[3] | 1 | MODULE dynhpg |
---|
| 2 | !!====================================================================== |
---|
| 3 | !! *** MODULE dynhpg *** |
---|
| 4 | !! Ocean dynamics: hydrostatic pressure gradient trend |
---|
| 5 | !!====================================================================== |
---|
[503] | 6 | !! History : 1.0 ! 87-09 (P. Andrich, M.-A. Foujols) hpg_zco: Original code |
---|
| 7 | !! 5.0 ! 91-11 (G. Madec) |
---|
| 8 | !! 7.0 ! 96-01 (G. Madec) hpg_sco: Original code for s-coordinates |
---|
| 9 | !! 8.0 ! 97-05 (G. Madec) split dynber into dynkeg and dynhpg |
---|
| 10 | !! 8.5 ! 02-07 (G. Madec) F90: Free form and module |
---|
| 11 | !! 8.5 ! 02-08 (A. Bozec) hpg_zps: Original code |
---|
| 12 | !! 9.0 ! 05-10 (A. Beckmann, B.W. An) various s-coordinate options |
---|
| 13 | !! Original code for hpg_ctl, hpg_hel hpg_wdj, hpg_djc, hpg_rot |
---|
| 14 | !! 9.0 ! 05-11 (G. Madec) style & small optimisation |
---|
| 15 | !!---------------------------------------------------------------------- |
---|
[3] | 16 | |
---|
| 17 | !!---------------------------------------------------------------------- |
---|
[455] | 18 | !! dyn_hpg : update the momentum trend with the now horizontal |
---|
[3] | 19 | !! gradient of the hydrostatic pressure |
---|
[455] | 20 | !! default case : k-j-i loops (vector opt. available) |
---|
| 21 | !! hpg_ctl : initialisation and control of options |
---|
| 22 | !! hpg_zco : z-coordinate scheme |
---|
| 23 | !! hpg_zps : z-coordinate plus partial steps (interpolation) |
---|
| 24 | !! hpg_sco : s-coordinate (standard jacobian formulation) |
---|
| 25 | !! hpg_hel : s-coordinate (helsinki modification) |
---|
| 26 | !! hpg_wdj : s-coordinate (weighted density jacobian) |
---|
| 27 | !! hpg_djc : s-coordinate (Density Jacobian with Cubic polynomial) |
---|
| 28 | !! hpg_rot : s-coordinate (ROTated axes scheme) |
---|
[3] | 29 | !!---------------------------------------------------------------------- |
---|
| 30 | USE oce ! ocean dynamics and tracers |
---|
| 31 | USE dom_oce ! ocean space and time domain |
---|
[455] | 32 | USE dynhpg_jki ! |
---|
[3] | 33 | USE phycst ! physical constants |
---|
| 34 | USE in_out_manager ! I/O manager |
---|
[216] | 35 | USE trdmod ! ocean dynamics trends |
---|
| 36 | USE trdmod_oce ! ocean variables trends |
---|
[258] | 37 | USE prtctl ! Print control |
---|
[455] | 38 | USE lbclnk ! lateral boundary condition |
---|
[3] | 39 | |
---|
| 40 | IMPLICIT NONE |
---|
| 41 | PRIVATE |
---|
| 42 | |
---|
[503] | 43 | PUBLIC dyn_hpg ! routine called by step module |
---|
[3] | 44 | |
---|
[455] | 45 | #if defined key_mpp_omp |
---|
| 46 | !!---------------------------------------------------------------------- |
---|
| 47 | !! 'key_mpp_omp' : j-k-i loop (j-slab) |
---|
| 48 | !!---------------------------------------------------------------------- |
---|
| 49 | LOGICAL, PUBLIC, PARAMETER :: lk_dynhpg_jki = .TRUE. !: OpenMP hpg flag |
---|
| 50 | LOGICAL, PUBLIC, PARAMETER :: lk_dynhpg = .FALSE. !: vector hpg flag |
---|
| 51 | #else |
---|
| 52 | !!---------------------------------------------------------------------- |
---|
| 53 | !! default case : k-j-i loop (vector opt.) |
---|
| 54 | !!---------------------------------------------------------------------- |
---|
| 55 | LOGICAL, PUBLIC, PARAMETER :: lk_dynhpg_jki = .FALSE. !: OpenMP hpg flag |
---|
| 56 | LOGICAL, PUBLIC, PARAMETER :: lk_dynhpg = .TRUE. !: vector hpg flag |
---|
| 57 | #endif |
---|
| 58 | |
---|
[503] | 59 | !!* Namelist nam_dynhpg : Choice of horizontal pressure gradient computation |
---|
| 60 | LOGICAL :: ln_hpg_zco = .TRUE. ! z-coordinate - full steps |
---|
| 61 | LOGICAL :: ln_hpg_zps = .FALSE. ! z-coordinate - partial steps (interpolation) |
---|
| 62 | LOGICAL :: ln_hpg_sco = .FALSE. ! s-coordinate (standard jacobian formulation) |
---|
| 63 | LOGICAL :: ln_hpg_hel = .FALSE. ! s-coordinate (helsinki modification) |
---|
| 64 | LOGICAL :: ln_hpg_wdj = .FALSE. ! s-coordinate (weighted density jacobian) |
---|
| 65 | LOGICAL :: ln_hpg_djc = .FALSE. ! s-coordinate (Density Jacobian with Cubic polynomial) |
---|
| 66 | LOGICAL :: ln_hpg_rot = .FALSE. ! s-coordinate (ROTated axes scheme) |
---|
| 67 | REAL(wp) :: gamm = 0.e0 ! weighting coefficient |
---|
[455] | 68 | |
---|
[503] | 69 | INTEGER :: nhpg = 0 ! = 0 to 6, type of pressure gradient scheme used |
---|
| 70 | ! ! (deduced from ln_hpg_... flags) |
---|
[455] | 71 | |
---|
[3] | 72 | !! * Substitutions |
---|
| 73 | # include "domzgr_substitute.h90" |
---|
| 74 | # include "vectopt_loop_substitute.h90" |
---|
| 75 | !!---------------------------------------------------------------------- |
---|
[247] | 76 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
---|
[719] | 77 | !! $Header$ |
---|
[503] | 78 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
---|
[3] | 79 | !!---------------------------------------------------------------------- |
---|
| 80 | |
---|
| 81 | CONTAINS |
---|
| 82 | |
---|
| 83 | SUBROUTINE dyn_hpg( kt ) |
---|
| 84 | !!--------------------------------------------------------------------- |
---|
| 85 | !! *** ROUTINE dyn_hpg *** |
---|
| 86 | !! |
---|
[455] | 87 | !! ** Method : Call the hydrostatic pressure gradient routine |
---|
[503] | 88 | !! using the scheme defined in the namelist |
---|
[455] | 89 | !! |
---|
| 90 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
---|
| 91 | !! - Save the trend (l_trddyn=T) |
---|
[503] | 92 | !!---------------------------------------------------------------------- |
---|
| 93 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
[3] | 94 | !! |
---|
[503] | 95 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: ztrdu, ztrdv ! 3D temporary workspace |
---|
[455] | 96 | !!---------------------------------------------------------------------- |
---|
| 97 | |
---|
| 98 | IF( kt == nit000 ) CALL hpg_ctl ! initialisation & control of options |
---|
| 99 | |
---|
[503] | 100 | IF( l_trddyn ) THEN ! Temporary saving of ua and va trends (l_trddyn) |
---|
[455] | 101 | ztrdu(:,:,:) = ua(:,:,:) |
---|
| 102 | ztrdv(:,:,:) = va(:,:,:) |
---|
| 103 | ENDIF |
---|
| 104 | |
---|
| 105 | SELECT CASE ( nhpg ) ! Hydrastatic pressure gradient computation |
---|
[503] | 106 | CASE ( 0 ) ; CALL hpg_zco ( kt ) ! z-coordinate |
---|
| 107 | CASE ( 1 ) ; CALL hpg_zps ( kt ) ! z-coordinate plus partial steps (interpolation) |
---|
| 108 | CASE ( 2 ) ; CALL hpg_sco ( kt ) ! s-coordinate (standard jacobian formulation) |
---|
| 109 | CASE ( 3 ) ; CALL hpg_hel ( kt ) ! s-coordinate (helsinki modification) |
---|
| 110 | CASE ( 4 ) ; CALL hpg_wdj ( kt ) ! s-coordinate (weighted density jacobian) |
---|
| 111 | CASE ( 5 ) ; CALL hpg_djc ( kt ) ! s-coordinate (Density Jacobian with Cubic polynomial) |
---|
| 112 | CASE ( 6 ) ; CALL hpg_rot ( kt ) ! s-coordinate (ROTated axes scheme) |
---|
| 113 | CASE ( 10 ) ; CALL hpg_zco_jki( kt ) ! z-coordinate (k-j-i) |
---|
| 114 | CASE ( 11 ) ; CALL hpg_zps_jki( kt ) ! z-coordinate plus partial steps (interpolation) (k-j-i) |
---|
| 115 | CASE ( 12 ) ; CALL hpg_sco_jki( kt ) ! s-coordinate (standard jacobian formulation) (k-j-i) |
---|
[455] | 116 | END SELECT |
---|
| 117 | |
---|
[503] | 118 | IF( l_trddyn ) THEN ! save the hydrostatic pressure gradient trends for momentum trend diagnostics |
---|
[455] | 119 | ztrdu(:,:,:) = ua(:,:,:) - ztrdu(:,:,:) |
---|
| 120 | ztrdv(:,:,:) = va(:,:,:) - ztrdv(:,:,:) |
---|
[503] | 121 | CALL trd_mod( ztrdu, ztrdv, jpdyn_trd_hpg, 'DYN', kt ) |
---|
[455] | 122 | ENDIF |
---|
[503] | 123 | ! |
---|
| 124 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ua, clinfo1=' hpg - Ua: ', mask1=umask, & |
---|
| 125 | & tab3d_2=va, clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
---|
| 126 | ! |
---|
[455] | 127 | END SUBROUTINE dyn_hpg |
---|
| 128 | |
---|
| 129 | |
---|
| 130 | SUBROUTINE hpg_ctl |
---|
| 131 | !!---------------------------------------------------------------------- |
---|
| 132 | !! *** ROUTINE hpg_ctl *** |
---|
| 133 | !! |
---|
| 134 | !! ** Purpose : initializations for the hydrostatic pressure gradient |
---|
| 135 | !! computation and consistency control |
---|
| 136 | !! |
---|
| 137 | !! ** Action : Read the namelist namdynhpg and check the consistency |
---|
| 138 | !! with the type of vertical coordinate used (zco, zps, sco) |
---|
| 139 | !!---------------------------------------------------------------------- |
---|
| 140 | INTEGER :: ioptio = 0 ! temporary integer |
---|
[541] | 141 | |
---|
| 142 | NAMELIST/nam_dynhpg/ ln_hpg_zco, ln_hpg_zps, ln_hpg_sco, ln_hpg_hel, & |
---|
| 143 | & ln_hpg_wdj, ln_hpg_djc, ln_hpg_rot, gamm |
---|
[455] | 144 | !!---------------------------------------------------------------------- |
---|
| 145 | |
---|
[503] | 146 | REWIND ( numnam ) ! Read Namelist nam_dynhpg : pressure gradient calculation options |
---|
[455] | 147 | READ ( numnam, nam_dynhpg ) |
---|
| 148 | |
---|
[503] | 149 | IF(lwp) THEN ! Control print |
---|
[455] | 150 | WRITE(numout,*) |
---|
| 151 | WRITE(numout,*) 'dyn:hpg_ctl : hydrostatic pressure gradient control' |
---|
| 152 | WRITE(numout,*) '~~~~~~~~~~~' |
---|
| 153 | WRITE(numout,*) ' Namelist nam_dynhpg : choice of hpg scheme' |
---|
| 154 | WRITE(numout,*) ' z-coord. - full steps ln_hpg_zco = ', ln_hpg_zco |
---|
| 155 | WRITE(numout,*) ' z-coord. - partial steps (interpolation) ln_hpg_zps = ', ln_hpg_zps |
---|
| 156 | WRITE(numout,*) ' s-coord. (standard jacobian formulation) ln_hpg_sco = ', ln_hpg_sco |
---|
| 157 | WRITE(numout,*) ' s-coord. (helsinki modification) ln_hpg_hel = ', ln_hpg_hel |
---|
| 158 | WRITE(numout,*) ' s-coord. (weighted density jacobian) ln_hpg_wdj = ', ln_hpg_wdj |
---|
| 159 | WRITE(numout,*) ' s-coord. (Density Jacobian: Cubic polynomial) ln_hpg_djc = ', ln_hpg_djc |
---|
| 160 | WRITE(numout,*) ' s-coord. (ROTated axes scheme) ln_hpg_rot = ', ln_hpg_rot |
---|
| 161 | WRITE(numout,*) ' weighting coeff. (wdj scheme) gamm = ', gamm |
---|
| 162 | ENDIF |
---|
| 163 | |
---|
[592] | 164 | IF( lk_vvl .AND. .NOT. ln_hpg_sco ) THEN |
---|
| 165 | CALL ctl_stop( 'hpg_ctl : variable volume key_vvl compatible only with the standard jacobian formulation hpg_sco') |
---|
| 166 | ENDIF |
---|
| 167 | |
---|
[503] | 168 | ! ! Set nhpg from ln_hpg_... flags |
---|
[455] | 169 | IF( ln_hpg_zco ) nhpg = 0 |
---|
| 170 | IF( ln_hpg_zps ) nhpg = 1 |
---|
| 171 | IF( ln_hpg_sco ) nhpg = 2 |
---|
| 172 | IF( ln_hpg_hel ) nhpg = 3 |
---|
| 173 | IF( ln_hpg_wdj ) nhpg = 4 |
---|
| 174 | IF( ln_hpg_djc ) nhpg = 5 |
---|
| 175 | IF( ln_hpg_rot ) nhpg = 6 |
---|
| 176 | |
---|
[503] | 177 | ! ! Consitency check |
---|
[455] | 178 | ioptio = 0 |
---|
| 179 | IF( ln_hpg_zco ) ioptio = ioptio + 1 |
---|
| 180 | IF( ln_hpg_zps ) ioptio = ioptio + 1 |
---|
| 181 | IF( ln_hpg_sco ) ioptio = ioptio + 1 |
---|
| 182 | IF( ln_hpg_hel ) ioptio = ioptio + 1 |
---|
| 183 | IF( ln_hpg_wdj ) ioptio = ioptio + 1 |
---|
| 184 | IF( ln_hpg_djc ) ioptio = ioptio + 1 |
---|
| 185 | IF( ln_hpg_rot ) ioptio = ioptio + 1 |
---|
[503] | 186 | IF ( ioptio /= 1 ) CALL ctl_stop( ' NO or several hydrostatic pressure gradient options used' ) |
---|
[455] | 187 | |
---|
| 188 | IF( lk_dynhpg_jki ) THEN |
---|
| 189 | nhpg = nhpg + 10 |
---|
| 190 | IF(lwp) WRITE(numout,*) |
---|
| 191 | IF(lwp) WRITE(numout,*) ' Autotasking or OPENMP: use j-k-i loops (i.e. _jki routines)' |
---|
| 192 | ENDIF |
---|
[503] | 193 | ! |
---|
[455] | 194 | END SUBROUTINE hpg_ctl |
---|
| 195 | |
---|
| 196 | |
---|
| 197 | SUBROUTINE hpg_zco( kt ) |
---|
| 198 | !!--------------------------------------------------------------------- |
---|
| 199 | !! *** ROUTINE hpg_zco *** |
---|
| 200 | !! |
---|
| 201 | !! ** Method : z-coordinate case, levels are horizontal surfaces. |
---|
| 202 | !! The now hydrostatic pressure gradient at a given level, jk, |
---|
| 203 | !! is computed by taking the vertical integral of the in-situ |
---|
| 204 | !! density gradient along the model level from the suface to that |
---|
| 205 | !! level: zhpi = grav ..... |
---|
| 206 | !! zhpj = grav ..... |
---|
[3] | 207 | !! add it to the general momentum trend (ua,va). |
---|
[455] | 208 | !! ua = ua - 1/e1u * zhpi |
---|
| 209 | !! va = va - 1/e2v * zhpj |
---|
| 210 | !! |
---|
[3] | 211 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
---|
[503] | 212 | !!---------------------------------------------------------------------- |
---|
| 213 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
---|
| 214 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
---|
[3] | 215 | !! |
---|
[503] | 216 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 217 | !! |
---|
| 218 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 219 | REAL(wp) :: zcoef0, zcoef1 ! temporary scalars |
---|
[3] | 220 | !!---------------------------------------------------------------------- |
---|
[455] | 221 | |
---|
[3] | 222 | IF( kt == nit000 ) THEN |
---|
| 223 | IF(lwp) WRITE(numout,*) |
---|
[455] | 224 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zco : hydrostatic pressure gradient trend' |
---|
| 225 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ z-coordinate case ' |
---|
[3] | 226 | ENDIF |
---|
[455] | 227 | |
---|
| 228 | ! Local constant initialization |
---|
[32] | 229 | zcoef0 = - grav * 0.5 |
---|
[3] | 230 | |
---|
[455] | 231 | ! Surface value |
---|
[3] | 232 | DO jj = 2, jpjm1 |
---|
| 233 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[455] | 234 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
---|
| 235 | ! hydrostatic pressure gradient |
---|
| 236 | zhpi(ji,jj,1) = zcoef1 * ( rhd(ji+1,jj,1) - rhd(ji,jj,1) ) / e1u(ji,jj) |
---|
| 237 | zhpj(ji,jj,1) = zcoef1 * ( rhd(ji,jj+1,1) - rhd(ji,jj,1) ) / e2v(ji,jj) |
---|
[3] | 238 | ! add to the general momentum trend |
---|
[455] | 239 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
---|
| 240 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
---|
| 241 | END DO |
---|
| 242 | END DO |
---|
[503] | 243 | ! |
---|
[455] | 244 | ! interior value (2=<jk=<jpkm1) |
---|
[3] | 245 | DO jk = 2, jpkm1 |
---|
[455] | 246 | DO jj = 2, jpjm1 |
---|
[3] | 247 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[455] | 248 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
---|
| 249 | ! hydrostatic pressure gradient |
---|
| 250 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
---|
| 251 | & + zcoef1 * ( ( rhd(ji+1,jj,jk)+rhd(ji+1,jj,jk-1) ) & |
---|
| 252 | & - ( rhd(ji ,jj,jk)+rhd(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
---|
| 253 | |
---|
| 254 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
---|
| 255 | & + zcoef1 * ( ( rhd(ji,jj+1,jk)+rhd(ji,jj+1,jk-1) ) & |
---|
| 256 | & - ( rhd(ji,jj, jk)+rhd(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
---|
[3] | 257 | ! add to the general momentum trend |
---|
[455] | 258 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
---|
| 259 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
---|
[3] | 260 | END DO |
---|
| 261 | END DO |
---|
| 262 | END DO |
---|
[503] | 263 | ! |
---|
[455] | 264 | END SUBROUTINE hpg_zco |
---|
[216] | 265 | |
---|
[3] | 266 | |
---|
[455] | 267 | SUBROUTINE hpg_zps( kt ) |
---|
[3] | 268 | !!--------------------------------------------------------------------- |
---|
[455] | 269 | !! *** ROUTINE hpg_zps *** |
---|
[3] | 270 | !! |
---|
[455] | 271 | !! ** Method : z-coordinate plus partial steps case. blahblah... |
---|
| 272 | !! |
---|
[3] | 273 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
---|
[455] | 274 | !!---------------------------------------------------------------------- |
---|
[503] | 275 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
---|
| 276 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
---|
| 277 | !! |
---|
| 278 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 279 | !! |
---|
| 280 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 281 | INTEGER :: iku, ikv ! temporary integers |
---|
| 282 | REAL(wp) :: zcoef0, zcoef1, zcoef2, zcoef3 ! temporary scalars |
---|
[3] | 283 | !!---------------------------------------------------------------------- |
---|
| 284 | |
---|
| 285 | IF( kt == nit000 ) THEN |
---|
| 286 | IF(lwp) WRITE(numout,*) |
---|
[455] | 287 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zps : hydrostatic pressure gradient trend' |
---|
[503] | 288 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ z-coordinate with partial steps - vector optimization' |
---|
[3] | 289 | ENDIF |
---|
| 290 | |
---|
[503] | 291 | ! Local constant initialization |
---|
[32] | 292 | zcoef0 = - grav * 0.5 |
---|
[3] | 293 | |
---|
[503] | 294 | ! Surface value |
---|
[3] | 295 | DO jj = 2, jpjm1 |
---|
| 296 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[170] | 297 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
---|
[3] | 298 | ! hydrostatic pressure gradient |
---|
[455] | 299 | zhpi(ji,jj,1) = zcoef1 * ( rhd(ji+1,jj ,1) - rhd(ji,jj,1) ) / e1u(ji,jj) |
---|
| 300 | zhpj(ji,jj,1) = zcoef1 * ( rhd(ji ,jj+1,1) - rhd(ji,jj,1) ) / e2v(ji,jj) |
---|
[3] | 301 | ! add to the general momentum trend |
---|
| 302 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
---|
| 303 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
---|
| 304 | END DO |
---|
| 305 | END DO |
---|
| 306 | |
---|
[503] | 307 | ! interior value (2=<jk=<jpkm1) |
---|
[3] | 308 | DO jk = 2, jpkm1 |
---|
| 309 | DO jj = 2, jpjm1 |
---|
| 310 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[170] | 311 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
---|
[3] | 312 | ! hydrostatic pressure gradient |
---|
| 313 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
---|
[455] | 314 | & + zcoef1 * ( ( rhd(ji+1,jj,jk) + rhd(ji+1,jj,jk-1) ) & |
---|
| 315 | & - ( rhd(ji ,jj,jk) + rhd(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
---|
[3] | 316 | |
---|
| 317 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
---|
[455] | 318 | & + zcoef1 * ( ( rhd(ji,jj+1,jk) + rhd(ji,jj+1,jk-1) ) & |
---|
| 319 | & - ( rhd(ji,jj, jk) + rhd(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
---|
[3] | 320 | ! add to the general momentum trend |
---|
| 321 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
---|
| 322 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
---|
[455] | 323 | END DO |
---|
[3] | 324 | END DO |
---|
| 325 | END DO |
---|
| 326 | |
---|
| 327 | ! partial steps correction at the last level (new gradient with intgrd.F) |
---|
| 328 | # if defined key_vectopt_loop |
---|
| 329 | jj = 1 |
---|
| 330 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
---|
| 331 | # else |
---|
| 332 | DO jj = 2, jpjm1 |
---|
| 333 | DO ji = 2, jpim1 |
---|
| 334 | # endif |
---|
| 335 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj) ) - 1 |
---|
| 336 | ikv = MIN ( mbathy(ji,jj), mbathy(ji,jj+1) ) - 1 |
---|
| 337 | zcoef2 = zcoef0 * MIN( fse3w(ji,jj,iku), fse3w(ji+1,jj ,iku) ) |
---|
| 338 | zcoef3 = zcoef0 * MIN( fse3w(ji,jj,ikv), fse3w(ji ,jj+1,ikv) ) |
---|
| 339 | ! on i-direction |
---|
| 340 | IF ( iku > 2 ) THEN |
---|
[455] | 341 | ! subtract old value |
---|
[3] | 342 | ua(ji,jj,iku) = ua(ji,jj,iku) - zhpi(ji,jj,iku) |
---|
[455] | 343 | ! compute the new one |
---|
[3] | 344 | zhpi (ji,jj,iku) = zhpi(ji,jj,iku-1) & |
---|
| 345 | + zcoef2 * ( rhd(ji+1,jj,iku-1) - rhd(ji,jj,iku-1) + gru(ji,jj) ) / e1u(ji,jj) |
---|
| 346 | ! add the new one to the general momentum trend |
---|
| 347 | ua(ji,jj,iku) = ua(ji,jj,iku) + zhpi(ji,jj,iku) |
---|
| 348 | ENDIF |
---|
| 349 | ! on j-direction |
---|
| 350 | IF ( ikv > 2 ) THEN |
---|
[455] | 351 | ! subtract old value |
---|
[3] | 352 | va(ji,jj,ikv) = va(ji,jj,ikv) - zhpj(ji,jj,ikv) |
---|
[455] | 353 | ! compute the new one |
---|
[3] | 354 | zhpj (ji,jj,ikv) = zhpj(ji,jj,ikv-1) & |
---|
| 355 | + zcoef3 * ( rhd(ji,jj+1,ikv-1) - rhd(ji,jj,ikv-1) + grv(ji,jj) ) / e2v(ji,jj) |
---|
| 356 | ! add the new one to the general momentum trend |
---|
| 357 | va(ji,jj,ikv) = va(ji,jj,ikv) + zhpj(ji,jj,ikv) |
---|
| 358 | ENDIF |
---|
| 359 | # if ! defined key_vectopt_loop |
---|
| 360 | END DO |
---|
| 361 | # endif |
---|
| 362 | END DO |
---|
[503] | 363 | ! |
---|
[455] | 364 | END SUBROUTINE hpg_zps |
---|
[216] | 365 | |
---|
[3] | 366 | |
---|
[455] | 367 | SUBROUTINE hpg_sco( kt ) |
---|
[3] | 368 | !!--------------------------------------------------------------------- |
---|
[455] | 369 | !! *** ROUTINE hpg_sco *** |
---|
[3] | 370 | !! |
---|
[455] | 371 | !! ** Method : s-coordinate case. Jacobian scheme. |
---|
| 372 | !! The now hydrostatic pressure gradient at a given level, jk, |
---|
| 373 | !! is computed by taking the vertical integral of the in-situ |
---|
[3] | 374 | !! density gradient along the model level from the suface to that |
---|
[455] | 375 | !! level. s-coordinates (ln_sco): a corrective term is added |
---|
| 376 | !! to the horizontal pressure gradient : |
---|
| 377 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
---|
| 378 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
---|
[3] | 379 | !! add it to the general momentum trend (ua,va). |
---|
[455] | 380 | !! ua = ua - 1/e1u * zhpi |
---|
| 381 | !! va = va - 1/e2v * zhpj |
---|
[3] | 382 | !! |
---|
| 383 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
---|
[503] | 384 | !!---------------------------------------------------------------------- |
---|
| 385 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
---|
| 386 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
---|
[3] | 387 | !! |
---|
[503] | 388 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 389 | !! |
---|
[592] | 390 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 391 | REAL(wp) :: zcoef0, zuap, zvap, znad ! temporary scalars |
---|
[3] | 392 | !!---------------------------------------------------------------------- |
---|
| 393 | |
---|
| 394 | IF( kt == nit000 ) THEN |
---|
| 395 | IF(lwp) WRITE(numout,*) |
---|
[455] | 396 | IF(lwp) WRITE(numout,*) 'dyn:hpg_sco : hydrostatic pressure gradient trend' |
---|
| 397 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, OPA original scheme used' |
---|
[3] | 398 | ENDIF |
---|
| 399 | |
---|
[503] | 400 | ! Local constant initialization |
---|
[455] | 401 | zcoef0 = - grav * 0.5 |
---|
[592] | 402 | ! To use density and not density anomaly |
---|
| 403 | IF ( lk_vvl ) THEN ; znad = 1. ! Variable volume |
---|
| 404 | ELSE ; znad = 0.e0 ! Fixed volume |
---|
| 405 | ENDIF |
---|
[455] | 406 | |
---|
[503] | 407 | ! Surface value |
---|
[455] | 408 | DO jj = 2, jpjm1 |
---|
| 409 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 410 | ! hydrostatic pressure gradient along s-surfaces |
---|
[592] | 411 | zhpi(ji,jj,1) = zcoef0 / e1u(ji,jj) * ( fse3w(ji+1,jj ,1) * ( znad + rhd(ji+1,jj ,1) ) & |
---|
| 412 | & - fse3w(ji ,jj ,1) * ( znad + rhd(ji ,jj ,1) ) ) |
---|
| 413 | zhpj(ji,jj,1) = zcoef0 / e2v(ji,jj) * ( fse3w(ji ,jj+1,1) * ( znad + rhd(ji ,jj+1,1) ) & |
---|
| 414 | & - fse3w(ji ,jj ,1) * ( znad + rhd(ji ,jj ,1) ) ) |
---|
[455] | 415 | ! s-coordinate pressure gradient correction |
---|
[592] | 416 | zuap = -zcoef0 * ( rhd (ji+1,jj,1) + rhd (ji,jj,1) + 2*znad ) & |
---|
[455] | 417 | & * ( fsde3w(ji+1,jj,1) - fsde3w(ji,jj,1) ) / e1u(ji,jj) |
---|
[592] | 418 | zvap = -zcoef0 * ( rhd (ji,jj+1,1) + rhd (ji,jj,1) + 2*znad ) & |
---|
[455] | 419 | & * ( fsde3w(ji,jj+1,1) - fsde3w(ji,jj,1) ) / e2v(ji,jj) |
---|
| 420 | ! add to the general momentum trend |
---|
| 421 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) + zuap |
---|
| 422 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) + zvap |
---|
| 423 | END DO |
---|
| 424 | END DO |
---|
| 425 | |
---|
[503] | 426 | ! interior value (2=<jk=<jpkm1) |
---|
[455] | 427 | DO jk = 2, jpkm1 |
---|
| 428 | DO jj = 2, jpjm1 |
---|
| 429 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 430 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 431 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) + zcoef0 / e1u(ji,jj) & |
---|
[592] | 432 | & * ( fse3w(ji+1,jj,jk) * ( rhd(ji+1,jj,jk) + rhd(ji+1,jj,jk-1) + 2*znad ) & |
---|
| 433 | & - fse3w(ji ,jj,jk) * ( rhd(ji ,jj,jk) + rhd(ji ,jj,jk-1) + 2*znad ) ) |
---|
[455] | 434 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) + zcoef0 / e2v(ji,jj) & |
---|
[592] | 435 | & * ( fse3w(ji,jj+1,jk) * ( rhd(ji,jj+1,jk) + rhd(ji,jj+1,jk-1) + 2*znad ) & |
---|
| 436 | & - fse3w(ji,jj ,jk) * ( rhd(ji,jj, jk) + rhd(ji,jj ,jk-1) + 2*znad ) ) |
---|
[455] | 437 | ! s-coordinate pressure gradient correction |
---|
[592] | 438 | zuap = -zcoef0 * ( rhd (ji+1,jj ,jk) + rhd (ji,jj,jk) + 2*znad ) & |
---|
[455] | 439 | & * ( fsde3w(ji+1,jj ,jk) - fsde3w(ji,jj,jk) ) / e1u(ji,jj) |
---|
[592] | 440 | zvap = -zcoef0 * ( rhd (ji ,jj+1,jk) + rhd (ji,jj,jk) + 2*znad ) & |
---|
[455] | 441 | & * ( fsde3w(ji ,jj+1,jk) - fsde3w(ji,jj,jk) ) / e2v(ji,jj) |
---|
| 442 | ! add to the general momentum trend |
---|
| 443 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) + zuap |
---|
| 444 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) + zvap |
---|
| 445 | END DO |
---|
| 446 | END DO |
---|
| 447 | END DO |
---|
[503] | 448 | ! |
---|
[455] | 449 | END SUBROUTINE hpg_sco |
---|
| 450 | |
---|
| 451 | |
---|
| 452 | SUBROUTINE hpg_hel( kt ) |
---|
| 453 | !!--------------------------------------------------------------------- |
---|
| 454 | !! *** ROUTINE hpg_hel *** |
---|
| 455 | !! |
---|
| 456 | !! ** Method : s-coordinate case. |
---|
| 457 | !! The now hydrostatic pressure gradient at a given level |
---|
| 458 | !! jk is computed by taking the vertical integral of the in-situ |
---|
| 459 | !! density gradient along the model level from the suface to that |
---|
| 460 | !! level. s-coordinates (ln_sco): a corrective term is added |
---|
| 461 | !! to the horizontal pressure gradient : |
---|
| 462 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
---|
| 463 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
---|
| 464 | !! add it to the general momentum trend (ua,va). |
---|
| 465 | !! ua = ua - 1/e1u * zhpi |
---|
| 466 | !! va = va - 1/e2v * zhpj |
---|
| 467 | !! |
---|
| 468 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
---|
| 469 | !! - Save the trend (l_trddyn=T) |
---|
[503] | 470 | !!---------------------------------------------------------------------- |
---|
| 471 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
---|
| 472 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
---|
[455] | 473 | !! |
---|
[503] | 474 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 475 | !! |
---|
| 476 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 477 | REAL(wp) :: zcoef0, zuap, zvap ! temporary scalars |
---|
[455] | 478 | !!---------------------------------------------------------------------- |
---|
| 479 | |
---|
| 480 | IF( kt == nit000 ) THEN |
---|
| 481 | IF(lwp) WRITE(numout,*) |
---|
| 482 | IF(lwp) WRITE(numout,*) 'dyn:hpg_hel : hydrostatic pressure gradient trend' |
---|
| 483 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, helsinki modified scheme' |
---|
[216] | 484 | ENDIF |
---|
| 485 | |
---|
[503] | 486 | ! Local constant initialization |
---|
[32] | 487 | zcoef0 = - grav * 0.5 |
---|
[455] | 488 | |
---|
[503] | 489 | ! Surface value |
---|
[3] | 490 | DO jj = 2, jpjm1 |
---|
| 491 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[455] | 492 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 493 | zhpi(ji,jj,1) = zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj ,1) * rhd(ji+1,jj ,1) & |
---|
| 494 | & - fse3t(ji ,jj ,1) * rhd(ji ,jj ,1) ) |
---|
| 495 | zhpj(ji,jj,1) = zcoef0 / e2v(ji,jj) * ( fse3t(ji ,jj+1,1) * rhd(ji ,jj+1,1) & |
---|
| 496 | & - fse3t(ji ,jj ,1) * rhd(ji ,jj ,1) ) |
---|
| 497 | ! s-coordinate pressure gradient correction |
---|
| 498 | zuap = -zcoef0 * ( rhd (ji+1,jj,1) + rhd (ji,jj,1) ) & |
---|
| 499 | & * ( fsdept(ji+1,jj,1) - fsdept(ji,jj,1) ) / e1u(ji,jj) |
---|
| 500 | zvap = -zcoef0 * ( rhd (ji,jj+1,1) + rhd (ji,jj,1) ) & |
---|
| 501 | & * ( fsdept(ji,jj+1,1) - fsdept(ji,jj,1) ) / e2v(ji,jj) |
---|
[3] | 502 | ! add to the general momentum trend |
---|
[455] | 503 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) + zuap |
---|
| 504 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) + zvap |
---|
[3] | 505 | END DO |
---|
| 506 | END DO |
---|
[503] | 507 | ! |
---|
| 508 | ! interior value (2=<jk=<jpkm1) |
---|
[3] | 509 | DO jk = 2, jpkm1 |
---|
| 510 | DO jj = 2, jpjm1 |
---|
| 511 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[455] | 512 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 513 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
---|
| 514 | & + zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj,jk ) * rhd(ji+1,jj,jk) & |
---|
| 515 | & -fse3t(ji ,jj,jk ) * rhd(ji ,jj,jk) ) & |
---|
| 516 | & + zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj,jk-1) * rhd(ji+1,jj,jk-1) & |
---|
| 517 | & -fse3t(ji ,jj,jk-1) * rhd(ji ,jj,jk-1) ) |
---|
| 518 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
---|
| 519 | & + zcoef0 / e2v(ji,jj) * ( fse3t(ji,jj+1,jk ) * rhd(ji,jj+1,jk) & |
---|
| 520 | & -fse3t(ji,jj ,jk ) * rhd(ji,jj, jk) ) & |
---|
| 521 | & + zcoef0 / e2v(ji,jj) * ( fse3t(ji,jj+1,jk-1) * rhd(ji,jj+1,jk-1) & |
---|
| 522 | & -fse3t(ji,jj ,jk-1) * rhd(ji,jj, jk-1) ) |
---|
| 523 | ! s-coordinate pressure gradient correction |
---|
| 524 | zuap = - zcoef0 * ( rhd (ji+1,jj,jk) + rhd (ji,jj,jk) ) & |
---|
| 525 | & * ( fsdept(ji+1,jj,jk) - fsdept(ji,jj,jk) ) / e1u(ji,jj) |
---|
| 526 | zvap = - zcoef0 * ( rhd (ji,jj+1,jk) + rhd (ji,jj,jk) ) & |
---|
| 527 | & * ( fsdept(ji,jj+1,jk) - fsdept(ji,jj,jk) ) / e2v(ji,jj) |
---|
| 528 | ! add to the general momentum trend |
---|
| 529 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) + zuap |
---|
| 530 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) + zvap |
---|
| 531 | END DO |
---|
| 532 | END DO |
---|
| 533 | END DO |
---|
[503] | 534 | ! |
---|
[455] | 535 | END SUBROUTINE hpg_hel |
---|
| 536 | |
---|
| 537 | |
---|
| 538 | SUBROUTINE hpg_wdj( kt ) |
---|
| 539 | !!--------------------------------------------------------------------- |
---|
| 540 | !! *** ROUTINE hpg_wdj *** |
---|
| 541 | !! |
---|
| 542 | !! ** Method : Weighted Density Jacobian (wdj) scheme (song 1998) |
---|
| 543 | !! The weighting coefficients from the namelist parameter gamm |
---|
| 544 | !! (alpha=0.5-gamm ; beta=1-alpha=0.5+gamm) |
---|
| 545 | !! |
---|
| 546 | !! Reference : Song, Mon. Wea. Rev., 126, 3213-3230, 1998. |
---|
[503] | 547 | !!---------------------------------------------------------------------- |
---|
| 548 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
---|
| 549 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
---|
[455] | 550 | !! |
---|
[503] | 551 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 552 | !! |
---|
| 553 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 554 | REAL(wp) :: zcoef0, zuap, zvap ! temporary scalars |
---|
| 555 | REAL(wp) :: zalph , zbeta ! " " |
---|
[455] | 556 | !!---------------------------------------------------------------------- |
---|
| 557 | |
---|
| 558 | IF( kt == nit000 ) THEN |
---|
| 559 | IF(lwp) WRITE(numout,*) |
---|
| 560 | IF(lwp) WRITE(numout,*) 'dyn:hpg_wdj : hydrostatic pressure gradient trend' |
---|
| 561 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ Weighted Density Jacobian' |
---|
| 562 | ENDIF |
---|
| 563 | |
---|
| 564 | ! Local constant initialization |
---|
| 565 | zcoef0 = - grav * 0.5 |
---|
| 566 | zalph = 0.5 - gamm ! weighting coefficients (alpha=0.5-gamm) |
---|
| 567 | zbeta = 0.5 + gamm ! (beta =1-alpha=0.5+gamm) |
---|
| 568 | |
---|
| 569 | ! Surface value (no ponderation) |
---|
| 570 | DO jj = 2, jpjm1 |
---|
| 571 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 572 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 573 | zhpi(ji,jj,1) = zcoef0 / e1u(ji,jj) * ( fse3w(ji+1,jj ,1) * rhd(ji+1,jj ,1) & |
---|
| 574 | & - fse3w(ji ,jj ,1) * rhd(ji ,jj ,1) ) |
---|
| 575 | zhpj(ji,jj,1) = zcoef0 / e2v(ji,jj) * ( fse3w(ji ,jj+1,1) * rhd(ji ,jj+1,1) & |
---|
| 576 | & - fse3w(ji ,jj ,1) * rhd(ji, jj ,1) ) |
---|
| 577 | ! s-coordinate pressure gradient correction |
---|
| 578 | zuap = -zcoef0 * ( rhd (ji+1,jj,1) + rhd (ji,jj,1) ) & |
---|
| 579 | & * ( fsde3w(ji+1,jj,1) - fsde3w(ji,jj,1) ) / e1u(ji,jj) |
---|
| 580 | zvap = -zcoef0 * ( rhd (ji,jj+1,1) + rhd (ji,jj,1) ) & |
---|
| 581 | & * ( fsde3w(ji,jj+1,1) - fsde3w(ji,jj,1) ) / e2v(ji,jj) |
---|
| 582 | ! add to the general momentum trend |
---|
| 583 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) + zuap |
---|
| 584 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) + zvap |
---|
| 585 | END DO |
---|
| 586 | END DO |
---|
| 587 | |
---|
| 588 | ! Interior value (2=<jk=<jpkm1) (weighted with zalph & zbeta) |
---|
| 589 | DO jk = 2, jpkm1 |
---|
| 590 | DO jj = 2, jpjm1 |
---|
| 591 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 592 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) + zcoef0 / e1u(ji,jj) & |
---|
| 593 | & * ( ( fsde3w(ji+1,jj,jk ) + fsde3w(ji,jj,jk ) & |
---|
| 594 | & - fsde3w(ji+1,jj,jk-1) - fsde3w(ji,jj,jk-1) ) & |
---|
| 595 | & * ( zalph * ( rhd (ji+1,jj,jk-1) - rhd (ji,jj,jk-1) ) & |
---|
| 596 | & + zbeta * ( rhd (ji+1,jj,jk ) - rhd (ji,jj,jk ) ) ) & |
---|
| 597 | & - ( rhd (ji+1,jj,jk ) + rhd (ji,jj,jk ) & |
---|
| 598 | & - rhd (ji+1,jj,jk-1) - rhd (ji,jj,jk-1) ) & |
---|
| 599 | & * ( zalph * ( fsde3w(ji+1,jj,jk-1) - fsde3w(ji,jj,jk-1) ) & |
---|
| 600 | & + zbeta * ( fsde3w(ji+1,jj,jk ) - fsde3w(ji,jj,jk ) ) ) ) |
---|
| 601 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) + zcoef0 / e2v(ji,jj) & |
---|
| 602 | & * ( ( fsde3w(ji,jj+1,jk ) + fsde3w(ji,jj,jk ) & |
---|
| 603 | & - fsde3w(ji,jj+1,jk-1) - fsde3w(ji,jj,jk-1) ) & |
---|
| 604 | & * ( zalph * ( rhd (ji,jj+1,jk-1) - rhd (ji,jj,jk-1) ) & |
---|
| 605 | & + zbeta * ( rhd (ji,jj+1,jk ) - rhd (ji,jj,jk ) ) ) & |
---|
| 606 | & - ( rhd (ji,jj+1,jk ) + rhd (ji,jj,jk ) & |
---|
| 607 | & - rhd (ji,jj+1,jk-1) - rhd (ji,jj,jk-1) ) & |
---|
| 608 | & * ( zalph * ( fsde3w(ji,jj+1,jk-1) - fsde3w(ji,jj,jk-1) ) & |
---|
| 609 | & + zbeta * ( fsde3w(ji,jj+1,jk ) - fsde3w(ji,jj,jk ) ) ) ) |
---|
[3] | 610 | ! add to the general momentum trend |
---|
| 611 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
---|
| 612 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
---|
[455] | 613 | END DO |
---|
[3] | 614 | END DO |
---|
| 615 | END DO |
---|
[503] | 616 | ! |
---|
[455] | 617 | END SUBROUTINE hpg_wdj |
---|
[216] | 618 | |
---|
[455] | 619 | |
---|
| 620 | SUBROUTINE hpg_djc( kt ) |
---|
| 621 | !!--------------------------------------------------------------------- |
---|
| 622 | !! *** ROUTINE hpg_djc *** |
---|
| 623 | !! |
---|
| 624 | !! ** Method : Density Jacobian with Cubic polynomial scheme |
---|
| 625 | !! |
---|
[503] | 626 | !! Reference: Shchepetkin and McWilliams, J. Geophys. Res., 108(C3), 3090, 2003 |
---|
[455] | 627 | !!---------------------------------------------------------------------- |
---|
[503] | 628 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
---|
| 629 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
---|
| 630 | !! |
---|
| 631 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 632 | !! |
---|
| 633 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 634 | REAL(wp) :: zcoef0, zep, cffw ! temporary scalars |
---|
| 635 | REAL(wp) :: z1_10, cffu, cffx ! " " |
---|
| 636 | REAL(wp) :: z1_12, cffv, cffy ! " " |
---|
| 637 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: drhox, dzx, drhou, dzu, rho_i ! 3D workspace |
---|
| 638 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: drhoy, dzy, drhov, dzv, rho_j ! " " |
---|
| 639 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: drhoz, dzz, drhow, dzw, rho_k ! " " |
---|
[455] | 640 | !!---------------------------------------------------------------------- |
---|
| 641 | |
---|
| 642 | IF( kt == nit000 ) THEN |
---|
| 643 | IF(lwp) WRITE(numout,*) |
---|
| 644 | IF(lwp) WRITE(numout,*) 'dyn:hpg_djc : hydrostatic pressure gradient trend' |
---|
| 645 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, density Jacobian with cubic polynomial scheme' |
---|
[216] | 646 | ENDIF |
---|
| 647 | |
---|
[455] | 648 | |
---|
[503] | 649 | ! Local constant initialization |
---|
[455] | 650 | zcoef0 = - grav * 0.5 |
---|
| 651 | z1_10 = 1.0 / 10.0 |
---|
| 652 | z1_12 = 1.0 / 12.0 |
---|
| 653 | |
---|
| 654 | !---------------------------------------------------------------------------------------- |
---|
| 655 | ! compute and store in provisional arrays elementary vertical and horizontal differences |
---|
| 656 | !---------------------------------------------------------------------------------------- |
---|
| 657 | |
---|
| 658 | !!bug gm Not a true bug, but... dzz=e3w for dzx, dzy verify what it is really |
---|
| 659 | |
---|
| 660 | DO jk = 2, jpkm1 |
---|
| 661 | DO jj = 2, jpjm1 |
---|
| 662 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 663 | drhoz(ji,jj,jk) = rhd (ji ,jj ,jk) - rhd (ji,jj,jk-1) |
---|
| 664 | dzz (ji,jj,jk) = fsde3w(ji ,jj ,jk) - fsde3w(ji,jj,jk-1) |
---|
| 665 | drhox(ji,jj,jk) = rhd (ji+1,jj ,jk) - rhd (ji,jj,jk ) |
---|
| 666 | dzx (ji,jj,jk) = fsde3w(ji+1,jj ,jk) - fsde3w(ji,jj,jk ) |
---|
| 667 | drhoy(ji,jj,jk) = rhd (ji ,jj+1,jk) - rhd (ji,jj,jk ) |
---|
| 668 | dzy (ji,jj,jk) = fsde3w(ji ,jj+1,jk) - fsde3w(ji,jj,jk ) |
---|
| 669 | END DO |
---|
| 670 | END DO |
---|
| 671 | END DO |
---|
| 672 | |
---|
| 673 | !------------------------------------------------------------------------- |
---|
| 674 | ! compute harmonic averages using eq. 5.18 |
---|
| 675 | !------------------------------------------------------------------------- |
---|
| 676 | zep = 1.e-15 |
---|
| 677 | |
---|
[503] | 678 | !!bug gm drhoz not defined at level 1 and used (jk-1 with jk=2) |
---|
| 679 | !!bug gm idem for drhox, drhoy et ji=jpi and jj=jpj |
---|
[455] | 680 | |
---|
| 681 | DO jk = 2, jpkm1 |
---|
| 682 | DO jj = 2, jpjm1 |
---|
| 683 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 684 | cffw = 2.0 * drhoz(ji ,jj ,jk) * drhoz(ji,jj,jk-1) |
---|
| 685 | |
---|
| 686 | cffu = 2.0 * drhox(ji+1,jj ,jk) * drhox(ji,jj,jk ) |
---|
| 687 | cffx = 2.0 * dzx (ji+1,jj ,jk) * dzx (ji,jj,jk ) |
---|
| 688 | |
---|
| 689 | cffv = 2.0 * drhoy(ji ,jj+1,jk) * drhoy(ji,jj,jk ) |
---|
| 690 | cffy = 2.0 * dzy (ji ,jj+1,jk) * dzy (ji,jj,jk ) |
---|
| 691 | |
---|
| 692 | IF( cffw > zep) THEN |
---|
| 693 | drhow(ji,jj,jk) = 2.0 * drhoz(ji,jj,jk) * drhoz(ji,jj,jk-1) & |
---|
| 694 | & / ( drhoz(ji,jj,jk) + drhoz(ji,jj,jk-1) ) |
---|
| 695 | ELSE |
---|
| 696 | drhow(ji,jj,jk) = 0.e0 |
---|
| 697 | ENDIF |
---|
| 698 | |
---|
| 699 | dzw(ji,jj,jk) = 2.0 * dzz(ji,jj,jk) * dzz(ji,jj,jk-1) & |
---|
| 700 | & / ( dzz(ji,jj,jk) + dzz(ji,jj,jk-1) ) |
---|
| 701 | |
---|
| 702 | IF( cffu > zep ) THEN |
---|
| 703 | drhou(ji,jj,jk) = 2.0 * drhox(ji+1,jj,jk) * drhox(ji,jj,jk) & |
---|
| 704 | & / ( drhox(ji+1,jj,jk) + drhox(ji,jj,jk) ) |
---|
| 705 | ELSE |
---|
| 706 | drhou(ji,jj,jk ) = 0.e0 |
---|
| 707 | ENDIF |
---|
| 708 | |
---|
| 709 | IF( cffx > zep ) THEN |
---|
| 710 | dzu(ji,jj,jk) = 2.0*dzx(ji+1,jj,jk)*dzx(ji,jj,jk) & |
---|
| 711 | & /(dzx(ji+1,jj,jk)+dzx(ji,jj,jk)) |
---|
| 712 | ELSE |
---|
| 713 | dzu(ji,jj,jk) = 0.e0 |
---|
| 714 | ENDIF |
---|
| 715 | |
---|
| 716 | IF( cffv > zep ) THEN |
---|
| 717 | drhov(ji,jj,jk) = 2.0 * drhoy(ji,jj+1,jk) * drhoy(ji,jj,jk) & |
---|
| 718 | & / ( drhoy(ji,jj+1,jk) + drhoy(ji,jj,jk) ) |
---|
| 719 | ELSE |
---|
| 720 | drhov(ji,jj,jk) = 0.e0 |
---|
| 721 | ENDIF |
---|
| 722 | |
---|
| 723 | IF( cffy > zep ) THEN |
---|
| 724 | dzv(ji,jj,jk) = 2.0 * dzy(ji,jj+1,jk) * dzy(ji,jj,jk) & |
---|
| 725 | & / ( dzy(ji,jj+1,jk) + dzy(ji,jj,jk) ) |
---|
| 726 | ELSE |
---|
| 727 | dzv(ji,jj,jk) = 0.e0 |
---|
| 728 | ENDIF |
---|
| 729 | |
---|
| 730 | END DO |
---|
| 731 | END DO |
---|
| 732 | END DO |
---|
| 733 | |
---|
| 734 | !---------------------------------------------------------------------------------- |
---|
| 735 | ! apply boundary conditions at top and bottom using 5.36-5.37 |
---|
| 736 | !---------------------------------------------------------------------------------- |
---|
| 737 | drhow(:,:, 1 ) = 1.5 * ( drhoz(:,:, 2 ) - drhoz(:,:, 1 ) ) - 0.5 * drhow(:,:, 2 ) |
---|
| 738 | drhou(:,:, 1 ) = 1.5 * ( drhox(:,:, 2 ) - drhox(:,:, 1 ) ) - 0.5 * drhou(:,:, 2 ) |
---|
| 739 | drhov(:,:, 1 ) = 1.5 * ( drhoy(:,:, 2 ) - drhoy(:,:, 1 ) ) - 0.5 * drhov(:,:, 2 ) |
---|
| 740 | |
---|
| 741 | drhow(:,:,jpk) = 1.5 * ( drhoz(:,:,jpk) - drhoz(:,:,jpkm1) ) - 0.5 * drhow(:,:,jpkm1) |
---|
| 742 | drhou(:,:,jpk) = 1.5 * ( drhox(:,:,jpk) - drhox(:,:,jpkm1) ) - 0.5 * drhou(:,:,jpkm1) |
---|
| 743 | drhov(:,:,jpk) = 1.5 * ( drhoy(:,:,jpk) - drhoy(:,:,jpkm1) ) - 0.5 * drhov(:,:,jpkm1) |
---|
| 744 | |
---|
| 745 | |
---|
| 746 | !-------------------------------------------------------------- |
---|
| 747 | ! Upper half of top-most grid box, compute and store |
---|
| 748 | !------------------------------------------------------------- |
---|
| 749 | |
---|
| 750 | !!bug gm : e3w-de3w = 0.5*e3w .... and de3w(2)-de3w(1)=e3w(2) .... to be verified |
---|
| 751 | ! true if de3w is really defined as the sum of the e3w scale factors as, it seems to me, it should be |
---|
| 752 | |
---|
| 753 | DO jj = 2, jpjm1 |
---|
| 754 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 755 | rho_k(ji,jj,1) = -grav * ( fse3w(ji,jj,1) - fsde3w(ji,jj,1) ) & |
---|
| 756 | & * ( rhd(ji,jj,1) & |
---|
| 757 | & + 0.5 * ( rhd(ji,jj,2) - rhd(ji,jj,1) ) & |
---|
| 758 | & * ( fse3w (ji,jj,1) - fsde3w(ji,jj,1) ) & |
---|
| 759 | & / ( fsde3w(ji,jj,2) - fsde3w(ji,jj,1) ) ) |
---|
| 760 | END DO |
---|
| 761 | END DO |
---|
| 762 | |
---|
| 763 | !!bug gm : here also, simplification is possible |
---|
| 764 | !!bug gm : optimisation: 1/10 and 1/12 the division should be done before the loop |
---|
| 765 | |
---|
| 766 | DO jk = 2, jpkm1 |
---|
| 767 | DO jj = 2, jpjm1 |
---|
| 768 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 769 | |
---|
| 770 | rho_k(ji,jj,jk) = zcoef0 * ( rhd (ji,jj,jk) + rhd (ji,jj,jk-1) ) & |
---|
| 771 | & * ( fsde3w(ji,jj,jk) - fsde3w(ji,jj,jk-1) ) & |
---|
| 772 | & - grav * z1_10 * ( & |
---|
| 773 | & ( drhow (ji,jj,jk) - drhow (ji,jj,jk-1) ) & |
---|
| 774 | & * ( fsde3w(ji,jj,jk) - fsde3w(ji,jj,jk-1) - z1_12 * ( dzw (ji,jj,jk) + dzw (ji,jj,jk-1) ) ) & |
---|
| 775 | & - ( dzw (ji,jj,jk) - dzw (ji,jj,jk-1) ) & |
---|
| 776 | & * ( rhd (ji,jj,jk) - rhd (ji,jj,jk-1) - z1_12 * ( drhow(ji,jj,jk) + drhow(ji,jj,jk-1) ) ) & |
---|
| 777 | & ) |
---|
| 778 | |
---|
| 779 | rho_i(ji,jj,jk) = zcoef0 * ( rhd (ji+1,jj,jk) + rhd (ji,jj,jk) ) & |
---|
| 780 | & * ( fsde3w(ji+1,jj,jk) - fsde3w(ji,jj,jk) ) & |
---|
| 781 | & - grav* z1_10 * ( & |
---|
| 782 | & ( drhou (ji+1,jj,jk) - drhou (ji,jj,jk) ) & |
---|
| 783 | & * ( fsde3w(ji+1,jj,jk) - fsde3w(ji,jj,jk) - z1_12 * ( dzu (ji+1,jj,jk) + dzu (ji,jj,jk) ) ) & |
---|
| 784 | & - ( dzu (ji+1,jj,jk) - dzu (ji,jj,jk) ) & |
---|
| 785 | & * ( rhd (ji+1,jj,jk) - rhd (ji,jj,jk) - z1_12 * ( drhou(ji+1,jj,jk) + drhou(ji,jj,jk) ) ) & |
---|
| 786 | & ) |
---|
| 787 | |
---|
| 788 | rho_j(ji,jj,jk) = zcoef0 * ( rhd (ji,jj+1,jk) + rhd (ji,jj,jk) ) & |
---|
| 789 | & * ( fsde3w(ji,jj+1,jk) - fsde3w(ji,jj,jk) ) & |
---|
| 790 | & - grav* z1_10 * ( & |
---|
| 791 | & ( drhov (ji,jj+1,jk) - drhov (ji,jj,jk) ) & |
---|
| 792 | & * ( fsde3w(ji,jj+1,jk) - fsde3w(ji,jj,jk) - z1_12 * ( dzv (ji,jj+1,jk) + dzv (ji,jj,jk) ) ) & |
---|
| 793 | & - ( dzv (ji,jj+1,jk) - dzv (ji,jj,jk) ) & |
---|
| 794 | & * ( rhd (ji,jj+1,jk) - rhd (ji,jj,jk) - z1_12 * ( drhov(ji,jj+1,jk) + drhov(ji,jj,jk) ) ) & |
---|
| 795 | & ) |
---|
| 796 | |
---|
| 797 | END DO |
---|
| 798 | END DO |
---|
| 799 | END DO |
---|
| 800 | CALL lbc_lnk(rho_k,'W',1.) |
---|
| 801 | CALL lbc_lnk(rho_i,'U',1.) |
---|
| 802 | CALL lbc_lnk(rho_j,'V',1.) |
---|
| 803 | |
---|
| 804 | |
---|
| 805 | ! --------------- |
---|
| 806 | ! Surface value |
---|
| 807 | ! --------------- |
---|
| 808 | DO jj = 2, jpjm1 |
---|
| 809 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 810 | zhpi(ji,jj,1) = ( rho_k(ji+1,jj ,1) - rho_k(ji,jj,1) - rho_i(ji,jj,1) ) / e1u(ji,jj) |
---|
| 811 | zhpj(ji,jj,1) = ( rho_k(ji ,jj+1,1) - rho_k(ji,jj,1) - rho_j(ji,jj,1) ) / e2v(ji,jj) |
---|
| 812 | ! add to the general momentum trend |
---|
| 813 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
---|
| 814 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
---|
| 815 | END DO |
---|
| 816 | END DO |
---|
| 817 | |
---|
| 818 | ! ---------------- |
---|
| 819 | ! interior value (2=<jk=<jpkm1) |
---|
| 820 | ! ---------------- |
---|
| 821 | DO jk = 2, jpkm1 |
---|
| 822 | DO jj = 2, jpjm1 |
---|
| 823 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 824 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 825 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
---|
| 826 | & + ( ( rho_k(ji+1,jj,jk) - rho_k(ji,jj,jk ) ) & |
---|
| 827 | & - ( rho_i(ji ,jj,jk) - rho_i(ji,jj,jk-1) ) ) / e1u(ji,jj) |
---|
| 828 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
---|
| 829 | & + ( ( rho_k(ji,jj+1,jk) - rho_k(ji,jj,jk ) ) & |
---|
| 830 | & -( rho_j(ji,jj ,jk) - rho_j(ji,jj,jk-1) ) ) / e2v(ji,jj) |
---|
| 831 | ! add to the general momentum trend |
---|
| 832 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
---|
| 833 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
---|
| 834 | END DO |
---|
| 835 | END DO |
---|
| 836 | END DO |
---|
[503] | 837 | ! |
---|
[455] | 838 | END SUBROUTINE hpg_djc |
---|
| 839 | |
---|
| 840 | |
---|
| 841 | SUBROUTINE hpg_rot( kt ) |
---|
| 842 | !!--------------------------------------------------------------------- |
---|
| 843 | !! *** ROUTINE hpg_rot *** |
---|
| 844 | !! |
---|
| 845 | !! ** Method : rotated axes scheme (Thiem and Berntsen 2005) |
---|
| 846 | !! |
---|
| 847 | !! Reference: Thiem & Berntsen, Ocean Modelling, In press, 2005. |
---|
| 848 | !!---------------------------------------------------------------------- |
---|
[503] | 849 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
---|
| 850 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
---|
| 851 | !! |
---|
| 852 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
| 853 | !! |
---|
| 854 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 855 | REAL(wp) :: zforg, zcoef0, zuap, zmskd1, zmskd1m ! temporary scalar |
---|
| 856 | REAL(wp) :: zfrot , zvap, zmskd2, zmskd2m ! " " |
---|
| 857 | REAL(wp), DIMENSION(jpi,jpj) :: zdistr, zsina, zcosa ! 2D workspace |
---|
| 858 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpiorg, zhpirot, zhpitra, zhpine ! 3D workspace |
---|
| 859 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpjorg, zhpjrot, zhpjtra, zhpjne ! " " |
---|
[455] | 860 | !!---------------------------------------------------------------------- |
---|
| 861 | |
---|
| 862 | IF( kt == nit000 ) THEN |
---|
| 863 | IF(lwp) WRITE(numout,*) |
---|
| 864 | IF(lwp) WRITE(numout,*) 'dyn:hpg_rot : hydrostatic pressure gradient trend' |
---|
| 865 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, rotated axes scheme used' |
---|
[3] | 866 | ENDIF |
---|
| 867 | |
---|
[455] | 868 | ! ------------------------------- |
---|
| 869 | ! Local constant initialization |
---|
| 870 | ! ------------------------------- |
---|
| 871 | zcoef0 = - grav * 0.5 |
---|
| 872 | zforg = 0.95e0 |
---|
| 873 | zfrot = 1.e0 - zforg |
---|
[3] | 874 | |
---|
[455] | 875 | ! inverse of the distance between 2 diagonal T-points (defined at F-point) (here zcoef0/distance) |
---|
| 876 | zdistr(:,:) = zcoef0 / SQRT( e1f(:,:)*e1f(:,:) + e2f(:,:)*e1f(:,:) ) |
---|
[3] | 877 | |
---|
[455] | 878 | ! sinus and cosinus of diagonal angle at F-point |
---|
| 879 | zsina(:,:) = ATAN2( e2f(:,:), e1f(:,:) ) |
---|
| 880 | zcosa(:,:) = COS( zsina(:,:) ) |
---|
| 881 | zsina(:,:) = SIN( zsina(:,:) ) |
---|
| 882 | |
---|
| 883 | ! --------------- |
---|
| 884 | ! Surface value |
---|
| 885 | ! --------------- |
---|
| 886 | ! compute and add to the general trend the pressure gradients along the axes |
---|
| 887 | DO jj = 2, jpjm1 |
---|
| 888 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 889 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 890 | zhpiorg(ji,jj,1) = zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj,1) * rhd(ji+1,jj,1) & |
---|
| 891 | & - fse3t(ji ,jj,1) * rhd(ji ,jj,1) ) |
---|
| 892 | zhpjorg(ji,jj,1) = zcoef0 / e2v(ji,jj) * ( fse3t(ji,jj+1,1) * rhd(ji,jj+1,1) & |
---|
| 893 | & - fse3t(ji,jj ,1) * rhd(ji,jj ,1) ) |
---|
| 894 | ! s-coordinate pressure gradient correction |
---|
| 895 | zuap = -zcoef0 * ( rhd (ji+1,jj ,1) + rhd (ji,jj,1) ) & |
---|
| 896 | & * ( fsdept(ji+1,jj ,1) - fsdept(ji,jj,1) ) / e1u(ji,jj) |
---|
| 897 | zvap = -zcoef0 * ( rhd (ji ,jj+1,1) + rhd (ji,jj,1) ) & |
---|
| 898 | & * ( fsdept(ji ,jj+1,1) - fsdept(ji,jj,1) ) / e2v(ji,jj) |
---|
| 899 | ! add to the general momentum trend |
---|
| 900 | ua(ji,jj,1) = ua(ji,jj,1) + zforg * ( zhpiorg(ji,jj,1) + zuap ) |
---|
| 901 | va(ji,jj,1) = va(ji,jj,1) + zforg * ( zhpjorg(ji,jj,1) + zvap ) |
---|
| 902 | END DO |
---|
| 903 | END DO |
---|
| 904 | |
---|
| 905 | ! compute the pressure gradients in the diagonal directions |
---|
| 906 | DO jj = 1, jpjm1 |
---|
| 907 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 908 | zmskd1 = tmask(ji+1,jj+1,1) * tmask(ji ,jj,1) ! mask in the 1st diagnonal |
---|
| 909 | zmskd2 = tmask(ji ,jj+1,1) * tmask(ji+1,jj,1) ! mask in the 2nd diagnonal |
---|
| 910 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 911 | zhpitra(ji,jj,1) = zdistr(ji,jj) * zmskd1 * ( fse3t(ji+1,jj+1,1) * rhd(ji+1,jj+1,1) & |
---|
| 912 | & - fse3t(ji ,jj ,1) * rhd(ji ,jj ,1) ) |
---|
| 913 | zhpjtra(ji,jj,1) = zdistr(ji,jj) * zmskd2 * ( fse3t(ji ,jj+1,1) * rhd(ji ,jj+1,1) & |
---|
| 914 | & - fse3t(ji+1,jj ,1) * rhd(ji+1,jj ,1) ) |
---|
| 915 | ! s-coordinate pressure gradient correction |
---|
| 916 | zuap = -zdistr(ji,jj) * zmskd1 * ( rhd (ji+1,jj+1,1) + rhd (ji ,jj,1) ) & |
---|
| 917 | & * ( fsdept(ji+1,jj+1,1) - fsdept(ji ,jj,1) ) |
---|
| 918 | zvap = -zdistr(ji,jj) * zmskd2 * ( rhd (ji ,jj+1,1) + rhd (ji+1,jj,1) ) & |
---|
| 919 | & * ( fsdept(ji ,jj+1,1) - fsdept(ji+1,jj,1) ) |
---|
| 920 | ! back rotation |
---|
| 921 | zhpine(ji,jj,1) = zcosa(ji,jj) * ( zhpitra(ji,jj,1) + zuap ) & |
---|
| 922 | & - zsina(ji,jj) * ( zhpjtra(ji,jj,1) + zvap ) |
---|
| 923 | zhpjne(ji,jj,1) = zsina(ji,jj) * ( zhpitra(ji,jj,1) + zuap ) & |
---|
| 924 | & + zcosa(ji,jj) * ( zhpjtra(ji,jj,1) + zvap ) |
---|
| 925 | END DO |
---|
| 926 | END DO |
---|
| 927 | |
---|
| 928 | ! interpolate and add to the general trend the diagonal gradient |
---|
| 929 | DO jj = 2, jpjm1 |
---|
| 930 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 931 | ! averaging |
---|
| 932 | zhpirot(ji,jj,1) = 0.5 * ( zhpine(ji,jj,1) + zhpine(ji ,jj-1,1) ) |
---|
| 933 | zhpjrot(ji,jj,1) = 0.5 * ( zhpjne(ji,jj,1) + zhpjne(ji-1,jj ,1) ) |
---|
| 934 | ! add to the general momentum trend |
---|
| 935 | ua(ji,jj,1) = ua(ji,jj,1) + zfrot * zhpirot(ji,jj,1) |
---|
| 936 | va(ji,jj,1) = va(ji,jj,1) + zfrot * zhpjrot(ji,jj,1) |
---|
| 937 | END DO |
---|
| 938 | END DO |
---|
| 939 | |
---|
| 940 | ! ----------------- |
---|
| 941 | ! 2. interior value (2=<jk=<jpkm1) |
---|
| 942 | ! ----------------- |
---|
| 943 | ! compute and add to the general trend the pressure gradients along the axes |
---|
| 944 | DO jk = 2, jpkm1 |
---|
| 945 | DO jj = 2, jpjm1 |
---|
| 946 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 947 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 948 | zhpiorg(ji,jj,jk) = zhpiorg(ji,jj,jk-1) & |
---|
| 949 | & + zcoef0 / e1u(ji,jj) * ( fse3t(ji+1,jj,jk ) * rhd(ji+1,jj,jk ) & |
---|
| 950 | & - fse3t(ji ,jj,jk ) * rhd(ji ,jj,jk ) & |
---|
| 951 | & + fse3t(ji+1,jj,jk-1) * rhd(ji+1,jj,jk-1) & |
---|
| 952 | & - fse3t(ji ,jj,jk-1) * rhd(ji ,jj,jk-1) ) |
---|
| 953 | zhpjorg(ji,jj,jk) = zhpjorg(ji,jj,jk-1) & |
---|
| 954 | & + zcoef0 / e2v(ji,jj) * ( fse3t(ji,jj+1,jk ) * rhd(ji,jj+1,jk ) & |
---|
| 955 | & - fse3t(ji,jj ,jk ) * rhd(ji,jj, jk ) & |
---|
| 956 | & + fse3t(ji,jj+1,jk-1) * rhd(ji,jj+1,jk-1) & |
---|
| 957 | & - fse3t(ji,jj ,jk-1) * rhd(ji,jj, jk-1) ) |
---|
| 958 | ! s-coordinate pressure gradient correction |
---|
| 959 | zuap = - zcoef0 * ( rhd (ji+1,jj ,jk) + rhd (ji,jj,jk) ) & |
---|
| 960 | & * ( fsdept(ji+1,jj ,jk) - fsdept(ji,jj,jk) ) / e1u(ji,jj) |
---|
| 961 | zvap = - zcoef0 * ( rhd (ji ,jj+1,jk) + rhd (ji,jj,jk) ) & |
---|
| 962 | & * ( fsdept(ji ,jj+1,jk) - fsdept(ji,jj,jk) ) / e2v(ji,jj) |
---|
| 963 | ! add to the general momentum trend |
---|
| 964 | ua(ji,jj,jk) = ua(ji,jj,jk) + zforg*( zhpiorg(ji,jj,jk) + zuap ) |
---|
| 965 | va(ji,jj,jk) = va(ji,jj,jk) + zforg*( zhpjorg(ji,jj,jk) + zvap ) |
---|
| 966 | END DO |
---|
| 967 | END DO |
---|
| 968 | END DO |
---|
| 969 | |
---|
| 970 | ! compute the pressure gradients in the diagonal directions |
---|
| 971 | DO jk = 2, jpkm1 |
---|
| 972 | DO jj = 1, jpjm1 |
---|
| 973 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 974 | zmskd1 = tmask(ji+1,jj+1,jk ) * tmask(ji ,jj,jk ) ! level jk mask in the 1st diagnonal |
---|
| 975 | zmskd1m = tmask(ji+1,jj+1,jk-1) * tmask(ji ,jj,jk-1) ! level jk-1 " " |
---|
| 976 | zmskd2 = tmask(ji ,jj+1,jk ) * tmask(ji+1,jj,jk ) ! level jk mask in the 2nd diagnonal |
---|
| 977 | zmskd2m = tmask(ji ,jj+1,jk-1) * tmask(ji+1,jj,jk-1) ! level jk-1 " " |
---|
| 978 | ! hydrostatic pressure gradient along s-surfaces |
---|
| 979 | zhpitra(ji,jj,jk) = zhpitra(ji,jj,jk-1) & |
---|
| 980 | & + zdistr(ji,jj) * zmskd1 * ( fse3t(ji+1,jj+1,jk ) * rhd(ji+1,jj+1,jk) & |
---|
| 981 | & -fse3t(ji ,jj ,jk ) * rhd(ji ,jj ,jk) ) & |
---|
| 982 | & + zdistr(ji,jj) * zmskd1m * ( fse3t(ji+1,jj+1,jk-1) * rhd(ji+1,jj+1,jk-1) & |
---|
| 983 | & -fse3t(ji ,jj ,jk-1) * rhd(ji ,jj ,jk-1) ) |
---|
| 984 | zhpjtra(ji,jj,jk) = zhpjtra(ji,jj,jk-1) & |
---|
| 985 | & + zdistr(ji,jj) * zmskd2 * ( fse3t(ji ,jj+1,jk ) * rhd(ji ,jj+1,jk) & |
---|
| 986 | & -fse3t(ji+1,jj ,jk ) * rhd(ji+1,jj, jk) ) & |
---|
| 987 | & + zdistr(ji,jj) * zmskd2m * ( fse3t(ji ,jj+1,jk-1) * rhd(ji ,jj+1,jk-1) & |
---|
| 988 | & -fse3t(ji+1,jj ,jk-1) * rhd(ji+1,jj, jk-1) ) |
---|
| 989 | ! s-coordinate pressure gradient correction |
---|
| 990 | zuap = - zdistr(ji,jj) * zmskd1 * ( rhd (ji+1,jj+1,jk) + rhd (ji ,jj,jk) ) & |
---|
| 991 | & * ( fsdept(ji+1,jj+1,jk) - fsdept(ji ,jj,jk) ) |
---|
| 992 | zvap = - zdistr(ji,jj) * zmskd2 * ( rhd (ji ,jj+1,jk) + rhd (ji+1,jj,jk) ) & |
---|
| 993 | & * ( fsdept(ji ,jj+1,jk) - fsdept(ji+1,jj,jk) ) |
---|
| 994 | ! back rotation |
---|
| 995 | zhpine(ji,jj,jk) = zcosa(ji,jj) * ( zhpitra(ji,jj,jk) + zuap ) & |
---|
| 996 | & - zsina(ji,jj) * ( zhpjtra(ji,jj,jk) + zvap ) |
---|
| 997 | zhpjne(ji,jj,jk) = zsina(ji,jj) * ( zhpitra(ji,jj,jk) + zuap ) & |
---|
| 998 | & + zcosa(ji,jj) * ( zhpjtra(ji,jj,jk) + zvap ) |
---|
| 999 | END DO |
---|
| 1000 | END DO |
---|
| 1001 | END DO |
---|
| 1002 | |
---|
| 1003 | ! interpolate and add to the general trend |
---|
| 1004 | DO jk = 2, jpkm1 |
---|
| 1005 | DO jj = 2, jpjm1 |
---|
| 1006 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 1007 | ! averaging |
---|
| 1008 | zhpirot(ji,jj,jk) = 0.5 * ( zhpine(ji,jj,jk) + zhpine(ji ,jj-1,jk) ) |
---|
| 1009 | zhpjrot(ji,jj,jk) = 0.5 * ( zhpjne(ji,jj,jk) + zhpjne(ji-1,jj ,jk) ) |
---|
| 1010 | ! add to the general momentum trend |
---|
| 1011 | ua(ji,jj,jk) = ua(ji,jj,jk) + zfrot * zhpirot(ji,jj,jk) |
---|
| 1012 | va(ji,jj,jk) = va(ji,jj,jk) + zfrot * zhpjrot(ji,jj,jk) |
---|
| 1013 | END DO |
---|
| 1014 | END DO |
---|
| 1015 | END DO |
---|
[503] | 1016 | ! |
---|
[455] | 1017 | END SUBROUTINE hpg_rot |
---|
| 1018 | |
---|
[3] | 1019 | !!====================================================================== |
---|
| 1020 | END MODULE dynhpg |
---|