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|
/*@@
@file Whisky_RegisterVars.c
@date Sat Jan 26 01:06:01 2002
@author The Whisky Developers
@desc
The routines for converting conservative to primitive variables.
@enddesc
@@*/
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
#include "cctk_Functions.h"
#include "SpaceMask.h"
module Con2Prim_fortran_interfaces
implicit none
interface
subroutine Con2Prim_pt(handle, &
dens, &
sx, sy, sz, &
tau, &
rho, &
velx, vely, velz, &
epsilon, press, &
w_lorentz, &
uxx, uxy, uxz, &
uyy, uyz, uzz, &
det, &
x, y, z, r, &
epsnegative, &
whisky_rho_min, pmin, epsmin, &
whisky_reflevel, whisky_C2P_failed)
implicit none
CCTK_INT handle
CCTK_REAL dens
CCTK_REAL sx, sy, sz
CCTK_REAL tau
CCTK_REAL rho
CCTK_REAL velx, vely, velz
CCTK_REAL epsilon, press
CCTK_REAL w_lorentz
CCTK_REAL uxx, uxy, uxz
CCTK_REAL uyy, uyz, uzz
CCTK_REAL det
CCTK_REAL x, y, z, r
logical epsnegative
CCTK_REAL whisky_rho_min, pmin, epsmin
CCTK_INT whisky_reflevel
CCTK_REAL whisky_C2P_failed
end subroutine Con2Prim_pt
subroutine Con2Prim_ptPolytype(whisky_polytrope_handle, &
dens, &
sx, sy, sz, &
tau, &
rho, &
velx, vely, velz, &
eps, press, &
w_lorentz, &
uxx, uxy, uxz, uyy, uyz, uzz, &
det, &
x, y, z, r, &
whisky_rho_min, &
whisky_reflevel, whisky_C2P_failed)
implicit none
CCTK_INT whisky_polytrope_handle
CCTK_REAL dens
CCTK_REAL sx, sy, sz
CCTK_REAL tau
CCTK_REAL rho
CCTK_REAL velx, vely, velz
CCTK_REAL eps, press
CCTK_REAL w_lorentz
CCTK_REAL uxx, uxy, uxz
CCTK_REAL uyy, uyz, uzz
CCTK_REAL det
CCTK_REAL x, y, z, r
CCTK_REAL whisky_rho_min
CCTK_INT whisky_reflevel
CCTK_REAL whisky_C2P_failed
end subroutine Con2Prim_ptPolytype
subroutine Con2Prim_ptTracer(cons_tracer, tracer, dens)
implicit none
CCTK_REAL cons_tracer, tracer, dens
end subroutine Con2Prim_ptTracer
subroutine Con2Prim_ptBoundsTracer(cons_tracer, tracer, rho, one_over_w_lorentz, det)
implicit none
CCTK_REAL cons_tracer, tracer, rho, one_over_w_lorentz, det
end subroutine Con2Prim_ptBoundsTracer
end interface
end module Con2Prim_fortran_interfaces
/*@@
@routine Conservative2Primitive
@date Sat Jan 26 01:08:33 2002
@author Ian Hawke
@desc
Wrapper routine that converts from conserved to primitive variables
at every grid cell centre.
@enddesc
@calls
@calledby
@history
Trimmed and altered from the GR3D routines, original author Mark Miller.
2007?: Bruno escluded the points in the atmosphere and excision region from the computation.
Aug. 2008: Luca added a check on whether a failure at a given point may be disregarded, because that point will then be restricted from a finer level.
This should be completely safe only if *regridding happens at times when all levels are evolved.*
Feb. 2009: The above procedure proved to be wrong, so Luca implemented another one. When a failure occurs, it is temporarily ignored, except for storing
the location of where it occured in a mask. At the end, after a Carpet restriction, the mask is checked and if it still contains failures, the run is
aborted with an error message. Only used routines have been updated to use this procedure.
@endhistory
@@*/
subroutine Conservative2Primitive(CCTK_ARGUMENTS)
use Con2Prim_fortran_interfaces
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
#ifdef _EOS_BASE_INC_
#undef _EOS_BASE_INC_
#endif
#include "EOS_Base.inc"
integer :: i, j, k, itracer, nx, ny, nz
CCTK_REAL :: uxx, uxy, uxz, uyy, uyz, uzz, det, psi4pt, pmin, epsmin
logical :: epsnegative
character(len=100) warnline
CCTK_INT :: type_bits, atmosphere
CCTK_INT :: type2_bits, excised
CCTK_REAL :: local_min_tracer
call SpaceMask_GetTypeBits(type_bits, "Hydro_Atmosphere")
call SpaceMask_GetStateBits(atmosphere, "Hydro_Atmosphere", "in_atmosphere")
type2_bits = -1
excised = -1
nx = cctk_lsh(1)
ny = cctk_lsh(2)
nz = cctk_lsh(3)
if (use_min_tracer .ne. 0) then
local_min_tracer = min_tracer
else
local_min_tracer = 0d0
end if
pmin = EOS_Pressure(whisky_polytrope_handle, whisky_rho_min, 1.0d0)
epsmin = EOS_SpecificIntEnergy(whisky_polytrope_handle, whisky_rho_min, pmin)
!!$ do k = whisky_stencil + 1, nz - whisky_stencil
!!$ do j = whisky_stencil + 1, ny - whisky_stencil
!!$ do i = whisky_stencil + 1, nx - whisky_stencil
do k = 1, nz
do j = 1, ny
do i = 1, nx
!do not compute if in atmosphere
if (SpaceMask_CheckStateBitsF90(space_mask, i, j, k, type_bits, atmosphere)) cycle
epsnegative = .false.
if (conformal_state .eq. 0) then
call SpatialDeterminant(gxx(i,j,k),gxy(i,j,k),gxz(i,j,k),&
gyy(i,j,k),gyz(i,j,k),gzz(i,j,k),det)
call UpperMetric(uxx,uxy,uxz,uyy,uyz,uzz,det,&
gxx(i,j,k),gxy(i,j,k),gxz(i,j,k),gyy(i,j,k),&
gyz(i,j,k),gzz(i,j,k))
else
psi4pt = psi(i,j,k)**4
call SpatialDeterminant(psi4pt*gxx(i,j,k),psi4pt*gxy(i,j,k),&
psi4pt*gxz(i,j,k),psi4pt*gyy(i,j,k),&
psi4pt*gyz(i,j,k),psi4pt*gzz(i,j,k),det)
call UpperMetric(uxx,uxy,uxz,uyy,uyz,uzz,det,&
psi4pt*gxx(i,j,k),psi4pt*gxy(i,j,k),psi4pt*gxz(i,j,k),&
psi4pt*gyy(i,j,k),psi4pt*gyz(i,j,k),psi4pt*gzz(i,j,k))
end if
!!$ if (det < 0.e0) then
!!$ call CCTK_WARN(0, "nan produced (det negative)")
!!$ end if
if (evolve_tracer .ne. 0) then
do itracer=1,number_of_tracers
call Con2Prim_ptTracer(cons_tracer(i,j,k,itracer), tracer(i,j,k,itracer), &
dens(i,j,k))
if (use_min_tracer .ne. 0) then
if (tracer(i,j,k,itracer) .le. local_min_tracer) then
tracer(i,j,k,itracer) = local_min_tracer
end if
end if
enddo
endif
if ( dens(i,j,k) .le. sqrt(det)*whisky_rho_min*(1.d0+whisky_atmo_tolerance) ) then
dens(i,j,k) = sqrt(det)*whisky_rho_min !/(1.d0+whisky_atmo_tolerance)
rho(i,j,k) = whisky_rho_min
scon(i,j,k,:) = 0.d0
vel(i,j,k,:) = 0.d0
w_lorentz(i,j,k) = 1.d0
press(i,j,k) = EOS_Pressure(whisky_polytrope_handle, rho(i,j,k), eps(i,j,k))
eps(i,j,k) = EOS_SpecificIntEnergy(whisky_polytrope_handle, rho(i,j,k), press(i,j,k))
! w_lorentz=1, so the expression for tau reduces to:
tau(i,j,k) = sqrt(det) * (rho(i,j,k)+rho(i,j,k)*eps(i,j,k)) - dens(i,j,k)
cycle
end if
call Con2Prim_pt(whisky_eos_handle, dens(i,j,k),scon(i,j,k,1),scon(i,j,k,2), &
scon(i,j,k,3),tau(i,j,k),rho(i,j,k),vel(i,j,k,1),vel(i,j,k,2), &
vel(i,j,k,3),eps(i,j,k),press(i,j,k),w_lorentz(i,j,k), &
uxx,uxy,uxz,uyy,uyz,uzz,det,x(i,j,k),y(i,j,k), &
z(i,j,k),r(i,j,k),epsnegative,whisky_rho_min,pmin, epsmin, whisky_reflevel, whisky_C2P_failed(i,j,k))
if (epsnegative) then
call Con2Prim_ptPolytype(whisky_polytrope_handle, &
dens(i,j,k), scon(i,j,k,1), scon(i,j,k,2), scon(i,j,k,3), &
tau(i,j,k), rho(i,j,k), vel(i,j,k,1), vel(i,j,k,2), &
vel(i,j,k,3), eps(i,j,k), press(i,j,k), w_lorentz(i,j,k), &
uxx, uxy, uxz, uyy, uyz, uzz, det, x(i,j,k), y(i,j,k), &
z(i,j,k), r(i,j,k),whisky_rho_min, whisky_reflevel, whisky_C2P_failed(i,j,k))
end if
if (eps(i,j,k) .lt. 0.0d0) then
whisky_C2P_failed(i,j,k) = 1
call CCTK_WARN(1, 'Specific internal energy just went below 0! ')
write(warnline,'(a28,i2)') 'on carpet reflevel: ',whisky_reflevel
call CCTK_WARN(1,warnline)
write(warnline,'(a20,3g16.7)') 'xyz location: ',&
x(i,j,k),y(i,j,k),z(i,j,k)
call CCTK_WARN(1,warnline)
write(warnline,'(a20,g16.7)') 'radius: ',r(i,j,k)
call CCTK_WARN(1,warnline)
call CCTK_WARN(1,"Setting the point to atmosphere")
! for safety, let's set the point to atmosphere
dens(i,j,k) = sqrt(det)*whisky_rho_min !/(1.d0+whisky_atmo_tolerance)
rho(i,j,k) = whisky_rho_min
scon(i,j,k,:) = 0.d0
vel(i,j,k,:) = 0.d0
w_lorentz(i,j,k) = 1.d0
press(i,j,k) = EOS_Pressure(whisky_polytrope_handle, rho(i,j,k), eps(i,j,k))
eps(i,j,k) = EOS_SpecificIntEnergy(whisky_polytrope_handle, rho(i,j,k), press(i,j,k))
! w_lorentz=1, so the expression for tau reduces to:
tau(i,j,k) = sqrt(det) * (rho(i,j,k)+rho(i,j,k)*eps(i,j,k)) - dens(i,j,k)
end if
end do
end do
end do
return
end subroutine Conservative2Primitive
/*@@
@routine Con2Prim_pt
@date Sat Jan 26 01:09:39 2002
@author The Whisky Develpoers
@desc
Given all the appropriate data, recover the primitive variables at
a single point.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine Con2Prim_pt(handle, dens, sx, sy, sz, tau, rho, velx, vely, &
velz, epsilon, press, w_lorentz, uxx, uxy, uxz, uyy, &
uyz, uzz, det, x, y, z, r, epsnegative, whisky_rho_min, pmin, epsmin, whisky_reflevel, whisky_C2P_failed)
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_REAL dens, sx, sy, sz, tau, rho, velx, vely, velz, epsilon, &
press, uxx, uxy, uxz, uyy, uyz, uzz, det, w_lorentz, x, &
y, z, r, whisky_rho_min
CCTK_REAL s2, c0, c1, c2, c3, c4, f, df, ftol, v2, w, vlowx, vlowy, vlowz
CCTK_INT count, i, handle, whisky_reflevel, whisky_C2P_failed
CCTK_REAL udens, usx, usy, usz, utau, pold, pnew, epsold, epsnew, w2, &
w2mhalf, temp1, drhobydpress, depsbydpress, dpressbydeps, dpressbydrho, pmin, epsmin
character(len=200) warnline
logical epsnegative
#ifdef _EOS_BASE_INC_
#undef _EOS_BASE_INC_
#endif
#include "EOS_Base.inc"
!!$ Undensitize the variables
udens = dens /sqrt(det)
usx = sx /sqrt(det)
usy = sy /sqrt(det)
usz = sz /sqrt(det)
utau = tau /sqrt(det)
s2 = usx*usx*uxx + usy*usy*uyy + usz*usz*uzz + 2.*usx*usy*uxy + &
2.*usx*usz*uxz + 2.*usy*usz*uyz
!!$ Set initial guess for pressure:
pold = max(1.d-10,EOS_Pressure(handle, rho, epsilon))
!!$ Check that the variables have a chance of being physical
if( (utau + pold + udens)**2 - s2 .le. 0.0d0) then
if (c2p_reset_pressure .ne. 0) then
pold = sqrt(s2 + c2p_reset_pressure_to_value) - utau - udens
else
whisky_C2P_failed = 1
endif
endif
!!$ Calculate rho and epsilon
!define temporary variables to speed up
rho = udens * sqrt( (utau + pold + udens)**2 - s2)/(utau + pold + udens)
w_lorentz = (utau + pold + udens) / sqrt( (utau + pold + udens)**2 - s2)
epsilon = (sqrt( (utau + pold + udens)**2 - s2) - pold * w_lorentz - &
udens)/udens
!!$ BEGIN: Check for NaN value (1st check)
if (rho .ne. rho) then
write(warnline,'(a70,7g15.6)') 'NaN produced in sqrt(): (utau, pold, udens, s2, x, y, z)', utau, pold, udens, s2, x, y, z
call CCTK_WARN(Whisky_NaN_verbose, warnline)
endif
!!$ END: Check for NaN value (1st check)
!!$ Calculate the function
f = pold - EOS_Pressure(handle, rho, epsilon)
!!$Find the root
count = 0
pnew = pold
do while ( ((abs(pnew - pold)/abs(pnew) .gt. whisky_perc_ptol) .and. &
(abs(pnew - pold) .gt. whisky_del_ptol)) .or. &
(count .lt. whisky_countmin))
count = count + 1
if (count > whisky_countmax) then
whisky_C2P_failed = 1
call CCTK_WARN(1, 'count > Whisky_countmax! ')
write(warnline,'(a28,i2)') 'on carpet reflevel: ',whisky_reflevel
call CCTK_WARN(1,warnline)
write(warnline,'(a20,3g16.7)') 'xyz location: ',x,y,z
call CCTK_WARN(1,warnline)
write(warnline,'(a20,g16.7)') 'radius: ',r
call CCTK_WARN(1,warnline)
call CCTK_WARN(1,"Setting the point to atmosphere")
! for safety, let's set the point to atmosphere
rho = whisky_rho_min
udens = rho
dens = sqrt(det) * rho
pnew = pmin
epsilon = epsmin
! w_lorentz=1, so the expression for utau reduces to:
utau = rho + rho*epsmin - udens
sx = 0.d0
sy = 0.d0
sz = 0.d0
s2 = 0.d0
usx = 0.d0
usy = 0.d0
usz = 0.d0
w_lorentz = 1.d0
goto 51
end if
dpressbydrho = EOS_DPressByDRho(handle,rho,epsilon)
dpressbydeps = EOS_DPressByDEps(handle,rho,epsilon)
temp1 = (utau+udens+pnew)**2 - s2
drhobydpress = udens * s2 / (sqrt(temp1)*(udens+utau+pnew)**2)
depsbydpress = pnew * s2 / (rho * (udens + utau + pnew) * temp1)
df = 1.0d0 - dpressbydrho*drhobydpress - &
dpressbydeps*depsbydpress
pold = pnew
pnew = max(pold - f/df, pmin)
!!$ Recalculate primitive variables and function
rho = udens * sqrt( (utau + pnew + udens)**2 - s2)/(utau + pnew + udens)
w_lorentz = (utau + pnew + udens) / sqrt( (utau + pnew + udens)**2 - &
s2)
epsilon = (sqrt( (utau + pnew + udens)**2 - s2) - pnew * w_lorentz - &
udens)/udens
f = pnew - EOS_Pressure(handle, rho, epsilon)
enddo
!!$ Polish the root
do i=1,whisky_polish
dpressbydrho = EOS_DPressByDRho(handle,rho,epsilon)
dpressbydeps = EOS_DPressByDEps(handle,rho,epsilon)
temp1 = (utau+udens+pnew)**2 - s2
drhobydpress = udens * s2 / (sqrt(temp1)*(udens+utau+pnew)**2)
depsbydpress = pnew * s2 / (rho * (udens + utau + pnew) * temp1)
df = 1.0d0 - dpressbydrho*drhobydpress - &
dpressbydeps*depsbydpress
pold = pnew
pnew = pold - f/df
!!$ Recalculate primitive variables and function
rho = udens * sqrt( (utau + pnew + udens)**2 - s2)/(utau + pnew + udens)
w_lorentz = (utau + pnew + udens) / sqrt( (utau + pnew + udens)**2 - &
s2)
epsilon = (sqrt( (utau + pnew + udens)**2 - s2) - pnew * w_lorentz - &
udens)/udens
f = pold - EOS_Pressure(handle, rho, epsilon)
enddo
!!$ BEGIN: Check for NaN value (2nd check)
if (rho .ne. rho) then
write(warnline,'(a70,7g15.6)') 'NaN produced in sqrt(): (utau, pold, udens, s2, x, y, z)', utau, pold, udens, s2, x, y, z
call CCTK_WARN(Whisky_NaN_verbose, warnline)
endif
!!$ END: Check for NaN value (2nd check)
!!$ Calculate primitive variables from root
if (rho .le. whisky_rho_min*(1.d0+whisky_atmo_tolerance) ) then
rho = whisky_rho_min
udens = rho
dens = sqrt(det) * rho
! epsilon = (sqrt( (utau + pnew + udens)**2) - pnew - udens)/udens
epsilon = epsmin
! w_lorentz=1, so the expression for utau reduces to:
utau = rho + rho*epsmin - udens
sx = 0.d0
sy = 0.d0
sz = 0.d0
s2 = 0.d0
usx = 0.d0
usy = 0.d0
usz = 0.d0
w_lorentz = 1.d0
end if
51 press = pnew
vlowx = usx / ( (rho + rho*epsilon + press) * w_lorentz**2)
vlowy = usy / ( (rho + rho*epsilon + press) * w_lorentz**2)
vlowz = usz / ( (rho + rho*epsilon + press) * w_lorentz**2)
velx = uxx * vlowx + uxy * vlowy + uxz * vlowz
vely = uxy * vlowx + uyy * vlowy + uyz * vlowz
velz = uxz * vlowx + uyz * vlowy + uzz * vlowz
!!$If all else fails, use the polytropic EoS
if(epsilon .lt. 0.0d0) then
epsnegative = .true.
endif
end subroutine Con2Prim_pt
/*@@
@routine Conservative2PrimitiveBoundaries
@date Tue Mar 12 18:04:40 2002
@author The Whisky Developers
@desc
This routine is used only if the reconstruction is performed on the conserved variables.
It computes the primitive variables on cell boundaries.
Since reconstruction on conservative had not proved to be very successful,
some of the improvements to the C2P routines (e.g. the check about
whether a failure happens in a point that will be restriced anyway) are not implemented here yet.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine Conservative2PrimitiveBounds(CCTK_ARGUMENTS)
use Con2Prim_fortran_interfaces
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
integer :: i, j, k, itracer, nx, ny, nz
CCTK_REAL :: uxxl, uxyl, uxzl, uyyl, uyzl, uzzl,&
uxxr, uxyr, uxzr, uyyr, uyzr, uzzr, pmin, epsmin
CCTK_REAL :: gxxl,gxyl,gxzl,gyyl,gyzl,gzzl,avg_detl,&
gxxr,gxyr,gxzr,gyyr,gyzr,gzzr,avg_detr,psi4r,psi4l
logical :: epsnegative
character(len=100) warnline
CCTK_INT :: type_bits, atmosphere
CCTK_INT :: type2_bits, excised
CCTK_REAL :: local_min_tracer
#ifdef _EOS_BASE_INC_
#undef _EOS_BASE_INC_
#endif
#include "EOS_Base.inc"
pmin=EOS_Pressure(whisky_polytrope_handle, whisky_rho_min, 1.0d0)
epsmin = EOS_SpecificIntEnergy(whisky_polytrope_handle, whisky_rho_min, pmin)
call SpaceMask_GetTypeBits(type_bits, "Hydro_Atmosphere")
call SpaceMask_GetStateBits(atmosphere, "Hydro_Atmosphere", "in_atmosphere")
type2_bits = -1
excised = -1
nx = cctk_lsh(1)
ny = cctk_lsh(2)
nz = cctk_lsh(3)
if (use_min_tracer .ne. 0) then
local_min_tracer = min_tracer
else
local_min_tracer = 0d0
end if
do k = whisky_stencil, nz - whisky_stencil + 1
do j = whisky_stencil, ny - whisky_stencil + 1
do i = whisky_stencil, nx - whisky_stencil + 1
!do not compute if in atmosphere
if (SpaceMask_CheckStateBitsF90(space_mask, i, j, k, type_bits, atmosphere)) cycle
gxxl = 0.5d0 * (gxx(i,j,k) + gxx(i-xoffset,j-yoffset,k-zoffset))
gxyl = 0.5d0 * (gxy(i,j,k) + gxy(i-xoffset,j-yoffset,k-zoffset))
gxzl = 0.5d0 * (gxz(i,j,k) + gxz(i-xoffset,j-yoffset,k-zoffset))
gyyl = 0.5d0 * (gyy(i,j,k) + gyy(i-xoffset,j-yoffset,k-zoffset))
gyzl = 0.5d0 * (gyz(i,j,k) + gyz(i-xoffset,j-yoffset,k-zoffset))
gzzl = 0.5d0 * (gzz(i,j,k) + gzz(i-xoffset,j-yoffset,k-zoffset))
gxxr = 0.5d0 * (gxx(i,j,k) + gxx(i+xoffset,j+yoffset,k+zoffset))
gxyr = 0.5d0 * (gxy(i,j,k) + gxy(i+xoffset,j+yoffset,k+zoffset))
gxzr = 0.5d0 * (gxz(i,j,k) + gxz(i+xoffset,j+yoffset,k+zoffset))
gyyr = 0.5d0 * (gyy(i,j,k) + gyy(i+xoffset,j+yoffset,k+zoffset))
gyzr = 0.5d0 * (gyz(i,j,k) + gyz(i+xoffset,j+yoffset,k+zoffset))
gzzr = 0.5d0 * (gzz(i,j,k) + gzz(i+xoffset,j+yoffset,k+zoffset))
epsnegative = .false.
if (conformal_state .eq. 0) then
call SpatialDeterminant(gxxl,gxyl,gxzl,gyyl, gyzl,gzzl,avg_detl)
call SpatialDeterminant(gxxr,gxyr,gxzr,gyyr, gyzr,gzzr,avg_detr)
call UpperMetric(uxxl,uxyl,uxzl,uyyl,uyzl,uzzl,avg_detl,&
gxxl,gxyl,gxzl,gyyl,gyzl,gzzl)
call UpperMetric(uxxr,uxyr,uxzr,uyyr,uyzr,uzzr,avg_detr,&
gxxr,gxyr,gxzr,gyyr,gyzr,gzzr)
else
psi4r = (0.5d0*(psi(i,j,k)+psi(i+xoffset,j+yoffset,k+zoffset)))**4
psi4l = (0.5d0*(psi(i,j,k)+psi(i-xoffset,j-yoffset,k-zoffset)))**4
call SpatialDeterminant(psi4l*gxxl,psi4l*gxyl,psi4l*gxzl,&
psi4l*gyyl,psi4l*gyzl,psi4l*gzzl,avg_detl)
call SpatialDeterminant(psi4r*gxxr,psi4r*gxyr,psi4r*gxzr,&
psi4r*gyyr,psi4r*gyzr,psi4r*gzzr,avg_detr)
call UpperMetric(uxxl,uxyl,uxzl,uyyl,uyzl,uzzl,avg_detl,&
psi4l*gxxl,psi4l*gxyl,psi4l*gxzl,psi4l*gyyl,psi4l*gyzl,&
psi4l*gzzl)
call UpperMetric(uxxr,uxyr,uxzr,uyyr,uyzr,uzzr,avg_detr,&
psi4r*gxxr,psi4r*gxyr,psi4r*gxzr,psi4r*gyyr,psi4r*gyzr,&
psi4r*gzzr)
end if
if (evolve_tracer .ne. 0) then
do itracer=1,number_of_tracers
call Con2Prim_ptTracer(cons_tracer(i,j,k,itracer), &
tracer(i,j,k,itracer), dens(i,j,k))
enddo
if (use_min_tracer .ne. 0) then
if (tracer(i,j,k,itracer) .le. local_min_tracer) then
tracer(i,j,k,itracer) = local_min_tracer
end if
end if
endif
call Con2Prim_pt(whisky_eos_handle, densminus(i,j,k),&
sxminus(i,j,k),syminus(i,j,k),szminus(i,j,k),&
tauminus(i,j,k),rhominus(i,j,k),velxminus(i,j,k),&
velyminus(i,j,k),velzminus(i,j,k),epsminus(i,j,k),&
pressminus(i,j,k),w_lorentzminus(i,j,k),&
uxxl,uxyl,uxzl,uyyl,uyzl,uzzl,avg_detl,&
x(i,j,k)-0.5d0*CCTK_DELTA_SPACE(1),&
y(i,j,k)-0.5d0*CCTK_DELTA_SPACE(2), &
z(i,j,k)-0.5d0*CCTK_DELTA_SPACE(3),r(i,j,k),&
epsnegative,whisky_rho_min,pmin, epsmin, whisky_reflevel, whisky_C2P_failed(i,j,k))
if (epsnegative) then
call Con2Prim_ptPolytype(whisky_polytrope_handle, densminus(i,j,k),&
sxminus(i,j,k),syminus(i,j,k),szminus(i,j,k),&
tauminus(i,j,k),rhominus(i,j,k),velxminus(i,j,k),&
velyminus(i,j,k),velzminus(i,j,k),epsminus(i,j,k),&
pressminus(i,j,k),w_lorentzminus(i,j,k),&
uxxl,uxyl,uxzl,uyyl,uyzl,uzzl,avg_detl,&
x(i,j,k)-0.5d0*CCTK_DELTA_SPACE(1),&
y(i,j,k)-0.5d0*CCTK_DELTA_SPACE(2), &
z(i,j,k)-0.5d0*CCTK_DELTA_SPACE(3),r(i,j,k),whisky_rho_min, whisky_reflevel, whisky_C2P_failed(i,j,k))
end if
if (epsminus(i,j,k) .lt. 0.0d0) then
if (whisky_reflevel.ge.whisky_c2p_warn_from_reflevel) then
call CCTK_WARN(1,'Con2Prim: stopping the code.')
call CCTK_WARN(1, ' specific internal energy just went below 0! ')
write(warnline,'(a28,i2)') 'on carpet reflevel: ',whisky_reflevel
call CCTK_WARN(1,warnline)
write(warnline,'(a20,3g16.7)') 'xyz location: ',&
x(i,j,k),y(i,j,k),z(i,j,k)
call CCTK_WARN(1,warnline)
write(warnline,'(a20,g16.7)') 'radius: ',r(i,j,k)
call CCTK_WARN(1,warnline)
write(warnline,'(a20,3g16.7)') 'velocities: ',&
velxminus(i,j,k),velyminus(i,j,k),velzminus(i,j,k)
call CCTK_WARN(1,warnline)
call CCTK_WARN(whisky_c2p_warnlevel, "Specific internal energy negative")
exit
endif
endif
epsnegative = .false.
call Con2Prim_pt(whisky_eos_handle, densplus(i,j,k),&
sxplus(i,j,k),syplus(i,j,k),szplus(i,j,k),&
tauplus(i,j,k),rhoplus(i,j,k),velxplus(i,j,k),&
velyplus(i,j,k),velzplus(i,j,k),epsplus(i,j,k),&
pressplus(i,j,k),w_lorentzplus(i,j,k),&
uxxr,uxyr,uxzr,uyyr,uyzr,uzzr,avg_detr,&
x(i,j,k)+0.5d0*CCTK_DELTA_SPACE(1),&
y(i,j,k)+0.5d0*CCTK_DELTA_SPACE(2), &
z(i,j,k)+0.5d0*CCTK_DELTA_SPACE(3),r(i,j,k),&
epsnegative,whisky_rho_min,pmin, epsmin, whisky_reflevel,whisky_C2P_failed(i,j,k))
if (epsnegative) then
call Con2Prim_ptPolytype(whisky_polytrope_handle, densplus(i,j,k),&
sxplus(i,j,k),syplus(i,j,k),szplus(i,j,k),&
tauplus(i,j,k),rhoplus(i,j,k),velxplus(i,j,k),&
velyplus(i,j,k),velzplus(i,j,k),epsplus(i,j,k),&
pressplus(i,j,k),w_lorentzplus(i,j,k),&
uxxr,uxyr,uxzr,uyyr,uyzr,uzzr,avg_detr,&
x(i,j,k)+0.5d0*CCTK_DELTA_SPACE(1),&
y(i,j,k)+0.5d0*CCTK_DELTA_SPACE(2), &
z(i,j,k)+0.5d0*CCTK_DELTA_SPACE(3),r(i,j,k),whisky_rho_min, whisky_reflevel, whisky_C2P_failed(i,j,k))
end if
if (epsplus(i,j,k) .lt. 0.0d0) then
if (whisky_reflevel.ge.whisky_c2p_warn_from_reflevel) then
call CCTK_WARN(1,'Con2Prim: stopping the code.')
call CCTK_WARN(1, ' specific internal energy just went below 0! ')
write(warnline,'(a28,i2)') 'on carpet reflevel: ',whisky_reflevel
call CCTK_WARN(1,warnline)
write(warnline,'(a20,3g16.7)') 'xyz location: ',&
x(i,j,k),y(i,j,k),z(i,j,k)
call CCTK_WARN(1,warnline)
write(warnline,'(a20,g16.7)') 'radius: ',r(i,j,k)
call CCTK_WARN(1,warnline)
write(warnline,'(a20,3g16.7)') 'velocities: ',&
velxplus(i,j,k),velyplus(i,j,k),velzplus(i,j,k)
call CCTK_WARN(1,warnline)
call CCTK_WARN(whisky_c2p_warnlevel, "Specific internal energy negative")
write(warnline,'(a25,4g15.6)') 'coordinates: x,y,z,r:',&
x(i,j,k),y(i,j,k),z(i,j,k),r(i,j,k)
call CCTK_WARN(1,warnline)
endif
endif
end do
end do
end do
end subroutine Conservative2PrimitiveBounds
/*@@
@routine Con2PrimPolytype
@date Tue Mar 19 11:43:06 2002
@author Ian Hawke
@desc
All routines below are identical to those above, just
specialised from polytropic type EOS.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine Conservative2PrimitivePolytype(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
integer :: i, j, k, itracer, nx, ny, nz
CCTK_REAL :: uxx, uxy, uxz, uyy, uyz, uzz, det, psi4pt
CCTK_INT :: type_bits, atmosphere
CCTK_INT :: type2_bits, excised
CCTK_REAL :: local_min_tracer
! character(len=400) :: warnline
call SpaceMask_GetTypeBits(type_bits, "Hydro_Atmosphere")
call SpaceMask_GetStateBits(atmosphere, "Hydro_Atmosphere", "in_atmosphere")
type2_bits = -1
excised = -1
nx = cctk_lsh(1)
ny = cctk_lsh(2)
nz = cctk_lsh(3)
if (use_min_tracer .ne. 0) then
local_min_tracer = min_tracer
else
local_min_tracer = 0d0
end if
!!$ do k = whisky_stencil + 1, nz - whisky_stencil
!!$ do j = whisky_stencil + 1, ny - whisky_stencil
!!$ do i = whisky_stencil + 1, nx - whisky_stencil
!$OMP PARALLEL DO PRIVATE(i,j,itracer,&
!$OMP uxx, uxy, uxz, uyy, uyz, uzz, det, psi4pt)
do k = 1, nz
do j = 1, ny
do i = 1, nx
!do not compute if in atmosphere
!or in an excised region
if (SpaceMask_CheckStateBitsF90(space_mask, i, j, k, type_bits, atmosphere)) cycle
if (conformal_state .eq. 0) then
call SpatialDeterminant(gxx(i,j,k),gxy(i,j,k),gxz(i,j,k),&
gyy(i,j,k),gyz(i,j,k),gzz(i,j,k),det)
call UpperMetric(uxx,uxy,uxz,uyy,uyz,uzz,det,&
gxx(i,j,k),gxy(i,j,k),gxz(i,j,k),gyy(i,j,k),&
gyz(i,j,k),gzz(i,j,k))
else
psi4pt = psi(i,j,k)**4
call SpatialDeterminant(psi4pt*gxx(i,j,k),psi4pt*gxy(i,j,k),&
psi4pt*gxz(i,j,k),psi4pt*gyy(i,j,k),&
psi4pt*gyz(i,j,k),psi4pt*gzz(i,j,k),det)
call UpperMetric(uxx,uxy,uxz,uyy,uyz,uzz,det,&
psi4pt*gxx(i,j,k),psi4pt*gxy(i,j,k),psi4pt*gxz(i,j,k),&
psi4pt*gyy(i,j,k),psi4pt*gyz(i,j,k),psi4pt*gzz(i,j,k))
end if
if (evolve_tracer .ne. 0) then
do itracer=1,number_of_tracers
call Con2Prim_ptTracer(cons_tracer(i,j,k,itracer), &
tracer(i,j,k,itracer), dens(i,j,k))
enddo
if (use_min_tracer .ne. 0) then
if (tracer(i,j,k,itracer) .le. local_min_tracer) then
tracer(i,j,k,itracer) = local_min_tracer
end if
end if
endif
call Con2Prim_ptPolytype(whisky_eos_handle, dens(i,j,k),&
scon(i,j,k,1),scon(i,j,k,2), &
scon(i,j,k,3),tau(i,j,k),rho(i,j,k),vel(i,j,k,1),vel(i,j,k,2), &
vel(i,j,k,3),eps(i,j,k),press(i,j,k),w_lorentz(i,j,k), &
uxx,uxy,uxz,uyy,uyz,uzz,det,x(i,j,k),y(i,j,k), &
z(i,j,k),r(i,j,k),whisky_rho_min, whisky_reflevel, whisky_C2P_failed(i,j,k))
end do
end do
end do
!$OMP END PARALLEL DO
return
end subroutine Conservative2PrimitivePolytype
/*@@
@routine Con2Prim_ptPolytype
@date Sat Jan 26 01:09:39 2002
@author The Whisky Developers
@desc
Given all the appropriate data, recover the primitive variables at
a single point.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine Con2Prim_ptPolytype(handle, dens, sx, sy, sz, tau, rho, &
velx, vely, velz, epsilon, press, w_lorentz, uxx, uxy, uxz, uyy, &
uyz, uzz, det, x, y, z, r, whisky_rho_min, whisky_reflevel, whisky_C2P_failed)
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_REAL dens, sx, sy, sz, tau, rho, velx, vely, velz, epsilon, &
press, uxx, uxy, uxz, uyy, uyz, uzz, det, w_lorentz, x, &
y, z, r, whisky_rho_min
CCTK_REAL s2, f, df, ftol, vlowx, vlowy, vlowz
CCTK_INT count, i, handle, whisky_reflevel, whisky_C2P_failed
CCTK_REAL udens, usx, usy, usz, rhoold, rhonew, epsold, epsnew, w2, &
w2mhalf, enthalpy, denthalpy
character(len=200) warnline
#ifdef _EOS_BASE_INC_
#undef _EOS_BASE_INC_
#endif
#include "EOS_Base.inc"
!!$ Undensitize the variables
udens = dens /sqrt(det)
usx = sx /sqrt(det)
usy = sy /sqrt(det)
usz = sz /sqrt(det)
s2 = usx*usx*uxx + usy*usy*uyy + usz*usz*uzz + 2.d0*usx*usy*uxy + &
2.d0*usx*usz*uxz + 2.d0*usy*usz*uyz
!!$ Set initial guess for rho:
rhoold = max(whisky_rho_min,rho)
enthalpy = 1.d0 + EOS_SpecificIntEnergy(handle, rhoold, press) + &
EOS_Pressure(handle, rhoold, epsilon) / rhoold
w_lorentz = sqrt(1.d0 + s2 / ( (udens*enthalpy)**2 ))
!!$ BEGIN: Check for NaN value (1st check)
if (w_lorentz .ne. w_lorentz) then
write(warnline,'(a70,8g15.6)') 'NaN produced in sqrt(): (dens, det, s2, udens, enthalpy, x, y, z)', dens, det, s2, udens, enthalpy, x, y, z
call CCTK_WARN(Whisky_NaN_verbose, warnline)
call CCTK_WARN(0, warnline)
endif
!!$ END: Check for NaN value (1st check)
press = EOS_Pressure(handle, rhoold, epsilon)
!!$ Calculate the function
f = rhoold * w_lorentz - udens
!!$Find the root
count = 0
rhonew = rhoold
do while ( ((abs(rhonew - rhoold)/abs(rhonew) .gt. whisky_perc_ptol) .and. &
(abs(rhonew - rhoold) .gt. whisky_del_ptol)) .or. &
(count .lt. whisky_countmin))
count = count + 1
if (count > whisky_countmax) then
whisky_C2P_failed = 1
call CCTK_WARN(1, 'count > Whisky_countmax! ')
write(warnline,'(a28,i2)') 'on carpet reflevel: ',whisky_reflevel
call CCTK_WARN(1,warnline)
write(warnline,'(a20,3g16.7)') 'xyz location: ',x,y,z
call CCTK_WARN(1,warnline)
write(warnline,'(a20,g16.7)') 'radius: ',r
call CCTK_WARN(1,warnline)
call CCTK_WARN(1,"Setting the point to atmosphere")
! for safety, let's set the point to atmosphere
rhonew = whisky_rho_min
udens = rhonew
dens = sqrt(det) * rhonew
press = EOS_Pressure(handle, rhonew, 1.d0)
epsilon = EOS_SpecificIntEnergy(handle, rhonew, press)
sx = 0.d0
sy = 0.d0
sz = 0.d0
s2 = 0.d0
usx = 0.d0
usy = 0.d0
usz = 0.d0
w_lorentz = 1.d0
goto 50
end if
!!$ Ian has the feeling that this is an error in general. But for the
!!$ 2D_Polytrope it gives the right answers.
denthalpy = EOS_DPressByDrho(handle, rhonew, epsilon) / rhonew
df = w_lorentz - rhonew * s2 * denthalpy / &
(w_lorentz*(udens**2)*(enthalpy**3))
rhoold = rhonew
rhonew = rhoold - f/df
!!$ Recalculate primitive variables and function
enthalpy = 1.d0 + EOS_SpecificIntEnergy(handle, rhonew, press) + &
EOS_Pressure(handle, rhonew, epsilon) / rhonew
w_lorentz = sqrt(1.d0 + s2 / ( (udens*enthalpy)**2 ))
press = EOS_Pressure(handle, rhonew, epsilon)
tau = sqrt(det) * ((rho * enthalpy) * w_lorentz**2 - press) - dens
f = rhonew * w_lorentz - udens
enddo
!!$ Calculate primitive variables from root
if (rhonew .le. whisky_rho_min*(1.d0+whisky_atmo_tolerance) ) then
rhonew = whisky_rho_min
udens = rhonew
! before 2009/10/07 dens was not reset and was used with its negative value below; this has since been changed, but the change produces significant changes in the results
dens = sqrt(det) * rhonew
press = EOS_Pressure(handle, rhonew, 1.d0)
epsilon = EOS_SpecificIntEnergy(handle, rhonew, press)
! w_lorentz=1, so the expression for utau reduces to:
tau = rhonew + rhonew*epsilon - udens
sx = 0.d0
sy = 0.d0
sz = 0.d0
s2 = 0.d0
usx = 0.d0
usy = 0.d0
usz = 0.d0
w_lorentz = 1.d0
end if
50 rho = rhonew
enthalpy = 1.d0 + EOS_SpecificIntEnergy(handle, rhonew, press) + &
EOS_Pressure(handle, rhonew, epsilon) / rhonew
w_lorentz = sqrt(1.d0 + s2 / ( (udens*enthalpy)**2 ))
!!$ BEGIN: Check for NaN value (2nd check)
if (w_lorentz .ne. w_lorentz) then
write(warnline,'(a70,6g15.6)') 'NaN produced in sqrt(): (s2, udens, enthalpy, x, y, z)', s2, udens, enthalpy, x, y, z
call CCTK_WARN(Whisky_NaN_verbose, warnline)
endif
!!$ END: Check for NaN value (2nd check)
press = EOS_Pressure(handle, rhonew, epsilon)
epsilon = EOS_SpecificIntEnergy(handle, rhonew, press)
tau = sqrt(det) * ((rho * enthalpy) * w_lorentz**2 - press) - dens
if (epsilon .lt. 0.0d0) then
whisky_C2P_failed = 1
call CCTK_WARN(1, 'epsilon < 0! ')
write(warnline,'(a28,i2)') 'on carpet reflevel: ',whisky_reflevel
call CCTK_WARN(1,warnline)
write(warnline,'(a20,3g16.7)') 'xyz location: ',x,y,z
call CCTK_WARN(1,warnline)
write(warnline,'(a20,g16.7)') 'radius: ',r
call CCTK_WARN(1,warnline)
call CCTK_WARN(1,"Setting the point to atmosphere")
rho = whisky_rho_min
dens = sqrt(det) * rho
press = EOS_Pressure(handle, rhonew, 1.d0)
epsilon = EOS_SpecificIntEnergy(handle, rhonew, press)
! w_lorentz=1, so the expression for tau reduces to:
tau = sqrt(det) * (rho+rho*epsilon) - dens
usx = 0.d0
usy = 0.d0
usz = 0.d0
w_lorentz = 1.d0
end if
vlowx = usx / ( (rho + rho*epsilon + press) * w_lorentz**2)
vlowy = usy / ( (rho + rho*epsilon + press) * w_lorentz**2)
vlowz = usz / ( (rho + rho*epsilon + press) * w_lorentz**2)
velx = uxx * vlowx + uxy * vlowy + uxz * vlowz
vely = uxy * vlowx + uyy * vlowy + uyz * vlowz
velz = uxz * vlowx + uyz * vlowy + uzz * vlowz
return
end subroutine Con2Prim_ptPolytype
/*@@
@routine Cons2PrimBoundsPolytype
@date Tue Mar 12 18:04:40 2002
@author The Whisky Developers
@desc
This routine is used only if the reconstruction is performed on the conserved variables.
It computes the primitive variables on cell boundaries.
Since reconstruction on conservative had not proved to be very successful,
some of the improvements to the C2P routines (e.g. the check about
whether a failure happens in a point that will be restriced anyway) are not implemented here yet.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine Con2PrimBoundsPolytype(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
integer :: i, j, k, nx, ny, nz
CCTK_REAL :: uxxl, uxyl, uxzl, uyyl, uyzl, uzzl,&
uxxr, uxyr, uxzr, uyyr, uyzr, uzzr
CCTK_REAL :: gxxl,gxyl,gxzl,gyyl,gyzl,gzzl,avg_detl,&
gxxr,gxyr,gxzr,gyyr,gyzr,gzzr,avg_detr,psi4r,psi4l
CCTK_INT :: type_bits, atmosphere
CCTK_INT :: type2_bits, excised
call SpaceMask_GetTypeBits(type_bits, "Hydro_Atmosphere")
call SpaceMask_GetStateBits(atmosphere, "Hydro_Atmosphere", "in_atmosphere")
type2_bits = -1
excised = -1
nx = cctk_lsh(1)
ny = cctk_lsh(2)
nz = cctk_lsh(3)
do k = whisky_stencil, nz - whisky_stencil + 1
do j = whisky_stencil, ny - whisky_stencil + 1
do i = whisky_stencil, nx - whisky_stencil + 1
!do not compute if in atmosphere
if (SpaceMask_CheckStateBitsF90(space_mask, i, j, k, type_bits, atmosphere)) cycle
gxxl = 0.5d0 * (gxx(i,j,k) + gxx(i-xoffset,j-yoffset,k-zoffset))
gxyl = 0.5d0 * (gxy(i,j,k) + gxy(i-xoffset,j-yoffset,k-zoffset))
gxzl = 0.5d0 * (gxz(i,j,k) + gxz(i-xoffset,j-yoffset,k-zoffset))
gyyl = 0.5d0 * (gyy(i,j,k) + gyy(i-xoffset,j-yoffset,k-zoffset))
gyzl = 0.5d0 * (gyz(i,j,k) + gyz(i-xoffset,j-yoffset,k-zoffset))
gzzl = 0.5d0 * (gzz(i,j,k) + gzz(i-xoffset,j-yoffset,k-zoffset))
gxxr = 0.5d0 * (gxx(i,j,k) + gxx(i+xoffset,j+yoffset,k+zoffset))
gxyr = 0.5d0 * (gxy(i,j,k) + gxy(i+xoffset,j+yoffset,k+zoffset))
gxzr = 0.5d0 * (gxz(i,j,k) + gxz(i+xoffset,j+yoffset,k+zoffset))
gyyr = 0.5d0 * (gyy(i,j,k) + gyy(i+xoffset,j+yoffset,k+zoffset))
gyzr = 0.5d0 * (gyz(i,j,k) + gyz(i+xoffset,j+yoffset,k+zoffset))
gzzr = 0.5d0 * (gzz(i,j,k) + gzz(i+xoffset,j+yoffset,k+zoffset))
if (conformal_state .eq. 0) then
call SpatialDeterminant(gxxl,gxyl,gxzl,gyyl, gyzl,gzzl,avg_detl)
call SpatialDeterminant(gxxr,gxyr,gxzr,gyyr, gyzr,gzzr,avg_detr)
call UpperMetric(uxxl,uxyl,uxzl,uyyl,uyzl,uzzl,avg_detl,&
gxxl,gxyl,gxzl,gyyl,gyzl,gzzl)
call UpperMetric(uxxr,uxyr,uxzr,uyyr,uyzr,uzzr,avg_detr,&
gxxr,gxyr,gxzr,gyyr,gyzr,gzzr)
else
psi4r = (0.5d0*(psi(i,j,k)+psi(i+xoffset,j+yoffset,k+zoffset)))**4
psi4l = (0.5d0*(psi(i,j,k)+psi(i-xoffset,j-yoffset,k-zoffset)))**4
call SpatialDeterminant(psi4l*gxxl,psi4l*gxyl,psi4l*gxzl,&
psi4l*gyyl,psi4l*gyzl,psi4l*gzzl,avg_detl)
call SpatialDeterminant(psi4r*gxxr,psi4r*gxyr,psi4r*gxzr,&
psi4r*gyyr,psi4r*gyzr,psi4r*gzzr,avg_detr)
call UpperMetric(uxxl,uxyl,uxzl,uyyl,uyzl,uzzl,avg_detl,&
psi4l*gxxl,psi4l*gxyl,psi4l*gxzl,psi4l*gyyl,psi4l*gyzl,&
psi4l*gzzl)
call UpperMetric(uxxr,uxyr,uxzr,uyyr,uyzr,uzzr,avg_detr,&
psi4r*gxxr,psi4r*gxyr,psi4r*gxzr,psi4r*gyyr,psi4r*gyzr,&
psi4r*gzzr)
end if
call Con2Prim_ptPolytype(whisky_eos_handle, densminus(i,j,k),&
sxminus(i,j,k),syminus(i,j,k),szminus(i,j,k),&
tauminus(i,j,k),rhominus(i,j,k),velxminus(i,j,k),&
velyminus(i,j,k),velzminus(i,j,k),epsminus(i,j,k),&
pressminus(i,j,k),w_lorentzminus(i,j,k),&
uxxl,uxyl,uxzl,uyyl,uyzl,uzzl,avg_detl,&
x(i,j,k)-0.5d0*CCTK_DELTA_SPACE(1),&
y(i,j,k)-0.5d0*CCTK_DELTA_SPACE(2), &
z(i,j,k)-0.5d0*CCTK_DELTA_SPACE(3),r(i,j,k),whisky_rho_min, whisky_reflevel, whisky_C2P_failed(i,j,k))
call Con2Prim_ptPolytype(whisky_eos_handle, densplus(i,j,k),&
sxplus(i,j,k),syplus(i,j,k),szplus(i,j,k),&
tauplus(i,j,k),rhoplus(i,j,k),velxplus(i,j,k),&
velyplus(i,j,k),velzplus(i,j,k),epsplus(i,j,k),&
pressplus(i,j,k),w_lorentzplus(i,j,k),&
uxxr,uxyr,uxzr,uyyr,uyzr,uzzr,avg_detr,&
x(i,j,k)+0.5d0*CCTK_DELTA_SPACE(1),&
y(i,j,k)+0.5d0*CCTK_DELTA_SPACE(2), &
z(i,j,k)+0.5d0*CCTK_DELTA_SPACE(3),r(i,j,k),whisky_rho_min, whisky_reflevel, whisky_C2P_failed(i,j,k))
end do
end do
end do
end subroutine Con2PrimBoundsPolytype
/*@@
@routine Con2PrimBoundsTracer
@date Mon Mar 8 13:41:55 2004
@author Ian Hawke
@desc
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine Con2PrimBoundsTracer(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
integer :: i, j, k, itracer, nx, ny, nz
CCTK_REAL :: uxxl, uxyl, uxzl, uyyl, uyzl, uzzl,&
uxxr, uxyr, uxzr, uyyr, uyzr, uzzr
CCTK_REAL :: gxxl,gxyl,gxzl,gyyl,gyzl,gzzl,avg_detl,&
gxxr,gxyr,gxzr,gyyr,gyzr,gzzr,avg_detr,psi4r,psi4l
nx = cctk_lsh(1)
ny = cctk_lsh(2)
nz = cctk_lsh(3)
do k = whisky_stencil, nz - whisky_stencil + 1
do j = whisky_stencil, ny - whisky_stencil + 1
do i = whisky_stencil, nx - whisky_stencil + 1
gxxl = 0.5d0 * (gxx(i,j,k) + gxx(i-xoffset,j-yoffset,k-zoffset))
gxyl = 0.5d0 * (gxy(i,j,k) + gxy(i-xoffset,j-yoffset,k-zoffset))
gxzl = 0.5d0 * (gxz(i,j,k) + gxz(i-xoffset,j-yoffset,k-zoffset))
gyyl = 0.5d0 * (gyy(i,j,k) + gyy(i-xoffset,j-yoffset,k-zoffset))
gyzl = 0.5d0 * (gyz(i,j,k) + gyz(i-xoffset,j-yoffset,k-zoffset))
gzzl = 0.5d0 * (gzz(i,j,k) + gzz(i-xoffset,j-yoffset,k-zoffset))
gxxr = 0.5d0 * (gxx(i,j,k) + gxx(i+xoffset,j+yoffset,k+zoffset))
gxyr = 0.5d0 * (gxy(i,j,k) + gxy(i+xoffset,j+yoffset,k+zoffset))
gxzr = 0.5d0 * (gxz(i,j,k) + gxz(i+xoffset,j+yoffset,k+zoffset))
gyyr = 0.5d0 * (gyy(i,j,k) + gyy(i+xoffset,j+yoffset,k+zoffset))
gyzr = 0.5d0 * (gyz(i,j,k) + gyz(i+xoffset,j+yoffset,k+zoffset))
gzzr = 0.5d0 * (gzz(i,j,k) + gzz(i+xoffset,j+yoffset,k+zoffset))
if (conformal_state .eq. 0) then
call SpatialDeterminant(gxxl,gxyl,gxzl,gyyl, gyzl,gzzl,avg_detl)
call SpatialDeterminant(gxxr,gxyr,gxzr,gyyr, gyzr,gzzr,avg_detr)
call UpperMetric(uxxl,uxyl,uxzl,uyyl,uyzl,uzzl,avg_detl,&
gxxl,gxyl,gxzl,gyyl,gyzl,gzzl)
call UpperMetric(uxxr,uxyr,uxzr,uyyr,uyzr,uzzr,avg_detr,&
gxxr,gxyr,gxzr,gyyr,gyzr,gzzr)
else
psi4r = (0.5d0*(psi(i,j,k)+psi(i+xoffset,j+yoffset,k+zoffset)))**4
psi4l = (0.5d0*(psi(i,j,k)+psi(i-xoffset,j-yoffset,k-zoffset)))**4
call SpatialDeterminant(psi4l*gxxl,psi4l*gxyl,psi4l*gxzl,&
psi4l*gyyl,psi4l*gyzl,psi4l*gzzl,avg_detl)
call SpatialDeterminant(psi4r*gxxr,psi4r*gxyr,psi4r*gxzr,&
psi4r*gyyr,psi4r*gyzr,psi4r*gzzr,avg_detr)
call UpperMetric(uxxl,uxyl,uxzl,uyyl,uyzl,uzzl,avg_detl,&
psi4l*gxxl,psi4l*gxyl,psi4l*gxzl,psi4l*gyyl,psi4l*gyzl,&
psi4l*gzzl)
call UpperMetric(uxxr,uxyr,uxzr,uyyr,uyzr,uzzr,avg_detr,&
psi4r*gxxr,psi4r*gxyr,psi4r*gxzr,psi4r*gyyr,psi4r*gyzr,&
psi4r*gzzr)
end if
do itracer=1,number_of_tracers
call Con2Prim_ptBoundsTracer(cons_tracerplus(i,j,k,itracer), &
tracerplus(i,j,k,itracer), &
rhoplus(i,j,k), sqrt(1.d0 - &
(gxxr * velxplus(i,j,k)**2 + &
gyyr * velyplus(i,j,k)**2 + &
gzzr * velzplus(i,j,k)**2 + &
2.d0 * (gxyr * velxplus(i,j,k) * velyplus(i,j,k) + &
gxzr * velxplus(i,j,k) * velzplus(i,j,k) + &
gyzr * velyplus(i,j,k) * velzplus(i,j,k) ) ) ), &
avg_detr)
call Con2Prim_ptBoundsTracer(cons_tracerminus(i,j,k,itracer), &
tracerminus(i,j,k,itracer), &
rhominus(i,j,k), sqrt(1.d0 - &
(gxxr * velxminus(i,j,k)**2 + &
gyyr * velyminus(i,j,k)**2 + &
gzzr * velzminus(i,j,k)**2 + &
2.d0 * (gxyr * velxminus(i,j,k) * velyminus(i,j,k) + &
gxzr * velxminus(i,j,k) * velzminus(i,j,k) + &
gyzr * velyminus(i,j,k) * velzminus(i,j,k) ) ) ), &
avg_detl)
enddo
!!$ tracerplus(i,j,k) = cons_tracerplus(i,j,k) / &
!!$ sqrt(avg_detr) / rhoplus(i,j,k) * &
!!$ sqrt(1.d0 - &
!!$ (gxxr * velxplus(i,j,k)**2 + &
!!$ gyyr * velyplus(i,j,k)**2 + &
!!$ gzzr * velzplus(i,j,k)**2 + &
!!$ 2.d0 * (gxyr * velxplus(i,j,k) * velyplus(i,j,k) + &
!!$ gxzr * velxplus(i,j,k) * velzplus(i,j,k) + &
!!$ gyzr * velyplus(i,j,k) * velzplus(i,j,k) ) ) )
!!$ tracerminus(i,j,k) = cons_tracerminus(i,j,k) / &
!!$ sqrt(avg_detl) / rhominus(i,j,k) * &
!!$ sqrt(1.d0 - &
!!$ (gxxl * velxminus(i,j,k)**2 + &
!!$ gyyl * velyminus(i,j,k)**2 + &
!!$ gzzl * velzminus(i,j,k)**2 + &
!!$ 2.d0 * (gxyl * velxminus(i,j,k) * velyminus(i,j,k) + &
!!$ gxzl * velxminus(i,j,k) * velzminus(i,j,k) + &
!!$ gyzl * velyminus(i,j,k) * velzminus(i,j,k) ) ) )
end do
end do
end do
end subroutine Con2PrimBoundsTracer
/*@@
@routine Con2Prim_ptTracer
@date Mon Mar 8 14:26:29 2004
@author Ian Hawke
@desc
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine Con2Prim_ptTracer(cons_tracer, tracer, dens)
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_REAL cons_tracer, tracer, dens
tracer = cons_tracer / dens
end subroutine Con2Prim_ptTracer
/*@@
@routine Con2Prim_ptTracerBounds
@date Mon Mar 8 14:26:29 2004
@author Ian Hawke
@desc
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine Con2Prim_ptBoundsTracer(cons_tracer, tracer, rho, one_over_w_lorentz, det)
implicit none
DECLARE_CCTK_PARAMETERS
CCTK_REAL cons_tracer, tracer, rho, one_over_w_lorentz, det
tracer = cons_tracer / sqrt(det) / rho * one_over_w_lorentz
end subroutine Con2Prim_ptBoundsTracer
/*@@
@routine Conservative2PrimitiveGeneral
@date Sat Jan 26 01:08:33 2002
@author Ian Hawke
@desc
Wrapper routine that converts from conserved to primitive variables
at every grid cell centre. Converted to the EOSGeneral format
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine Conservative2PrimitiveGeneral(CCTK_ARGUMENTS)
USE Whisky_Scalars
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
CCTK_INT :: i, j, k, itracer, nx, ny, nz, ierr
CCTK_REAL :: psi4pt
character(len=100) warnline
CCTK_INT :: count
CCTK_REAL :: s2, df, v2, w, vlowx, vlowy, vlowz
CCTK_REAL :: temp1, temp2, temp3
CCTK_REAL :: udens, usx, usy, usz, utau
CCTK_REAL :: drhodpress, depsdpress
logical :: loop_condition
CCTK_REAL, dimension(:,:,:), allocatable :: f
logical, dimension(:,:,:), allocatable :: point_loop_condition
CCTK_INT :: type_bits, atmosphere
CCTK_INT :: type2_bits, excised
CCTK_REAL :: local_min_tracer
CCTK_INT, dimension(3) :: loc, loc2
allocate(f(cctk_lsh(1),cctk_lsh(2),cctk_lsh(3)),&
point_loop_condition(cctk_lsh(1),cctk_lsh(2),cctk_lsh(3)),&
STAT=ierr)
if (ierr .ne. 0) then
call CCTK_WARN(0, "Allocation problems with f")
end if
call SpaceMask_GetTypeBits(type_bits, "Hydro_Atmosphere")
call SpaceMask_GetStateBits(atmosphere, "Hydro_Atmosphere", "in_atmosphere")
type2_bits = -1
excised = -1
nx = cctk_lsh(1)
ny = cctk_lsh(2)
nz = cctk_lsh(3)
count = 0
press_old = max(eosgeneral_pmin, press)
if (use_min_tracer .ne. 0) then
local_min_tracer = min_tracer
else
local_min_tracer = 0d0
end if
loop_condition = .true.
!!$ Set up rho and epsilon
do k = 1, nz
do j = 1, ny
do i = 1, nx
if (evolve_tracer .ne. 0) then
do itracer=1,number_of_tracers
call Con2Prim_ptTracer(cons_tracer(i,j,k,itracer), &
tracer(i,j,k,itracer), dens(i,j,k))
if (use_min_tracer .ne. 0) then
if (tracer(i,j,k,itracer) .le. local_min_tracer) then
tracer(i,j,k,itracer) = local_min_tracer
end if
end if
enddo
endif
if ( (dens(i,j,k).le.sqrt(Whisky_Det(i,j,k)) * &
whisky_rho_min*(1.0d0+whisky_atmo_tolerance)) &
.or.(tau(i,j,k) .le. 0d0)) then
rho(i,j,k) = whisky_rho_min
dens(i,j,k) = sqrt(Whisky_det(i,j,k)) * rho(i,j,k)
scon(i,j,k,:) = 0.d0
w_lorentz(i,j,k) = 1.d0
press(i,j,k) = 0.1d0 * eosgeneral_pmin
eps(i,j,k) = press(i,j,k) / rho(i,j,k) ! Note that this should be improved
tau(i,j,k) = sqrt(Whisky_det(i,j,k)) * rho(i,j,k) * eps(i,j,k)
!!$ call Whisky_DumpPointInAtmos(rho(i,j,k), &
!!$ velx(i,j,k), vely(i,j,k), velz(i,j,k), &
!!$ eps(i,j,k), press(i,j,k), w_lorentz(i,j,k), &
!!$ dens(i,j,k), sx(i,j,k), sy(i,j,k), sz(i,j,k), tau(i,j,k), &
!!$ Whisky_det(i,j,k), whisky_rho_min)
end if
udens = dens(i,j,k) / sqrt(Whisky_det(i,j,k))
usx = scon(i,j,k,1) / sqrt(Whisky_det(i,j,k))
usy = scon(i,j,k,2) / sqrt(Whisky_det(i,j,k))
usz = scon(i,j,k,3) / sqrt(Whisky_det(i,j,k))
utau = tau(i,j,k) / sqrt(Whisky_det(i,j,k))
s2 = usx*usx*Whisky_uxx(i,j,k) + &
usy*usy*Whisky_uyy(i,j,k) + &
usz*usz*Whisky_uzz(i,j,k) + &
2.d0*usx*usy*Whisky_uxy(i,j,k) + &
2.d0*usx*usz*Whisky_uxz(i,j,k) + &
2.d0*usy*usz*Whisky_uyz(i,j,k)
!!$ Check that the variables have a chance of being physical
if( (utau + press_old(i,j,k) + udens)**2 - s2 .le. 0.0d0) then
if(whisky_reflevel.ge.whisky_c2p_warn_from_reflevel) then
call CCTK_WARN(1,'Con2PrimGeneral: variables unphysical!')
write(warnline,'(a28,i2)') 'on carpet reflevel: ',whisky_reflevel
call CCTK_WARN(1,warnline)
write(warnline,'(a25,g15.6)') 'undensitized energy: ',utau
call CCTK_WARN(1,warnline)
write(warnline,'(a25,g15.6)') 'undensitized density: ',udens
call CCTK_WARN(1,warnline)
write(warnline,'(a25,g15.6)') 'undensitized s2: ',s2
call CCTK_WARN(1,warnline)
write(warnline,'(a25,g15.6)') 'pressure guess: ',press_old(i,j,k)
call CCTK_WARN(1,warnline)
write(warnline,'(a25,i4)') 'refinement level: ',whisky_reflevel
call CCTK_WARN(1,warnline)
write(warnline,'(a25,4g15.6)') 'coordinates: x,y,z,r:',&
x(i,j,k),y(i,j,k),z(i,j,k),r(i,j,k)
call CCTK_WARN(1,warnline)
call CCTK_WARN(whisky_c2p_warnlevel, "Unphysical variables")
exit
else
write(warnline,'(a60,i2)') 'Con2Prim: eps negative, but I was told to ignore level: ',whisky_reflevel
call CCTK_WARN(1,warnline)
write(warnline,'(a25,4g15.6)') 'coordinates: x,y,z,r:',&
x(i,j,k),y(i,j,k),z(i,j,k),r(i,j,k)
call CCTK_WARN(1,warnline)
exit
endif
endif
temp1 = (utau + udens + press_old(i,j,k))
temp2 = temp1**2 - s2
temp3 = sqrt(temp2)
rho(i,j,k) = udens * temp3 / temp1
w_lorentz(i,j,k) = temp1 / temp3
!!$ Eps not previously set?
eps(i,j,k) = &
(temp3 - press_old(i,j,k) * w_lorentz(i,j,k) - udens) / &
udens
end do
end do
end do
ierr = EOS_SetGFs(cctkGH, EOS_Con2PrimCall)
where (press .le. eosgeneral_pmin)
press = eosgeneral_pmin
rho = whisky_rho_min
dens = sqrt(Whisky_det) * rho
scon(:,:,:,1) = 0.d0
scon(:,:,:,2) = 0.d0
scon(:,:,:,3) = 0.d0
w_lorentz = 1d0
eps = press / rho
tau = sqrt(Whisky_det) * rho * eps
end where
f = press_old - press
press_new = press_old
do while (loop_condition)
count = count + 1
if (count > whisky_countmax) then
if(whisky_reflevel.ge.whisky_c2p_warn_from_reflevel) then
call CCTK_WARN(1, 'Con2PrimGeneral: error: did not converge in ')
write(warnline,'(a20,g12.7,a10)') ' ',&
whisky_countmax,' steps'
call CCTK_WARN(1,warnline)
write(warnline,'(a28,i2)') 'on carpet reflevel: ',whisky_reflevel
call CCTK_WARN(1,warnline)
call CCTK_WARN(whisky_c2p_warnlevel, "Did not converge")
exit
else
write(warnline,'(a60,i2)') 'Con2Prim: eps negative, but I was told to ignore level: ',whisky_reflevel
call CCTK_WARN(1,warnline)
exit
endif
end if
do k = 1, nz
do j = 1, ny
do i = 1, nx
!do not compute if in atmosphere
!or in an excised region
if (SpaceMask_CheckStateBitsF90(space_mask, i, j, k, type_bits, atmosphere)) then
press_new(i,j,k) = press(i,j,k)
press_old(i,j,k) = press(i,j,k)
cycle
endif
! All right, is this point already converged?!?
loop_condition = abs(press_new(i,j,k)-press_old(i,j,k)) / abs(press_new(i,j,k)) > &
whisky_perc_ptol
loop_condition = loop_condition .and. &
abs(press_new(i,j,k)-press_old(i,j,k)) > whisky_del_ptol
loop_condition = loop_condition .or. (count < whisky_countmin) &
.or. (count < 2) ! we have to at least go once through c2p.
point_loop_condition(i,j,k) = loop_condition
if(.not.loop_condition) cycle
udens = dens(i,j,k) / sqrt(Whisky_det(i,j,k))
usx = scon(i,j,k,1) / sqrt(Whisky_det(i,j,k))
usy = scon(i,j,k,2) / sqrt(Whisky_det(i,j,k))
usz = scon(i,j,k,3) / sqrt(Whisky_det(i,j,k))
utau = tau(i,j,k) / sqrt(Whisky_det(i,j,k))
s2 = usx*usx*Whisky_uxx(i,j,k) + &
usy*usy*Whisky_uyy(i,j,k) + &
usz*usz*Whisky_uzz(i,j,k) + &
2.d0*usx*usy*Whisky_uxy(i,j,k) + &
2.d0*usx*usz*Whisky_uxz(i,j,k) + &
2.d0*usy*usz*Whisky_uyz(i,j,k)
temp1 = (utau + udens + press_new(i,j,k))
temp2 = temp1**2 - s2
temp3 = sqrt(temp2)
drhodpress = udens * s2 / (temp3 * temp1**2)
depsdpress = press_new(i,j,k) * s2 / (rho(i,j,k) * temp1 * temp2)
df = 1.d0 - eos_dpdeps_temp(i,j,k) * depsdpress - &
eos_dpdrho_temp(i,j,k) * drhodpress
press_old(i,j,k) = press_new(i,j,k)
press_new(i,j,k) = press_old(i,j,k) - f(i,j,k) / df
if (press_new(i,j,k) .le. eosgeneral_pmin) then
press_new(i,j,k) = eosgeneral_pmin
rho(i,j,k) = whisky_rho_min
dens(i,j,k) = sqrt(Whisky_det(i,j,k)) * rho(i,j,k)
scon(i,j,k,:) = 0.d0
w_lorentz(i,j,k) = 1d0
eps(i,j,k) = press(i,j,k) / rho(i,j,k)
tau(i,j,k) = sqrt(Whisky_det(i,j,k)) * rho(i,j,k) * eps(i,j,k)
udens = rho(i,j,k)
utau = rho(i,j,k) * eps(i,j,k)
s2 = 0.d0
end if
temp1 = (utau + udens + press_new(i,j,k))
temp2 = temp1**2 - s2
temp3 = sqrt(temp2)
rho(i,j,k) = udens * temp3 / temp1
w_lorentz(i,j,k) = temp1 / temp3
eps(i,j,k) = &
(temp3 - press_new(i,j,k) * w_lorentz(i,j,k) - udens) / &
udens
point_loop_condition(i,j,k) = &
(abs(press_new(i,j,k) - press_old(i,j,k)) / abs(press_new(i,j,k)) > &
whisky_perc_ptol)
point_loop_condition(i,j,k) = point_loop_condition(i,j,k) .and. &
(abs(press_new(i,j,k) - press_old(i,j,k)) > &
whisky_del_ptol)
end do
end do
end do
ierr = EOS_SetGFs(cctkGH, EOS_Con2PrimCall)
press = max(press, eosgeneral_pmin)
f = press_new - press
loop_condition = any(point_loop_condition)
loop_condition = loop_condition .or. &
(count < whisky_countmin)
end do
deallocate(point_loop_condition)
do count = 1, whisky_polish
do k = 1, nz
do j = 1, ny
do i = 1, nx
!do not compute if in atmosphere
if (SpaceMask_CheckStateBitsF90(space_mask, i, j, k, type_bits, atmosphere)) cycle
f = press_new(i,j,k) - press(i,j,k)
udens = dens(i,j,k) / sqrt(Whisky_det(i,j,k))
usx = scon(i,j,k,1) / sqrt(Whisky_det(i,j,k))
usy = scon(i,j,k,2) / sqrt(Whisky_det(i,j,k))
usz = scon(i,j,k,3) / sqrt(Whisky_det(i,j,k))
utau = tau(i,j,k) / sqrt(Whisky_det(i,j,k))
s2 = usx*usx*Whisky_uxx(i,j,k) + &
usy*usy*Whisky_uyy(i,j,k) + &
usz*usz*Whisky_uzz(i,j,k) + &
2.d0*usx*usy*Whisky_uxy(i,j,k) + &
2.d0*usx*usz*Whisky_uxz(i,j,k) + &
2.d0*usy*usz*Whisky_uyz(i,j,k)
temp1 = (utau + udens + press_new(i,j,k))
temp2 = temp1**2 - s2
temp3 = sqrt(temp2)
drhodpress = udens * s2 / (temp3 * temp1**2)
depsdpress = press_new(i,j,k) * s2 / (rho(i,j,k) * temp1 * temp2)
df = 1.d0 - eos_dpdeps_temp(i,j,k) * depsdpress - &
eos_dpdrho_temp(i,j,k) * drhodpress
press_new(i,j,k) = max(press_new(i,j,k) - f(i,j,k) / df, eosgeneral_pmin)
temp1 = (utau + udens + press_new(i,j,k))
temp2 = temp1**2 - s2
temp3 = sqrt(temp2)
rho(i,j,k) = udens * temp3 / temp1
w_lorentz(i,j,k) = temp1 / temp3
eps(i,j,k) = &
(temp3 - press_new(i,j,k) * w_lorentz(i,j,k) - udens) / &
udens
end do
end do
end do
ierr = EOS_SetGFs(cctkGH, EOS_Con2PrimCall)
press = max(press, eosgeneral_pmin)
end do
do k = 1, nz
do j = 1, ny
do i = 1, nx
!do not compute if in atmosphere
if (SpaceMask_CheckStateBitsF90(space_mask, i, j, k, type_bits, atmosphere)) cycle
!!$ Note that in the following we enforce eps > 0
!!$ This makes the later check redundant
if ( (rho(i,j,k) .le. whisky_rho_min*(1.d0+whisky_atmo_tolerance) ) .or. &
(eps(i,j,k) .lt. 0d0) ) then
rho(i,j,k) = whisky_rho_min
udens = rho(i,j,k)
utau = tau(i,j,k) / sqrt(Whisky_det(i,j,k))
dens(i,j,k) = sqrt(Whisky_det(i,j,k)) * rho(i,j,k)
eps(i,j,k) = utau / udens
scon(i,j,k,:) = 0.d0
w_lorentz(i,j,k) = 1.d0
usx = 0.d0
usy = 0.d0
usz = 0.d0
else
udens = dens(i,j,k) / sqrt(Whisky_det(i,j,k))
usx = scon(i,j,k,1) / sqrt(Whisky_det(i,j,k))
usy = scon(i,j,k,2) / sqrt(Whisky_det(i,j,k))
usz = scon(i,j,k,3) / sqrt(Whisky_det(i,j,k))
utau = tau(i,j,k) / sqrt(Whisky_det(i,j,k))
end if
vlowx = usx / &
( (rho(i,j,k) + rho(i,j,k) * eps(i,j,k) + press(i,j,k)) * &
w_lorentz(i,j,k)**2)
vlowy = usy / &
( (rho(i,j,k) + rho(i,j,k) * eps(i,j,k) + press(i,j,k)) * &
w_lorentz(i,j,k)**2)
vlowz = usz / &
( (rho(i,j,k) + rho(i,j,k) * eps(i,j,k) + press(i,j,k)) * &
w_lorentz(i,j,k)**2)
vel(i,j,k,1) = Whisky_uxx(i,j,k) * vlowx + &
Whisky_uxy(i,j,k) * vlowy + &
Whisky_uxz(i,j,k) * vlowz
vel(i,j,k,2) = Whisky_uxy(i,j,k) * vlowx + &
Whisky_uyy(i,j,k) * vlowy + &
Whisky_uyz(i,j,k) * vlowz
vel(i,j,k,3) = Whisky_uxz(i,j,k) * vlowx + &
Whisky_uyz(i,j,k) * vlowy + &
Whisky_uzz(i,j,k) * vlowz
!!$ If eps negative then complain vociferously
if (eps(i,j,k) .le. 0.d0) then
if(whisky_reflevel.ge.whisky_c2p_warn_from_reflevel) then
call CCTK_WARN(1,'Con2PrimGeneral: stopping the code.')
call CCTK_WARN(1, ' specific internal energy just went below 0! ')
write(warnline,'(a28,i2)') 'on carpet reflevel: ',whisky_reflevel
call CCTK_WARN(1,warnline)
write(warnline,'(a20,3g16.7)') 'xyz location: ',&
x(i,j,k),y(i,j,k),z(i,j,k)
call CCTK_WARN(1,warnline)
write(warnline,'(a25,i4)') 'refinement level: ',whisky_reflevel
call CCTK_WARN(1,warnline)
write(warnline,'(a20,g16.7)') 'radius: ',r(i,j,k)
call CCTK_WARN(1,warnline)
write(warnline,'(a20,3g16.7)') 'velocities: ',&
vel(i,j,k,1),vel(i,j,k,2),vel(i,j,k,3)
call CCTK_WARN(1,warnline)
call CCTK_WARN(whisky_c2p_warnlevel, \
"Specific internal energy negative")
exit
else
write(warnline,'(a60,i2)') 'Con2Prim: eps negative, but I was told to ignore level: ',whisky_reflevel
call CCTK_WARN(1,warnline)
write(warnline,'(a25,4g15.6)') 'coordinates: x,y,z,r:',&
x(i,j,k),y(i,j,k),z(i,j,k),r(i,j,k)
call CCTK_WARN(1,warnline)
exit
endif
endif
end do
end do
end do
deallocate(f)
end subroutine Conservative2PrimitiveGeneral
/*@@
@routine Conservative2PrimitivePolytypeGeneral
@date Sat Jan 26 01:08:33 2002
@author Ian Hawke
@desc
Wrapper routine that converts from conserved to primitive variables
at every grid cell centre. Converted to the EOSGeneral format
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine Con2PrimPolytypeGeneral(CCTK_ARGUMENTS)
USE Whisky_Scalars
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
CCTK_INT :: i, j, k, itracer, nx, ny, nz
CCTK_REAL :: psi4pt
character(len=100) warnline
CCTK_INT :: count, ierr
CCTK_REAL :: s2, f, df, v2, w, vlowx, vlowy, vlowz
CCTK_REAL :: temp1, temp2, temp3
CCTK_REAL :: udens, usx, usy, usz
CCTK_REAL :: enthalpy, denthalpy
logical :: loop_condition
CCTK_INT :: type_bits, atmosphere
CCTK_INT :: type2_bits, excised
CCTK_REAL :: local_min_tracer
call SpaceMask_GetTypeBits(type_bits, "Hydro_Atmosphere")
call SpaceMask_GetStateBits(atmosphere, "Hydro_Atmosphere", "in_atmosphere")
type2_bits = -1
excised = -1
nx = cctk_lsh(1)
ny = cctk_lsh(2)
nz = cctk_lsh(3)
if (use_min_tracer .ne. 0) then
local_min_tracer = min_tracer
else
local_min_tracer = 0d0
end if
!!$ In what follows press_temp is really rho_temp
count = 0
press_new = max(whisky_rho_min, rho)
loop_condition = .true.
ierr = EOS_SetGFs(cctkGH, EOS_Con2PrimCall)
!!$ Set up W and epsilon
do k = 1, nz
do j = 1, ny
do i = 1, nx
if (evolve_tracer .ne. 0) then
do itracer=1,number_of_tracers
call Con2Prim_ptTracer(cons_tracer(i,j,k,itracer), &
tracer(i,j,k,itracer), dens(i,j,k))
if (use_min_tracer .ne. 0) then
if (tracer(i,j,k,itracer) .le. local_min_tracer) then
tracer(i,j,k,itracer) = local_min_tracer
end if
end if
enddo
end if
udens = dens(i,j,k) / sqrt(Whisky_det(i,j,k))
usx = scon(i,j,k,1) / sqrt(Whisky_det(i,j,k))
usy = scon(i,j,k,2) / sqrt(Whisky_det(i,j,k))
usz = scon(i,j,k,3) / sqrt(Whisky_det(i,j,k))
s2 = usx*usx*Whisky_uxx(i,j,k) + &
usy*usy*Whisky_uyy(i,j,k) + &
usz*usz*Whisky_uzz(i,j,k) + &
2.d0*usx*usy*Whisky_uxy(i,j,k) + &
2.d0*usx*usz*Whisky_uxz(i,j,k) + &
2.d0*usy*usz*Whisky_uyz(i,j,k)
enthalpy = 1.d0 + eps(i,j,k) + press(i,j,k) / press_new(i,j,k)
w_lorentz(i,j,k) = sqrt( 1.d0 + s2 / ( (udens*enthalpy)**2 ) )
end do
end do
end do
do while (loop_condition)
count = count + 1
if (count > whisky_countmax) then
if (whisky_reflevel.ge.whisky_c2p_warn_from_reflevel) then
call CCTK_WARN(1, 'Con2PrimPolytypeGeneral: error: did not converge in ')
write(warnline,'(a20,g12.7,a10)') ' ',&
whisky_countmax,' steps'
call CCTK_WARN(1,warnline)
write(warnline,'(a28,i2)') 'on carpet reflevel: ',whisky_reflevel
call CCTK_WARN(1,warnline)
call CCTK_WARN(whisky_c2p_warnlevel, "Did not converge")
exit
else
write(warnline,'(a60,i2)') 'Con2Prim: eps negative, but I was told to ignore level: ',whisky_reflevel
call CCTK_WARN(1,warnline)
exit
endif
end if
do k = 1, nz
do j = 1, ny
do i = 1, nx
!do not compute if in atmosphere
if (SpaceMask_CheckStateBitsF90(space_mask, i, j, k, type_bits, atmosphere)) cycle
enthalpy = 1.d0 + eps(i,j,k) + press(i,j,k) / press_new(i,j,k)
tau(i,j,k) = sqrt(Whisky_det(i,j,k)) * &
( press_new(i,j,k) * enthalpy * w_lorentz(i,j,k)**2 - &
press(i,j,k) ) - dens(i,j,k)
udens = dens(i,j,k) / sqrt(Whisky_det(i,j,k))
usx = scon(i,j,k,1) / sqrt(Whisky_det(i,j,k))
usy = scon(i,j,k,2) / sqrt(Whisky_det(i,j,k))
usz = scon(i,j,k,3) / sqrt(Whisky_det(i,j,k))
s2 = usx*usx*Whisky_uxx(i,j,k) + &
usy*usy*Whisky_uyy(i,j,k) + &
usz*usz*Whisky_uzz(i,j,k) + &
2.d0*usx*usy*Whisky_uxy(i,j,k) + &
2.d0*usx*usz*Whisky_uxz(i,j,k) + &
2.d0*usy*usz*Whisky_uyz(i,j,k)
f = press_new(i,j,k) * w_lorentz(i,j,k) - udens
denthalpy = eos_dpdrho_temp(i,j,k) / press_new(i,j,k)
df = w_lorentz(i,j,k) - press_new(i,j,k) * s2 * denthalpy / &
( w_lorentz(i,j,k) * (udens**2) * (enthalpy**3) )
rho(i,j,k) = press_new(i,j,k)
press_new(i,j,k) = max(press_new(i,j,k) - f / df, whisky_rho_min)
enthalpy = 1.d0 + eps(i,j,k) + press(i,j,k) / press_new(i,j,k)
w_lorentz(i,j,k) = sqrt( 1.d0 + s2 / ( (udens*enthalpy)**2 ) )
end do
end do
end do
ierr = EOS_SetGFs(cctkGH, EOS_Con2PrimCall)
loop_condition = (maxval(abs(rho - press_new) / abs(press_new)) > &
whisky_perc_ptol)
loop_condition = loop_condition .and. &
(maxval(abs(rho - press_new)) > whisky_del_ptol)
loop_condition = loop_condition .or. &
(count < whisky_countmin)
end do
do k = 1, nz
do j = 1, ny
do i = 1, nx
!do not compute if in atmosphere
if (SpaceMask_CheckStateBitsF90(space_mask, i, j, k, type_bits, atmosphere)) cycle
udens = dens(i,j,k) / sqrt(Whisky_det(i,j,k))
if (rho(i,j,k) .le. whisky_rho_min*(1.d0+whisky_atmo_tolerance) ) then
rho(i,j,k) = whisky_rho_min
scon(i,j,k,:) = 0.d0
w_lorentz(i,j,k) = 1.d0
usx = 0.d0
usy = 0.d0
usz = 0.d0
s2 = 0.d0
else
usx = scon(i,j,k,1) / sqrt(Whisky_det(i,j,k))
usy = scon(i,j,k,2) / sqrt(Whisky_det(i,j,k))
usz = scon(i,j,k,3) / sqrt(Whisky_det(i,j,k))
s2 = usx*usx*Whisky_uxx(i,j,k) + &
usy*usy*Whisky_uyy(i,j,k) + &
usz*usz*Whisky_uzz(i,j,k) + &
2.d0*usx*usy*Whisky_uxy(i,j,k) + &
2.d0*usx*usz*Whisky_uxz(i,j,k) + &
2.d0*usy*usz*Whisky_uyz(i,j,k)
end if
enthalpy = 1.d0 + eps(i,j,k) + press(i,j,k) / rho(i,j,k)
w_lorentz(i,j,k) = sqrt( 1.d0 + s2 / ( (udens*enthalpy)**2 ) )
tau(i,j,k) = sqrt(Whisky_det(i,j,k)) * &
( (rho(i,j,k) * enthalpy) * w_lorentz(i,j,k)**2 - &
press(i,j,k) ) - dens(i,j,k)
vlowx = usx / &
( (rho(i,j,k) + rho(i,j,k) * eps(i,j,k) + press(i,j,k)) * &
w_lorentz(i,j,k)**2)
vlowy = usy / &
( (rho(i,j,k) + rho(i,j,k) * eps(i,j,k) + press(i,j,k)) * &
w_lorentz(i,j,k)**2)
vlowz = usz / &
( (rho(i,j,k) + rho(i,j,k) * eps(i,j,k) + press(i,j,k)) * &
w_lorentz(i,j,k)**2)
vel(i,j,k,1) = Whisky_uxx(i,j,k) * vlowx + &
Whisky_uxy(i,j,k) * vlowy + &
Whisky_uxz(i,j,k) * vlowz
vel(i,j,k,2) = Whisky_uxy(i,j,k) * vlowx + &
Whisky_uyy(i,j,k) * vlowy + &
Whisky_uyz(i,j,k) * vlowz
vel(i,j,k,3) = Whisky_uxz(i,j,k) * vlowx + &
Whisky_uyz(i,j,k) * vlowy + &
Whisky_uzz(i,j,k) * vlowz
!!$ If eps negative then complain vociferously
if (eps(i,j,k) .lt. 0.0d0) whisky_C2P_failed(i,j,k) = 1
end do
end do
end do
end subroutine Con2PrimPolytypeGeneral
! subroutines to manage the C2P failure mask
subroutine reset_whisky_C2P_failed(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
whisky_C2P_failed = 0
return
end subroutine reset_whisky_C2P_failed
subroutine sync_whisky_C2P_failed(CCTK_ARGUMENTS)
! a dummy routine to syncronise whisky_C2P_failed
implicit none
DECLARE_CCTK_ARGUMENTS
return
end subroutine sync_whisky_C2P_failed
subroutine check_whisky_C2P_failed(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
integer :: i, j, k, nx, ny, nz
character(len=100) warnline
! call CCTK_INFO("Checking the C2P failure mask.")
nx = cctk_lsh(1)
ny = cctk_lsh(2)
nz = cctk_lsh(3)
do k = 1, nz
do j = 1, ny
do i = 1, nx
if (whisky_C2P_failed(i,j,k) == 1) then
call CCTK_WARN(1,'Con2Prim failed; stopping the code.')
call CCTK_WARN(1,'Even with mesh refinement, this point is not restricted from a finer level, so this is really an error')
write(warnline,'(a28,i2)') 'on carpet reflevel: ',whisky_reflevel
call CCTK_WARN(1,warnline)
write(warnline,'(a20,3g16.7)') 'xyz location: ',&
x(i,j,k),y(i,j,k),z(i,j,k)
call CCTK_WARN(1,warnline)
write(warnline,'(a20,g16.7)') 'radius: ',r(i,j,k)
call CCTK_WARN(1,warnline)
write(warnline,'(a20,3g16.7)') 'velocities: ',&
vel(i,j,k,1),vel(i,j,k,2),vel(i,j,k,3)
call CCTK_WARN(0,warnline)
end if
end do
end do
end do
return
end subroutine check_whisky_C2P_failed
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