subroutine PhyImplAtmOnlyTendency( xyr_MomFluxX, xyr_MomFluxY, xyr_HeatFlux, xyrf_QMixFlux, xyr_Press, xyz_Exner, xyr_Exner, xyr_VirTemp, xyz_Height, xyr_VelDiffCoef, xyr_TempDiffCoef, xyr_QMixDiffCoef, xy_SurfVelTransCoef, xy_SurfTempTransCoef, xy_SurfQVapTransCoef, xyz_DUDt, xyz_DVDt, xyz_DTempDt, xyzf_DQMixDt )
!
! ����å¤��������ç®���è¡����¾ã��.
!
! Calculate tendencies.
!
! �¢ã�¸ã�¥ã�¼ã����� ; USE statements
!
! ����å®��°è¨å®�
! Physical constants settings
!
use constants, only: Grav, CpDry, LatentHeat, GasRDry
! $ R $ [J kg-1 K-1].
! 乾�大��������.
! Gas constant of air
! ���»ç���
! Time control
!
use timeset, only: DelTime, TimeN, TimesetClockStart, TimesetClockStop
! �°è§£æ³�����������ç©��������������¼ã����
! Routines for time integration with implicit scheme
!
use phy_implicit_utils, only : PhyImplLUDecomp3, PhyImplLUSolve3
! 宣�� ; Declaration statements
!
implicit none
real(DP), intent(in):: xyr_MomFluxX (0:imax-1, 1:jmax, 0:kmax)
! �±è¥¿�¹å�����������������.
! Eastward momentum flux
real(DP), intent(in):: xyr_MomFluxY (0:imax-1, 1:jmax, 0:kmax)
! �����¹å�����������������.
! Northward momentum flux
real(DP), intent(in):: xyr_HeatFlux (0:imax-1, 1:jmax, 0:kmax)
! �±ã����������.
! Heat flux
real(DP), intent(in):: xyrf_QMixFlux(0:imax-1, 1:jmax, 0:kmax, 1:ncmax)
! �湿���������.
! Specific humidity flux
real(DP), intent(in):: xyr_Press (0:imax-1, 1:jmax, 0:kmax)
! $ \hat{p} $ . æ°��� (���´æ�°ã������).
! Air pressure (half level)
real(DP), intent(in):: xyz_Exner (0:imax-1, 1:jmax, 1:kmax)
! Exner �¢æ�� (�´æ�°ã������).
! Exner function (full level)
real(DP), intent(in):: xyr_Exner (0:imax-1, 1:jmax, 0:kmax)
! Exner �¢æ�� (���´æ�°ã������).
! Exner function (half level)
real(DP), intent(in):: xyr_VirTemp (0:imax-1, 1:jmax, 0:kmax)
! $ \hat{T}_v $ . ä»�¸©åº� (���´æ�°ã������).
! Virtual temperature (half level)
real(DP), intent(in):: xyz_Height (0:imax-1, 1:jmax, 1:kmax)
! é«�åº� (�´æ�°ã������).
! Height (full level)
real(DP), intent(in):: xyr_VelDiffCoef (0:imax-1, 1:jmax, 0:kmax)
! �¡æ�£ä��°ï�������.
! Diffusion coefficient: velocity
real(DP), intent(in):: xyr_TempDiffCoef (0:imax-1, 1:jmax, 0:kmax)
! �¡æ�£ä��°ï�æ¸�º¦.
! Transfer coefficient: temperature
real(DP), intent(in):: xyr_QMixDiffCoef (0:imax-1, 1:jmax, 0:kmax)
! �¡æ�£ä��°ï�æ¯�æ¹�.
! Diffusion coefficient: specific humidity
real(DP), intent(in):: xy_SurfVelTransCoef (0:imax-1, 1:jmax)
! 輸é��ä¿��°ï�������.
! Diffusion coefficient: velocity
real(DP), intent(in):: xy_SurfTempTransCoef (0:imax-1, 1:jmax)
! 輸é��ä¿��°ï�æ¸�º¦.
! Transfer coefficient: temperature
real(DP), intent(in):: xy_SurfQVapTransCoef (0:imax-1, 1:jmax)
! 輸é��ä¿��°ï�æ¯�æ¹�.
! Transfer coefficient: specific humidity
real(DP), intent(out):: xyz_DUDt (0:imax-1, 1:jmax, 1:kmax)
! $ \DP{u}{t} $ . �±è¥¿é¢���å¤���.
! Eastward wind tendency
real(DP), intent(out):: xyz_DVDt (0:imax-1, 1:jmax, 1:kmax)
! $ \DP{v}{t} $ . ����������.
! Northward wind tendency
real(DP), intent(out):: xyz_DTempDt (0:imax-1, 1:jmax, 1:kmax)
! $ \DP{T}{t} $ . æ¸�º¦å¤���.
! Temperature tendency
real(DP), intent(out):: xyzf_DQMixDt(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
! $ \DP{q}{t} $ . è³��闋·å��æ¯�å¤���.
! Mass mixing ratio tendency
! ä½�æ¥å���
! Work variables
!
real(DP) :: xyr_VelTransCoef (0:imax-1, 1:jmax, 0:kmax)
! 輸é��ä¿��°ï�������.
! Transfer coefficient: velocity
real(DP) :: xyr_TempTransCoef (0:imax-1, 1:jmax, 0:kmax)
! 輸é��ä¿��°ï�æ¸�º¦.
! Transfer coefficient: temperature
real(DP) :: xyr_QMixTransCoef(0:imax-1, 1:jmax, 0:kmax)
! 輸é��ä¿��°ï�è³���.
! Transfer coefficient: mass of constituents
real(DP):: xyza_UVMtx (0:imax-1, 1:jmax, 1:kmax, -1:1)
! ��åº��°è§£è¡���.
! Implicit matrix about velocity
real(DP):: xyra_TempMtx(0:imax-1, 1:jmax, 1:kmax, -1:1)
! æ¸�º¦�°è§£è¡���.
! Implicit matrix about temperature
real(DP):: xyza_QMixMtx(0:imax-1, 1:jmax, 1:kmax, -1:1)
! è³��闋·å��æ¯��°è§£è¡���.
! Implicit matrix about mass mixing ratio
real(DP):: xyza_UVLUMtx (0:imax-1, 1:jmax, 1:kmax,-1:1)
! LU ���.
! LU matrix
real(DP):: xyza_QMixLUMtx (0:imax-1, 1:jmax, 1:kmax, -1:1)
! LU ���.
! LU matrix
real(DP):: xyz_DelQMixLUVec(0:imax-1, 1:jmax, 1:kmax)
! $ q $ ���������.
! Tendency of $ q $
real(DP):: xyaa_TempLUMtx (0:imax-1, 1:jmax, 1:kmax, -1:1)
! LU ���.
! LU matrix
real(DP):: xya_DelTempLUVec(0:imax-1, 1:jmax, 1:kmax)
! $ T, Tg $ ���������.
! Tendency of $ T $ and $ Tg |
!!$ integer:: i ! çµ�åº��¹å�������� DO ���¼ã�����æ¥å���
!!$ ! Work variables for DO loop in longitude
!!$ integer:: j ! ç·�º¦�¹å�������� DO ���¼ã�����æ¥å���
!!$ ! Work variables for DO loop in latitude
integer:: k ! ���´æ�¹å�������� DO ���¼ã�����æ¥å���
! Work variables for DO loop in vertical direction
!!$ integer:: l ! è¡����� DO ���¼ã�����æ¥å���
!!$ ! Work variables for DO loop of matrices
integer:: n ! çµ����¹å�������� DO ���¼ã�����æ¥å���
! Work variables for DO loop in dimension of constituents
! ���� ; Executable statement
!
! ������確è�
! Initialization check
!
if ( .not. phy_implicit_atmonly_inited ) then
call MessageNotify( 'E', module_name, 'This module has not been initialized.' )
end if
! �����������
! Start measurement of computation time
!
call TimesetClockStart( module_name )
! 輸é��ä¿��°ã���ç®�
! Calculate transfer coefficient
!
xyr_VelTransCoef (:,:,0) = 0.0_DP
xyr_VelTransCoef (:,:,kmax) = 0.0_DP
xyr_TempTransCoef(:,:,0) = 0.0_DP
xyr_TempTransCoef(:,:,kmax) = 0.0_DP
xyr_QMixTransCoef(:,:,0) = 0.0_DP
xyr_QMixTransCoef(:,:,kmax) = 0.0_DP
do k = 1, kmax-1
xyr_VelTransCoef(:,:,k) = xyr_VelDiffCoef(:,:,k) * xyr_Press(:,:,k) / ( GasRDry * xyr_VirTemp(:,:,k) ) / ( xyz_Height(:,:,k+1) - xyz_Height(:,:,k) )
xyr_TempTransCoef(:,:,k) = xyr_TempDiffCoef(:,:,k) * xyr_Press(:,:,k) / ( GasRDry * xyr_VirTemp(:,:,k) ) / ( xyz_Height(:,:,k+1) - xyz_Height(:,:,k) )
xyr_QMixTransCoef(:,:,k) = xyr_QMixDiffCoef(:,:,k) * xyr_Press(:,:,k) / ( GasRDry * xyr_VirTemp(:,:,k) ) / ( xyz_Height(:,:,k+1) - xyz_Height(:,:,k) )
end do
! �°è§£æ³������������ä½���
! Create matrices for implicit scheme
!
! ���´æ�¡æ�£ã�¹ã�ã�¼ã����¼¸��ä¿��°ã�����°è§£è¡������ç®� (��åº�)
! Calculate implicit matrices from transfer coefficient of vertical diffusion scheme (velocity)
!
k = 1
xyza_UVMtx (:,:,k,-1) = 0.0_DP
xyza_UVMtx (:,:,k, 0) = - ( xyr_Press(:,:,k) - xyr_Press(:,:,k-1) ) / Grav / ( 2.0_DP * DelTime ) + xy_SurfVelTransCoef(:,:) + xyr_VelTransCoef(:,:,k )
xyza_UVMtx (:,:,k, 1) = - xyr_VelTransCoef(:,:,k)
do k = 2, kmax-1
xyza_UVMtx (:,:,k,-1) = - xyr_VelTransCoef(:,:,k-1)
xyza_UVMtx (:,:,k, 0) = - ( xyr_Press(:,:,k) - xyr_Press(:,:,k-1) ) / Grav / ( 2.0_DP * DelTime ) + xyr_VelTransCoef(:,:,k-1) + xyr_VelTransCoef(:,:,k )
xyza_UVMtx (:,:,k, 1) = - xyr_VelTransCoef(:,:,k)
end do
k = kmax
xyza_UVMtx (:,:,k,-1) = - xyr_VelTransCoef(:,:,k-1)
xyza_UVMtx (:,:,k, 0) = - ( xyr_Press(:,:,k) - xyr_Press(:,:,k-1) ) / Grav / ( 2.0_DP * DelTime ) + xyr_VelTransCoef(:,:,k-1)
xyza_UVMtx (:,:,k, 1) = 0.0_DP
! ���´æ�¡æ�£ã�¹ã�ã�¼ã����¼¸��ä¿��°ã�����°è§£è¡������ç®� (æ¸�º¦)
! Calculate implicit matrices from transfer coefficient of vertical diffusion scheme (temperature)
!
k = 1
xyra_TempMtx(:,:,k,-1) = 0.0_DP
if ( FlagPresSurfTemp ) then
! Prescribe surface temperature
xyra_TempMtx(:,:,k, 0) = - CpDry * ( xyr_Press(:,:,k) - xyr_Press(:,:,k-1) ) / Grav / ( 2.0_DP * DelTime ) + CpDry * xyr_Exner(:,:,k-1) / xyz_Exner(:,:,k ) * xy_SurfTempTransCoef(:,:) + CpDry * xyr_Exner(:,:,k ) / xyz_Exner(:,:,k ) * xyr_TempTransCoef(:,:,k )
else
! Prescribe surface flux
xyra_TempMtx(:,:,k, 0) = - CpDry * ( xyr_Press(:,:,k) - xyr_Press(:,:,k-1) ) / Grav / ( 2.0_DP * DelTime ) + CpDry * xyr_Exner(:,:,k ) / xyz_Exner(:,:,k ) * xyr_TempTransCoef(:,:,k )
end if
xyra_TempMtx(:,:,k, 1) = - CpDry * xyr_Exner(:,:,k ) / xyz_Exner(:,:,k+1) * xyr_TempTransCoef(:,:,k )
do k = 2, kmax-1
xyra_TempMtx(:,:,k,-1) = - CpDry * xyr_Exner(:,:,k-1) / xyz_Exner(:,:,k-1) * xyr_TempTransCoef(:,:,k-1)
xyra_TempMtx(:,:,k, 0) = - CpDry * ( xyr_Press(:,:,k) - xyr_Press(:,:,k-1) ) / Grav / ( 2.0_DP * DelTime ) + CpDry * xyr_Exner(:,:,k-1) / xyz_Exner(:,:,k ) * xyr_TempTransCoef(:,:,k-1) + CpDry * xyr_Exner(:,:,k ) / xyz_Exner(:,:,k ) * xyr_TempTransCoef(:,:,k )
xyra_TempMtx(:,:,k, 1) = - CpDry * xyr_Exner(:,:,k ) / xyz_Exner(:,:,k+1) * xyr_TempTransCoef(:,:,k )
end do
k = kmax
xyra_TempMtx(:,:,k,-1) = - CpDry * xyr_Exner(:,:,k-1) / xyz_Exner(:,:,k-1) * xyr_TempTransCoef(:,:,k-1)
xyra_TempMtx(:,:,k, 0) = - CpDry * ( xyr_Press(:,:,k) - xyr_Press(:,:,k-1) ) / Grav / ( 2.0_DP * DelTime ) + CpDry * xyr_Exner(:,:,k-1) / xyz_Exner(:,:,k ) * xyr_TempTransCoef(:,:,k-1)
xyra_TempMtx(:,:,k, 1) = 0.0_DP
! ���´æ�¡æ�£ã�¹ã�ã�¼ã����¼¸��ä¿��°ã�����°è§£è¡������ç®� (æ¯�æ¹�)
! Calculate implicit matrices from transfer coefficient of vertical diffusion scheme (specific humidity)
!
k = 1
xyza_QMixMtx(:,:,k,-1) = 0.0_DP
if ( FlagPresSurfQMix ) then
! Prescribe surface mixing ratio
xyza_QMixMtx(:,:,k, 0) = - ( xyr_Press(:,:,k) - xyr_Press(:,:,k-1) ) / Grav / ( 2.0_DP * DelTime ) + xy_SurfQVapTransCoef(:,:) + xyr_QMixTransCoef(:,:,k )
else
! Prescribe surface flux
xyza_QMixMtx(:,:,k, 0) = - ( xyr_Press(:,:,k) - xyr_Press(:,:,k-1) ) / Grav / ( 2.0_DP * DelTime ) + xyr_QMixTransCoef(:,:,k )
end if
xyza_QMixMtx(:,:,k, 1) = - xyr_QMixTransCoef(:,:,k )
do k = 2, kmax-1
xyza_QMixMtx(:,:,k,-1) = - xyr_QMixTransCoef(:,:,k-1)
xyza_QMixMtx(:,:,k, 0) = - ( xyr_Press(:,:,k) - xyr_Press(:,:,k-1) ) / Grav / ( 2.0_DP * DelTime ) + xyr_QMixTransCoef(:,:,k-1) + xyr_QMixTransCoef(:,:,k )
xyza_QMixMtx(:,:,k, 1) = - xyr_QMixTransCoef(:,:,k )
end do
k = kmax
xyza_QMixMtx(:,:,k,-1) = - xyr_QMixTransCoef(:,:,k-1)
xyza_QMixMtx(:,:,k, 0) = - ( xyr_Press(:,:,k) - xyr_Press(:,:,k-1) ) / Grav / ( 2.0_DP * DelTime ) + xyr_QMixTransCoef(:,:,k-1)
xyza_QMixMtx(:,:,k, 1) = 0.0_DP
! �±è¥¿é¢���, ����é¢������ç®�
! Calculate eastward and northward wind
!
xyza_UVLUMtx = xyza_UVMtx
call PhyImplLUDecomp3( xyza_UVLUMtx, imax * jmax, kmax ) ! (in)
do k = 1, kmax
xyz_DUDt(:,:,k) = - ( xyr_MomFluxX(:,:,k) - xyr_MomFluxX(:,:,k-1) )
xyz_DVDt(:,:,k) = - ( xyr_MomFluxY(:,:,k) - xyr_MomFluxY(:,:,k-1) )
end do
call PhyImplLUSolve3( xyz_DUDt, xyza_UVLUMtx, 1, imax * jmax, kmax ) ! (in)
call PhyImplLUSolve3( xyz_DVDt, xyza_UVLUMtx, 1, imax * jmax, kmax ) ! (in)
do k = 1, kmax
xyz_DUDt(:,:,k) = xyz_DUDt(:,:,k) / ( 2.0_DP * DelTime )
xyz_DVDt(:,:,k) = xyz_DVDt(:,:,k) / ( 2.0_DP * DelTime )
end do
! æ¸�º¦���ç®�
! Calculate temperature
!
xyaa_TempLUMtx = xyra_TempMtx
call PhyImplLUDecomp3( xyaa_TempLUMtx, imax * jmax, kmax )
do k = 1, kmax
xya_DelTempLUVec(:,:,k) = - ( xyr_HeatFlux(:,:,k) - xyr_HeatFlux(:,:,k-1) )
end do
call PhyImplLUSolve3( xya_DelTempLUVec, xyaa_TempLUMtx, 1, imax * jmax , kmax )
xyz_DTempDt = xya_DelTempLUVec / ( 2.0_DP * DelTime )
! �湿���
! Calculate specific humidity
!
xyza_QMixLUMtx = xyza_QMixMtx
call PhyImplLUDecomp3( xyza_QMixLUMtx, imax * jmax, kmax )
do n = 1, ncmax
do k = 1, kmax
xyz_DelQMixLUVec(:,:,k) = - ( xyrf_QMixFlux(:,:,k,n) - xyrf_QMixFlux(:,:,k-1,n) )
end do
call PhyImplLUSolve3( xyz_DelQMixLUVec, xyza_QMixLUMtx, 1, imax * jmax , kmax )
xyzf_DQMixDt(:,:,:,n) = xyz_DelQMixLUVec(:,:,:) / ( 2.0_DP * DelTime )
end do
! è¨�ç®�����è¨�æ¸������æ�
! Pause measurement of computation time
!
call TimesetClockStop( module_name )
end subroutine PhyImplAtmOnlyTendency