1 | MODULE dynzdf_exp_tam |
---|
2 | #ifdef key_tam |
---|
3 | !!============================================================================== |
---|
4 | !! *** MODULE dynzdf_exp_tam *** |
---|
5 | !! Ocean dynamics: vertical component(s) of the momentum mixing trend |
---|
6 | !! Tangent and Adjoint Module |
---|
7 | !!============================================================================== |
---|
8 | !! History of the direct module: |
---|
9 | !! ! 90-10 (B. Blanke) Original code |
---|
10 | !! ! 97-05 (G. Madec) vertical component of isopycnal |
---|
11 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
---|
12 | !! History of the TAM module: |
---|
13 | !! 9.0 ! 08-0! (A. Vidard) Skeleton |
---|
14 | !!---------------------------------------------------------------------- |
---|
15 | |
---|
16 | !!---------------------------------------------------------------------- |
---|
17 | !! dyn_zdf_exp : update the momentum trend with the vertical diffu- |
---|
18 | !! sion using an explicit time-stepping scheme. |
---|
19 | !!---------------------------------------------------------------------- |
---|
20 | !! * Modules used |
---|
21 | |
---|
22 | USE par_kind , ONLY: & ! Precision variables |
---|
23 | & wp |
---|
24 | USE par_oce , ONLY: & ! Ocean space and time domain variables |
---|
25 | & jpi, & |
---|
26 | & jpj, & |
---|
27 | & jpk, & |
---|
28 | & jpim1, & |
---|
29 | & jpjm1, & |
---|
30 | & jpkm1 |
---|
31 | USE oce_tam , ONLY: & ! ocean dynamics and tracers |
---|
32 | & ub_tl, & |
---|
33 | & vb_tl, & |
---|
34 | & ua_tl, & |
---|
35 | & va_tl, & |
---|
36 | & ub_ad, & |
---|
37 | & vb_ad, & |
---|
38 | & ua_ad, & |
---|
39 | & va_ad |
---|
40 | USE zdf_oce , ONLY: & ! ocean vertical physics |
---|
41 | & avmu, & |
---|
42 | & avmv, & |
---|
43 | & n_zdfexp |
---|
44 | USE dom_oce , ONLY: & ! ocean space and time domain |
---|
45 | #if defined key_zco |
---|
46 | & e3t_0, & |
---|
47 | & e3w_0, & |
---|
48 | #else |
---|
49 | & e3u, & |
---|
50 | & e3v, & |
---|
51 | & e3uw, & |
---|
52 | & e3vw, & |
---|
53 | #endif |
---|
54 | & umask, & |
---|
55 | & vmask |
---|
56 | USE phycst , ONLY: & ! physical constants |
---|
57 | & rau0 |
---|
58 | USE in_out_manager, ONLY: & ! I/O manager |
---|
59 | & nit000, & |
---|
60 | & nitend, & |
---|
61 | & numout, & |
---|
62 | & lwp, & |
---|
63 | & ctl_stop |
---|
64 | IMPLICIT NONE |
---|
65 | PRIVATE |
---|
66 | |
---|
67 | !! * Routine accessibility |
---|
68 | PUBLIC dyn_zdf_exp_tan ! called by dynzdf_tam.F90 |
---|
69 | PUBLIC dyn_zdf_exp_adj ! called by dynzdf_tam.F90 |
---|
70 | |
---|
71 | !! * Substitutions |
---|
72 | # include "domzgr_substitute.h90" |
---|
73 | # include "vectopt_loop_substitute.h90" |
---|
74 | !!---------------------------------------------------------------------- |
---|
75 | |
---|
76 | CONTAINS |
---|
77 | |
---|
78 | SUBROUTINE dyn_zdf_exp_tan( kt, p2dt ) |
---|
79 | !!---------------------------------------------------------------------- |
---|
80 | !! *** ROUTINE dyn_zdf_exp_tan *** |
---|
81 | !! |
---|
82 | !! ** Purpose of the direct routine: |
---|
83 | !! Compute the trend due to the vert. momentum diffusion |
---|
84 | !! |
---|
85 | !! ** Method of the direct routine: |
---|
86 | !! Explicit forward time stepping with a time splitting |
---|
87 | !! technique. The vertical diffusion of momentum is given by: |
---|
88 | !! diffu = dz( avmu dz(u) ) = 1/e3u dk+1( avmu/e3uw dk(ub) ) |
---|
89 | !! Surface boundary conditions: wind stress input |
---|
90 | !! Bottom boundary conditions : bottom stress (cf zdfbfr.F90) |
---|
91 | !! Add this trend to the general trend ua : |
---|
92 | !! ua = ua + dz( avmu dz(u) ) |
---|
93 | !! |
---|
94 | !! ** Action : - Update (ua,va) with the vertical diffusive trend |
---|
95 | !!--------------------------------------------------------------------- |
---|
96 | !! * Arguments |
---|
97 | INTEGER , INTENT( in ) :: kt ! ocean time-step index |
---|
98 | REAL(wp), INTENT( in ) :: p2dt ! time-step |
---|
99 | |
---|
100 | !! * Local declarations |
---|
101 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
---|
102 | REAL(wp) :: zrau0r, zlavmr, zuatl, zvatl ! temporary scalars |
---|
103 | REAL(wp), DIMENSION(jpi,jpk) :: zwxtl, zwytl, zwztl, zwwtl ! temporary workspace arrays |
---|
104 | !!---------------------------------------------------------------------- |
---|
105 | |
---|
106 | IF( kt == nit000 ) THEN |
---|
107 | IF(lwp) WRITE(numout,*) |
---|
108 | IF(lwp) WRITE(numout,*) 'dyn_zdf_exp_tan : vertical momentum diffusion explicit operator' |
---|
109 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~ ' |
---|
110 | ENDIF |
---|
111 | ! Local constant initialization |
---|
112 | ! ----------------------------- |
---|
113 | zrau0r = 1. / rau0 ! inverse of the reference density |
---|
114 | zlavmr = 1. / float( n_zdfexp ) ! inverse of the number of sub time step |
---|
115 | |
---|
116 | ! ! =============== |
---|
117 | DO jj = 2, jpjm1 ! Vertical slab |
---|
118 | ! ! =============== |
---|
119 | |
---|
120 | ! Surface boundary condition |
---|
121 | DO ji = 2, jpim1 |
---|
122 | zwytl(ji,1) = 0.0_wp |
---|
123 | zwwtl(ji,1) = 0.0_wp |
---|
124 | END DO |
---|
125 | |
---|
126 | ! Initialization of x, z and contingently trends array |
---|
127 | DO jk = 1, jpk |
---|
128 | DO ji = 2, jpim1 |
---|
129 | zwxtl(ji,jk) = ub_tl(ji,jj,jk) |
---|
130 | zwztl(ji,jk) = vb_tl(ji,jj,jk) |
---|
131 | END DO |
---|
132 | END DO |
---|
133 | |
---|
134 | ! Time splitting loop |
---|
135 | DO jl = 1, n_zdfexp |
---|
136 | |
---|
137 | ! First vertical derivative |
---|
138 | DO jk = 2, jpk |
---|
139 | DO ji = 2, jpim1 |
---|
140 | zwytl(ji,jk) = avmu(ji,jj,jk) * ( zwxtl(ji,jk-1) - zwxtl(ji,jk) ) / fse3uw(ji,jj,jk) |
---|
141 | zwwtl(ji,jk) = avmv(ji,jj,jk) * ( zwztl(ji,jk-1) - zwztl(ji,jk) ) / fse3vw(ji,jj,jk) |
---|
142 | END DO |
---|
143 | END DO |
---|
144 | |
---|
145 | ! Second vertical derivative and trend estimation at kt+l*rdt/n_zdfexp |
---|
146 | DO jk = 1, jpkm1 |
---|
147 | DO ji = 2, jpim1 |
---|
148 | zuatl = zlavmr*( zwytl(ji,jk) - zwytl(ji,jk+1) ) / fse3u(ji,jj,jk) |
---|
149 | zvatl = zlavmr*( zwwtl(ji,jk) - zwwtl(ji,jk+1) ) / fse3v(ji,jj,jk) |
---|
150 | ua_tl(ji,jj,jk) = ua_tl(ji,jj,jk) + zuatl |
---|
151 | va_tl(ji,jj,jk) = va_tl(ji,jj,jk) + zvatl |
---|
152 | |
---|
153 | zwxtl(ji,jk) = zwxtl(ji,jk) + p2dt*zuatl*umask(ji,jj,jk) |
---|
154 | zwztl(ji,jk) = zwztl(ji,jk) + p2dt*zvatl*vmask(ji,jj,jk) |
---|
155 | END DO |
---|
156 | END DO |
---|
157 | |
---|
158 | END DO |
---|
159 | |
---|
160 | ! ! =============== |
---|
161 | END DO ! End of slab |
---|
162 | ! ! =============== |
---|
163 | |
---|
164 | |
---|
165 | END SUBROUTINE dyn_zdf_exp_tan |
---|
166 | SUBROUTINE dyn_zdf_exp_adj( kt, p2dt ) |
---|
167 | !!---------------------------------------------------------------------- |
---|
168 | !! *** ROUTINE dyn_zdf_exp_adj *** |
---|
169 | !! |
---|
170 | !! ** Purpose of the direct routine: |
---|
171 | !! Compute the trend due to the vert. momentum diffusion |
---|
172 | !! |
---|
173 | !! ** Method of the direct routine: |
---|
174 | !! Explicit forward time stepping with a time splitting |
---|
175 | !! technique. The vertical diffusion of momentum is given by: |
---|
176 | !! diffu = dz( avmu dz(u) ) = 1/e3u dk+1( avmu/e3uw dk(ub) ) |
---|
177 | !! Surface boundary conditions: wind stress input |
---|
178 | !! Bottom boundary conditions : bottom stress (cf zdfbfr.F90) |
---|
179 | !! Add this trend to the general trend ua : |
---|
180 | !! ua = ua + dz( avmu dz(u) ) |
---|
181 | !! |
---|
182 | !! ** Action : - Update (ua,va) with the vertical diffusive trend |
---|
183 | !!--------------------------------------------------------------------- |
---|
184 | !! * Arguments |
---|
185 | INTEGER , INTENT( in ) :: kt ! ocean time-step index |
---|
186 | REAL(wp), INTENT( in ) :: p2dt ! time-step |
---|
187 | |
---|
188 | !! * Local declarations |
---|
189 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
---|
190 | REAL(wp) :: zrau0r, zlavmr, zua, zva ! temporary scalars |
---|
191 | REAL(wp), DIMENSION(jpi,jpk) :: zwx, zwy, zwz, zww ! temporary workspace arrays |
---|
192 | !!---------------------------------------------------------------------- |
---|
193 | |
---|
194 | IF( kt == nitend ) THEN |
---|
195 | IF(lwp) WRITE(numout,*) |
---|
196 | IF(lwp) WRITE(numout,*) 'dyn_zdf_exp_adj : vertical momentum diffusion explicit operator' |
---|
197 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~ ' |
---|
198 | ENDIF |
---|
199 | |
---|
200 | CALL ctl_stop ('dyn_zdf_exp_adj not available yet') |
---|
201 | END SUBROUTINE dyn_zdf_exp_adj |
---|
202 | #endif |
---|
203 | !!============================================================================== |
---|
204 | END MODULE dynzdf_exp_tam |
---|