! $Id$ ! ! Eikonal solver, "particles" refer here to points on the trajectory. ! !** AUTOMATIC CPARAM.INC GENERATION **************************** ! ! Declare (for generation of cparam.inc) the number of f array ! variables and auxiliary variables added by this module ! ! MPVAR CONTRIBUTION 6 ! MAUX CONTRIBUTION 2 ! CPARAM logical, parameter :: lparticles=.true. ! CPARAM character (len=20), parameter :: particles_module="eikonal" ! ! PENCILS PROVIDED np; rhop ! PENCILS PROVIDED epsp; grhop(3) ! !*************************************************************** module Particles ! use Cdata use Cparam use General, only: keep_compiler_quiet use Messages use Particles_cdata use Particles_map use Particles_mpicomm use Particles_sub use Particles_radius ! implicit none ! include 'particles.h' include 'particles_common.h' ! complex, dimension (7) :: coeff=(0.0,0.0) real, target, dimension (npar_species) :: tausp_species=0.0 real, target, dimension (npar_species) :: tausp1_species=0.0 real, dimension (3) :: temp_grad0=(/0.0,0.0,0.0/) real, dimension (3) :: pos_sphere=(/0.0,0.0,0.0/) real, dimension (3) :: pos_ellipsoid=(/0.0,0.0,0.0/) real :: xp0=0.0, yp0=0.0, zp0=0.0, vpx0=0.0, vpy0=0.0, vpz0=0.0 real :: xp1=0.0, yp1=0.0, zp1=0.0, vpx1=0.0, vpy1=0.0, vpz1=0.0 real :: xp2=0.0, yp2=0.0, zp2=0.0, vpx2=0.0, vpy2=0.0, vpz2=0.0 real :: xp3=0.0, yp3=0.0, zp3=0.0, vpx3=0.0, vpy3=0.0, vpz3=0.0 real :: Lx0=0.0, Ly0=0.0, Lz0=0.0 real :: sphere_theta1=0.0, sphere_theta2=0.0 real :: delta_vp0=1.0, tausp=0.0, tausp1=0.0 real :: nu_epicycle=0.0, nu_epicycle2=0.0 real :: beta_dPdr_dust=0.0, beta_dPdr_dust_scaled=0.0 real :: tausg_min=0.0, tausg1_max=0.0, epsp_friction_increase=100.0 real :: cdtp=0.2, cdtpgrav=0.1 real :: gravx=0.0, gravz=0.0, gravr=1.0, kx_gg=1.0, kz_gg=1.0 real :: gravsmooth=0.0, gravsmooth2=0.0, Ri0=0.25, eps1=0.5 real :: kx_xxp=0.0, ky_xxp=0.0, kz_xxp=0.0, amplxxp=0.0 real :: kx_vvp=0.0, ky_vvp=0.0, kz_vvp=0.0, amplvvp=0.0 real :: kx_vpx=0.0, kx_vpy=0.0, kx_vpz=0.0 real :: ky_vpx=0.0, ky_vpy=0.0, ky_vpz=0.0 real :: kz_vpx=0.0, kz_vpy=0.0, kz_vpz=0.0 real :: phase_vpx=0.0, phase_vpy=0.0, phase_vpz=0.0 real :: tstart_dragforce_par=0.0 real :: tstart_grav_par=0.0, tstart_grav_x_par=0.0 real :: tstart_grav_z_par=0.0, tstart_grav_r_par=0.0 real :: tstart_brownian_par=0.0 real :: tstart_collisional_cooling=0.0 real :: tau_coll_min=0.0, tau_coll1_max=0.0 real :: coeff_restitution=0.5, mean_free_path_gas=0.0 real :: rad_sphere=0.0 real :: a_ellipsoid=0.0, b_ellipsoid=0.0, c_ellipsoid=0.0 real :: a_ell2=0.0, b_ell2=0.0, c_ell2=0.0 real :: taucool=0.0, taucool1=0.0, brownian_T0=0.0 real :: particles_insert_rate=0. real :: avg_n_insert, remaining_particles=0.0 real :: max_particle_insert_time=huge1 real :: Deltauy_gas_friction=0.0 real :: cond_ratio=0.0 integer :: l_hole=0, m_hole=0, n_hole=0 integer :: iffg=0, ifgx=0, ifgy=0, ifgz=0 logical :: lleft_down=.false. logical :: ldragforce_dust_par=.false., ldragforce_gas_par=.false. logical :: ldragforce_stiff=.false., ldragforce_radialonly=.false. logical :: ldragforce_heat=.false., lcollisional_heat=.false. logical :: lpar_spec=.false. logical :: lcollisional_cooling_taucool=.false. logical :: lcollisional_cooling_rms=.false. logical :: lcollisional_cooling_twobody=.false. logical :: lcollisional_dragforce_cooling=.false. logical :: ltau_coll_min_courant=.true. logical :: ldragforce_equi_global_eps=.false., ldragforce_equi_noback=.false. logical :: ldraglaw_epstein=.true., ldraglaw_epstein_stokes_linear=.false. logical :: ldraglaw_simple=.false. logical :: ldraglaw_steadystate=.false., ldraglaw_variable=.false. logical :: ldraglaw_epstein_transonic=.false. logical :: ldraglaw_eps_stk_transonic=.false. logical :: ldraglaw_variable_density=.false. logical :: lcoldstart_amplitude_correction=.false. logical :: luse_tau_ap=.true. logical :: lbrownian_forces=.false. logical :: lenforce_policy=.false., lnostore_uu=.true. logical :: ldt_grav_par=.true., ldt_adv_par=.true. logical :: lglobalrandom=.false. logical :: lcoriolis_force_par=.true., lcentrifugal_force_par=.false. logical :: lcalc_uup=.false. logical :: lcylindrical_gravity_par=.false. ! character (len=labellen) :: interp_pol_uu ='ngp' character (len=labellen) :: interp_pol_oo ='ngp' character (len=labellen) :: interp_pol_TT ='ngp' character (len=labellen) :: interp_pol_rho='ngp' character (len=labellen) :: interp_pol_gradTT='ngp' ! character (len=labellen), dimension (ninit) :: initxxp='nothing' character (len=labellen), dimension (ninit) :: initvvp='nothing' character (len=labellen) :: gravx_profile='', gravz_profile='' character (len=labellen) :: gravr_profile='' ! integer :: init_repeat=0 !repeat particle initialization for distance statistics ! ! Interactions with special/shell ! integer :: nray=1 integer :: k_shell=-1 !k associated with minshell (special/shell.f90) logical :: l_shell=.false. !using special/shell.f90 for gas velocities ! real, dimension(3) :: uup_shared=0 real :: turnover_shared=0 logical :: vel_call=.false., turnover_call=.false. logical :: lreassign_strat_rhom=.true. ! namelist /particles_init_pars/ & initxxp, initvvp, xp0, yp0, zp0, vpx0, vpy0, vpz0, delta_vp0, & sphere_theta1, sphere_theta2, nray, lleft_down, & ldragforce_gas_par, ldragforce_dust_par, bcpx, bcpy, bcpz, tausp, & beta_dPdr_dust, np_swarm, mp_swarm, mpmat, rhop_swarm, eps_dtog, & nu_epicycle, rp_int, rp_ext, gravx_profile, gravz_profile, & gravr_profile, gravx, gravz, gravr, gravsmooth, kx_gg, kz_gg, Ri0, & eps1, lmigration_redo, ldragforce_equi_global_eps, coeff, kx_vvp, & ky_vvp, kz_vvp, amplvvp, kx_xxp, ky_xxp, kz_xxp, amplxxp, kx_vpx, & kx_vpy, kx_vpz, ky_vpx, ky_vpy, ky_vpz, kz_vpx, kz_vpy, kz_vpz, & phase_vpx, phase_vpy, phase_vpz, lcoldstart_amplitude_correction, & lparticlemesh_cic, lparticlemesh_tsc, linterpolate_spline, & tstart_dragforce_par, tstart_grav_par, & tstart_grav_x_par, tstart_grav_z_par,tstart_grav_r_par, taucool, & lcollisional_cooling_taucool, lcollisional_cooling_rms, & lcollisional_cooling_twobody, tausp_species, tau_coll_min, & ltau_coll_min_courant, coeff_restitution, tstart_collisional_cooling, & tausg_min, l_hole, m_hole, n_hole, & epsp_friction_increase,lcollisional_dragforce_cooling, ldragforce_heat, & lcollisional_heat, & lmigration_real_check, ldraglaw_epstein,ldraglaw_simple,ldraglaw_epstein_stokes_linear, & mean_free_path_gas, ldraglaw_epstein_transonic, lcheck_exact_frontier, & ldraglaw_eps_stk_transonic, dustdensity_powerlaw, rad_sphere, pos_sphere, ldragforce_stiff, & a_ellipsoid, b_ellipsoid, c_ellipsoid, pos_ellipsoid, & ldraglaw_steadystate, & tstart_brownian_par, & lbrownian_forces,lenforce_policy, & interp_pol_uu,interp_pol_oo,interp_pol_TT,interp_pol_rho, brownian_T0, & lnostore_uu, ldt_grav_par, ldragforce_radialonly, & lcoriolis_force_par, lcentrifugal_force_par, ldt_adv_par, Lx0, Ly0, & Lz0, lglobalrandom, linsert_particles_continuously, & lrandom_particle_pencils, lnocalc_np, lnocalc_rhop, & np_const, rhop_const, particle_radius, & ldragforce_equi_noback, rhopmat, Deltauy_gas_friction, xp1, & yp1, zp1, vpx1, vpy1, vpz1, xp2, yp2, zp2, vpx2, vpy2, vpz2, & xp3, yp3, zp3, vpx3, vpy3, vpz3, & lcalc_uup, temp_grad0, cond_ratio, interp_pol_gradTT, & lreassign_strat_rhom ! namelist /particles_run_pars/ & bcpx, bcpy, bcpz, tausp, dsnap_par_minor, beta_dPdr_dust, & ldragforce_gas_par, ldragforce_dust_par, np_swarm, mp_swarm, & rhop_swarm, eps_dtog, cdtp, cdtpgrav, lpar_spec, linterp_reality_check, & nu_epicycle, gravx_profile, gravz_profile, gravr_profile, gravx, gravz, & gravr, gravsmooth, kx_gg, kz_gg, lmigration_redo, tstart_dragforce_par, & tstart_grav_par, tstart_grav_x_par, & tstart_grav_z_par, tstart_grav_r_par, & lparticlemesh_cic, lparticlemesh_tsc, taucool, & lcollisional_cooling_taucool, lcollisional_cooling_rms, & lcollisional_cooling_twobody, lcollisional_dragforce_cooling, & tau_coll_min, ltau_coll_min_courant, coeff_restitution, & tstart_collisional_cooling, tausg_min, epsp_friction_increase, & ldragforce_heat, lcollisional_heat, & lmigration_real_check,ldraglaw_variable, luse_tau_ap, ldraglaw_epstein, ldraglaw_simple, & ldraglaw_epstein_stokes_linear, mean_free_path_gas, & ldraglaw_epstein_transonic, lcheck_exact_frontier, & ldraglaw_eps_stk_transonic, ldragforce_stiff, & ldraglaw_variable_density, ldraglaw_steadystate, & tstart_brownian_par, & lbrownian_forces, lenforce_policy, & interp_pol_uu,interp_pol_oo, interp_pol_TT, interp_pol_rho, & brownian_T0, lnostore_uu, ldt_grav_par, & ldragforce_radialonly, & lcoriolis_force_par, lcentrifugal_force_par, ldt_adv_par, & particles_insert_rate, & max_particle_insert_time, lrandom_particle_pencils, lnocalc_np, lnocalc_rhop, & np_const, rhop_const, particle_radius, & Deltauy_gas_friction, & loutput_psize_dist, log_ap_min_dist, log_ap_max_dist, nbin_ap_dist, & temp_grad0, & cond_ratio, interp_pol_gradTT, lcommunicate_rhop, & lcommunicate_np, lcylindrical_gravity_par, & l_shell, k_shell ! integer :: idiag_xpm=0, idiag_ypm=0, idiag_zpm=0 integer :: idiag_xp2m=0, idiag_yp2m=0, idiag_zp2m=0 integer :: idiag_rpm=0, idiag_rp2m=0 integer :: idiag_vpxm=0, idiag_vpym=0, idiag_vpzm=0 integer :: idiag_vpx2m=0, idiag_vpy2m=0, idiag_vpz2m=0, idiag_ekinp=0 integer :: idiag_vpxmax=0, idiag_vpymax=0, idiag_vpzmax=0, idiag_vpmax=0 integer :: idiag_vpzmin=0 integer :: idiag_vpxvpym=0, idiag_vpxvpzm=0, idiag_vpyvpzm=0 integer :: idiag_rhopvpxm=0, idiag_rhopvpym=0, idiag_rhopvpzm=0 integer :: idiag_rhopvpxt=0, idiag_rhopvpyt=0, idiag_rhopvpzt=0 integer :: idiag_rhopvpysm=0 integer :: idiag_lpxm=0, idiag_lpym=0, idiag_lpzm=0 integer :: idiag_lpx2m=0, idiag_lpy2m=0, idiag_lpz2m=0 integer :: idiag_npm=0, idiag_np2m=0, idiag_npmax=0, idiag_npmin=0 integer :: idiag_dtdragp=0 integer :: idiag_nparmin=0, idiag_nparmax=0, idiag_npargone=0 integer :: idiag_rhopm=0, idiag_rhoprms=0, idiag_rhop2m=0, idiag_rhopmax=0 integer :: idiag_rhopmin=0, idiag_decollp=0, idiag_rhopmphi=0 integer :: idiag_epspmin=0, idiag_epspmax=0 integer :: idiag_npmx=0, idiag_npmy=0, idiag_npmz=0 integer :: idiag_rhopmx=0, idiag_rhopmy=0, idiag_rhopmz=0 integer :: idiag_epspmx=0, idiag_epspmy=0, idiag_epspmz=0 integer :: idiag_mpt=0, idiag_dedragp=0, idiag_rhopmxy=0, idiag_rhopmr=0 integer :: idiag_dvpx2m=0, idiag_dvpy2m=0, idiag_dvpz2m=0 integer :: idiag_dvpm=0, idiag_dvpmax=0, idiag_epotpm=0 integer :: idiag_rhopmxz=0, idiag_nparpmax=0, idiag_npmxy=0 integer :: idiag_eccpxm=0, idiag_eccpym=0, idiag_eccpzm=0 integer :: idiag_eccpx2m=0, idiag_eccpy2m=0, idiag_eccpz2m=0 integer :: idiag_vprms=0, idiag_vpyfull2m=0, idiag_deshearbcsm=0 integer :: idiag_omegapm=0 ! contains !*********************************************************************** subroutine register_particles() ! ! Set up indices for access to the fp and dfp arrays ! ! 29-dec-04/anders: coded ! use FArrayManager, only: farray_register_auxiliary ! if (lroot) call svn_id( & "$Id$") ! ! Indices for particle position. ! call append_npvar('ixp',ixp) call append_npvar('iyp',iyp) call append_npvar('izp',izp) ! ! Indices for particle velocity. ! call append_npvar('ivpx',ivpx) call append_npvar('ivpy',ivpy) call append_npvar('ivpz',ivpz) ! ! Set indices for particle assignment. ! if (.not. lnocalc_np) call farray_register_auxiliary('np',inp,& communicated=lcommunicate_np) if (.not. lnocalc_rhop) call farray_register_auxiliary('rhop',irhop, & communicated=lcommunicate_rhop) if (lcalc_uup .or. ldragforce_stiff) then call farray_register_auxiliary('uup',iuup,communicated=.true.,vector=3) iupx=iuup; iupy=iuup+1; iupz=iuup+2 endif ! ! Special variable for stiff drag force equations. ! if (ldragforce_stiff) then call farray_register_auxiliary('ffg',iffg,communicated=.true.,vector=3) ifgx=iffg; ifgy=iffg+1; ifgz=iffg+2 endif ! endsubroutine register_particles !*********************************************************************** subroutine initialize_particles(f) ! ! Perform any post-parameter-read initialization i.e. calculate derived ! parameters. ! ! 29-dec-04/anders: coded ! use EquationOfState, only: rho0, cs0 use SharedVariables, only: put_shared_variable ! real, dimension (mx,my,mz,mfarray) :: f ! real :: rhom integer :: ierr, jspec ! ! This module is incompatible with particle block domain decomposition. ! if (lparticles_blocks) then if (lroot) then print*, 'initialize_particles: must use PARTICLES = PARTICLES_DUST_BLOCKS' print*, ' with particle block domain decomposition' endif call fatal_error('initialize_particles','') endif ! ! Report the particle radius, if set. ! apar: if (particle_radius /= 0.0) then if (lparticles_radius) & call fatal_error('initialize_particles', 'particle_radius /= 0 has no effect when module Particles_radius is on. ') if (lroot) print *, 'initialize_particles: radius of each constituent particle = ', particle_radius endif apar ! ! The inverse stopping time is needed for drag force and collisional cooling. ! if (tausp/=0.0) tausp1=1/tausp ! ! Inverse cooling time. ! if (taucool/=0.0) taucool1=1/taucool ! ! Inverse material density. ! if (rhopmat/=0.0) rhopmat1=1/rhopmat ! ! Multiple dust species. Friction time is given in the array tausp_species. ! if (npar_species>1) then if (lroot) then print*, 'initialize_particles: '// & 'Number of particle species = ', npar_species print*, 'initialize_particles: tausp_species = ', tausp_species endif ! ! Must have set tausp_species for drag force. ! if (ldragforce_dust_par .or. ldragforce_gas_par) then if (any(tausp_species==0.0)) then if (lroot) print*, & 'initialize_particles: drag force must have tausp_species/=0.0!' call fatal_error('initialize_particles','') endif ! ! Inverse friction time is needed for drag force. ! do jspec=1,npar_species if (tausp_species(jspec)/=0.0) & tausp1_species(jspec)=1/tausp_species(jspec) enddo endif else ! ! Single dust species => If tausp_species is set, it is probably an error. ! if (any(tausp_species/=0.0) .and. tausp/=tausp_species(1)) then call fatal_error('initialize_particles', 'When there is only '// & '1 particle species, use tausp instead of tausp_species') endif tausp_species(1)=tausp if (tausp_species(1)/=0.0) tausp1_species(1)=1/tausp_species(1) endif ! ! Share friction time (but only if Epstein drag regime!). ! if (ldraglaw_epstein .or. ldraglaw_simple) then call put_shared_variable( 'tausp_species', tausp_species) call put_shared_variable('tausp1_species',tausp1_species) endif ! ! Global gas pressure gradient seen from the perspective of the dust. ! if (beta_dPdr_dust/=0.0) then beta_dPdr_dust_scaled=beta_dPdr_dust*Omega/cs0 if (lroot) print*, 'initialize_particles: Global pressure '// & 'gradient with beta_dPdr_dust=', beta_dPdr_dust endif ! ! Calculate mass density per particle (for back-reaction drag force on gas) ! based on the dust-to-gas ratio eps: ! ! rhop_swarm*N_cell = eps*rhom ! ! where rhop_swarm is the mass density per superparticle, N_cell is the number ! of particles per grid cell and rhom is the mean gas density in the box. ! if (eps_dtog>0.0) then ! For stratification, take into account gas present outside the simulation box. if (lreassign_strat_rhom.and.((lgravz .and. lgravz_gas) .or. gravz_profile=='linear')) then ! rhom = (total mass) / (box volume) = Sigma / Lz ! Sigma = sqrt(2pi) * rho0 * H ! rho0 = mid-plane density, H = (sound speed) / (epicycle frequency) rhom = sqrt(2.0 * pi) / Lz if (nu_epicycle > 0.0) rhom = rhom * (rho0 * cs0 / nu_epicycle) else rhom = rho0 endif if (rhop_swarm==0.0) & rhop_swarm = eps_dtog*rhom/(real(npar)/nwgrid) if (mp_swarm==0.0) & mp_swarm = eps_dtog*rhom*box_volume/(real(npar)) if (lroot) print*, 'initialize_particles: '// & 'dust-to-gas ratio eps_dtog=', eps_dtog endif ! if (lroot) then print*, 'initialize_particles: '// & 'mass per constituent particle mpmat=', mpmat print*, 'initialize_particles: '// & 'mass per superparticle mp_swarm =', mp_swarm print*, 'initialize_particles: '// & 'number density per superparticle np_swarm=', np_swarm print*, 'initialize_particles: '// & 'mass density per superparticle rhop_swarm=', rhop_swarm endif ! ! Calculate nu_epicycle**2 for gravity. ! if (gravz_profile=='' .and. nu_epicycle/=0.0) gravz_profile='linear' nu_epicycle2=nu_epicycle**2 ! ! Calculate gravsmooth**2 for gravity. ! if (gravsmooth/=0.0) gravsmooth2=gravsmooth**2 ! ! Share Keplerian gravity. ! call put_shared_variable('gravr',gravr,ierr) if (ierr/=0) call fatal_error('initialize_particles', & 'there was a problem when sharing gravr') ! ! Inverse of minimum gas friction time (time-step control). ! if (tausg_min/=0.0) tausg1_max=1.0/tausg_min ! ! Set minimum collisional time-scale so that time-step is not affected. ! if (lrun .and. ltau_coll_min_courant) then if (cs0==impossible) then tau_coll_min=impossible else tau_coll_min=2*dx/cs0 endif if (lroot) print*, 'initialize particles: set minimum collisional '// & 'time-scale equal to two times the Courant time-step.' endif ! ! Inverse of minimum collisional time-scale. ! if (lrun .and. tau_coll_min>0.0) tau_coll1_max=1/tau_coll_min ! ! Gas density is needed for back-reaction friction force. ! if (ldragforce_gas_par .and. .not. ldensity) then if (lroot) then print*, 'initialize_particles: friction force on gas only works ' print*, ' together with gas density module!' endif call fatal_error('initialize_particles','') endif ! ! Need to map particles on the grid for dragforce on gas. ! if (ldragforce_gas_par) then ! ! When drag force is smoothed, df is also set in the first ghost zone. This ! region needs to be folded back into the df array after pde is finished, ! if (lparticlemesh_cic .or. lparticlemesh_tsc) lfold_df=.true. endif ! if (lcollisional_cooling_twobody) then allocate(kneighbour(mpar_loc)) lshepherd_neighbour=.true. endif ! if (ldraglaw_epstein_stokes_linear) ldraglaw_epstein=.false. if (ldraglaw_epstein_transonic .or.& ldraglaw_eps_stk_transonic .or.& ldraglaw_steadystate .or.& ldraglaw_simple) then ldraglaw_epstein=.false. endif if (ldraglaw_epstein_transonic .and.& ldraglaw_eps_stk_transonic) then print*,'both epstein and epstein-stokes transonic '//& 'drag laws are switched on. You cannot have '//& 'both. Stop and choose only one.' call fatal_error('initialize_particles','') endif ! ! Stiff drag force approximation. ! if (ldragforce_stiff) then if (ldragforce_dust_par .or. ldragforce_gas_par) then if (lroot) print*, 'initialize_particles: stiff drag force '// & 'approximation is incompatible with normal drag' call fatal_error('initialize_particles','') endif f(l1:l2,m1:m2,n1:n2,ifgx:ifgz)=0.0 endif ! ! Initialize storage of energy gain released by shearing boundaries. ! if (idiag_deshearbcsm/=0) energy_gain_shear_bcs=0.0 ! ! Drag force on gas right now assumed rhop_swarm is the same for all particles. ! if (ldragforce_gas_par.and.(lparticles_radius.or.lparticles_number) & .and..not.lparticles_density) then if (lroot) print*, 'initialize_particles: drag force on gas is '// & 'not yet implemented for variable particle radius or number' call fatal_error('initialize_particles','') endif ! ! Particle self gravity for x,z,r direction ! if ( tstart_grav_par > 0.0) then tstart_grav_x_par = tstart_grav_par tstart_grav_z_par = tstart_grav_par tstart_grav_r_par = tstart_grav_par endif ! ! Set up interpolation logicals. These logicals can be OR'ed with some logical ! in the other particle modules' initialization subroutines to enable ! interpolation based on some condition local to that module. ! (The particles_spin module will for instance enable interpolation of the ! vorticity oo) ! uu: if (lnostore_uu) then if (ldraglaw_steadystate .or. lparticles_spin) & call fatal_error('initialize_particles', 'lnostore_uu = .false. is required. ') interp%luu = .false. else uu interp%luu = ldragforce_dust_par .or. ldraglaw_steadystate .or. lparticles_spin endif uu interp%loo=.false. interp%lTT=(lbrownian_forces.and.(brownian_T0==0.0)) interp%lrho=lbrownian_forces.or.ldraglaw_steadystate ! ! Determine interpolation policies: ! Make sure that interpolation of uu is chosen in a backwards compatible ! manner. NGP is chosen by default. ! if (.not.lenforce_policy) then if (lparticlemesh_cic) then interp_pol_uu='cic' else if (lparticlemesh_tsc) then interp_pol_uu='tsc' endif endif ! ! Overwrite with new policy variables: ! select case (interp_pol_uu) case ('tsc') interp%pol_uu=tsc case ('cic') interp%pol_uu=cic case ('ngp') interp%pol_uu=ngp case default call fatal_error('initialize_particles','No such such value for '// & 'interp_pol_uu: '//trim(interp_pol_uu)) endselect ! select case (interp_pol_oo) case ('tsc') interp%pol_oo=tsc case ('cic') interp%pol_oo=cic case ('ngp') interp%pol_oo=ngp case default call fatal_error('initialize_particles','No such such value for '// & 'interp_pol_oo: '//trim(interp_pol_oo)) endselect ! select case (interp_pol_TT) case ('tsc') interp%pol_TT=tsc case ('cic') interp%pol_TT=cic case ('ngp') interp%pol_TT=ngp case default call fatal_error('initialize_particles','No such such value for '// & 'interp_pol_TT: '//trim(interp_pol_TT)) endselect ! select case (interp_pol_gradTT) case ('tsc') call fatal_error('initialize_particles','Not implemented gradTT'// & 'interp_pol_gradTT: '//trim(interp_pol_gradTT)) case ('cic') call fatal_error('initialize_particles','Not implemented gradTT'// & 'interp_pol_gradTT: '//trim(interp_pol_gradTT)) case ('ngp') interp%pol_gradTT=ngp case default call fatal_error('initialize_particles','No such such value for '// & 'interp_pol_gradTT: '//trim(interp_pol_gradTT)) endselect ! select case (interp_pol_rho) case ('tsc') interp%pol_rho=tsc case ('cic') interp%pol_rho=cic case ('ngp') interp%pol_rho=ngp case default call fatal_error('initialize_particles','No such such value for '// & 'interp_pol_rho: '//trim(interp_pol_rho)) endselect ! if (l_shell) then if ( k_shell < 0) call fatal_error('initialize_particles','Set k_shell') call put_shared_variable('uup_shared',uup_shared,ierr) call put_shared_variable('vel_call',vel_call,ierr) call put_shared_variable('turnover_call',turnover_call,ierr) call put_shared_variable('turnover_shared',turnover_shared,ierr) endif ! ! Write constants to disk. ! if (lroot) then open (1,file=trim(datadir)//'/pc_constants.pro',position='append') write (1,*) 'np_swarm=', np_swarm write (1,*) 'mpmat=', mpmat write (1,*) 'mp_swarm=', mp_swarm write (1,*) 'rhop_swarm=', rhop_swarm close (1) endif ! call keep_compiler_quiet(f) ! endsubroutine initialize_particles !*********************************************************************** subroutine init_particles(f,fp,ineargrid) ! ! Initial positions and velocities of dust particles. ! ! 29-dec-04/anders: coded ! use Density, only: beta_glnrho_global use EquationOfState, only: cs20 use General, only: random_number_wrapper use Mpicomm, only: mpireduce_sum, mpibcast_real use InitialCondition, only: initial_condition_xxp,& initial_condition_vvp use Particles_diagnos_dv, only: repeated_init ! real, dimension (mx,my,mz,mfarray) :: f real, dimension (mpar_loc,mparray) :: fp integer, dimension (mpar_loc,3) :: ineargrid ! real, dimension (3) :: uup, Lxyz_par, xyz0_par, xyz1_par real :: vpx_sum, vpy_sum, vpz_sum real :: r, p, q, px, py, pz, eps, cs, k2_xxp, rp2 real :: dim1, npar_loc_x, npar_loc_y, npar_loc_z, dx_par, dy_par, dz_par real :: rad,rad_scl,phi,tmp,OO,xx0,yy0,r2 real :: theta1, theta2, fact=1. integer :: l, j, k, ix0, iy0, iz0, nsource, ipar1, ipar2, isource, k1 integer :: ntheta logical :: lequidistant=.false. character (len=7) :: data_format="(6f8.4)" ! intent (out) :: f, fp, ineargrid ! ! Use either a local random position or a global random position for certain ! initial conditions. The default is a local random position, but the equal ! number of particles per processors means that this is not completely random. ! if (lglobalrandom) then Lxyz_par=Lxyz xyz0_par=xyz0 xyz1_par=xyz1 else Lxyz_par=Lxyz_loc xyz0_par=xyz0_loc xyz1_par=xyz1_loc endif ! ! Initial particle position. ! do j=1,ninit ! select case (initxxp(j)) ! case ('nothing') if (lroot .and. j==1) print*, 'init_particles: nothing' ! case ('origin') if (lroot) print*, 'init_particles: All particles at origin' fp(1:npar_loc,ixp:izp)=0.0 ! case ('zero-z') if (lroot) print*, 'init_particles: Zero z coordinate' fp(1:npar_loc,izp)=0.0 ! case ('constant') if (lroot) & print*, 'init_particles: All particles at x,y,z=', xp0, yp0, zp0 fp(1:npar_loc,ixp)=xp0 fp(1:npar_loc,iyp)=yp0 fp(1:npar_loc,izp)=zp0 ! case ('constant-1') if (lroot) & print*, 'init_particles: Particle 1 at x,y,z=', xp1, yp1, zp1 do k=1,npar_loc if (ipar(k)==1) then fp(k,ixp)=xp1 fp(k,iyp)=yp1 fp(k,izp)=zp1 endif enddo ! case ('constant-2') if (lroot) & print*, 'init_particles: Particle 2 at x,y,z=', xp2, yp2, zp2 do k=1,npar_loc if (ipar(k)==2) then fp(k,ixp)=xp2 fp(k,iyp)=yp2 fp(k,izp)=zp2 endif enddo ! case ('constant-3') if (lroot) & print*, 'init_particles: Particle 2 at x,y,z=', xp3, yp3, zp3 do k=1,npar_loc if (ipar(k)==3) then fp(k,ixp)=xp3 fp(k,iyp)=yp3 fp(k,izp)=zp3 endif enddo ! case ('random') if (lroot) print*, 'init_particles: Random particle positions' do k=1,npar_loc if (nxgrid/=1) call random_number_wrapper(fp(k,ixp)) if (nygrid/=1) call random_number_wrapper(fp(k,iyp)) if (nzgrid/=1) call random_number_wrapper(fp(k,izp)) enddo if (nxgrid/=1) & fp(1:npar_loc,ixp)=xyz0_par(1)+fp(1:npar_loc,ixp)*Lxyz_par(1) if (nygrid/=1) & fp(1:npar_loc,iyp)=xyz0_par(2)+fp(1:npar_loc,iyp)*Lxyz_par(2) if (nzgrid/=1) & fp(1:npar_loc,izp)=xyz0_par(3)+fp(1:npar_loc,izp)*Lxyz_par(3) ! case ('random-sources') if (lroot) print*, 'init_particles: Random particle positions' nsource=npar_loc/nray do isource=1,nsource if (nxgrid/=1) call random_number_wrapper(fp(isource,ivpx)) if (nygrid/=1) call random_number_wrapper(fp(isource,ivpy)) if (nzgrid/=1) call random_number_wrapper(fp(isource,ivpz)) enddo do isource=1,nsource ipar1=(isource-1)*nray+1 ipar2=ipar1+nray-1 if (nxgrid/=1) & fp(ipar1:ipar2,ixp)=xyz0_par(1)+fp(isource,ivpx)*Lxyz_par(1) if (nygrid/=1) & fp(ipar1:ipar2,iyp)=xyz0_par(2)+fp(isource,ivpy)*Lxyz_par(2) if (nzgrid/=1) & fp(ipar1:ipar2,izp)=xyz0_par(3)+fp(isource,ivpz)*Lxyz_par(3) enddo ! do isource=1,nsource ipar1=(isource-1)*nray+1 do k=1,nray phi=2*pi*real(k)/real(nray) k1=ipar1+k-1 fp(k1,ivpx)=amplvvp*cos(phi) fp(k1,ivpy)=0. fp(k1,ivpz)=amplvvp*sin(phi) enddo enddo ! case ('random-circle') if (lroot) print*, 'init_particles: Random particle positions' do k=1,npar_loc call random_number_wrapper(r) if (zp0>yp0) then fp(k,ixp)=xp0*cos((zp0-yp0)*r+yp0) fp(k,iyp)=xp0*sin((zp0-yp0)*r+yp0) else fp(k,ixp)=xp0*cos(2*pi*r) fp(k,iyp)=xp0*sin(2*pi*r) endif enddo ! case ('random-sphere') if (lroot) print*, 'init_particles: Random particle positions '// & 'in a sphere around (0,0,0) with radius=',rad_sphere if (rad_sphere==0) then call fatal_error('init_particles','random-sphere '// & 'radius needs to be larger than zero') endif if (-rad_sphere+pos_sphere(1)xyz1(1) .or. & -rad_sphere+pos_sphere(2)xyz1(2) .or. & -rad_sphere+pos_sphere(3)xyz1(3)) then call fatal_error('init_particles','random-sphere '// & 'sphere needs to fit in the box') endif if (lcartesian_coords) then do k=1,npar_loc rp2=2.*rad_sphere**2 do while (rp2>rad_sphere**2) call random_number_wrapper(fp(k,ixp)) call random_number_wrapper(fp(k,iyp)) call random_number_wrapper(fp(k,izp)) fp(k,ixp)=(fp(k,ixp)-0.5)*2.*rad_sphere fp(k,iyp)=(fp(k,iyp)-0.5)*2.*rad_sphere fp(k,izp)=(fp(k,izp)-0.5)*2.*rad_sphere rp2=fp(k,ixp)**2+fp(k,iyp)**2+fp(k,izp)**2 enddo fp(k,ixp)=fp(k,ixp)+pos_sphere(1) fp(k,iyp)=fp(k,iyp)+pos_sphere(2) fp(k,izp)=fp(k,izp)+pos_sphere(3) enddo else call fatal_error('init_particles','random-sphere '// & 'only implemented for cartesian coordinates') endif ! case ('random-ellipsoid') if (lroot) print*, 'init_particles: Random particle positions '// & 'in an ellipsoid around ', pos_ellipsoid, ' with ' // & 'semi-principal axes a,b,c =',a_ellipsoid,b_ellipsoid,c_ellipsoid if ((a_ellipsoid==0) .or. (b_ellipsoid==0) .or. (c_ellipsoid==0)) then call fatal_error('init_particles','random-ellipsoid '// & 'all semi-principal axes need to be larger than zero') endif if (-a_ellipsoid+pos_ellipsoid(1)xyz1(1) .or. & -b_ellipsoid+pos_ellipsoid(2)xyz1(2) .or. & -c_ellipsoid+pos_ellipsoid(3)xyz1(3)) then call fatal_error('init_particles','random-ellipsoid '// & 'ellipsoid needs to fit in the box') endif if (lcartesian_coords) then a_ell2=a_ellipsoid**2 b_ell2=b_ellipsoid**2 c_ell2=c_ellipsoid**2 do k=1,npar_loc rp2=2. do while (rp2>1.) call random_number_wrapper(fp(k,ixp)) call random_number_wrapper(fp(k,iyp)) call random_number_wrapper(fp(k,izp)) fp(k,ixp)=(fp(k,ixp)-0.5)*2.*a_ellipsoid fp(k,iyp)=(fp(k,iyp)-0.5)*2.*b_ellipsoid fp(k,izp)=(fp(k,izp)-0.5)*2.*c_ellipsoid rp2=fp(k,ixp)**2/a_ell2+fp(k,iyp)**2/b_ell2+fp(k,izp)**2/c_ell2 enddo fp(k,ixp)=fp(k,ixp)+pos_ellipsoid(1) fp(k,iyp)=fp(k,iyp)+pos_ellipsoid(2) fp(k,izp)=fp(k,izp)+pos_ellipsoid(3) enddo else call fatal_error('init_particles','random-ellipsoid '// & 'only implemented for cartesian coordinates') endif ! case ('random-line-x') if (lroot) print*, 'init_particles: Random particle positions' do k=1,npar_loc if (nxgrid/=1) call random_number_wrapper(fp(k,ixp)) enddo if (nxgrid/=1) & fp(1:npar_loc,ixp)=xyz0_par(1)+fp(1:npar_loc,ixp)*Lxyz_par(1) fp(1:npar_loc,iyp)=yp0 fp(1:npar_loc,izp)=zp0 ! case ('random-line-y') if (lroot) print*, 'init_particles: Random particle positions' do k=1,npar_loc if (nygrid/=1) call random_number_wrapper(fp(k,iyp)) enddo if (nygrid/=1) & fp(1:npar_loc,iyp)=xyz0_par(2)+fp(1:npar_loc,iyp)*Lxyz_par(2) fp(1:npar_loc,ixp)=xp0 fp(1:npar_loc,izp)=zp0 ! case ('random-hole') if (lroot) print*, 'init_particles: Random particle positions '// & 'with inner hole' do k=1,npar_loc rp2=-1.0 do while (rp2npar_loc)) do l=l1,l2; do m=m1,m2; do n=n1,n2 if (nxgrid/=1) call random_number_wrapper(px) if (nygrid/=1) call random_number_wrapper(py) if (nzgrid/=1) call random_number_wrapper(pz) fp(k,ixp)=x(l)+(px-0.5)*dx fp(k,iyp)=y(m)+(py-0.5)*dy fp(k,izp)=z(n)+(pz-0.5)*dz k=k+1 if (k>npar_loc) exit k_loop enddo; enddo; enddo enddo k_loop ! case ('equidistant') if (lroot) print*, 'init_particles: Particles placed equidistantly' dim1=1.0/dimensionality ! ! Number of particles per direction. Found by solving the equation system ! ! npar_loc_x/npar_loc_y = Lx_loc/Ly_loc ! npar_loc_x/npar_loc_z = Lx_loc/Lz_loc ! npar_loc_y/npar_loc_z = Ly_loc/Lz_loc ! npar_loc_x*npar_loc_y*npar_loc_z = npar_loc ! ! Found it to be easier to separate in all possible dimensionalities. ! For a missing direction i, set npar_loc_i=1 in the above equations and ! ignore any equation that has Li_loc in it. ! ! Initiate to avoid compiler warnings. Will be overwritten. npar_loc_x=1;npar_loc_y=1;npar_loc_z=1 ! if (dimensionality==3) then ! 3-D npar_loc_x=(npar_loc*Lxyz_loc(1)**2/(Lxyz_loc(2)*Lxyz_loc(3)))**dim1 npar_loc_y=(npar_loc*Lxyz_loc(2)**2/(Lxyz_loc(1)*Lxyz_loc(3)))**dim1 npar_loc_z=(npar_loc*Lxyz_loc(3)**2/(Lxyz_loc(1)*Lxyz_loc(2)))**dim1 elseif (dimensionality==2) then ! 2-D if (nxgrid==1) then npar_loc_x=1 npar_loc_y=(npar_loc*Lxyz_loc(2)/Lxyz_loc(3))**dim1 npar_loc_z=(npar_loc*Lxyz_loc(3)/Lxyz_loc(2))**dim1 elseif (nygrid==1) then npar_loc_x=(npar_loc*Lxyz_loc(1)/Lxyz_loc(3))**dim1 npar_loc_y=1 npar_loc_z=(npar_loc*Lxyz_loc(3)/Lxyz_loc(2))**dim1 elseif (nzgrid==1) then npar_loc_x=(npar_loc*Lxyz_loc(1)/Lxyz_loc(2))**dim1 npar_loc_y=(npar_loc*Lxyz_loc(2)/Lxyz_loc(1))**dim1 npar_loc_z=1 endif elseif (dimensionality==1) then ! 1-D if (nxgrid/=1) then npar_loc_x=npar_loc npar_loc_y=1 npar_loc_z=1 elseif (nygrid/=1) then npar_loc_x=1 npar_loc_y=npar_loc npar_loc_z=1 elseif (nzgrid/=1) then npar_loc_x=1 npar_loc_y=1 npar_loc_z=npar_loc endif endif ! Distance between particles. dx_par=Lxyz_loc(1)/npar_loc_x dy_par=Lxyz_loc(2)/npar_loc_y dz_par=Lxyz_loc(3)/npar_loc_z ! Place first particle. fp(1,ixp) = x(l1) ; fp(1,iyp) = y(m1) ; fp(1,izp) = z(n1) if (nxgrid/=1) fp(1,ixp) = xyz0_loc(1)+dx_par/2 if (nygrid/=1) fp(1,iyp) = xyz0_loc(2)+dy_par/2 if (nzgrid/=1) fp(1,izp) = xyz0_loc(3)+dz_par/2 ! Place all other particles iteratively. if (dimensionality==3) then ! 3-D do k=2,npar_loc fp(k,ixp)=fp(k-1,ixp)+dx_par fp(k,iyp)=fp(k-1,iyp) fp(k,izp)=fp(k-1,izp) if (fp(k,ixp)>xyz1_loc(1)) then fp(k,ixp)=fp(1,ixp) fp(k,iyp)=fp(k,iyp)+dy_par endif if (fp(k,iyp)>xyz1_loc(2)) then fp(k,iyp)=fp(1,iyp) fp(k,izp)=fp(k,izp)+dz_par endif enddo elseif (dimensionality==2) then ! 2-D if (nxgrid==1) then do k=2,npar_loc fp(k,ixp)=fp(k-1,ixp) fp(k,iyp)=fp(k-1,iyp)+dy_par fp(k,izp)=fp(k-1,izp) if (fp(k,iyp)>xyz1_loc(2)) then fp(k,iyp)=fp(1,iyp) fp(k,izp)=fp(k,izp)+dz_par endif enddo elseif (nygrid==1) then do k=2,npar_loc fp(k,ixp)=fp(k-1,ixp)+dx_par fp(k,iyp)=fp(k-1,iyp) fp(k,izp)=fp(k-1,izp) if (fp(k,ixp)>xyz1_loc(1)) then fp(k,ixp)=fp(1,ixp) fp(k,izp)=fp(k,izp)+dz_par endif enddo elseif (nzgrid==1) then do k=2,npar_loc fp(k,ixp)=fp(k-1,ixp)+dx_par fp(k,iyp)=fp(k-1,iyp) fp(k,izp)=fp(k-1,izp) if (fp(k,ixp)>xyz1_loc(1)) then fp(k,ixp)=fp(1,ixp) fp(k,iyp)=fp(k,iyp)+dy_par endif enddo endif elseif (dimensionality==1) then ! 1-D if (nxgrid/=1) then do k=2,npar_loc fp(k,ixp)=fp(k-1,ixp)+dx_par fp(k,iyp)=fp(k-1,iyp) fp(k,izp)=fp(k-1,izp) enddo elseif (nygrid/=1) then do k=2,npar_loc fp(k,ixp)=fp(k-1,ixp) fp(k,iyp)=fp(k-1,iyp)+dy_par fp(k,izp)=fp(k-1,izp) enddo elseif (nzgrid/=1) then do k=2,npar_loc fp(k,ixp)=fp(k-1,ixp) fp(k,iyp)=fp(k-1,iyp) fp(k,izp)=fp(k-1,izp)+dz_par enddo endif else ! 0-D fp(2:npar_loc,ixp)=fp(1,ixp) fp(2:npar_loc,iyp)=fp(1,iyp) fp(2:npar_loc,izp)=fp(1,izp) endif lequidistant=.true. ! ! Shift particle locations slightly so that a mode appears. ! case ('shift') if (lroot) print*, 'init_particles: shift particle positions' if (.not. lequidistant) then if (lroot) print*, 'init_particles: must place particles equidistantly before shifting!' call fatal_error('init_particles','') endif k2_xxp=kx_xxp**2+ky_xxp**2+kz_xxp**2 if (k2_xxp==0.0) then if (lroot) print*, & 'init_particles: kx_xxp=ky_xxp=kz_xxp=0.0 is not allowed!' call fatal_error('init_particles','') endif do k=1,npar_loc fp(k,ixp) = fp(k,ixp) - kx_xxp/k2_xxp*amplxxp* & sin(kx_xxp*fp(k,ixp)+ky_xxp*fp(k,iyp)+kz_xxp*fp(k,izp)) fp(k,iyp) = fp(k,iyp) - ky_xxp/k2_xxp*amplxxp* & sin(kx_xxp*fp(k,ixp)+ky_xxp*fp(k,iyp)+kz_xxp*fp(k,izp)) fp(k,izp) = fp(k,izp) - kz_xxp/k2_xxp*amplxxp* & sin(kx_xxp*fp(k,ixp)+ky_xxp*fp(k,iyp)+kz_xxp*fp(k,izp)) enddo ! case ('gaussian-z') if (lroot) print*, 'init_particles: Gaussian particle positions' do k=1,npar_loc do while (.true.) if (nxgrid/=1) call random_number_wrapper(fp(k,ixp)) if (nygrid/=1) call random_number_wrapper(fp(k,iyp)) call random_number_wrapper(r) call random_number_wrapper(p) if (nprocz==2) then if (lfirst_proc_z) fp(k,izp)=-abs(zp0*sqrt(-2*alog(r))*cos(2*pi*p)) if (llast_proc_z) fp(k,izp)=abs(zp0*sqrt(-2*alog(r))*cos(2*pi* p)) else fp(k,izp)= zp0*sqrt(-2*alog(r))*cos(2*pi*p) endif if ((fp(k,izp)>=xyz0(3)).and.(fp(k,izp)<=xyz1(3))) exit enddo enddo if (nxgrid/=1) & fp(1:npar_loc,ixp)=xyz0_par(1)+fp(1:npar_loc,ixp)*Lxyz_par(1) if (nygrid/=1) & fp(1:npar_loc,iyp)=xyz0_par(2)+fp(1:npar_loc,iyp)*Lxyz_par(2) ! case ('gaussian-x') if (lroot) print*, 'init_particles: Gaussian particle positions' do k=1,npar_loc do while (.true.) if (nygrid/=1) call random_number_wrapper(fp(k,iyp)) if (nzgrid/=1) call random_number_wrapper(fp(k,izp)) call random_number_wrapper(r) call random_number_wrapper(p) fp(k,ixp)= xp0*sqrt(-2*alog(r))*cos(2*pi*p) if ((fp(k,ixp)>=xyz0(1)).and.(fp(k,ixp)<=xyz1(1))) exit enddo enddo if (nygrid/=1) & fp(1:npar_loc,iyp)=xyz0_par(2)+fp(1:npar_loc,iyp)*Lxyz_par(2) if (nzgrid/=1) & fp(1:npar_loc,izp)=xyz0_par(3)+fp(1:npar_loc,izp)*Lxyz_par(3) ! case ('gaussian-z-pure') if (lroot) print*, 'init_particles: Gaussian particle positions' do k=1,npar_loc call random_number_wrapper(r) call random_number_wrapper(p) if (nprocz==2) then if (lfirst_proc_z) fp(k,izp)=-abs(zp0*sqrt(-2*alog(r))*cos(2*pi*p)) if (llast_proc_z) fp(k,izp)=abs(zp0*sqrt(-2*alog(r))*cos(2*pi*p)) else fp(k,izp)= zp0*sqrt(-2*alog(r))*cos(2*pi*p) endif enddo ! case ('gaussian-r') if (lroot) print*, 'init_particles: Gaussian particle positions' do k=1,npar_loc call random_number_wrapper(r) call random_number_wrapper(p) call random_number_wrapper(q) fp(k,ixp)= xp0*sqrt(-2*alog(r))*cos(2*pi*p)*cos(2*pi*q) fp(k,iyp)= yp0*sqrt(-2*alog(r))*cos(2*pi*p)*sin(2*pi*q) enddo ! case ('hole') ! call map_nearest_grid(fp,ineargrid) call map_xxp_grid(f,fp,ineargrid) call sort_particles_imn(fp,ineargrid,ipar) do k=k1_imn(imn_array(m_hole+m1-1,n_hole+n1-1)), & k2_imn(imn_array(m_hole+m1-1,n_hole+n1-1)) if (ineargrid(k,1)==l_hole+l1-1) then print*, k if (nxgrid/=0) fp(k,ixp)=fp(k,ixp)-dx endif enddo ! case ('streaming') call streaming(fp,f) ! case ('streaming_coldstart') call streaming_coldstart(fp,f) ! case ('constant-Ri') call constant_richardson(fp,f) ! case default if (lroot) & print*, 'init_particles: No such such value for initxxp: ', & trim(initxxp(j)) call fatal_error('init_particles','') ! endselect ! enddo ! do j=1,ninit ! ! Interface for user's own initial condition for position ! if (linitial_condition) call initial_condition_xxp(f,fp) ! ! Particles are not allowed to be present in non-existing dimensions. ! This would give huge problems with interpolation later. ! if (nxgrid==1) fp(1:npar_loc,ixp)=x(nghost+1) if (nygrid==1) fp(1:npar_loc,iyp)=y(nghost+1) if (nzgrid==1) fp(1:npar_loc,izp)=z(nghost+1) ! if (init_repeat/=0) call repeated_init(fp,init_repeat) ! ! Redistribute particles among processors (now that positions are determined). ! call boundconds_particles(fp,ipar) ! ! Map particle position on the grid. ! call map_nearest_grid(fp,ineargrid) call map_xxp_grid(f,fp,ineargrid) ! ! Initial particle velocity. ! do j=1,ninit ! select case (initvvp(j)) ! case ('nothing') if (lroot.and.j==1) print*, 'init_particles: No particle velocity set' ! case ('zero') if (lroot) print*, 'init_particles: Zero particle velocity' fp(1:npar_loc,ivpx:ivpz)=0.0 ! case ('zero-shear') if (lroot) print*, 'init_particles: Zero particle velocity' fp(1:npar_loc,ivpy)=-Sshear*fp(1:npar_loc,ixp) fp(1:npar_loc,ivpx)=0.0 fp(1:npar_loc,ivpz)=0.0 ! case ('constant') if (lroot) print*, 'init_particles: Constant particle velocity' if (lroot) & print*, 'init_particles: vpx0, vpy0, vpz0=', vpx0, vpy0, vpz0 if (lcylindrical_coords) then fp(1:npar_loc,ivpx)& =vpx0*cos(fp(k,iyp))+vpy0*sin(fp(k,iyp)) fp(1:npar_loc,ivpy)& =vpy0*cos(fp(k,iyp))-vpx0*sin(fp(k,iyp)) fp(1:npar_loc,ivpz)=vpz0 else fp(1:npar_loc,ivpx)=vpx0 fp(1:npar_loc,ivpy)=vpy0 fp(1:npar_loc,ivpz)=vpz0 endif ! case ('constant-1') if (lroot) & print*, 'init_particles: Particle 1 velocity vx,vy,vz=', & vpx1, vpy1, vpz1 do k=1,npar_loc if (ipar(k)==1) then fp(k,ivpx)=vpx1 fp(k,ivpy)=vpy1 fp(k,ivpz)=vpz1 endif enddo ! case ('constant-2') if (lroot) & print*, 'init_particles: Particle 2 velocity vx,vy,vz=', & vpx2, vpy2, vpz2 do k=1,npar_loc if (ipar(k)==2) then fp(k,ivpx)=vpx2 fp(k,ivpy)=vpy2 fp(k,ivpz)=vpz2 endif enddo ! case ('constant-3') if (lroot) & print*, 'init_particles: Particle 3 velocity vx,vy,vz=', & vpx3, vpy3, vpz3 do k=1,npar_loc if (ipar(k)==3) then fp(k,ivpx)=vpx3 fp(k,ivpy)=vpy3 fp(k,ivpz)=vpz3 endif enddo ! ! Read input data from a file. This should happen on only one processor. ! case ('read_file') if (npar_loc /= 0) then print*, 'init_particles: read file, data_format=',data_format print*, 'init_particles: read file, iproc=',iproc open (1,file='particles_initial.dat') do k=1,npar_loc !read(1,*) fp(k,ixp),fp(k,iyp),fp(k,izp),fp(k,ivpx),fp(k,ivpy),fp(k,ivpz) read(1,data_format) fp(k,ixp),fp(k,iyp),fp(k,izp),fp(k,ivpx),fp(k,ivpy),fp(k,ivpz) enddo close(1) print*,'iproc,fp(:,1)=',iproc,fp(:,1) endif ! ! Starting vectors on the surface of a unit sphere. ! case ('sphere') if (lroot) print*, 'init_particles for vvp: uniform-circle' if (lroot) & print*, 'init_particles: vpx0, vpy0, vpz0=', vpx0, vpy0, vpz0 ntheta=npar_loc !(for now) theta1=sphere_theta1*pi/180. theta2=sphere_theta2*pi/180. if (lleft_down) fact=-1. do k=1,ntheta-1,2 theta=theta1+(theta2-theta1)*real(k-1)/real(ntheta-2) fp(k,ivpx)=fp(k,ivpx)+amplvvp*sin(theta) fp(k,ivpz)=fp(k,ivpz)+amplvvp*cos(theta) fp(k+1,ivpx)=fp(k+1,ivpx)-amplvvp*sin(theta) fp(k+1,ivpz)=fp(k+1,ivpz)-amplvvp*cos(theta)*fact enddo ! ! fill uniform circle (currently 2-D) ! case ('uniform-circle') if (lroot) print*, 'init_particles for vvp: uniform-circle' if (lroot) & print*, 'init_particles: vpx0, vpy0, vpz0=', vpx0, vpy0, vpz0 do k=1,npar_loc phi=2*pi*real(k)/real(npar_loc) fp(k,ivpx)=fp(k,ivpx)+amplvvp*cos(phi) fp(k,ivpz)=fp(k,ivpz)+amplvvp*sin(phi) enddo ! case ('sinwave-phase') if (lroot) print*, 'init_particles: sinwave-phase' if (lroot) & print*, 'init_particles: vpx0, vpy0, vpz0=', vpx0, vpy0, vpz0 do k=1,npar_loc fp(k,ivpx)=fp(k,ivpx)+vpx0*sin(kx_vpx*fp(k,ixp)+ky_vpx*fp(k,iyp)+kz_vpx*fp(k,izp)+phase_vpx) fp(k,ivpy)=fp(k,ivpy)+vpy0*sin(kx_vpy*fp(k,ixp)+ky_vpy*fp(k,iyp)+kz_vpy*fp(k,izp)+phase_vpy) fp(k,ivpz)=fp(k,ivpz)+vpz0*sin(kx_vpz*fp(k,ixp)+ky_vpz*fp(k,iyp)+kz_vpz*fp(k,izp)+phase_vpz) enddo ! case ('coswave-phase') if (lroot) print*, 'init_particles: coswave-phase' if (lroot) & print*, 'init_particles: vpx0, vpy0, vpz0=', vpx0, vpy0, vpz0 do k=1,npar_loc fp(k,ivpx)=fp(k,ivpx)+vpx0*cos(kx_vpx*fp(k,ixp)+ky_vpx*fp(k,iyp)+kz_vpx*fp(k,izp)+phase_vpx) fp(k,ivpy)=fp(k,ivpy)+vpy0*cos(kx_vpy*fp(k,ixp)+ky_vpy*fp(k,iyp)+kz_vpy*fp(k,izp)+phase_vpy) fp(k,ivpz)=fp(k,ivpz)+vpz0*cos(kx_vpz*fp(k,ixp)+ky_vpz*fp(k,iyp)+kz_vpz*fp(k,izp)+phase_vpz) enddo ! case ('random') if (lroot) print*, 'init_particles: Random particle velocities; '// & 'delta_vp0=', delta_vp0 do k=1,npar_loc call random_number_wrapper(r) fp(k,ivpx) = fp(k,ivpx) + delta_vp0*(2*r-1) call random_number_wrapper(r) fp(k,ivpy) = fp(k,ivpy) + delta_vp0*(2*r-1) call random_number_wrapper(r) fp(k,ivpz) = fp(k,ivpz) + delta_vp0*(2*r-1) enddo ! case ('random-x') if (lroot) print*, 'init_particles: Random particle x-velocity; '// & 'delta_vp0=', delta_vp0 do k=1,npar_loc call random_number_wrapper(r) fp(k,ivpx) = fp(k,ivpx) + delta_vp0*(2*r-1) enddo ! case ('random-y') if (lroot) print*, 'init_particles: Random particle y-velocity; '// & 'delta_vp0=', delta_vp0 do k=1,npar_loc call random_number_wrapper(r) fp(k,ivpy) = fp(k,ivpy) + delta_vp0*(2*r-1) enddo ! case ('random-z') if (lroot) print*, 'init_particles: Random particle z-velocity; '// & 'delta_vp0=', delta_vp0 do k=1,npar_loc call random_number_wrapper(r) fp(k,ivpz) = fp(k,ivpz) + delta_vp0*(2*r-1) enddo ! case ('average-to-zero') call mpireduce_sum(sum(fp(1:npar_loc,ivpx)),vpx_sum) call mpireduce_sum(sum(fp(1:npar_loc,ivpy)),vpy_sum) call mpireduce_sum(sum(fp(1:npar_loc,ivpz)),vpz_sum) call mpibcast_real(vpx_sum) call mpibcast_real(vpy_sum) call mpibcast_real(vpz_sum) fp(1:npar_loc,ivpx)=fp(1:npar_loc,ivpx)-vpx_sum/npar fp(1:npar_loc,ivpy)=fp(1:npar_loc,ivpy)-vpy_sum/npar fp(1:npar_loc,ivpz)=fp(1:npar_loc,ivpz)-vpz_sum/npar ! case ('follow-gas') if (lroot) & print*, 'init_particles: Particle velocity equal to gas velocity' do k=1,npar_loc call interpolate_linear(f,iux,iuz,fp(k,ixp:izp),uup, & ineargrid(k,:),0,0) fp(k,ivpx:ivpz) = uup enddo ! case ('jeans-wave-dustpar-x') ! assumes rhs_poisson_const=1 ! do k=1,npar_loc fp(k,ivpx) = fp(k,ivpx) - amplxxp* & (sqrt(1+4*1.0*1.0*tausp**2)-1)/ & (2*kx_xxp*1.0*tausp)*sin(kx_xxp*(fp(k,ixp))) enddo ! case ('dragforce_equilibrium','dragforce-equilibrium') ! ! Equilibrium between drag forces on dust and gas and other forces ! (from Nakagawa, Sekiya, & Hayashi 1986). ! if (lroot) then print*, 'init_particles: drag equilibrium' print*, 'init_particles: beta_glnrho_global=', beta_glnrho_global endif cs=sqrt(cs20) ! Calculate average dust-to-gas ratio in box. if (ldensity_nolog) then eps = sum(f(l1:l2,m1:m2,n1:n2,irhop))/ & sum(f(l1:l2,m1:m2,n1:n2,irho)) else eps = sum(f(l1:l2,m1:m2,n1:n2,irhop))/ & sum(exp(f(l1:l2,m1:m2,n1:n2,ilnrho))) endif if (ldragforce_equi_noback) eps=0.0 ! if (lroot) print*, 'init_particles: average dust-to-gas ratio=', eps ! Set gas velocity field. if (lhydro) then do l=l1,l2; do m=m1,m2; do n=n1,n2 ! Take either global or local dust-to-gas ratio. if (.not. ldragforce_equi_global_eps) eps = f(l,m,n,irhop) / get_gas_density(f,l,m,n) ! f(l,m,n,iux) = f(l,m,n,iux) - & beta_glnrho_global(1)*eps*Omega*tausp/ & ((1.0+eps)**2+(Omega*tausp)**2)*cs f(l,m,n,iuy) = f(l,m,n,iuy) + & beta_glnrho_global(1)*(1+eps+(Omega*tausp)**2)/ & (2*((1.0+eps)**2+(Omega*tausp)**2))*cs ! enddo; enddo; enddo endif ! Set particle velocity field. do k=1,npar_loc ! Take either global or local dust-to-gas ratio. if (ldragforce_equi_noback) then eps=0.0 else if (.not. ldragforce_equi_global_eps) then ix0=ineargrid(k,1); iy0=ineargrid(k,2); iz0=ineargrid(k,3) eps = f(ix0,iy0,iz0,irhop) / get_gas_density(f,ix0,iy0,iz0) endif endif ! fp(k,ivpx) = fp(k,ivpx) + & beta_glnrho_global(1)*Omega*tausp/ & ((1.0+eps)**2+(Omega*tausp)**2)*cs fp(k,ivpy) = fp(k,ivpy) + & beta_glnrho_global(1)*(1+eps)/ & (2*((1.0+eps)**2+(Omega*tausp)**2))*cs ! enddo ! case ('dragforce_equi_nohydro') ! do k=1,npar_loc fp(k,ivpx) = fp(k,ivpx) - 2*Deltauy_gas_friction* & 1/(1.0/(Omega*tausp)+Omega*tausp) fp(k,ivpy) = fp(k,ivpy) - Deltauy_gas_friction* & 1/(1.0+(Omega*tausp)**2) enddo ! case ('dragforce_equi_dust') ! ! Equilibrium between drag force and Coriolis force on the dust. ! if (lroot) then print*, 'init_particles: drag equilibrium dust' print*, 'init_particles: beta_dPdr_dust=', beta_dPdr_dust endif ! Set particle velocity field. cs=sqrt(cs20) do k=1,npar_loc fp(k,ivpx) = fp(k,ivpx) + & 1/(Omega*tausp+1/(Omega*tausp))*beta_dPdr_dust*cs fp(k,ivpy) = fp(k,ivpy) - & 1/(1.0+1/(Omega*tausp)**2)*beta_dPdr_dust/2*cs enddo ! case ('Keplerian','keplerian') ! ! Keplerian velocity based on gravr. ! if (lroot) then print*, 'init_particles: Keplerian velocity' if (lspherical_coords) call fatal_error('init_particles', & 'Keplerian particle initial condition: '// & 'not implemented for spherical coordinates') if (lshear) call fatal_error("init_particles",& "Keplerian initial condition is for global disks, not shearing boxes") endif do k=1,npar_loc if (lcartesian_coords) then rad=sqrt(fp(k,ixp)**2+fp(k,iyp)**2+fp(k,izp)**2) OO=sqrt(gravr)*rad**(-1.5) fp(k,ivpx) = -OO*fp(k,iyp) fp(k,ivpy) = OO*fp(k,ixp) fp(k,ivpz) = 0.0 elseif (lcylindrical_coords) then rad=fp(k,ixp) OO=sqrt(gravr)*rad**(-1.5) fp(k,ivpx) = 0.0 fp(k,ivpy) = OO*rad fp(k,ivpz) = 0.0 endif enddo ! ! Explosion. ! case ('explosion') do k=1,npar_loc rad=sqrt(fp(k,ixp)**2+fp(k,iyp)**2+fp(k,izp)**2) fp(k,ivpx) = delta_vp0*fp(k,ixp)/rp_ext fp(k,ivpy) = delta_vp0*fp(k,iyp)/rp_ext fp(k,ivpz) = delta_vp0*fp(k,izp)/rp_ext enddo ! ! case default if (lroot) & print*, 'init_particles: No such such value for initvvp: ', & trim(initvvp(j)) call fatal_error('','') ! endselect ! enddo ! do j=1,ninit ! ! Interface for user's own initial condition ! if (linitial_condition) call initial_condition_vvp(f,fp) ! ! Map particle velocity on the grid. ! call map_vvp_grid(f,fp,ineargrid) ! ! Sort particles (must happen at the end of the subroutine so that random ! positions and velocities are not displaced relative to when there is no ! sorting). ! call sort_particles_imn(fp,ineargrid,ipar) ! endsubroutine init_particles !*********************************************************************** subroutine insert_lost_particles(f,fp,ineargrid) ! ! 14-oct-12/dhruba: dummy ! real, dimension (mx,my,mz,mfarray) :: f real, dimension (mpar_loc,mparray) :: fp integer, dimension (mpar_loc,3) :: ineargrid ! intent (inout) :: fp,ineargrid ! call keep_compiler_quiet(f) call keep_compiler_quiet(fp) call keep_compiler_quiet(ineargrid) ! endsubroutine insert_lost_particles !*********************************************************************** subroutine insert_particles(f,fp,ineargrid) ! ! Insert particles continuously (when linsert_particles_continuously == T), ! i.e. in each timestep. If number of particles to be inserted are less ! than unity, accumulate number over several timesteps until the integer value ! is larger than one. Keep the remainder and accumulate this to the next insert. ! ! Works only for particles_dust - add neccessary variable ! declarations in particles_tracers to make it work here. ! use General, only: random_number_wrapper use Particles_diagnos_state, only: insert_particles_diagnos_state ! real, dimension (mx,my,mz,mfarray) :: f real, dimension (mpar_loc,mparray) :: fp integer, dimension (mpar_loc,3) :: ineargrid logical :: linsertmore=.true. real :: xx0, yy0,r2 ! integer :: j, k, n_insert, npar_loc_old, iii ! intent (inout) :: fp,ineargrid ! ! Stop call to this routine when maximum number of particles is reached! ! Since root inserts all new particles, make sure ! npar_total + n_insert < mpar ! so that a processor can not exceed its maximum number of particles. ! if (lroot) then avg_n_insert=particles_insert_rate*dt n_insert=int(avg_n_insert + remaining_particles) ! Remaining particles saved for subsequent timestep: remaining_particles=avg_n_insert + remaining_particles - n_insert if ((n_insert+npar_total <= mpar_loc) & .and. (t0.0001 ) ! xprob = r fprob = zprob + amplxxp/kz*cos(kx*xprob)*sin(kz*zprob) - p dfprob= 1.0 + amplxxp*cos(kx*xprob)*cos(kz*zprob) dzprob= -fprob/dfprob zprob = zprob+0.2*dzprob ! j=j+1 ! enddo ! if ( mod(k,npar_loc/100)==0) then print '(i7,i3,4f11.7)', k, j, r, p, xprob, zprob endif ! fp(k,ixp)=xprob*Lxyz(1)+xyz0(1) fp(k,izp)=zprob*Lxyz(3)+xyz0(3) ! Set particle velocity. fp(k,ivpx) = fp(k,ivpx) + eta_glnrho*v_Kepler*amplxxp* & ( real(coeff(1))*cos(kx_xxp*fp(k,ixp)) - & aimag(coeff(1))*sin(kx_xxp*fp(k,ixp)))*cos(kz_xxp*fp(k,izp)) fp(k,ivpy) = fp(k,ivpy) + eta_glnrho*v_Kepler*amplxxp* & ( real(coeff(2))*cos(kx_xxp*fp(k,ixp)) - & aimag(coeff(2))*sin(kx_xxp*fp(k,ixp)))*cos(kz_xxp*fp(k,izp)) fp(k,ivpz) = fp(k,ivpz) + eta_glnrho*v_Kepler*(-amplxxp)* & (aimag(coeff(3))*cos(kx_xxp*fp(k,ixp)) + & real(coeff(3))*sin(kx_xxp*fp(k,ixp)))*sin(kz_xxp*fp(k,izp)) ! enddo ! ! Particles were placed randomly in the entire simulation space, so they need ! to be send to the correct processors now. ! if (lmpicomm) then lmigration_redo_org=lmigration_redo lmigration_redo=.true. call migrate_particles(fp,ipar) lmigration_redo=lmigration_redo_org endif ! ! Set fluid fields. ! do m=m1,m2; do n=n1,n2 f(l1:l2,m,n,ilnrho) = f(l1:l2,m,n,ilnrho) + & (eta_glnrho*v_Kepler)**2*amplxxp* & ( real(coeff(7))*cos(kx_xxp*x(l1:l2)) - & aimag(coeff(7))*sin(kx_xxp*x(l1:l2)))*cos(kz_xxp*z(n)) ! f(l1:l2,m,n,iux) = f(l1:l2,m,n,iux) + & eta_glnrho*v_Kepler*amplxxp* & ( real(coeff(4))*cos(kx_xxp*x(l1:l2)) - & aimag(coeff(4))*sin(kx_xxp*x(l1:l2)))*cos(kz_xxp*z(n)) ! f(l1:l2,m,n,iuy) = f(l1:l2,m,n,iuy) + & eta_glnrho*v_Kepler*amplxxp* & ( real(coeff(5))*cos(kx_xxp*x(l1:l2)) - & aimag(coeff(5))*sin(kx_xxp*x(l1:l2)))*cos(kz_xxp*z(n)) ! f(l1:l2,m,n,iuz) = f(l1:l2,m,n,iuz) + & eta_glnrho*v_Kepler*(-amplxxp)* & (aimag(coeff(6))*cos(kx_xxp*x(l1:l2)) + & real(coeff(6))*sin(kx_xxp*x(l1:l2)))*sin(kz_xxp*z(n)) enddo; enddo ! endsubroutine streaming !*********************************************************************** subroutine constant_richardson(fp,f) ! ! Setup dust density with a constant Richardson number (Sekiya, 1998). ! eps=1/sqrt(z^2/Hd^2+1/(1+eps1)^2)-1 ! ! 14-sep-05/anders: coded ! use Density, only: beta_glnrho_scaled use EquationOfState, only: gamma, cs20 use General, only: random_number_wrapper ! real, dimension (mpar_loc,mparray) :: fp real, dimension (mx,my,mz,mfarray) :: f ! integer, parameter :: nz_inc=10 real, dimension (nz_inc*nz) :: z_dense, eps real :: r, Hg, Hd, frac, rho1, Sigmad, Sigmad_num, Xi, fXi, dfdXi real :: dz_dense, eps_point, z00_dense, rho, lnrho integer :: nz_dense=nz_inc*nz, npar_bin integer :: i, i0, k ! ! Calculate dust "scale height". ! rho1=1.0 Hg=1.0 Sigmad=eps_dtog*rho1*Hg*sqrt(2*pi) Hd = sqrt(Ri0)*abs(beta_glnrho_scaled(1))/2*1.0 ! ! Need to find eps1 that results in given dust column density. ! Xi = sqrt(eps1*(2+eps1))/(1+eps1) fXi=-2*Xi + alog((1+Xi)/(1-Xi))-Sigmad/(Hd*rho1) i=0 ! ! Newton-Raphson on equation Sigmad/(Hd*rho1)=-2*Xi + alog((1+Xi)/(1-Xi)). ! Here Xi = sqrt(eps1*(2+eps1))/(1+eps1). ! do while (abs(fXi)>=0.00001) ! dfdXi=2*Xi**2/(1-Xi**2) Xi=Xi-0.1*fXi/dfdXi ! fXi=-2*Xi + alog((1+Xi)/(1-Xi))-Sigmad/(Hd*rho1) ! i=i+1 if (i>=1000) stop ! enddo ! ! Calculate eps1 from Xi. ! eps1=-1+1/sqrt(-(Xi**2)+1) if (lroot) print*, 'constant_richardson: Hd, eps1=', Hd, eps1 ! ! Make z denser for higher resolution in density. ! dz_dense=Lxyz_loc(3)/nz_dense z00_dense=xyz0_loc(3)+0.5*dz_dense do n=1,nz_dense z_dense(n)=z00_dense+(n-1)*dz_dense enddo ! ! Dust-to-gas ratio as a function of z (with cutoff). ! eps=1/sqrt(z_dense**2/Hd**2+1/(1+eps1)**2)-1 where (eps<=0.0) eps=0.0 ! ! Calculate the dust column density numerically. ! Sigmad_num=sum(rho1*eps*dz_dense) if (lroot) print*, 'constant_richardson: Sigmad, Sigmad (numerical) = ', & Sigmad, Sigmad_num ! ! Place particles according to probability function. ! i0=0 do n=1,nz_dense frac=eps(n)/Sigmad_num*dz_dense npar_bin=int(frac*npar_loc) if (npar_bin>=2.and.mod(n,2)==0) npar_bin=npar_bin+1 do i=i0+1,i0+npar_bin if (i<=npar_loc) then call random_number_wrapper(r) fp(i,izp)=z_dense(n)+(2*r-1.0)*dz_dense/2 endif enddo i0=i0+npar_bin enddo if (lroot) print '(A,i7,A)', 'constant_richardson: placed ', & i0, ' particles according to Ri=const' ! ! Particles left out by round off are just placed randomly. ! if (i0+1<=npar_loc) then do k=i0+1,npar_loc call random_number_wrapper(fp(k,izp)) fp(k,izp)=xyz0(3)+fp(k,izp)*Lxyz(3) enddo if (lroot) print '(A,i7,A)', 'constant_richardson: placed ', & npar_loc-i0, ' particles randomly.' endif ! ! Random positions in x and y. ! do k=1,npar_loc if (nxgrid/=1) call random_number_wrapper(fp(k,ixp)) if (nygrid/=1) call random_number_wrapper(fp(k,iyp)) enddo if (nxgrid/=1) & fp(1:npar_loc,ixp)=xyz0_loc(1)+fp(1:npar_loc,ixp)*Lxyz_loc(1) if (nygrid/=1) & fp(1:npar_loc,iyp)=xyz0_loc(2)+fp(1:npar_loc,iyp)*Lxyz_loc(2) ! ! Set gas velocity according to dust-to-gas ratio and global pressure gradient. ! do imn=1,ny*nz ! n=nn(imn); m=mm(imn) ! if (abs(z(n))<=Hd*sqrt(1-1/(1+eps1)**2)) then lnrho = -sqrt(z(n)**2/Hd**2+1/(1+eps1)**2)* & gamma*Omega**2*Hd**2/cs20 + gamma*Omega**2*Hd**2/(cs20*(1+eps1)) else lnrho = -0.5*gamma*Omega**2/cs20*z(n)**2 + & gamma*Omega**2*Hd**2/cs20*(1/(1+eps1)-1/(2*(1+eps1)**2) - 0.5) endif ! ! Isothermal stratification. ! if (lentropy) f(l1:l2,m,n,iss) = (1/gamma-1.0)*lnrho ! rho=exp(lnrho) ! if (ldensity_nolog) then f(l1:l2,m,n,irho) =rho else f(l1:l2,m,n,ilnrho)=lnrho endif ! eps_point=1/sqrt(z(n)**2/Hd**2+1/(1+eps1)**2)-1 if (eps_point<=0.0) eps_point=0.0 ! f(l1:l2,m,n,iux) = f(l1:l2,m,n,iux) - & cs20*beta_glnrho_scaled(1)*eps_point*tausp/ & (1.0+2*eps_point+eps_point**2+(Omega*tausp)**2) f(l1:l2,m,n,iuy) = f(l1:l2,m,n,iuy) + & cs20*beta_glnrho_scaled(1)*(1+eps_point+(Omega*tausp)**2)/ & (2*Omega*(1.0+2*eps_point+eps_point**2+(Omega*tausp)**2)) f(l1:l2,m,n,iuz) = f(l1:l2,m,n,iuz) + 0.0 enddo ! ! Set particle velocity. ! do k=1,npar_loc ! eps_point=1/sqrt(fp(k,izp)**2/Hd**2+1/(1+eps1)**2)-1 if (eps_point<=0.0) eps_point=0.0 ! fp(k,ivpx) = fp(k,ivpx) + & cs20*beta_glnrho_scaled(1)*tausp/ & (1.0+2*eps_point+eps_point**2+(Omega*tausp)**2) fp(k,ivpy) = fp(k,ivpy) + & cs20*beta_glnrho_scaled(1)*(1+eps_point)/ & (2*Omega*(1.0+2*eps_point+eps_point**2+(Omega*tausp)**2)) fp(k,ivpz) = fp(k,ivpz) - tausp*Omega**2*fp(k,izp) ! enddo ! endsubroutine constant_richardson !*********************************************************************** subroutine particles_dragforce_stiff(f,fp,ineargrid) ! ! Force stiff drag force equations towards their equilibrium. ! ! 10-june-11/anders: coded ! use Boundcond use Mpicomm ! real, dimension (mx,my,mz,mfarray) :: f real, dimension (mpar_loc,mparray) :: fp integer, dimension (mpar_loc,3) :: ineargrid ! real, dimension (nx) :: eps real, dimension (3) :: vvp integer :: imn, i, k, ix0, iy0, iz0 ! if (ldragforce_stiff .and. .not. lpencil_check_at_work) then do imn=1,ny*nz n=nn(imn) m=mm(imn) eps=f(l1:l2,m,n,irhop)/f(l1:l2,m,n,irho) do i=0,2 f(l1:l2,m,n,iux+i)=(f(l1:l2,m,n,iux+i)+eps*f(l1:l2,m,n,iupx+i) + & eps/(1.0+eps)*tausp*f(l1:l2,m,n,ifgx+i))/(1.0+eps) enddo f(l1:l2,m,n,ifgx:ifgz)=f(l1:l2,m,n,iux:iuz)-f(l1:l2,m,n,ifgx:ifgz) enddo call boundconds_x(f,ifgx,ifgz) call initiate_isendrcv_bdry(f,ifgx,ifgz) call finalize_isendrcv_bdry(f,ifgx,ifgz) call boundconds_y(f,ifgx,ifgz) call boundconds_z(f,ifgx,ifgz) do k=1,npar_loc ix0=ineargrid(k,1); iy0=ineargrid(k,2); iz0=ineargrid(k,3) if (lparticlemesh_cic) then call interpolate_linear(f,ifgx,ifgz, & fp(k,ixp:izp),vvp,ineargrid(k,:),0,ipar(k)) elseif (lparticlemesh_tsc) then if (linterpolate_spline) then call interpolate_quadratic_spline(f,ifgx,ifgz, & fp(k,ixp:izp),vvp,ineargrid(k,:),0,ipar(k)) else call interpolate_quadratic(f,ifgx,ifgz, & fp(k,ixp:izp),vvp,ineargrid(k,:),0,ipar(k)) endif else vvp=f(ix0,iy0,iz0,ifgx:ifgz) endif fp(k,ivpx:ivpz)=vvp enddo endif ! endsubroutine particles_dragforce_stiff !*********************************************************************** subroutine pencil_criteria_particles() ! ! All pencils that the Particles module depends on are specified here. ! ! 20-04-06/anders: coded ! if (ldragforce_gas_par) then lpenc_requested(i_epsp)=.true. lpenc_requested(i_np)=.true. endif if (ldragforce_heat .or. lcollisional_heat) then lpenc_requested(i_TT1)=.true. lpenc_requested(i_rho1)=.true. endif if (lcollisional_cooling_taucool) then lpenc_requested(i_np)=.true. endif if (lcollisional_cooling_rms) then lpenc_requested(i_epsp)=.true. endif if (lcollisional_cooling_rms .or. lcollisional_dragforce_cooling) then lpenc_requested(i_np)=.true. lpenc_requested(i_rho1)=.true. endif if (ldraglaw_epstein_transonic .or.& ldraglaw_eps_stk_transonic) then lpenc_requested(i_uu)=.true. lpenc_requested(i_rho)=.true. lpenc_requested(i_cs2)=.true. endif if (ldragforce_stiff) then lpenc_requested(i_fpres)=.true. lpenc_requested(i_jxbr)=.true. lpenc_requested(i_fvisc)=.true. endif ! if (idiag_npm/=0 .or. idiag_np2m/=0 .or. idiag_npmax/=0 .or. & idiag_npmin/=0 .or. idiag_npmx/=0 .or. idiag_npmy/=0 .or. & idiag_npmz/=0 .or. idiag_nparpmax/=0) lpenc_diagnos(i_np)=.true. if (idiag_rhopm/=0 .or. idiag_rhoprms/=0 .or. idiag_rhop2m/=0 .or. & idiag_rhopmax/=0 .or. idiag_rhopmin/=0 .or. idiag_rhopmphi/=0 .or. & idiag_rhopmx/=0 .or. idiag_rhopmy/=0 .or. idiag_rhopmz/=0) & lpenc_diagnos(i_rhop)=.true. if (idiag_dedragp/=0 .or. idiag_decollp/=0) then lpenc_diagnos(i_TT1)=.true. lpenc_diagnos(i_rho1)=.true. endif if (idiag_epspmx/=0 .or. idiag_epspmy/=0 .or. idiag_epspmz/=0 .or. & idiag_epspmin/=0 .or. idiag_epspmax/=0) & lpenc_diagnos(i_epsp)=.true. if (idiag_rhopmxy/=0 .or. idiag_rhopmxz/=0 .or. idiag_rhopmphi/=0) & lpenc_diagnos2d(i_rhop)=.true. if (idiag_npmxy/=0 ) lpenc_diagnos2d(i_np)=.true. ! endsubroutine pencil_criteria_particles !*********************************************************************** subroutine pencil_interdep_particles(lpencil_in) ! ! Interdependency among pencils provided by the Particles module ! is specified here. ! ! 16-feb-06/anders: dummy ! logical, dimension(npencils) :: lpencil_in ! if (lpencil_in(i_rhop) .and. irhop==0) then lpencil_in(i_np)=.true. endif ! if (lpencil_in(i_epsp)) then lpencil_in(i_rhop)=.true. lpencil_in(i_rho1)=.true. endif ! endsubroutine pencil_interdep_particles !*********************************************************************** subroutine calc_pencils_particles(f,p) ! use Sub, only: grad ! ! Calculate Particles pencils. ! Most basic pencils should come first, as others may depend on them. ! ! 16-feb-06/anders: coded ! real, dimension (mx,my,mz,mfarray) :: f type (pencil_case) :: p ! if (lpencil(i_np)) then if (inp/=0) then p%np=f(l1:l2,m,n,inp) else p%np=0.0 endif endif ! if (lpencil(i_rhop)) then if (irhop/=0) then p%rhop=f(l1:l2,m,n,irhop) else p%rhop=rhop_swarm*f(l1:l2,m,n,inp) endif endif ! if (lpencil(i_grhop)) then if (irhop/=0) then if ((nprocx/=1).and.(.not.lcommunicate_rhop)) & call fatal_error("calc_pencils_particles",& "Switch on lcommunicate_rhop=T in particles_run_pars") call grad(f,irhop,p%grhop) else if ((nprocx/=1).and.(.not.lcommunicate_np)) & call fatal_error("calc_pencils_particles",& "Switch on lcommunicate_np=T in particles_run_pars") call grad(f,inp,p%grhop) p%grhop=rhop_swarm*p%grhop endif endif ! if (lpencil(i_epsp)) p%epsp=p%rhop*p%rho1 ! endsubroutine calc_pencils_particles !*********************************************************************** subroutine dxxp_dt(f,df,fp,dfp,ineargrid) ! ! Eikonal solver, "particles" now refer to points on the trajectory. ! ! 02-jan-05/anders: coded ! use General, only: random_number_wrapper, random_seed_wrapper ! real, dimension (mx,my,mz,mfarray) :: f real, dimension (mx,my,mz,mvar) :: df real, dimension (mpar_loc,mparray) :: fp real, dimension (mpar_loc,mpvar) :: dfp integer, dimension (mpar_loc,3) :: ineargrid ! logical :: lheader, lfirstcall=.true. ! intent (in) :: f, fp, ineargrid intent (inout) :: df, dfp ! ! Print out header information in first time step. ! lheader=lfirstcall .and. lroot ! ! Identify module and boundary conditions. ! if (lheader) print*,'dxxp_dt: Calculate dxxp_dt' if (lheader) then print*, 'dxxp_dt: Particles boundary condition bcpx=', bcpx print*, 'dxxp_dt: Particles boundary condition bcpy=', bcpy print*, 'dxxp_dt: Particles boundary condition bcpz=', bcpz endif ! if (lheader) print*, 'dxxp_dt: Set rate of change of particle '// & 'position equal to particle velocity.' ! ! With shear there is an extra term due to the background shear flow. ! if (lshear.and.nygrid/=1) dfp(1:npar_loc,iyp) = & dfp(1:npar_loc,iyp) - qshear*Omega*fp(1:npar_loc,ixp) ! if (lfirstcall) lfirstcall=.false. ! call keep_compiler_quiet(f) call keep_compiler_quiet(df) call keep_compiler_quiet(ineargrid) ! endsubroutine dxxp_dt !*********************************************************************** subroutine dvvp_dt(f,df,fp,dfp,ineargrid) ! ! Evolution of dust particle velocity. ! ! 29-dec-04/anders: coded ! use Diagnostics use EquationOfState, only: cs20 ! real, dimension (mx,my,mz,mfarray) :: f real, dimension (mx,my,mz,mvar) :: df real, dimension (mpar_loc,mparray) :: fp real, dimension (mpar_loc,mpvar) :: dfp integer, dimension (mpar_loc,3) :: ineargrid ! real :: Omega2 integer :: npar_found logical :: lheader, lfirstcall=.true. ! intent (in) :: f, fp, ineargrid intent (inout) :: df, dfp ! ! Print out header information in first time step. ! lheader=lfirstcall .and. lroot if (lheader) then print*,'dvvp_dt: Calculate dvvp_dt' endif ! ! Add Coriolis force from rotating coordinate frame. ! if (Omega/=0.) then if (lcoriolis_force_par) then if (lheader) print*,'dvvp_dt: Add Coriolis force; Omega=', Omega Omega2=2*Omega if (.not.lspherical_coords) then dfp(1:npar_loc,ivpx) = dfp(1:npar_loc,ivpx) + & Omega2*fp(1:npar_loc,ivpy) dfp(1:npar_loc,ivpy) = dfp(1:npar_loc,ivpy) - & Omega2*fp(1:npar_loc,ivpx) else print*,'dvvp_dt: Coriolis force on the particles is ' print*,'not yet implemented for spherical coordinates.' call fatal_error('dvvp_dt','') endif endif ! ! Add centrifugal force. ! if (lcentrifugal_force_par) then if (lheader) print*,'dvvp_dt: Add Centrifugal force; Omega=', Omega if (lcartesian_coords) then ! dfp(1:npar_loc,ivpx) = dfp(1:npar_loc,ivpx) + & Omega**2*fp(1:npar_loc,ixp) ! dfp(1:npar_loc,ivpy) = dfp(1:npar_loc,ivpy) + & Omega**2*fp(1:npar_loc,iyp) ! elseif (lcylindrical_coords) then dfp(1:npar_loc,ivpx) = & dfp(1:npar_loc,ivpx) + Omega**2*fp(1:npar_loc,ixp) else print*,'dvvp_dt: Centrifugal force on the particles is ' print*,'not implemented for spherical coordinates.' call fatal_error('dvvp_dt','') endif endif ! ! With shear there is an extra term due to the background shear flow. ! if (lshear) dfp(1:npar_loc,ivpy) = & dfp(1:npar_loc,ivpy) + qshear*Omega*fp(1:npar_loc,ivpx) endif ! ! Add constant background pressure gradient beta=alpha*H0/r0, where alpha ! comes from a global pressure gradient P = P0*(r/r0)^alpha. ! (the term must be added to the dust equation of motion when measuring ! velocities relative to the shear flow modified by the global pressure grad.) ! if (beta_dPdr_dust/=0.0 .and. t>=tstart_dragforce_par) then dfp(1:npar_loc,ivpx) = dfp(1:npar_loc,ivpx) + cs20*beta_dPdr_dust_scaled endif ! ! Diagnostic output ! if (ldiagnos) then if (idiag_nparmin/=0) call max_name(-npar_loc,idiag_nparmin,lneg=.true.) if (idiag_nparmax/=0) call max_name(+npar_loc,idiag_nparmax) if (idiag_nparpmax/=0) call max_name(maxval(npar_imn),idiag_nparpmax) if (idiag_xpm/=0) call sum_par_name(fp(1:npar_loc,ixp),idiag_xpm) if (idiag_ypm/=0) call sum_par_name(fp(1:npar_loc,iyp),idiag_ypm) if (idiag_zpm/=0) call sum_par_name(fp(1:npar_loc,izp),idiag_zpm) if (idiag_xp2m/=0) call sum_par_name(fp(1:npar_loc,ixp)**2,idiag_xp2m) if (idiag_yp2m/=0) call sum_par_name(fp(1:npar_loc,iyp)**2,idiag_yp2m) if (idiag_zp2m/=0) call sum_par_name(fp(1:npar_loc,izp)**2,idiag_zp2m) if (idiag_rpm/=0) call sum_par_name(sqrt(fp(1:npar_loc,ixp)**2+ & fp(1:npar_loc,iyp)**2+fp(1:npar_loc,izp)**2),idiag_rpm) if (idiag_rp2m/=0) call sum_par_name(fp(1:npar_loc,ixp)**2+ & fp(1:npar_loc,iyp)**2+fp(1:npar_loc,izp)**2,idiag_rp2m) if (idiag_vpxm/=0) call sum_par_name(fp(1:npar_loc,ivpx),idiag_vpxm) if (idiag_vpym/=0) call sum_par_name(fp(1:npar_loc,ivpy),idiag_vpym) if (idiag_vpzm/=0) call sum_par_name(fp(1:npar_loc,ivpz),idiag_vpzm) if (idiag_vpxvpym/=0) call sum_par_name( & fp(1:npar_loc,ivpx)*fp(1:npar_loc,ivpy),idiag_vpxvpym) if (idiag_vpxvpzm/=0) call sum_par_name( & fp(1:npar_loc,ivpx)*fp(1:npar_loc,ivpz),idiag_vpxvpzm) if (idiag_vpyvpzm/=0) call sum_par_name( & fp(1:npar_loc,ivpy)*fp(1:npar_loc,ivpz),idiag_vpyvpzm) if (idiag_lpxm/=0) call sum_par_name( & fp(1:npar_loc,iyp)*fp(1:npar_loc,ivpz)- & fp(1:npar_loc,izp)*fp(1:npar_loc,ivpy),idiag_lpxm) if (idiag_lpym/=0) call sum_par_name( & fp(1:npar_loc,izp)*fp(1:npar_loc,ivpx)- & fp(1:npar_loc,ixp)*fp(1:npar_loc,ivpz),idiag_lpym) if (idiag_lpzm/=0) call sum_par_name( & fp(1:npar_loc,ixp)*fp(1:npar_loc,ivpy)- & fp(1:npar_loc,iyp)*fp(1:npar_loc,ivpx),idiag_lpzm) if (idiag_lpx2m/=0) call sum_par_name( & (fp(1:npar_loc,iyp)*fp(1:npar_loc,ivpz)- & fp(1:npar_loc,izp)*fp(1:npar_loc,ivpy))**2,idiag_lpx2m) if (idiag_lpy2m/=0) call sum_par_name( & (fp(1:npar_loc,izp)*fp(1:npar_loc,ivpx)- & fp(1:npar_loc,ixp)*fp(1:npar_loc,ivpz))**2,idiag_lpy2m) if (idiag_lpz2m/=0) call sum_par_name( & (fp(1:npar_loc,ixp)*fp(1:npar_loc,ivpy)- & fp(1:npar_loc,iyp)*fp(1:npar_loc,ivpx))**2,idiag_lpz2m) if (idiag_vpx2m/=0) & call sum_par_name(fp(1:npar_loc,ivpx)**2,idiag_vpx2m) if (idiag_vpy2m/=0) & call sum_par_name(fp(1:npar_loc,ivpy)**2,idiag_vpy2m) if (idiag_vpz2m/=0) & call sum_par_name(fp(1:npar_loc,ivpz)**2,idiag_vpz2m) if (idiag_vprms/=0) & call sum_par_name((fp(1:npar_loc,ivpx)**2 & +fp(1:npar_loc,ivpy)**2 & +fp(1:npar_loc,ivpz)**2),idiag_vprms,lsqrt=.true.) if (idiag_vpyfull2m/=0) & call sum_par_name((fp(1:npar_loc,ivpy)- & qshear*Omega*fp(1:npar_loc,ixp))**2,idiag_vpyfull2m) if (idiag_ekinp/=0) then if (lparticles_density) then call sum_par_name(0.5*fp(1:npar_loc,irhopswarm)* & sum(fp(1:npar_loc,ivpx:ivpz)**2,dim=2),idiag_ekinp) else if (lcartesian_coords.and.(all(lequidist))) then call sum_par_name(0.5*rhop_swarm*npar_per_cell* & sum(fp(1:npar_loc,ivpx:ivpz)**2,dim=2),idiag_ekinp) else call sum_par_name(0.5*mp_swarm* & sum(fp(1:npar_loc,ivpx:ivpz)**2,dim=2),idiag_ekinp) endif endif endif if (idiag_epotpm/=0) call sum_par_name( & -gravr/sqrt(sum(fp(1:npar_loc,ixp:izp)**2,dim=2)),idiag_epotpm) if (idiag_vpmax/=0) call max_par_name( & sqrt(sum(fp(1:npar_loc,ivpx:ivpz)**2,2)),idiag_vpmax) if (idiag_vpxmax/=0) call max_par_name(fp(1:npar_loc,ivpx),idiag_vpxmax) if (idiag_vpymax/=0) call max_par_name(fp(1:npar_loc,ivpy),idiag_vpymax) if (idiag_vpzmax/=0) call max_par_name(fp(1:npar_loc,ivpz),idiag_vpzmax) if (idiag_vpzmin/=0) call max_par_name(-fp(1:npar_loc,ivpz), & idiag_vpzmin,lneg=.true.) if (idiag_eccpxm/=0) call sum_par_name( & sum(fp(1:npar_loc,ivpx:ivpz)**2,dim=2)*fp(1:npar_loc,ixp)/gravr- & sum(fp(1:npar_loc,ixp:izp)*fp(1:npar_loc,ivpx:ivpz),dim=2)* & fp(1:npar_loc,ivpx)/gravr-fp(1:npar_loc,ixp)/ & sqrt(sum(fp(1:npar_loc,ixp:izp)**2,dim=2)),idiag_eccpxm) if (idiag_eccpym/=0) call sum_par_name( & sum(fp(1:npar_loc,ivpx:ivpz)**2,dim=2)*fp(1:npar_loc,iyp)/gravr- & sum(fp(1:npar_loc,ixp:izp)*fp(1:npar_loc,ivpx:ivpz),dim=2)* & fp(1:npar_loc,ivpy)/gravr-fp(1:npar_loc,iyp)/ & sqrt(sum(fp(1:npar_loc,ixp:izp)**2,dim=2)),idiag_eccpym) if (idiag_eccpzm/=0) call sum_par_name( & sum(fp(1:npar_loc,ivpx:ivpz)**2,dim=2)*fp(1:npar_loc,izp)/gravr- & sum(fp(1:npar_loc,ixp:izp)*fp(1:npar_loc,ivpx:ivpz),dim=2)* & fp(1:npar_loc,ivpz)/gravr-fp(1:npar_loc,izp)/ & sqrt(sum(fp(1:npar_loc,ixp:izp)**2,dim=2)),idiag_eccpzm) if (idiag_eccpx2m/=0) call sum_par_name(( & sum(fp(1:npar_loc,ivpx:ivpz)**2,dim=2)*fp(1:npar_loc,ixp)/gravr- & sum(fp(1:npar_loc,ixp:izp)*fp(1:npar_loc,ivpx:ivpz),dim=2)* & fp(1:npar_loc,ivpx)/gravr-fp(1:npar_loc,ixp)/ & sqrt(sum(fp(1:npar_loc,ixp:izp)**2,dim=2)))**2,idiag_eccpx2m) if (idiag_eccpy2m/=0) call sum_par_name(( & sum(fp(1:npar_loc,ivpx:ivpz)**2,dim=2)*fp(1:npar_loc,iyp)/gravr- & sum(fp(1:npar_loc,ixp:izp)*fp(1:npar_loc,ivpx:ivpz),dim=2)* & fp(1:npar_loc,ivpy)/gravr-fp(1:npar_loc,iyp)/ & sqrt(sum(fp(1:npar_loc,ixp:izp)**2,dim=2)))**2,idiag_eccpy2m) if (idiag_eccpz2m/=0) call sum_par_name(( & sum(fp(1:npar_loc,ivpx:ivpz)**2,dim=2)*fp(1:npar_loc,izp)/gravr- & sum(fp(1:npar_loc,ixp:izp)*fp(1:npar_loc,ivpx:ivpz),dim=2)* & fp(1:npar_loc,ivpz)/gravr-fp(1:npar_loc,izp)/ & sqrt(sum(fp(1:npar_loc,ixp:izp)**2,dim=2)))**2,idiag_eccpz2m) if (idiag_rhopvpxm/=0) then if (lparticles_density) then call sum_par_name(fp(1:npar_loc,irhopswarm)*fp(1:npar_loc,ivpx), & idiag_rhopvpxm) elseif (lparticles_radius.and.lparticles_number) then call sum_par_name(four_pi_rhopmat_over_three* & fp(1:npar_loc,iap)**3*fp(1:npar_loc,inpswarm)* & fp(1:npar_loc,ivpx),idiag_rhopvpxm) endif endif if (idiag_rhopvpym/=0) then if (lparticles_density) then call sum_par_name(fp(1:npar_loc,irhopswarm)*fp(1:npar_loc,ivpy), & idiag_rhopvpym) elseif (lparticles_radius.and.lparticles_number) then call sum_par_name(four_pi_rhopmat_over_three* & fp(1:npar_loc,iap)**3*fp(1:npar_loc,inpswarm)* & fp(1:npar_loc,ivpy),idiag_rhopvpym) endif endif if (idiag_rhopvpzm/=0) then if (lparticles_density) then call sum_par_name(fp(1:npar_loc,irhopswarm)*fp(1:npar_loc,ivpz), & idiag_rhopvpzm) elseif (lparticles_radius.and.lparticles_number) then call sum_par_name(four_pi_rhopmat_over_three* & fp(1:npar_loc,iap)**3*fp(1:npar_loc,inpswarm)* & fp(1:npar_loc,ivpz),idiag_rhopvpzm) endif endif if (idiag_rhopvpxt/=0) then if (lparticles_density) then call integrate_par_name(fp(1:npar_loc,irhopswarm)* & fp(1:npar_loc,ivpx),idiag_rhopvpxt) elseif (lparticles_radius.and.lparticles_number) then call integrate_par_name(four_pi_rhopmat_over_three* & fp(1:npar_loc,iap)**3*fp(1:npar_loc,inpswarm)* & fp(1:npar_loc,ivpx),idiag_rhopvpxt) endif endif if (idiag_rhopvpyt/=0) then if (lparticles_density) then call integrate_par_name(fp(1:npar_loc,irhopswarm)* & fp(1:npar_loc,ivpy),idiag_rhopvpyt) elseif (lparticles_radius.and.lparticles_number) then call integrate_par_name(four_pi_rhopmat_over_three* & fp(1:npar_loc,iap)**3*fp(1:npar_loc,inpswarm)* & fp(1:npar_loc,ivpy),idiag_rhopvpyt) endif endif if (idiag_rhopvpzt/=0) then if (lparticles_density) then call integrate_par_name(fp(1:npar_loc,irhopswarm)* & fp(1:npar_loc,ivpz),idiag_rhopvpzt) elseif (lparticles_radius.and.lparticles_number) then call integrate_par_name(four_pi_rhopmat_over_three* & fp(1:npar_loc,iap)**3*fp(1:npar_loc,inpswarm)* & fp(1:npar_loc,ivpz),idiag_rhopvpzt) endif endif if (idiag_rhopvpysm/=0) then if (lparticles_density) then call sum_par_name(fp(1:npar_loc,irhopswarm)* & Sshear*fp(1:npar_loc,ixp),idiag_rhopvpysm) elseif (lparticles_radius.and.lparticles_number) then call sum_par_name(four_pi_rhopmat_over_three* & fp(1:npar_loc,iap)**3*fp(1:npar_loc,inpswarm)* & Sshear*fp(1:npar_loc,ixp),idiag_rhopvpysm) endif endif if (idiag_mpt/=0) then if (lparticles_density) then call integrate_par_name((/fp(1:npar_loc,irhopswarm)/),idiag_mpt) elseif (lparticles_radius.and.lparticles_number) then call integrate_par_name((/four_pi_rhopmat_over_three* & fp(1:npar_loc,iap)**3*fp(1:npar_loc,inpswarm)/),idiag_mpt) endif endif if (idiag_npargone/=0) then call count_particles(ipar,npar_found) call save_name(float(npar-npar_found),idiag_npargone) endif if (idiag_deshearbcsm/=0) then call sum_name(energy_gain_shear_bcs/npar,idiag_deshearbcsm) endif endif ! if (lfirstcall) lfirstcall=.false. ! call keep_compiler_quiet(f) call keep_compiler_quiet(df) call keep_compiler_quiet(ineargrid) ! endsubroutine dvvp_dt !*********************************************************************** subroutine dxxp_dt_pencil(f,df,fp,dfp,p,ineargrid) ! ! Evolution of particle position (called from main pencil loop). ! ! 25-apr-06/anders: dummy ! real, dimension (mx,my,mz,mfarray) :: f real, dimension (mx,my,mz,mvar) :: df real, dimension (mpar_loc,mparray) :: fp real, dimension (mpar_loc,mpvar) :: dfp type (pencil_case) :: p integer, dimension (mpar_loc,3) :: ineargrid ! integer :: k, ix0, iy0, iz0 real :: dt1_advpx, dt1_advpy, dt1_advpz ! ! Contribution of dust particles to time step. ! if (lfirst.and.ldt.and.ldt_adv_par) then if (npar_imn(imn)/=0) then do k=k1_imn(imn),k2_imn(imn) ix0=ineargrid(k,1); iy0=ineargrid(k,2); iz0=ineargrid(k,3) dt1_advpx=abs(fp(k,ivpx))*dx_1(ix0) if (lshear) then dt1_advpy=(-qshear*Omega*fp(k,ixp)+abs(fp(k,ivpy)))*dy_1(iy0) else dt1_advpy=abs(fp(k,ivpy))*dy_1(iy0) endif dt1_advpz=abs(fp(k,ivpz))*dz_1(iz0) if (l_shell) then dt1_advpx=abs(fp(k,ivpx))/k_shell dt1_advpy=abs(fp(k,ivpy))/k_shell dt1_advpz=abs(fp(k,ivpz))/k_shell endif dt1_max(ix0-nghost)=max(dt1_max(ix0-nghost), & sqrt(dt1_advpx**2+dt1_advpy**2+dt1_advpz**2)/cdtp) enddo endif endif ! call keep_compiler_quiet(f) call keep_compiler_quiet(df) call keep_compiler_quiet(dfp) call keep_compiler_quiet(p) ! endsubroutine dxxp_dt_pencil !*********************************************************************** subroutine dvvp_dt_pencil(f,df,fp,dfp,p,ineargrid) ! ! Evolution of dust particle velocity (called from main pencil loop). ! ! 25-apr-06/anders: coded ! use Diagnostics use EquationOfState, only: cs20, ics !AXEL use Magnetic, only: get_bext use Particles_diagnos_dv, only: collisions use Particles_diagnos_state, only: persistence_check !-- use Particles_dragforce ! real, dimension (mx,my,mz,mfarray) :: f real, dimension (mx,my,mz,mvar) :: df type (pencil_case) :: p real, dimension (mpar_loc,mparray) :: fp real, dimension (mpar_loc,mpvar) :: dfp integer, dimension (mpar_loc,3) :: ineargrid ! real, dimension (nx) :: dt1_drag, dt1_drag_gas, dt1_drag_dust real, dimension (nx) :: drag_heat real, dimension (3) :: grad_omega, group_vel, bforce, uup, bbp real, dimension (3) :: kkp, vAvec !, bb_ext real, dimension(:), allocatable :: rep,stocunn real :: rho1_point, tausp1_par, up2, csp, cs2p, kdotvA real :: weight, weight_x, weight_y, weight_z real :: rhop_swarm_par, rhop, lnrhop real :: wave_speed, local_omega real :: omega_ms2, omega_ms real :: B2, B21, vA2, k2, cm4, cm2, cms2, kmod integer :: j, k, l, ix0, iy0, iz0 integer :: ixx, iyy, izz, ixx0, iyy0, izz0, ixx1, iyy1, izz1 ! intent (inout) :: f, df, dfp, fp, ineargrid ! ! Identify module. ! if (headtt) then if (lroot) print*,'dvvp_dt_pencil: calculate dvvp_dt' endif ! ! Precalculate certain quantities, if necessary. ! if (npar_imn(imn)/=0) then ! ! Precalculate particle Reynolds numbers. ! getrep: if (ldraglaw_steadystate .or. lparticles_spin) then allocate(rep(k1_imn(imn):k2_imn(imn))) if (.not. allocated(rep)) call fatal_error('dvvp_dt_pencil', 'unable to allocate sufficient memory for rep', .true.) call calc_pencil_rep(fp, rep) endif getrep ! ! Precalculate Stokes-Cunningham factor (only if not ldraglaw_simple) ! if (.not.ldraglaw_simple) then if (ldraglaw_steadystate.or.lbrownian_forces) then allocate(stocunn(k1_imn(imn):k2_imn(imn))) if (.not.allocated(stocunn)) then call fatal_error('dvvp_dt_pencil','unable to allocate sufficient'//& 'memory for stocunn') endif ! call calc_stokes_cunningham(fp,stocunn) endif endif endif ! ! Drag force on particles and on gas. ! if (ldragforce_dust_par .and. t>=tstart_dragforce_par) then if (headtt) print*,'dvvp_dt: Add drag force; tausp=', tausp ! if (ldragforce_heat.or.(ldiagnos.and.idiag_dedragp/=0)) drag_heat=0.0 ! !AXEL if (lfirstpoint .and. lmagnetic) call get_bext(bb_ext) ! if (npar_imn(imn)/=0) then ! if (lfirst.and.ldt) then dt1_drag_dust=0.0 if (ldragforce_gas_par) dt1_drag_gas=0.0 endif ! ! Loop over all particles in current pencil. ! do k=k1_imn(imn),k2_imn(imn) ! ! Interpolate gas velocity. ! if (lhydro) then if (lparticlemesh_cic) then call interpolate_linear(f,iux,iuz, & fp(k,ixp:izp),uup,ineargrid(k,:),0,ipar(k)) elseif (lparticlemesh_tsc) then if (linterpolate_spline) then call interpolate_quadratic_spline(f,iux,iuz, & fp(k,ixp:izp),uup,ineargrid(k,:),0,ipar(k)) else call interpolate_quadratic(f,iux,iuz, & fp(k,ixp:izp),uup,ineargrid(k,:),0,ipar(k)) endif else uup=f(ix0,iy0,iz0,iux:iuz) endif else uup=0.0 endif ! ! Interpolated magnetic field. ! if (lmagnetic) then if (lparticlemesh_cic) then call interpolate_linear(f,ibx,ibz, & fp(k,ixp:izp),bbp,ineargrid(k,:),0,ipar(k)) elseif (lparticlemesh_tsc) then if (linterpolate_spline) then call interpolate_quadratic_spline(f,ibx,ibz, & fp(k,ixp:izp),bbp,ineargrid(k,:),0,ipar(k)) else call interpolate_quadratic(f,ibx,ibz, & fp(k,ixp:izp),bbp,ineargrid(k,:),0,ipar(k)) endif else bbp=f(ix0,iy0,iz0,ibx:ibz) endif !AXEL if (any(bb_ext /= 0.0)) bbp = bbp + bb_ext else bbp=0.0 endif ! ! Interpolate sound speed csp. ! if (leos) then if (lparticlemesh_cic) then call interpolate_linear(f,ics, & fp(k,ixp:izp),csp,ineargrid(k,:),0,ipar(k)) elseif (lparticlemesh_tsc) then ! if (linterpolate_spline) then ! call interpolate_quadratic_spline(f,ics,ics, & ! fp(k,ixp:izp),csp,ineargrid(k,:),0,ipar(k)) ! else ! call interpolate_quadratic(f,ics,ics, & ! fp(k,ixp:izp),csp,ineargrid(k,:),0,ipar(k)) ! endif call fatal_error('dvvp_dt_pencil', & 'lparticlemesh_tsc not yet for scalar') else csp=f(ix0,iy0,iz0,ics) endif else csp=0.0 endif ! ! Interpolate logarithmic density lnrhop ! if (leos) then if (lparticlemesh_cic) then call interpolate_linear(f,ilnrho, & fp(k,ixp:izp),lnrhop,ineargrid(k,:),0,ipar(k)) elseif (lparticlemesh_tsc) then ! if (linterpolate_spline) then ! call interpolate_quadratic_spline(f,ilnrho,ilnrho, & ! fp(k,ixp:izp),lnrhop,ineargrid(k,:),0,ipar(k)) ! else ! call interpolate_quadratic(f,ilnrho,ilnrho, & ! fp(k,ixp:izp),lnrhop,ineargrid(k,:),0,ipar(k)) ! endif call fatal_error('dvvp_dt_pencil', & 'lparticlemesh_tsc not yet for scalar') else lnrhop=f(ix0,iy0,iz0,ilnrho) endif else lnrhop=0.0 endif ! ! Track particle state in terms of local gas velocity ! [to put frequency calculation in there] ! if (lparticles_diagnos_state .and. lfirst) & call persistence_check(fp, k, uup) ! ! Get the friction time. For the case of |uup| ~> cs, the Epstein drag law ! is dependent on the relative mach number, hence the need to feed uup as ! an optional argument to get_frictiontime. ! if (ldraglaw_epstein_transonic .or. & ldraglaw_eps_stk_transonic) then call get_frictiontime(f,fp,p,ineargrid,k,tausp1_par,uup) elseif (ldraglaw_steadystate) then call get_frictiontime(f,fp,p,ineargrid,k,tausp1_par,rep=rep(k),& stocunn=stocunn(k)) else call get_frictiontime(f,fp,p,ineargrid,k,tausp1_par) endif ! ! wavevector ! kkp(1)=fp(k,ivpx) kkp(2)=fp(k,ivpy) kkp(3)=fp(k,ivpz) k2=kkp(1)**2+kkp(2)**2+kkp(3)**2 kmod=sqrt(k2) ! ! Wave speed: compute kperp etc. ! if(lmagnetic) then B2=bbp(1)**2+bbp(2)**2+bbp(3)**2 ! ! compute omega_ms ! rhop=exp(lnrhop) vA2=B2/(mu0*rhop) vAvec(1:3)=bbp(1:3)/sqrt(mu0*rhop) kdotvA=sum(kkp*vAvec) cs2p=csp**2 cms2=cs2p+vA2 cm4=cms2**2-4.*kdotvA**2*cs2p/k2 cm2=sqrt(cm4) omega_ms2=.5*k2*(cms2+cm2) omega_ms=sqrt(omega_ms2) ! ! wave speed ! group_vel(1:3)=uup(1:3)+omega_ms*kkp(1:3)/k2 & -cs2p/(omega_ms*cm2)*(vAvec(1:3)*kdotvA-kkp(1:3)*kdotvA**2/k2) else if (leos) then wave_speed=csp else wave_speed=sqrt(0.-fp(k,izp)) endif group_vel(1:3)=uup(1:3)+wave_speed*kkp(1:3)/(kmod+tini) endif ! if (nxgrid/=1) dfp(k,ixp)=dfp(k,ixp)+group_vel(1) if (nygrid/=1) dfp(k,iyp)=dfp(k,iyp)+group_vel(2) if (nzgrid/=1) dfp(k,izp)=dfp(k,izp)+group_vel(3) ! ! Compute dk/dt = grad(omega). The local_omega is used only for diagnostics. ! call omega_disper(f,fp,k,ineargrid,grad_omega,local_omega) dfp(k,ivpx:ivpz)=dfp(k,ivpx:ivpz)-grad_omega ! ! With drag force on the gas as well, the maximum time-step is set as ! dt1_drag = Sum_k[eps_k/tau_k] ! if (lfirst.and.ldt) then dt1_drag_dust(ix0-nghost)= & max(dt1_drag_dust(ix0-nghost),tausp1_par) if (ldragforce_gas_par) then if (p%np(ix0-nghost)/=0.0) & dt1_drag_gas(ix0-nghost)=dt1_drag_gas(ix0-nghost)+ & rhop_swarm_par*tausp1_par endif endif enddo ! ! Add drag force heating in pencils. ! if (lentropy .and. ldragforce_heat) & df(l1:l2,m,n,iss) = df(l1:l2,m,n,iss) + p%rho1*p%TT1*drag_heat ! ! Contribution of friction force to time-step. Dust and gas inverse friction ! time-steps are added up to give a valid expression even when the two are ! of similar magnitude. ! if (lfirst.and.ldt) then if (ldragforce_gas_par) then dt1_drag=dt1_drag_dust+dt1_drag_gas else dt1_drag=dt1_drag_dust endif dt1_drag=dt1_drag/cdtp dt1_max=max(dt1_max,dt1_drag) endif else ! ! No particles in this pencil. ! if (lfirst.and.ldt) dt1_drag=0.0 endif endif ! ! Add friction force from gas that moves systematically slower. Can be used ! to mimic e.g. a sub-Keplerian gas flow without using the Hydro module. ! if (Deltauy_gas_friction/=0.0 .and. t>=tstart_dragforce_par) then if (npar_imn(imn)/=0) then do k=k1_imn(imn),k2_imn(imn) call get_frictiontime(f,fp,p,ineargrid,k,tausp1_par) dfp(k,ivpy) = dfp(k,ivpy) - Deltauy_gas_friction*tausp1_par enddo endif endif ! ! Collisional cooling is in a separate subroutine. ! if ( (lcollisional_cooling_taucool .or. lcollisional_cooling_rms .or. & lcollisional_cooling_twobody .or. lcollisional_dragforce_cooling) & .and. t>=tstart_collisional_cooling) & call collisional_cooling(f,df,fp,dfp,p,ineargrid) ! ! Add Brownian forces. ! if (lbrownian_forces .and. t>=tstart_brownian_par) then if (npar_imn(imn)/=0) then do k=k1_imn(imn),k2_imn(imn) call calc_brownian_force(fp,k,ineargrid(k,:),stocunn(k),bforce) dfp(k,ivpx:ivpz)=dfp(k,ivpx:ivpz)+bforce enddo endif endif ! ! For stiff drag force equations we need to store the forces that are ! unique to the gas. ! if (ldragforce_stiff .and. .not. lpencil_check_at_work) then f(l1:l2,m,n,ifgx:ifgz)=p%fpres+p%jxbr+p%fvisc endif ! ! Diagnostic output. ! if (ldiagnos) then if (idiag_npm/=0) call sum_mn_name(p%np,idiag_npm) if (idiag_np2m/=0) call sum_mn_name(p%np**2,idiag_np2m) if (idiag_npmax/=0) call max_mn_name(p%np,idiag_npmax) if (idiag_npmin/=0) call max_mn_name(-p%np,idiag_npmin,lneg=.true.) if (idiag_rhopm/=0) call sum_mn_name(p%rhop,idiag_rhopm) if (idiag_omegapm/=0) call max_name(local_omega,idiag_omegapm) if (idiag_rhop2m/=0 ) call sum_mn_name(p%rhop**2,idiag_rhop2m) if (idiag_rhoprms/=0) call sum_mn_name(p%rhop**2,idiag_rhoprms,lsqrt=.true.) if (idiag_rhopmax/=0) call max_mn_name(p%rhop,idiag_rhopmax) if (idiag_rhopmin/=0) call max_mn_name(-p%rhop,idiag_rhopmin,lneg=.true.) if (idiag_epspmax/=0) call max_mn_name(p%epsp,idiag_epspmax) if (idiag_epspmin/=0) call max_mn_name(-p%epsp,idiag_epspmin,lneg=.true.) if (idiag_dedragp/=0) call sum_mn_name(drag_heat,idiag_dedragp) if (idiag_dvpx2m/=0 .or. idiag_dvpx2m/=0 .or. idiag_dvpx2m/=0 .or. & idiag_dvpm /=0 .or. idiag_dvpmax/=0) & call calculate_rms_speed(fp,ineargrid,p) if (idiag_dtdragp/=0.and.(lfirst.and.ldt)) & call max_mn_name(dt1_drag,idiag_dtdragp,l_dt=.true.) endif ! ! 1d-averages. Happens at every it1d timesteps, NOT at every it1 ! if (l1davgfirst) then if (idiag_npmx/=0) call yzsum_mn_name_x(p%np,idiag_npmx) if (idiag_npmy/=0) call xzsum_mn_name_y(p%np,idiag_npmy) if (idiag_npmz/=0) call xysum_mn_name_z(p%np,idiag_npmz) if (idiag_rhopmx/=0) call yzsum_mn_name_x(p%rhop,idiag_rhopmx) if (idiag_rhopmy/=0) call xzsum_mn_name_y(p%rhop,idiag_rhopmy) if (idiag_rhopmz/=0) call xysum_mn_name_z(p%rhop,idiag_rhopmz) if (idiag_epspmx/=0) call yzsum_mn_name_x(p%epsp,idiag_epspmx) if (idiag_epspmy/=0) call xzsum_mn_name_y(p%epsp,idiag_epspmy) if (idiag_epspmz/=0) call xysum_mn_name_z(p%epsp,idiag_epspmz) if (idiag_rhopmr/=0) call phizsum_mn_name_r(p%rhop,idiag_rhopmr) endif ! if (l2davgfirst) then if (idiag_npmxy/=0) call zsum_mn_name_xy(p%np,idiag_npmxy) if (idiag_rhopmphi/=0) call phisum_mn_name_rz(p%rhop,idiag_rhopmphi) if (idiag_rhopmxy/=0) call zsum_mn_name_xy(p%rhop,idiag_rhopmxy) if (idiag_rhopmxz/=0) call ysum_mn_name_xz(p%rhop,idiag_rhopmxz) endif ! ! particle-particle separation and relative velocity diagnostics ! if (lparticles_diagnos_dv .and. lfirstpoint .and. lfirst) then if (t > t_nextcol) call collisions(fp) endif ! ! Clean up (free allocated memory). ! if (allocated(rep)) deallocate(rep) if (allocated(stocunn)) deallocate(stocunn) ! endsubroutine dvvp_dt_pencil !*********************************************************************** subroutine dxxp_dt_blocks(f,df,fp,dfp,ineargrid) ! ! Evolution of particle position in blocks. ! ! 29-nov-09/anders: dummy ! real, dimension (mx,my,mz,mfarray) :: f real, dimension (mx,my,mz,mvar) :: df real, dimension (mpar_loc,mparray) :: fp real, dimension (mpar_loc,mpvar) :: dfp integer, dimension (mpar_loc,3) :: ineargrid ! call keep_compiler_quiet(f) call keep_compiler_quiet(df) call keep_compiler_quiet(fp) call keep_compiler_quiet(dfp) call keep_compiler_quiet(ineargrid) ! endsubroutine dxxp_dt_blocks !*********************************************************************** subroutine dvvp_dt_blocks(f,df,fp,dfp,ineargrid) ! ! Evolution of particle velocity in blocks. ! ! 29-nov-09/anders: dummy ! real, dimension (mx,my,mz,mfarray) :: f real, dimension (mx,my,mz,mvar) :: df real, dimension (mpar_loc,mparray) :: fp real, dimension (mpar_loc,mpvar) :: dfp integer, dimension (mpar_loc,3) :: ineargrid ! call keep_compiler_quiet(f) call keep_compiler_quiet(df) call keep_compiler_quiet(fp) call keep_compiler_quiet(dfp) call keep_compiler_quiet(ineargrid) ! endsubroutine dvvp_dt_blocks !*********************************************************************** subroutine get_frictiontime(f,fp,p,ineargrid,k,tausp1_par,uup,& nochange_opt,rep,stocunn) ! ! Calculate the friction time. ! real, dimension (mx,my,mz,mfarray) :: f real, dimension (mpar_loc,mparray) :: fp type (pencil_case) :: p real :: tausp1_par, tmp integer, dimension (mpar_loc,3) :: ineargrid integer :: k logical, optional :: nochange_opt ! real, optional, dimension(3) :: uup real, optional :: rep, stocunn ! real :: tausg1_point,OO integer :: ix0, iy0, iz0, inx0, jspec logical :: nochange=.true. ! intent(in) :: rep,uup ! if (present(nochange_opt)) then if (nochange_opt) then nochange=.true. else nochange=.false. endif else nochange=.false. endif ! ix0=ineargrid(k,1); iy0=ineargrid(k,2); iz0=ineargrid(k,3) inx0=ix0-nghost ! ! Epstein drag law. ! if (ldraglaw_epstein) then if (iap/=0) then if (fp(k,iap)/=0.0) tausp1_par = 1/(fp(k,iap)*rhopmat) else ! Check if we are using multiple or single particle species. if (npar_species>1) then jspec=npar_species*(ipar(k)-1)/npar+1 tmp=tausp1_species(jspec) else tmp=tausp1 endif ! ! Scale friction time with local density. ! if (ldraglaw_variable_density) then tausp1_par = tmp * get_gas_density(f,ix0,iy0,iz0) ! ! Discriminate between constant tau and special case for ! 1/tau=omega when omega is not constant (as, for instance, ! global Keplerian disks, for which omega=rad**(-3/2) ! elseif (ldraglaw_variable) then if (lcartesian_coords) then OO=(fp(k,ixp)**2 + fp(k,iyp)**2)**(-0.75) elseif (lcylindrical_coords) then OO=fp(k,ixp)**(-1.5) elseif (lspherical_coords) then call fatal_error("get_frictiontime",& "variable draglaw not implemented for"//& "spherical coordinates") OO=0. else call fatal_error("get_frictiontime", & "no valid coord system") OO=0. endif tausp1_par=tmp*OO else ! ! Constant friction time. ! tausp1_par=tmp endif endif else if (ldraglaw_epstein_stokes_linear) then ! ! When the particle radius is larger than 9/4 times the mean free path ! of the gas molecules one must use the Stokes drag law rather than the ! Epstein law. ! ! We need here to know the mean free path of the gas molecules: ! lambda = mu_mol/(rhog*sigma_mol) ! ! The quantities are: ! mu_mol = mean molecular weight [=3.9e-24 g for H_2] ! rhog = gas density ! sigma_mol = cross section of gas molecules [=2e-15 cm^2 for H_2] ! ! Actually need to know the mean free path in units of the gas scale ! height H [if H=1]. Inserting the mid-plane expression ! rhog=Sigmag/[sqrt(2*pi)*H] ! gives ! lambda/H = sqrt(2*pi)*mu_mol/(Sigmag*sigma_mol) ! ~= 4.5e-9/Sigmag ! when Sigmag is given in g/cm^2. ! if (iap==0) then if (lroot) print*, 'get_frictiontime: need particle radius as dynamical variable for Stokes law' call fatal_error('get_frictiontime','') endif if (fp(k,iap)<2.25*mean_free_path_gas) then tausp1_par = 1/(fp(k,iap)*rhopmat) else tausp1_par = 1/(fp(k,iap)*rhopmat)*2.25*mean_free_path_gas/fp(k,iap) endif ! else if (ldraglaw_epstein_transonic) then ! ! Draw laws for intermediate mach number. This is for pure Epstein drag... ! call calc_draglaw_parameters(fp,k,uup,p,inx0,tausp1_par) ! else if (ldraglaw_eps_stk_transonic) then ! ! ...and this is for a linear combination of Esptein and Stokes drag at ! intermediate mach number. Pure Stokes drag is not implemented. ! call calc_draglaw_parameters(fp,k,uup,p,inx0,tausp1_par,lstokes=.true.) ! elseif (ldraglaw_steadystate) then if (.not.present(rep)) then call fatal_error('get_frictiontime','need particle reynolds '// & 'number, rep, to calculate the steady state drag '// & 'relaxation time!') elseif (.not.present(stocunn)) then call fatal_error('get_frictiontime','need particle stokes '// & 'cunningham factor, stocunn, to calculate the steady '// & ' state drag relaxation time!') else call calc_draglaw_steadystate(fp,k,rep,stocunn,tausp1_par) endif ! ! Simple drag law, drag force = 1/\taup (v-u) where \taup is an input parameter. ! else if (ldraglaw_simple) then ! write(*,*)'DM','simple drag' ! Check if we are using multiple or single particle species. if (npar_species>1) then jspec=npar_species*(ipar(k)-1)/npar+1 tmp=tausp1_species(jspec) else tmp=tausp1 endif tausp1_par=tmp endif ! ! Change friction time artificially. ! if (.not. nochange) then ! ! Increase friction time to avoid very small time-steps where the ! dust-to-gas ratio is high. ! if (tausg_min/=0.0) then tausg1_point=tausp1_par*p%epsp(ix0-nghost) if (tausg1_point>tausg1_max) & tausp1_par=tausg1_max/p%epsp(ix0-nghost) endif ! ! Increase friction time linearly with dust density where the dust-to-gas ! ratio is higher than a chosen value. Supposed to mimick decreased cooling ! when the gas follows the dust. ! if (epsp_friction_increase/=0.0) then if (p%epsp(ix0-nghost)>epsp_friction_increase) & tausp1_par=tausp1_par/(p%epsp(ix0-nghost)/epsp_friction_increase) endif ! endif ! call keep_compiler_quiet(f) call keep_compiler_quiet(ineargrid) ! endsubroutine get_frictiontime !*********************************************************************** subroutine calc_draglaw_parameters(fp,k,uup,p,inx0,tausp1_par,lstokes) ! use EquationOfState, only: rho0,cs0 ! real, dimension (mpar_loc,mparray) :: fp real, dimension(3) :: uup,duu type (pencil_case) :: p real :: tausp1_par,tmp,tmp1 integer :: k, inx0, jspec real :: kd,fd,mach,mach2,fac,OO real :: knudsen,reynolds,lambda real :: inv_particle_radius,kn_crit logical, optional :: lstokes logical, save :: lfirstcall ! ! Epstein drag away from the limit of subsonic particle motion. The drag ! force is given by (Schaaf 1963) ! ! Feps=-pi*a**2 * rhog * |Delta(u)| * Delta(u) & (1) ! *[(1+1/m**2+1/(4*m**4))*erf(m) + (1/m+1/(2*m**3)*exp(-m**2)/sqrt(pi)] ! ! where Delta(u) is the relative dust-to-gas velocity (vector) ! and m=|Delta(u)|/cs (scalar) is the relative mach number of the flow ! ! As erf is too cumbersome a function to implement numerically, an interpolation ! between the limits of ! ! subsonic: Feps=-sqrt(128*pi)/3*a**2*rhog*cs*Delta(u) (2) ! supersonic: Feps=-pi*a**2*rhog*|Delta(u)|*Delta(u) (3) ! ! is used, leading to an expression that can be used for arbitrary velocities ! as derived by Kwok (1975). ! ! transonic: Feps=-sqrt(128*pi)/3*a**2*rhog*cs*fd*Delta(u) (4) ! ! where fd=sqrt(1 + 9*pi/128*m**2) (5) ! ! The force Feps is divided by the mass of the particle mp=4/3*pi*a**3*rhopmat ! to yield the acceleration feps=Feps/mp ! ! feps = -sqrt(8/pi)*rhog*cs*fd*Delta(u)/[a*rhopmat] (6) ! ! Epstein drag ceases to work when the particle diameter becomes comparable ! to the mean free path (lambda) of the gas molecules. In this case, the force ! is given by Stokes friction in the viscous case (low dust Reynolds number) ! ! Fsto=-6*pi*a*mu_kin*Delta(u) (7) ! ! where mu_kin is the kinematic viscosity of the gas ! ! mu_kin=1/3*rhog*vth*lambda (8) ! ! and vth=sqrt(8/pi)*cs is the mean thermal velocity of the gas. For high dust ! Reynolds numbers the viscosity if uninmportant and the drag force of the tur- ! bulent flow past the particle is given by Newtonian friction ! ! Fnew=-1.3*pi*a**2*rhog*|Delta(u)|*Delta(u) ! ! The two cases are once again connected by an interpolating factor ! ! F'sto=-6*pi*a*kd*mu_kin*Delta(u) ! ! where kd is a factor that contains the Reynolds number of the flow over the ! particle (defined in the code, some lines below). ! ! The following interpolation then works for flows of arbitrary Knudsen, Mach and Reynolds ! numbers ! ! Fdrag = [Kn'/(Kn'+1)]**2 * Feps + [1/(Kn'+1)]**2 * F'sto ! ! Where Kn'=3*Kn is the critical Knudsen number where the viscous (Stokes) drag and the subsonic ! Epstein drag are equal. ! ! (The discussion above was taken from Paardekooper 2006, Woite & Helling 2003 and Kwok 1975) ! ! In the 2D case, the density rhog is to be replaced by ! ! rhog=Sigmag/[sqrt(2*pi)H] ! =Sigmag*Omega/[sqrt(2*pi)*cs] ! ! which removes the dependence of (6) on cs. We are left with ! ! feps = -2/pi*sigmag*Omega*fd*Delta(u)/[a*rhopmat] ! ! the constant terms are tausp1. The same follows for Stokes drag ! ! Friction time for different species ! if (npar_species==1) then tmp=tausp tmp1=tausp1 else jspec=npar_species*(ipar(k)-1)/npar+1 tmp=tausp_species(jspec) tmp1=tausp1_species(jspec) endif ! ! Relative velocity ! duu=fp(k,ivpx:ivpz)-uup ! if (nzgrid==1) then ! then omega is needed if (ldraglaw_variable) then !these omegas assume GM=1 if (lcartesian_coords) then OO=(fp(k,ixp)**2 + fp(k,iyp)**2)**(-0.75) elseif (lcylindrical_coords) then OO=fp(k,ixp)**(-1.5) elseif (lspherical_coords) then call fatal_error('get_frictiontime', & 'variable draglaw not implemented for '//& 'spherical coordinates') endif else OO=nu_epicycle endif endif ! ! Possibility to include the transition from Epstein to Stokes drag ! if (present(lstokes)) then ! if (lfirstcall) & print*, 'get_frictiontime: Epstein-Stokes transonic drag law' ! ! The mach number and the correction fd to flows of arbitrary mach number ! mach=sqrt((duu(1)**2+duu(2)**2+duu(3)**2)/p%cs2(inx0)) fd=sqrt(1+(9.0*pi/128)*mach**2) ! ! For Stokes drag, the mean free path is needed ! ! lambda = 1/rhog*(mu/sigma_coll)_H2 ! ! were mu_H2 is the mean molecular weight of the hydrogen molecule (3.9e-24 g), ! and sigma_coll its cross section (2e-15 cm^2). ! Assume that (mu/sigma_coll) is the input parameter mean_free_path_gas ! if (mean_free_path_gas==0) then print*,'You want to use Stokes drag but you forgot to set '//& 'mean_free_path_gas in the .in files. Stop and check.' call fatal_error("calc_draglaw_parameters","") endif ! if (nzgrid==1) then !the sqrt(2pi) factor is inside the mean_free_path_gas constant lambda=mean_free_path_gas * sqrt(p%cs2(inx0))*rho0/(p%rho(inx0)*OO*cs0) else lambda=mean_free_path_gas * rho0/p%rho(inx0) endif ! ! The Knudsen number is the ratio of the mean free path to the particle ! radius, 2s. To keep consistency with the formulation evolving for radius, ! tausp1 is C/(s*rhopmat) where C is 2/pi for 2d runs and sqrt(8/pi) for 3D ! runs (because of the sqrt(2*pi) factor coming from the substitution ! Sigma=rho/(sqrt(2*pi)*H). 's' is the particle radius if (iap/=0) then inv_particle_radius=1/fp(k,iap) else if (luse_tau_ap) then ! use tausp as the radius (in meter) to make life easier inv_particle_radius=tmp1 else if (nzgrid==1) then inv_particle_radius=0.5*pi*tmp1 !rhopmat=1, particle_radius in meters else inv_particle_radius=sqrt(pi/8)*tmp1 !rhopmat=1, particle_radius in meters endif endif endif ! knudsen=0.5*lambda*inv_particle_radius ! ! The Stokes drag depends non-linearly on ! ! Re = 2*s*rho_g*|delta(v)|/mu_kin ! reynolds=3*sqrt(pi/8)*mach/knudsen ! ! the Reynolds number of the flow over the particle. It can parameterized by ! if (reynolds<=500) then kd=1.0+0.15*reynolds**0.687 elseif ((reynolds>500).and.(reynolds<=1500)) then kd=3.96e-6*reynolds**2.4 elseif (reynolds>1500) then kd=0.11*reynolds else call fatal_error("calc_draglaw_parameters", & "something went pretty wrong") kd=0. endif ! ! And we finally have the Stokes correction to intermediate Knudsen numbers ! kn_crit is the critical knudsen number where viscous (low reynolds) ! Stokes and subsonic Epstein friction are equal (Woitke & Helling, 2003) ! kn_crit=3*knudsen fac=kn_crit/(kn_crit+1)**2 * (kn_crit*fd + kd) ! else ! ! Only use Epstein drag ! if (lfirstcall) & print*,'get_frictiontime: Epstein transonic drag law' ! mach2=(duu(1)**2+duu(2)**2+duu(3)**2)/p%cs2(inx0) fd=sqrt(1+(9.0*pi/128)*mach2) fac=fd ! endif ! ! Calculate tausp1_par for 2d and 3d cases with and without particle_radius ! as a dynamical variable ! if (iap/=0) then if (fp(k,iap)/=0.0) then if (nzgrid==1) then tausp1_par= 2*pi_1*OO* & p%rho(inx0)*fac/(fp(k,iap)*rhopmat) else tausp1_par=sqrt(8*pi_1*p%cs2(inx0))*p%rho(inx0)* & fac/(fp(k,iap)*rhopmat) endif endif else !normalize to make tausp1 not dependent on cs0 or rho0 !bad because it comes at the expense of evil divisions if (nzgrid==1) then if (luse_tau_ap) then tausp1_par=tmp1*2*pi_1*OO*p%rho(inx0)*fac/(rho0*rhopmat) else tausp1_par=tmp1*OO*p%rho(inx0)*fac/ rho0 endif else if (luse_tau_ap) then tausp1_par=tmp1*sqrt(8*pi_1*p%cs2(inx0))*p%rho(inx0)*fac/(rho0*cs0) else tausp1_par=tmp1*sqrt(p%cs2(inx0))*p%rho(inx0)*fac/(rho0*cs0) endif endif endif ! if (lfirstcall) lfirstcall=.false. ! endsubroutine calc_draglaw_parameters !*********************************************************************** subroutine collisional_cooling(f,df,fp,dfp,p,ineargrid) ! ! Reduce relative speed between particles due to inelastic collisions. ! ! 23-sep-06/anders: coded ! use Diagnostics ! real, dimension (mx,my,mz,mfarray) :: f real, dimension (mx,my,mz,mvar) :: df real, dimension (mpar_loc,mparray) :: fp real, dimension (mpar_loc,mpvar) :: dfp type (pencil_case) :: p integer, dimension (mpar_loc,3) :: ineargrid ! real, dimension (nx,npar_species,npar_species) :: tau_coll1_species real, dimension (nx,3,npar_species) :: vvpm_species real, dimension (nx,npar_species) :: np_species, vpm_species real, dimension (nx,npar_species) :: tau_coll1_tot real, dimension (nx,3) :: vvpm real, dimension (nx) :: vpm, tau_coll1, tausp1m, vcoll, coll_heat real, dimension (nx) :: rhop_swarm_mn real, dimension (3) :: deltavp_vec, vbar_jk real :: deltavp, tau_cool1_par, dt1_cool real :: tausp1_par, tausp1_parj, tausp1_park, tausp_parj, tausp_park real :: tausp_parj3, tausp_park3, rhop_swarm_par integer :: j, k, l, ix0 integer :: ispecies, jspecies ! if (ldiagnos .or. lentropy .and. lcollisional_heat) coll_heat=0.0 ! ! Add collisional cooling of the rms speed. ! if (lcollisional_cooling_taucool) then if (npar_imn(imn)/=0) then vvpm=0.0 do k=k1_imn(imn),k2_imn(imn) ix0=ineargrid(k,1) vvpm(ix0-nghost,:) = vvpm(ix0-nghost,:) + fp(k,ivpx:ivpz) enddo do l=1,nx if (p%np(l)>1.0) vvpm(l,:)=vvpm(l,:)/p%np(l) enddo ! do k=k1_imn(imn),k2_imn(imn) ix0=ineargrid(k,1) dfp(k,ivpx:ivpz) = dfp(k,ivpx:ivpz) - & taucool1*(fp(k,ivpx:ivpz)-vvpm(ix0-nghost,:)) enddo ! if (lfirst.and.ldt) dt1_max=max(dt1_max,taucool1/cdtp) endif endif ! ! Add collisional cooling of the rms speed, with cooling time-scale based ! on friction time and local rms speed of particles. ! if (lcollisional_cooling_rms) then if (npar_imn(imn)/=0) then ! When multiple friction times are present, the average is used for the ! number density in each superparticle. if (npar_species>1) then tausp1m=0.0 else call get_frictiontime(f,fp,p,ineargrid,1,tausp1_par, & nochange_opt=.true.) endif ! Need vpm=<|vvp-|> to calculate the collisional time-scale. vvpm=0.0; vpm=0.0 do k=k1_imn(imn),k2_imn(imn) ix0=ineargrid(k,1) vvpm(ix0-nghost,:) = vvpm(ix0-nghost,:) + fp(k,ivpx:ivpz) if (npar_species>1) then call get_frictiontime(f,fp,p,ineargrid,k,tausp1_par, & nochange_opt=.true.) tausp1m(ix0-nghost) = tausp1m(ix0-nghost) + tausp1_par endif enddo do l=1,nx if (p%np(l)>1.0) then vvpm(l,:)=vvpm(l,:)/p%np(l) if (npar_species>1) tausp1m=tausp1m/p%np endif enddo ! vpm do k=k1_imn(imn),k2_imn(imn) ix0=ineargrid(k,1) vpm(ix0-nghost) = vpm(ix0-nghost) + & sqrt( (fp(k,ivpx)-vvpm(ix0-nghost,1))**2 + & (fp(k,ivpy)-vvpm(ix0-nghost,2))**2 + & (fp(k,ivpz)-vvpm(ix0-nghost,3))**2 ) enddo do l=1,nx if (p%np(l)>1.0) then vpm(l)=vpm(l)/p%np(l) endif enddo ! The collisional time-scale is 1/tau_coll=nd*vrms*sigma_coll. ! Inserting Epstein friction time gives 1/tau_coll=3*rhod/rho*vprms/tauf. if (npar_species>1) then tau_coll1=(1.0-coeff_restitution)*p%epsp*vpm*tausp1m else tau_coll1=(1.0-coeff_restitution)*p%epsp*vpm*tausp1_par endif ! Limit inverse time-step of collisional cooling if requested. if (tau_coll_min>0.0) then where (tau_coll1>tau_coll1_max) tau_coll1=tau_coll1_max endif ! do k=k1_imn(imn),k2_imn(imn) ix0=ineargrid(k,1) dfp(k,ivpx:ivpz) = dfp(k,ivpx:ivpz) - & tau_coll1(ix0-nghost)*(fp(k,ivpx:ivpz)-vvpm(ix0-nghost,:)) if (lcollisional_heat .or. ldiagnos) then call get_rhopswarm(mp_swarm,fp,k,ineargrid(k,:),rhop_swarm_par) coll_heat(ix0-nghost) = coll_heat(ix0-nghost) + & rhop_swarm_par*tau_coll1(ix0-nghost)*& sum(fp(k,ivpx:ivpz)*(fp(k,ivpx:ivpz)-vvpm(ix0-nghost,:))) endif enddo ! if (lfirst.and.ldt) dt1_max=max(dt1_max,tau_coll1/cdtp) endif endif ! ! More advanced collisional cooling model. Collisions are considered for ! every possible two-body process in a grid cell. ! if (lcollisional_cooling_twobody) then do l=1,nx ! Collisions between particle k and all other particles in the grid cell. k=kshepherd(l) if (k>0) then ! Limit inverse time-step of collisional cooling if requested. do while (k/=0) dt1_cool=0.0 call get_frictiontime(f,fp,p,ineargrid,k,tausp1_park, & nochange_opt=.true.) tausp_park=1/tausp1_park tausp_park3=tausp_park**3 j=k do while (kneighbour(j)/=0) ! Collide with the neighbours of k and their neighbours. j=kneighbour(j) call get_frictiontime(f,fp,p,ineargrid,j,tausp1_parj, & nochange_opt=.true.) tausp_parj=1/tausp1_parj tausp_parj3=tausp_parj**3 ! Collision velocity. deltavp_vec=fp(k,ivpx:ivpz)-fp(j,ivpx:ivpz) deltavp=sqrt( deltavp_vec(1)**2 + deltavp_vec(2)**2 + & deltavp_vec(3)**2 ) vbar_jk= & (tausp_parj3*fp(k,ivpx:ivpz)+tausp_park3*fp(j,ivpx:ivpz))/ & (tausp_parj3+tausp_park3) ! Cooling time-scale. call get_rhopswarm(mp_swarm,fp,k,ineargrid(k,:),rhop_swarm_par) tau_cool1_par= & (1.0-coeff_restitution)* & rhop_swarm_par*deltavp*(tausp_parj+tausp_park)**2/ & (tausp_parj3+tausp_park3) dt1_cool=dt1_cool+tau_cool1_par ! if (tau_coll_min>0.0) then ! if (tau_cool1_par>tau_coll1_max) tau_cool1_par=tau_coll1_max ! endif dfp(j,ivpx:ivpz) = dfp(j,ivpx:ivpz) - & tau_cool1_par*(fp(j,ivpx:ivpz)-vbar_jk) dfp(k,ivpx:ivpz) = dfp(k,ivpx:ivpz) - & tau_cool1_par*(fp(k,ivpx:ivpz)-vbar_jk) enddo if (lfirst.and.ldt) dt1_max=max(dt1_max(l),dt1_cool/cdtp) ! Go through all possible k. k=kneighbour(k) enddo endif enddo ! endif ! ! Treat collisions as a drag force that damps the rms speed at the same ! time-scale. ! if (lcollisional_dragforce_cooling) then if (npar_imn(imn)/=0) then vvpm_species=0.0; vpm_species=0.0; np_species=0.0 ! Calculate mean velocity and number of particles for each species. do k=k1_imn(imn),k2_imn(imn) ix0=ineargrid(k,1) ispecies=npar_species*(ipar(k)-1)/npar+1 vvpm_species(ix0-nghost,:,ispecies) = & vvpm_species(ix0-nghost,:,ispecies) + fp(k,ivpx:ivpz) np_species(ix0-nghost,ispecies) = & np_species(ix0-nghost,ispecies) + 1.0 enddo do l=1,nx do ispecies=1,npar_species if (np_species(l,ispecies)>1.0) then vvpm_species(l,:,ispecies)=vvpm_species(l,:,ispecies)/np_species(l,ispecies) endif enddo enddo ! Calculate rms speed for each species. do k=k1_imn(imn),k2_imn(imn) ix0=ineargrid(k,1) ispecies=npar_species*(ipar(k)-1)/npar+1 vpm_species(ix0-nghost,ispecies) = & vpm_species(ix0-nghost,ispecies) + sqrt( & (fp(k,ivpx)-vvpm_species(ix0-nghost,1,ispecies))**2 + & (fp(k,ivpy)-vvpm_species(ix0-nghost,2,ispecies))**2 + & (fp(k,ivpz)-vvpm_species(ix0-nghost,3,ispecies))**2 ) enddo do l=1,nx do ispecies=1,npar_species if (np_species(l,ispecies)>1.0) then vpm_species(l,ispecies)=vpm_species(l,ispecies)/np_species(l,ispecies) endif enddo enddo ! ! Collisional drag force time-scale between particles i and j with R_i < R_j. ! ! tau_ji = tau_j^3/(tau_i+tau_j)^2/(deltav_ij/cs*rhoi/rhog) ! tau_ij = tau_ji*rho_j/rho_i ! do ispecies=1,npar_species; do jspecies=ispecies,npar_species vcoll= & sqrt(vpm_species(:,ispecies)**2+vpm_species(:,ispecies)**2 + & (vvpm_species(:,1,ispecies)-vvpm_species(:,1,jspecies))**2 + & (vvpm_species(:,2,ispecies)-vvpm_species(:,2,jspecies))**2 + & (vvpm_species(:,3,ispecies)-vvpm_species(:,3,jspecies))**2) call get_rhopswarm(mp_swarm,fp,k,m,n,rhop_swarm_mn) tau_coll1_species(:,jspecies,ispecies) = & vcoll*np_species(:,ispecies)*rhop_swarm_mn*p%rho1 / ( & tausp_species(jspecies)**3/ & (tausp_species(ispecies)+tausp_species(jspecies))**2 ) where (np_species(:,ispecies)/=0.0) & tau_coll1_species(:,ispecies,jspecies)= & tau_coll1_species(:,jspecies,ispecies)*np_species(:,jspecies)/np_species(:,ispecies) enddo; enddo ! tau_coll1_tot=0.0 do ispecies=1,npar_species; do jspecies=1,npar_species tau_coll1_tot(:,ispecies)=tau_coll1_tot(:,ispecies)+tau_coll1_species(:,ispecies,jspecies) enddo; enddo ! Limit inverse time-step of collisional cooling if requested. if (tau_coll_min>0.0) then do ispecies=1,npar_species; do l=1,nx if (tau_coll1_tot(l,ispecies) > tau_coll1_max) then tau_coll1_species(l,ispecies,:)=tau_coll1_species(l,ispecies,:)* & tau_coll1_max/tau_coll1_tot(l,ispecies) endif enddo; enddo tau_coll1_tot=0.0 do ispecies=1,npar_species; do jspecies=1,npar_species tau_coll1_tot(:,ispecies)=tau_coll1_tot(:,ispecies)+tau_coll1_species(:,ispecies,jspecies) enddo; enddo endif if (lfirst.and.ldt) then do ispecies=1,npar_species dt1_max=max(dt1_max,tau_coll1_tot(:,ispecies)/cdtp) enddo endif ! Add to equation of motion. do k=k1_imn(imn),k2_imn(imn) ix0=ineargrid(k,1) ispecies=npar_species*(ipar(k)-1)/npar+1 do jspecies=1,npar_species dfp(k,ivpx:ivpz) = dfp(k,ivpx:ivpz) - & tau_coll1_species(ix0-nghost,ispecies,jspecies)* & (fp(k,ivpx:ivpz)-vvpm_species(ix0-nghost,:,jspecies)) if (lcollisional_heat .or. ldiagnos) then call get_rhopswarm(mp_swarm,fp,k,ineargrid(k,:),rhop_swarm_par) coll_heat(ix0-nghost) = coll_heat(ix0-nghost) + & rhop_swarm_par* & tau_coll1_species(ix0-nghost,ispecies,jspecies)* & sum(fp(k,ivpx:ivpz)*(fp(k,ivpx:ivpz) - & vvpm_species(ix0-nghost,:,jspecies))) endif enddo enddo endif endif ! ! Heating of the gas due to dissipative collisions. ! if (lentropy .and. lcollisional_heat) & df(l1:l2,m,n,iss) = df(l1:l2,m,n,iss) + p%rho1*p%TT1*coll_heat ! ! Diagnostics. ! if (ldiagnos) then if (idiag_decollp/=0) & call sum_mn_name(coll_heat,idiag_decollp) endif ! endsubroutine collisional_cooling !*********************************************************************** subroutine calc_gas_velocity_shell_call(k1, uup, fp) ! use Special, only: special_calc_particles ! real, dimension (mpar_loc,mparray) :: fp real, dimension(3) :: uup integer :: k1 ! vel_call=.true. uup_shared=fp(k1,ixp:izp) ! call special_calc_particles(fp) uup=uup_shared ! endsubroutine calc_gas_velocity_shell_call !*********************************************************************** subroutine calculate_rms_speed(fp,ineargrid,p) ! use Diagnostics ! ! Calculate the rms speed dvpm=sqrt(<(vvp-)^2>) of the ! particle for diagnostic purposes ! ! 08-04-08/wlad: coded ! real, dimension (mpar_loc,mparray) :: fp integer, dimension (mpar_loc,3) :: ineargrid real,dimension(nx,3) :: vvpm,dvp2m integer :: inx0,k,l type (pencil_case) :: p ! ! Initialize the variables ! vvpm=0.0; dvp2m=0.0 ! ! Calculate the average velocity at each cell ! if there are particles in the pencil only ! if (npar_imn(imn)/=0) then ! do k=k1_imn(imn),k2_imn(imn) inx0=ineargrid(k,1)-nghost vvpm(inx0,:) = vvpm(inx0,:) + fp(k,ivpx:ivpz) enddo do l=1,nx if (p%np(l)>1.0) vvpm(l,:)=vvpm(l,:)/p%np(l) enddo ! ! Get the residual in quadrature, dvp2m. Need vvpm calculated above. ! do k=k1_imn(imn),k2_imn(imn) inx0=ineargrid(k,1)-nghost dvp2m(inx0,1)=dvp2m(inx0,1)+(fp(k,ivpx)-vvpm(inx0,1))**2 dvp2m(inx0,2)=dvp2m(inx0,2)+(fp(k,ivpy)-vvpm(inx0,2))**2 dvp2m(inx0,3)=dvp2m(inx0,3)+(fp(k,ivpz)-vvpm(inx0,3))**2 enddo do l=1,nx if (p%np(l)>1.0) dvp2m(l,:)=dvp2m(l,:)/p%np(l) enddo ! endif ! ! Output the diagnostics ! if (idiag_dvpx2m/=0) call sum_mn_name(dvp2m(:,1),idiag_dvpx2m) if (idiag_dvpy2m/=0) call sum_mn_name(dvp2m(:,2),idiag_dvpy2m) if (idiag_dvpz2m/=0) call sum_mn_name(dvp2m(:,3),idiag_dvpz2m) if (idiag_dvpm/=0) call sum_mn_name(dvp2m(:,1)+dvp2m(:,2)+dvp2m(:,3),& idiag_dvpm,lsqrt=.true.) if (idiag_dvpmax/=0) call max_mn_name(dvp2m(:,1)+dvp2m(:,2)+dvp2m(:,3),& idiag_dvpmax,lsqrt=.true.) ! endsubroutine calculate_rms_speed !*********************************************************************** subroutine calc_pencil_rep(fp,rep) ! ! Calculate particle Reynolds numbers ! ! 16-jul-08/kapelrud: coded ! use Viscosity, only: getnu ! real, dimension (mpar_loc,mparray) :: fp real,dimension(k1_imn(imn):k2_imn(imn)) :: rep,nu character (len=labellen) :: ivis='' intent(in) :: fp intent(inout) :: rep ! real :: nu_ integer :: k ! call getnu(nu_input=nu_,IVIS=ivis) if (ivis=='nu-const') then nu=nu_ elseif (ivis=='rho-nu-const') then nu=nu_/interp_rho(k1_imn(imn):k2_imn(imn)) elseif (ivis=='sqrtrho-nu-const') then nu=nu_/sqrt(interp_rho(k1_imn(imn):k2_imn(imn))) elseif (ivis=='nu-therm') then nu=nu_*sqrt(interp_TT(k1_imn(imn):k2_imn(imn))) elseif (ivis=='mu-therm') then nu=nu_*sqrt(interp_TT(k1_imn(imn):k2_imn(imn)))& /interp_rho(k1_imn(imn):k2_imn(imn)) else call fatal_error('calc_pencil_rep','No such ivis!') endif ! if (maxval(nu)==0.0) call fatal_error('calc_pencil_rep', 'nu (kinematic visc.) must be non-zero!') ! do k=k1_imn(imn),k2_imn(imn) rep(k) = 2.0 * sqrt(sum((interp_uu(k,:) - fp(k,ivpx:ivpz))**2)) / nu(k) enddo ! if (lparticles_radius) then rep = rep * fp(k1_imn(imn):k2_imn(imn),iap) elseif (particle_radius > 0.0) then rep = rep * particle_radius else call fatal_error('calc_pencil_rep', 'unable to calculate the particle Reynolds number without a particle radius. ') endif ! endsubroutine calc_pencil_rep !*********************************************************************** subroutine calc_stokes_cunningham(fp,stocunn) ! ! Calculate the Stokes-Cunningham factor ! ! 12-aug-08/kapelrud: coded ! use Particles_radius ! real, dimension (mpar_loc,mparray) :: fp real,dimension(k1_imn(imn):k2_imn(imn)) :: stocunn ! real :: dia integer :: k ! do k=k1_imn(imn),k2_imn(imn) ! ! Particle diameter ! dia=2.0*fp(k,iap) ! stocunn(k)=1.+2.*mean_free_path_gas/dia* & (1.257+0.4*exp(-0.55*dia/mean_free_path_gas)) ! enddo ! endsubroutine calc_stokes_cunningham !*********************************************************************** subroutine calc_draglaw_steadystate(fp,k,rep,stocunn,tausp1_par) ! ! Calculate relaxation time for particles under steady state drag. ! ! 15-jul-08/kapelrud: coded ! use Viscosity, only: getnu use Particles_radius ! real, dimension (mpar_loc,mparray) :: fp integer :: k real :: rep, stocunn, tausp1_par character (len=labellen) :: ivis='' ! intent(in) :: fp,k,rep,stocunn intent(out) :: tausp1_par ! real :: cdrag,dia,nu,nu_ ! ! Find the kinematic viscosity ! call getnu(nu_input=nu_,ivis=ivis) if (ivis=='nu-const') then nu=nu_ elseif (ivis=='rho-nu-const') then nu=nu_/interp_rho(k) elseif (ivis=='sqrtrho-nu-const') then nu=nu_/sqrt(interp_rho(k)) elseif (ivis=='nu-therm') then nu=nu_*sqrt(interp_TT(k)) elseif (ivis=='mu-therm') then nu=nu_*sqrt(interp_TT(k))& /interp_rho(k) else call fatal_error('calc_pencil_rep','No such ivis!') endif ! ! Particle diameter ! if (.not.lparticles_radius) then print*,'calc_draglaw_steadystate: need particles_radius module to '// & 'calculate the relaxation time!' call fatal_error('calc_draglaw_steadystate','') endif ! dia=2.0*fp(k,iap) ! ! Calculate drag coefficent pre-factor: ! if (rep<1) then cdrag=1.0 elseif (rep>1000) then cdrag=0.44*rep/24.0 else cdrag=(1.+0.15*rep**0.687) endif ! ! Relaxation time: ! tausp1_par=18.0*cdrag*nu/((rhopmat/interp_rho(k))*stocunn*dia**2) ! endsubroutine calc_draglaw_steadystate !*********************************************************************** subroutine calc_brownian_force(fp,k,ineark,stocunn,force) ! ! Calculate the Brownian force contribution due to the random thermal motions ! of the gas molecules. ! ! 28-jul-08/kapelrud: coded ! use General, only: normal_deviate use Viscosity, only: getnu ! real, dimension (mpar_loc,mparray) :: fp real, dimension(3), intent(out) :: force character (len=labellen) :: ivis='' integer, dimension(3) :: ineark integer :: k real :: stocunn, rhop_swarm_par ! intent(in) :: fp,k ! real :: Szero,dia,TT,nu,nu_ ! ! Find kinematic viscosity ! call getnu(nu_input=nu_,ivis=ivis) if (ivis=='nu-const') then nu=nu_ elseif (ivis=='rho-nu-const') then nu=nu_/interp_rho(k) elseif (ivis=='sqrtrho-nu-const') then nu=nu_/sqrt(interp_rho(k)) elseif (ivis=='nu-therm') then nu=nu_*sqrt(interp_TT(k)) elseif (ivis=='mu-therm') then nu=nu_*sqrt(interp_TT(k))& /interp_rho(k) else call fatal_error('calc_pencil_rep','No such ivis!') endif ! ! Particle diameter: ! dia=2.0*fp(k,iap) ! ! Get zero mean, unit variance Gaussian random numbers: ! call normal_deviate(force(1)) call normal_deviate(force(2)) call normal_deviate(force(3)) ! if (interp%lTT) then TT=interp_TT(k) else TT=brownian_T0 endif ! call get_rhopswarm(mp_swarm,fp,k,ineark,rhop_swarm_par) ! Szero=216*nu*k_B*TT*pi_1/ & (dia**5*stocunn*rhop_swarm_par**2/interp_rho(k)) ! if (dt==0.0) then force=0.0 else force=force*sqrt(Szero/dt) endif ! endsubroutine calc_brownian_force !*********************************************************************** subroutine remove_particles_sink_simple(f,fp,dfp,ineargrid) ! real, dimension (mx,my,mz,mfarray) :: f real, dimension (mpar_loc,mparray) :: fp real, dimension (mpar_loc,mpvar) :: dfp integer, dimension (mpar_loc,3) :: ineargrid ! call keep_compiler_quiet(f) call keep_compiler_quiet(fp) call keep_compiler_quiet(dfp) call keep_compiler_quiet(ineargrid) ! endsubroutine remove_particles_sink_simple !*********************************************************************** subroutine create_particles_sink_simple(f,fp,dfp,ineargrid) ! real, dimension (mx,my,mz,mfarray) :: f real, dimension (mpar_loc,mparray) :: fp real, dimension (mpar_loc,mpvar) :: dfp integer, dimension (mpar_loc,3) :: ineargrid ! call keep_compiler_quiet(f) call keep_compiler_quiet(fp) call keep_compiler_quiet(dfp) call keep_compiler_quiet(ineargrid) ! endsubroutine create_particles_sink_simple !*********************************************************************** subroutine read_particles_init_pars(iostat) ! use File_io, only: parallel_unit ! integer, intent(out) :: iostat ! read(parallel_unit, NML=particles_init_pars, IOSTAT=iostat) ! endsubroutine read_particles_init_pars !*********************************************************************** subroutine write_particles_init_pars(unit) ! integer, intent(in) :: unit ! write(unit, NML=particles_init_pars) ! endsubroutine write_particles_init_pars !*********************************************************************** subroutine read_particles_run_pars(iostat) ! use File_io, only: parallel_unit ! integer, intent(out) :: iostat ! read(parallel_unit, NML=particles_run_pars, IOSTAT=iostat) ! endsubroutine read_particles_run_pars !*********************************************************************** subroutine write_particles_run_pars(unit) ! integer, intent(in) :: unit ! write(unit, NML=particles_run_pars) ! endsubroutine write_particles_run_pars !*********************************************************************** subroutine powersnap_particles(f) ! ! Calculate power spectra of dust particle variables. ! ! 01-jan-06/anders: coded ! use Power_spectrum, only: power_1d ! real, dimension (mx,my,mz,mfarray) :: f ! if (lpar_spec) call power_1d(f,'p',0,irhop) ! endsubroutine powersnap_particles !*********************************************************************** subroutine rprint_particles(lreset,lwrite) ! ! Read and register print parameters relevant for particles. ! ! 29-dec-04/anders: coded ! use Diagnostics ! logical :: lreset logical, optional :: lwrite ! integer :: iname,inamez,inamey,inamex,inamexy,inamexz,inamer,inamerz ! ! Reset everything in case of reset. ! if (lreset) then idiag_xpm=0; idiag_ypm=0; idiag_zpm=0 idiag_xp2m=0; idiag_yp2m=0; idiag_zp2m=0; idiag_rpm=0; idiag_rp2m=0 idiag_vpxm=0; idiag_vpym=0; idiag_vpzm=0 idiag_vpxvpym=0; idiag_vpxvpzm=0; idiag_vpyvpzm=0 idiag_vpx2m=0; idiag_vpy2m=0; idiag_vpz2m=0; idiag_ekinp=0 idiag_vpxmax=0; idiag_vpymax=0; idiag_vpzmax=0; idiag_vpzmin=0 idiag_vpxmax=0 idiag_rhopvpxm=0; idiag_rhopvpym=0; idiag_rhopvpzm=0; idiag_rhopvpysm=0 idiag_rhopvpxt=0; idiag_rhopvpyt=0; idiag_rhopvpzt=0 idiag_lpxm=0; idiag_lpym=0; idiag_lpzm=0 idiag_lpx2m=0; idiag_lpy2m=0; idiag_lpz2m=0 idiag_npm=0; idiag_np2m=0; idiag_npmax=0; idiag_npmin=0 idiag_dtdragp=0; idiag_dedragp=0 idiag_rhopm=0; idiag_rhoprms=0; idiag_rhop2m=0; idiag_rhopmax=0 idiag_omegapm=0 idiag_rhopmin=0; idiag_decollp=0; idiag_rhopmphi=0 idiag_epspmin=0; idiag_epspmax=0 idiag_nparmin=0; idiag_nparmax=0; idiag_nmigmax=0; idiag_mpt=0 idiag_npmx=0; idiag_npmy=0; idiag_npmz=0; idiag_epotpm=0 idiag_rhopmx=0; idiag_rhopmy=0; idiag_rhopmz=0 idiag_epspmx=0; idiag_epspmy=0; idiag_epspmz=0 idiag_rhopmxy=0; idiag_rhopmxz=0; idiag_rhopmr=0 idiag_dvpx2m=0; idiag_dvpy2m=0; idiag_dvpz2m=0 idiag_dvpmax=0; idiag_dvpm=0; idiag_nparpmax=0 idiag_eccpxm=0; idiag_eccpym=0; idiag_eccpzm=0 idiag_eccpx2m=0; idiag_eccpy2m=0; idiag_eccpz2m=0 idiag_npargone=0; idiag_vpyfull2m=0; idiag_deshearbcsm=0 idiag_npmxy=0; idiag_vprms=0 endif ! ! Run through all possible names that may be listed in print.in. ! if (lroot .and. ip<14) print*,'rprint_particles: run through parse list' do iname=1,nname call parse_name(iname,cname(iname),cform(iname),'nparmin',idiag_nparmin) call parse_name(iname,cname(iname),cform(iname),'nparmax',idiag_nparmax) call parse_name(iname,cname(iname),cform(iname),'nparpmax',idiag_nparpmax) call parse_name(iname,cname(iname),cform(iname),'xpm',idiag_xpm) call parse_name(iname,cname(iname),cform(iname),'ypm',idiag_ypm) call parse_name(iname,cname(iname),cform(iname),'zpm',idiag_zpm) call parse_name(iname,cname(iname),cform(iname),'omegapm',idiag_omegapm) call parse_name(iname,cname(iname),cform(iname),'xp2m',idiag_xp2m) call parse_name(iname,cname(iname),cform(iname),'yp2m',idiag_yp2m) call parse_name(iname,cname(iname),cform(iname),'zp2m',idiag_zp2m) call parse_name(iname,cname(iname),cform(iname),'rpm',idiag_rpm) call parse_name(iname,cname(iname),cform(iname),'rp2m',idiag_rp2m) call parse_name(iname,cname(iname),cform(iname),'vpxm',idiag_vpxm) call parse_name(iname,cname(iname),cform(iname),'vpym',idiag_vpym) call parse_name(iname,cname(iname),cform(iname),'vpzm',idiag_vpzm) call parse_name(iname,cname(iname),cform(iname),'vpxvpym',idiag_vpxvpym) call parse_name(iname,cname(iname),cform(iname),'vpxvpzm',idiag_vpxvpzm) call parse_name(iname,cname(iname),cform(iname),'vpyvpzm',idiag_vpyvpzm) call parse_name(iname,cname(iname),cform(iname),'vpx2m',idiag_vpx2m) call parse_name(iname,cname(iname),cform(iname),'vpy2m',idiag_vpy2m) call parse_name(iname,cname(iname),cform(iname),'vpz2m',idiag_vpz2m) call parse_name(iname,cname(iname),cform(iname),'ekinp',idiag_ekinp) call parse_name(iname,cname(iname),cform(iname),'vpxmax',idiag_vpxmax) call parse_name(iname,cname(iname),cform(iname),'vpymax',idiag_vpymax) call parse_name(iname,cname(iname),cform(iname),'vpzmax',idiag_vpzmax) call parse_name(iname,cname(iname),cform(iname),'vpzmin',idiag_vpzmin) call parse_name(iname,cname(iname),cform(iname),'vpmax',idiag_vpmax) call parse_name(iname,cname(iname),cform(iname),'rhopvpxm', & idiag_rhopvpxm) call parse_name(iname,cname(iname),cform(iname),'rhopvpym', & idiag_rhopvpym) call parse_name(iname,cname(iname),cform(iname),'rhopvpzm', & idiag_rhopvpzm) call parse_name(iname,cname(iname),cform(iname),'rhopvpysm', & idiag_rhopvpysm) call parse_name(iname,cname(iname),cform(iname),'rhopvpxt', & idiag_rhopvpxt) call parse_name(iname,cname(iname),cform(iname),'rhopvpyt', & idiag_rhopvpyt) call parse_name(iname,cname(iname),cform(iname),'rhopvpzt', & idiag_rhopvpzt) call parse_name(iname,cname(iname),cform(iname),'rhopvpysm', & idiag_rhopvpysm) call parse_name(iname,cname(iname),cform(iname),'lpxm',idiag_lpxm) call parse_name(iname,cname(iname),cform(iname),'lpym',idiag_lpym) call parse_name(iname,cname(iname),cform(iname),'lpzm',idiag_lpzm) call parse_name(iname,cname(iname),cform(iname),'lpx2m',idiag_lpx2m) call parse_name(iname,cname(iname),cform(iname),'lpy2m',idiag_lpy2m) call parse_name(iname,cname(iname),cform(iname),'lpz2m',idiag_lpz2m) call parse_name(iname,cname(iname),cform(iname),'eccpxm',idiag_eccpxm) call parse_name(iname,cname(iname),cform(iname),'eccpym',idiag_eccpym) call parse_name(iname,cname(iname),cform(iname),'eccpzm',idiag_eccpzm) call parse_name(iname,cname(iname),cform(iname),'eccpx2m',idiag_eccpx2m) call parse_name(iname,cname(iname),cform(iname),'eccpy2m',idiag_eccpy2m) call parse_name(iname,cname(iname),cform(iname),'eccpz2m',idiag_eccpz2m) call parse_name(iname,cname(iname),cform(iname),'dtdragp',idiag_dtdragp) call parse_name(iname,cname(iname),cform(iname),'npm',idiag_npm) call parse_name(iname,cname(iname),cform(iname),'np2m',idiag_np2m) call parse_name(iname,cname(iname),cform(iname),'npmax',idiag_npmax) call parse_name(iname,cname(iname),cform(iname),'npmin',idiag_npmin) call parse_name(iname,cname(iname),cform(iname),'rhopm',idiag_rhopm) call parse_name(iname,cname(iname),cform(iname),'rhoprms',idiag_rhoprms) call parse_name(iname,cname(iname),cform(iname),'rhop2m',idiag_rhop2m) call parse_name(iname,cname(iname),cform(iname),'rhopmin',idiag_rhopmin) call parse_name(iname,cname(iname),cform(iname),'rhopmax',idiag_rhopmax) call parse_name(iname,cname(iname),cform(iname),'epspmin',idiag_epspmin) call parse_name(iname,cname(iname),cform(iname),'epspmax',idiag_epspmax) call parse_name(iname,cname(iname),cform(iname),'rhopmphi',idiag_rhopmphi) call parse_name(iname,cname(iname),cform(iname),'nmigmax',idiag_nmigmax) call parse_name(iname,cname(iname),cform(iname),'mpt',idiag_mpt) call parse_name(iname,cname(iname),cform(iname),'dvpx2m',idiag_dvpx2m) call parse_name(iname,cname(iname),cform(iname),'dvpy2m',idiag_dvpy2m) call parse_name(iname,cname(iname),cform(iname),'dvpz2m',idiag_dvpz2m) call parse_name(iname,cname(iname),cform(iname),'dvpm',idiag_dvpm) call parse_name(iname,cname(iname),cform(iname),'dvpmax',idiag_dvpmax) call parse_name(iname,cname(iname),cform(iname), & 'dedragp',idiag_dedragp) call parse_name(iname,cname(iname),cform(iname), & 'decollp',idiag_decollp) call parse_name(iname,cname(iname),cform(iname), & 'epotpm',idiag_epotpm) call parse_name(iname,cname(iname),cform(iname), & 'npargone',idiag_npargone) call parse_name(iname,cname(iname),cform(iname), & 'vpyfull2m',idiag_vpyfull2m) call parse_name(iname,cname(iname),cform(iname),'vprms',idiag_vprms) call parse_name(iname,cname(iname),cform(iname), & 'deshearbcsm',idiag_deshearbcsm) enddo ! ! Check for those quantities for which we want x-averages. ! do inamex=1,nnamex call parse_name(inamex,cnamex(inamex),cformx(inamex),'npmx',idiag_npmx) call parse_name(inamex,cnamex(inamex),cformx(inamex),'rhopmx',idiag_rhopmx) call parse_name(inamex,cnamex(inamex),cformx(inamex),'epspmx',idiag_epspmx) enddo ! ! Check for those quantities for which we want y-averages. ! do inamey=1,nnamey call parse_name(inamey,cnamey(inamey),cformy(inamey),'npmy',idiag_npmy) call parse_name(inamey,cnamey(inamey),cformy(inamey),'rhopmy',idiag_npmy) call parse_name(inamey,cnamey(inamey),cformy(inamey),'epspmy',idiag_epspmy) enddo ! ! Check for those quantities for which we want z-averages. ! do inamez=1,nnamez call parse_name(inamez,cnamez(inamez),cformz(inamez),'npmz',idiag_npmz) call parse_name(inamez,cnamez(inamez),cformz(inamez),'rhopmz',idiag_rhopmz) call parse_name(inamez,cnamez(inamez),cformz(inamez),'epspmz',idiag_epspmz) enddo ! ! Check for those quantities for which we want xy-averages. ! do inamexy=1,nnamexy call parse_name(inamexy,cnamexy(inamexy),cformxy(inamexy),'npmxy',idiag_npmxy) call parse_name(inamexy,cnamexy(inamexy),cformxy(inamexy),'rhopmxy',idiag_rhopmxy) enddo ! ! Check for those quantities for which we want xz-averages. ! do inamexz=1,nnamexz call parse_name(inamexz,cnamexz(inamexz),cformxz(inamexz),'rhopmxz',idiag_rhopmxz) enddo ! ! Check for those quantities for which we want phiz-averages. ! do inamer=1,nnamer call parse_name(inamer,cnamer(inamer),cformr(inamer),'rhopmr',idiag_rhopmr) enddo ! ! Check for those quantities for which we want phi-averages. ! do inamerz=1,nnamerz call parse_name(inamerz,cnamerz(inamerz),cformrz(inamerz),'rhopmphi',idiag_rhopmphi) enddo ! endsubroutine rprint_particles !*********************************************************************** subroutine periodic_boundcond_on_aux(f) ! ! dummy real, dimension(mx,my,mz,mfarray), intent(in) :: f ! call keep_compiler_quiet(f) ! endsubroutine periodic_boundcond_on_aux !*********************************************************************** subroutine omega_disper(f,fp,k,ineargrid,grad_omega,local_omega) ! use Sub, only: dot,dot2 use EquationOfState, only: ics !AXEL use Magnetic, only: get_bext ! real, dimension(mx,my,mz,mfarray) :: f real, dimension (mpar_loc,mparray) :: fp integer, dimension (mpar_loc,3) :: ineargrid integer :: ix0,iy0,iz0,ix1,iy1,iz1,k,ix,iy,iz real, dimension (2,2,2) :: box_omega real, dimension (3) :: grad_omega,kvec !,bb_ext real :: local_omega,grav=1. real :: udotk,Bdotk,B2,cs2,k2,kperp2,vA2,cms2,om_ms2 real :: xdist,ydist,zdist,xdistmod,ydistmod,zdistmod ! intent (in) :: f, fp, ineargrid, k intent (out) :: grad_omega,local_omega ! ix0=ineargrid(k,1) iy0=ineargrid(k,2) iz0=ineargrid(k,3) xdist=fp(k,ixp)-x(ix0) ydist=fp(k,iyp)-y(iy0) zdist=fp(k,izp)-z(iz0) ! ix1=ix0+int(sign(1.,xdist)) iy1=iy0+int(sign(1.,ydist)) iz1=iz0+int(sign(1.,zdist)) ! kvec=fp(k,ivpx:ivpz) k2=kvec(1)**2+kvec(2)**2+kvec(3)**2 ! !AXEL if (lmagnetic) call get_bext(bb_ext) ! do iz=1,2 do iy=1,2 do ix=1,2 udotk=0. Bdotk=0. ! ! Compute omega. In the absence of an equation of state, we use ! the sound speed from a polytrope with cs2=(0.-z(iz+iz0-1))*grav. ! if (leos) then cs2=f(ix+ix0-1,iy+iy0-1,iz+iz0-1,ics)**2 else cs2=(0.-z(iz+iz0-1))*grav endif if(lhydro) call dot(f(ix+ix0-1,iy+iy0-1,iz+iz0-1,iux:iuz),kvec,udotk) if(lmagnetic) then !AXEL call dot(f(ix+ix0-1,iy+iy0-1,iz+iz0-1,ibx:ibz)+bb_ext,kvec,Bdotk) !AXEL call dot2(f(ix+ix0-1,iy+iy0-1,iz+iz0-1,ibx:ibz)+bb_ext,B2) call dot(f(ix+ix0-1,iy+iy0-1,iz+iz0-1,ibx:ibz),kvec,Bdotk) call dot2(f(ix+ix0-1,iy+iy0-1,iz+iz0-1,ibx:ibz),B2) vA2=B2/(mu0*exp(f(ix+ix0-1,iy+iy0-1,iz+iz0-1,ilnrho))) cms2=cs2+vA2 om_ms2=.5*k2*(cms2+sqrt((cs2-vA2)**2+4.*vA2*cs2*kperp2/(k2+tini))) else om_ms2=cs2*k2 endif box_omega(ix,iy,iz)=sqrt(om_ms2)+udotk enddo enddo enddo ! xdistmod=abs(xdist)*dx1grid(ix) ydistmod=abs(ydist)*dy1grid(iy) zdistmod=abs(zdist)*dz1grid(iz) local_omega=(1.-xdistmod)*(1.-ydistmod)*(1.-zdistmod)*box_omega(1,1,1) & +( xdistmod)*(1.-ydistmod)*(1.-zdistmod)*box_omega(2,1,1) & +(1.-xdistmod)*( ydistmod)*(1.-zdistmod)*box_omega(1,2,1) & +(1.-xdistmod)*(1.-ydistmod)*( zdistmod)*box_omega(1,1,2) & +( xdistmod)*( ydistmod)*(1.-zdistmod)*box_omega(2,2,1) & +(1.-xdistmod)*( ydistmod)*( zdistmod)*box_omega(1,2,2) & +( xdistmod)*(1.-ydistmod)*( zdistmod)*box_omega(2,1,2) & +( xdistmod)*( ydistmod)*( zdistmod)*box_omega(2,2,2) ! grad_omega(1)=(-(1.-ydistmod)*(1.-zdistmod)*box_omega(1,1,1) & +(1.-ydistmod)*(1.-zdistmod)*box_omega(2,1,1) & -( ydistmod)*(1.-zdistmod)*box_omega(1,2,1) & -(1.-ydistmod)*( zdistmod)*box_omega(1,1,2) & +( ydistmod)*(1.-zdistmod)*box_omega(2,2,1) & -( ydistmod)*( zdistmod)*box_omega(1,2,2) & +(1.-ydistmod)*( zdistmod)*box_omega(2,1,2) & +( ydistmod)*( zdistmod)*box_omega(2,2,2))*dx1grid(ix) ! grad_omega(2)=(-(1.-xdistmod)*(1.-zdistmod)*box_omega(1,1,1) & -( xdistmod)*(1.-zdistmod)*box_omega(2,1,1) & +(1.-xdistmod)*(1.-zdistmod)*box_omega(1,2,1) & -(1.-xdistmod)*( zdistmod)*box_omega(1,1,2) & +( xdistmod)*(1.-zdistmod)*box_omega(2,2,1) & +(1.-xdistmod)*( zdistmod)*box_omega(1,2,2) & -( xdistmod)*( zdistmod)*box_omega(2,1,2) & +( xdistmod)*( zdistmod)*box_omega(2,2,2))*dy1grid(iy) ! grad_omega(3)=(-(1.-xdistmod)*(1.-ydistmod)*box_omega(1,1,1) & -( xdistmod)*(1.-ydistmod)*box_omega(2,1,1) & -(1.-xdistmod)*( ydistmod)*box_omega(1,2,1) & +(1.-xdistmod)*(1.-ydistmod)*box_omega(1,1,2) & -( xdistmod)*( ydistmod)*box_omega(2,2,1) & +(1.-xdistmod)*( ydistmod)*box_omega(1,2,2) & +( xdistmod)*(1.-ydistmod)*box_omega(2,1,2) & +( xdistmod)*( ydistmod)*box_omega(2,2,2))*dz1grid(iz) ! endsubroutine omega_disper !*********************************************************************** endmodule Particles