[3] | 1 | MODULE dynldf_iso |
---|
| 2 | !!====================================================================== |
---|
| 3 | !! *** MODULE dynldf_iso *** |
---|
[5836] | 4 | !! Ocean dynamics: lateral viscosity trend (rotated laplacian operator) |
---|
[3] | 5 | !!====================================================================== |
---|
[2715] | 6 | !! History : OPA ! 97-07 (G. Madec) Original code |
---|
| 7 | !! NEMO 1.0 ! 2002-08 (G. Madec) F90: Free form and module |
---|
| 8 | !! - ! 2004-08 (C. Talandier) New trends organization |
---|
| 9 | !! 2.0 ! 2005-11 (G. Madec) s-coordinate: horizontal diffusion |
---|
[5836] | 10 | !! 3.7 ! 2014-01 (F. Lemarie, G. Madec) restructuration/simplification of ahm specification, |
---|
| 11 | !! ! add velocity dependent coefficient and optional read in file |
---|
[2715] | 12 | !!---------------------------------------------------------------------- |
---|
[5836] | 13 | |
---|
[3] | 14 | !!---------------------------------------------------------------------- |
---|
| 15 | !! dyn_ldf_iso : update the momentum trend with the horizontal part |
---|
| 16 | !! of the lateral diffusion using isopycnal or horizon- |
---|
| 17 | !! tal s-coordinate laplacian operator. |
---|
| 18 | !!---------------------------------------------------------------------- |
---|
| 19 | USE oce ! ocean dynamics and tracers |
---|
| 20 | USE dom_oce ! ocean space and time domain |
---|
[5836] | 21 | USE ldfdyn ! lateral diffusion: eddy viscosity coef. |
---|
| 22 | USE ldftra ! lateral physics: eddy diffusivity |
---|
[3] | 23 | USE zdf_oce ! ocean vertical physics |
---|
| 24 | USE ldfslp ! iso-neutral slopes |
---|
[4990] | 25 | ! |
---|
[3] | 26 | USE in_out_manager ! I/O manager |
---|
[2715] | 27 | USE lib_mpp ! MPP library |
---|
[5836] | 28 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
---|
[258] | 29 | USE prtctl ! Print control |
---|
[3] | 30 | |
---|
| 31 | IMPLICIT NONE |
---|
| 32 | PRIVATE |
---|
| 33 | |
---|
[2715] | 34 | PUBLIC dyn_ldf_iso ! called by step.F90 |
---|
| 35 | PUBLIC dyn_ldf_iso_alloc ! called by nemogcm.F90 |
---|
[3] | 36 | |
---|
[9019] | 37 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: akzu, akzv !: vertical component of rotated lateral viscosity |
---|
| 38 | |
---|
[2715] | 39 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: zfuw, zdiu, zdju, zdj1u ! 2D workspace (dyn_ldf_iso) |
---|
| 40 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: zfvw, zdiv, zdjv, zdj1v ! - - |
---|
| 41 | |
---|
[3] | 42 | !! * Substitutions |
---|
[12377] | 43 | # include "do_loop_substitute.h90" |
---|
[3] | 44 | !!---------------------------------------------------------------------- |
---|
[9598] | 45 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
---|
[1156] | 46 | !! $Id$ |
---|
[10068] | 47 | !! Software governed by the CeCILL license (see ./LICENSE) |
---|
[3] | 48 | !!---------------------------------------------------------------------- |
---|
| 49 | CONTAINS |
---|
| 50 | |
---|
[2715] | 51 | INTEGER FUNCTION dyn_ldf_iso_alloc() |
---|
| 52 | !!---------------------------------------------------------------------- |
---|
| 53 | !! *** ROUTINE dyn_ldf_iso_alloc *** |
---|
| 54 | !!---------------------------------------------------------------------- |
---|
[9019] | 55 | ALLOCATE( akzu(jpi,jpj,jpk) , zfuw(jpi,jpk) , zdiu(jpi,jpk) , zdju(jpi,jpk) , zdj1u(jpi,jpk) , & |
---|
| 56 | & akzv(jpi,jpj,jpk) , zfvw(jpi,jpk) , zdiv(jpi,jpk) , zdjv(jpi,jpk) , zdj1v(jpi,jpk) , STAT=dyn_ldf_iso_alloc ) |
---|
[2715] | 57 | ! |
---|
| 58 | IF( dyn_ldf_iso_alloc /= 0 ) CALL ctl_warn('dyn_ldf_iso_alloc: array allocate failed.') |
---|
| 59 | END FUNCTION dyn_ldf_iso_alloc |
---|
| 60 | |
---|
| 61 | |
---|
[12377] | 62 | SUBROUTINE dyn_ldf_iso( kt, Kbb, Kmm, puu, pvv, Krhs ) |
---|
[3] | 63 | !!---------------------------------------------------------------------- |
---|
| 64 | !! *** ROUTINE dyn_ldf_iso *** |
---|
| 65 | !! |
---|
[455] | 66 | !! ** Purpose : Compute the before trend of the rotated laplacian |
---|
| 67 | !! operator of lateral momentum diffusion except the diagonal |
---|
| 68 | !! vertical term that will be computed in dynzdf module. Add it |
---|
| 69 | !! to the general trend of momentum equation. |
---|
[3] | 70 | !! |
---|
| 71 | !! ** Method : |
---|
[455] | 72 | !! The momentum lateral diffusive trend is provided by a 2nd |
---|
| 73 | !! order operator rotated along neutral or geopotential surfaces |
---|
| 74 | !! (in s-coordinates). |
---|
[3] | 75 | !! It is computed using before fields (forward in time) and isopyc- |
---|
[455] | 76 | !! nal or geopotential slopes computed in routine ldfslp. |
---|
[3] | 77 | !! Here, u and v components are considered as 2 independent scalar |
---|
| 78 | !! fields. Therefore, the property of splitting divergent and rota- |
---|
| 79 | !! tional part of the flow of the standard, z-coordinate laplacian |
---|
| 80 | !! momentum diffusion is lost. |
---|
| 81 | !! horizontal fluxes associated with the rotated lateral mixing: |
---|
| 82 | !! u-component: |
---|
[12377] | 83 | !! ziut = ( ahmt + rn_ahm_b ) e2t * e3t / e1t di[ uu ] |
---|
| 84 | !! - ahmt e2t * mi-1(uslp) dk[ mi(mk(uu)) ] |
---|
| 85 | !! zjuf = ( ahmf + rn_ahm_b ) e1f * e3f / e2f dj[ uu ] |
---|
| 86 | !! - ahmf e1f * mi(vslp) dk[ mj(mk(uu)) ] |
---|
[3] | 87 | !! v-component: |
---|
[12377] | 88 | !! zivf = ( ahmf + rn_ahm_b ) e2t * e3t / e1t di[ vv ] |
---|
| 89 | !! - ahmf e2t * mj(uslp) dk[ mi(mk(vv)) ] |
---|
| 90 | !! zjvt = ( ahmt + rn_ahm_b ) e1f * e3f / e2f dj[ vv ] |
---|
| 91 | !! - ahmt e1f * mj-1(vslp) dk[ mj(mk(vv)) ] |
---|
[3] | 92 | !! take the horizontal divergence of the fluxes: |
---|
| 93 | !! diffu = 1/(e1u*e2u*e3u) { di [ ziut ] + dj-1[ zjuf ] } |
---|
| 94 | !! diffv = 1/(e1v*e2v*e3v) { di-1[ zivf ] + dj [ zjvt ] } |
---|
[12377] | 95 | !! Add this trend to the general trend (uu(rhs),vv(rhs)): |
---|
| 96 | !! uu(rhs) = uu(rhs) + diffu |
---|
[455] | 97 | !! CAUTION: here the isopycnal part is with a coeff. of aht. This |
---|
| 98 | !! should be modified for applications others than orca_r2 (!!bug) |
---|
[3] | 99 | !! |
---|
| 100 | !! ** Action : |
---|
[12377] | 101 | !! -(puu(:,:,:,Krhs),pvv(:,:,:,Krhs)) updated with the before geopotential harmonic mixing trend |
---|
[9019] | 102 | !! -(akzu,akzv) to accompt for the diagonal vertical component |
---|
| 103 | !! of the rotated operator in dynzdf module |
---|
[3] | 104 | !!---------------------------------------------------------------------- |
---|
[12377] | 105 | INTEGER , INTENT( in ) :: kt ! ocean time-step index |
---|
| 106 | INTEGER , INTENT( in ) :: Kbb, Kmm, Krhs ! ocean time level indices |
---|
| 107 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpt), INTENT(inout) :: puu, pvv ! ocean velocities and RHS of momentum equation |
---|
[2715] | 108 | ! |
---|
| 109 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
[9019] | 110 | REAL(wp) :: zabe1, zmskt, zmkt, zuav, zuwslpi, zuwslpj ! local scalars |
---|
| 111 | REAL(wp) :: zabe2, zmskf, zmkf, zvav, zvwslpi, zvwslpj ! - - |
---|
[9490] | 112 | REAL(wp) :: zcof0, zcof1, zcof2, zcof3, zcof4, zaht_0 ! - - |
---|
[9019] | 113 | REAL(wp), DIMENSION(jpi,jpj) :: ziut, zivf, zdku, zdk1u ! 2D workspace |
---|
| 114 | REAL(wp), DIMENSION(jpi,jpj) :: zjuf, zjvt, zdkv, zdk1v ! - - |
---|
[2715] | 115 | !!---------------------------------------------------------------------- |
---|
[3294] | 116 | ! |
---|
[3] | 117 | IF( kt == nit000 ) THEN |
---|
| 118 | IF(lwp) WRITE(numout,*) |
---|
| 119 | IF(lwp) WRITE(numout,*) 'dyn_ldf_iso : iso-neutral laplacian diffusive operator or ' |
---|
| 120 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate horizontal diffusive operator' |
---|
[2715] | 121 | ! ! allocate dyn_ldf_bilap arrays |
---|
| 122 | IF( dyn_ldf_iso_alloc() /= 0 ) CALL ctl_stop('STOP', 'dyn_ldf_iso: failed to allocate arrays') |
---|
[3] | 123 | ENDIF |
---|
[216] | 124 | |
---|
[5836] | 125 | !!gm bug is dyn_ldf_iso called before tra_ldf_iso .... <<<<<===== TO BE CHECKED |
---|
| 126 | ! s-coordinate: Iso-level diffusion on momentum but not on tracer |
---|
[455] | 127 | IF( ln_dynldf_hor .AND. ln_traldf_iso ) THEN |
---|
[2715] | 128 | ! |
---|
[12377] | 129 | DO_3D_00_00( 1, jpk ) |
---|
| 130 | uslp (ji,jj,jk) = - ( gdept(ji+1,jj,jk,Kbb) - gdept(ji ,jj ,jk,Kbb) ) * r1_e1u(ji,jj) * umask(ji,jj,jk) |
---|
| 131 | vslp (ji,jj,jk) = - ( gdept(ji,jj+1,jk,Kbb) - gdept(ji ,jj ,jk,Kbb) ) * r1_e2v(ji,jj) * vmask(ji,jj,jk) |
---|
| 132 | wslpi(ji,jj,jk) = - ( gdepw(ji+1,jj,jk,Kbb) - gdepw(ji-1,jj,jk,Kbb) ) * r1_e1t(ji,jj) * tmask(ji,jj,jk) * 0.5 |
---|
| 133 | wslpj(ji,jj,jk) = - ( gdepw(ji,jj+1,jk,Kbb) - gdepw(ji,jj-1,jk,Kbb) ) * r1_e2t(ji,jj) * tmask(ji,jj,jk) * 0.5 |
---|
| 134 | END_3D |
---|
[455] | 135 | ! Lateral boundary conditions on the slopes |
---|
[10425] | 136 | CALL lbc_lnk_multi( 'dynldf_iso', uslp , 'U', -1., vslp , 'V', -1., wslpi, 'W', -1., wslpj, 'W', -1. ) |
---|
[9019] | 137 | ! |
---|
| 138 | ENDIF |
---|
[9490] | 139 | |
---|
| 140 | zaht_0 = 0.5_wp * rn_Ud * rn_Ld ! aht_0 from namtra_ldf = zaht_max |
---|
| 141 | |
---|
[3] | 142 | ! ! =============== |
---|
| 143 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 144 | ! ! =============== |
---|
| 145 | |
---|
| 146 | ! Vertical u- and v-shears at level jk and jk+1 |
---|
| 147 | ! --------------------------------------------- |
---|
| 148 | ! surface boundary condition: zdku(jk=1)=zdku(jk=2) |
---|
| 149 | ! zdkv(jk=1)=zdkv(jk=2) |
---|
| 150 | |
---|
[12377] | 151 | zdk1u(:,:) = ( puu(:,:,jk,Kbb) -puu(:,:,jk+1,Kbb) ) * umask(:,:,jk+1) |
---|
| 152 | zdk1v(:,:) = ( pvv(:,:,jk,Kbb) -pvv(:,:,jk+1,Kbb) ) * vmask(:,:,jk+1) |
---|
[3] | 153 | |
---|
| 154 | IF( jk == 1 ) THEN |
---|
| 155 | zdku(:,:) = zdk1u(:,:) |
---|
| 156 | zdkv(:,:) = zdk1v(:,:) |
---|
| 157 | ELSE |
---|
[12377] | 158 | zdku(:,:) = ( puu(:,:,jk-1,Kbb) - puu(:,:,jk,Kbb) ) * umask(:,:,jk) |
---|
| 159 | zdkv(:,:) = ( pvv(:,:,jk-1,Kbb) - pvv(:,:,jk,Kbb) ) * vmask(:,:,jk) |
---|
[3] | 160 | ENDIF |
---|
| 161 | |
---|
| 162 | ! -----f----- |
---|
| 163 | ! Horizontal fluxes on U | |
---|
| 164 | ! --------------------=== t u t |
---|
| 165 | ! | |
---|
| 166 | ! i-flux at t-point -----f----- |
---|
| 167 | |
---|
[455] | 168 | IF( ln_zps ) THEN ! z-coordinate - partial steps : min(e3u) |
---|
[12377] | 169 | DO_2D_00_01 |
---|
| 170 | zabe1 = ( ahmt(ji,jj,jk)+rn_ahm_b ) * e2t(ji,jj) * MIN( e3u(ji,jj,jk,Kmm), e3u(ji-1,jj,jk,Kmm) ) * r1_e1t(ji,jj) |
---|
[3] | 171 | |
---|
[12377] | 172 | zmskt = 1._wp / MAX( umask(ji-1,jj,jk )+umask(ji,jj,jk+1) & |
---|
| 173 | & + umask(ji-1,jj,jk+1)+umask(ji,jj,jk ) , 1._wp ) |
---|
[3] | 174 | |
---|
[12377] | 175 | zcof1 = - zaht_0 * e2t(ji,jj) * zmskt * 0.5 * ( uslp(ji-1,jj,jk) + uslp(ji,jj,jk) ) |
---|
| 176 | |
---|
| 177 | ziut(ji,jj) = ( zabe1 * ( puu(ji,jj,jk,Kbb) - puu(ji-1,jj,jk,Kbb) ) & |
---|
| 178 | & + zcof1 * ( zdku (ji,jj) + zdk1u(ji-1,jj) & |
---|
| 179 | & +zdk1u(ji,jj) + zdku (ji-1,jj) ) ) * tmask(ji,jj,jk) |
---|
| 180 | END_2D |
---|
[455] | 181 | ELSE ! other coordinate system (zco or sco) : e3t |
---|
[12377] | 182 | DO_2D_00_01 |
---|
| 183 | zabe1 = ( ahmt(ji,jj,jk)+rn_ahm_b ) * e2t(ji,jj) * e3t(ji,jj,jk,Kmm) * r1_e1t(ji,jj) |
---|
[3] | 184 | |
---|
[12377] | 185 | zmskt = 1._wp / MAX( umask(ji-1,jj,jk ) + umask(ji,jj,jk+1) & |
---|
| 186 | & + umask(ji-1,jj,jk+1) + umask(ji,jj,jk ) , 1._wp ) |
---|
[455] | 187 | |
---|
[12377] | 188 | zcof1 = - zaht_0 * e2t(ji,jj) * zmskt * 0.5 * ( uslp(ji-1,jj,jk) + uslp(ji,jj,jk) ) |
---|
[455] | 189 | |
---|
[12377] | 190 | ziut(ji,jj) = ( zabe1 * ( puu(ji,jj,jk,Kbb) - puu(ji-1,jj,jk,Kbb) ) & |
---|
| 191 | & + zcof1 * ( zdku (ji,jj) + zdk1u(ji-1,jj) & |
---|
| 192 | & +zdk1u(ji,jj) + zdku (ji-1,jj) ) ) * tmask(ji,jj,jk) |
---|
| 193 | END_2D |
---|
[455] | 194 | ENDIF |
---|
[3] | 195 | |
---|
| 196 | ! j-flux at f-point |
---|
[12377] | 197 | DO_2D_10_10 |
---|
| 198 | zabe2 = ( ahmf(ji,jj,jk) + rn_ahm_b ) * e1f(ji,jj) * e3f(ji,jj,jk) * r1_e2f(ji,jj) |
---|
[3] | 199 | |
---|
[12377] | 200 | zmskf = 1._wp / MAX( umask(ji,jj+1,jk )+umask(ji,jj,jk+1) & |
---|
| 201 | & + umask(ji,jj+1,jk+1)+umask(ji,jj,jk ) , 1._wp ) |
---|
[3] | 202 | |
---|
[12377] | 203 | zcof2 = - zaht_0 * e1f(ji,jj) * zmskf * 0.5 * ( vslp(ji+1,jj,jk) + vslp(ji,jj,jk) ) |
---|
[3] | 204 | |
---|
[12377] | 205 | zjuf(ji,jj) = ( zabe2 * ( puu(ji,jj+1,jk,Kbb) - puu(ji,jj,jk,Kbb) ) & |
---|
| 206 | & + zcof2 * ( zdku (ji,jj+1) + zdk1u(ji,jj) & |
---|
| 207 | & +zdk1u(ji,jj+1) + zdku (ji,jj) ) ) * fmask(ji,jj,jk) |
---|
| 208 | END_2D |
---|
[3] | 209 | |
---|
| 210 | ! | t | |
---|
| 211 | ! Horizontal fluxes on V | | |
---|
| 212 | ! --------------------=== f---v---f |
---|
| 213 | ! | | |
---|
| 214 | ! i-flux at f-point | t | |
---|
| 215 | |
---|
[12377] | 216 | DO_2D_00_10 |
---|
| 217 | zabe1 = ( ahmf(ji,jj,jk) + rn_ahm_b ) * e2f(ji,jj) * e3f(ji,jj,jk) * r1_e1f(ji,jj) |
---|
[3] | 218 | |
---|
[12377] | 219 | zmskf = 1._wp / MAX( vmask(ji+1,jj,jk )+vmask(ji,jj,jk+1) & |
---|
| 220 | & + vmask(ji+1,jj,jk+1)+vmask(ji,jj,jk ) , 1._wp ) |
---|
[3] | 221 | |
---|
[12377] | 222 | zcof1 = - zaht_0 * e2f(ji,jj) * zmskf * 0.5 * ( uslp(ji,jj+1,jk) + uslp(ji,jj,jk) ) |
---|
[3] | 223 | |
---|
[12377] | 224 | zivf(ji,jj) = ( zabe1 * ( pvv(ji+1,jj,jk,Kbb) - pvv(ji,jj,jk,Kbb) ) & |
---|
| 225 | & + zcof1 * ( zdkv (ji,jj) + zdk1v(ji+1,jj) & |
---|
| 226 | & + zdk1v(ji,jj) + zdkv (ji+1,jj) ) ) * fmask(ji,jj,jk) |
---|
| 227 | END_2D |
---|
[3] | 228 | |
---|
| 229 | ! j-flux at t-point |
---|
[455] | 230 | IF( ln_zps ) THEN ! z-coordinate - partial steps : min(e3u) |
---|
[12377] | 231 | DO_2D_01_10 |
---|
| 232 | zabe2 = ( ahmt(ji,jj,jk)+rn_ahm_b ) * e1t(ji,jj) * MIN( e3v(ji,jj,jk,Kmm), e3v(ji,jj-1,jk,Kmm) ) * r1_e2t(ji,jj) |
---|
[3] | 233 | |
---|
[12377] | 234 | zmskt = 1._wp / MAX( vmask(ji,jj-1,jk )+vmask(ji,jj,jk+1) & |
---|
| 235 | & + vmask(ji,jj-1,jk+1)+vmask(ji,jj,jk ) , 1._wp ) |
---|
[3] | 236 | |
---|
[12377] | 237 | zcof2 = - zaht_0 * e1t(ji,jj) * zmskt * 0.5 * ( vslp(ji,jj-1,jk) + vslp(ji,jj,jk) ) |
---|
[3] | 238 | |
---|
[12377] | 239 | zjvt(ji,jj) = ( zabe2 * ( pvv(ji,jj,jk,Kbb) - pvv(ji,jj-1,jk,Kbb) ) & |
---|
| 240 | & + zcof2 * ( zdkv (ji,jj-1) + zdk1v(ji,jj) & |
---|
| 241 | & +zdk1v(ji,jj-1) + zdkv (ji,jj) ) ) * tmask(ji,jj,jk) |
---|
| 242 | END_2D |
---|
[455] | 243 | ELSE ! other coordinate system (zco or sco) : e3t |
---|
[12377] | 244 | DO_2D_01_10 |
---|
| 245 | zabe2 = ( ahmt(ji,jj,jk)+rn_ahm_b ) * e1t(ji,jj) * e3t(ji,jj,jk,Kmm) * r1_e2t(ji,jj) |
---|
[3] | 246 | |
---|
[12377] | 247 | zmskt = 1./MAX( vmask(ji,jj-1,jk )+vmask(ji,jj,jk+1) & |
---|
| 248 | & + vmask(ji,jj-1,jk+1)+vmask(ji,jj,jk ), 1. ) |
---|
[3] | 249 | |
---|
[12377] | 250 | zcof2 = - zaht_0 * e1t(ji,jj) * zmskt * 0.5 * ( vslp(ji,jj-1,jk) + vslp(ji,jj,jk) ) |
---|
[455] | 251 | |
---|
[12377] | 252 | zjvt(ji,jj) = ( zabe2 * ( pvv(ji,jj,jk,Kbb) - pvv(ji,jj-1,jk,Kbb) ) & |
---|
| 253 | & + zcof2 * ( zdkv (ji,jj-1) + zdk1v(ji,jj) & |
---|
| 254 | & +zdk1v(ji,jj-1) + zdkv (ji,jj) ) ) * tmask(ji,jj,jk) |
---|
| 255 | END_2D |
---|
[455] | 256 | ENDIF |
---|
| 257 | |
---|
| 258 | |
---|
[3] | 259 | ! Second derivative (divergence) and add to the general trend |
---|
| 260 | ! ----------------------------------------------------------- |
---|
[12377] | 261 | DO_2D_00_00 |
---|
| 262 | puu(ji,jj,jk,Krhs) = puu(ji,jj,jk,Krhs) + ( ziut(ji+1,jj) - ziut(ji,jj ) & |
---|
| 263 | & + zjuf(ji ,jj) - zjuf(ji,jj-1) ) * r1_e1e2u(ji,jj) / e3u(ji,jj,jk,Kmm) |
---|
| 264 | pvv(ji,jj,jk,Krhs) = pvv(ji,jj,jk,Krhs) + ( zivf(ji,jj ) - zivf(ji-1,jj) & |
---|
| 265 | & + zjvt(ji,jj+1) - zjvt(ji,jj ) ) * r1_e1e2v(ji,jj) / e3v(ji,jj,jk,Kmm) |
---|
| 266 | END_2D |
---|
[3] | 267 | ! ! =============== |
---|
| 268 | END DO ! End of slab |
---|
| 269 | ! ! =============== |
---|
[216] | 270 | |
---|
[455] | 271 | ! print sum trends (used for debugging) |
---|
[12377] | 272 | IF(sn_cfctl%l_prtctl) CALL prt_ctl( tab3d_1=puu(:,:,:,Krhs), clinfo1=' ldfh - Ua: ', mask1=umask, & |
---|
| 273 | & tab3d_2=pvv(:,:,:,Krhs), clinfo2= ' Va: ', mask2=vmask, clinfo3='dyn' ) |
---|
[216] | 274 | |
---|
| 275 | |
---|
[455] | 276 | ! ! =============== |
---|
| 277 | DO jj = 2, jpjm1 ! Vertical slab |
---|
| 278 | ! ! =============== |
---|
| 279 | |
---|
| 280 | |
---|
| 281 | ! I. vertical trends associated with the lateral mixing |
---|
| 282 | ! ===================================================== |
---|
| 283 | ! (excluding the vertical flux proportional to dk[t] |
---|
| 284 | |
---|
| 285 | |
---|
| 286 | ! I.1 horizontal momentum gradient |
---|
| 287 | ! -------------------------------- |
---|
| 288 | |
---|
| 289 | DO jk = 1, jpk |
---|
| 290 | DO ji = 2, jpi |
---|
| 291 | ! i-gradient of u at jj |
---|
[12377] | 292 | zdiu (ji,jk) = tmask(ji,jj ,jk) * ( puu(ji,jj ,jk,Kbb) - puu(ji-1,jj ,jk,Kbb) ) |
---|
[455] | 293 | ! j-gradient of u and v at jj |
---|
[12377] | 294 | zdju (ji,jk) = fmask(ji,jj ,jk) * ( puu(ji,jj+1,jk,Kbb) - puu(ji ,jj ,jk,Kbb) ) |
---|
| 295 | zdjv (ji,jk) = tmask(ji,jj ,jk) * ( pvv(ji,jj ,jk,Kbb) - pvv(ji ,jj-1,jk,Kbb) ) |
---|
[455] | 296 | ! j-gradient of u and v at jj+1 |
---|
[12377] | 297 | zdj1u(ji,jk) = fmask(ji,jj-1,jk) * ( puu(ji,jj ,jk,Kbb) - puu(ji ,jj-1,jk,Kbb) ) |
---|
| 298 | zdj1v(ji,jk) = tmask(ji,jj+1,jk) * ( pvv(ji,jj+1,jk,Kbb) - pvv(ji ,jj ,jk,Kbb) ) |
---|
[455] | 299 | END DO |
---|
| 300 | END DO |
---|
| 301 | DO jk = 1, jpk |
---|
| 302 | DO ji = 1, jpim1 |
---|
| 303 | ! i-gradient of v at jj |
---|
[12377] | 304 | zdiv (ji,jk) = fmask(ji,jj ,jk) * ( pvv(ji+1,jj,jk,Kbb) - pvv(ji ,jj ,jk,Kbb) ) |
---|
[455] | 305 | END DO |
---|
| 306 | END DO |
---|
| 307 | |
---|
| 308 | |
---|
| 309 | ! I.2 Vertical fluxes |
---|
| 310 | ! ------------------- |
---|
| 311 | |
---|
| 312 | ! Surface and bottom vertical fluxes set to zero |
---|
| 313 | DO ji = 1, jpi |
---|
| 314 | zfuw(ji, 1 ) = 0.e0 |
---|
| 315 | zfvw(ji, 1 ) = 0.e0 |
---|
| 316 | zfuw(ji,jpk) = 0.e0 |
---|
| 317 | zfvw(ji,jpk) = 0.e0 |
---|
| 318 | END DO |
---|
| 319 | |
---|
| 320 | ! interior (2=<jk=<jpk-1) on U field |
---|
| 321 | DO jk = 2, jpkm1 |
---|
| 322 | DO ji = 2, jpim1 |
---|
[9490] | 323 | zcof0 = 0.5_wp * zaht_0 * umask(ji,jj,jk) |
---|
[5836] | 324 | ! |
---|
[9019] | 325 | zuwslpi = zcof0 * ( wslpi(ji+1,jj,jk) + wslpi(ji,jj,jk) ) |
---|
| 326 | zuwslpj = zcof0 * ( wslpj(ji+1,jj,jk) + wslpj(ji,jj,jk) ) |
---|
[5836] | 327 | ! |
---|
[9019] | 328 | zmkt = 1./MAX( tmask(ji,jj,jk-1)+tmask(ji+1,jj,jk-1) & |
---|
| 329 | + tmask(ji,jj,jk )+tmask(ji+1,jj,jk ) , 1. ) |
---|
| 330 | zmkf = 1./MAX( fmask(ji,jj-1,jk-1) + fmask(ji,jj,jk-1) & |
---|
| 331 | + fmask(ji,jj-1,jk ) + fmask(ji,jj,jk ) , 1. ) |
---|
[455] | 332 | |
---|
[9019] | 333 | zcof3 = - e2u(ji,jj) * zmkt * zuwslpi |
---|
| 334 | zcof4 = - e1u(ji,jj) * zmkf * zuwslpj |
---|
[455] | 335 | ! vertical flux on u field |
---|
[9019] | 336 | zfuw(ji,jk) = zcof3 * ( zdiu (ji,jk-1) + zdiu (ji+1,jk-1) & |
---|
| 337 | & + zdiu (ji,jk ) + zdiu (ji+1,jk ) ) & |
---|
| 338 | & + zcof4 * ( zdj1u(ji,jk-1) + zdju (ji ,jk-1) & |
---|
| 339 | & + zdj1u(ji,jk ) + zdju (ji ,jk ) ) |
---|
| 340 | ! vertical mixing coefficient (akzu) |
---|
[9490] | 341 | ! Note: zcof0 include zaht_0, so divided by zaht_0 to obtain slp^2 * zaht_0 |
---|
| 342 | akzu(ji,jj,jk) = ( zuwslpi * zuwslpi + zuwslpj * zuwslpj ) / zaht_0 |
---|
[455] | 343 | END DO |
---|
| 344 | END DO |
---|
| 345 | |
---|
| 346 | ! interior (2=<jk=<jpk-1) on V field |
---|
| 347 | DO jk = 2, jpkm1 |
---|
| 348 | DO ji = 2, jpim1 |
---|
[9490] | 349 | zcof0 = 0.5_wp * zaht_0 * vmask(ji,jj,jk) |
---|
[9019] | 350 | ! |
---|
| 351 | zvwslpi = zcof0 * ( wslpi(ji,jj+1,jk) + wslpi(ji,jj,jk) ) |
---|
| 352 | zvwslpj = zcof0 * ( wslpj(ji,jj+1,jk) + wslpj(ji,jj,jk) ) |
---|
| 353 | ! |
---|
| 354 | zmkf = 1./MAX( fmask(ji-1,jj,jk-1)+fmask(ji,jj,jk-1) & |
---|
| 355 | & + fmask(ji-1,jj,jk )+fmask(ji,jj,jk ) , 1. ) |
---|
| 356 | zmkt = 1./MAX( tmask(ji,jj,jk-1)+tmask(ji,jj+1,jk-1) & |
---|
| 357 | & + tmask(ji,jj,jk )+tmask(ji,jj+1,jk ) , 1. ) |
---|
[455] | 358 | |
---|
[9019] | 359 | zcof3 = - e2v(ji,jj) * zmkf * zvwslpi |
---|
| 360 | zcof4 = - e1v(ji,jj) * zmkt * zvwslpj |
---|
[455] | 361 | ! vertical flux on v field |
---|
[9019] | 362 | zfvw(ji,jk) = zcof3 * ( zdiv (ji,jk-1) + zdiv (ji-1,jk-1) & |
---|
| 363 | & + zdiv (ji,jk ) + zdiv (ji-1,jk ) ) & |
---|
| 364 | & + zcof4 * ( zdjv (ji,jk-1) + zdj1v(ji ,jk-1) & |
---|
| 365 | & + zdjv (ji,jk ) + zdj1v(ji ,jk ) ) |
---|
| 366 | ! vertical mixing coefficient (akzv) |
---|
[9490] | 367 | ! Note: zcof0 include zaht_0, so divided by zaht_0 to obtain slp^2 * zaht_0 |
---|
| 368 | akzv(ji,jj,jk) = ( zvwslpi * zvwslpi + zvwslpj * zvwslpj ) / zaht_0 |
---|
[455] | 369 | END DO |
---|
| 370 | END DO |
---|
| 371 | |
---|
| 372 | |
---|
| 373 | ! I.3 Divergence of vertical fluxes added to the general tracer trend |
---|
| 374 | ! ------------------------------------------------------------------- |
---|
| 375 | DO jk = 1, jpkm1 |
---|
| 376 | DO ji = 2, jpim1 |
---|
[12377] | 377 | puu(ji,jj,jk,Krhs) = puu(ji,jj,jk,Krhs) + ( zfuw(ji,jk) - zfuw(ji,jk+1) ) * r1_e1e2u(ji,jj) / e3u(ji,jj,jk,Kmm) |
---|
| 378 | pvv(ji,jj,jk,Krhs) = pvv(ji,jj,jk,Krhs) + ( zfvw(ji,jk) - zfvw(ji,jk+1) ) * r1_e1e2v(ji,jj) / e3v(ji,jj,jk,Kmm) |
---|
[455] | 379 | END DO |
---|
| 380 | END DO |
---|
| 381 | ! ! =============== |
---|
| 382 | END DO ! End of slab |
---|
| 383 | ! ! =============== |
---|
[3] | 384 | END SUBROUTINE dyn_ldf_iso |
---|
| 385 | |
---|
| 386 | !!====================================================================== |
---|
| 387 | END MODULE dynldf_iso |
---|