!-------------------------------------- LICENCE BEGIN ------------------------------------
!Environment Canada - Atmospheric Science and Technology License/Disclaimer,
! version 3; Last Modified: May 7, 2008.
!This is free but copyrighted software; you can use/redistribute/modify it under the terms
!of the Environment Canada - Atmospheric Science and Technology License/Disclaimer
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***s/r hzd_fact_ad - ADJ of hzd_fact_tl
*
#include "model_macros_f.h"
*
subroutine hzd_fact_ad ( F_u , F_v , F_psd , F_tp , F_ip , 1,19
% F_td , F_t , F_it , F_plt, F_q ,
% F_pip , F_w , F_qp , F_mu , F_mul, F_s,
% F_pipm, F_qpm , DIST_DIM,Nk)
*
implicit none
*
integer DIST_DIM, Nk
real F_u (DIST_SHAPE,Nk), F_v (DIST_SHAPE,Nk),
% F_psd(DIST_SHAPE,Nk), F_tp(DIST_SHAPE,Nk),
% F_ip (DIST_SHAPE,Nk), F_td(DIST_SHAPE,Nk),
% F_t (DIST_SHAPE,Nk), F_it(DIST_SHAPE,Nk),
% F_plt(DIST_SHAPE,Nk), F_q (DIST_SHAPE,Nk),
% F_pip(DIST_SHAPE,Nk), F_w (DIST_SHAPE,Nk),
% F_qp (DIST_SHAPE,Nk), F_mu(DIST_SHAPE,Nk),
% F_mul(DIST_SHAPE,Nk), F_s (DIST_SHAPE)
*
real F_pipm(DIST_SHAPE,Nk), F_qpm(DIST_SHAPE,Nk)
*
*
*author
* M.Tanguay
*
*revision
* v2_10 - Tanguay M. - initial MPI version
* v2_21 - Tanguay M. - remove vertical modulation
* - ADJ of diff. on phi instead of phi' at model lid
* - replace xfis by topo
* v2_31 - Tanguay M. - ADJ of control for diffusion on momentum only
* v3_03 - Tanguay M. - Adjoint NoHyd configuration
* v3_11 - Tanguay M. - AIXport+Opti+OpenMP for TLM-ADJ
* - Remove F_xfis
* v3_20 - Tanguay M. - Adjoint of variable higher order diffusion operator
*
*object
* see id section
*
*arguments
*
*implicits
#include "glb_ld.cdk"
#include "ldnh.cdk"
#include "dcst.cdk"
#include "cstv.cdk"
#include "trp.cdk"
#include "hzd.cdk"
#include "opr.cdk"
#include "schm.cdk"
#include "geomg.cdk"
#include "ptopo.cdk"
#include "lun.cdk"
*
integer i, j, k, dim
real*8 c_8
real work(LDIST_SHAPE,Nk), work_m(LDIST_SHAPE,Nk)
real*8 wk1_8
real*8 g1_8(LYDIST_SIZ*(Trp_12dmax-Trp_12dmin+1)*(G_ni+Ptopo_npex))
real*8 g2_8((Trp_12dmax-Trp_12dmin+1)*(Trp_22max-Trp_22min+1)*(G_nj+Ptopo_npey))
real*8, dimension (Ldnh_maxy*G_ni) :: aix_8,bix_8,cix_8,dix_8
real*8, dimension (Trp_22max *G_nj) :: aiy_8,biy_8,ciy_8
*
real*8 ZERO_8
parameter (ZERO_8=0.0)
* ______________________________________________________
*
if (Lun_debug_L) write(Lun_out,1000)
*
* Zero adjoint variables
* ----------------------
wk1_8 = ZERO_8
*
!$omp parallel
*
dim= LYDIST_SIZ*(Trp_12dmax-Trp_12dmin+1)*(G_ni+Ptopo_npex)
!$omp do
do i = 1,dim
g1_8(i) = ZERO_8
enddo
!$omp enddo
*
dim= (Trp_12dmax-Trp_12dmin+1)*(Trp_22max-Trp_22min+1)
$ *(G_nj+Ptopo_npey)
!$omp do
do i = 1,dim
g2_8(i) = ZERO_8
enddo
!$omp enddo
*
!$omp do
do k=1,Nk
do j=l_miny,l_maxy
do i=l_minx,l_maxx
work(i,j,k) = ZERO_8
enddo
enddo
enddo
!$omp enddo
*
!$omp end parallel
*
* Geopotential & total divergence (Cstv_phidf_8*Cstv_dt_8)
* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
if ( Cstv_phidf_8 .gt. 0.0) then
*
c_8 = Cstv_phidf_8*Cstv_dt_8/(Dcst_rayt_8*Dcst_rayt_8)
if (Hzd_difva_L) then
call hzd_abc (aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,c_8,
$ Geomg_cy2_8,Opr_opsxp0_8,Opr_opsxp2_8,Opr_opsyp0_8,
$ Hzd_yp2su_8,G_ni,G_nj,Ldnh_maxy,l_nj,
$ Trp_22max,Trp_22n,LYDIST_DIM,G_nj,l_nj)
else
call hzd_abc (aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,c_8,
$ Geomg_cy2_8,Opr_opsxp0_8,Opr_opsxp2_8,Opr_opsyp0_8,
$ Opr_opsyp2_8,G_ni,G_nj,Ldnh_maxy,l_nj,
$ Trp_22max,Trp_22n,LYDIST_DIM,G_nj,l_nj)
endif
*
if (Hzd_uvwdt_L) goto 9988
*
* TRAJECTORY
* Save pi' for the diffusion of q'
* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*
if ( (.not.Schm_hydro_L) .and. Schm_difqp_L ) then
*
!$omp parallel
*
!$omp do
do k = 1, Nk
do j = 1,l_nj
do i = 1,l_ni
*
work_m(i,j,k) = F_pipm(i,j,k)
*
end do
end do
end do
!$omp enddo
*
*****************************
* ADJ of *
* 3. Nonyhydrostatic model *
*****************************
*
* ----------------
* START TRAJECTORY
* ----------------
*
* Indirect diffusion of q'
* ~~~~~~~~~~~~~~~~~~~~~~~~
!$omp do
do k=1, Nk !
do j=1,l_nj ! p = (pi)exp(q')
do i=1,l_ni ! ~~~~~~~~~~~~~~~
*
work_m(i,j,k) = ( Geomg_z_8(k) + dble(work_m(i,j,k)) )
% *exp( dble(F_qpm(i,j,k)) )
*
end do
end do
end do
!$omp enddo
*
!$omp end parallel
*
call hzd_del2 (work_m, wk1_8,
$ Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
$ aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
$ LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
$ Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
* --------------
* END TRAJECTORY
* --------------
*
* START ADJOINT CALCULATIONS
* --------------------------
!$omp do
do k=1, Nk !
do j=1,l_nj ! q' = log(p/pi)
do i=1,l_ni ! ~~~~~~~~~~~~~~
*
work (i,j,k) = ( dble(F_qp(i,j,k) )*( Geomg_z_8(k) + dble(F_pipm(i,j,k))) )
% /( dble(work_m(i,j,k))*( Geomg_z_8(k) + dble(F_pipm(i,j,k))) ) + work (i,j,k)
F_pip (i,j,k) = (-dble(work_m(i,j,k))*( dble(F_qp (i,j,k))) )
% /( dble(work_m(i,j,k))*( Geomg_z_8(k) + dble(F_pipm(i,j,k))) ) + F_pip (i,j,k)
F_qp (i,j,k) = ZERO_8
*
end do
end do
end do
!$omp enddo
*
call hzd_del2_ad (work, wk1_8,
$ Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
$ aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
$ LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
$ Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
* Indirect diffusion of q'
* ~~~~~~~~~~~~~~~~~~~~~~~~
!$omp parallel do
do k=1, Nk !
do j=1,l_nj ! p = (pi)exp(q')
do i=1,l_ni ! ~~~~~~~~~~~~~~~
*
F_qp(i,j,k) = ( Geomg_z_8(k) + dble(work_m(i,j,k)) )
% *exp( dble(F_qpm(i,j,k)) ) * dble(work(i,j,k)) + F_qp(i,j,k)
*
work(i,j,k) = ( dble(work (i,j,k)) )
% *exp( dble(F_qpm(i,j,k)) )
*
end do
end do
end do
!$omp end parallel do
*
call hzd_del2_ad (F_mul, wk1_8,
$ Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
$ aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
$ LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
$ Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
call hzd_del2_ad (F_mu, wk1_8,
$ Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
$ aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
$ LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
$ Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
* END ADJOINT CALCULATIONS
* ------------------------
*
endif
*
if ( .not. Schm_hydro_L ) then
*
* ADJ of
* Vertical wind (physical)
* ~~~~~~~~~~~~~~~~~~~~~~~~
call hzd_del2_ad (F_w, wk1_8,
$ Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
$ aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
$ LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
$ Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
endif
*
* ADJ of
* The hydrostatic pressure: pi'
* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*
call hzd_del2_ad(F_pip, wk1_8,
$ Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
$ aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
$ LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
$ Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
!$omp parallel
*
* ADJ of
* Save pi' for the diffusion of q'
* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
if ( (.not.Schm_hydro_L) .and. Schm_difqp_L ) then
!$omp do
do k = 1, Nk
do j = 1,l_nj
do i = 1,l_ni
*
F_pip(i,j,k) = work(i,j,k) + F_pip(i,j,k)
work(i,j,k) = ZERO_8
*
end do
end do
end do
!$omp enddo
endif
*
* ADJ of
* The temperature: T', T'lin & hence T
* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
!$omp do
do k=1, Nk
do j=1,l_nj
do i=1,l_ni
F_tp(i,j,k) = F_t(i,j,k) + F_tp(i,j,k)
F_t(i,j,k) = ZERO_8
end do
end do
end do
!$omp enddo
*
!$omp end parallel
*
call hzd_del2_ad(F_plt, wk1_8,
$ Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
$ aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
$ LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
$ Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
call hzd_del2_ad(F_tp, wk1_8,
$ Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
$ aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
$ LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
$ Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
* ADJ of
* Mass related fields
* ~~~~~~~~~~~~~~~~~~~
*
* ADJ of
* updating phi' at the top
*
!$omp parallel
*
!$omp do
do j = 1,l_nj
do i = 1,l_ni
F_it(i,j,1) = F_ip(i,j,1) + F_it(i,j,1)
F_ip(i,j,1) = ZERO_8
end do
end do
!$omp enddo
*
!$omp do
do k = Nk,2,-1
do j = 1,l_nj
do i = 1,l_ni
F_ip(i,j,k) = F_it(i,j,k) + F_ip(i,j,k)
F_it(i,j,k) = ZERO_8
end do
end do
end do
!$omp enddo
*
!$omp end parallel
*
call hzd_del2_ad(F_it, wk1_8,
$ Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
$ aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
$ LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
$ Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
call hzd_del2_ad(F_ip, wk1_8,
$ Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
$ aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
$ LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
$ Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
9988 continue
*
* ADJ of
* Total divergence
* ~~~~~~~~~~~~~~~~
call hzd_del2_ad(F_td, wk1_8,
$ Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
$ aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
$ LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
$ Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
* ADJ of
* Vertical motion in pressure coord.
* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
call hzd_del2_ad(F_psd, wk1_8,
$ Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
$ aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
$ LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
$ Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
endif
*
* ADJ of
* Momentum
* ~~~~~~~~
if ( Cstv_uvdf_8 .gt. 0.0 ) then
*
c_8 = Cstv_uvdf_8*Cstv_dt_8/(Dcst_rayt_8*Dcst_rayt_8)
call hzd_abc ( aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,c_8,
$ Geomg_cyv2_8,Opr_opsxp0_8,Opr_opsxp2_8,Hzd_yp0_8,Hzd_yp2_8,
$ G_ni,G_nj,Ldnh_maxy,l_nj,
$ Trp_22max,Trp_22n,LYDIST_DIM,G_njv,l_njv)
*
call hzd_del2_ad(F_v, wk1_8, Opr_opsxp0_8(G_ni+1), Hzd_opsyp0_8,
$ aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
$ LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
$ Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_njv)
*
if (Hzd_difva_L) then
call hzd_abc ( aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,c_8,
$ Geomg_cy2_8,Hzd_xp0_8,Hzd_xp2_8,Opr_opsyp0_8,Hzd_yp2su_8,
$ G_ni,G_nj,Ldnh_maxy,l_nj,
$ Trp_22max,Trp_22n,LYDIST_DIM,G_nj,l_nj)
else
call hzd_abc ( aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,c_8,
$ Geomg_cy2_8,Hzd_xp0_8,Hzd_xp2_8,Opr_opsyp0_8,Opr_opsyp2_8,
$ G_ni,G_nj,Ldnh_maxy,l_nj,
$ Trp_22max,Trp_22n,LYDIST_DIM,G_nj,l_nj)
endif
*
call hzd_del2_ad(F_u, wk1_8, Hzd_opsxp0_8, Opr_opsyp0_8(G_nj+1),
$ aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
$ LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
$ Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
endif
*
* __________________________________________________________________
1000 format(/,
+ 3X,'ADJ of PERFORM FACTORIZED HORIZONTAL DIFFUSION: (S/R HZD_FACT_AD)',
+/3X,'=================================================================',/)
*
return
end