! $Id$
!***************************************************************
!** AUTOMATIC CPARAM.INC GENERATION ****************************
! Declare (for generation of cparam.inc) the number of f array
! variables and auxiliary variables added by this module
!
! CPARAM logical, parameter :: ltestfield = .true.
!
! MVAR CONTRIBUTION 0
! MAUX CONTRIBUTION 0
!
!***************************************************************
module Testfield
use Cparam
use Messages
implicit none
include 'testfield.h'
!
! Slice precalculation buffers
!
real, target, dimension (:,:,:), allocatable :: bb11_xy,bb11_xy2,bb11_xy3,bb11_xy4
real, target, dimension (:,:,:), allocatable :: bb11_xz,bb11_xz2,bb11_yz
real, target, dimension (:,:,:,:,:,:), allocatable :: bb11_r
!
! Define the EMF and the Test fields here
!
real, dimension (nx,3,njtest) :: Eipq,bpq,jpq
real, dimension (nx,3,3) :: atilde,alpha
real, dimension (nx,3,3,2) :: btilde,beta
!
! spherical bessel and legendre function for setting test fields and analysis
!
real, dimension(mx) :: j0r,n0r,dj0dr,dn0dr,atilde_denom1,btilde_denom1
real, dimension(my) :: P1,dP1_dtheta
! real, dimension(:,:), pointer :: geta_z
! real, dimension(:), pointer :: eta_z
real :: phase_testfield=.0
!
character (len=labellen), dimension(ninit) :: initaatest='zero'
! real, dimension (ninit) :: kx_aatest=1.,ky_aatest=1.,kz_aatest=1.
! real, dimension (ninit) :: phasex_aatest=0.,phasez_aatest=0.
real, dimension (ninit) :: amplaatest=0.
integer, dimension (njtest) :: nuxb=0
integer :: iE0=0
! input parameters
real, dimension(3) :: B_ext=(/0.,0.,0./)
real :: taainit=0.,daainit=0.,taainit_previous=0.
logical :: reinitialize_aatest=.false.
logical :: lsoca=.false.,lsoca_jxb=.true.,lset_bbtest2=.false.
logical :: luxb_as_aux=.false.,ljxb_as_aux=.false.,linit_aatest=.false.
logical :: lignore_uxbtestm=.false., lphase_adjust=.false.
character (len=labellen) :: itestfield='jzero-pzero'
real :: krtf=1.,krtf1=1.
real :: khtf=1.,khtf1=1.
real, dimension(nx) :: xtf
real, dimension(ny) :: ytf,csec
! real :: lin_testfield=0.,lam_testfield=0.,om_testfield=0.,delta_testfield=0.
! real :: delta_testfield_next=0., delta_testfield_time=0.
integer :: i1=1,i2=2,i3=3,i4=4,i5=5,i6=6,i7=7,i8=8,i9=9
integer :: naainit
real :: bamp=1.,bamp1=1.,bamp12=1.
namelist /testfield_init_pars/ &
B_ext,initaatest, &
amplaatest,&
luxb_as_aux,ljxb_as_aux
! run parameters
real :: etatest=0.,etatest1=0.
real :: tau_aatest=0.,tau1_aatest=0.
real :: ampl_fcont_aatest=1.
real, dimension(njtest) :: rescale_aatest=0.
logical :: ltestfield_taver=.false.
logical :: ltestfield_linear=.false.
logical :: llorentzforce_testfield=.false.
logical :: lforcing_cont_aatest=.false.
logical :: ltestfield_artifric=.false.
logical :: ltestfield_profile_eta_z=.false.
namelist /testfield_run_pars/ &
B_ext,reinitialize_aatest,lsoca,lsoca_jxb, &
lset_bbtest2,etatest,etatest1,itestfield,&
ltestfield_taver,llorentzforce_testfield, &
ltestfield_profile_eta_z, &
luxb_as_aux,ljxb_as_aux,lignore_uxbtestm, &
lforcing_cont_aatest,ampl_fcont_aatest, &
daainit,linit_aatest,bamp, &
rescale_aatest,tau_aatest
!
! other variables (needs to be consistent with reset list below)
!
integer :: idiag_E11xy=0 ! DIAG_DOC: $E_{11xy}$
integer :: idiag_E12xy=0 ! DIAG_DOC: $E_{12xy}$
integer :: idiag_E13xy=0 ! DIAG_DOC: $E_{13xy}$
integer :: idiag_E21xy=0 ! DIAG_DOC: $E_{21xy}$
integer :: idiag_E22xy=0 ! DIAG_DOC: $E_{22xy}$
integer :: idiag_E23xy=0 ! DIAG_DOC: $E_{23xy}$
integer :: idiag_E31xy=0 ! DIAG_DOC: $E_{31xy}$
integer :: idiag_E32xy=0 ! DIAG_DOC: $E_{32xy}$
integer :: idiag_E33xy=0 ! DIAG_DOC: $E_{33xy}$
integer :: idiag_E41xy=0 ! DIAG_DOC: $E_{41xy}$
integer :: idiag_E42xy=0 ! DIAG_DOC: $E_{42xy}$
integer :: idiag_E43xy=0 ! DIAG_DOC: $E_{43xy}$
integer :: idiag_E51xy=0 ! DIAG_DOC: $E_{51xy}$
integer :: idiag_E52xy=0 ! DIAG_DOC: $E_{52xy}$
integer :: idiag_E53xy=0 ! DIAG_DOC: $E_{53xy}$
integer :: idiag_E61xy=0 ! DIAG_DOC: $E_{61xy}$
integer :: idiag_E62xy=0 ! DIAG_DOC: $E_{62xy}$
integer :: idiag_E63xy=0 ! DIAG_DOC: $E_{63xy}$
integer :: idiag_E71xy=0 ! DIAG_DOC: $E_{71xy}$
integer :: idiag_E72xy=0 ! DIAG_DOC: $E_{72xy}$
integer :: idiag_E73xy=0 ! DIAG_DOC: $E_{73xy}$
integer :: idiag_E81xy=0 ! DIAG_DOC: $E_{81}$
integer :: idiag_E82xy=0 ! DIAG_DOC: $E_{82}$
integer :: idiag_E83xy=0 ! DIAG_DOC: $E_{83}$
integer :: idiag_E91xy=0 ! DIAG_DOC: $E_{91}$
integer :: idiag_E92xy=0 ! DIAG_DOC: $E_{92}$
integer :: idiag_E93xy=0 ! DIAG_DOC: $E_{93}$
! The 27 coefficients in blocks of 3
integer :: idiag_a11xy=0 ! DIAG_DOC: $\alpha_{11}$
integer :: idiag_a12xy=0 ! DIAG_DOC: $\alpha_{12}$
integer :: idiag_a13xy=0 ! DIAG_DOC: $\alpha_{13}$
integer :: idiag_a21xy=0 ! DIAG_DOC: $\alpha_{21}$
integer :: idiag_a22xy=0 ! DIAG_DOC: $\alpha_{22}$
integer :: idiag_a23xy=0 ! DIAG_DOC: $\alpha_{23}$
integer :: idiag_a31xy=0 ! DIAG_DOC: $\alpha_{31}$
integer :: idiag_a32xy=0 ! DIAG_DOC: $\alpha_{32}$
integer :: idiag_a33xy=0 ! DIAG_DOC: $\alpha_{33}$
!
integer :: idiag_b111xy=0 ! DIAG_DOC: $\b_{111}$
integer :: idiag_b121xy=0 ! DIAG_DOC: $\b_{121}$
integer :: idiag_b131xy=0 ! DIAG_DOC: $\b_{131}$
integer :: idiag_b211xy=0 ! DIAG_DOC: $\b_{211}$
integer :: idiag_b221xy=0 ! DIAG_DOC: $\b_{221}$
integer :: idiag_b231xy=0 ! DIAG_DOC: $\b_{231}$
integer :: idiag_b311xy=0 ! DIAG_DOC: $\b_{311}$
integer :: idiag_b321xy=0 ! DIAG_DOC: $\b_{321}$
integer :: idiag_b331xy=0 ! DIAG_DOC: $\b_{331}$
!
integer :: idiag_b112xy=0 ! DIAG_DOC: $\b_{112}$
integer :: idiag_b122xy=0 ! DIAG_DOC: $\b_{122}$
integer :: idiag_b132xy=0 ! DIAG_DOC: $\b_{132}$
integer :: idiag_b212xy=0 ! DIAG_DOC: $\b_{212}$
integer :: idiag_b222xy=0 ! DIAG_DOC: $\b_{222}$
integer :: idiag_b232xy=0 ! DIAG_DOC: $\b_{232}$
integer :: idiag_b312xy=0 ! DIAG_DOC: $\b_{312}$
integer :: idiag_b322xy=0 ! DIAG_DOC: $\b_{322}$
integer :: idiag_b332xy=0 ! DIAG_DOC: $\b_{332}$
integer :: ivid_bb11=0
!
! arrays for azimuthally averaged uxb and jxb
!
real, dimension (mx,my,3,njtest) :: uxbtestm,jxbtestm
contains
!***********************************************************************
subroutine register_testfield()
!
! Initialise variables which should know that we solve for the vector
! potential: iaatest, etc; increase nvar accordingly
!
! 3-jun-05/axel: adapted from register_magnetic
!
use Cdata
use FArrayManager
use Mpicomm
use Sub
!
! Register test field.
!
ntestfield = 3*njtest
call farray_register_pde('aatest',iaatest,array=ntestfield)
call farray_index_append('ntestfield',ntestfield)
!
! Set first and last index of test field
! Note: iaxtest, iaytest, and iaztest are initialized to the first test field.
! These values are used in this form in start, but later overwritten.
!
iaxtest=iaatest
iaytest=iaatest+1
iaztest=iaatest+2
iaztestpq=iaatest+ntestfield-1
!
! Identify version number.
!
if (lroot) call svn_id( &
"$Id$")
!
! Writing files for use with IDL
!
if (lroot) then
if (maux == 0) then
if (nvar < mvar) write(4,*) ',aatest $'
if (nvar == mvar) write(4,*) ',aatest'
else
write(4,*) ',aatest $'
endif
write(15,*) 'aatest = fltarr(mx,my,mz,ntestfield)*one'
endif
!
endsubroutine register_testfield
!***********************************************************************
subroutine initialize_testfield(f)
!
! Perform any post-parameter-read initialization
!
! 2-jun-05/axel: adapted from magnetic
!
use Cdata
use Mpicomm, only : stop_it
use FArrayManager
use SharedVariables, only : get_shared_variable
use Slices_methods, only: alloc_slice_buffers
!
real, dimension (mx,my,mz,mfarray) :: f
integer :: jtest, ierr
!
! Stop the code if we are not in spherical coordinates
!
if (.not.lspherical_coords) &
call stop_it('initialize_testfiled: testfield_meri works only in spherical coordinates')
!
! Precalculate etatest if 1/etatest (==etatest1) is given instead
!
if (etatest1/=0.) then
etatest=1./etatest1
endif
if (lroot) print*,'initialize_testfield: etatest=',etatest
!
! set cosine and sine function for setting test fields and analysis
!
j0r= sin(x)/x
n0r= -cos(x)/x
dj0dr= cos(x)/x - sin(x)/(x*x)
dn0dr= -sin(x)/x + cos(x)/(x*x)
P1 = cos(y)
dP1_dtheta = -sin(y)
atilde_denom1=j0r*dn0dr-n0r*dj0dr
btilde_denom1=dn0dr*j0r-dj0dr*n0r
!
! debug output
!
if (lroot.and.ip<14) then
print*,'j0r=',j0r
print*,'n0r',n0r
print*,'P1',P1
endif
!
! calculate inverse testfield amplitude (unless it is set to zero)
!
!REVISIT
if (bamp==0.) then
bamp1=1.
bamp12=1.
else
bamp1=1./bamp
bamp12=1./bamp**2
endif
!
! calculate iE0; set ltestfield_linear in specific cases
!
ltestfield_linear=.false.
if (lrun) then
select case (itestfield)
case ('j0-P1'); iE0=0
case ('SRSRC07'); iE0=0
case('harmonic')
xtf=krtf*(x(l1:l2)-x(l1))/Lx
if (krtf /= 0.) krtf1=Lx/krtf
ytf=khtf*y(m1:m2);
csec=1./sin(ytf)
if (khtf /= 0.) khtf1=1./khtf
case default
call fatal_error('initialize_testfield','undefined itestfield value')
endselect
endif
!REVISIT
!
! set to zero and then rescale the testfield
! (in future, could call something like init_aa_simple)
!
if (reinitialize_aatest) then
do jtest=1,njtest
iaxtest=iaatest+3*(jtest-1)
iaztest=iaxtest+2
f(:,:,:,iaxtest:iaztest)=rescale_aatest(jtest)*f(:,:,:,iaxtest:iaztest)
enddo
endif
!
! set lrescaling_testfield=T if linit_aatest=T
!
if (linit_aatest) then
lrescaling_testfield=.true.
endif
!
! Register an extra aux slot for uxb if requested (so uxb is written
! to snapshots and can be easily analyzed later). For this to work you
! must reserve enough auxiliary workspace by setting, for example,
! ! MAUX CONTRIBUTION 9
! in the beginning of your src/cparam.local file, *before* setting
! ncpus, nprocy, etc.
!
! After a reload, we need to rewrite index.pro, but the auxiliary
! arrays are already allocated and must not be allocated again.
!
if (luxb_as_aux) then
if (iuxbtest==0) then
call farray_register_auxiliary('uxb',iuxbtest,vector=3*njtest)
else
if (lroot) print*, 'initialize_testfield: iuxbtest = ', iuxbtest
call farray_index_append('iuxbtest',iuxbtest)
endif
endif
!
! possibility of using jxb as auxiliary array (is intended to be
! used in connection with testflow method)
!
if (ljxb_as_aux) then
if (ijxbtest==0) then
call farray_register_auxiliary('jxb',ijxbtest,vector=3*njtest)
else
if (lroot) print*, 'initialize_testfield: ijxbtest = ', ijxbtest
call farray_index_append('ijxbtest',ijxbtest)
endif
endif
if (ivid_bb11/=0) &
call alloc_slice_buffers(bb11_xy,bb11_xz,bb11_yz,bb11_xy2,bb11_xy3,bb11_xy4,bb11_xz2,bb11_xz2,bb11_r)
!
! write testfield information to a file (for convenient post-processing)
!
if (lroot) then
open(1,file=trim(datadir)//'/testfield_info.dat',STATUS='unknown')
write(1,'(a,i1)') 'lsoca=' ,merge(1,0,lsoca)
write(1,'(a,i1)') 'lsoca_jxb=' ,merge(1,0,lsoca_jxb)
write(1,'(3a)') "itestfield='",trim(itestfield)//"'"
close(1)
endif
!
endsubroutine initialize_testfield
!***********************************************************************
subroutine init_aatest(f)
!
! initialise testfield; called from start.f90
!
! 2-jun-05/axel: adapted from magnetic
!
use Cdata
use Mpicomm
use Initcond
use Sub
use InitialCondition, only: initial_condition_aatest
!
real, dimension (mx,my,mz,mfarray) :: f
integer :: j
!
do j=1,ninit
select case (initaatest(j))
case ('zero'); f(:,:,:,iaatest:iaatest+3*njtest-1)=0.
case ('nothing'); !(do nothing)
case default
!
! Catch unknown values
!
if (lroot) print*, 'init_aatest: check initaatest: ', trim(initaatest(j))
call stop_it("")
endselect
enddo
!
! Interface for user's own subroutine
!
if (linitial_condition) call initial_condition_aatest(f)
!
endsubroutine init_aatest
!***********************************************************************
subroutine pencil_criteria_testfield()
!
! All pencils that the Testfield module depends on are specified here.
!
! 26-jun-05/anders: adapted from magnetic
!
use Cdata
!
lpenc_requested(i_uu)=.true.
!
endsubroutine pencil_criteria_testfield
!***********************************************************************
subroutine pencil_interdep_testfield(lpencil_in)
!
! Interdependency among pencils from the Testfield module is specified here.
!
! 26-jun-05/anders: adapted from magnetic
!
use General, only: keep_compiler_quiet
!
logical, dimension(npencils) :: lpencil_in
!
call keep_compiler_quiet(lpencil_in)
!
endsubroutine pencil_interdep_testfield
!***********************************************************************
subroutine read_testfield_init_pars(iostat)
!
use File_io, only: parallel_unit
!
integer, intent(out) :: iostat
!
read(parallel_unit, NML=testfield_init_pars, IOSTAT=iostat)
!
endsubroutine read_testfield_init_pars
!***********************************************************************
subroutine write_testfield_init_pars(unit)
!
integer, intent(in) :: unit
!
write(unit, NML=testfield_init_pars)
!
endsubroutine write_testfield_init_pars
!***********************************************************************
subroutine read_testfield_run_pars(iostat)
!
use File_io, only: parallel_unit
!
integer, intent(out) :: iostat
!
read(parallel_unit, NML=testfield_run_pars, IOSTAT=iostat)
!
endsubroutine read_testfield_run_pars
!***********************************************************************
subroutine write_testfield_run_pars(unit)
!
integer, intent(in) :: unit
!
write(unit, NML=testfield_run_pars)
!
endsubroutine write_testfield_run_pars
!***********************************************************************
subroutine daatest_dt(f,df,p)
!
! testfield evolution:
!
! calculate da^(pq)/dt=Uxb^(pq)+uxB^(pq)+uxb-<uxb>+eta*del2A^(pq),
! where p=1,2 and q=1 (if B11-B21) and optionally q=2 (if B11-B22)
!
! also calculate corresponding Lorentz force in connection with
! testflow method
!
! 3-jun-05/axel: coded
! 16-mar-08/axel: Lorentz force added for testfield method
! 25-jan-09/axel: added Maxwell stress tensor calculation
!
use Cdata
use Diagnostics
use Hydro, only: uumxy,lcalc_uumeanxy
use Mpicomm, only: stop_it
use Sub
use Slices_methods, only: store_slices
!
real, dimension (mx,my,mz,mfarray) :: f
real, dimension (mx,my,mz,mvar) :: df
type (pencil_case) :: p
real, dimension (nx,3) :: uxB,B0test=0,bbtest
real, dimension (nx,3) :: uxbtest,duxbtest,jxbtest,djxbrtest,eetest
real, dimension (nx,3) :: J0test=0,jxB0rtest,J0xbrtest
real, dimension (nx,3,3,njtest) :: Mijpq
! real, dimension (nx,3,njtest) :: Eipq,bpq,jpq
real, dimension (nx,3) :: del2Atest,uufluct
real, dimension (nx,3) :: del2Atest2,graddiv_atest,aatest,jjtest,jxbrtest
real, dimension (nx,3,3) :: aijtest,bijtest,Mijtest
real, dimension (nx) :: jbpq,bpq2,Epq2,s2kzDF1,s2kzDF2,divatest,unity=1.,&
temp
integer :: jtest, j, jaatest, iuxtest, iuytest, iuztest
logical,save :: ltest_uxb=.false.,ltest_jxb=.false.
real, dimension(nx) :: diffus_eta
!
intent(in) :: f,p
intent(inout) :: df
!
! identify module and boundary conditions
!
if (headtt.or.ldebug) print*,'daatest_dt: SOLVE'
if (headtt) then
if (iaxtest /= 0) call identify_bcs('Axtest',iaxtest)
if (iaytest /= 0) call identify_bcs('Aytest',iaytest)
if (iaztest /= 0) call identify_bcs('Aztest',iaztest)
endif
!
! calculate uufluct=U-Umean
!
if (lcalc_uumeanxy) then
do j=1,3
uufluct(:,j)=p%uu(:,j)-uumxy(l1:l2,m,j)
enddo
else
uufluct=p%uu
endif
!
! do each of the 9 test fields at a time
! but exclude redundancies, e.g. if the averaged field lacks x extent.
! Note: the same block of lines occurs again further down in the file.
!
do jtest=1,njtest
iaxtest=iaatest+3*(jtest-1)
iaztest=iaxtest+2
!
! aatest
!
aatest=f(l1:l2,m,n,iaxtest:iaztest)
!
! aijtest
!
call gij(f,iaxtest,aijtest,1)
!
! bbtest
!
call curl_mn(aijtest,bbtest,aatest)
!
! bijtest,gradfiv_atest
!
call gij_etc(f,iaxtest,aatest,aijtest,bijtest,GRADDIV=graddiv_atest)
!
! jjtest
!
call curl_mn(bijtest,jjtest,bbtest)
!
! del2A
!
del2Atest=graddiv_atest-jjtest
!
! Select which testfield to use.
!
select case (itestfield)
case ('j0-P1'); call set_bbtest_j0_P1(B0test,jtest)
!
! Simplest test fields not obeying solenoidal condition from
! Table 1 of Schrinner et al. (2007)
!
case ('SRSRC07'); call set_bbtest_srsrc07(B0test,jtest)
case ('harmonic'); call set_bbtest_harmonic(B0test,jtest)
case ('B=0'); B0test=0.
case default
call fatal_error('daatest_dt','undefined itestfield value')
endselect
!
! add an external field, if present
!
if (B_ext(1)/=0.) B0test(:,1)=B0test(:,1)+B_ext(1)
if (B_ext(2)/=0.) B0test(:,2)=B0test(:,2)+B_ext(2)
if (B_ext(3)/=0.) B0test(:,3)=B0test(:,3)+B_ext(3)
!
! add diffusion
!
df(l1:l2,m,n,iaxtest:iaztest)=df(l1:l2,m,n,iaxtest:iaztest) &
+etatest*del2Atest
!
! Compute u=U-Ubar
!
call cross_mn(uufluct,B0test,uxB)
df(l1:l2,m,n,iaxtest:iaztest)=df(l1:l2,m,n,iaxtest:iaztest)+uxB
!
! Add non-SOCA terms:
! Use f-array for uxb (if space has been allocated for this) and
! if we don't test (i.e. if ltest_uxb=.false.).
!
if (.not.lsoca) then
call cross_mn(p%uu,bbtest,uxbtest)
!
! subtract average emf, unless we ignore the <uxb> term (lignore_uxbtestm=T)
!
if (lignore_uxbtestm) then
duxbtest(:,:)=uxbtest(:,:)
else
do j=1,3
duxbtest(:,j)=uxbtest(:,j)-uxbtestm(l1:l2,m,j,jtest)
enddo
endif
!
! add to advance test-field equation
!
df(l1:l2,m,n,iaxtest:iaztest)=df(l1:l2,m,n,iaxtest:iaztest)+duxbtest
endif
!
! calculate alpha, begin by calculating uxbtest (if not already done above)
!
if ((ldiagnos.or.l1davgfirst).and. &
(lsoca.or.ltest_uxb)) then
call cross_mn(p%uu,bbtest,uxbtest)
endif
bpq(:,:,jtest)=bbtest
Eipq(:,:,jtest)=uxbtest*bamp1
enddo
!
! diffusive time step, just take the max of diffus_eta (if existent)
! and whatever is calculated here
!
!DM check if the following is correct in spherical coordinates
if (lfirst.and.ldt) then
diffus_eta=etatest*dxyz_2
maxdiffus=max(maxdiffus,diffus_eta)
endif
!
! in the following block, we have already swapped the 4-6 entries with 7-9
! The g95 compiler doesn't like to see an index that is out of bounds,
! so prevent this warning by writing i3=3 and i4=4
!
if (ldiagnos) then
if (idiag_E11xy/=0) call zsum_mn_name_xy(Eipq(:,1,i1),idiag_E11xy)
if (idiag_E12xy/=0) call zsum_mn_name_xy(Eipq(:,2,i1),idiag_E12xy)
if (idiag_E13xy/=0) call zsum_mn_name_xy(Eipq(:,3,i1),idiag_E13xy)
if (idiag_E21xy/=0) call zsum_mn_name_xy(Eipq(:,1,i2),idiag_E21xy)
if (idiag_E22xy/=0) call zsum_mn_name_xy(Eipq(:,2,i2),idiag_E22xy)
if (idiag_E23xy/=0) call zsum_mn_name_xy(Eipq(:,3,i2),idiag_E23xy)
if (idiag_E31xy/=0) call zsum_mn_name_xy(Eipq(:,1,i3),idiag_E31xy)
if (idiag_E32xy/=0) call zsum_mn_name_xy(Eipq(:,2,i3),idiag_E32xy)
if (idiag_E33xy/=0) call zsum_mn_name_xy(Eipq(:,3,i3),idiag_E33xy)
if (idiag_E41xy/=0) call zsum_mn_name_xy(Eipq(:,1,i4),idiag_E41xy)
if (idiag_E42xy/=0) call zsum_mn_name_xy(Eipq(:,2,i4),idiag_E42xy)
if (idiag_E43xy/=0) call zsum_mn_name_xy(Eipq(:,3,i4),idiag_E43xy)
if (idiag_E51xy/=0) call zsum_mn_name_xy(Eipq(:,1,i5),idiag_E51xy)
if (idiag_E52xy/=0) call zsum_mn_name_xy(Eipq(:,2,i5),idiag_E52xy)
if (idiag_E53xy/=0) call zsum_mn_name_xy(Eipq(:,3,i5),idiag_E53xy)
if (idiag_E61xy/=0) call zsum_mn_name_xy(Eipq(:,1,i6),idiag_E61xy)
if (idiag_E62xy/=0) call zsum_mn_name_xy(Eipq(:,2,i6),idiag_E62xy)
if (idiag_E63xy/=0) call zsum_mn_name_xy(Eipq(:,3,i6),idiag_E63xy)
if (idiag_E71xy/=0) call zsum_mn_name_xy(Eipq(:,1,i7),idiag_E71xy)
if (idiag_E72xy/=0) call zsum_mn_name_xy(Eipq(:,2,i7),idiag_E72xy)
if (idiag_E73xy/=0) call zsum_mn_name_xy(Eipq(:,3,i7),idiag_E73xy)
if (idiag_E81xy/=0) call zsum_mn_name_xy(Eipq(:,1,i8),idiag_E81xy)
if (idiag_E82xy/=0) call zsum_mn_name_xy(Eipq(:,2,i8),idiag_E82xy)
if (idiag_E83xy/=0) call zsum_mn_name_xy(Eipq(:,3,i8),idiag_E83xy)
if (idiag_E91xy/=0) call zsum_mn_name_xy(Eipq(:,1,i9),idiag_E91xy)
if (idiag_E92xy/=0) call zsum_mn_name_xy(Eipq(:,2,i9),idiag_E92xy)
if (idiag_E93xy/=0) call zsum_mn_name_xy(Eipq(:,3,i9),idiag_E93xy)
!
! Invert the testfield equations here to get the transport coeffecients,
! in terms of the testfields and the calculated EMF.
! ( \tilde{a} (Schrinner et al 2007 ArXiv:astro-ph/0609752
! http://arxiv.org/abs/astro-ph/0609752
! see also notes in tex/notes/testfield/spherical.tex )
!
call invert_testfield_eqn
!
! Now calculate the (a,b) from tilde (a,b)
!
call get_ab_from_tildeab
endif
!
! write B-slices for output in wvid in run.f90
! Note: ix is the index with respect to array with ghost zones.
!
if (lvideo.and.lfirst.and.ivid_bb11/=0) &
call store_slices(bpq(:,:,1),bb11_xy,bb11_xz,bb11_yz,bb11_xy2,bb11_xy3,bb11_xy4,bb11_xz2)
!
endsubroutine daatest_dt
!***********************************************************************
subroutine invert_testfield_eqn
!
! Invert the testfield equations to get the 'tilde'-(a,b) in terms of
! EMF and testfields. For different choice of testfield different
! subroutines are called.
!
! dhruba+piyali:
!
select case (itestfield)
case ('j0-P1'); call invert_bbtest_j0_P1
case ('SRSRC07'); call invert_bbtest_srsrc07
case ('harmonic'); call invert_bbtest_harmonic
case ('B=0'); call fatal_error('invert_testfield_eqn','cannot invert for zero testfield')
case default
call fatal_error('invert_testfield_eqn','undefined itestfield value')
endselect
!
endsubroutine invert_testfield_eqn
!***********************************************************************
subroutine invert_bbtest_srsrc07
!
! Inversion for the testfield in Schrinner '07 paper.
!
! dhruba+piyali:
!
use Cdata
integer :: ivec
!
do ivec=1,3
! For the testfield (1,0,0)
atilde(:,ivec,1) = Eipq(:,ivec,i1)
! For the testfield (0,1,0)
atilde(:,ivec,2) = Eipq(:,ivec,i2)
! For the testfield (0,0,1)
atilde(:,ivec,3) = Eipq(:,ivec,i3)
! For the testfield (r,0,0)
do ix=1,nx
btilde(ix,ivec,1,1) = Eipq(ix,ivec,i4) - x(ix+3)*atilde(ix,ivec,1)
! For the testfield (0,r,0)
btilde(ix,ivec,2,1) = Eipq(ix,ivec,i5) - x(ix+3)*atilde(ix,ivec,2)
! For the testfield (0,0,r)
btilde(ix,ivec,3,1) = Eipq(ix,ivec,i6) - x(ix+3)*atilde(ix,ivec,3)
! For the testfield (theta,0,0)
btilde(ix,ivec,1,2) = x(ix+3)*(Eipq(ix,ivec,i7) - y(m)*atilde(ix,ivec,1))
! For the testfield (0,theta,0)
btilde(ix,ivec,2,2) = x(ix+3)*(Eipq(ix,ivec,i8) - y(m)*atilde(ix,ivec,2))
! For the testfield (0,0,theta)
btilde(ix,ivec,3,2) = x(ix+3)*(Eipq(ix,ivec,i9) - y(m)*atilde(ix,ivec,3))
enddo
enddo
!
endsubroutine invert_bbtest_srsrc07
!***********************************************************************
subroutine invert_bbtest_harmonic
!
! Inversion for the harmonic testfield in r and \theta.
!
! dhruba+piyali:
!
use Cdata
integer :: ivec
!
do ivec=1,3
atilde(:,ivec,1) = Eipq(:,ivec,i1)*cos(xtf)+&
Eipq(:,ivec,i2)*sin(xtf)
atilde(:,ivec,2) = Eipq(:,ivec,i3)*cos(xtf)+&
Eipq(:,ivec,i4)*sin(xtf)
atilde(:,ivec,3) = Eipq(:,ivec,i5)*cos(xtf)+&
Eipq(:,ivec,i6)*sin(xtf)
do ix=1,nx
btilde(ix,ivec,1,1) =krtf1*(-Eipq(ix,ivec,i1)*sin(xtf(ix))+&
Eipq(ix,ivec,i2)*cos(xtf(ix)))
btilde(ix,ivec,2,1) =krtf1*(-Eipq(ix,ivec,i3)*sin(xtf(ix))+&
Eipq(ix,ivec,i4)*cos(xtf(ix)))
btilde(ix,ivec,3,1) =krtf1*(-Eipq(ix,ivec,i5)*sin(xtf(ix))+&
Eipq(ix,ivec,i6)*cos(xtf(ix)))
btilde(ix,ivec,1,2) = khtf1*x(ix)*csec(m)*(atilde(ix,ivec,1)*&
cos(ytf(m))-Eipq(ix,ivec,i7))
btilde(ix,ivec,2,2) = khtf1*x(ix)*csec(m)*(atilde(ix,ivec,2)*&
cos(ytf(m))-Eipq(ix,ivec,i8))
btilde(ix,ivec,3,2) = khtf1*x(ix)*csec(m)*(atilde(ix,ivec,3)*&
cos(ytf(m))-Eipq(ix,ivec,i9))
enddo
enddo
!
endsubroutine invert_bbtest_harmonic
!***********************************************************************
subroutine invert_bbtest_j0_P1
use Cdata
!
! Inversion for the testfield for spherical bessel and legendre.
!
! dhruba+piyali:
!
integer :: ivec
!
call fatal_error('invert_bbtest_j0_P1','not coded yet')
! get inspiration from below
! temp=(dn0dr(l1:l2)*Eipq(:,1,i1)-dj0dr(l1:l2)*Eipq(:,1,i2))/(atilde_denom1(l1:l2))
! if (idiag_a11xy/=0) call zsum_mn_name_xy(temp,idiag_a11xy)
! temp=(dn0dr(l1:l2)*Eipq(:,2,i1)-dj0dr(l1:l2)*Eipq(:,2,i2))/(atilde_denom1(l1:l2))
! if (idiag_a21xy/=0) call zsum_mn_name_xy(temp,idiag_a21xy)
! temp=(dn0dr(l1:l2)*Eipq(:,3,i1)-dj0dr(l1:l2)*Eipq(:,3,i2))/(atilde_denom1(l1:l2))
! if (idiag_a31xy/=0) call zsum_mn_name_xy(temp,idiag_a31xy)
! \tilde{b}
! temp=(n0r(l1:l2)*Eipq(:,1,i1)-j0r(l1:l2)*Eipq(:,1,i2))/(btilde_denom1(l1:l2))
! if (idiag_b111xy/=0) call zsum_mn_name_xy(temp,idiag_b111xy)
! temp=(n0r(l1:l2)*Eipq(:,2,i1)-j0r(l1:l2)*Eipq(:,2,i2))/(btilde_denom1(l1:l2))
! if (idiag_b211xy/=0) call zsum_mn_name_xy(temp,idiag_b211xy)
! temp=(n0r(l1:l2)*Eipq(:,3,i1)-j0r(l1:l2)*Eipq(:,3,i2))/(btilde_denom1(l1:l2))
! if (idiag_b311xy/=0) call zsum_mn_name_xy(temp,idiag_b311xy)
! endif
!
endsubroutine invert_bbtest_j0_P1
!***********************************************************************
subroutine get_ab_from_tildeab
use Cdata
!
! Get the a and b (alpha and beta in our notation) from the tilde (a,b)
! Eq. (16) page 6, Schrinner 2007 (Arxiv version)
!
! dhruba+piyali:
!
!
do ix=1, nx
alpha(ix,:,1) = atilde(ix,:,1) - btilde(ix,:,2,2)/x(ix+3)
alpha(ix,:,2) = atilde(ix,:,2) - btilde(ix,:,1,2)/x(ix+3)
enddo
alpha(:,:,3) = atilde(:,:,3)
beta = btilde
endsubroutine get_ab_from_tildeab
!***********************************************************************
subroutine get_slices_testfield(f,slices)
!
! Write slices for animation of magnetic variables.
!
! 12-sep-09/axel: adapted from the corresponding magnetic routine
!
use General, only: keep_compiler_quiet
use Slices_methods, only: assign_slices_vec
!
real, dimension (mx,my,mz,mfarray) :: f
type (slice_data) :: slices
!
! Loop over slices
!
select case (trim(slices%name))
!
! Magnetic field
!
case ('bb11')
call assign_slices_vec(slices,bb1_xy,bb1_xz,bb1_yz,bb1_xy2,bb1_xy3,bb1_xy4,bb1_xz2)
endselect
!
call keep_compiler_quiet(f)
!
endsubroutine get_slices_testfield
!***********************************************************************
subroutine testfield_before_boundary(f)
!
! Actions to take before boundary conditions are set.
!
! 4-oct-18/axel+nishant: adapted from testflow
!
real, dimension (mx,my,mz,mfarray), intent(inout) :: f
!
call keep_compiler_quiet(f)
!
endsubroutine testfield_before_boundary
!***********************************************************************
subroutine testfield_after_boundary(f,p)
!
! calculate <uxb>, which is needed when lsoca=.false.
!
! 21-jan-06/axel: coded
!
use Cdata
use Sub
use Hydro, only: uumxy,lcalc_uumeanxy
use Mpicomm, only: mpiallreduce_sum
!
real, dimension (mx,my,mz,mfarray) :: f
type (pencil_case) :: p
!
real, dimension (mx,my,3) :: uxbtestm_temp,jxbtestm_temp
!
real, dimension (nx,3,3) :: aijtest,bijtest
real, dimension (nx,3) :: aatest,bbtest,jjtest,uxbtest,jxbtest,uu,uufluct
real, dimension (nx,3) :: del2Atest2,graddiv_atest
integer :: jtest,j,juxb,jjxb
logical :: headtt_save
real :: fac
!
intent(inout) :: f
!
! In this routine we will reset headtt after the first pencil,
! so we need to reset it afterwards.
!
headtt_save=headtt
fac=1./nzgrid
!
! do each of the 9 test fields at a time
! but exclude redundancies, e.g. if the averaged field lacks x extent.
! Note: the same block of lines occurs again further up in the file.
!
do jtest=1,njtest
iaxtest=iaatest+3*(jtest-1)
iaztest=iaxtest+2
uxbtestm(:,:,:,jtest) = 0.
jxbtestm(:,:,:,jtest)=0.
if (.not.lsoca) then
!
do m=m1,m2
do n=n1,n2
aatest=f(l1:l2,m,n,iaxtest:iaztest)
call gij(f,iaxtest,aijtest,1)
call curl_mn(aijtest,bbtest,aatest)
!
! Subtract the mean flow from uu.
! This does not matter for the calculation of <Ubar x b>, which
! is zero, but for Ubar x b, if it is saved in the f array.
!
! uu=f(l1:l2,m,n,iux:iuz)
!
uu=f(l1:l2,m,n,iux:iuz)
if (lcalc_uumeanxy) then
do j=1,3
uufluct(:,j)=uu(:,j)-uumxy(l1:l2,m,j)
enddo
else
uufluct=uu
endif
call cross_mn(uufluct,bbtest,uxbtest)
juxb=iuxbtest+3*(jtest-1)
if (iuxbtest/=0) f(l1:l2,m,n,juxb:juxb+2)=uxbtest
do j=1,3
uxbtestm_temp(l1:l2,m,j)=uxbtestm_temp(l1:l2,m,j)+fac*uxbtest(:,jtest)
enddo
if (.not.lsoca_jxb) then
call gij_etc(f,iaxtest,aatest,aijtest,bijtest,GRADDIV=graddiv_atest)
call curl_mn(bijtest,jjtest,bbtest)
call cross_mn(jjtest,bbtest,jxbtest)
jjxb=ijxbtest+3*(jtest-1)
if (ijxbtest/=0) f(l1:l2,m,n,jjxb:jjxb+2)=jxbtest
do j=1,3
jxbtestm_temp(l1:l2,m,j)=jxbtestm_temp(l1:l2,m,j)+fac*jxbtest(:,jtest)
enddo
endif
enddo
enddo
!
! do communication in the z (or phi) direction
!
if (nprocz>1) then
call mpiallreduce_sum(uxbtestm_temp,uxbtestm(:,:,:,jtest),(/mx,my,3/),idir=3)
if (.not.lsoca_jxb) &
call mpiallreduce_sum(jxbtestm_temp,jxbtestm(:,:,:,jtest),(/mx,my,3/),idir=3)
endif
!
endif
enddo
!
! reset headtt
!
headtt=headtt_save
!
endsubroutine testfield_after_boundary
!***********************************************************************
subroutine rescaling_testfield(f)
!
! Rescale testfield by factor rescale_aatest(jtest),
! which could be different for different testfields
!
! 18-may-08/axel: rewrite from rescaling as used in magnetic
!
use Cdata
use Sub
!
real, dimension (mx,my,mz,mfarray) :: f
character (len=fnlen) :: file
logical :: ltestfield_out
logical, save :: lfirst_call=.true.
integer :: j,jtest
!
intent(inout) :: f
!
! reinitialize aatest periodically if requested
!
if (linit_aatest) then
file=trim(datadir)//'/tinit_aatest.dat'
if (lfirst_call) then
call read_snaptime(trim(file),taainit,naainit,daainit,t)
if (taainit==0 .or. taainit < t-daainit) then
taainit=t+daainit
endif
lfirst_call=.false.
endif
!
! Do only one xy plane at a time (for cache efficiency)
! Also: reset nuxb=0, which is used for time-averaged testfields
! Do this for the full nuxb array.
!
if (t >= taainit) then
if (ltestfield_taver) nuxb=0
do jtest=1,njtest
iaxtest=iaatest+3*(jtest-1)
iaztest=iaxtest+2
do j=iaxtest,iaztest
do n=n1,n2
f(l1:l2,m1:m2,n,j)=rescale_aatest(jtest)*f(l1:l2,m1:m2,n,j)
enddo
enddo
enddo
call update_snaptime(file,taainit,naainit,daainit,t,ltestfield_out)
endif
endif
!
endsubroutine rescaling_testfield
!***********************************************************************
subroutine set_bbtest_j0_P1(B0test,jtest)
!
! set testfield
!
! 3-jun-05/axel: coded
!
use Cdata
!
real, dimension (nx,3) :: B0test
integer :: jtest
!
intent(in) :: jtest
intent(out) :: B0test
!
! set B0test for each of the 9 cases
!
select case (jtest)
case (1); B0test(:,1)=bamp*j0r(l1:l2); B0test(:,2)=0.; B0test(:,3)=0.
case (2); B0test(:,1)=bamp*n0r(l1:l2); B0test(:,2)=0.; B0test(:,3)=0.
case (3); B0test(:,1)=bamp*P1(m); B0test(:,2)=0.; B0test(:,3)=0.
!
case (4); B0test(:,1)=0.; B0test(:,2)=bamp*j0r(l1:l2); B0test(:,3)=0.
case (5); B0test(:,1)=0.; B0test(:,2)=bamp*n0r(l1:l2); B0test(:,3)=0.
case (6); B0test(:,1)=0.; B0test(:,2)=bamp*P1(m); B0test(:,3)=0.
!
case (7); B0test(:,1)=0.; B0test(:,2)=0.; B0test(:,3)=bamp*j0r(l1:l2)
case (8); B0test(:,1)=0.; B0test(:,2)=0.; B0test(:,3)=bamp*n0r(l1:l2)
case (9); B0test(:,1)=0.; B0test(:,2)=0.; B0test(:,3)=bamp*P1(m)
case default; B0test(:,:)=0.
endselect
!
endsubroutine set_bbtest_j0_P1
!***********************************************************************
subroutine set_bbtest_srsrc07(B0test,jtest)
!
! set testfield
!
! 25-nov-10/piyali: copied set_bbtest_j0_P1 and modified according
! to Table.~1 of Schrinner et al. (2007)
!
use Cdata
!
real, dimension (nx,3) :: B0test
integer :: jtest
!
intent(in) :: jtest
intent(out) :: B0test
!
! set B0test for each of the 9 cases
!
select case (jtest)
case (1); B0test(:,1)=bamp; B0test(:,2)=0.; B0test(:,3)=0.
case (2); B0test(:,1)=0.; B0test(:,2)=bamp; B0test(:,3)=0.
case (3); B0test(:,1)=0.; B0test(:,2)=0.; B0test(:,3)=bamp
!
case (4); B0test(:,1)=bamp*x(l1:l2); B0test(:,2)=0.; B0test(:,3)=0.
case (5); B0test(:,1)=0.; B0test(:,2)=bamp*x(l1:l2); B0test(:,3)=0.
case (6); B0test(:,1)=0.; B0test(:,2)=0.; B0test(:,3)=bamp*x(l1:l2)
!
case (7); B0test(:,1)=bamp*y(m); B0test(:,2)=0.; B0test(:,3)=0.
case (8); B0test(:,1)=0.; B0test(:,2)=bamp*y(m); B0test(:,3)=0.
case (9); B0test(:,1)=0.; B0test(:,2)=0.; B0test(:,3)=bamp*y(m)
case default; B0test(:,:)=0.
endselect
!
endsubroutine set_bbtest_srsrc07
!***********************************************************************
subroutine set_bbtest_harmonic(B0test,jtest)
!
! set testfield
!
! 25-nov-05/piyali: copied set_bbtest_j0_P1 and modified according
! to Table.~1 of Schrinner et al. (2007)
!
use Cdata
!
real, dimension (nx,3) :: B0test
integer :: jtest
!
intent(in) :: jtest
intent(out) :: B0test
!
! set B0test for each of the 9 cases
!
select case (jtest)
case (1); B0test(:,1)=bamp*cos(xtf); B0test(:,2)=0.; B0test(:,3)=0.
case (2); B0test(:,1)=bamp*sin(xtf); B0test(:,2)=0.; B0test(:,3)=0.
case (3); B0test(:,1)=0.; B0test(:,2)=bamp*cos(xtf); B0test(:,3)=0.
case (4); B0test(:,1)=0.; B0test(:,2)=bamp*sin(xtf); B0test(:,3)=0.
case (5); B0test(:,1)=0.; B0test(:,2)=0.; B0test(:,3)=bamp*cos(xtf)
case (6); B0test(:,1)=0.; B0test(:,2)=0.; B0test(:,3)=bamp*sin(xtf)
case (7); B0test(:,1)=bamp*cos(ytf(m)); B0test(:,2)=0.; B0test(:,3)=0.
case (8); B0test(:,1)=0.; B0test(:,2)=bamp*cos(ytf(m)); B0test(:,3)=0.
case (9); B0test(:,1)=0.; B0test(:,2)=0.; B0test(:,3)=bamp*cos(ytf(m))
case default; B0test(:,:)=0.
endselect
!
endsubroutine set_bbtest_harmonic
!***********************************************************************
subroutine rprint_testfield(lreset,lwrite)
!
! reads and registers print parameters relevant for testfield fields
!
! 3-jun-05/axel: adapted from rprint_magnetic
!
use Cdata
use Diagnostics
!
integer :: iname,inamez
logical :: lreset
logical, optional :: lwrite
!
! reset everything in case of RELOAD
! (this needs to be consistent with what is defined above!)
!
if (lreset) then
!DM work here
ivid_bb11=0
endif
!
! check for those quantities that we want to evaluate online
!
do iname=1,nname
!DM work here
enddo
!
! check for those quantities for which we want xy-averages
!
do inamez=1,nnamez
!DM maybe nothing here
enddo
!
! check for those quantities for which we want video slices
!
if (lwrite_slices) then
do iname=1,nnamev
call parse_name(iname,cnamev(iname),cformv(iname),'bb11',ivid_bb11)
enddo
endif
!
endsubroutine rprint_testfield
endmodule Testfield