da_check_vptox_adjoint.inc

References to this file elsewhere.
1 subroutine da_check_vptox_adjoint(grid,ne, be, ep, vp)
2 
3    !---------------------------------------------------------------------------
4    ! Purpose: Test Vp to X routine and adjoint for compatibility.
5    !
6    ! Method:  Standard adjoint test: < x, x > = < v_adj, v >.
7    !---------------------------------------------------------------------------
8 
9    implicit none
10 
11    type (domain), intent(inout)     :: grid
12 
13    integer, intent(in)              :: ne   ! Ensemble size.
14    type (be_type), intent(in)       :: be   ! background errors.
15    type (ep_type), intent(in)       :: ep   ! Ensemble perturbation type.
16    type (vp_type),intent(inout)     :: vp   ! grdipt/level cv (local).
17 
18    real                             :: adj_par_lhs ! < x, x >
19    real                             :: adj_par_rhs ! < v_adj, v >
20    real                             :: adj_sum_lhs ! < x, x >
21    real                             :: adj_sum_rhs ! < v_adj, v >
22    real                             :: vp2_v1(ims:ime,jms:jme,kms:kme)
23    real                             :: vp2_v2(ims:ime,jms:jme,kms:kme)
24    real                             :: vp2_v3(ims:ime,jms:jme,kms:kme)
25    real                             :: vp2_v4(ims:ime,jms:jme,kms:kme)
26    real                             :: vp2_v5(ims:ime,jms:jme,kms:kme)
27    real                             :: vp2_alpha(ims:ime,jms:jme,1:ne)
28 
29    if (trace_use) call da_trace_entry("da_check_vptox_adjoint")
30 
31    !-------------------------------------------------------------------------
32    ! [1.0] Initialise:
33    !-------------------------------------------------------------------------
34 
35    write(unit=stdout, fmt='(/a/)') 'da_check_vptox_adjoint: Test Results:'
36 
37    call da_zero_x(grid%xa)
38 
39    vp2_v1(:,:,:) = vp % v1(:,:,:)
40    vp2_v2(:,:,:) = vp % v2(:,:,:)
41 
42    call da_psichi_to_uv(vp % v1, vp % v2, grid%xb % coefx, &
43                         grid%xb % coefy , grid%xa % u, grid%xa % v)
44 
45    adj_par_lhs = sum(grid%xa % u(its:ite,jts:jte,:)**2) / typical_u_rms**2
46    adj_par_lhs = sum(grid%xa % v(its:ite,jts:jte,:)**2) / typical_v_rms**2 + &
47       adj_par_lhs
48 
49    grid%xa % u(:,:,:) = grid%xa % u(:,:,:) / typical_u_rms**2
50    grid%xa % v(:,:,:) = grid%xa % v(:,:,:) / typical_v_rms**2
51 
52    vp%v1(:,:,:)=0.0
53    vp%v2(:,:,:)=0.0
54 
55    call da_psichi_to_uv_adj(grid%xa % u, grid%xa % v, grid%xb % coefx,   &
56                              grid%xb % coefy, vp % v1, vp % v2)
57 
58    adj_par_rhs = sum(vp % v1(its:ite,jts:jte,:) * vp2_v1(its:ite,jts:jte,:))
59    adj_par_rhs = sum(vp % v2(its:ite,jts:jte,:) * vp2_v2(its:ite,jts:jte,:)) + &
60       adj_par_rhs
61 
62    adj_sum_lhs = wrf_dm_sum_real(adj_par_lhs)
63    adj_sum_rhs = wrf_dm_sum_real(adj_par_rhs)
64    write(unit=stdout,fmt='(A,2F15.2)') &
65       'TEST_COVERAGE_da_check_vptox_adjoint A:  adj_sum_lhs,adj_sum_rhs = ', &
66       adj_sum_lhs,adj_sum_rhs
67 
68    if (rootproc) then
69       write(unit=stdout, fmt='(/a/)') &
70           ' da_check_da_psichi_to_uv: Adjoint Test Results:'
71 
72       write(unit=stdout, fmt='(/)')
73       write(unit=stdout, fmt='(a,1pe22.14)') &
74           'Whole  Domain: < u_v,     u_v         > = ', adj_sum_lhs, &
75           'Whole  Domain: < psi_chi, psi_chi_adj > = ', adj_sum_rhs
76    end if
77 
78    vp%v1(:,:,:) = vp2_v1(:,:,:)
79    vp%v2(:,:,:) = vp2_v2(:,:,:)
80 
81    call da_zero_x(grid%xa)
82 
83    vp2_v1(:,:,:) = vp % v1(:,:,:)
84    vp2_v2(:,:,:) = vp % v2(:,:,:)
85    vp2_v3(:,:,:) = vp % v3(:,:,:)
86    vp2_v4(:,:,:) = vp % v4(:,:,:)
87    vp2_v5(:,:,:) = vp % v5(:,:,:)
88    if (be % ne > 0) vp2_alpha(:,:,:) = vp % alpha(:,:,:)
89 
90    !-------------------------------------------------------------------------
91    ! [2.0] Perform x = U vp transform:
92    !-------------------------------------------------------------------------
93 
94    call da_transform_vptox(grid, vp, be, ep)
95 
96    !-------------------------------------------------------------------------
97    ! [3.0] Calculate LHS of adjoint test equation:
98    !-------------------------------------------------------------------------
99 
100    !  grid%xa % u(:,:,:) = 0.0
101    !  grid%xa % v(:,:,:) = 0.0
102    !  grid%xa % t(:,:,:) = 0.0
103    !  grid%xa % q(:,:,:) = 0.0
104    !  grid%xa%psfc(:,:) = 0.0
105 
106    !  grid%xa % p(:,:,:) = 0.0
107    !  grid%xa % rho(:,:,:) = 0.0
108    !  grid%xa % w(:,:,:) = 0.0
109    !  grid%xa % wh(:,:,:) = 0.0
110    !  grid%xa % rh(:,:,:) = 0.0
111    !  grid%xa % qt(:,:,:) = 0.0
112    !  grid%xa % qcw(:,:,:) = 0.0
113    !  grid%xa % qrn(:,:,:) = 0.0
114 
115    adj_par_lhs = sum(grid%xa%u(its:ite,jts:jte,:)**2)/typical_u_rms**2
116    adj_par_lhs = sum(grid%xa%v(its:ite,jts:jte,:)**2)/typical_v_rms**2 + adj_par_lhs
117    adj_par_lhs = sum(grid%xa%t(its:ite,jts:jte,:)**2)/typical_t_rms**2 + adj_par_lhs
118    adj_par_lhs = sum(grid%xa%q(its:ite,jts:jte,:)**2)/typical_q_rms**2 + adj_par_lhs
119    adj_par_lhs = sum(grid%xa%psfc(its:ite,jts:jte)**2)/typical_p_rms**2 + adj_par_lhs
120 
121    adj_par_lhs = sum(grid%xa%p(its:ite,jts:jte,:)**2)/typical_p_rms**2 + adj_par_lhs
122    adj_par_lhs = sum(grid%xa%rho(its:ite,jts:jte,:)**2)/typical_rho_rms**2 + &
123       adj_par_lhs
124 
125    if (use_radarobs) then
126       adj_par_lhs = adj_par_lhs &
127                 + sum(grid%xa % wh (its:ite, jts:jte, kts:kte)**2)/typical_w_rms**2
128    else
129       adj_par_lhs = adj_par_lhs &
130                 + sum(grid%xa % w  (its:ite, jts:jte, kts:kte)**2)/typical_w_rms**2
131    end if
132 
133    if (cv_options_hum == cv_options_hum_relative_humidity) then
134       adj_par_lhs = sum(grid%xa % rh(its:ite,jts:jte,:)**2) / &
135          typical_rh_rms**2 + adj_par_lhs
136    end if
137 
138    !-------------------------------------------------------------------------
139    ! [4.0] Rescale input to adjoint routine:
140    !-------------------------------------------------------------------------
141       
142    grid%xa % u(:,:,:) = grid%xa % u(:,:,:) / typical_u_rms**2
143    grid%xa % v(:,:,:) = grid%xa % v(:,:,:) / typical_v_rms**2
144    grid%xa % t(:,:,:) = grid%xa % t(:,:,:) / typical_t_rms**2
145    grid%xa % q(:,:,:) = grid%xa % q(:,:,:) / typical_q_rms**2
146    grid%xa%psfc(:,:) = grid%xa%psfc(:,:) / typical_p_rms**2
147 
148    grid%xa % p(:,:,:) = grid%xa % p(:,:,:) / typical_p_rms**2
149    grid%xa % rho(:,:,:) = grid%xa % rho(:,:,:) / typical_rho_rms**2
150 
151    if (use_radarobs) then
152       grid%xa %wh(:,:,:) = grid%xa %wh(:,:,:) / typical_w_rms**2
153       grid%xa % w(:,:,:) = 0.0
154    else
155       grid%xa %w (:,:,:) = grid%xa %w (:,:,:) / typical_w_rms**2
156    end if
157 
158    if (cv_options_hum == cv_options_hum_relative_humidity) then
159       grid%xa % rh(:,:,:) = grid%xa % rh(:,:,:) / typical_rh_rms**2
160    end if
161    
162    !-------------------------------------------------------------------------
163    ! [5.0] Perform adjoint operation:
164    !-------------------------------------------------------------------------
165 
166    call da_zero_vp_type (vp)
167 
168    call da_transform_vptox_adj(grid, vp, be, ep)
169 
170    !-------------------------------------------------------------------------
171    ! [6.0] Calculate RHS of adjoint test equation:
172    !-------------------------------------------------------------------------
173 
174    adj_par_rhs = sum(vp % v1(its:ite,jts:jte,:) * vp2_v1(its:ite,jts:jte,:))
175    adj_par_rhs = sum(vp % v2(its:ite,jts:jte,:) * vp2_v2(its:ite,jts:jte,:)) + &
176       adj_par_rhs
177    adj_par_rhs = sum(vp % v3(its:ite,jts:jte,:) * vp2_v3(its:ite,jts:jte,:)) + &
178       adj_par_rhs
179    adj_par_rhs = sum(vp % v4(its:ite,jts:jte,:) * vp2_v4(its:ite,jts:jte,:)) + &
180       adj_par_rhs
181    adj_par_rhs = sum(vp % v5(its:ite,jts:jte,:) * vp2_v5(its:ite,jts:jte,:)) + &
182       adj_par_rhs
183 
184    if (be % ne > 0) then
185       adj_par_rhs = sum(vp % alpha(its:ite,jts:jte,:) * &
186          vp2_alpha(its:ite,jts:jte,:)) + adj_par_rhs
187    end if
188 
189    !-------------------------------------------------------------------------
190    ! [7.0] Print output:
191    !-------------------------------------------------------------------------
192 
193    adj_sum_lhs = wrf_dm_sum_real(adj_par_lhs)
194    adj_sum_rhs = wrf_dm_sum_real(adj_par_rhs)
195    write (unit=stdout,fmt='(A,2E22.14)') &
196       'TEST_COVERAGE_da_check_vptox_adjoint B:  adj_sum_lhs,adj_sum_rhs = ', &
197       adj_sum_lhs,adj_sum_rhs
198 
199    if (rootproc) then
200       write(unit=stdout, fmt='(/)')
201       write(unit=stdout, fmt='(a,1pe22.14)') &
202          'Whole  Domain: < x, x >       = ', adj_sum_lhs, &
203          'Whole  Domain: < vp_adj, vp > = ', adj_sum_rhs
204    end if
205 
206    vp % v1(:,:,:) = vp2_v1(:,:,:)
207    vp % v2(:,:,:) = vp2_v2(:,:,:)
208    vp % v3(:,:,:) = vp2_v3(:,:,:)
209    vp % v4(:,:,:) = vp2_v4(:,:,:)
210    vp % v5(:,:,:) = vp2_v5(:,:,:)
211    if (be % ne > 0) vp % alpha(:,:,:) = vp2_alpha(:,:,:)
212 
213    write(unit=stdout, fmt='(/a/)') &
214         'End of da_check_vptox_adjoint.'
215 
216    if (trace_use) call da_trace_exit("da_check_vptox_adjoint")
217       
218 end subroutine da_check_vptox_adjoint
219 
220