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subroutine da_check_vvtovp_adjoint(grid, ne, xb, be, vv, vp) 2,4
!---------------------------------------------------------------------------
! Purpose: Test Vv to Vp routine and adjoint for compatibility.
!
! Method: Standard adjoint test: < Vp, Vp > = < Vv_adj, Vv >.
!---------------------------------------------------------------------------
implicit none
type (domain), intent(in) :: grid
integer, intent(in) :: ne ! Ensemble size.
type (xb_type), intent(in) :: xb ! first guess (local).
type (be_type), intent(in) :: be ! background error structure.
type (vp_type), intent(inout) :: vv ! CV(i,j,m).
type (vp_type), intent(inout) :: vp ! CV(i,j,k)
real :: adj_par_lhs ! < x, x >
real :: adj_par_rhs ! < v_adj, v >
real :: adj_sum_lhs ! < x, x >
real :: adj_sum_rhs ! < v_adj, v >
real :: vv2_v1(ims:ime,jms:jme,kms:kme)
real :: vv2_v2(ims:ime,jms:jme,kms:kme)
real :: vv2_v3(ims:ime,jms:jme,kms:kme)
real :: vv2_v4(ims:ime,jms:jme,kms:kme)
real :: vv2_v5(ims:ime,jms:jme,kms:kme)
! real :: vv2_alpha(ims:ime,jms:jme,kts:kte,1:ne)
real :: vv2_alpha(ims_int:ime_int,jms_int:jme_int,kts_int:kte_int,1:ne)
if (trace_use) call da_trace_entry
("da_check_vvtovp_adjoint")
if (cv_options == 3 ) then
write(unit=stdout, fmt='(/a,i2,a/)') 'cv_options =',cv_options, &
' no da_check_vvtovp_adjoint check...'
goto 1235
end if
!----------------------------------------------------------------------
! [1.0] Initialise:
!----------------------------------------------------------------------
write(unit=stdout, fmt='(/a/)') 'da_check_vvtovp_adjoint: Test Results:'
!----------------------------------------------------------------------
! [2.0] Perform Vp = U_v Vv transform:
!----------------------------------------------------------------------
call da_vertical_transform(grid, 'u', be, &
xb % vertical_inner_product, &
vv, vp)
!----------------------------------------------------------------------
! [3.0] Calculate LHS of adjoint test equation:
!----------------------------------------------------------------------
adj_par_lhs = sum(vp % v1(its:ite,jts:jte,kts:kte)**2) * inv_typ_vp1_sumsq &
+ sum(vp % v2(its:ite,jts:jte,kts:kte)**2) * inv_typ_vp2_sumsq &
+ sum(vp % v3(its:ite,jts:jte,kts:kte)**2) * inv_typ_vp3_sumsq &
+ sum(vp % v4(its:ite,jts:jte,kts:kte)**2) * inv_typ_vp4_sumsq &
+ sum(vp % v5(its:ite,jts:jte,kts:kte)**2) * inv_typ_vp5_sumsq
if (be % ne > 0) then
adj_par_lhs = adj_par_lhs + &
! sum(vp % alpha(its:ite,jts:jte,kts:kte,1:be%ne)**2) * inv_typ_vpalpha_sumsq
sum(vp % alpha(its_int:ite_int,jts_int:jte_int,kts_int:kte_int,1:be%ne)**2) * inv_typ_vpalpha_sumsq
end if
!----------------------------------------------------------------------
! [4.0] Rescale input to adjoint routine:
!----------------------------------------------------------------------
vp % v1(its:ite,jts:jte,kts:kte) = vp % v1(its:ite,jts:jte,kts:kte) * &
inv_typ_vp1_sumsq
vp % v2(its:ite,jts:jte,kts:kte) = vp % v2(its:ite,jts:jte,kts:kte) * &
inv_typ_vp2_sumsq
vp % v3(its:ite,jts:jte,kts:kte) = vp % v3(its:ite,jts:jte,kts:kte) * &
inv_typ_vp3_sumsq
vp % v4(its:ite,jts:jte,kts:kte) = vp % v4(its:ite,jts:jte,kts:kte) * &
inv_typ_vp4_sumsq
vp % v5(its:ite,jts:jte,kts:kte) = vp % v5(its:ite,jts:jte,kts:kte) * &
inv_typ_vp5_sumsq
if (be % ne > 0) then
! vp % alpha(its:ite,jts:jte,kts:kte,1:be%ne) = &
! vp % alpha(its:ite,jts:jte,kts:kte,1:be%ne) * inv_typ_vpalpha_sumsq
vp % alpha(its_int:ite_int,jts_int:jte_int,kts_int:kte_int,1:be%ne) = &
vp % alpha(its_int:ite_int,jts_int:jte_int,kts_int:kte_int,1:be%ne) * inv_typ_vpalpha_sumsq
end if
!----------------------------------------------------------------------
! [5.0] Perform adjoint operation:
!----------------------------------------------------------------------
vv2_v1(its:ite,jts:jte,1:be%v1%mz) = vv % v1(its:ite,jts:jte,1:be%v1%mz)
vv2_v2(its:ite,jts:jte,1:be%v2%mz) = vv % v2(its:ite,jts:jte,1:be%v2%mz)
vv2_v3(its:ite,jts:jte,1:be%v3%mz) = vv % v3(its:ite,jts:jte,1:be%v3%mz)
vv2_v4(its:ite,jts:jte,1:be%v4%mz) = vv % v4(its:ite,jts:jte,1:be%v4%mz)
vv2_v5(its:ite,jts:jte,1:be%v5%mz) = vv % v5(its:ite,jts:jte,1:be%v5%mz)
if (be % ne > 0) then
! vv2_alpha(its:ite,jts:jte,kts:kte,1:be%ne) = vv % alpha(its:ite,jts:jte,kts:kte,1:be%ne)
vv2_alpha(its_int:ite_int,jts_int:jte_int,kts_int:kte_int,1:be%ne) = &
vv % alpha(its_int:ite_int,jts_int:jte_int,kts_int:kte_int,1:be%ne)
end if
call da_vertical_transform(grid, 'u_adj', be, &
xb % vertical_inner_product, &
vv, vp)
!----------------------------------------------------------------------
! [6.0] Calculate RHS of adjoint test equation:
!----------------------------------------------------------------------
adj_par_rhs = 0.0
if (be % v1 % mz > 0) &
adj_par_rhs = sum(vv % v1(its:ite,jts:jte,1:be%v1%mz) * &
vv2_v1(its:ite,jts:jte,1:be%v1%mz)) + adj_par_rhs
if (be % v2 % mz > 0) &
adj_par_rhs = sum(vv % v2(its:ite,jts:jte,1:be%v2%mz) * &
vv2_v2(its:ite,jts:jte,1:be%v2%mz)) + adj_par_rhs
if (be % v3 % mz > 0) &
adj_par_rhs = sum(vv % v3(its:ite,jts:jte,1:be%v3%mz) * &
vv2_v3(its:ite,jts:jte,1:be%v3%mz)) + adj_par_rhs
if (be % v4 % mz > 0) &
adj_par_rhs = sum(vv % v4(its:ite,jts:jte,1:be%v4%mz) * &
vv2_v4(its:ite,jts:jte,1:be%v4%mz)) + adj_par_rhs
if (be % v5 % mz == 1) &
adj_par_rhs = sum(vv % v5(its:ite,jts:jte,1:be%v5%mz) * &
vv2_v5(its:ite,jts:jte,1:be%v5%mz)) + adj_par_rhs
! if (be % ne > 0) &
! adj_par_rhs = sum(vv % alpha(its:ite,jts:jte,kts:kte,1:be%ne) * &
! vv2_alpha(its:ite,jts:jte,kts:kte,1:be%ne)) + adj_par_rhs
if (be % ne > 0) &
adj_par_rhs = sum(vv % alpha(its_int:ite_int,jts_int:jte_int,kts_int:kte_int,1:be%ne) * &
vv2_alpha(its_int:ite_int,jts_int:jte_int,kts_int:kte_int,1:be%ne)) + adj_par_rhs
!----------------------------------------------------------------------
! [7.0] Print output:
!----------------------------------------------------------------------
write(unit=stdout, fmt='(a,1pe22.14)') &
'Single domain < vp, vp > = ', adj_par_lhs, &
'Single domain < Vv_adj, Vv > = ', adj_par_rhs
adj_sum_lhs = wrf_dm_sum_real(adj_par_lhs)
adj_sum_rhs = wrf_dm_sum_real(adj_par_rhs)
if (rootproc) then
write(unit=stdout, fmt='(/)')
write(unit=stdout, fmt='(a,1pe22.14)') &
'Whole Domain: < Vp, Vp > = ', adj_sum_lhs, &
'Whole Domain: < Vv_adj, Vv > = ', adj_sum_rhs
end if
vv % v1(its:ite,jts:jte,1:be%v1%mz) = vv2_v1(its:ite,jts:jte,1:be%v1%mz)
vv % v2(its:ite,jts:jte,1:be%v2%mz) = vv2_v2(its:ite,jts:jte,1:be%v2%mz)
vv % v3(its:ite,jts:jte,1:be%v3%mz) = vv2_v3(its:ite,jts:jte,1:be%v3%mz)
vv % v4(its:ite,jts:jte,1:be%v4%mz) = vv2_v4(its:ite,jts:jte,1:be%v4%mz)
vv % v5(its:ite,jts:jte,1:be%v5%mz) = vv2_v5(its:ite,jts:jte,1:be%v5%mz)
if (be % ne > 0) then
! vv % alpha(its:ite,jts:jte,kts:kte,1:be%ne) = vv2_alpha(its:ite,jts:jte,kts:kte,1:be%ne)
vv % alpha(its_int:ite_int,jts_int:jte_int,kts_int:kte_int,1:be%ne) = &
vv2_alpha(its_int:ite_int,jts_int:jte_int,kts_int:kte_int,1:be%ne)
end if
write(unit=stdout, fmt='(/a/)') 'da_check_vvtovp_adjoint: Test Finished.'
1235 continue
if (trace_use) call da_trace_exit("da_check_vvtovp_adjoint")
end subroutine da_check_vvtovp_adjoint