subroutine RadiationTwoStreamAppCore( xyz_SSA, xyz_AF, SolarFluxTOA, xy_SurfAlbedo, IDScheme, xy_InAngle, xyr_OptDep, xyr_RadFlux, js, je )
! USE statements
!
! メッセージ出力
! Message output
!
use dc_message, only: MessageNotify
!
! Physical constants settings
!
use constants, only: Grav, CpDry, PI, StB ! $ \sigma_{SB} $ .
! ステファンボルツマン定数.
! Stefan-Boltzmann constant
! 格子点設定
! Grid points settings
!
use gridset, only: imax, jmax, kmax ! 鉛直層数.
! Number of vertical level
!!$ use pf_module , only : pfint_gq_array
real(DP), intent(in ) :: xyz_SSA ( 0:imax-1, 1:jmax, 1:kmax )
real(DP), intent(in ) :: xyz_AF ( 0:imax-1, 1:jmax, 1:kmax )
real(DP), intent(in ) :: SolarFluxTOA
real(DP), intent(in ) :: xy_SurfAlbedo ( 0:imax-1, 1:jmax )
integer , intent(in ) :: IDScheme
real(DP), intent(in ) :: xy_InAngle (0:imax-1, 1:jmax)
! sec (入射角).
! sec (angle of incidence)
real(DP), intent(in ) :: xyr_OptDep ( 0:imax-1, 1:jmax, 0:kmax )
real(DP), intent(out) :: xyr_RadFlux ( 0:imax-1, 1:jmax, 0:kmax )
integer , intent(in ) :: js
integer , intent(in ) :: je
!!$ real(DP), intent(in ) :: gt ( 0:imax-1, 1:jmax, 1:kmax )
!!$ real(DP), intent(in ) :: gts ( 0:imax-1, 1:jmax )
!!$ real(DP), intent(in ) :: gph ( 0:imax-1, 1:jmax, 0:kmax )
!!$ real(DP), intent(in ) :: emis ( 0:imax-1, 1:jmax )
!!$ real(DP), intent(in ) :: wn1, wn2
!!$ integer , intent(in ) :: divnum
!!$ real(DP) , intent(out) :: &
!!$ gor ( im, jm ), goru ( im, jm ), gord ( im, jm ), &
!!$ gsr ( im, jm ), gsru ( im, jm ), gsrd ( im, jm )
!
! ssa2 : Delta-Function Adjusted Single-Scattering Albedo
! af2 : Delta-Function Adjusted Asymmetry Factor
! opdep2 : Delta-Function Adjusted Optical Depth
!
real(DP) :: xyz_SSA2 ( 0:imax-1, 1:jmax, 1:kmax )
real(DP) :: xyz_AF2 ( 0:imax-1, 1:jmax, 1:kmax )
real(DP) :: xyr_OpDep2( 0:imax-1, 1:jmax, 0:kmax )
real(DP) :: xyr_Trans2( 0:imax-1, 1:jmax, 0:kmax )
!
! gam? : Coefficients of Generalized Radiative Transfer Equation
!
real(DP) :: xyz_Gam1( 0:imax-1, 1:jmax, 1:kmax )
real(DP) :: xyz_Gam2( 0:imax-1, 1:jmax, 1:kmax )
real(DP) :: xyz_Gam3( 0:imax-1, 1:jmax, 1:kmax )
real(DP) :: xyz_Gam4( 0:imax-1, 1:jmax, 1:kmax )
!
! upfl : Upward Flux
! dofl : Downward Flux
!
real(DP) :: xyr_UwFlux( 0:imax-1, 1:jmax, 0:kmax )
real(DP) :: xyr_DwFlux( 0:imax-1, 1:jmax, 0:kmax )
!
! cosz : cosine of solar zenith angle
! cosz2 : cosz squared
!
real(DP) :: xy_cosSZA ( 0:imax-1, 1:jmax )
real(DP) :: xy_cosSZAInv ( 0:imax-1, 1:jmax )
real(DP) :: xy_cosSZAInvsq( 0:imax-1, 1:jmax )
!
! temporary variables
!
real(DP) :: xyz_DTau( 0:imax-1, 1:jmax, 1:kmax )
integer :: i, j, k, l
integer :: ms, me
real(DP) :: xyz_Lambda ( 0:imax-1, 1:jmax, 1:kmax )
real(DP) :: xyz_LSigma ( 0:imax-1, 1:jmax, 1:kmax )
real(DP) :: xyaz_smalle( 0:imax-1, 1:jmax, 4, 1:kmax )
!
! cupb : upward C at bottom of layer
! cupt : upward C at top of layer
! cdob : downward C at bottom of layer
! cdot : downward C at top of layer
!
real(DP) :: xyz_cupb( 0:imax-1, 1:jmax, 1:kmax )
real(DP) :: xyz_cupt( 0:imax-1, 1:jmax, 1:kmax )
real(DP) :: xyz_cdob( 0:imax-1, 1:jmax, 1:kmax )
real(DP) :: xyz_cdot( 0:imax-1, 1:jmax, 1:kmax )
real(DP) :: aa_TridiagMtx1( 1:imax*jmax, 1:kmax*2 )
real(DP) :: aa_TridiagMtx2( 1:imax*jmax, 1:kmax*2 )
real(DP) :: aa_TridiagMtx3( 1:imax*jmax, 1:kmax*2 )
real(DP) :: aa_Vec ( 1:imax*jmax, 1:kmax*2 )
real(DP) :: xy_TMPVal( 0:imax-1, 1:jmax )
!!$ real(DP) :: mu1
!!$ real(DP) :: gth( im, jm, km+1 ), pfinth( im, jm, km+1 )
!!$ real(DP) :: b0( ijs:ije, 1, km ), b1( ijs:ije, 1, km )
!!$ real(DP) :: gemis
!!$ real(DP) :: inteup( 0:imax-1, 1:jmax, 0:kmax )
!!$ real(DP) :: intedo( 0:imax-1, 1:jmax, 0:kmax )
!!$ real(DP) :: tmpg, tmph, tmpj, tmpk, alp1, alp2, sig1, sig2
!!$ real(DP) :: tmpcos
!!$! integer(i4b), parameter :: quadn = 3
!!$ integer(i4b), parameter :: quadn = 5
!!$! integer(i4b), parameter :: quadn = 8
!!$ real(DP) :: qucos ( quadn ), qudcos( quadn )
! Variables for debug
!
!!$ real(DP) :: xyr_UwFluxDebug( 0:imax-1, 1:jmax, 0:kmax )
!!$ real(DP) :: xyr_DwFluxDebug( 0:imax-1, 1:jmax, 0:kmax )
!!$ call gauleg( 0.0d0, 1.0d0, quadn, qucos, qudcos )
do k = 1, kmax
do j = js, je
do i = 0, imax-1
if ( xyz_ssa(i,j,k) >= 1.0d0 ) then
call MessageNotify( 'E', module_name, 'Single Scattering Albedo = %f', d = (/ xyz_ssa(i,j,k) /) )
end if
end do
end do
end do
if( IDScheme .eq. IDSchemeShortWave ) then
do j = js, je
do i = 0, imax-1
if ( xy_InAngle(i,j) > 0.0d0 ) then
xy_cosSZA (i,j) = 1.0d0 / xy_InAngle(i,j)
xy_cosSZAInv (i,j) = xy_InAngle(i,j)
xy_cosSZAInvsq(i,j) = xy_cosSZAInv(i,j)**2
else
xy_cosSZA (i,j) = 0.0d0
xy_cosSZAInv (i,j) = 0.0d0
xy_cosSZAInvsq(i,j) = 0.0d0
end if
end do
end do
!!$ gth(:,:,:) = 1.0d100
!!$ else
!!$
!!$ stop 'sw != 1 is not supported.'
!!$
!!$ do ij = ijs, ije
!!$ cosz ( ij, 1 ) = 1.0d100
!!$ cosz2( ij, 1 ) = 1.0d100
!!$ end do
!!$
!!$ do ij = ijs, ije
!!$ gth( ij, 1, 1 ) = gt( ij, 1, 1 )
!!$ end do
!!$ do k = 2, km+1-1
!!$ do ij = ijs, ije
!!$ gth( ij, 1, k ) = ( gt( ij, 1, k-1 ) + gt( ij, 1, k ) ) * 0.5d0
!!$ end do
!!$ end do
!!$ do ij = ijs, ije
!!$ gth( ij, 1, km+1 ) = gts( ij, 1 )
!!$ end do
!!$! call pfint_array( wn1, wn2, divnum, im, jm, km+1, gth, pfinth, &
!!$! ijs, ije )
!!$ call pfint_gq_array( wn1, wn2, divnum, im, jm, km+1, gth, pfinth, &
!!$ ijs, ije )
else
stop 'Unexpected sw number in twostreamapp.f90'
end if
if( IDScheme .eq. IDSchemeShortWave ) then
!
! Delta-Function Adjustment
!
do k = 1, kmax
do j = js, je
xyz_AF2 (:,j,k) = xyz_AF(:,j,k) / ( 1.0d0 + xyz_AF(:,j,k) )
xyz_SSA2(:,j,k) = ( 1.0d0 - xyz_AF(:,j,k)**2 ) * xyz_SSA(:,j,k) / ( 1.0d0 - xyz_SSA(:,j,k) * xyz_AF(:,j,k)**2 )
end do
end do
!!$ opdep2(:,:,:) = ( 1.0d0 - xyz_ssa * xyz_af**2 ) * opdep(:,:,:)
do k = 0, kmax
do j = js, je
xyr_OpDep2(:,j,k) = 0.0d0
end do
end do
do k = kmax-1, 0, -1
do j = js, je
xyr_OpDep2(:,j,k) = xyr_OpDep2(:,j,k+1) + ( 1.0d0 - xyz_SSA(:,j,k+1) * xyz_AF(:,j,k+1)**2 ) * ( xyr_OptDep(:,j,k) - xyr_OptDep(:,j,k+1) )
end do
end do
do k = 0, kmax
do j = js, je
xyr_Trans2(:,j,k) = exp( -xyr_OpDep2(:,j,k) * xy_cosSZAInv(:,j) )
end do
end do
!
! Eddington approximation
!
do k = 1, kmax
do j = js, je
xyz_Gam1(:,j,k) = ( 7.0d0 - xyz_SSA2(:,j,k) * ( 4.0d0 + 3.0d0 * xyz_AF2(:,j,k) ) ) / 4.0d0
xyz_Gam2(:,j,k) = -( 1.0d0 - xyz_SSA2(:,j,k) * ( 4.0d0 - 3.0d0 * xyz_AF2(:,j,k) ) ) / 4.0d0
xyz_Gam3(:,j,k) = ( 2.0d0 - 3.0d0 * xyz_AF2(:,j,k) * xy_cosSZA(:,j) ) / 4.0d0
xyz_Gam4(:,j,k) = 1.0d0 - xyz_Gam3(:,j,k)
end do
end do
!!$ else if( sw .eq. 2 ) then
!!$
!!$ !
!!$ ! In infrared, delta-function adjustment is not done.
!!$ !
!!$ af2 = af
!!$ ssa2 = ssa
!!$
!!$ do k = 1, km+1
!!$ do ij = ijs, ije
!!$ opdep2( ij, 1, k ) = opdep( ij, 1, k )
!!$ end do
!!$ end do
!!$
!!$ do k = 1, km+1
!!$ do ij = ijs, ije
!!$ exp_opdep2( ij, 1, k ) = 1.0d100
!!$ end do
!!$ end do
!!$
!!$ !
!!$ ! Hemispheric mean approximation
!!$ !
!!$ do k = 1, km
!!$ do ij = ijs, ije
!!$ gam1( ij, 1, k ) = 2.0d0 - ssa2 * ( 1.0d0 + af2 )
!!$ gam2( ij, 1, k ) = ssa2 * ( 1.0d0 - af2 )
!!$ gam3( ij, 1, k ) = 1.0d100
!!$ gam4( ij, 1, k ) = 1.0d100
!!$ end do
!!$ end do
else
stop 'Unexpected sw number in twostreamapp.f90'
end if
do k = 1, kmax
do j = js, je
xyz_DTau(:,j,k) = xyr_OpDep2(:,j,k-1) - xyr_OpDep2(:,j,k)
end do
end do
!
! Avoiding singularity when dtau equal to zero
!
do k = 1, kmax
do j = js, je
do i = 0, imax-1
if( ( IDScheme .eq. IDSchemeLongWave ) .and. ( xyz_DTau(i,j,k) .lt. 1.0d-10 ) ) then
xyz_DTau(i,j,k) = 0.0d0
end if
end do
end do
end do
do k = 1, kmax
do j = js, je
xyz_Lambda(:,j,k) = sqrt( xyz_Gam1(:,j,k) * xyz_Gam1(:,j,k) - xyz_Gam2(:,j,k) * xyz_Gam2(:,j,k) )
xyz_LSigma(:,j,k) = xyz_Gam2(:,j,k) / ( xyz_Gam1(:,j,k) + xyz_Lambda(:,j,k) )
end do
end do
do k = 1, kmax
do j = js, je
xy_TMPVal(:,j) = exp( - xyz_Lambda(:,j,k) * xyz_DTau(:,j,k) )
xyaz_smalle(:,j,1,k) = xyz_LSigma(:,j,k) * xy_TMPVal(:,j) + 1.0_DP
xyaz_smalle(:,j,2,k) = xyz_LSigma(:,j,k) * xy_TMPVal(:,j) - 1.0_DP
xyaz_smalle(:,j,3,k) = xy_TMPVal(:,j) + xyz_LSigma(:,j,k)
xyaz_smalle(:,j,4,k) = xy_TMPVal(:,j) - xyz_LSigma(:,j,k)
end do
end do
if( IDScheme .eq. IDSchemeShortWave ) then
do k = 1, kmax
do j = js, je
! Lines below will be deleted in future (yot, 2010/09/14).
!!$ xyz_cupb(:,j,k) = &
!!$ & xyz_SSA2(:,j,k) * SolarFluxTOA * xyr_Trans2(:,j,k-1) &
!!$ & * ( ( xyz_Gam1(:,j,k) - xy_cosSZAInv(:,j) ) * xyz_Gam3(:,j,k) &
!!$ & + xyz_Gam2(:,j,k) * xyz_Gam4(:,j,k) ) &
!!$ & / ( xyz_Lambda(:,j,k) * xyz_Lambda(:,j,k) - xy_cosSZAInvsq(:,j) )
!!$ xyz_cupt(:,j,k) = &
!!$ & xyz_SSA2(:,j,k) * SolarFluxTOA * xyr_Trans2(:,j,k ) &
!!$ & * ( ( xyz_Gam1(:,j,k) - xy_cosSZAInv(:,j) ) * xyz_Gam3(:,j,k) &
!!$ & + xyz_Gam2(:,j,k) * xyz_Gam4(:,j,k) ) &
!!$ & / ( xyz_Lambda(:,j,k) * xyz_Lambda(:,j,k) - xy_cosSZAInvsq(:,j) )
!!$ xyz_cdob(:,j,k) = &
!!$ & xyz_SSA2(:,j,k) * SolarFluxTOA * xyr_Trans2(:,j,k-1) &
!!$ & * ( ( xyz_Gam1(:,j,k) + xy_cosSZAInv(:,j) ) * xyz_Gam4(:,j,k) &
!!$ & + xyz_Gam2(:,j,k) * xyz_Gam3(:,j,k) ) &
!!$ & / ( xyz_Lambda(:,j,k) * xyz_Lambda(:,j,k) - xy_cosSZAInvsq(:,j) )
!!$ xyz_cdot(:,j,k) = &
!!$ & xyz_SSA2(:,j,k) * SolarFluxTOA * xyr_Trans2(:,j,k ) &
!!$ & * ( ( xyz_Gam1(:,j,k) + xy_cosSZAInv(:,j) ) * xyz_Gam4(:,j,k) &
!!$ & + xyz_Gam2(:,j,k) * xyz_Gam3(:,j,k) ) &
!!$ & / ( xyz_Lambda(:,j,k) * xyz_Lambda(:,j,k) - xy_cosSZAInvsq(:,j) )
xy_TMPVal(:,j) = xyz_SSA2(:,j,k) * SolarFluxTOA * ( ( xyz_Gam1(:,j,k) - xy_cosSZAInv(:,j) ) * xyz_Gam3(:,j,k) + xyz_Gam2(:,j,k) * xyz_Gam4(:,j,k) ) / ( xyz_Lambda(:,j,k) * xyz_Lambda(:,j,k) - xy_cosSZAInvsq(:,j) )
xyz_cupb(:,j,k) = xy_TMPVal(:,j) * xyr_Trans2(:,j,k-1)
xyz_cupt(:,j,k) = xy_TMPVal(:,j) * xyr_Trans2(:,j,k )
xy_TMPVal(:,j) = xyz_SSA2(:,j,k) * SolarFluxTOA * ( ( xyz_Gam1(:,j,k) + xy_cosSZAInv(:,j) ) * xyz_Gam4(:,j,k) + xyz_Gam2(:,j,k) * xyz_Gam3(:,j,k) ) / ( xyz_Lambda(:,j,k) * xyz_Lambda(:,j,k) - xy_cosSZAInvsq(:,j) )
xyz_cdob(:,j,k) = xy_TMPVal(:,j) * xyr_Trans2(:,j,k-1)
xyz_cdot(:,j,k) = xy_TMPVal(:,j) * xyr_Trans2(:,j,k )
end do
end do
!!$ else if( sw .eq. 2 ) then
!!$
!!$ do k = 1, km
!!$ do ij = ijs, ije
!!$ !
!!$ ! Notice!
!!$ ! Avoiding singularity when dtau equal to zero.
!!$ ! dtau occationally has much smaller value.
!!$ ! When this occurs, b1 cannot be calculated correctly.
!!$ !
!!$ if( dtau( ij, 1, k ) .ne. 0.0d0 ) then
!!$ b0( ij, 1, k ) = pfinth( ij, 1, k )
!!$ b1( ij, 1, k ) = ( pfinth( ij, 1, k+1 ) - pfinth( ij, 1, k ) ) / dtau( ij, 1, k )
!!$ else
!!$ b0( ij, 1, k ) = 0.0d0
!!$ b1( ij, 1, k ) = 0.0d0
!!$ end if
!!$
!!$ end do
!!$ end do
!!$
!!$ do k = 1, km
!!$ do ij = ijs, ije
!!$ mu1 = ( 1.0d0 - ssa2 ) / ( gam1( ij, 1, k ) - gam2( ij, 1, k ) )
!!$
!!$ cupb( ij, 1, k ) = pix2 * mu1 * ( b0( ij, 1, k ) &
!!$ + b1( ij, 1, k ) &
!!$ * ( dtau( ij, 1, k ) + 1.0d0 / ( gam1( ij, 1, k ) + gam2( ij, 1, k ) ) ) )
!!$ cupt( ij, 1, k ) = pix2 * mu1 * ( b0( ij, 1, k ) &
!!$ + b1( ij, 1, k ) &
!!$ * ( 0.0d0 + 1.0d0 / ( gam1( ij, 1, k ) + gam2( ij, 1, k ) ) ) )
!!$ cdob( ij, 1, k ) = pix2 * mu1 * ( b0( ij, 1, k ) &
!!$ + b1( ij, 1, k ) &
!!$ * ( dtau( ij, 1, k ) - 1.0d0 / ( gam1( ij, 1, k ) + gam2( ij, 1, k ) ) ) )
!!$ cdot( ij, 1, k ) = pix2 * mu1 * ( b0( ij, 1, k ) &
!!$ + b1( ij, 1, k ) &
!!$ * ( 0.0d0 - 1.0d0 / ( gam1( ij, 1, k ) + gam2( ij, 1, k ) ) ) )
!!$ end do
!!$ end do
!!$
else
stop 'Unexpected sw number in twostreamapp.f90'
end if
k = 1
l = 1
do j = js, je
do i = 0, imax-1
aa_TridiagMtx1( i+imax*(j-1)+1, l ) = 0.0_DP
aa_TridiagMtx2( i+imax*(j-1)+1, l ) = xyaz_smalle(i,j,1,k) - xy_SurfAlbedo(i,j) * xyaz_smalle(i,j,3,k)
aa_TridiagMtx3( i+imax*(j-1)+1, l ) = - ( xyaz_smalle(i,j,2,k) - xy_SurfAlbedo(i,j) * xyaz_smalle(i,j,4,k) )
end do
end do
if( IDScheme .eq. IDSchemeShortWave ) then
do j = js, je
do i = 0, imax-1
aa_Vec( i+imax*(j-1)+1, l ) = - xyz_cupb(i,j,k) + xy_SurfAlbedo(i,j) * xyz_cdob(i,j,k) + xy_SurfAlbedo(i,j) * SolarFluxTOA * xyr_Trans2(i,j,0) * xy_cosSZA(i,j)
end do
end do
!!$ else if( sw .eq. 2 ) then
!!$ do ij = ijs, ije
!!$! gemis = 1.0d0
!!$ gemis = emis( ij, 1 )
!!$ ea( (ij-ijs+1), l ) &
!!$ = -cupb( ij, 1, km ) + ( 1.0d0 - gemis ) * cdob( ij, 1, km ) &
!!$ + gemis * pi * pfinth( ij, 1, km+1 )
!!$ end do
else
stop 'Unexpected sw number in twostreamapp.f90'
end if
do k = 1, kmax-1
do j = js, je
do i = 0, imax-1
l = 2 * k ! equation number
!
aa_TridiagMtx1( i+imax*(j-1)+1, l ) = xyaz_smalle(i,j,1,k ) * xyaz_smalle(i,j,2,k+1) - xyaz_smalle(i,j,3,k ) * xyaz_smalle(i,j,4,k+1)
aa_TridiagMtx2( i+imax*(j-1)+1, l ) = xyaz_smalle(i,j,2,k ) * xyaz_smalle(i,j,2,k+1) - xyaz_smalle(i,j,4,k ) * xyaz_smalle(i,j,4,k+1)
aa_TridiagMtx3( i+imax*(j-1)+1, l ) = xyaz_smalle(i,j,1,k+1) * xyaz_smalle(i,j,4,k+1) - xyaz_smalle(i,j,2,k+1) * xyaz_smalle(i,j,3,k+1)
aa_Vec ( i+imax*(j-1)+1, l ) = xyaz_smalle(i,j,2,k+1) * ( - xyz_cdot(i,j,k ) + xyz_cdob(i,j,k+1) ) - xyaz_smalle(i,j,4,k+1) * ( - xyz_cupt(i,j,k ) + xyz_cupb(i,j,k+1) )
l = 2 * k + 1 ! equation number
!
aa_TridiagMtx1( i+imax*(j-1)+1, l ) = xyaz_smalle(i,j,2,k ) * xyaz_smalle(i,j,3,k ) - xyaz_smalle(i,j,1,k ) * xyaz_smalle(i,j,4,k )
aa_TridiagMtx2( i+imax*(j-1)+1, l ) = xyaz_smalle(i,j,1,k ) * xyaz_smalle(i,j,1,k+1) - xyaz_smalle(i,j,3,k ) * xyaz_smalle(i,j,3,k+1)
aa_TridiagMtx3( i+imax*(j-1)+1, l ) = xyaz_smalle(i,j,3,k ) * xyaz_smalle(i,j,4,k+1) - xyaz_smalle(i,j,1,k ) * xyaz_smalle(i,j,2,k+1)
aa_Vec ( i+imax*(j-1)+1, l ) = xyaz_smalle(i,j,3,k ) * ( - xyz_cdot(i,j,k ) + xyz_cdob(i,j,k+1) ) - xyaz_smalle(i,j,1,k ) * ( - xyz_cupt(i,j,k ) + xyz_cupb(i,j,k+1) )
end do
end do
end do
k = kmax
l = 2 * kmax
do j = js, je
do i = 0, imax-1
aa_TridiagMtx1( i+imax*(j-1)+1, l ) = xyaz_smalle(i,j,1,k)
aa_TridiagMtx2( i+imax*(j-1)+1, l ) = xyaz_smalle(i,j,2,k)
aa_TridiagMtx3( i+imax*(j-1)+1, l ) = 0.0d0
aa_Vec ( i+imax*(j-1)+1, l ) = -xyz_cdot(i,j,k) + 0.0d0
end do
end do
ms = 0 + imax*(js-1)+1
me = imax-1 + imax*(je-1)+1
call tridiag( imax*jmax, 2*kmax, aa_TridiagMtx1, aa_TridiagMtx2, aa_TridiagMtx3, aa_Vec, ms, me )
if( IDScheme .eq. IDSchemeShortWave ) then
k = 1
do j = js, je
do i = 0, imax-1
xyr_UwFlux(i,j,k-1) = aa_Vec( i+imax*(j-1)+1, 2*k-1) * xyaz_smalle(i,j,1,k) - aa_Vec( i+imax*(j-1)+1, 2*k ) * xyaz_smalle(i,j,2,k) + xyz_cupb(i,j,k)
xyr_DwFlux(i,j,k-1) = aa_Vec( i+imax*(j-1)+1, 2*k-1) * xyaz_smalle(i,j,3,k) - aa_Vec( i+imax*(j-1)+1, 2*k ) * xyaz_smalle(i,j,4,k) + xyz_cdob(i,j,k)
end do
end do
do k = 1, kmax
do j = js, je
do i = 0, imax-1
xyr_UwFlux(i,j,k) = aa_Vec( i+imax*(j-1)+1, 2*k-1) * xyaz_smalle(i,j,3,k) + aa_Vec( i+imax*(j-1)+1, 2*k ) * xyaz_smalle(i,j,4,k) + xyz_cupt(i,j,k)
xyr_DwFlux(i,j,k) = aa_Vec( i+imax*(j-1)+1, 2*k-1) * xyaz_smalle(i,j,1,k) + aa_Vec( i+imax*(j-1)+1, 2*k ) * xyaz_smalle(i,j,2,k) + xyz_cdot(i,j,k)
end do
end do
end do
! Code for debug
!
!!$ do k = 1, kmax
!!$ do j = js, je
!!$ do i = 0, imax-1
!!$ xyr_UwFluxDebug(i,j,k-1) = &
!!$ & aa_Vec( i+imax*(j-1)+1, 2*k-1) * xyaz_smalle(i,j,1,k) &
!!$ & - aa_Vec( i+imax*(j-1)+1, 2*k ) * xyaz_smalle(i,j,2,k) &
!!$ & + xyz_cupb(i,j,k)
!!$ xyr_DwFluxDebug(i,j,k-1) = &
!!$ & aa_Vec( i+imax*(j-1)+1, 2*k-1) * xyaz_smalle(i,j,3,k) &
!!$ & - aa_Vec( i+imax*(j-1)+1, 2*k ) * xyaz_smalle(i,j,4,k) &
!!$ & + xyz_cdob(i,j,k)
!!$ end do
!!$ end do
!!$ end do
!!$
!!$ k = kmax
!!$ do j = js, je
!!$ do i = 0, imax-1
!!$ xyr_UwFluxDebug(i,j,k) = &
!!$ & aa_Vec( i+imax*(j-1)+1, 2*k-1) * xyaz_smalle(i,j,3,k) &
!!$ & + aa_Vec( i+imax*(j-1)+1, 2*k ) * xyaz_smalle(i,j,4,k) &
!!$ & + xyz_cupt(i,j,k)
!!$ xyr_DwFluxDebug(i,j,k) = &
!!$ & aa_Vec( i+imax*(j-1)+1, 2*k-1) * xyaz_smalle(i,j,1,k) &
!!$ & + aa_Vec( i+imax*(j-1)+1, 2*k ) * xyaz_smalle(i,j,2,k) &
!!$ & + xyz_cdot(i,j,k)
!!$ end do
!!$ end do
!!$
!!$
!!$ i = imax/2
!!$ j = jmax/2
!!$ do k = kmax, 0, -1
!!$ write( 6, * ) k, xyr_UwFlux(i,j,k), xyr_UwFluxDebug(i,j,k), xyr_UwFlux(i,j,k) - xyr_UwFluxDebug(i,j,k)
!!$ end do
!!$ do k = kmax, 0, -1
!!$ write( 6, * ) k, xyr_DwFlux(i,j,k), xyr_DwFluxDebug(i,j,k), xyr_DwFlux(i,j,k) - xyr_DwFluxDebug(i,j,k)
!!$ end do
!!$ k = 0
!!$ write( 6, * ) k, xyr_UwFlux(i,j,k), xy_SurfAlbedo(i,j) * xyr_DwFlux(i,j,k) + xy_SurfAlbedo(i,j) * SolarFluxTOA * xyr_Trans2(i,j,0) * xy_cosSZA(i,j), &
!!$ xyr_UwFlux(i,j,k) - ( xy_SurfAlbedo(i,j) * xyr_DwFlux(i,j,k) + xy_SurfAlbedo(i,j) * SolarFluxTOA * xyr_Trans2(i,j,0) * xy_cosSZA(i,j) )
!!$ stop
!
! Addition of Direct Solar Insident
!
do k = 0, kmax
do j = js, je
xyr_DwFlux(:,j,k) = xyr_DwFlux(:,j,k) + SolarFluxTOA * xyr_Trans2(:,j,k) * xy_cosSZA(:,j)
end do
end do
!!$ else if( sw .eq. 2 ) then
!!$
!!$ ! Source function technique described by Toon et al. [1989]
!!$ ! is used to calculated infrared heating rate.
!!$ !
!!$ do k = 1, km+1
!!$ do ij = ijs, ije
!!$ upfl( ij, 1, k ) = 0.0d0
!!$ dofl( ij, 1, k ) = 0.0d0
!!$ end do
!!$ end do
!!$
!!$ do l = 1, quadn
!!$ tmpcos = qucos( l )
!!$
!!$ k = 1
!!$ do ij = ijs, ije
!!$ intedo( ij, 1, k ) = 0.0d0
!!$ end do
!!$ do k = 1, km
!!$ do ij = ijs, ije
!!$ tmpj = ( ea( (ij-ijs+1), k+k-1 ) + ea( (ij-ijs+1), k+k ) ) * lsigma( ij, 1, k ) &
!!$ * ( lambda( ij, 1, k ) + 2.0d0 )
!!$ tmpk = ( ea( (ij-ijs+1), k+k-1 ) - ea( (ij-ijs+1), k+k ) ) &
!!$ * ( 2.0d0 - lambda( ij, 1, k ) )
!!$ sig1 = pix2 * ( b0( ij, 1, k ) &
!!$ - b1( ij, 1, k ) &
!!$ * ( 1.0d0 / ( gam1( ij, 1, k ) + gam2( ij, 1, k ) ) - 0.5d0 ) )
!!$ sig2 = pix2 * b1( ij, 1, k )
!!$ intedo( ij, 1, k+1 ) = intedo( ij, 1, k ) &
!!$ * exp( -dtau( ij, 1, k ) / tmpcos ) &
!!$ + tmpj / ( lambda( ij, 1, k ) * tmpcos + 1.0d0 ) &
!!$ * ( 1.0d0 &
!!$ - exp( -dtau( ij, 1, k ) &
!!$ * ( lambda( ij, 1, k ) + 1.0d0 / tmpcos ) ) ) &
!!$ + tmpk / ( lambda( ij, 1, k ) * tmpcos - 1.0d0 ) &
!!$ * ( exp( -dtau( ij, 1, k ) / tmpcos ) &
!!$ -exp( -dtau( ij, 1, k ) * lambda( ij, 1, k ) ) ) &
!!$ + sig1 * ( 1.0d0 - exp( -dtau( ij, 1, k ) / tmpcos ) ) &
!!$ + sig2 * ( tmpcos * exp( -dtau( ij, 1, k ) / tmpcos ) &
!!$ + dtau( ij, 1, k ) - tmpcos )
!!$ end do
!!$ end do
!!$
!!$ k = km+1
!!$ do ij = ijs, ije
!!$! gemis = 1.0d0
!!$ gemis = emis( ij, 1 )
!!$ inteup( ij, 1, k ) = ( 1.0d0 - gemis ) * intedo( ij, 1, km+1 ) &
!!$ + gemis * pix2 * pfinth( ij, 1, km+1 )
!!$ end do
!!$ do k = km, 1, -1
!!$ do ij = ijs, ije
!!$ tmpg = ( ea( (ij-ijs+1), k+k-1 ) + ea( (ij-ijs+1), k+k ) ) &
!!$ * ( 2.0d0 - lambda( ij, 1, k ) )
!!$ tmph = ( ea( (ij-ijs+1), k+k-1 ) - ea( (ij-ijs+1), k+k ) ) * lsigma( ij, 1, k ) &
!!$ * ( lambda( ij, 1, k ) + 2.0d0 )
!!$ alp1 = pix2 * ( b0( ij, 1, k ) &
!!$ + b1( ij, 1, k ) &
!!$ * ( 1.0d0 / ( gam1( ij, 1, k ) + gam2( ij, 1, k ) ) - 0.5d0 ) )
!!$ alp2 = pix2 * b1( ij, 1, k )
!!$ inteup( ij, 1, k ) = inteup( ij, 1, k+1 ) &
!!$ * exp( -dtau( ij, 1, k ) / tmpcos ) &
!!$ + tmpg / ( lambda( ij, 1, k ) * tmpcos - 1.0d0 ) &
!!$ * ( exp( -dtau( ij, 1, k ) / tmpcos ) &
!!$ - exp( -dtau( ij, 1, k ) * lambda( ij, 1, k ) ) ) &
!!$ + tmph / ( lambda( ij, 1, k ) * tmpcos + 1.0d0 ) &
!!$ * ( 1.0d0 &
!!$ -exp( -dtau( ij, 1, k ) &
!!$ * ( lambda( ij, 1, k ) + 1.0d0 / tmpcos ) ) ) &
!!$ + alp1 * ( 1.0d0 - exp( -dtau( ij, 1, k ) / tmpcos ) ) &
!!$ + alp2 * ( tmpcos &
!!$ - ( dtau( ij, 1, k ) + tmpcos ) &
!!$ * exp( -dtau( ij, 1, k ) / tmpcos ) )
!!$ end do
!!$ end do
!!$
!!$ do k = 1, km+1
!!$ do ij = ijs, ije
!!$ upfl( ij, 1, k ) = upfl( ij, 1, k ) &
!!$ + inteup( ij, 1, k ) * qucos( l ) * qudcos( l )
!!$ dofl( ij, 1, k ) = dofl( ij, 1, k ) &
!!$ + intedo( ij, 1, k ) * qucos( l ) * qudcos( l )
!!$ end do
!!$ end do
!!$ end do
!!$
else
stop 'Unexpected sw number in twostreamapp.f90'
end if
!!$ do ij = ijs, ije
!!$ gdf( ij, 1 ) = dofl( ij, 1, km+1 )
!!$ end do
!!$ if( sw == 1 ) then
!!$ ! visible
!!$ do ij = ijs, ije
!!$ gdf( ij, 1 ) = upfl( ij, 1, km+1 ) - dofl( ij, 1, km+1 )
!!$ end do
!!$ else
!!$ ! ir
!!$ do ij = ijs, ije
!!$ gdf( ij, 1 ) = dofl( ij, 1, km+1 )
!!$ end do
!!$ end if
!!$ do ij = ijs, ije
!!$ gdf( ij, 1 ) = upfl( ij, 1, km+1 ) - dofl( ij, 1, km+1 )
!!$ end do
!!$ do k = 1, km
!!$ do ij = ijs, ije
!!$ q( ij, 1, k ) &
!!$ = ( ( upfl( ij, 1, k+1 ) - dofl( ij, 1, k+1 ) ) &
!!$ - ( upfl( ij, 1, k ) - dofl( ij, 1, k ) ) ) &
!!$ / ( gph ( ij, 1, k+1 ) - gph ( ij, 1, k ) ) &
!!$ * grav / cp
!!$ end do
!!$ end do
!!$ if( sw == 1 ) then
!!$ write( 6, * ) 'vis flux=', &
!!$! -gdf((ijs+ije)/2,1), &
!!$! -gdf((ijs+ije)/2,1) * ( 1.0d0 - albedo((ijs+ije)/2,1) ), &
!!$ -gdf((ijs+ije)/2,1) * albedo((ijs+ije)/2,1), &
!!$! upfl((ijs+ije)/2,1,km+1)-dofl((ijs+ije)/2,1,km+1),
!!$ upfl((ijs+ije)/2,1,km+1), &
!!$ upfl((ijs+ije)/2,1,km+1) - gdf((ijs+ije)/2,1) * albedo((ijs+ije)/2,1)
!!$ else
!!$ write( 6, * ) 'ir flux=', &
!!$ -gdf((ijs+ije)/2,1), &
!!$ upfl((ijs+ije)/2,1,km+1)-dofl((ijs+ije)/2,1,km+1), &
!!$ ' sig * Ts^4 = ', sboltz * gts((ijs+ije)/2,1)**4
!!$ end if
do k = 0, kmax
do j = js, je
xyr_RadFlux(:,j,k) = xyr_UwFlux(:,j,k) - xyr_DwFlux(:,j,k)
end do
end do
if( IDScheme .eq. IDSchemeShortWave ) then
do k = 0, kmax
do j = js, je
do i = 0, imax-1
if( xy_cosSZA(i,j) <= 0.0d0 ) then
xyr_RadFlux(i,j,k) = 0.0d0
end if
end do
end do
end do
end if
!!$ !
!!$ ! output variables
!!$ !
!!$ do ij = ijs, ije
!!$ goru( ij, 1 ) = upfl( ij, 1, 1 )
!!$ gord( ij, 1 ) = dofl( ij, 1, 1 )
!!$ gsru( ij, 1 ) = upfl( ij, 1, km+1 )
!!$ gsrd( ij, 1 ) = dofl( ij, 1, km+1 )
!!$ end do
!!$ if( sw .eq. 1 ) then
!!$ do ij = ijs, ije
!!$ if( cosz( ij, 1 ) .le. 0.0d0 ) then
!!$ goru( ij, 1 ) = 0.0d0
!!$ gord( ij, 1 ) = 0.0d0
!!$ gsru( ij, 1 ) = 0.0d0
!!$ gsrd( ij, 1 ) = 0.0d0
!!$ end if
!!$ end do
!!$ end if
!!$ do ij = ijs, ije
!!$ gor ( ij, 1 ) = goru( ij, 1 ) - gord( ij, 1 )
!!$ gsr ( ij, 1 ) = gsru( ij, 1 ) - gsrd( ij, 1 )
!!$ end do
end subroutine RadiationTwoStreamAppCore