00001 subroutine poisson_solver_bhex_surf_int_all(sou_iosurf,pot)
00002 use phys_constant, only : long, pi
00003 use grid_parameter, only : nrg, npg, ntg, nlg
00004 use radial_green_fn_grav, only : gfnsf
00005 use legendre_fn_grav, only : plmg, hplmg, facnmg, epsig
00006 use trigonometry_grav_theta
00007 use trigonometry_grav_phi, only : sinmpg, cosmpg, hsinmpg, hcosmpg
00008 use grid_points_binary_excision, only : ihpg_exin, ihpg_exout
00009 use weight_midpoint_grav, only : hwtpgsf
00010 use make_array_3d
00011 implicit none
00012
00013 integer :: ia, im, il, nlgtmp
00014 integer :: ir, irr, it, itt, ip, ipp
00015
00016 real(long) :: pef, wok, pi4inv
00017 real(long), pointer :: pot(:,:,:)
00018 real(long), pointer :: sou_iosurf(:,:,:)
00019 real(long), pointer :: work1c(:,:,:)
00020 real(long), pointer :: work2c(:,:,:)
00021 real(long), pointer :: work3c(:,:,:)
00022 real(long), pointer :: work4c(:,:,:)
00023 real(long), pointer :: work1s(:,:,:)
00024 real(long), pointer :: work2s(:,:,:)
00025 real(long), pointer :: work3s(:,:,:)
00026 real(long), pointer :: work4s(:,:,:)
00027
00028
00029 call alloc_array3d(work1c, 1, ntg, 0, nlg, 1, 4)
00030 call alloc_array3d(work1s, 1, ntg, 0, nlg, 1, 4)
00031 call alloc_array3d(work2c, 0, nlg, 0, nlg, 1, 4)
00032 call alloc_array3d(work2s, 0, nlg, 0, nlg, 1, 4)
00033 call alloc_array3d(work3c, 0, nlg, 0, nlg, 0, nrg)
00034 call alloc_array3d(work3s, 0, nlg, 0, nlg, 0, nrg)
00035 call alloc_array3d(work4c, 0, nlg, 0, nrg, 0, ntg)
00036 call alloc_array3d(work4s, 0, nlg, 0, nrg, 0, ntg)
00037
00038 work1c = 0.0
00039 work1s = 0.0
00040 irr = 0
00041 do ia = 1, 4
00042 do im = 0, nlg
00043 do itt = 1, ntg
00044 do ipp = 1, npg
00045 wok = hwtpgsf(itt,ipp)*sou_iosurf(itt,ipp,ia)
00046 work1c(itt,im,ia) = work1c(itt,im,ia) + wok*hcosmpg(im,ipp)
00047 work1s(itt,im,ia) = work1s(itt,im,ia) + wok*hsinmpg(im,ipp)
00048 end do
00049 end do
00050 end do
00051 end do
00052
00053 work2c = 0.0d0
00054 work2s = 0.0d0
00055 do ia = 1, 4
00056 do il = 0, nlg
00057 do im = 0, nlg
00058 pef = epsig(im)*facnmg(il,im)
00059 do itt = 1, ntg
00060 wok = pef*hplmg(il,im,itt)
00061 work2c(il,im,ia) = work2c(il,im,ia) + wok*work1c(itt,im,ia)
00062 work2s(il,im,ia) = work2s(il,im,ia) + wok*work1s(itt,im,ia)
00063 end do
00064 end do
00065 end do
00066 end do
00067
00068 work3c = 0.0d0
00069 work3s = 0.0d0
00070 do ir = 0, nrg
00071 do il = 0, nlg
00072 do im = 0, nlg
00073 work3c(il,im,ir) = &
00074 & + work2c(il,im,1)*gfnsf(il,ir,1) &
00075 & - work2c(il,im,2)*gfnsf(il,ir,2) &
00076 & + work2c(il,im,3)*gfnsf(il,ir,3) &
00077 & - work2c(il,im,4)*gfnsf(il,ir,4)
00078 work3s(il,im,ir) = &
00079 & + work2s(il,im,1)*gfnsf(il,ir,1) &
00080 & - work2s(il,im,2)*gfnsf(il,ir,2) &
00081 & + work2s(il,im,3)*gfnsf(il,ir,3) &
00082 & - work2s(il,im,4)*gfnsf(il,ir,4)
00083 end do
00084 end do
00085 end do
00086
00087 work4c = 0.0d0
00088 work4s = 0.0d0
00089 do it = 0, ntg
00090 do ir = 0, nrg
00091 do im = 0, nlg
00092 do il = 0, nlg
00093 work4c(im,ir,it) = work4c(im,ir,it) &
00094 & + work3c(il,im,ir)*plmg(il,im,it)
00095 work4s(im,ir,it) = work4s(im,ir,it) &
00096 & + work3s(il,im,ir)*plmg(il,im,it)
00097 end do
00098 end do
00099 end do
00100 end do
00101
00102 pot = 0.0d0
00103 do ip = 0, npg
00104 do it = 0, ntg
00105 do ir = 0, nrg
00106 do im = 0, nlg
00107 pot(ir,it,ip) = pot(ir,it,ip) &
00108 & + work4c(im,ir,it)*cosmpg(im,ip) &
00109 & + work4s(im,ir,it)*sinmpg(im,ip)
00110 end do
00111 end do
00112 end do
00113 end do
00114
00115 pi4inv = 1.0d0/4.0d0/pi
00116 pot = pi4inv*pot
00117
00118 deallocate(work1c)
00119 deallocate(work1s)
00120 deallocate(work2c)
00121 deallocate(work2s)
00122 deallocate(work3c)
00123 deallocate(work3s)
00124 deallocate(work4c)
00125 deallocate(work4s)
00126
00127 end subroutine poisson_solver_bhex_surf_int_all