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- /*@@
- @file SourceData.F77
- @date
- @author Gabrielle Allen
- @desc
- Elliptic initial data for wave equation
- @enddesc
- @version $Header$
- @@*/
-
-#include "cctk.h"
-#include "cctk_Arguments.h"
-#include "cctk_Functions.h"
-#include "cctk_Parameters.h"
-
-#include "EllBase.h"
-
- subroutine UniformCharge(CCTK_ARGUMENTS)
-
-c Find static field for a uniformly charge sphere
-c
-c That is, solve Nabla^2 phi = - 4 pi rho
-c where rho = Q/(4/3 * Pi * R^3)
-c where Q is the total charge and R is the sphere radius
-
- implicit none
-
- DECLARE_CCTK_ARGUMENTS
- DECLARE_CCTK_PARAMETERS
- DECLARE_CCTK_FUNCTIONS
-
- CCTK_REAL pi
- CCTK_REAL AbsTol(3), RelTol(3)
- CCTK_REAL charge_factor
-
- integer iphi,iMcoeff,iNcoeff
- integer i,j,k,ierr
- CCTK_INT length
-
- character*30 fsolver
- character*200 infoline
-
-c Get variable indices for all grid functions
-
- call CCTK_VarIndex (iMcoeff, "idscalarwaveelliptic::Mcoeff")
- if (iMcoeff .lt. 0) then
- call CCTK_WARN(0,"Grid variable index for Mcoeff not found")
- end if
-
- call CCTK_VarIndex (iNcoeff, "idscalarwaveelliptic::Ncoeff")
- if (iNcoeff .lt. 0) then
- call CCTK_WARN(0,"Grid variable index for Ncoeff not found")
- end if
-
- call CCTK_VarIndex (iphi,"wavetoy::phi")
- if (iphi .lt. 0) then
- call CCTK_WARN(0,"Grid variable index for iphi not found")
- end if
-
-
-c Set up all coefficients and initial guess for solution
-
- pi = 4.0d0*atan(1.0d0)
- charge_factor = 4.0d0*pi*charge*3.0d0/(4.0d0*pi*radius**3)
-
- do k=1, cctk_lsh(3)
- do j=1, cctk_lsh(2)
- do i=1, cctk_lsh(1)
-
- phi(i,j,k) = 0.0d0
-
- Mcoeff(i,j,k) = 0.0d0
-
- if (r(i,j,k) .le. radius) then
- Ncoeff(i,j,k) = charge_factor
- else
- Ncoeff(i,j,k) = 0.0d0
- end if
-
- end do
- end do
- end do
-
-
-c Set tolerance for stopping elliptic solve
-
- AbsTol(1)=1.0d-5
- AbsTol(2)=1.0d-5
- AbsTol(3)=1.0d-5
-
- RelTol(1)=-1
- RelTol(2)=-1
- RelTol(3)=-1
-
-
-c Set any options needed for the elliptic solve
-
- call Ell_SetStrKey (ierr, "yes", "EllLinFlat::Bnd::Robin")
- call Ell_SetRealKey(ierr, 0.0d0, "EllLinFlat::Bnd::Robin::inf")
- call Ell_SetIntKey (ierr, 1, "EllLinFlat::Bnd::Robin::falloff")
-
-c Set parameters for specific solvers
- if (CCTK_EQUALS(solver,"sor")) then
- call Ell_SetIntKey(ierr, sor_maxit,"Ell::SORmaxit")
- end if
-
- call CCTK_FortranString(length,solver,fsolver)
- write(infoline,'("Going into elliptic solver ",A)') fsolver
- call CCTK_INFO(infoline)
-
-c Call elliptic solver to fill out phi
-
- call Ell_LinFlatSolver(
- & ierr,
- & cctkGH,
- & iphi,
- & iMcoeff, iNcoeff,
- & AbsTol, RelTol,
- & fsolver)
-
- if (ierr .eq. ELL_SUCCESS) then
- call CCTK_INFO("Leaving elliptic solver: solve successful")
- else if (ierr .eq. ELL_NOCONVERGENCE) then
- call CCTK_INFO("Leaving elliptic solver: solver failed to converge")
- else if (ierr .eq. ELL_NOSOLVER) then
- call CCTK_INFO("Elliptic solver not found")
- else
- write(infoline,'("Leaving elliptic solver: solve failed (Error ",I3,")")') ierr
- call CCTK_INFO(infoline)
- end if
-
-c Set up last timestep ... assume (first order) time symmetry
-
- do k=1, cctk_lsh(3)
- do j=1, cctk_lsh(2)
- do i=1, cctk_lsh(1)
-
- phi_p(i,j,k) = phi(i,j,k)
-
- end do
- end do
- end do
-
-
-c Output exact solution if required
-
- if (output_tmp .eq. 1) then
- do k=1, cctk_lsh(3)
- do j=1, cctk_lsh(2)
- do i=1, cctk_lsh(1)
-
- if (r(i,j,k) .ge. radius) then
- temp(i,j,k) = charge/r(i,j,k)
- else
- temp(i,j,k) = charge/(2.0d0*radius**3)*
- & (3.0d0*radius**2-r(i,j,k)**2)
- end if
-
- end do
- end do
- end do
-
- call CCTK_OutputVarAsByMethod(ierr,cctkGH,
- & "idscalarwaveelliptic::temp",
- & "IOASCII_1D","phi_exact")
- end if
-
- return
- end
-
-
-
-
-
-