[1565] | 1 | MODULE sshwzv |
---|
[3] | 2 | !!============================================================================== |
---|
[1438] | 3 | !! *** MODULE sshwzv *** |
---|
| 4 | !! Ocean dynamics : sea surface height and vertical velocity |
---|
[3] | 5 | !!============================================================================== |
---|
[1438] | 6 | !! History : 3.1 ! 2009-02 (G. Madec, M. Leclair) Original code |
---|
[3] | 7 | !!---------------------------------------------------------------------- |
---|
[1438] | 8 | |
---|
[3] | 9 | !!---------------------------------------------------------------------- |
---|
[1438] | 10 | !! ssh_wzv : after ssh & now vertical velocity |
---|
| 11 | !! ssh_nxt : filter ans swap the ssh arrays |
---|
| 12 | !!---------------------------------------------------------------------- |
---|
[3] | 13 | USE oce ! ocean dynamics and tracers variables |
---|
| 14 | USE dom_oce ! ocean space and time domain variables |
---|
[888] | 15 | USE sbc_oce ! surface boundary condition: ocean |
---|
| 16 | USE domvvl ! Variable volume |
---|
[1565] | 17 | USE divcur ! hor. divergence and curl (div & cur routines) |
---|
| 18 | USE cla_div ! cross land: hor. divergence (div_cla routine) |
---|
[1438] | 19 | USE iom ! I/O library |
---|
| 20 | USE restart ! only for lrst_oce |
---|
[3] | 21 | USE in_out_manager ! I/O manager |
---|
[258] | 22 | USE prtctl ! Print control |
---|
[592] | 23 | USE phycst |
---|
| 24 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
---|
[1241] | 25 | USE obc_par ! open boundary cond. parameter |
---|
| 26 | USE obc_oce |
---|
[1756] | 27 | USE diaar5, ONLY : lk_diaar5 |
---|
[1482] | 28 | USE iom |
---|
[592] | 29 | |
---|
[3] | 30 | IMPLICIT NONE |
---|
| 31 | PRIVATE |
---|
| 32 | |
---|
[1438] | 33 | PUBLIC ssh_wzv ! called by step.F90 |
---|
| 34 | PUBLIC ssh_nxt ! called by step.F90 |
---|
[3] | 35 | |
---|
| 36 | !! * Substitutions |
---|
| 37 | # include "domzgr_substitute.h90" |
---|
[1438] | 38 | # include "vectopt_loop_substitute.h90" |
---|
| 39 | |
---|
[3] | 40 | !!---------------------------------------------------------------------- |
---|
[1438] | 41 | !! NEMO/OPA 3.2 , LOCEAN-IPSL (2009) |
---|
[888] | 42 | !! $Id$ |
---|
[592] | 43 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
---|
| 44 | !!---------------------------------------------------------------------- |
---|
[3] | 45 | |
---|
| 46 | CONTAINS |
---|
| 47 | |
---|
[1438] | 48 | SUBROUTINE ssh_wzv( kt ) |
---|
[3] | 49 | !!---------------------------------------------------------------------- |
---|
[1438] | 50 | !! *** ROUTINE ssh_wzv *** |
---|
| 51 | !! |
---|
| 52 | !! ** Purpose : compute the after ssh (ssha), the now vertical velocity |
---|
| 53 | !! and update the now vertical coordinate (lk_vvl=T). |
---|
[3] | 54 | !! |
---|
[1438] | 55 | !! ** Method : - |
---|
[3] | 56 | !! |
---|
[1438] | 57 | !! - Using the incompressibility hypothesis, the vertical |
---|
| 58 | !! velocity is computed by integrating the horizontal divergence |
---|
| 59 | !! from the bottom to the surface minus the scale factor evolution. |
---|
| 60 | !! The boundary conditions are w=0 at the bottom (no flux) and. |
---|
[3] | 61 | !! |
---|
[1438] | 62 | !! ** action : ssha : after sea surface height |
---|
| 63 | !! wn : now vertical velocity |
---|
| 64 | !! if lk_vvl=T: sshu_a, sshv_a, sshf_a : after sea surface height |
---|
| 65 | !! at u-, v-, f-point s |
---|
| 66 | !! hu, hv, hur, hvr : ocean depth and its inverse at u-,v-points |
---|
[3] | 67 | !!---------------------------------------------------------------------- |
---|
[1756] | 68 | USE oce, ONLY : z3d => ta ! use ta as 3D workspace |
---|
| 69 | !! |
---|
[1438] | 70 | INTEGER, INTENT(in) :: kt ! time step |
---|
| 71 | !! |
---|
| 72 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 73 | REAL(wp) :: zcoefu, zcoefv, zcoeff ! temporary scalars |
---|
| 74 | REAL(wp) :: z2dt, zraur ! temporary scalars |
---|
| 75 | REAL(wp), DIMENSION(jpi,jpj) :: zhdiv ! 2D workspace |
---|
[1756] | 76 | REAL(wp), DIMENSION(jpi,jpj) :: z2d ! 2D workspace |
---|
[3] | 77 | !!---------------------------------------------------------------------- |
---|
| 78 | |
---|
| 79 | IF( kt == nit000 ) THEN |
---|
| 80 | IF(lwp) WRITE(numout,*) |
---|
[1438] | 81 | IF(lwp) WRITE(numout,*) 'ssh_wzv : after sea surface height and now vertical velocity ' |
---|
| 82 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
---|
| 83 | ! |
---|
| 84 | wn(:,:,jpk) = 0.e0 ! bottom boundary condition: w=0 (set once for all) |
---|
| 85 | ! |
---|
| 86 | IF( lk_vvl ) THEN ! before and now Sea SSH at u-, v-, f-points (vvl case only) |
---|
| 87 | DO jj = 1, jpjm1 |
---|
| 88 | DO ji = 1, jpim1 ! caution: use of Vector Opt. not possible |
---|
| 89 | zcoefu = 0.5 * umask(ji,jj,1) / ( e1u(ji,jj) * e2u(ji,jj) ) |
---|
| 90 | zcoefv = 0.5 * vmask(ji,jj,1) / ( e1v(ji,jj) * e2v(ji,jj) ) |
---|
| 91 | zcoeff = 0.25 * umask(ji,jj,1) * umask(ji,jj+1,1) |
---|
| 92 | sshu_b(ji,jj) = zcoefu * ( e1t(ji ,jj) * e2t(ji ,jj) * sshb(ji ,jj) & |
---|
| 93 | & + e1t(ji+1,jj) * e2t(ji+1,jj) * sshb(ji+1,jj) ) |
---|
| 94 | sshv_b(ji,jj) = zcoefv * ( e1t(ji,jj ) * e2t(ji,jj ) * sshb(ji,jj ) & |
---|
| 95 | & + e1t(ji,jj+1) * e2t(ji,jj+1) * sshb(ji,jj+1) ) |
---|
| 96 | sshf_b(ji,jj) = zcoeff * ( sshb(ji ,jj) + sshb(ji ,jj+1) & |
---|
| 97 | & + sshb(ji+1,jj) + sshb(ji+1,jj+1) ) |
---|
| 98 | sshu_n(ji,jj) = zcoefu * ( e1t(ji ,jj) * e2t(ji ,jj) * sshn(ji ,jj) & |
---|
| 99 | & + e1t(ji+1,jj) * e2t(ji+1,jj) * sshn(ji+1,jj) ) |
---|
| 100 | sshv_n(ji,jj) = zcoefv * ( e1t(ji,jj ) * e2t(ji,jj ) * sshn(ji,jj ) & |
---|
| 101 | & + e1t(ji,jj+1) * e2t(ji,jj+1) * sshn(ji,jj+1) ) |
---|
| 102 | sshf_n(ji,jj) = zcoeff * ( sshn(ji ,jj) + sshn(ji ,jj+1) & |
---|
| 103 | & + sshn(ji+1,jj) + sshn(ji+1,jj+1) ) |
---|
| 104 | END DO |
---|
| 105 | END DO |
---|
| 106 | CALL lbc_lnk( sshu_b, 'U', 1. ) ; CALL lbc_lnk( sshu_n, 'U', 1. ) |
---|
| 107 | CALL lbc_lnk( sshv_b, 'V', 1. ) ; CALL lbc_lnk( sshv_n, 'V', 1. ) |
---|
| 108 | CALL lbc_lnk( sshf_b, 'F', 1. ) ; CALL lbc_lnk( sshf_n, 'F', 1. ) |
---|
| 109 | ENDIF |
---|
| 110 | ! |
---|
[3] | 111 | ENDIF |
---|
| 112 | |
---|
[1565] | 113 | ! !------------------------------! |
---|
[1607] | 114 | IF( lk_vvl ) THEN ! Update Now Vertical coord. ! (only in vvl case) |
---|
[1565] | 115 | ! !------------------------------! |
---|
| 116 | DO jk = 1, jpkm1 |
---|
[1607] | 117 | fsdept(:,:,jk) = fsdept_n(:,:,jk) ! now local depths stored in fsdep. arrays |
---|
[1565] | 118 | fsdepw(:,:,jk) = fsdepw_n(:,:,jk) |
---|
| 119 | fsde3w(:,:,jk) = fsde3w_n(:,:,jk) |
---|
| 120 | ! |
---|
[1607] | 121 | fse3t (:,:,jk) = fse3t_n (:,:,jk) ! vertical scale factors stored in fse3. arrays |
---|
[1565] | 122 | fse3u (:,:,jk) = fse3u_n (:,:,jk) |
---|
| 123 | fse3v (:,:,jk) = fse3v_n (:,:,jk) |
---|
| 124 | fse3f (:,:,jk) = fse3f_n (:,:,jk) |
---|
| 125 | fse3w (:,:,jk) = fse3w_n (:,:,jk) |
---|
| 126 | fse3uw(:,:,jk) = fse3uw_n(:,:,jk) |
---|
| 127 | fse3vw(:,:,jk) = fse3vw_n(:,:,jk) |
---|
| 128 | END DO |
---|
[1607] | 129 | ! ! now ocean depth (at u- and v-points) |
---|
[1565] | 130 | hu(:,:) = hu_0(:,:) + sshu_n(:,:) |
---|
| 131 | hv(:,:) = hv_0(:,:) + sshv_n(:,:) |
---|
[1607] | 132 | ! ! now masked inverse of the ocean depth (at u- and v-points) |
---|
[1565] | 133 | hur(:,:) = umask(:,:,1) / ( hu(:,:) + 1.e0 - umask(:,:,1) ) |
---|
| 134 | hvr(:,:) = vmask(:,:,1) / ( hv(:,:) + 1.e0 - vmask(:,:,1) ) |
---|
| 135 | ! |
---|
| 136 | ENDIF |
---|
| 137 | |
---|
| 138 | CALL div_cur( kt ) ! Horizontal divergence & Relative vorticity |
---|
| 139 | IF( n_cla == 1 ) CALL div_cla( kt ) ! Cross Land Advection (Update Hor. divergence) |
---|
| 140 | |
---|
[1438] | 141 | ! set time step size (Euler/Leapfrog) |
---|
| 142 | z2dt = 2. * rdt |
---|
[1607] | 143 | IF( neuler == 0 .AND. kt == nit000 ) z2dt =rdt |
---|
[3] | 144 | |
---|
[1739] | 145 | zraur = 1. / rau0 |
---|
[592] | 146 | |
---|
[1438] | 147 | ! !------------------------------! |
---|
| 148 | ! ! After Sea Surface Height ! |
---|
| 149 | ! !------------------------------! |
---|
| 150 | zhdiv(:,:) = 0.e0 |
---|
| 151 | DO jk = 1, jpkm1 ! Horizontal divergence of barotropic transports |
---|
| 152 | zhdiv(:,:) = zhdiv(:,:) + fse3t(:,:,jk) * hdivn(:,:,jk) |
---|
| 153 | END DO |
---|
| 154 | |
---|
| 155 | ! ! Sea surface elevation time stepping |
---|
[2000] | 156 | ssha(:,:) = ( sshb(:,:) - z2dt * ( zraur * ( emp(:,:)-rnf(:,:) ) + zhdiv(:,:) ) ) * tmask(:,:,1) |
---|
[1438] | 157 | |
---|
| 158 | #if defined key_obc |
---|
| 159 | IF ( Agrif_Root() ) THEN |
---|
| 160 | ssha(:,:) = ssha(:,:) * obctmsk(:,:) |
---|
| 161 | CALL lbc_lnk( ssha, 'T', 1. ) ! absolutly compulsory !! (jmm) |
---|
| 162 | ENDIF |
---|
| 163 | #endif |
---|
| 164 | |
---|
| 165 | ! ! Sea Surface Height at u-,v- and f-points (vvl case only) |
---|
| 166 | IF( lk_vvl ) THEN ! (required only in key_vvl case) |
---|
| 167 | DO jj = 1, jpjm1 |
---|
[1694] | 168 | DO ji = 1, jpim1 ! NO Vector Opt. |
---|
[1438] | 169 | sshu_a(ji,jj) = 0.5 * umask(ji,jj,1) / ( e1u(ji ,jj) * e2u(ji ,jj) ) & |
---|
| 170 | & * ( e1t(ji ,jj) * e2t(ji ,jj) * ssha(ji ,jj) & |
---|
| 171 | & + e1t(ji+1,jj) * e2t(ji+1,jj) * ssha(ji+1,jj) ) |
---|
| 172 | sshv_a(ji,jj) = 0.5 * vmask(ji,jj,1) / ( e1v(ji,jj ) * e2v(ji,jj ) ) & |
---|
| 173 | & * ( e1t(ji,jj ) * e2t(ji,jj ) * ssha(ji,jj ) & |
---|
| 174 | & + e1t(ji,jj+1) * e2t(ji,jj+1) * ssha(ji,jj+1) ) |
---|
[1607] | 175 | sshf_a(ji,jj) = 0.25 * umask(ji,jj,1) * umask (ji,jj+1,1) & |
---|
[1438] | 176 | & * ( ssha(ji ,jj) + ssha(ji ,jj+1) & |
---|
| 177 | & + ssha(ji+1,jj) + ssha(ji+1,jj+1) ) |
---|
[592] | 178 | END DO |
---|
| 179 | END DO |
---|
[1438] | 180 | CALL lbc_lnk( sshu_a, 'U', 1. ) ! Boundaries conditions |
---|
| 181 | CALL lbc_lnk( sshv_a, 'V', 1. ) |
---|
| 182 | CALL lbc_lnk( sshf_a, 'F', 1. ) |
---|
| 183 | ENDIF |
---|
[592] | 184 | |
---|
[1438] | 185 | ! !------------------------------! |
---|
| 186 | ! ! Now Vertical Velocity ! |
---|
| 187 | ! !------------------------------! |
---|
| 188 | ! ! integrate from the bottom the hor. divergence |
---|
| 189 | DO jk = jpkm1, 1, -1 |
---|
| 190 | wn(:,:,jk) = wn(:,:,jk+1) - fse3t_n(:,:,jk) * hdivn(:,:,jk) & |
---|
| 191 | & - ( fse3t_a(:,:,jk) & |
---|
| 192 | & - fse3t_b(:,:,jk) ) * tmask(:,:,jk) / z2dt |
---|
| 193 | END DO |
---|
[1482] | 194 | ! |
---|
[1756] | 195 | CALL iom_put( "woce", wn ) ! vertical velocity |
---|
| 196 | CALL iom_put( "ssh" , sshn ) ! sea surface height |
---|
| 197 | CALL iom_put( "ssh2", sshn(:,:) * sshn(:,:) ) ! square of sea surface height |
---|
| 198 | IF( lk_diaar5 ) THEN |
---|
| 199 | z2d(:,:) = rau0 * e1t(:,:) * e2t(:,:) |
---|
| 200 | DO jk = 1, jpk |
---|
| 201 | z3d(:,:,jk) = wn(:,:,jk) * z2d(:,:) |
---|
| 202 | END DO |
---|
| 203 | CALL iom_put( "w_masstr" , z3d ) ! vertical mass transport |
---|
| 204 | CALL iom_put( "w_masstr2", z3d(:,:,:) * z3d(:,:,:) ) ! square of vertical mass transport |
---|
| 205 | ENDIF |
---|
[1438] | 206 | ! |
---|
| 207 | END SUBROUTINE ssh_wzv |
---|
[592] | 208 | |
---|
| 209 | |
---|
[1438] | 210 | SUBROUTINE ssh_nxt( kt ) |
---|
| 211 | !!---------------------------------------------------------------------- |
---|
| 212 | !! *** ROUTINE ssh_nxt *** |
---|
| 213 | !! |
---|
| 214 | !! ** Purpose : achieve the sea surface height time stepping by |
---|
| 215 | !! applying Asselin time filter and swapping the arrays |
---|
| 216 | !! ssha already computed in ssh_wzv |
---|
| 217 | !! |
---|
| 218 | !! ** Method : - apply Asselin time fiter to now ssh and swap : |
---|
| 219 | !! sshn = ssha + atfp * ( sshb -2 sshn + ssha ) |
---|
| 220 | !! sshn = ssha |
---|
| 221 | !! |
---|
| 222 | !! ** action : - sshb, sshn : before & now sea surface height |
---|
| 223 | !! ready for the next time step |
---|
| 224 | !!---------------------------------------------------------------------- |
---|
| 225 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
---|
| 226 | !! |
---|
| 227 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 228 | !!---------------------------------------------------------------------- |
---|
[592] | 229 | |
---|
[1438] | 230 | IF( kt == nit000 ) THEN |
---|
| 231 | IF(lwp) WRITE(numout,*) |
---|
| 232 | IF(lwp) WRITE(numout,*) 'ssh_nxt : next sea surface height (Asselin time filter + swap)' |
---|
| 233 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
---|
| 234 | ENDIF |
---|
[592] | 235 | |
---|
[1438] | 236 | ! Time filter and swap of the ssh |
---|
| 237 | ! ------------------------------- |
---|
[592] | 238 | |
---|
[1438] | 239 | IF( lk_vvl ) THEN ! Variable volume levels : ssh at t-, u-, v, f-points |
---|
| 240 | ! ! ---------------------- ! |
---|
| 241 | IF( neuler == 0 .AND. kt == nit000 ) THEN ! Euler time-stepping at first time-step : no filter |
---|
| 242 | sshn (:,:) = ssha (:,:) ! now <-- after (before already = now) |
---|
| 243 | sshu_n(:,:) = sshu_a(:,:) |
---|
| 244 | sshv_n(:,:) = sshv_a(:,:) |
---|
| 245 | sshf_n(:,:) = sshf_a(:,:) |
---|
| 246 | ELSE ! Leap-Frog time-stepping: Asselin filter + swap |
---|
| 247 | DO jj = 1, jpj |
---|
| 248 | DO ji = 1, jpi ! before <-- now filtered |
---|
| 249 | sshb (ji,jj) = sshn(ji,jj) + atfp * ( sshb (ji,jj) - 2 * sshn (ji,jj) + ssha (ji,jj) ) |
---|
| 250 | sshu_b(ji,jj) = sshu_n(ji,jj) + atfp * ( sshu_b(ji,jj) - 2 * sshu_n(ji,jj) + sshu_a(ji,jj) ) |
---|
| 251 | sshv_b(ji,jj) = sshv_n(ji,jj) + atfp * ( sshv_b(ji,jj) - 2 * sshv_n(ji,jj) + sshv_a(ji,jj) ) |
---|
| 252 | sshf_b(ji,jj) = sshf_n(ji,jj) + atfp * ( sshf_b(ji,jj) - 2 * sshf_n(ji,jj) + sshf_a(ji,jj) ) |
---|
| 253 | sshn (ji,jj) = ssha (ji,jj) ! now <-- after |
---|
| 254 | sshu_n(ji,jj) = sshu_a(ji,jj) |
---|
| 255 | sshv_n(ji,jj) = sshv_a(ji,jj) |
---|
| 256 | sshf_n(ji,jj) = sshf_a(ji,jj) |
---|
| 257 | END DO |
---|
| 258 | END DO |
---|
| 259 | ENDIF |
---|
| 260 | ! |
---|
| 261 | ELSE ! fixed levels : ssh at t-point only |
---|
| 262 | ! ! ------------ ! |
---|
| 263 | IF( neuler == 0 .AND. kt == nit000 ) THEN ! Euler time-stepping at first time-step : no filter |
---|
| 264 | sshn(:,:) = ssha(:,:) ! now <-- after (before already = now) |
---|
| 265 | ! |
---|
| 266 | ELSE ! Leap-Frog time-stepping: Asselin filter + swap |
---|
| 267 | DO jj = 1, jpj |
---|
| 268 | DO ji = 1, jpi ! before <-- now filtered |
---|
| 269 | sshb(ji,jj) = sshn(ji,jj) + atfp * ( sshb(ji,jj) - 2 * sshn(ji,jj) + ssha(ji,jj) ) |
---|
| 270 | sshn(ji,jj) = ssha(ji,jj) ! now <-- after |
---|
| 271 | END DO |
---|
| 272 | END DO |
---|
| 273 | ENDIF |
---|
| 274 | ! |
---|
| 275 | ENDIF |
---|
| 276 | ! |
---|
| 277 | IF(ln_ctl) CALL prt_ctl(tab2d_1=sshb , clinfo1=' sshb - : ', mask1=tmask, ovlap=1 ) |
---|
| 278 | ! |
---|
| 279 | END SUBROUTINE ssh_nxt |
---|
[3] | 280 | |
---|
| 281 | !!====================================================================== |
---|
[1565] | 282 | END MODULE sshwzv |
---|