bh_boundary_AH.f90

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00001 subroutine bh_boundary_AH(sou_surf,dsou_surf,char_mp)
00002   use phys_constant, only  : long
00003   use grid_parameter, only : nrg, ntg, npg, rgin
00004   use def_metric, only : psi
00005   use def_bh_parameter, only : ome_bh, spin_bh, alph_bh
00006   use def_binary_parameter,    only : sepa
00007   use def_metric_excurve_grid, only : tfkij_grid
00008   use def_vector_bh, only : hvec_bh_cbh_xg,hvec_bh_cm_phig,hvec_bh_cbh_phig
00009   use make_array_2d
00010   use interface_grdr_gridpoint_type0_nosym
00011   use interface_interpo_linear_type0_2Dsurf
00012   implicit none
00013   real(long), pointer :: sou_surf(:,:), dsou_surf(:,:)
00014   real(long), pointer :: psi_bhsurf(:,:), dpsi_bhsurf(:,:)
00015   real(long) :: work(2,2), deriv, dpsidr
00016   real(long) :: Aij_surf, Aij_sisj, si, sj
00017   real(long) :: psigc, psigc3, psigcinv2
00018   real(long) :: vphi_cm, vphi_cbh
00019   integer    :: itg, ipg, ii, jj
00020   character(len=4), intent(in) :: char_mp
00021 !
00022   call alloc_array2d(psi_bhsurf, 0, ntg, 0, npg)
00023   call alloc_array2d(dpsi_bhsurf, 0, ntg, 0, npg)
00024 !
00025   psi_bhsurf(0:ntg,0:npg) = psi(0,0:ntg,0:npg)
00026 !
00027   if (char_mp.eq.'psi '.or.char_mp.eq.'alps') then
00028     do ipg = 0, npg
00029       do itg = 0, ntg
00030         call grdr_gridpoint_type0_nosym(psi,deriv,0,itg,ipg)
00031         dpsi_bhsurf(itg,ipg) = deriv
00032       end do
00033     end do
00034 !
00035     do ipg = 1, npg
00036       do itg = 1, ntg
00037         call interpo_linear_type0_2Dsurf(dpsidr,dpsi_bhsurf,itg,ipg)
00038         call interpo_linear_type0_2Dsurf(psigc,psi_bhsurf,itg,ipg)
00039         psigc3 = psigc**3
00040         Aij_sisj = 0.0d0
00041         do ii = 1, 3
00042           do jj = 1, 3
00043             work(1:2,1:2) = tfkij_grid(0,itg-1:itg,ipg-1:ipg,ii,jj)
00044             call interpo_linear1p_type0_2Dsurf(Aij_surf,work)
00045             si = hvec_bh_cbh_xg(itg,ipg,ii)/rgin
00046             sj = hvec_bh_cbh_xg(itg,ipg,jj)/rgin
00047             Aij_sisj = Aij_sisj + Aij_surf*si*sj
00048           end do
00049         end do
00050         sou_surf(itg,ipg) = 2.0d0*rgin*(-dpsidr - 0.25d0*psigc3*Aij_sisj)
00051         dsou_surf(itg,ipg)= - 0.5d0*psigc/rgin  - 0.25d0*psigc3*Aij_sisj
00052       end do
00053     end do
00054     if (char_mp.eq.'alps') then
00055       sou_surf(1:ntg,1:npg) = alph_bh*sou_surf(1:ntg,1:npg)
00056       dsou_surf(1:ntg,1:npg)= alph_bh*dsou_surf(1:ntg,1:npg)
00057     end if
00058   end if
00059 !
00060   if (char_mp.eq.'bvxd'.or.char_mp.eq.'bvyd'.or.char_mp.eq.'bvzd') then  
00061     if (char_mp.eq.'bvxd') ii = 1
00062     if (char_mp.eq.'bvyd') ii = 2
00063     if (char_mp.eq.'bvzd') ii = 3
00064 !    
00065     do ipg = 1, npg
00066       do itg = 1, ntg
00067         call interpo_linear_type0_2Dsurf(psigc,psi_bhsurf,itg,ipg)
00068         psigcinv2 = 1.0d0/psigc**2
00069         si = hvec_bh_cbh_xg(itg,ipg,ii)/rgin
00070         vphi_cm  = hvec_bh_cm_phig(itg,ipg,ii)
00071         vphi_cbh = hvec_bh_cbh_phig(itg,ipg,ii)
00072         sou_surf(itg,ipg) = alph_bh*psigcinv2*si &
00073 !test        sou_surf(itg,ipg) =  &
00074         &                 - ome_bh*vphi_cm - spin_bh*vphi_cbh
00075       end do
00076     end do
00077   end if
00078 !
00079   deallocate(psi_bhsurf)
00080   deallocate(dpsi_bhsurf)
00081 end subroutine bh_boundary_AH

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