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 )
!
! 時間変化率の計算を行います.
!
! Calculate tendencies.
!
! モジュール引用 ; USE statements
!
! 物理定数設定
! Physical constants settings
!
use constants, only: Grav, CpDry, LatentHeat, GasRDry
! $ R $ [J kg-1 K-1].
! 乾燥大気の気体定数.
! Gas constant of air
! 時刻管理
! Time control
!
use timeset, only: DelTime, TimeN, TimesetClockStart, TimesetClockStop
! 陰解法による時間積分のためのルーチン
! Routines for time integration with implicit scheme
!
use phy_implicit_utils, only : PhyImplLUDecomp3, PhyImplLUSolve3
! 宣言文 ; Declaration statements
!
implicit none
real(DP), intent(in):: xyr_MomFluxX (0:imax-1, 1:jmax, 0:kmax)
! 東西方向運動量フラックス.
! Eastward momentum flux
real(DP), intent(in):: xyr_MomFluxY (0:imax-1, 1:jmax, 0:kmax)
! 南北方向運動量フラックス.
! Northward momentum flux
real(DP), intent(in):: xyr_HeatFlux (0:imax-1, 1:jmax, 0:kmax)
! 熱フラックス.
! Heat flux
real(DP), intent(in):: xyrf_QMixFlux(0:imax-1, 1:jmax, 0:kmax, 1:ncmax)
! 比湿フラックス.
! Specific humidity flux
real(DP), intent(in):: xyr_Press (0:imax-1, 1:jmax, 0:kmax)
! $ \hat{p} $ . 気圧 (半整数レベル).
! Air pressure (half level)
real(DP), intent(in):: xyz_Exner (0:imax-1, 1:jmax, 1:kmax)
! Exner 関数 (整数レベル).
! Exner function (full level)
real(DP), intent(in):: xyr_Exner (0:imax-1, 1:jmax, 0:kmax)
! Exner 関数 (半整数レベル).
! Exner function (half level)
real(DP), intent(in):: xyr_VirTemp (0:imax-1, 1:jmax, 0:kmax)
! $ \hat{T}_v $ . 仮温度 (半整数レベル).
! Virtual temperature (half level)
real(DP), intent(in):: xyz_Height (0:imax-1, 1:jmax, 1:kmax)
! 高度 (整数レベル).
! Height (full level)
real(DP), intent(in):: xyr_VelDiffCoef (0:imax-1, 1:jmax, 0:kmax)
! 拡散係数：運動量.
! Diffusion coefficient: velocity
real(DP), intent(in):: xyr_TempDiffCoef (0:imax-1, 1:jmax, 0:kmax)
! 拡散係数：温度.
! Transfer coefficient: temperature
real(DP), intent(in):: xyr_QMixDiffCoef (0:imax-1, 1:jmax, 0:kmax)
! 拡散係数：比湿.
! Diffusion coefficient: specific humidity
real(DP), intent(in):: xy_SurfVelTransCoef (0:imax-1, 1:jmax)
! 輸送係数：運動量.
! Diffusion coefficient: velocity
real(DP), intent(in):: xy_SurfTempTransCoef (0:imax-1, 1:jmax)
! 輸送係数：温度.
! Transfer coefficient: temperature
real(DP), intent(in):: xy_SurfQVapTransCoef (0:imax-1, 1:jmax)
! 輸送係数：比湿.
! Transfer coefficient: specific humidity
real(DP), intent(out):: xyz_DUDt (0:imax-1, 1:jmax, 1:kmax)
! $ \DP{u}{t} $ . 東西風速変化.
! Eastward wind tendency
real(DP), intent(out):: xyz_DVDt (0:imax-1, 1:jmax, 1:kmax)
! $ \DP{v}{t} $ . 南北風速変化.
! Northward wind tendency
real(DP), intent(out):: xyz_DTempDt (0:imax-1, 1:jmax, 1:kmax)
! $ \DP{T}{t} $ . 温度変化.
! Temperature tendency
real(DP), intent(out):: xyzf_DQMixDt(0:imax-1, 1:jmax, 1:kmax, 1:ncmax)
! $ \DP{q}{t} $ . 質量混合比変化.
! Mass mixing ratio tendency
! 作業変数
! Work variables
!
real(DP) :: xyr_VelTransCoef (0:imax-1, 1:jmax, 0:kmax)
! 輸送係数：運動量.
! Transfer coefficient: velocity
real(DP) :: xyr_TempTransCoef (0:imax-1, 1:jmax, 0:kmax)
! 輸送係数：温度.
! Transfer coefficient: temperature
real(DP) :: xyr_QMixTransCoef(0:imax-1, 1:jmax, 0:kmax)
! 輸送係数：質量.
! Transfer coefficient: mass of constituents
real(DP):: xyza_UVMtx (0:imax-1, 1:jmax, 1:kmax, -1:1)
! 速度陰解行列.
! Implicit matrix about velocity
real(DP):: xyra_TempMtx(0:imax-1, 1:jmax, 1:kmax, -1:1)
! 温度陰解行列.
! Implicit matrix about temperature
real(DP):: xyza_QMixMtx(0:imax-1, 1:jmax, 1:kmax, -1:1)
! 質量混合比陰解行列.
! Implicit matrix about mass mixing ratio
real(DP):: xyza_UVLUMtx (0:imax-1, 1:jmax, 1:kmax,-1:1)
! LU 行列.
! LU matrix
real(DP):: xyza_QMixLUMtx (0:imax-1, 1:jmax, 1:kmax, -1:1)
! LU 行列.
! LU matrix
real(DP):: xyz_DelQMixLUVec(0:imax-1, 1:jmax, 1:kmax)
! $ q $ の時間変化.
! Tendency of $ q $
real(DP):: xyaa_TempLUMtx (0:imax-1, 1:jmax, 1:kmax, -1:1)
! LU 行列.
! LU matrix
real(DP):: xya_DelTempLUVec(0:imax-1, 1:jmax, 1:kmax)
! $ T, Tg $ の時間変化.
! Tendency of $ T $ and $ Tg |
!!$ integer:: i ! 経度方向に回る DO ループ用作業変数
!!$ ! Work variables for DO loop in longitude
!!$ integer:: j ! 緯度方向に回る DO ループ用作業変数
!!$ ! Work variables for DO loop in latitude
integer:: k ! 鉛直方向に回る DO ループ用作業変数
! Work variables for DO loop in vertical direction
!!$ integer:: l ! 行列用 DO ループ用作業変数
!!$ ! Work variables for DO loop of matrices
integer:: n ! 組成方向に回る DO ループ用作業変数
! Work variables for DO loop in dimension of constituents
! 実行文 ; Executable statement
!
! 初期化確認
! Initialization check
!
if ( .not. phy_implicit_atmonly_inited ) then
call MessageNotify( 'E', module_name, 'This module has not been initialized.' )
end if
! 計算時間計測開始
! Start measurement of computation time
!
call TimesetClockStart( module_name )
! 輸送係数の計算
! 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
! 陰解法のための行列作成
! Create matrices for implicit scheme
!
! 鉛直拡散スキームの輸送係数から陰解行列の計算 (速度)
! 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
! 鉛直拡散スキームの輸送係数から陰解行列の計算 (温度)
! 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
! 鉛直拡散スキームの輸送係数から陰解行列の計算 (比湿)
! 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
! 東西風速, 南北風速の計算
! 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
! 温度の計算
! 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 )
! 比湿の計算
! 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
! 計算時間計測一時停止
! Pause measurement of computation time
!
call TimesetClockStop( module_name )
end subroutine PhyImplAtmOnlyTendency