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+ /*@@
+ @file SourceData.F90
+ @date
+ @author Gabrielle Allen
+ @desc
+ Elliptic initial data for wave equation
+
+ Originally written in F77 fixed format. Converted to F90
+ free format by Peter Diener.
+ @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)
+
+! Find static field for a uniformly charge sphere
+!
+! That is, solve Nabla^2 phi = - 4 pi rho
+! where rho = Q/(4/3 * Pi * R^3)
+! 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
+
+! 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
+
+
+! 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)
+
+ phi = 0.0d0
+ Mcoeff = 0.0d0
+
+ where ( r <= radius )
+ Ncoeff = charge_factor
+ elsewhere
+ Ncoeff = 0.0d0
+ end where
+
+! 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
+
+! 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")
+
+! 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)
+
+! 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
+
+! Set up last timestep ... assume (first order) time symmetry
+
+ phi_p = phi
+
+! Output exact solution if required
+
+ if (output_tmp .eq. 1) then
+
+ where ( r .ge. radius )
+ temp = charge / r
+ elsewhere
+ temp = charge/(2.0d0*radius**3)*(3.0d0*radius**2-r**2)
+ end where
+
+ call CCTK_OutputVarAsByMethod(ierr,cctkGH, &
+ "idscalarwaveelliptic::temp", &
+ "IOASCII_1D","phi_exact")
+ end if
+
+ return
+end