- Timestamp:
- 2019-12-10T12:57:49+01:00 (4 years ago)
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NEMO/branches/2019/ENHANCE-02_ISF_nemo/src/ICE/icedyn_adv_pra.F90
r10425 r12143 16 16 !! adv_pra_rst : read/write Prather field in ice restart file, or initialized to zero 17 17 !!---------------------------------------------------------------------- 18 USE phycst ! physical constant 18 19 USE dom_oce ! ocean domain 19 20 USE ice ! sea-ice variables 20 21 USE sbc_oce , ONLY : nn_fsbc ! frequency of sea-ice call 22 USE icevar ! sea-ice: operations 21 23 ! 22 24 USE in_out_manager ! I/O manager … … 25 27 USE lib_fortran ! fortran utilities (glob_sum + no signed zero) 26 28 USE lbclnk ! lateral boundary conditions (or mpp links) 27 USE prtctl ! Print control28 29 29 30 IMPLICIT NONE … … 36 37 REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxice, syice, sxxice, syyice, sxyice ! ice thickness 37 38 REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxsn , sysn , sxxsn , syysn , sxysn ! snow thickness 38 REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxa , sya , sxxa , syya , sxya ! lead fraction39 REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxa , sya , sxxa , syya , sxya ! ice concentration 39 40 REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxsal, sysal, sxxsal, syysal, sxysal ! ice salinity 40 41 REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sxage, syage, sxxage, syyage, sxyage ! ice age 41 REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: sxopw, syopw, sxxopw, syyopw, sxyopw ! open water in sea ice42 42 REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:,:) :: sxc0 , syc0 , sxxc0 , syyc0 , sxyc0 ! snow layers heat content 43 43 REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:,:) :: sxe , sye , sxxe , syye , sxye ! ice layers heat content … … 81 81 REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_i ! ice heat content 82 82 ! 83 INTEGER :: jk, jl, jt ! dummy loop indices 84 INTEGER :: initad ! number of sub-timestep for the advection 85 REAL(wp) :: zcfl , zusnit ! - - 86 REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zarea 87 REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: z0opw 88 REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: z0ice, z0snw, z0ai, z0smi, z0oi 89 REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: z0ap , z0vp 90 REAL(wp), ALLOCATABLE, DIMENSION(:,:,:,:) :: z0es 91 REAL(wp), ALLOCATABLE, DIMENSION(:,:,:,:) :: z0ei 83 INTEGER :: ji,jj, jk, jl, jt ! dummy loop indices 84 INTEGER :: icycle ! number of sub-timestep for the advection 85 REAL(wp) :: zdt ! - - 86 REAL(wp), DIMENSION(1) :: zcflprv, zcflnow ! for global communication 87 REAL(wp), DIMENSION(jpi,jpj) :: zati1, zati2 88 REAL(wp), DIMENSION(jpi,jpj) :: zudy, zvdx 89 REAL(wp), DIMENSION(jpi,jpj,jpl) :: zarea 90 REAL(wp), DIMENSION(jpi,jpj,jpl) :: z0ice, z0snw, z0ai, z0smi, z0oi 91 REAL(wp), DIMENSION(jpi,jpj,jpl) :: z0ap , z0vp 92 REAL(wp), DIMENSION(jpi,jpj,nlay_s,jpl) :: z0es 93 REAL(wp), DIMENSION(jpi,jpj,nlay_i,jpl) :: z0ei 92 94 !!---------------------------------------------------------------------- 93 95 ! 94 96 IF( kt == nit000 .AND. lwp ) WRITE(numout,*) '-- ice_dyn_adv_pra: Prather advection scheme' 95 97 ! 96 ALLOCATE( zarea(jpi,jpj) , z0opw(jpi,jpj, 1 ) , z0ice(jpi,jpj,jpl) , z0snw(jpi,jpj,jpl) , & 97 & z0ai(jpi,jpj,jpl) , z0smi(jpi,jpj,jpl) , z0oi (jpi,jpj,jpl) , z0ap (jpi,jpj,jpl) , z0vp(jpi,jpj,jpl) , & 98 & z0es (jpi,jpj,nlay_s,jpl), z0ei(jpi,jpj,nlay_i,jpl) ) 99 ! 100 ! --- If ice drift field is too fast, use an appropriate time step for advection (CFL test for stability) --- ! 101 zcfl = MAXVAL( ABS( pu_ice(:,:) ) * rdt_ice * r1_e1u(:,:) ) 102 zcfl = MAX( zcfl, MAXVAL( ABS( pv_ice(:,:) ) * rdt_ice * r1_e2v(:,:) ) ) 103 CALL mpp_max( 'icedyn_adv_pra', zcfl ) 98 ! --- If ice drift is too fast, use subtime steps for advection (CFL test for stability) --- ! 99 ! Note: the advection split is applied at the next time-step in order to avoid blocking global comm. 100 ! this should not affect too much the stability 101 zcflnow(1) = MAXVAL( ABS( pu_ice(:,:) ) * rdt_ice * r1_e1u(:,:) ) 102 zcflnow(1) = MAX( zcflnow(1), MAXVAL( ABS( pv_ice(:,:) ) * rdt_ice * r1_e2v(:,:) ) ) 104 103 105 IF( zcfl > 0.5 ) THEN ; initad = 2 ; zusnit = 0.5_wp 106 ELSE ; initad = 1 ; zusnit = 1.0_wp 104 ! non-blocking global communication send zcflnow and receive zcflprv 105 CALL mpp_delay_max( 'icedyn_adv_pra', 'cflice', zcflnow(:), zcflprv(:), kt == nitend - nn_fsbc + 1 ) 106 107 IF( zcflprv(1) > .5 ) THEN ; icycle = 2 108 ELSE ; icycle = 1 107 109 ENDIF 110 zdt = rdt_ice / REAL(icycle) 108 111 109 zarea(:,:) = e1e2t(:,:) 110 !------------------------- 111 ! transported fields 112 !------------------------- 113 z0opw(:,:,1) = pato_i(:,:) * e1e2t(:,:) ! Open water area 114 DO jl = 1, jpl 115 z0snw(:,:,jl) = pv_s (:,:, jl) * e1e2t(:,:) ! Snow volume 116 z0ice(:,:,jl) = pv_i (:,:, jl) * e1e2t(:,:) ! Ice volume 117 z0ai (:,:,jl) = pa_i (:,:, jl) * e1e2t(:,:) ! Ice area 118 z0smi(:,:,jl) = psv_i(:,:, jl) * e1e2t(:,:) ! Salt content 119 z0oi (:,:,jl) = poa_i(:,:, jl) * e1e2t(:,:) ! Age content 120 DO jk = 1, nlay_s 121 z0es(:,:,jk,jl) = pe_s(:,:,jk,jl) * e1e2t(:,:) ! Snow heat content 122 END DO 123 DO jk = 1, nlay_i 124 z0ei(:,:,jk,jl) = pe_i(:,:,jk,jl) * e1e2t(:,:) ! Ice heat content 125 END DO 126 IF ( ln_pnd_H12 ) THEN 127 z0ap(:,:,jl) = pa_ip(:,:,jl) * e1e2t(:,:) ! Melt pond fraction 128 z0vp(:,:,jl) = pv_ip(:,:,jl) * e1e2t(:,:) ! Melt pond volume 112 ! --- transport --- ! 113 zudy(:,:) = pu_ice(:,:) * e2u(:,:) 114 zvdx(:,:) = pv_ice(:,:) * e1v(:,:) 115 116 DO jt = 1, icycle 117 118 ! record at_i before advection (for open water) 119 zati1(:,:) = SUM( pa_i(:,:,:), dim=3 ) 120 121 ! --- transported fields --- ! 122 DO jl = 1, jpl 123 zarea(:,:,jl) = e1e2t(:,:) 124 z0snw(:,:,jl) = pv_s (:,:,jl) * e1e2t(:,:) ! Snow volume 125 z0ice(:,:,jl) = pv_i (:,:,jl) * e1e2t(:,:) ! Ice volume 126 z0ai (:,:,jl) = pa_i (:,:,jl) * e1e2t(:,:) ! Ice area 127 z0smi(:,:,jl) = psv_i(:,:,jl) * e1e2t(:,:) ! Salt content 128 z0oi (:,:,jl) = poa_i(:,:,jl) * e1e2t(:,:) ! Age content 129 DO jk = 1, nlay_s 130 z0es(:,:,jk,jl) = pe_s(:,:,jk,jl) * e1e2t(:,:) ! Snow heat content 131 END DO 132 DO jk = 1, nlay_i 133 z0ei(:,:,jk,jl) = pe_i(:,:,jk,jl) * e1e2t(:,:) ! Ice heat content 134 END DO 135 IF ( ln_pnd_H12 ) THEN 136 z0ap(:,:,jl) = pa_ip(:,:,jl) * e1e2t(:,:) ! Melt pond fraction 137 z0vp(:,:,jl) = pv_ip(:,:,jl) * e1e2t(:,:) ! Melt pond volume 138 ENDIF 139 END DO 140 ! 141 ! !--------------------------------------------! 142 IF( MOD( (kt - 1) / nn_fsbc , 2 ) == MOD( (jt - 1) , 2 ) ) THEN !== odd ice time step: adv_x then adv_y ==! 143 ! !--------------------------------------------! 144 CALL adv_x( zdt , zudy , 1._wp , zarea , z0ice , sxice , sxxice , syice , syyice , sxyice ) !--- ice volume 145 CALL adv_y( zdt , zvdx , 0._wp , zarea , z0ice , sxice , sxxice , syice , syyice , sxyice ) 146 CALL adv_x( zdt , zudy , 1._wp , zarea , z0snw , sxsn , sxxsn , sysn , syysn , sxysn ) !--- snow volume 147 CALL adv_y( zdt , zvdx , 0._wp , zarea , z0snw , sxsn , sxxsn , sysn , syysn , sxysn ) 148 CALL adv_x( zdt , zudy , 1._wp , zarea , z0smi , sxsal , sxxsal , sysal , syysal , sxysal ) !--- ice salinity 149 CALL adv_y( zdt , zvdx , 0._wp , zarea , z0smi , sxsal , sxxsal , sysal , syysal , sxysal ) 150 CALL adv_x( zdt , zudy , 1._wp , zarea , z0ai , sxa , sxxa , sya , syya , sxya ) !--- ice concentration 151 CALL adv_y( zdt , zvdx , 0._wp , zarea , z0ai , sxa , sxxa , sya , syya , sxya ) 152 CALL adv_x( zdt , zudy , 1._wp , zarea , z0oi , sxage , sxxage , syage , syyage , sxyage ) !--- ice age 153 CALL adv_y( zdt , zvdx , 0._wp , zarea , z0oi , sxage , sxxage , syage , syyage , sxyage ) 154 ! 155 DO jk = 1, nlay_s !--- snow heat content 156 CALL adv_x( zdt, zudy, 1._wp, zarea, z0es (:,:,jk,:), sxc0(:,:,jk,:), & 157 & sxxc0(:,:,jk,:), syc0(:,:,jk,:), syyc0(:,:,jk,:), sxyc0(:,:,jk,:) ) 158 CALL adv_y( zdt, zvdx, 0._wp, zarea, z0es (:,:,jk,:), sxc0(:,:,jk,:), & 159 & sxxc0(:,:,jk,:), syc0(:,:,jk,:), syyc0(:,:,jk,:), sxyc0(:,:,jk,:) ) 160 END DO 161 DO jk = 1, nlay_i !--- ice heat content 162 CALL adv_x( zdt, zudy, 1._wp, zarea, z0ei(:,:,jk,:), sxe(:,:,jk,:), & 163 & sxxe(:,:,jk,:), sye(:,:,jk,:), syye(:,:,jk,:), sxye(:,:,jk,:) ) 164 CALL adv_y( zdt, zvdx, 0._wp, zarea, z0ei(:,:,jk,:), sxe(:,:,jk,:), & 165 & sxxe(:,:,jk,:), sye(:,:,jk,:), syye(:,:,jk,:), sxye(:,:,jk,:) ) 166 END DO 167 ! 168 IF ( ln_pnd_H12 ) THEN 169 CALL adv_x( zdt , zudy , 1._wp , zarea , z0ap , sxap , sxxap , syap , syyap , sxyap ) !--- melt pond fraction 170 CALL adv_y( zdt , zvdx , 0._wp , zarea , z0ap , sxap , sxxap , syap , syyap , sxyap ) 171 CALL adv_x( zdt , zudy , 1._wp , zarea , z0vp , sxvp , sxxvp , syvp , syyvp , sxyvp ) !--- melt pond volume 172 CALL adv_y( zdt , zvdx , 0._wp , zarea , z0vp , sxvp , sxxvp , syvp , syyvp , sxyvp ) 173 ENDIF 174 ! !--------------------------------------------! 175 ELSE !== even ice time step: adv_y then adv_x ==! 176 ! !--------------------------------------------! 177 CALL adv_y( zdt , zvdx , 1._wp , zarea , z0ice , sxice , sxxice , syice , syyice , sxyice ) !--- ice volume 178 CALL adv_x( zdt , zudy , 0._wp , zarea , z0ice , sxice , sxxice , syice , syyice , sxyice ) 179 CALL adv_y( zdt , zvdx , 1._wp , zarea , z0snw , sxsn , sxxsn , sysn , syysn , sxysn ) !--- snow volume 180 CALL adv_x( zdt , zudy , 0._wp , zarea , z0snw , sxsn , sxxsn , sysn , syysn , sxysn ) 181 CALL adv_y( zdt , zvdx , 1._wp , zarea , z0smi , sxsal , sxxsal , sysal , syysal , sxysal ) !--- ice salinity 182 CALL adv_x( zdt , zudy , 0._wp , zarea , z0smi , sxsal , sxxsal , sysal , syysal , sxysal ) 183 CALL adv_y( zdt , zvdx , 1._wp , zarea , z0ai , sxa , sxxa , sya , syya , sxya ) !--- ice concentration 184 CALL adv_x( zdt , zudy , 0._wp , zarea , z0ai , sxa , sxxa , sya , syya , sxya ) 185 CALL adv_y( zdt , zvdx , 1._wp , zarea , z0oi , sxage , sxxage , syage , syyage , sxyage ) !--- ice age 186 CALL adv_x( zdt , zudy , 0._wp , zarea , z0oi , sxage , sxxage , syage , syyage , sxyage ) 187 DO jk = 1, nlay_s !--- snow heat content 188 CALL adv_y( zdt, zvdx, 1._wp, zarea, z0es (:,:,jk,:), sxc0(:,:,jk,:), & 189 & sxxc0(:,:,jk,:), syc0(:,:,jk,:), syyc0(:,:,jk,:), sxyc0(:,:,jk,:) ) 190 CALL adv_x( zdt, zudy, 0._wp, zarea, z0es (:,:,jk,:), sxc0(:,:,jk,:), & 191 & sxxc0(:,:,jk,:), syc0(:,:,jk,:), syyc0(:,:,jk,:), sxyc0(:,:,jk,:) ) 192 END DO 193 DO jk = 1, nlay_i !--- ice heat content 194 CALL adv_y( zdt, zvdx, 1._wp, zarea, z0ei(:,:,jk,:), sxe(:,:,jk,:), & 195 & sxxe(:,:,jk,:), sye(:,:,jk,:), syye(:,:,jk,:), sxye(:,:,jk,:) ) 196 CALL adv_x( zdt, zudy, 0._wp, zarea, z0ei(:,:,jk,:), sxe(:,:,jk,:), & 197 & sxxe(:,:,jk,:), sye(:,:,jk,:), syye(:,:,jk,:), sxye(:,:,jk,:) ) 198 END DO 199 IF ( ln_pnd_H12 ) THEN 200 CALL adv_y( zdt , zvdx , 1._wp , zarea , z0ap , sxap , sxxap , syap , syyap , sxyap ) !--- melt pond fraction 201 CALL adv_x( zdt , zudy , 0._wp , zarea , z0ap , sxap , sxxap , syap , syyap , sxyap ) 202 CALL adv_y( zdt , zvdx , 1._wp , zarea , z0vp , sxvp , sxxvp , syvp , syyvp , sxyvp ) !--- melt pond volume 203 CALL adv_x( zdt , zudy , 0._wp , zarea , z0vp , sxvp , sxxvp , syvp , syyvp , sxyvp ) 204 ENDIF 205 ! 129 206 ENDIF 207 208 ! --- Recover the properties from their contents --- ! 209 DO jl = 1, jpl 210 pv_i (:,:,jl) = z0ice(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) 211 pv_s (:,:,jl) = z0snw(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) 212 psv_i(:,:,jl) = z0smi(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) 213 poa_i(:,:,jl) = z0oi (:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) 214 pa_i (:,:,jl) = z0ai (:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) 215 DO jk = 1, nlay_s 216 pe_s(:,:,jk,jl) = z0es(:,:,jk,jl) * r1_e1e2t(:,:) * tmask(:,:,1) 217 END DO 218 DO jk = 1, nlay_i 219 pe_i(:,:,jk,jl) = z0ei(:,:,jk,jl) * r1_e1e2t(:,:) * tmask(:,:,1) 220 END DO 221 IF ( ln_pnd_H12 ) THEN 222 pa_ip(:,:,jl) = z0ap(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) 223 pv_ip(:,:,jl) = z0vp(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1) 224 ENDIF 225 END DO 226 ! 227 ! derive open water from ice concentration 228 zati2(:,:) = SUM( pa_i(:,:,:), dim=3 ) 229 DO jj = 2, jpjm1 230 DO ji = fs_2, fs_jpim1 231 pato_i(ji,jj) = pato_i(ji,jj) - ( zati2(ji,jj) - zati1(ji,jj) ) & !--- open water 232 & - ( zudy(ji,jj) - zudy(ji-1,jj) + zvdx(ji,jj) - zvdx(ji,jj-1) ) * r1_e1e2t(ji,jj) * zdt 233 END DO 234 END DO 235 CALL lbc_lnk( 'icedyn_adv_pra', pato_i, 'T', 1. ) 236 ! 237 ! --- Ensure non-negative fields --- ! 238 ! Remove negative values (conservation is ensured) 239 ! (because advected fields are not perfectly bounded and tiny negative values can occur, e.g. -1.e-20) 240 CALL ice_var_zapneg( zdt, pato_i, pv_i, pv_s, psv_i, poa_i, pa_i, pa_ip, pv_ip, pe_s, pe_i ) 241 ! 242 ! --- Ensure snow load is not too big --- ! 243 CALL Hsnow( zdt, pv_i, pv_s, pa_i, pa_ip, pe_s ) 244 ! 130 245 END DO 131 132 ! !--------------------------------------------!133 IF( MOD( ( kt - 1) / nn_fsbc , 2 ) == 0 ) THEN !== odd ice time step: adv_x then adv_y ==!134 ! !--------------------------------------------!135 DO jt = 1, initad136 CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0opw (:,:,1), sxopw(:,:), & !--- ice open water area137 & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) )138 CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0opw (:,:,1), sxopw(:,:), &139 & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) )140 DO jl = 1, jpl141 CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & !--- ice volume ---142 & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) )143 CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), &144 & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) )145 CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & !--- snow volume ---146 & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) )147 CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), &148 & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) )149 CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & !--- ice salinity ---150 & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) )151 CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), &152 & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) )153 CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & !--- ice age ---154 & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) )155 CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), &156 & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) )157 CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & !--- ice concentrations ---158 & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) )159 CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), &160 & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) )161 DO jk = 1, nlay_s !--- snow heat contents ---162 CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0es (:,:,jk,jl), sxc0(:,:,jk,jl), &163 & sxxc0(:,:,jk,jl), syc0(:,:,jk,jl), syyc0(:,:,jk,jl), sxyc0(:,:,jk,jl) )164 CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0es (:,:,jk,jl), sxc0(:,:,jk,jl), &165 & sxxc0(:,:,jk,jl), syc0(:,:,jk,jl), syyc0(:,:,jk,jl), sxyc0(:,:,jk,jl) )166 END DO167 DO jk = 1, nlay_i !--- ice heat contents ---168 CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0ei(:,:,jk,jl), sxe(:,:,jk,jl), &169 & sxxe(:,:,jk,jl), sye(:,:,jk,jl), syye(:,:,jk,jl), sxye(:,:,jk,jl) )170 CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0ei(:,:,jk,jl), sxe(:,:,jk,jl), &171 & sxxe(:,:,jk,jl), sye(:,:,jk,jl), syye(:,:,jk,jl), sxye(:,:,jk,jl) )172 END DO173 IF ( ln_pnd_H12 ) THEN174 CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), & !--- melt pond fraction --175 & sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) )176 CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), &177 & sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) )178 CALL adv_x( zusnit, pu_ice, 1._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), & !--- melt pond volume --179 & sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) )180 CALL adv_y( zusnit, pv_ice, 0._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), &181 & sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) )182 ENDIF183 END DO184 END DO185 ! !--------------------------------------------!186 ELSE !== even ice time step: adv_y then adv_x ==!187 ! !--------------------------------------------!188 DO jt = 1, initad189 CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0opw (:,:,1), sxopw(:,:), & !--- ice open water area190 & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) )191 CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0opw (:,:,1), sxopw(:,:), &192 & sxxopw(:,:) , syopw(:,:), syyopw(:,:), sxyopw(:,:) )193 DO jl = 1, jpl194 CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), & !--- ice volume ---195 & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) )196 CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0ice (:,:,jl), sxice(:,:,jl), &197 & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) )198 CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), & !--- snow volume ---199 & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) )200 CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0snw (:,:,jl), sxsn (:,:,jl), &201 & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) )202 CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), & !--- ice salinity ---203 & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) )204 CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0smi (:,:,jl), sxsal(:,:,jl), &205 & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) )206 CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), & !--- ice age ---207 & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) )208 CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0oi (:,:,jl), sxage(:,:,jl), &209 & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) )210 CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), & !--- ice concentrations ---211 & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) )212 CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0ai (:,:,jl), sxa (:,:,jl), &213 & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) )214 DO jk = 1, nlay_s !--- snow heat contents ---215 CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0es (:,:,jk,jl), sxc0(:,:,jk,jl), &216 & sxxc0(:,:,jk,jl), syc0(:,:,jk,jl), syyc0(:,:,jk,jl), sxyc0(:,:,jk,jl) )217 CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0es (:,:,jk,jl), sxc0(:,:,jk,jl), &218 & sxxc0(:,:,jk,jl), syc0(:,:,jk,jl), syyc0(:,:,jk,jl), sxyc0(:,:,jk,jl) )219 END DO220 DO jk = 1, nlay_i !--- ice heat contents ---221 CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0ei(:,:,jk,jl), sxe(:,:,jk,jl), &222 & sxxe(:,:,jk,jl), sye(:,:,jk,jl), syye(:,:,jk,jl), sxye(:,:,jk,jl) )223 CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0ei(:,:,jk,jl), sxe(:,:,jk,jl), &224 & sxxe(:,:,jk,jl), sye(:,:,jk,jl), syye(:,:,jk,jl), sxye(:,:,jk,jl) )225 END DO226 IF ( ln_pnd_H12 ) THEN227 CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), & !--- melt pond fraction ---228 & sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) )229 CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0ap (:,:,jl), sxap (:,:,jl), &230 & sxxap (:,:,jl), syap (:,:,jl), syyap (:,:,jl), sxyap (:,:,jl) )231 CALL adv_y( zusnit, pv_ice, 1._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), & !--- melt pond volume ---232 & sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) )233 CALL adv_x( zusnit, pu_ice, 0._wp, zarea, z0vp (:,:,jl), sxvp (:,:,jl), &234 & sxxvp (:,:,jl), syvp (:,:,jl), syyvp (:,:,jl), sxyvp (:,:,jl) )235 ENDIF236 END DO237 END DO238 ENDIF239 240 !-------------------------------------------241 ! Recover the properties from their contents242 !-------------------------------------------243 pato_i(:,:) = z0opw(:,:,1) * r1_e1e2t(:,:) * tmask(:,:,1)244 DO jl = 1, jpl245 pv_i (:,:, jl) = z0ice(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1)246 pv_s (:,:, jl) = z0snw(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1)247 psv_i(:,:, jl) = z0smi(:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1)248 poa_i(:,:, jl) = z0oi (:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1)249 pa_i (:,:, jl) = z0ai (:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1)250 DO jk = 1, nlay_s251 pe_s(:,:,jk,jl) = z0es(:,:,jk,jl) * r1_e1e2t(:,:) * tmask(:,:,1)252 END DO253 DO jk = 1, nlay_i254 pe_i(:,:,jk,jl) = z0ei(:,:,jk,jl) * r1_e1e2t(:,:) * tmask(:,:,1)255 END DO256 IF ( ln_pnd_H12 ) THEN257 pa_ip (:,:,jl) = z0ap (:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1)258 pv_ip (:,:,jl) = z0vp (:,:,jl) * r1_e1e2t(:,:) * tmask(:,:,1)259 ENDIF260 END DO261 !262 DEALLOCATE( zarea , z0opw , z0ice, z0snw , z0ai , z0smi , z0oi , z0ap , z0vp , z0es, z0ei )263 246 ! 264 247 IF( lrst_ice ) CALL adv_pra_rst( 'WRITE', kt ) !* write Prather fields in the restart file … … 267 250 268 251 269 SUBROUTINE adv_x( pd f, put , pcrh, psm , ps0 , &252 SUBROUTINE adv_x( pdt, put , pcrh, psm , ps0 , & 270 253 & psx, psxx, psy , psyy, psxy ) 271 254 !!---------------------------------------------------------------------- … … 275 258 !! variable on x axis 276 259 !!---------------------------------------------------------------------- 277 REAL(wp) , INTENT(in ) :: pdf ! reduction factor forthe time step278 REAL(wp) 279 REAL(wp), DIMENSION( jpi,jpj), INTENT(in ) :: put ! i-direction ice velocity at U-point [m/s]280 REAL(wp), DIMENSION( jpi,jpj), INTENT(inout) :: psm ! area281 REAL(wp), DIMENSION( jpi,jpj), INTENT(inout) :: ps0 ! field to be advected282 REAL(wp), DIMENSION( jpi,jpj), INTENT(inout) :: psx , psy ! 1st moments283 REAL(wp), DIMENSION( jpi,jpj), INTENT(inout) :: psxx, psyy, psxy ! 2nd moments260 REAL(wp) , INTENT(in ) :: pdt ! the time step 261 REAL(wp) , INTENT(in ) :: pcrh ! call adv_x then adv_y (=1) or the opposite (=0) 262 REAL(wp), DIMENSION(:,:) , INTENT(in ) :: put ! i-direction ice velocity at U-point [m/s] 263 REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: psm ! area 264 REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: ps0 ! field to be advected 265 REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: psx , psy ! 1st moments 266 REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: psxx, psyy, psxy ! 2nd moments 284 267 !! 285 INTEGER :: ji, jj 286 REAL(wp) :: zs1max, z rdt, zslpmax, ztemp! local scalars268 INTEGER :: ji, jj, jl, jcat ! dummy loop indices 269 REAL(wp) :: zs1max, zslpmax, ztemp ! local scalars 287 270 REAL(wp) :: zs1new, zalf , zalfq , zbt ! - - 288 271 REAL(wp) :: zs2new, zalf1, zalf1q, zbt1 ! - - … … 291 274 REAL(wp), DIMENSION(jpi,jpj) :: zalg, zalg1, zalg1q ! - - 292 275 !----------------------------------------------------------------------- 293 294 ! Limitation of moments. 295 296 zrdt = rdt_ice * pdf ! If ice drift field is too fast, use an appropriate time step for advection. 297 298 DO jj = 1, jpj 299 DO ji = 1, jpi 300 zslpmax = MAX( 0._wp, ps0(ji,jj) ) 301 zs1max = 1.5 * zslpmax 302 zs1new = MIN( zs1max, MAX( -zs1max, psx(ji,jj) ) ) 303 zs2new = MIN( 2.0 * zslpmax - 0.3334 * ABS( zs1new ), & 304 & MAX( ABS( zs1new ) - zslpmax, psxx(ji,jj) ) ) 305 rswitch = ( 1.0 - MAX( 0._wp, SIGN( 1._wp, -zslpmax) ) ) * tmask(ji,jj,1) ! Case of empty boxes & Apply mask 306 307 ps0 (ji,jj) = zslpmax 308 psx (ji,jj) = zs1new * rswitch 309 psxx(ji,jj) = zs2new * rswitch 310 psy (ji,jj) = psy (ji,jj) * rswitch 311 psyy(ji,jj) = psyy(ji,jj) * rswitch 312 psxy(ji,jj) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj) ) ) * rswitch 313 END DO 276 ! 277 jcat = SIZE( ps0 , 3 ) ! size of input arrays 278 ! 279 DO jl = 1, jcat ! loop on categories 280 ! 281 ! Limitation of moments. 282 DO jj = 2, jpjm1 283 DO ji = 1, jpi 284 ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) 285 psm (ji,jj,jl) = MAX( pcrh * e1e2t(ji,jj) + ( 1.0 - pcrh ) * psm(ji,jj,jl) , epsi20 ) 286 ! 287 zslpmax = MAX( 0._wp, ps0(ji,jj,jl) ) 288 zs1max = 1.5 * zslpmax 289 zs1new = MIN( zs1max, MAX( -zs1max, psx(ji,jj,jl) ) ) 290 zs2new = MIN( 2.0 * zslpmax - 0.3334 * ABS( zs1new ), & 291 & MAX( ABS( zs1new ) - zslpmax, psxx(ji,jj,jl) ) ) 292 rswitch = ( 1.0 - MAX( 0._wp, SIGN( 1._wp, -zslpmax) ) ) * tmask(ji,jj,1) ! Case of empty boxes & Apply mask 293 294 ps0 (ji,jj,jl) = zslpmax 295 psx (ji,jj,jl) = zs1new * rswitch 296 psxx(ji,jj,jl) = zs2new * rswitch 297 psy (ji,jj,jl) = psy (ji,jj,jl) * rswitch 298 psyy(ji,jj,jl) = psyy(ji,jj,jl) * rswitch 299 psxy(ji,jj,jl) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj,jl) ) ) * rswitch 300 END DO 301 END DO 302 303 ! Calculate fluxes and moments between boxes i<-->i+1 304 DO jj = 2, jpjm1 ! Flux from i to i+1 WHEN u GT 0 305 DO ji = 1, jpi 306 zbet(ji,jj) = MAX( 0._wp, SIGN( 1._wp, put(ji,jj) ) ) 307 zalf = MAX( 0._wp, put(ji,jj) ) * pdt / psm(ji,jj,jl) 308 zalfq = zalf * zalf 309 zalf1 = 1.0 - zalf 310 zalf1q = zalf1 * zalf1 311 ! 312 zfm (ji,jj) = zalf * psm (ji,jj,jl) 313 zf0 (ji,jj) = zalf * ( ps0 (ji,jj,jl) + zalf1 * ( psx(ji,jj,jl) + (zalf1 - zalf) * psxx(ji,jj,jl) ) ) 314 zfx (ji,jj) = zalfq * ( psx (ji,jj,jl) + 3.0 * zalf1 * psxx(ji,jj,jl) ) 315 zfxx(ji,jj) = zalf * psxx(ji,jj,jl) * zalfq 316 zfy (ji,jj) = zalf * ( psy (ji,jj,jl) + zalf1 * psxy(ji,jj,jl) ) 317 zfxy(ji,jj) = zalfq * psxy(ji,jj,jl) 318 zfyy(ji,jj) = zalf * psyy(ji,jj,jl) 319 320 ! Readjust moments remaining in the box. 321 psm (ji,jj,jl) = psm (ji,jj,jl) - zfm(ji,jj) 322 ps0 (ji,jj,jl) = ps0 (ji,jj,jl) - zf0(ji,jj) 323 psx (ji,jj,jl) = zalf1q * ( psx(ji,jj,jl) - 3.0 * zalf * psxx(ji,jj,jl) ) 324 psxx(ji,jj,jl) = zalf1 * zalf1q * psxx(ji,jj,jl) 325 psy (ji,jj,jl) = psy (ji,jj,jl) - zfy(ji,jj) 326 psyy(ji,jj,jl) = psyy(ji,jj,jl) - zfyy(ji,jj) 327 psxy(ji,jj,jl) = zalf1q * psxy(ji,jj,jl) 328 END DO 329 END DO 330 331 DO jj = 2, jpjm1 ! Flux from i+1 to i when u LT 0. 332 DO ji = 1, fs_jpim1 333 zalf = MAX( 0._wp, -put(ji,jj) ) * pdt / psm(ji+1,jj,jl) 334 zalg (ji,jj) = zalf 335 zalfq = zalf * zalf 336 zalf1 = 1.0 - zalf 337 zalg1 (ji,jj) = zalf1 338 zalf1q = zalf1 * zalf1 339 zalg1q(ji,jj) = zalf1q 340 ! 341 zfm (ji,jj) = zfm (ji,jj) + zalf * psm (ji+1,jj,jl) 342 zf0 (ji,jj) = zf0 (ji,jj) + zalf * ( ps0 (ji+1,jj,jl) & 343 & - zalf1 * ( psx(ji+1,jj,jl) - (zalf1 - zalf ) * psxx(ji+1,jj,jl) ) ) 344 zfx (ji,jj) = zfx (ji,jj) + zalfq * ( psx (ji+1,jj,jl) - 3.0 * zalf1 * psxx(ji+1,jj,jl) ) 345 zfxx (ji,jj) = zfxx(ji,jj) + zalf * psxx(ji+1,jj,jl) * zalfq 346 zfy (ji,jj) = zfy (ji,jj) + zalf * ( psy (ji+1,jj,jl) - zalf1 * psxy(ji+1,jj,jl) ) 347 zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji+1,jj,jl) 348 zfyy (ji,jj) = zfyy(ji,jj) + zalf * psyy(ji+1,jj,jl) 349 END DO 350 END DO 351 352 DO jj = 2, jpjm1 ! Readjust moments remaining in the box. 353 DO ji = fs_2, fs_jpim1 354 zbt = zbet(ji-1,jj) 355 zbt1 = 1.0 - zbet(ji-1,jj) 356 ! 357 psm (ji,jj,jl) = zbt * psm(ji,jj,jl) + zbt1 * ( psm(ji,jj,jl) - zfm(ji-1,jj) ) 358 ps0 (ji,jj,jl) = zbt * ps0(ji,jj,jl) + zbt1 * ( ps0(ji,jj,jl) - zf0(ji-1,jj) ) 359 psx (ji,jj,jl) = zalg1q(ji-1,jj) * ( psx(ji,jj,jl) + 3.0 * zalg(ji-1,jj) * psxx(ji,jj,jl) ) 360 psxx(ji,jj,jl) = zalg1 (ji-1,jj) * zalg1q(ji-1,jj) * psxx(ji,jj,jl) 361 psy (ji,jj,jl) = zbt * psy (ji,jj,jl) + zbt1 * ( psy (ji,jj,jl) - zfy (ji-1,jj) ) 362 psyy(ji,jj,jl) = zbt * psyy(ji,jj,jl) + zbt1 * ( psyy(ji,jj,jl) - zfyy(ji-1,jj) ) 363 psxy(ji,jj,jl) = zalg1q(ji-1,jj) * psxy(ji,jj,jl) 364 END DO 365 END DO 366 367 ! Put the temporary moments into appropriate neighboring boxes. 368 DO jj = 2, jpjm1 ! Flux from i to i+1 IF u GT 0. 369 DO ji = fs_2, fs_jpim1 370 zbt = zbet(ji-1,jj) 371 zbt1 = 1.0 - zbet(ji-1,jj) 372 psm(ji,jj,jl) = zbt * ( psm(ji,jj,jl) + zfm(ji-1,jj) ) + zbt1 * psm(ji,jj,jl) 373 zalf = zbt * zfm(ji-1,jj) / psm(ji,jj,jl) 374 zalf1 = 1.0 - zalf 375 ztemp = zalf * ps0(ji,jj,jl) - zalf1 * zf0(ji-1,jj) 376 ! 377 ps0 (ji,jj,jl) = zbt * ( ps0(ji,jj,jl) + zf0(ji-1,jj) ) + zbt1 * ps0(ji,jj,jl) 378 psx (ji,jj,jl) = zbt * ( zalf * zfx(ji-1,jj) + zalf1 * psx(ji,jj,jl) + 3.0 * ztemp ) + zbt1 * psx(ji,jj,jl) 379 psxx(ji,jj,jl) = zbt * ( zalf * zalf * zfxx(ji-1,jj) + zalf1 * zalf1 * psxx(ji,jj,jl) & 380 & + 5.0 * ( zalf * zalf1 * ( psx (ji,jj,jl) - zfx(ji-1,jj) ) - ( zalf1 - zalf ) * ztemp ) ) & 381 & + zbt1 * psxx(ji,jj,jl) 382 psxy(ji,jj,jl) = zbt * ( zalf * zfxy(ji-1,jj) + zalf1 * psxy(ji,jj,jl) & 383 & + 3.0 * (- zalf1*zfy(ji-1,jj) + zalf * psy(ji,jj,jl) ) ) & 384 & + zbt1 * psxy(ji,jj,jl) 385 psy (ji,jj,jl) = zbt * ( psy (ji,jj,jl) + zfy (ji-1,jj) ) + zbt1 * psy (ji,jj,jl) 386 psyy(ji,jj,jl) = zbt * ( psyy(ji,jj,jl) + zfyy(ji-1,jj) ) + zbt1 * psyy(ji,jj,jl) 387 END DO 388 END DO 389 390 DO jj = 2, jpjm1 ! Flux from i+1 to i IF u LT 0. 391 DO ji = fs_2, fs_jpim1 392 zbt = zbet(ji,jj) 393 zbt1 = 1.0 - zbet(ji,jj) 394 psm(ji,jj,jl) = zbt * psm(ji,jj,jl) + zbt1 * ( psm(ji,jj,jl) + zfm(ji,jj) ) 395 zalf = zbt1 * zfm(ji,jj) / psm(ji,jj,jl) 396 zalf1 = 1.0 - zalf 397 ztemp = - zalf * ps0(ji,jj,jl) + zalf1 * zf0(ji,jj) 398 ! 399 ps0 (ji,jj,jl) = zbt * ps0 (ji,jj,jl) + zbt1 * ( ps0(ji,jj,jl) + zf0(ji,jj) ) 400 psx (ji,jj,jl) = zbt * psx (ji,jj,jl) + zbt1 * ( zalf * zfx(ji,jj) + zalf1 * psx(ji,jj,jl) + 3.0 * ztemp ) 401 psxx(ji,jj,jl) = zbt * psxx(ji,jj,jl) + zbt1 * ( zalf * zalf * zfxx(ji,jj) + zalf1 * zalf1 * psxx(ji,jj,jl) & 402 & + 5.0 * ( zalf * zalf1 * ( - psx(ji,jj,jl) + zfx(ji,jj) ) & 403 & + ( zalf1 - zalf ) * ztemp ) ) 404 psxy(ji,jj,jl) = zbt * psxy(ji,jj,jl) + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj,jl) & 405 & + 3.0 * ( zalf1 * zfy(ji,jj) - zalf * psy(ji,jj,jl) ) ) 406 psy (ji,jj,jl) = zbt * psy (ji,jj,jl) + zbt1 * ( psy (ji,jj,jl) + zfy (ji,jj) ) 407 psyy(ji,jj,jl) = zbt * psyy(ji,jj,jl) + zbt1 * ( psyy(ji,jj,jl) + zfyy(ji,jj) ) 408 END DO 409 END DO 410 314 411 END DO 315 412 316 ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise)317 psm (:,:) = MAX( pcrh * e1e2t(:,:) + ( 1.0 - pcrh ) * psm(:,:) , epsi20 )318 319 ! Calculate fluxes and moments between boxes i<-->i+1320 DO jj = 1, jpj ! Flux from i to i+1 WHEN u GT 0321 DO ji = 1, jpi322 zbet(ji,jj) = MAX( 0._wp, SIGN( 1._wp, put(ji,jj) ) )323 zalf = MAX( 0._wp, put(ji,jj) ) * zrdt * e2u(ji,jj) / psm(ji,jj)324 zalfq = zalf * zalf325 zalf1 = 1.0 - zalf326 zalf1q = zalf1 * zalf1327 !328 zfm (ji,jj) = zalf * psm (ji,jj)329 zf0 (ji,jj) = zalf * ( ps0 (ji,jj) + zalf1 * ( psx(ji,jj) + (zalf1 - zalf) * psxx(ji,jj) ) )330 zfx (ji,jj) = zalfq * ( psx (ji,jj) + 3.0 * zalf1 * psxx(ji,jj) )331 zfxx(ji,jj) = zalf * psxx(ji,jj) * zalfq332 zfy (ji,jj) = zalf * ( psy (ji,jj) + zalf1 * psxy(ji,jj) )333 zfxy(ji,jj) = zalfq * psxy(ji,jj)334 zfyy(ji,jj) = zalf * psyy(ji,jj)335 336 ! Readjust moments remaining in the box.337 psm (ji,jj) = psm (ji,jj) - zfm(ji,jj)338 ps0 (ji,jj) = ps0 (ji,jj) - zf0(ji,jj)339 psx (ji,jj) = zalf1q * ( psx(ji,jj) - 3.0 * zalf * psxx(ji,jj) )340 psxx(ji,jj) = zalf1 * zalf1q * psxx(ji,jj)341 psy (ji,jj) = psy (ji,jj) - zfy(ji,jj)342 psyy(ji,jj) = psyy(ji,jj) - zfyy(ji,jj)343 psxy(ji,jj) = zalf1q * psxy(ji,jj)344 END DO345 END DO346 347 DO jj = 1, jpjm1 ! Flux from i+1 to i when u LT 0.348 DO ji = 1, fs_jpim1349 zalf = MAX( 0._wp, -put(ji,jj) ) * zrdt * e2u(ji,jj) / psm(ji+1,jj)350 zalg (ji,jj) = zalf351 zalfq = zalf * zalf352 zalf1 = 1.0 - zalf353 zalg1 (ji,jj) = zalf1354 zalf1q = zalf1 * zalf1355 zalg1q(ji,jj) = zalf1q356 !357 zfm (ji,jj) = zfm (ji,jj) + zalf * psm (ji+1,jj)358 zf0 (ji,jj) = zf0 (ji,jj) + zalf * ( ps0 (ji+1,jj) - zalf1 * ( psx(ji+1,jj) - (zalf1 - zalf ) * psxx(ji+1,jj) ) )359 zfx (ji,jj) = zfx (ji,jj) + zalfq * ( psx (ji+1,jj) - 3.0 * zalf1 * psxx(ji+1,jj) )360 zfxx (ji,jj) = zfxx(ji,jj) + zalf * psxx(ji+1,jj) * zalfq361 zfy (ji,jj) = zfy (ji,jj) + zalf * ( psy (ji+1,jj) - zalf1 * psxy(ji+1,jj) )362 zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji+1,jj)363 zfyy (ji,jj) = zfyy(ji,jj) + zalf * psyy(ji+1,jj)364 END DO365 END DO366 367 DO jj = 2, jpjm1 ! Readjust moments remaining in the box.368 DO ji = fs_2, fs_jpim1369 zbt = zbet(ji-1,jj)370 zbt1 = 1.0 - zbet(ji-1,jj)371 !372 psm (ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) - zfm(ji-1,jj) )373 ps0 (ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) - zf0(ji-1,jj) )374 psx (ji,jj) = zalg1q(ji-1,jj) * ( psx(ji,jj) + 3.0 * zalg(ji-1,jj) * psxx(ji,jj) )375 psxx(ji,jj) = zalg1 (ji-1,jj) * zalg1q(ji-1,jj) * psxx(ji,jj)376 psy (ji,jj) = zbt * psy (ji,jj) + zbt1 * ( psy (ji,jj) - zfy (ji-1,jj) )377 psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( psyy(ji,jj) - zfyy(ji-1,jj) )378 psxy(ji,jj) = zalg1q(ji-1,jj) * psxy(ji,jj)379 END DO380 END DO381 382 ! Put the temporary moments into appropriate neighboring boxes.383 DO jj = 2, jpjm1 ! Flux from i to i+1 IF u GT 0.384 DO ji = fs_2, fs_jpim1385 zbt = zbet(ji-1,jj)386 zbt1 = 1.0 - zbet(ji-1,jj)387 psm(ji,jj) = zbt * ( psm(ji,jj) + zfm(ji-1,jj) ) + zbt1 * psm(ji,jj)388 zalf = zbt * zfm(ji-1,jj) / psm(ji,jj)389 zalf1 = 1.0 - zalf390 ztemp = zalf * ps0(ji,jj) - zalf1 * zf0(ji-1,jj)391 !392 ps0 (ji,jj) = zbt * ( ps0(ji,jj) + zf0(ji-1,jj) ) + zbt1 * ps0(ji,jj)393 psx (ji,jj) = zbt * ( zalf * zfx(ji-1,jj) + zalf1 * psx(ji,jj) + 3.0 * ztemp ) + zbt1 * psx(ji,jj)394 psxx(ji,jj) = zbt * ( zalf * zalf * zfxx(ji-1,jj) + zalf1 * zalf1 * psxx(ji,jj) &395 & + 5.0 * ( zalf * zalf1 * ( psx (ji,jj) - zfx(ji-1,jj) ) - ( zalf1 - zalf ) * ztemp ) ) &396 & + zbt1 * psxx(ji,jj)397 psxy(ji,jj) = zbt * ( zalf * zfxy(ji-1,jj) + zalf1 * psxy(ji,jj) &398 & + 3.0 * (- zalf1*zfy(ji-1,jj) + zalf * psy(ji,jj) ) ) &399 & + zbt1 * psxy(ji,jj)400 psy (ji,jj) = zbt * ( psy (ji,jj) + zfy (ji-1,jj) ) + zbt1 * psy (ji,jj)401 psyy(ji,jj) = zbt * ( psyy(ji,jj) + zfyy(ji-1,jj) ) + zbt1 * psyy(ji,jj)402 END DO403 END DO404 405 DO jj = 2, jpjm1 ! Flux from i+1 to i IF u LT 0.406 DO ji = fs_2, fs_jpim1407 zbt = zbet(ji,jj)408 zbt1 = 1.0 - zbet(ji,jj)409 psm(ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) + zfm(ji,jj) )410 zalf = zbt1 * zfm(ji,jj) / psm(ji,jj)411 zalf1 = 1.0 - zalf412 ztemp = - zalf * ps0(ji,jj) + zalf1 * zf0(ji,jj)413 !414 ps0(ji,jj) = zbt * ps0 (ji,jj) + zbt1 * ( ps0(ji,jj) + zf0(ji,jj) )415 psx(ji,jj) = zbt * psx (ji,jj) + zbt1 * ( zalf * zfx(ji,jj) + zalf1 * psx(ji,jj) + 3.0 * ztemp )416 psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( zalf * zalf * zfxx(ji,jj) + zalf1 * zalf1 * psxx(ji,jj) &417 & + 5.0 *( zalf * zalf1 * ( - psx(ji,jj) + zfx(ji,jj) ) &418 & + ( zalf1 - zalf ) * ztemp ) )419 psxy(ji,jj) = zbt * psxy(ji,jj) + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj) &420 & + 3.0 * ( zalf1 * zfy(ji,jj) - zalf * psy(ji,jj) ) )421 psy(ji,jj) = zbt * psy (ji,jj) + zbt1 * ( psy (ji,jj) + zfy (ji,jj) )422 psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( psyy(ji,jj) + zfyy(ji,jj) )423 END DO424 END DO425 426 413 !-- Lateral boundary conditions 427 CALL lbc_lnk_multi( 'icedyn_adv_pra', psm , 'T', 1., ps0 , 'T', 1. & 428 & , psx , 'T', -1., psy , 'T', -1. & ! caution gradient ==> the sign changes 429 & , psxx, 'T', 1., psyy, 'T', 1. & 430 & , psxy, 'T', 1. ) 431 432 IF(ln_ctl) THEN 433 CALL prt_ctl(tab2d_1=psm , clinfo1=' adv_x: psm :', tab2d_2=ps0 , clinfo2=' ps0 : ') 434 CALL prt_ctl(tab2d_1=psx , clinfo1=' adv_x: psx :', tab2d_2=psxx, clinfo2=' psxx : ') 435 CALL prt_ctl(tab2d_1=psy , clinfo1=' adv_x: psy :', tab2d_2=psyy, clinfo2=' psyy : ') 436 CALL prt_ctl(tab2d_1=psxy , clinfo1=' adv_x: psxy :') 437 ENDIF 414 CALL lbc_lnk_multi( 'icedyn_adv_pra', psm(:,:,1:jcat) , 'T', 1., ps0 , 'T', 1. & 415 & , psx , 'T', -1., psy , 'T', -1. & ! caution gradient ==> the sign changes 416 & , psxx , 'T', 1., psyy, 'T', 1. , psxy, 'T', 1. ) 438 417 ! 439 418 END SUBROUTINE adv_x 440 419 441 420 442 SUBROUTINE adv_y( pd f, pvt , pcrh, psm , ps0 , &421 SUBROUTINE adv_y( pdt, pvt , pcrh, psm , ps0 , & 443 422 & psx, psxx, psy , psyy, psxy ) 444 423 !!--------------------------------------------------------------------- … … 448 427 !! variable on y axis 449 428 !!--------------------------------------------------------------------- 450 REAL(wp) , INTENT(in ) :: pdf ! reduction factor for thetime step451 REAL(wp) 452 REAL(wp), DIMENSION( jpi,jpj), INTENT(in ) :: pvt ! j-direction ice velocity at V-point [m/s]453 REAL(wp), DIMENSION( jpi,jpj), INTENT(inout) :: psm ! area454 REAL(wp), DIMENSION( jpi,jpj), INTENT(inout) :: ps0 ! field to be advected455 REAL(wp), DIMENSION( jpi,jpj), INTENT(inout) :: psx , psy ! 1st moments456 REAL(wp), DIMENSION( jpi,jpj), INTENT(inout) :: psxx, psyy, psxy ! 2nd moments429 REAL(wp) , INTENT(in ) :: pdt ! time step 430 REAL(wp) , INTENT(in ) :: pcrh ! call adv_x then adv_y (=1) or the opposite (=0) 431 REAL(wp), DIMENSION(:,:) , INTENT(in ) :: pvt ! j-direction ice velocity at V-point [m/s] 432 REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: psm ! area 433 REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: ps0 ! field to be advected 434 REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: psx , psy ! 1st moments 435 REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: psxx, psyy, psxy ! 2nd moments 457 436 !! 458 INTEGER :: ji, jj 459 REAL(wp) :: zs1max, z rdt, zslpmax, ztemp! temporary scalars437 INTEGER :: ji, jj, jl, jcat ! dummy loop indices 438 REAL(wp) :: zs1max, zslpmax, ztemp ! temporary scalars 460 439 REAL(wp) :: zs1new, zalf , zalfq , zbt ! - - 461 440 REAL(wp) :: zs2new, zalf1, zalf1q, zbt1 ! - - … … 464 443 REAL(wp), DIMENSION(jpi,jpj) :: zalg, zalg1, zalg1q ! - - 465 444 !--------------------------------------------------------------------- 466 467 ! Limitation of moments. 468 469 zrdt = rdt_ice * pdf ! If ice drift field is too fast, use an appropriate time step for advection. 470 471 DO jj = 1, jpj 472 DO ji = 1, jpi 473 zslpmax = MAX( 0._wp, ps0(ji,jj) ) 474 zs1max = 1.5 * zslpmax 475 zs1new = MIN( zs1max, MAX( -zs1max, psy(ji,jj) ) ) 476 zs2new = MIN( ( 2.0 * zslpmax - 0.3334 * ABS( zs1new ) ), & 477 & MAX( ABS( zs1new )-zslpmax, psyy(ji,jj) ) ) 478 rswitch = ( 1.0 - MAX( 0._wp, SIGN( 1._wp, -zslpmax) ) ) * tmask(ji,jj,1) ! Case of empty boxes & Apply mask 479 ! 480 ps0 (ji,jj) = zslpmax 481 psx (ji,jj) = psx (ji,jj) * rswitch 482 psxx(ji,jj) = psxx(ji,jj) * rswitch 483 psy (ji,jj) = zs1new * rswitch 484 psyy(ji,jj) = zs2new * rswitch 485 psxy(ji,jj) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj) ) ) * rswitch 486 END DO 445 ! 446 jcat = SIZE( ps0 , 3 ) ! size of input arrays 447 ! 448 DO jl = 1, jcat ! loop on categories 449 ! 450 ! Limitation of moments. 451 DO jj = 1, jpj 452 DO ji = fs_2, fs_jpim1 453 ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) 454 psm(ji,jj,jl) = MAX( pcrh * e1e2t(ji,jj) + ( 1.0 - pcrh ) * psm(ji,jj,jl) , epsi20 ) 455 ! 456 zslpmax = MAX( 0._wp, ps0(ji,jj,jl) ) 457 zs1max = 1.5 * zslpmax 458 zs1new = MIN( zs1max, MAX( -zs1max, psy(ji,jj,jl) ) ) 459 zs2new = MIN( ( 2.0 * zslpmax - 0.3334 * ABS( zs1new ) ), & 460 & MAX( ABS( zs1new )-zslpmax, psyy(ji,jj,jl) ) ) 461 rswitch = ( 1.0 - MAX( 0._wp, SIGN( 1._wp, -zslpmax) ) ) * tmask(ji,jj,1) ! Case of empty boxes & Apply mask 462 ! 463 ps0 (ji,jj,jl) = zslpmax 464 psx (ji,jj,jl) = psx (ji,jj,jl) * rswitch 465 psxx(ji,jj,jl) = psxx(ji,jj,jl) * rswitch 466 psy (ji,jj,jl) = zs1new * rswitch 467 psyy(ji,jj,jl) = zs2new * rswitch 468 psxy(ji,jj,jl) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj,jl) ) ) * rswitch 469 END DO 470 END DO 471 472 ! Calculate fluxes and moments between boxes j<-->j+1 473 DO jj = 1, jpj ! Flux from j to j+1 WHEN v GT 0 474 DO ji = fs_2, fs_jpim1 475 zbet(ji,jj) = MAX( 0._wp, SIGN( 1._wp, pvt(ji,jj) ) ) 476 zalf = MAX( 0._wp, pvt(ji,jj) ) * pdt / psm(ji,jj,jl) 477 zalfq = zalf * zalf 478 zalf1 = 1.0 - zalf 479 zalf1q = zalf1 * zalf1 480 ! 481 zfm (ji,jj) = zalf * psm(ji,jj,jl) 482 zf0 (ji,jj) = zalf * ( ps0(ji,jj,jl) + zalf1 * ( psy(ji,jj,jl) + (zalf1-zalf) * psyy(ji,jj,jl) ) ) 483 zfy (ji,jj) = zalfq *( psy(ji,jj,jl) + 3.0*zalf1*psyy(ji,jj,jl) ) 484 zfyy(ji,jj) = zalf * zalfq * psyy(ji,jj,jl) 485 zfx (ji,jj) = zalf * ( psx(ji,jj,jl) + zalf1 * psxy(ji,jj,jl) ) 486 zfxy(ji,jj) = zalfq * psxy(ji,jj,jl) 487 zfxx(ji,jj) = zalf * psxx(ji,jj,jl) 488 ! 489 ! Readjust moments remaining in the box. 490 psm (ji,jj,jl) = psm (ji,jj,jl) - zfm(ji,jj) 491 ps0 (ji,jj,jl) = ps0 (ji,jj,jl) - zf0(ji,jj) 492 psy (ji,jj,jl) = zalf1q * ( psy(ji,jj,jl) -3.0 * zalf * psyy(ji,jj,jl) ) 493 psyy(ji,jj,jl) = zalf1 * zalf1q * psyy(ji,jj,jl) 494 psx (ji,jj,jl) = psx (ji,jj,jl) - zfx(ji,jj) 495 psxx(ji,jj,jl) = psxx(ji,jj,jl) - zfxx(ji,jj) 496 psxy(ji,jj,jl) = zalf1q * psxy(ji,jj,jl) 497 END DO 498 END DO 499 ! 500 DO jj = 1, jpjm1 ! Flux from j+1 to j when v LT 0. 501 DO ji = fs_2, fs_jpim1 502 zalf = MAX( 0._wp, -pvt(ji,jj) ) * pdt / psm(ji,jj+1,jl) 503 zalg (ji,jj) = zalf 504 zalfq = zalf * zalf 505 zalf1 = 1.0 - zalf 506 zalg1 (ji,jj) = zalf1 507 zalf1q = zalf1 * zalf1 508 zalg1q(ji,jj) = zalf1q 509 ! 510 zfm (ji,jj) = zfm (ji,jj) + zalf * psm (ji,jj+1,jl) 511 zf0 (ji,jj) = zf0 (ji,jj) + zalf * ( ps0 (ji,jj+1,jl) & 512 & - zalf1 * (psy(ji,jj+1,jl) - (zalf1 - zalf ) * psyy(ji,jj+1,jl) ) ) 513 zfy (ji,jj) = zfy (ji,jj) + zalfq * ( psy (ji,jj+1,jl) - 3.0 * zalf1 * psyy(ji,jj+1,jl) ) 514 zfyy (ji,jj) = zfyy(ji,jj) + zalf * psyy(ji,jj+1,jl) * zalfq 515 zfx (ji,jj) = zfx (ji,jj) + zalf * ( psx (ji,jj+1,jl) - zalf1 * psxy(ji,jj+1,jl) ) 516 zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji,jj+1,jl) 517 zfxx (ji,jj) = zfxx(ji,jj) + zalf * psxx(ji,jj+1,jl) 518 END DO 519 END DO 520 521 ! Readjust moments remaining in the box. 522 DO jj = 2, jpjm1 523 DO ji = fs_2, fs_jpim1 524 zbt = zbet(ji,jj-1) 525 zbt1 = ( 1.0 - zbet(ji,jj-1) ) 526 ! 527 psm (ji,jj,jl) = zbt * psm(ji,jj,jl) + zbt1 * ( psm(ji,jj,jl) - zfm(ji,jj-1) ) 528 ps0 (ji,jj,jl) = zbt * ps0(ji,jj,jl) + zbt1 * ( ps0(ji,jj,jl) - zf0(ji,jj-1) ) 529 psy (ji,jj,jl) = zalg1q(ji,jj-1) * ( psy(ji,jj,jl) + 3.0 * zalg(ji,jj-1) * psyy(ji,jj,jl) ) 530 psyy(ji,jj,jl) = zalg1 (ji,jj-1) * zalg1q(ji,jj-1) * psyy(ji,jj,jl) 531 psx (ji,jj,jl) = zbt * psx (ji,jj,jl) + zbt1 * ( psx (ji,jj,jl) - zfx (ji,jj-1) ) 532 psxx(ji,jj,jl) = zbt * psxx(ji,jj,jl) + zbt1 * ( psxx(ji,jj,jl) - zfxx(ji,jj-1) ) 533 psxy(ji,jj,jl) = zalg1q(ji,jj-1) * psxy(ji,jj,jl) 534 END DO 535 END DO 536 537 ! Put the temporary moments into appropriate neighboring boxes. 538 DO jj = 2, jpjm1 ! Flux from j to j+1 IF v GT 0. 539 DO ji = fs_2, fs_jpim1 540 zbt = zbet(ji,jj-1) 541 zbt1 = 1.0 - zbet(ji,jj-1) 542 psm(ji,jj,jl) = zbt * ( psm(ji,jj,jl) + zfm(ji,jj-1) ) + zbt1 * psm(ji,jj,jl) 543 zalf = zbt * zfm(ji,jj-1) / psm(ji,jj,jl) 544 zalf1 = 1.0 - zalf 545 ztemp = zalf * ps0(ji,jj,jl) - zalf1 * zf0(ji,jj-1) 546 ! 547 ps0(ji,jj,jl) = zbt * ( ps0(ji,jj,jl) + zf0(ji,jj-1) ) + zbt1 * ps0(ji,jj,jl) 548 psy(ji,jj,jl) = zbt * ( zalf * zfy(ji,jj-1) + zalf1 * psy(ji,jj,jl) + 3.0 * ztemp ) & 549 & + zbt1 * psy(ji,jj,jl) 550 psyy(ji,jj,jl) = zbt * ( zalf * zalf * zfyy(ji,jj-1) + zalf1 * zalf1 * psyy(ji,jj,jl) & 551 & + 5.0 * ( zalf * zalf1 * ( psy(ji,jj,jl) - zfy(ji,jj-1) ) - ( zalf1 - zalf ) * ztemp ) ) & 552 & + zbt1 * psyy(ji,jj,jl) 553 psxy(ji,jj,jl) = zbt * ( zalf * zfxy(ji,jj-1) + zalf1 * psxy(ji,jj,jl) & 554 & + 3.0 * (- zalf1 * zfx(ji,jj-1) + zalf * psx(ji,jj,jl) ) ) & 555 & + zbt1 * psxy(ji,jj,jl) 556 psx (ji,jj,jl) = zbt * ( psx (ji,jj,jl) + zfx (ji,jj-1) ) + zbt1 * psx (ji,jj,jl) 557 psxx(ji,jj,jl) = zbt * ( psxx(ji,jj,jl) + zfxx(ji,jj-1) ) + zbt1 * psxx(ji,jj,jl) 558 END DO 559 END DO 560 561 DO jj = 2, jpjm1 ! Flux from j+1 to j IF v LT 0. 562 DO ji = fs_2, fs_jpim1 563 zbt = zbet(ji,jj) 564 zbt1 = 1.0 - zbet(ji,jj) 565 psm(ji,jj,jl) = zbt * psm(ji,jj,jl) + zbt1 * ( psm(ji,jj,jl) + zfm(ji,jj) ) 566 zalf = zbt1 * zfm(ji,jj) / psm(ji,jj,jl) 567 zalf1 = 1.0 - zalf 568 ztemp = - zalf * ps0(ji,jj,jl) + zalf1 * zf0(ji,jj) 569 ! 570 ps0 (ji,jj,jl) = zbt * ps0 (ji,jj,jl) + zbt1 * ( ps0(ji,jj,jl) + zf0(ji,jj) ) 571 psy (ji,jj,jl) = zbt * psy (ji,jj,jl) + zbt1 * ( zalf * zfy(ji,jj) + zalf1 * psy(ji,jj,jl) + 3.0 * ztemp ) 572 psyy(ji,jj,jl) = zbt * psyy(ji,jj,jl) + zbt1 * ( zalf * zalf * zfyy(ji,jj) + zalf1 * zalf1 * psyy(ji,jj,jl) & 573 & + 5.0 * ( zalf * zalf1 * ( - psy(ji,jj,jl) + zfy(ji,jj) ) & 574 & + ( zalf1 - zalf ) * ztemp ) ) 575 psxy(ji,jj,jl) = zbt * psxy(ji,jj,jl) + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj,jl) & 576 & + 3.0 * ( zalf1 * zfx(ji,jj) - zalf * psx(ji,jj,jl) ) ) 577 psx (ji,jj,jl) = zbt * psx (ji,jj,jl) + zbt1 * ( psx (ji,jj,jl) + zfx (ji,jj) ) 578 psxx(ji,jj,jl) = zbt * psxx(ji,jj,jl) + zbt1 * ( psxx(ji,jj,jl) + zfxx(ji,jj) ) 579 END DO 580 END DO 581 487 582 END DO 488 583 489 ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) 490 psm(:,:) = MAX( pcrh * e1e2t(:,:) + ( 1.0 - pcrh ) * psm(:,:) , epsi20 ) 491 492 ! Calculate fluxes and moments between boxes j<-->j+1 493 DO jj = 1, jpj ! Flux from j to j+1 WHEN v GT 0 494 DO ji = 1, jpi 495 zbet(ji,jj) = MAX( 0._wp, SIGN( 1._wp, pvt(ji,jj) ) ) 496 zalf = MAX( 0._wp, pvt(ji,jj) ) * zrdt * e1v(ji,jj) / psm(ji,jj) 497 zalfq = zalf * zalf 498 zalf1 = 1.0 - zalf 499 zalf1q = zalf1 * zalf1 500 ! 501 zfm (ji,jj) = zalf * psm(ji,jj) 502 zf0 (ji,jj) = zalf * ( ps0(ji,jj) + zalf1 * ( psy(ji,jj) + (zalf1-zalf) * psyy(ji,jj) ) ) 503 zfy (ji,jj) = zalfq *( psy(ji,jj) + 3.0*zalf1*psyy(ji,jj) ) 504 zfyy(ji,jj) = zalf * zalfq * psyy(ji,jj) 505 zfx (ji,jj) = zalf * ( psx(ji,jj) + zalf1 * psxy(ji,jj) ) 506 zfxy(ji,jj) = zalfq * psxy(ji,jj) 507 zfxx(ji,jj) = zalf * psxx(ji,jj) 508 ! 509 ! Readjust moments remaining in the box. 510 psm (ji,jj) = psm (ji,jj) - zfm(ji,jj) 511 ps0 (ji,jj) = ps0 (ji,jj) - zf0(ji,jj) 512 psy (ji,jj) = zalf1q * ( psy(ji,jj) -3.0 * zalf * psyy(ji,jj) ) 513 psyy(ji,jj) = zalf1 * zalf1q * psyy(ji,jj) 514 psx (ji,jj) = psx (ji,jj) - zfx(ji,jj) 515 psxx(ji,jj) = psxx(ji,jj) - zfxx(ji,jj) 516 psxy(ji,jj) = zalf1q * psxy(ji,jj) 584 !-- Lateral boundary conditions 585 CALL lbc_lnk_multi( 'icedyn_adv_pra', psm(:,:,1:jcat) , 'T', 1., ps0 , 'T', 1. & 586 & , psx , 'T', -1., psy , 'T', -1. & ! caution gradient ==> the sign changes 587 & , psxx , 'T', 1., psyy, 'T', 1. , psxy, 'T', 1. ) 588 ! 589 END SUBROUTINE adv_y 590 591 592 SUBROUTINE Hsnow( pdt, pv_i, pv_s, pa_i, pa_ip, pe_s ) 593 !!------------------------------------------------------------------- 594 !! *** ROUTINE Hsnow *** 595 !! 596 !! ** Purpose : 1- Check snow load after advection 597 !! 2- Correct pond concentration to avoid a_ip > a_i 598 !! 599 !! ** Method : If snow load makes snow-ice interface to deplet below the ocean surface 600 !! then put the snow excess in the ocean 601 !! 602 !! ** Notes : This correction is crucial because of the call to routine icecor afterwards 603 !! which imposes a mini of ice thick. (rn_himin). This imposed mini can artificially 604 !! make the snow very thick (if concentration decreases drastically) 605 !! This behavior has been seen in Ultimate-Macho and supposedly it can also be true for Prather 606 !!------------------------------------------------------------------- 607 REAL(wp) , INTENT(in ) :: pdt ! tracer time-step 608 REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_i, pv_s, pa_i, pa_ip 609 REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s 610 ! 611 INTEGER :: ji, jj, jl ! dummy loop indices 612 REAL(wp) :: z1_dt, zvs_excess, zfra 613 !!------------------------------------------------------------------- 614 ! 615 z1_dt = 1._wp / pdt 616 ! 617 ! -- check snow load -- ! 618 DO jl = 1, jpl 619 DO jj = 1, jpj 620 DO ji = 1, jpi 621 IF ( pv_i(ji,jj,jl) > 0._wp ) THEN 622 ! 623 zvs_excess = MAX( 0._wp, pv_s(ji,jj,jl) - pv_i(ji,jj,jl) * (rau0-rhoi) * r1_rhos ) 624 ! 625 IF( zvs_excess > 0._wp ) THEN ! snow-ice interface deplets below the ocean surface 626 ! put snow excess in the ocean 627 zfra = ( pv_s(ji,jj,jl) - zvs_excess ) / MAX( pv_s(ji,jj,jl), epsi20 ) 628 wfx_res(ji,jj) = wfx_res(ji,jj) + zvs_excess * rhos * z1_dt 629 hfx_res(ji,jj) = hfx_res(ji,jj) - SUM( pe_s(ji,jj,1:nlay_s,jl) ) * ( 1._wp - zfra ) * z1_dt ! W.m-2 <0 630 ! correct snow volume and heat content 631 pe_s(ji,jj,1:nlay_s,jl) = pe_s(ji,jj,1:nlay_s,jl) * zfra 632 pv_s(ji,jj,jl) = pv_s(ji,jj,jl) - zvs_excess 633 ENDIF 634 ! 635 ENDIF 636 END DO 517 637 END DO 518 638 END DO 519 639 ! 520 DO jj = 1, jpjm1 ! Flux from j+1 to j when v LT 0. 521 DO ji = 1, jpi 522 zalf = ( MAX(0._wp, -pvt(ji,jj) ) * zrdt * e1v(ji,jj) ) / psm(ji,jj+1) 523 zalg (ji,jj) = zalf 524 zalfq = zalf * zalf 525 zalf1 = 1.0 - zalf 526 zalg1 (ji,jj) = zalf1 527 zalf1q = zalf1 * zalf1 528 zalg1q(ji,jj) = zalf1q 529 ! 530 zfm (ji,jj) = zfm (ji,jj) + zalf * psm (ji,jj+1) 531 zf0 (ji,jj) = zf0 (ji,jj) + zalf * ( ps0 (ji,jj+1) - zalf1 * (psy(ji,jj+1) - (zalf1 - zalf ) * psyy(ji,jj+1) ) ) 532 zfy (ji,jj) = zfy (ji,jj) + zalfq * ( psy (ji,jj+1) - 3.0 * zalf1 * psyy(ji,jj+1) ) 533 zfyy (ji,jj) = zfyy(ji,jj) + zalf * psyy(ji,jj+1) * zalfq 534 zfx (ji,jj) = zfx (ji,jj) + zalf * ( psx (ji,jj+1) - zalf1 * psxy(ji,jj+1) ) 535 zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji,jj+1) 536 zfxx (ji,jj) = zfxx(ji,jj) + zalf * psxx(ji,jj+1) 537 END DO 538 END DO 539 540 ! Readjust moments remaining in the box. 541 DO jj = 2, jpj 542 DO ji = 1, jpi 543 zbt = zbet(ji,jj-1) 544 zbt1 = ( 1.0 - zbet(ji,jj-1) ) 545 ! 546 psm (ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) - zfm(ji,jj-1) ) 547 ps0 (ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) - zf0(ji,jj-1) ) 548 psy (ji,jj) = zalg1q(ji,jj-1) * ( psy(ji,jj) + 3.0 * zalg(ji,jj-1) * psyy(ji,jj) ) 549 psyy(ji,jj) = zalg1 (ji,jj-1) * zalg1q(ji,jj-1) * psyy(ji,jj) 550 psx (ji,jj) = zbt * psx (ji,jj) + zbt1 * ( psx (ji,jj) - zfx (ji,jj-1) ) 551 psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( psxx(ji,jj) - zfxx(ji,jj-1) ) 552 psxy(ji,jj) = zalg1q(ji,jj-1) * psxy(ji,jj) 553 END DO 554 END DO 555 556 ! Put the temporary moments into appropriate neighboring boxes. 557 DO jj = 2, jpjm1 ! Flux from j to j+1 IF v GT 0. 558 DO ji = 1, jpi 559 zbt = zbet(ji,jj-1) 560 zbt1 = ( 1.0 - zbet(ji,jj-1) ) 561 psm(ji,jj) = zbt * ( psm(ji,jj) + zfm(ji,jj-1) ) + zbt1 * psm(ji,jj) 562 zalf = zbt * zfm(ji,jj-1) / psm(ji,jj) 563 zalf1 = 1.0 - zalf 564 ztemp = zalf * ps0(ji,jj) - zalf1 * zf0(ji,jj-1) 565 ! 566 ps0(ji,jj) = zbt * ( ps0(ji,jj) + zf0(ji,jj-1) ) + zbt1 * ps0(ji,jj) 567 psy(ji,jj) = zbt * ( zalf * zfy(ji,jj-1) + zalf1 * psy(ji,jj) + 3.0 * ztemp ) & 568 & + zbt1 * psy(ji,jj) 569 psyy(ji,jj) = zbt * ( zalf * zalf * zfyy(ji,jj-1) + zalf1 * zalf1 * psyy(ji,jj) & 570 & + 5.0 * ( zalf * zalf1 * ( psy(ji,jj) - zfy(ji,jj-1) ) - ( zalf1 - zalf ) * ztemp ) ) & 571 & + zbt1 * psyy(ji,jj) 572 psxy(ji,jj) = zbt * ( zalf * zfxy(ji,jj-1) + zalf1 * psxy(ji,jj) & 573 & + 3.0 * (- zalf1 * zfx(ji,jj-1) + zalf * psx(ji,jj) ) ) & 574 & + zbt1 * psxy(ji,jj) 575 psx (ji,jj) = zbt * ( psx (ji,jj) + zfx (ji,jj-1) ) + zbt1 * psx (ji,jj) 576 psxx(ji,jj) = zbt * ( psxx(ji,jj) + zfxx(ji,jj-1) ) + zbt1 * psxx(ji,jj) 577 END DO 578 END DO 579 580 DO jj = 2, jpjm1 ! Flux from j+1 to j IF v LT 0. 581 DO ji = 1, jpi 582 zbt = zbet(ji,jj) 583 zbt1 = ( 1.0 - zbet(ji,jj) ) 584 psm(ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) + zfm(ji,jj) ) 585 zalf = zbt1 * zfm(ji,jj) / psm(ji,jj) 586 zalf1 = 1.0 - zalf 587 ztemp = - zalf * ps0 (ji,jj) + zalf1 * zf0(ji,jj) 588 ps0 (ji,jj) = zbt * ps0 (ji,jj) + zbt1 * ( ps0(ji,jj) + zf0(ji,jj) ) 589 psy (ji,jj) = zbt * psy (ji,jj) + zbt1 * ( zalf * zfy(ji,jj) + zalf1 * psy(ji,jj) + 3.0 * ztemp ) 590 psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( zalf * zalf * zfyy(ji,jj) + zalf1 * zalf1 * psyy(ji,jj) & 591 & + 5.0 *( zalf *zalf1 *( -psy(ji,jj) + zfy(ji,jj) ) & 592 & + ( zalf1 - zalf ) * ztemp ) ) 593 psxy(ji,jj) = zbt * psxy(ji,jj) + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj) & 594 & + 3.0 * ( zalf1 * zfx(ji,jj) - zalf * psx(ji,jj) ) ) 595 psx (ji,jj) = zbt * psx (ji,jj) + zbt1 * ( psx (ji,jj) + zfx (ji,jj) ) 596 psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( psxx(ji,jj) + zfxx(ji,jj) ) 597 END DO 598 END DO 599 600 !-- Lateral boundary conditions 601 CALL lbc_lnk_multi( 'icedyn_adv_pra', psm , 'T', 1., ps0 , 'T', 1. & 602 & , psx , 'T', -1., psy , 'T', -1. & ! caution gradient ==> the sign changes 603 & , psxx, 'T', 1., psyy, 'T', 1. & 604 & , psxy, 'T', 1. ) 605 606 IF(ln_ctl) THEN 607 CALL prt_ctl(tab2d_1=psm , clinfo1=' adv_y: psm :', tab2d_2=ps0 , clinfo2=' ps0 : ') 608 CALL prt_ctl(tab2d_1=psx , clinfo1=' adv_y: psx :', tab2d_2=psxx, clinfo2=' psxx : ') 609 CALL prt_ctl(tab2d_1=psy , clinfo1=' adv_y: psy :', tab2d_2=psyy, clinfo2=' psyy : ') 610 CALL prt_ctl(tab2d_1=psxy , clinfo1=' adv_y: psxy :') 611 ENDIF 612 ! 613 END SUBROUTINE adv_y 640 !-- correct pond concentration to avoid a_ip > a_i -- ! 641 WHERE( pa_ip(:,:,:) > pa_i(:,:,:) ) pa_ip(:,:,:) = pa_i(:,:,:) 642 ! 643 END SUBROUTINE Hsnow 614 644 615 645 … … 624 654 ! 625 655 ! !* allocate prather fields 626 ALLOCATE( sxopw(jpi,jpj) , syopw(jpi,jpj) , sxxopw(jpi,jpj) , syyopw(jpi,jpj) , sxyopw(jpi,jpj) , & 627 & sxice(jpi,jpj,jpl) , syice(jpi,jpj,jpl) , sxxice(jpi,jpj,jpl) , syyice(jpi,jpj,jpl) , sxyice(jpi,jpj,jpl) , & 656 ALLOCATE( sxice(jpi,jpj,jpl) , syice(jpi,jpj,jpl) , sxxice(jpi,jpj,jpl) , syyice(jpi,jpj,jpl) , sxyice(jpi,jpj,jpl) , & 628 657 & sxsn (jpi,jpj,jpl) , sysn (jpi,jpj,jpl) , sxxsn (jpi,jpj,jpl) , syysn (jpi,jpj,jpl) , sxysn (jpi,jpj,jpl) , & 629 658 & sxa (jpi,jpj,jpl) , sya (jpi,jpj,jpl) , sxxa (jpi,jpj,jpl) , syya (jpi,jpj,jpl) , sxya (jpi,jpj,jpl) , & … … 652 681 !! *** ROUTINE adv_pra_rst *** 653 682 !! 654 !! ** Purpose : Read or write RHGfile in restart file683 !! ** Purpose : Read or write file in restart file 655 684 !! 656 685 !! ** Method : use of IOM library … … 671 700 ! !==========================! 672 701 ! 673 IF( ln_rstart ) THEN ; id1 = iom_varid( numrir, 'sx opw' , ldstop = .FALSE. ) ! file exist: id1>0702 IF( ln_rstart ) THEN ; id1 = iom_varid( numrir, 'sxice' , ldstop = .FALSE. ) ! file exist: id1>0 674 703 ELSE ; id1 = 0 ! no restart: id1=0 675 704 ENDIF … … 689 718 CALL iom_get( numrir, jpdom_autoglo, 'syysn' , syysn ) 690 719 CALL iom_get( numrir, jpdom_autoglo, 'sxysn' , sxysn ) 691 ! ! lead fraction720 ! ! ice concentration 692 721 CALL iom_get( numrir, jpdom_autoglo, 'sxa' , sxa ) 693 722 CALL iom_get( numrir, jpdom_autoglo, 'sya' , sya ) … … 707 736 CALL iom_get( numrir, jpdom_autoglo, 'syyage', syyage ) 708 737 CALL iom_get( numrir, jpdom_autoglo, 'sxyage', sxyage ) 709 ! ! open water in sea ice710 CALL iom_get( numrir, jpdom_autoglo, 'sxopw' , sxopw )711 CALL iom_get( numrir, jpdom_autoglo, 'syopw' , syopw )712 CALL iom_get( numrir, jpdom_autoglo, 'sxxopw', sxxopw )713 CALL iom_get( numrir, jpdom_autoglo, 'syyopw', syyopw )714 CALL iom_get( numrir, jpdom_autoglo, 'sxyopw', sxyopw )715 738 ! ! snow layers heat content 716 739 DO jk = 1, nlay_s … … 752 775 sxice = 0._wp ; syice = 0._wp ; sxxice = 0._wp ; syyice = 0._wp ; sxyice = 0._wp ! ice thickness 753 776 sxsn = 0._wp ; sysn = 0._wp ; sxxsn = 0._wp ; syysn = 0._wp ; sxysn = 0._wp ! snow thickness 754 sxa = 0._wp ; sya = 0._wp ; sxxa = 0._wp ; syya = 0._wp ; sxya = 0._wp ! lead fraction777 sxa = 0._wp ; sya = 0._wp ; sxxa = 0._wp ; syya = 0._wp ; sxya = 0._wp ! ice concentration 755 778 sxsal = 0._wp ; sysal = 0._wp ; sxxsal = 0._wp ; syysal = 0._wp ; sxysal = 0._wp ! ice salinity 756 779 sxage = 0._wp ; syage = 0._wp ; sxxage = 0._wp ; syyage = 0._wp ; sxyage = 0._wp ! ice age 757 sxopw = 0._wp ; syopw = 0._wp ; sxxopw = 0._wp ; syyopw = 0._wp ; sxyopw = 0._wp ! open water in sea ice758 780 sxc0 = 0._wp ; syc0 = 0._wp ; sxxc0 = 0._wp ; syyc0 = 0._wp ; sxyc0 = 0._wp ! snow layers heat content 759 781 sxe = 0._wp ; sye = 0._wp ; sxxe = 0._wp ; syye = 0._wp ; sxye = 0._wp ! ice layers heat content … … 786 808 CALL iom_rstput( iter, nitrst, numriw, 'syysn' , syysn ) 787 809 CALL iom_rstput( iter, nitrst, numriw, 'sxysn' , sxysn ) 788 ! ! lead fraction810 ! ! ice concentration 789 811 CALL iom_rstput( iter, nitrst, numriw, 'sxa' , sxa ) 790 812 CALL iom_rstput( iter, nitrst, numriw, 'sya' , sya ) … … 804 826 CALL iom_rstput( iter, nitrst, numriw, 'syyage', syyage ) 805 827 CALL iom_rstput( iter, nitrst, numriw, 'sxyage', sxyage ) 806 ! ! open water in sea ice807 CALL iom_rstput( iter, nitrst, numriw, 'sxopw' , sxopw )808 CALL iom_rstput( iter, nitrst, numriw, 'syopw' , syopw )809 CALL iom_rstput( iter, nitrst, numriw, 'sxxopw', sxxopw )810 CALL iom_rstput( iter, nitrst, numriw, 'syyopw', syyopw )811 CALL iom_rstput( iter, nitrst, numriw, 'sxyopw', sxyopw )812 828 ! ! snow layers heat content 813 829 DO jk = 1, nlay_s
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