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#include "cctk.h"
c ========================================================================
SUBROUTINE D3_to_D2(cctkGH,conformal_state,do_ADMmass,do_momentum,do_spin,
& Psi_power,origin,myproc,interpolation_order,Dx,Dy,Dz,Psi,
& g00,gxx,gxy,gxz,gyy,gyz,gzz,hxx,hxy,hxz,hyy,hyz,hzz,
& x,y,z,eta,Nt,Np,theta,phi,
& Psis,g00s,gxxs,gxys,gxzs,gyys,gyzs,gzzs,dPsis,dgxxs,dgxys,dgxzs,
& dgyys,dgyzs,dgzzs,ADMmass_int1,ADMmass_int2,
& momentum_int1,momentum_int2,momentum_int3,
& spin_int1,spin_int2,spin_int3,Extract_temp3d)
c ------------------------------------------------------------------------
c
c Project the 3-metric and its 1st radial derivatives onto a
c 2-sphere.
c
c ------------------------------------------------------------------------
USE met_rad_der_int
USE ADMmass_integrand3D_int
USE momentum_integrand3D_int
USE spin_integrand3D_int
IMPLICIT NONE
c Input variables
CCTK_POINTER :: cctkGH
INTEGER,INTENT(IN) ::
& conformal_state,myproc,Psi_power
CCTK_INT, INTENT(IN) ::
& Nt,Np,do_momentum,do_spin,interpolation_order
CCTK_REAL,INTENT(IN) ::
& origin(3),Dx,Dy,Dz,eta
CCTK_REAL,INTENT(IN),DIMENSION(:) ::
& theta,phi,x,y,z
CCTK_REAL,INTENT(IN),DIMENSION(:,:,:) ::
& Psi,g00,gxx,gxy,gxz,gyy,gyz,gzz,
& hxx,hxy,hxz,hyy,hyz,hzz
CCTK_REAL,INTENT(INOUT),DIMENSION(:,:,:) ::
& Extract_temp3d
LOGICAL ::
& do_ADMmass(2)
c Output variables
CCTK_REAL,INTENT(OUT),DIMENSION(:,:) ::
& Psis,g00s,gxxs,gxys,gxzs,gyys,
& gyzs,gzzs,dPsis,dgxxs,dgxys,dgxzs,dgyys,dgyzs,dgzzs,
& ADMmass_int1,ADMmass_int2,
& momentum_int1,momentum_int2,momentum_int3,
& spin_int1,spin_int2,spin_int3
c Local variables, passed on
LOGICAL ::
& err_flag
INTEGER ::
& iorder,npoints,Nx,Ny,Nz
INTEGER,DIMENSION(Nt,Np) ::
& ib,jb,kb
CCTK_REAL,DIMENSION(Nt,Np) ::
& xs,ys,zs,ux,uy,uz,xb,yb,zb
c Local variables, here only
INTEGER ::
& i,j,interp_handle,coord_system_handle,ierror
INTEGER, DIMENSION(8) :: in_array_indices
c ------------------------------------------------------------------------
c Initial Stuff
c -------------
Nx = SIZE(x)
Ny = SIZE(y)
Nz = SIZE(z)
c Compute Cartesian coordinates on the surface
c --------------------------------------------
DO j = 1, Np
DO i = 1, Nt
xs(i,j) = origin(1)+eta*SIN(theta(i))*COS(phi(j))
ys(i,j) = origin(2)+eta*SIN(theta(i))*SIN(phi(j))
zs(i,j) = origin(3)+eta*COS(theta(i))
ENDDO
ENDDO
c Only do interpolation on one processor
c --------------------------------------
SELECT CASE (myproc)
CASE (0)
npoints = Np*Nt
CASE DEFAULT
npoints = 0
END SELECT
c Get the interpolator and coordinate system handle
c -------------------------------------------------
interp_handle = -1
coord_system_handle = -1
if (interpolation_order .eq. 1) then
call CCTK_InterpHandle (interp_handle, "first-order uniform cartesian")
else if (interpolation_order .eq. 2) then
call CCTK_InterpHandle (interp_handle, "second-order uniform cartesian")
else if (interpolation_order .eq. 3) then
call CCTK_InterpHandle (interp_handle, "third-order uniform cartesian")
endif
call CCTK_CoordSystemHandle (coord_system_handle, "cart3d")
if (interp_handle .lt. 0 .or. coord_system_handle .lt. 0) then
call CCTK_WARN (0, "Couldn't get handles for interpolation operator and/or coordinate system")
endif
c Get indices of GFs to interpolate
c ---------------------------------
call CCTK_VarIndex(in_array_indices(1), "staticconformal::psi")
call CCTK_VarIndex(in_array_indices(2), "extract::g00")
call CCTK_VarIndex(in_array_indices(3), "admbase::gxx")
call CCTK_VarIndex(in_array_indices(4), "admbase::gxy")
call CCTK_VarIndex(in_array_indices(5), "admbase::gxz")
call CCTK_VarIndex(in_array_indices(6), "admbase::gyy")
call CCTK_VarIndex(in_array_indices(7), "admbase::gyz")
call CCTK_VarIndex(in_array_indices(8), "admbase::gzz")
c Project un-physical metric and conformal factor onto sphere
c ------------------------------------------------------------
if (conformal_state > 0) then
call CCTK_InterpGV (ierror, cctkGH, interp_handle, coord_system_handle,
$ npoints, 8, 8,
$ xs, ys, zs,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL,
$ in_array_indices(1), in_array_indices(2),
$ in_array_indices(3), in_array_indices(4),
$ in_array_indices(5), in_array_indices(6),
$ in_array_indices(7), in_array_indices(8),
$ Psis, g00s, gxxs, gxys, gxzs, gyys, gyzs, gzzs,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL)
else
call CCTK_InterpGV (ierror, cctkGH, interp_handle, coord_system_handle,
$ npoints, 7, 7,
$ xs, ys, zs,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL,
$ in_array_indices(2),
$ in_array_indices(3), in_array_indices(4),
$ in_array_indices(5), in_array_indices(6),
$ in_array_indices(7), in_array_indices(8),
$ g00s, gxxs, gxys, gxzs, gyys, gyzs, gzzs,
$ CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL)
end if
c Calculate radial derivatives and project onto sphere
c ----------------------------------------------------
call CCTK_VarIndex(in_array_indices(1), "extract::temp3d")
if (conformal_state > 0) then
CALL met_rad_der(origin,Dx,Dy,Dz,x,y,z,Psi,Extract_temp3d)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
call CCTK_InterpGV (ierror, cctkGH, interp_handle, coord_system_handle,
$ npoints, 1, 1,
$ xs, ys, zs,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL,
$ in_array_indices(1),
$ dPsis,
$ CCTK_VARIABLE_REAL)
end if
CALL met_rad_der(origin,Dx,Dy,Dz,x,y,z,gxx,Extract_temp3d)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
call CCTK_InterpGV (ierror, cctkGH, interp_handle, coord_system_handle,
$ npoints, 1, 1,
$ xs, ys, zs,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL,
$ in_array_indices(1),
$ dgxxs,
$ CCTK_VARIABLE_REAL)
CALL met_rad_der(origin,Dx,Dy,Dz,x,y,z,gxy,Extract_temp3d)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
call CCTK_InterpGV (ierror, cctkGH, interp_handle, coord_system_handle,
$ npoints, 1, 1,
$ xs, ys, zs,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL,
$ in_array_indices(1),
$ dgxys,
$ CCTK_VARIABLE_REAL)
CALL met_rad_der(origin,Dx,Dy,Dz,x,y,z,gxz,Extract_temp3d)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
call CCTK_InterpGV (ierror, cctkGH, interp_handle, coord_system_handle,
$ npoints, 1, 1,
$ xs, ys, zs,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL,
$ in_array_indices(1),
$ dgxzs,
$ CCTK_VARIABLE_REAL)
CALL met_rad_der(origin,Dx,Dy,Dz,x,y,z,gyy,Extract_temp3d)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
call CCTK_InterpGV (ierror, cctkGH, interp_handle, coord_system_handle,
$ npoints, 1, 1,
$ xs, ys, zs,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL,
$ in_array_indices(1),
$ dgyys,
$ CCTK_VARIABLE_REAL)
CALL met_rad_der(origin,Dx,Dy,Dz,x,y,z,gyz,Extract_temp3d)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
call CCTK_InterpGV (ierror, cctkGH, interp_handle, coord_system_handle,
$ npoints, 1, 1,
$ xs, ys, zs,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL,
$ in_array_indices(1),
$ dgyzs,
$ CCTK_VARIABLE_REAL)
CALL met_rad_der(origin,Dx,Dy,Dz,x,y,z,gzz,Extract_temp3d)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
call CCTK_InterpGV (ierror, cctkGH, interp_handle, coord_system_handle,
$ npoints, 1, 1,
$ xs, ys, zs,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL,
$ in_array_indices(1),
$ dgzzs,
$ CCTK_VARIABLE_REAL)
c Calculate integrands for ADM masses
c -----------------------------------
c Standard equation
IF (do_ADMmass(1)) THEN
CALL ADMmass_integrand3D(origin,Dx,Dy,Dz,x,y,z,gxx,gxy,
& gxz,gyy,gyz,gzz,Extract_temp3d,Psi,Psi_power,conformal_state)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
call CCTK_InterpGV (ierror, cctkGH, interp_handle, coord_system_handle,
$ npoints, 1, 1,
$ xs, ys, zs,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL,
$ in_array_indices(1),
$ ADMmass_int1,
$ CCTK_VARIABLE_REAL)
END IF
c Conformal equation
IF (do_ADMmass(2)) THEN
ADMmass_int2 = -eta**2/2D0/3.1416D0*dPsis
ENDIF
c Calculate integrands for momentum
c ---------------------------------
IF (do_momentum==1) THEN
CALL momentum_integrand3D(origin,Dx,Dy,Dz,x,y,z,
& gxx,gxy,gxz,gyy,gyz,gzz,hxx,hxy,hxz,hyy,hyz,hzz,
& Extract_temp3d,Psi,Psi_power,conformal_state)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
call CCTK_InterpGV (ierror, cctkGH, interp_handle, coord_system_handle,
$ npoints, 1, 1,
$ xs, ys, zs,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL,
$ in_array_indices(1),
$ momentum_int1,
$ CCTK_VARIABLE_REAL)
CALL momentum_integrand3D(origin,Dx,Dy,Dz,x,y,z,
& gxx,gxy,gxz,gyy,gyz,gzz,hxx,hxy,hxz,hyy,hyz,hzz,
& Extract_temp3d,Psi,Psi_power,conformal_state)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
call CCTK_InterpGV (ierror, cctkGH, interp_handle, coord_system_handle,
$ npoints, 1, 1,
$ xs, ys, zs,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL,
$ in_array_indices(1),
$ momentum_int2,
$ CCTK_VARIABLE_REAL)
CALL momentum_integrand3D(origin,Dx,Dy,Dz,x,y,z,
& gxx,gxy,gxz,gyy,gyz,gzz,hxx,hxy,hxz,hyy,hyz,hzz,
& Extract_temp3d,Psi,Psi_power,conformal_state)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
call CCTK_InterpGV (ierror, cctkGH, interp_handle, coord_system_handle,
$ npoints, 1, 1,
$ xs, ys, zs,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL,
$ in_array_indices(1),
$ momentum_int3,
$ CCTK_VARIABLE_REAL)
END IF
c Calculate integrands for spin
c -----------------------------
IF (do_spin==1) THEN
CALL spin_integrand3D(origin,x,y,z,
& gxx,gxy,gxz,gyy,gyz,gzz,hxx,hxy,hxz,hyy,hyz,hzz,
& Extract_temp3d,Psi,Psi_power,conformal_state)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
call CCTK_InterpGV (ierror, cctkGH, interp_handle, coord_system_handle,
$ npoints, 1, 1,
$ xs, ys, zs,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL,
$ in_array_indices(1),
$ spin_int1,
$ CCTK_VARIABLE_REAL)
CALL spin_integrand3D(origin,x,y,z,
& gxx,gxy,gxz,gyy,gyz,gzz,hxx,hxy,hxz,hyy,hyz,hzz,
& Extract_temp3d,Psi,Psi_power,conformal_state)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
call CCTK_InterpGV (ierror, cctkGH, interp_handle, coord_system_handle,
$ npoints, 1, 1,
$ xs, ys, zs,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL,
$ in_array_indices(1),
$ spin_int2,
$ CCTK_VARIABLE_REAL)
CALL spin_integrand3D(origin,x,y,z,
& gxx,gxy,gxz,gyy,gyz,gzz,hxx,hxy,hxz,hyy,hyz,hzz,
& Extract_temp3d,Psi,Psi_power,conformal_state)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
call CCTK_InterpGV (ierror, cctkGH, interp_handle, coord_system_handle,
$ npoints, 1, 1,
$ xs, ys, zs,
$ CCTK_VARIABLE_REAL, CCTK_VARIABLE_REAL,
$ CCTK_VARIABLE_REAL,
$ in_array_indices(1),
$ spin_int3,
$ CCTK_VARIABLE_REAL)
END IF
END SUBROUTINE D3_to_D2
|
