| 1 | MODULE sbcisf |
|---|
| 2 | !!====================================================================== |
|---|
| 3 | !! *** MODULE sbcisf *** |
|---|
| 4 | !! Surface module : update surface ocean boundary condition under ice |
|---|
| 5 | !! shelf |
|---|
| 6 | !!====================================================================== |
|---|
| 7 | !! History : 3.2 ! 2011-02 (C.Harris ) Original code isf cav |
|---|
| 8 | !! X.X ! 2006-02 (C. Wang ) Original code bg03 |
|---|
| 9 | !! 3.4 ! 2013-03 (P. Mathiot) Merging + parametrization |
|---|
| 10 | !!---------------------------------------------------------------------- |
|---|
| 11 | |
|---|
| 12 | !!---------------------------------------------------------------------- |
|---|
| 13 | !! sbc_isf : update sbc under ice shelf |
|---|
| 14 | !!---------------------------------------------------------------------- |
|---|
| 15 | USE oce ! ocean dynamics and tracers |
|---|
| 16 | USE dom_oce ! ocean space and time domain |
|---|
| 17 | USE phycst ! physical constants |
|---|
| 18 | USE eosbn2 ! equation of state |
|---|
| 19 | USE sbc_oce ! surface boundary condition: ocean fields |
|---|
| 20 | USE zdfdrg ! vertical physics: top/bottom drag coef. |
|---|
| 21 | ! |
|---|
| 22 | USE in_out_manager ! I/O manager |
|---|
| 23 | USE iom ! I/O library |
|---|
| 24 | USE fldread ! read input field at current time step |
|---|
| 25 | USE lbclnk ! |
|---|
| 26 | USE lib_fortran ! glob_sum |
|---|
| 27 | |
|---|
| 28 | IMPLICIT NONE |
|---|
| 29 | PRIVATE |
|---|
| 30 | |
|---|
| 31 | PUBLIC sbc_isf, sbc_isf_init, sbc_isf_div, sbc_isf_alloc ! routine called in sbcmod and divhor |
|---|
| 32 | |
|---|
| 33 | ! public in order to be able to output then |
|---|
| 34 | |
|---|
| 35 | REAL(wp), PUBLIC :: rn_hisf_tbl !: thickness of top boundary layer [m] |
|---|
| 36 | INTEGER , PUBLIC :: nn_isf !: flag to choose between explicit/param/specified |
|---|
| 37 | INTEGER , PUBLIC :: nn_isfblk !: flag to choose the bulk formulation to compute the ice shelf melting |
|---|
| 38 | INTEGER , PUBLIC :: nn_gammablk !: flag to choose how the exchange coefficient is computed |
|---|
| 39 | REAL(wp), PUBLIC :: rn_gammat0 !: temperature exchange coeficient [] |
|---|
| 40 | REAL(wp), PUBLIC :: rn_gammas0 !: salinity exchange coeficient [] |
|---|
| 41 | |
|---|
| 42 | INTEGER , PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: misfkt , misfkb !: Level of ice shelf base |
|---|
| 43 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: rzisf_tbl !: depth of calving front (shallowest point) nn_isf ==2/3 |
|---|
| 44 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: rhisf_tbl, rhisf_tbl_0 !: thickness of tbl [m] |
|---|
| 45 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: r1_hisf_tbl !: 1/thickness of tbl |
|---|
| 46 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ralpha !: proportion of bottom cell influenced by tbl |
|---|
| 47 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: risfLeff !: effective length (Leff) BG03 nn_isf==2 |
|---|
| 48 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ttbl, stbl, utbl, vtbl !: top boundary layer variable at T point |
|---|
| 49 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: qisf !: net heat flux from ice shelf [W/m2] |
|---|
| 50 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: risf_tsc_b, risf_tsc !: before and now T & S isf contents [K.m/s & PSU.m/s] |
|---|
| 51 | |
|---|
| 52 | LOGICAL, PUBLIC :: l_isfcpl = .false. !: isf recieved from oasis |
|---|
| 53 | |
|---|
| 54 | REAL(wp), PUBLIC, SAVE :: rcpisf = 2000.0_wp !: specific heat of ice shelf [J/kg/K] |
|---|
| 55 | REAL(wp), PUBLIC, SAVE :: rkappa = 1.54e-6_wp !: heat diffusivity through the ice-shelf [m2/s] |
|---|
| 56 | REAL(wp), PUBLIC, SAVE :: rhoisf = 920.0_wp !: volumic mass of ice shelf [kg/m3] |
|---|
| 57 | REAL(wp), PUBLIC, SAVE :: tsurf = -20.0_wp !: air temperature on top of ice shelf [C] |
|---|
| 58 | REAL(wp), PUBLIC, SAVE :: rLfusisf = 0.334e6_wp !: latent heat of fusion of ice shelf [J/kg] |
|---|
| 59 | |
|---|
| 60 | !: Variable used in fldread to read the forcing file (nn_isf == 4 .OR. nn_isf == 3) |
|---|
| 61 | CHARACTER(len=100), PUBLIC :: cn_dirisf = './' !: Root directory for location of ssr files |
|---|
| 62 | TYPE(FLD_N) , PUBLIC :: sn_fwfisf !: information about the isf melting file to be read |
|---|
| 63 | TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf_fwfisf |
|---|
| 64 | TYPE(FLD_N) , PUBLIC :: sn_rnfisf !: information about the isf melting param. file to be read |
|---|
| 65 | TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf_rnfisf |
|---|
| 66 | TYPE(FLD_N) , PUBLIC :: sn_depmax_isf !: information about the grounding line depth file to be read |
|---|
| 67 | TYPE(FLD_N) , PUBLIC :: sn_depmin_isf !: information about the calving line depth file to be read |
|---|
| 68 | TYPE(FLD_N) , PUBLIC :: sn_Leff_isf !: information about the effective length file to be read |
|---|
| 69 | |
|---|
| 70 | !!---------------------------------------------------------------------- |
|---|
| 71 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
|---|
| 72 | !! $Id$ |
|---|
| 73 | !! Software governed by the CeCILL license (see ./LICENSE) |
|---|
| 74 | !!---------------------------------------------------------------------- |
|---|
| 75 | CONTAINS |
|---|
| 76 | |
|---|
| 77 | SUBROUTINE sbc_isf( kt ) |
|---|
| 78 | !!--------------------------------------------------------------------- |
|---|
| 79 | !! *** ROUTINE sbc_isf *** |
|---|
| 80 | !! |
|---|
| 81 | !! ** Purpose : Compute Salt and Heat fluxes related to ice_shelf |
|---|
| 82 | !! melting and freezing |
|---|
| 83 | !! |
|---|
| 84 | !! ** Method : 4 parameterizations are available according to nn_isf |
|---|
| 85 | !! nn_isf = 1 : Realistic ice_shelf formulation |
|---|
| 86 | !! 2 : Beckmann & Goose parameterization |
|---|
| 87 | !! 3 : Specified runoff in deptht (Mathiot & al. ) |
|---|
| 88 | !! 4 : specified fwf and heat flux forcing beneath the ice shelf |
|---|
| 89 | !!---------------------------------------------------------------------- |
|---|
| 90 | INTEGER, INTENT(in) :: kt ! ocean time step |
|---|
| 91 | ! |
|---|
| 92 | INTEGER :: ji, jj, jk ! loop index |
|---|
| 93 | INTEGER :: ikt, ikb ! local integers |
|---|
| 94 | REAL(wp), DIMENSION(jpi,jpj) :: zt_frz, zdep ! freezing temperature (zt_frz) at depth (zdep) |
|---|
| 95 | REAL(wp), DIMENSION(:,:) , ALLOCATABLE :: zqhcisf2d |
|---|
| 96 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: zfwfisf3d, zqhcisf3d, zqlatisf3d |
|---|
| 97 | !!--------------------------------------------------------------------- |
|---|
| 98 | ! |
|---|
| 99 | IF( MOD( kt-1, nn_fsbc) == 0 ) THEN ! compute salt and heat flux |
|---|
| 100 | ! |
|---|
| 101 | SELECT CASE ( nn_isf ) |
|---|
| 102 | CASE ( 1 ) ! realistic ice shelf formulation |
|---|
| 103 | ! compute T/S/U/V for the top boundary layer |
|---|
| 104 | CALL sbc_isf_tbl(tsn(:,:,:,jp_tem),ttbl(:,:),'T') |
|---|
| 105 | CALL sbc_isf_tbl(tsn(:,:,:,jp_sal),stbl(:,:),'T') |
|---|
| 106 | CALL sbc_isf_tbl(un(:,:,:) ,utbl(:,:),'U') |
|---|
| 107 | CALL sbc_isf_tbl(vn(:,:,:) ,vtbl(:,:),'V') |
|---|
| 108 | ! iom print |
|---|
| 109 | CALL iom_put('ttbl',ttbl(:,:)) |
|---|
| 110 | CALL iom_put('stbl',stbl(:,:)) |
|---|
| 111 | CALL iom_put('utbl',utbl(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:)) |
|---|
| 112 | CALL iom_put('vtbl',vtbl(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:)) |
|---|
| 113 | ! compute fwf and heat flux |
|---|
| 114 | ! compute fwf and heat flux |
|---|
| 115 | IF( .NOT.l_isfcpl ) THEN ; CALL sbc_isf_cav (kt) |
|---|
| 116 | ELSE ; qisf(:,:) = fwfisf(:,:) * rLfusisf ! heat flux |
|---|
| 117 | ENDIF |
|---|
| 118 | ! |
|---|
| 119 | CASE ( 2 ) ! Beckmann and Goosse parametrisation |
|---|
| 120 | stbl(:,:) = soce |
|---|
| 121 | CALL sbc_isf_bg03(kt) |
|---|
| 122 | ! |
|---|
| 123 | CASE ( 3 ) ! specified runoff in depth (Mathiot et al., XXXX in preparation) |
|---|
| 124 | ! specified runoff in depth (Mathiot et al., XXXX in preparation) |
|---|
| 125 | IF( .NOT.l_isfcpl ) THEN |
|---|
| 126 | CALL fld_read ( kt, nn_fsbc, sf_rnfisf ) |
|---|
| 127 | fwfisf(:,:) = - sf_rnfisf(1)%fnow(:,:,1) ! fresh water flux from the isf (fwfisf <0 mean melting) |
|---|
| 128 | ENDIF |
|---|
| 129 | qisf(:,:) = fwfisf(:,:) * rLfusisf ! heat flux |
|---|
| 130 | stbl(:,:) = soce |
|---|
| 131 | ! |
|---|
| 132 | CASE ( 4 ) ! specified fwf and heat flux forcing beneath the ice shelf |
|---|
| 133 | ! ! specified fwf and heat flux forcing beneath the ice shelf |
|---|
| 134 | IF( .NOT.l_isfcpl ) THEN |
|---|
| 135 | CALL fld_read ( kt, nn_fsbc, sf_fwfisf ) |
|---|
| 136 | !CALL fld_read ( kt, nn_fsbc, sf_qisf ) |
|---|
| 137 | fwfisf(:,:) = -sf_fwfisf(1)%fnow(:,:,1) ! fwf |
|---|
| 138 | ENDIF |
|---|
| 139 | qisf(:,:) = fwfisf(:,:) * rLfusisf ! heat flux |
|---|
| 140 | stbl(:,:) = soce |
|---|
| 141 | ! |
|---|
| 142 | END SELECT |
|---|
| 143 | |
|---|
| 144 | ! compute tsc due to isf |
|---|
| 145 | ! isf melting implemented as a volume flux and we assume that melt water is at 0 PSU. |
|---|
| 146 | ! WARNING water add at temp = 0C, need to add a correction term (fwfisf * tfreez / rau0). |
|---|
| 147 | ! compute freezing point beneath ice shelf (or top cell if nn_isf = 3) |
|---|
| 148 | DO jj = 1,jpj |
|---|
| 149 | DO ji = 1,jpi |
|---|
| 150 | zdep(ji,jj)=gdepw_n(ji,jj,misfkt(ji,jj)) |
|---|
| 151 | END DO |
|---|
| 152 | END DO |
|---|
| 153 | CALL eos_fzp( stbl(:,:), zt_frz(:,:), zdep(:,:) ) |
|---|
| 154 | |
|---|
| 155 | risf_tsc(:,:,jp_tem) = qisf(:,:) * r1_rau0_rcp - fwfisf(:,:) * zt_frz(:,:) * r1_rau0 ! |
|---|
| 156 | risf_tsc(:,:,jp_sal) = 0.0_wp |
|---|
| 157 | |
|---|
| 158 | ! lbclnk |
|---|
| 159 | CALL lbc_lnk_multi( 'sbcisf', risf_tsc(:,:,jp_tem), 'T', 1., risf_tsc(:,:,jp_sal), 'T', 1., fwfisf,'T', 1., qisf, 'T', 1.) |
|---|
| 160 | ! output |
|---|
| 161 | IF( iom_use('iceshelf_cea') ) CALL iom_put( 'iceshelf_cea', -fwfisf(:,:) ) ! isf mass flux |
|---|
| 162 | IF( iom_use('hflx_isf_cea') ) CALL iom_put( 'hflx_isf_cea', risf_tsc(:,:,jp_tem) * rau0 * rcp ) ! isf sensible+latent heat (W/m2) |
|---|
| 163 | IF( iom_use('qlatisf' ) ) CALL iom_put( 'qlatisf' , qisf(:,:) ) ! isf latent heat |
|---|
| 164 | IF( iom_use('fwfisf' ) ) CALL iom_put( 'fwfisf' , fwfisf(:,:) ) ! isf mass flux (opposite sign) |
|---|
| 165 | |
|---|
| 166 | ! Diagnostics |
|---|
| 167 | IF( iom_use('fwfisf3d') .OR. iom_use('qlatisf3d') .OR. iom_use('qhcisf3d') .OR. iom_use('qhcisf')) THEN |
|---|
| 168 | ALLOCATE( zfwfisf3d(jpi,jpj,jpk) , zqhcisf3d(jpi,jpj,jpk) , zqlatisf3d(jpi,jpj,jpk) ) |
|---|
| 169 | ALLOCATE( zqhcisf2d(jpi,jpj) ) |
|---|
| 170 | ! |
|---|
| 171 | zfwfisf3d (:,:,:) = 0._wp ! 3d ice shelf melting (kg/m2/s) |
|---|
| 172 | zqhcisf3d (:,:,:) = 0._wp ! 3d heat content flux (W/m2) |
|---|
| 173 | zqlatisf3d(:,:,:) = 0._wp ! 3d ice shelf melting latent heat flux (W/m2) |
|---|
| 174 | zqhcisf2d (:,:) = fwfisf(:,:) * zt_frz * rcp ! 2d heat content flux (W/m2) |
|---|
| 175 | ! |
|---|
| 176 | DO jj = 1,jpj |
|---|
| 177 | DO ji = 1,jpi |
|---|
| 178 | ikt = misfkt(ji,jj) |
|---|
| 179 | ikb = misfkb(ji,jj) |
|---|
| 180 | DO jk = ikt, ikb - 1 |
|---|
| 181 | zfwfisf3d (ji,jj,jk) = zfwfisf3d (ji,jj,jk) + fwfisf (ji,jj) * r1_hisf_tbl(ji,jj) * e3t_n(ji,jj,jk) |
|---|
| 182 | zqhcisf3d (ji,jj,jk) = zqhcisf3d (ji,jj,jk) + zqhcisf2d(ji,jj) * r1_hisf_tbl(ji,jj) * e3t_n(ji,jj,jk) |
|---|
| 183 | zqlatisf3d(ji,jj,jk) = zqlatisf3d(ji,jj,jk) + qisf (ji,jj) * r1_hisf_tbl(ji,jj) * e3t_n(ji,jj,jk) |
|---|
| 184 | END DO |
|---|
| 185 | zfwfisf3d (ji,jj,jk) = zfwfisf3d (ji,jj,jk) + fwfisf (ji,jj) * r1_hisf_tbl(ji,jj) & |
|---|
| 186 | & * ralpha(ji,jj) * e3t_n(ji,jj,jk) |
|---|
| 187 | zqhcisf3d (ji,jj,jk) = zqhcisf3d (ji,jj,jk) + zqhcisf2d(ji,jj) * r1_hisf_tbl(ji,jj) & |
|---|
| 188 | & * ralpha(ji,jj) * e3t_n(ji,jj,jk) |
|---|
| 189 | zqlatisf3d(ji,jj,jk) = zqlatisf3d(ji,jj,jk) + qisf (ji,jj) * r1_hisf_tbl(ji,jj) & |
|---|
| 190 | & * ralpha(ji,jj) * e3t_n(ji,jj,jk) |
|---|
| 191 | END DO |
|---|
| 192 | END DO |
|---|
| 193 | ! |
|---|
| 194 | CALL iom_put('fwfisf3d' , zfwfisf3d (:,:,:)) |
|---|
| 195 | CALL iom_put('qlatisf3d', zqlatisf3d(:,:,:)) |
|---|
| 196 | CALL iom_put('qhcisf3d' , zqhcisf3d (:,:,:)) |
|---|
| 197 | CALL iom_put('qhcisf' , zqhcisf2d (:,: )) |
|---|
| 198 | ! |
|---|
| 199 | DEALLOCATE( zfwfisf3d, zqhcisf3d, zqlatisf3d ) |
|---|
| 200 | DEALLOCATE( zqhcisf2d ) |
|---|
| 201 | ENDIF |
|---|
| 202 | ! |
|---|
| 203 | ENDIF |
|---|
| 204 | |
|---|
| 205 | IF( kt == nit000 ) THEN ! set the forcing field at nit000 - 1 ! |
|---|
| 206 | IF( ln_rstart .AND. & ! Restart: read in restart file |
|---|
| 207 | & iom_varid( numror, 'fwf_isf_b', ldstop = .FALSE. ) > 0 ) THEN |
|---|
| 208 | IF(lwp) WRITE(numout,*) ' nit000-1 isf tracer content forcing fields read in the restart file' |
|---|
| 209 | CALL iom_get( numror, jpdom_autoglo, 'fwf_isf_b', fwfisf_b(:,:) , ldxios = lrxios ) ! before salt content isf_tsc trend |
|---|
| 210 | CALL iom_get( numror, jpdom_autoglo, 'isf_sc_b' , risf_tsc_b(:,:,jp_sal), ldxios = lrxios ) ! before salt content isf_tsc trend |
|---|
| 211 | CALL iom_get( numror, jpdom_autoglo, 'isf_hc_b' , risf_tsc_b(:,:,jp_tem), ldxios = lrxios ) ! before salt content isf_tsc trend |
|---|
| 212 | ELSE |
|---|
| 213 | fwfisf_b(:,:) = fwfisf(:,:) |
|---|
| 214 | risf_tsc_b(:,:,:)= risf_tsc(:,:,:) |
|---|
| 215 | ENDIF |
|---|
| 216 | ENDIF |
|---|
| 217 | ! |
|---|
| 218 | IF( lrst_oce ) THEN |
|---|
| 219 | IF(lwp) WRITE(numout,*) |
|---|
| 220 | IF(lwp) WRITE(numout,*) 'sbc : isf surface tracer content forcing fields written in ocean restart file ', & |
|---|
| 221 | & 'at it= ', kt,' date= ', ndastp |
|---|
| 222 | IF(lwp) WRITE(numout,*) '~~~~' |
|---|
| 223 | IF( lwxios ) CALL iom_swap( cwxios_context ) |
|---|
| 224 | CALL iom_rstput( kt, nitrst, numrow, 'fwf_isf_b', fwfisf(:,:) , ldxios = lwxios ) |
|---|
| 225 | CALL iom_rstput( kt, nitrst, numrow, 'isf_hc_b' , risf_tsc(:,:,jp_tem), ldxios = lwxios ) |
|---|
| 226 | CALL iom_rstput( kt, nitrst, numrow, 'isf_sc_b' , risf_tsc(:,:,jp_sal), ldxios = lwxios ) |
|---|
| 227 | IF( lwxios ) CALL iom_swap( cxios_context ) |
|---|
| 228 | ENDIF |
|---|
| 229 | ! |
|---|
| 230 | END SUBROUTINE sbc_isf |
|---|
| 231 | |
|---|
| 232 | |
|---|
| 233 | INTEGER FUNCTION sbc_isf_alloc() |
|---|
| 234 | !!---------------------------------------------------------------------- |
|---|
| 235 | !! *** FUNCTION sbc_isf_rnf_alloc *** |
|---|
| 236 | !!---------------------------------------------------------------------- |
|---|
| 237 | sbc_isf_alloc = 0 ! set to zero if no array to be allocated |
|---|
| 238 | IF( .NOT. ALLOCATED( qisf ) ) THEN |
|---|
| 239 | ALLOCATE( risf_tsc(jpi,jpj,jpts), risf_tsc_b(jpi,jpj,jpts), qisf(jpi,jpj) , & |
|---|
| 240 | & rhisf_tbl(jpi,jpj) , r1_hisf_tbl(jpi,jpj), rzisf_tbl(jpi,jpj) , & |
|---|
| 241 | & ttbl(jpi,jpj) , stbl(jpi,jpj) , utbl(jpi,jpj) , & |
|---|
| 242 | & vtbl(jpi, jpj) , risfLeff(jpi,jpj) , rhisf_tbl_0(jpi,jpj), & |
|---|
| 243 | & ralpha(jpi,jpj) , misfkt(jpi,jpj) , misfkb(jpi,jpj) , & |
|---|
| 244 | & STAT= sbc_isf_alloc ) |
|---|
| 245 | ! |
|---|
| 246 | CALL mpp_sum ( 'sbcisf', sbc_isf_alloc ) |
|---|
| 247 | IF( sbc_isf_alloc /= 0 ) CALL ctl_stop( 'STOP', 'sbc_isf_alloc: failed to allocate arrays.' ) |
|---|
| 248 | ! |
|---|
| 249 | ENDIF |
|---|
| 250 | END FUNCTION |
|---|
| 251 | |
|---|
| 252 | |
|---|
| 253 | SUBROUTINE sbc_isf_init |
|---|
| 254 | !!--------------------------------------------------------------------- |
|---|
| 255 | !! *** ROUTINE sbc_isf_init *** |
|---|
| 256 | !! |
|---|
| 257 | !! ** Purpose : Initialisation of variables for iceshelf fluxes formulation |
|---|
| 258 | !! |
|---|
| 259 | !! ** Method : 4 parameterizations are available according to nn_isf |
|---|
| 260 | !! nn_isf = 1 : Realistic ice_shelf formulation |
|---|
| 261 | !! 2 : Beckmann & Goose parameterization |
|---|
| 262 | !! 3 : Specified runoff in deptht (Mathiot & al. ) |
|---|
| 263 | !! 4 : specified fwf and heat flux forcing beneath the ice shelf |
|---|
| 264 | !!---------------------------------------------------------------------- |
|---|
| 265 | INTEGER :: ji, jj, jk ! loop index |
|---|
| 266 | INTEGER :: ik ! current level index |
|---|
| 267 | INTEGER :: ikt, ikb ! top and bottom level of the isf boundary layer |
|---|
| 268 | INTEGER :: inum, ierror |
|---|
| 269 | INTEGER :: ios ! Local integer output status for namelist read |
|---|
| 270 | REAL(wp) :: zhk |
|---|
| 271 | CHARACTER(len=256) :: cvarzisf, cvarhisf ! name for isf file |
|---|
| 272 | CHARACTER(LEN=32 ) :: cvarLeff ! variable name for efficient Length scale |
|---|
| 273 | !!---------------------------------------------------------------------- |
|---|
| 274 | NAMELIST/namsbc_isf/ nn_isfblk, rn_hisf_tbl, rn_gammat0, rn_gammas0, nn_gammablk, nn_isf, & |
|---|
| 275 | & sn_fwfisf, sn_rnfisf, sn_depmax_isf, sn_depmin_isf, sn_Leff_isf |
|---|
| 276 | !!---------------------------------------------------------------------- |
|---|
| 277 | |
|---|
| 278 | REWIND( numnam_ref ) ! Namelist namsbc_rnf in reference namelist : Runoffs |
|---|
| 279 | READ ( numnam_ref, namsbc_isf, IOSTAT = ios, ERR = 901) |
|---|
| 280 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_isf in reference namelist' ) |
|---|
| 281 | |
|---|
| 282 | REWIND( numnam_cfg ) ! Namelist namsbc_rnf in configuration namelist : Runoffs |
|---|
| 283 | READ ( numnam_cfg, namsbc_isf, IOSTAT = ios, ERR = 902 ) |
|---|
| 284 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namsbc_isf in configuration namelist' ) |
|---|
| 285 | IF(lwm) WRITE ( numond, namsbc_isf ) |
|---|
| 286 | |
|---|
| 287 | IF(lwp) WRITE(numout,*) |
|---|
| 288 | IF(lwp) WRITE(numout,*) 'sbc_isf_init : heat flux of the ice shelf' |
|---|
| 289 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~' |
|---|
| 290 | IF(lwp) WRITE(numout,*) ' Namelist namsbc_isf :' |
|---|
| 291 | IF(lwp) WRITE(numout,*) ' type ice shelf melting/freezing nn_isf = ', nn_isf |
|---|
| 292 | IF(lwp) WRITE(numout,*) ' bulk formulation (nn_isf=1 only) nn_isfblk = ', nn_isfblk |
|---|
| 293 | IF(lwp) WRITE(numout,*) ' thickness of the top boundary layer rn_hisf_tbl = ', rn_hisf_tbl |
|---|
| 294 | IF(lwp) WRITE(numout,*) ' gamma formulation nn_gammablk = ', nn_gammablk |
|---|
| 295 | IF(lwp) WRITE(numout,*) ' gammat coefficient rn_gammat0 = ', rn_gammat0 |
|---|
| 296 | IF(lwp) WRITE(numout,*) ' gammas coefficient rn_gammas0 = ', rn_gammas0 |
|---|
| 297 | IF(lwp) WRITE(numout,*) ' top drag coef. used (from namdrg_top) rn_Cd0 = ', r_Cdmin_top |
|---|
| 298 | |
|---|
| 299 | |
|---|
| 300 | ! 1 = presence of ISF 2 = bg03 parametrisation |
|---|
| 301 | ! 3 = rnf file for isf 4 = ISF fwf specified |
|---|
| 302 | ! option 1 and 4 need ln_isfcav = .true. (domzgr) |
|---|
| 303 | ! |
|---|
| 304 | ! Allocate public variable |
|---|
| 305 | IF ( sbc_isf_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'sbc_isf : unable to allocate arrays' ) |
|---|
| 306 | ! |
|---|
| 307 | ! initialisation |
|---|
| 308 | qisf (:,:) = 0._wp ; fwfisf (:,:) = 0._wp |
|---|
| 309 | risf_tsc(:,:,:) = 0._wp ; fwfisf_b(:,:) = 0._wp |
|---|
| 310 | ! |
|---|
| 311 | ! define isf tbl tickness, top and bottom indice |
|---|
| 312 | SELECT CASE ( nn_isf ) |
|---|
| 313 | CASE ( 1 ) |
|---|
| 314 | IF(lwp) WRITE(numout,*) |
|---|
| 315 | IF(lwp) WRITE(numout,*) ' ==>>> presence of under iceshelf seas (nn_isf = 1)' |
|---|
| 316 | rhisf_tbl(:,:) = rn_hisf_tbl |
|---|
| 317 | misfkt (:,:) = mikt(:,:) ! same indice for bg03 et cav => used in isfdiv |
|---|
| 318 | ! |
|---|
| 319 | CASE ( 2 , 3 ) |
|---|
| 320 | IF( .NOT.l_isfcpl ) THEN |
|---|
| 321 | ALLOCATE( sf_rnfisf(1), STAT=ierror ) |
|---|
| 322 | ALLOCATE( sf_rnfisf(1)%fnow(jpi,jpj,1), sf_rnfisf(1)%fdta(jpi,jpj,1,2) ) |
|---|
| 323 | CALL fld_fill( sf_rnfisf, (/ sn_rnfisf /), cn_dirisf, 'sbc_isf_init', 'read fresh water flux isf data', 'namsbc_isf' ) |
|---|
| 324 | ENDIF |
|---|
| 325 | ! read effective lenght (BG03) |
|---|
| 326 | IF( nn_isf == 2 ) THEN |
|---|
| 327 | IF(lwp) WRITE(numout,*) |
|---|
| 328 | IF(lwp) WRITE(numout,*) ' ==>>> bg03 parametrisation (nn_isf = 2)' |
|---|
| 329 | CALL iom_open( sn_Leff_isf%clname, inum ) |
|---|
| 330 | cvarLeff = TRIM(sn_Leff_isf%clvar) |
|---|
| 331 | CALL iom_get( inum, jpdom_data, cvarLeff, risfLeff , 1) |
|---|
| 332 | CALL iom_close(inum) |
|---|
| 333 | ! |
|---|
| 334 | risfLeff = risfLeff*1000.0_wp !: convertion in m |
|---|
| 335 | ELSE |
|---|
| 336 | IF(lwp) WRITE(numout,*) |
|---|
| 337 | IF(lwp) WRITE(numout,*) ' ==>>> rnf file for isf (nn_isf = 3)' |
|---|
| 338 | ENDIF |
|---|
| 339 | ! read depth of the top and bottom of the isf top boundary layer (in this case, isf front depth and grounding line depth) |
|---|
| 340 | CALL iom_open( sn_depmax_isf%clname, inum ) |
|---|
| 341 | cvarhisf = TRIM(sn_depmax_isf%clvar) |
|---|
| 342 | CALL iom_get( inum, jpdom_data, cvarhisf, rhisf_tbl, 1) !: depth of deepest point of the ice shelf base |
|---|
| 343 | CALL iom_close(inum) |
|---|
| 344 | ! |
|---|
| 345 | CALL iom_open( sn_depmin_isf%clname, inum ) |
|---|
| 346 | cvarzisf = TRIM(sn_depmin_isf%clvar) |
|---|
| 347 | CALL iom_get( inum, jpdom_data, cvarzisf, rzisf_tbl, 1) !: depth of shallowest point of the ice shelves base |
|---|
| 348 | CALL iom_close(inum) |
|---|
| 349 | ! |
|---|
| 350 | rhisf_tbl(:,:) = rhisf_tbl(:,:) - rzisf_tbl(:,:) !: tickness isf boundary layer |
|---|
| 351 | |
|---|
| 352 | !! compute first level of the top boundary layer |
|---|
| 353 | DO ji = 1, jpi |
|---|
| 354 | DO jj = 1, jpj |
|---|
| 355 | ik = 2 |
|---|
| 356 | !!gm potential bug: use gdepw_0 not _n |
|---|
| 357 | !!DS following Gurvan's suggestion here because it fixes a restartability issue. |
|---|
| 358 | DO WHILE ( ik <= mbkt(ji,jj) .AND. gdepw_0(ji,jj,ik) < rzisf_tbl(ji,jj) ) ; ik = ik + 1 ; END DO |
|---|
| 359 | misfkt(ji,jj) = ik-1 |
|---|
| 360 | END DO |
|---|
| 361 | END DO |
|---|
| 362 | ! |
|---|
| 363 | CASE ( 4 ) |
|---|
| 364 | IF(lwp) WRITE(numout,*) |
|---|
| 365 | IF(lwp) WRITE(numout,*) ' ==>>> specified fresh water flux in ISF (nn_isf = 4)' |
|---|
| 366 | ! as in nn_isf == 1 |
|---|
| 367 | rhisf_tbl(:,:) = rn_hisf_tbl |
|---|
| 368 | misfkt (:,:) = mikt(:,:) ! same indice for bg03 et cav => used in isfdiv |
|---|
| 369 | ! |
|---|
| 370 | ! load variable used in fldread (use for temporal interpolation of isf fwf forcing) |
|---|
| 371 | IF( .NOT.l_isfcpl ) THEN |
|---|
| 372 | ALLOCATE( sf_fwfisf(1), STAT=ierror ) |
|---|
| 373 | ALLOCATE( sf_fwfisf(1)%fnow(jpi,jpj,1), sf_fwfisf(1)%fdta(jpi,jpj,1,2) ) |
|---|
| 374 | CALL fld_fill( sf_fwfisf, (/ sn_fwfisf /), cn_dirisf, 'sbc_isf_init', 'read fresh water flux isf data', 'namsbc_isf' ) |
|---|
| 375 | ENDIF |
|---|
| 376 | ! |
|---|
| 377 | CASE DEFAULT |
|---|
| 378 | CALL ctl_stop( 'sbc_isf_init: wrong value of nn_isf' ) |
|---|
| 379 | END SELECT |
|---|
| 380 | |
|---|
| 381 | rhisf_tbl_0(:,:) = rhisf_tbl(:,:) |
|---|
| 382 | |
|---|
| 383 | ! compute bottom level of isf tbl and thickness of tbl below the ice shelf |
|---|
| 384 | DO jj = 1,jpj |
|---|
| 385 | DO ji = 1,jpi |
|---|
| 386 | ikt = misfkt(ji,jj) |
|---|
| 387 | ikb = misfkt(ji,jj) |
|---|
| 388 | ! thickness of boundary layer at least the top level thickness |
|---|
| 389 | rhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), e3t_n(ji,jj,ikt)) |
|---|
| 390 | |
|---|
| 391 | ! determine the deepest level influenced by the boundary layer |
|---|
| 392 | DO jk = ikt+1, mbkt(ji,jj) |
|---|
| 393 | IF( (SUM(e3t_n(ji,jj,ikt:jk-1)) < rhisf_tbl(ji,jj)) .AND. (tmask(ji,jj,jk) == 1) ) ikb = jk |
|---|
| 394 | END DO |
|---|
| 395 | rhisf_tbl(ji,jj) = MIN(rhisf_tbl(ji,jj), SUM(e3t_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness. |
|---|
| 396 | misfkb(ji,jj) = ikb ! last wet level of the tbl |
|---|
| 397 | r1_hisf_tbl(ji,jj) = 1._wp / rhisf_tbl(ji,jj) |
|---|
| 398 | |
|---|
| 399 | zhk = SUM( e3t_n(ji, jj, ikt:ikb - 1)) * r1_hisf_tbl(ji,jj) ! proportion of tbl cover by cell from ikt to ikb - 1 |
|---|
| 400 | ralpha(ji,jj) = rhisf_tbl(ji,jj) * (1._wp - zhk ) / e3t_n(ji,jj,ikb) ! proportion of bottom cell influenced by boundary layer |
|---|
| 401 | END DO |
|---|
| 402 | END DO |
|---|
| 403 | |
|---|
| 404 | IF( lwxios ) THEN |
|---|
| 405 | CALL iom_set_rstw_var_active('fwf_isf_b') |
|---|
| 406 | CALL iom_set_rstw_var_active('isf_hc_b') |
|---|
| 407 | CALL iom_set_rstw_var_active('isf_sc_b') |
|---|
| 408 | ENDIF |
|---|
| 409 | |
|---|
| 410 | |
|---|
| 411 | END SUBROUTINE sbc_isf_init |
|---|
| 412 | |
|---|
| 413 | |
|---|
| 414 | SUBROUTINE sbc_isf_bg03(kt) |
|---|
| 415 | !!--------------------------------------------------------------------- |
|---|
| 416 | !! *** ROUTINE sbc_isf_bg03 *** |
|---|
| 417 | !! |
|---|
| 418 | !! ** Purpose : add net heat and fresh water flux from ice shelf melting |
|---|
| 419 | !! into the adjacent ocean |
|---|
| 420 | !! |
|---|
| 421 | !! ** Method : See reference |
|---|
| 422 | !! |
|---|
| 423 | !! ** Reference : Beckmann and Goosse (2003), "A parameterization of ice shelf-ocean |
|---|
| 424 | !! interaction for climate models", Ocean Modelling 5(2003) 157-170. |
|---|
| 425 | !! (hereafter BG) |
|---|
| 426 | !! History : 06-02 (C. Wang) Original code |
|---|
| 427 | !!---------------------------------------------------------------------- |
|---|
| 428 | INTEGER, INTENT ( in ) :: kt |
|---|
| 429 | ! |
|---|
| 430 | INTEGER :: ji, jj, jk ! dummy loop index |
|---|
| 431 | INTEGER :: ik ! current level |
|---|
| 432 | REAL(wp) :: zt_sum ! sum of the temperature between 200m and 600m |
|---|
| 433 | REAL(wp) :: zt_ave ! averaged temperature between 200m and 600m |
|---|
| 434 | REAL(wp) :: zt_frz ! freezing point temperature at depth z |
|---|
| 435 | REAL(wp) :: zpress ! pressure to compute the freezing point in depth |
|---|
| 436 | !!---------------------------------------------------------------------- |
|---|
| 437 | ! |
|---|
| 438 | DO ji = 1, jpi |
|---|
| 439 | DO jj = 1, jpj |
|---|
| 440 | ik = misfkt(ji,jj) |
|---|
| 441 | !! Initialize arrays to 0 (each step) |
|---|
| 442 | zt_sum = 0.e0_wp |
|---|
| 443 | IF ( ik > 1 ) THEN |
|---|
| 444 | ! 1. -----------the average temperature between 200m and 600m --------------------- |
|---|
| 445 | DO jk = misfkt(ji,jj),misfkb(ji,jj) |
|---|
| 446 | ! Calculate freezing temperature |
|---|
| 447 | zpress = grav*rau0*gdept_n(ji,jj,ik)*1.e-04 |
|---|
| 448 | CALL eos_fzp(stbl(ji,jj), zt_frz, zpress) |
|---|
| 449 | zt_sum = zt_sum + (tsn(ji,jj,jk,jp_tem)-zt_frz) * e3t_n(ji,jj,jk) * tmask(ji,jj,jk) ! sum temp |
|---|
| 450 | END DO |
|---|
| 451 | zt_ave = zt_sum/rhisf_tbl(ji,jj) ! calcul mean value |
|---|
| 452 | ! 2. ------------Net heat flux and fresh water flux due to the ice shelf |
|---|
| 453 | ! For those corresponding to zonal boundary |
|---|
| 454 | qisf(ji,jj) = - rau0 * rcp * rn_gammat0 * risfLeff(ji,jj) * e1t(ji,jj) * zt_ave & |
|---|
| 455 | & * r1_e1e2t(ji,jj) * tmask(ji,jj,jk) |
|---|
| 456 | |
|---|
| 457 | fwfisf(ji,jj) = qisf(ji,jj) / rLfusisf !fresh water flux kg/(m2s) |
|---|
| 458 | fwfisf(ji,jj) = fwfisf(ji,jj) * ( soce / stbl(ji,jj) ) |
|---|
| 459 | !add to salinity trend |
|---|
| 460 | ELSE |
|---|
| 461 | qisf(ji,jj) = 0._wp ; fwfisf(ji,jj) = 0._wp |
|---|
| 462 | END IF |
|---|
| 463 | END DO |
|---|
| 464 | END DO |
|---|
| 465 | ! |
|---|
| 466 | END SUBROUTINE sbc_isf_bg03 |
|---|
| 467 | |
|---|
| 468 | |
|---|
| 469 | SUBROUTINE sbc_isf_cav( kt ) |
|---|
| 470 | !!--------------------------------------------------------------------- |
|---|
| 471 | !! *** ROUTINE sbc_isf_cav *** |
|---|
| 472 | !! |
|---|
| 473 | !! ** Purpose : handle surface boundary condition under ice shelf |
|---|
| 474 | !! |
|---|
| 475 | !! ** Method : - |
|---|
| 476 | !! |
|---|
| 477 | !! ** Action : utau, vtau : remain unchanged |
|---|
| 478 | !! taum, wndm : remain unchanged |
|---|
| 479 | !! qns : update heat flux below ice shelf |
|---|
| 480 | !! emp, emps : update freshwater flux below ice shelf |
|---|
| 481 | !!--------------------------------------------------------------------- |
|---|
| 482 | INTEGER, INTENT(in) :: kt ! ocean time step |
|---|
| 483 | ! |
|---|
| 484 | INTEGER :: ji, jj ! dummy loop indices |
|---|
| 485 | INTEGER :: nit |
|---|
| 486 | LOGICAL :: lit |
|---|
| 487 | REAL(wp) :: zlamb1, zlamb2, zlamb3 |
|---|
| 488 | REAL(wp) :: zeps1,zeps2,zeps3,zeps4,zeps6,zeps7 |
|---|
| 489 | REAL(wp) :: zaqe,zbqe,zcqe,zaqer,zdis,zsfrz,zcfac |
|---|
| 490 | REAL(wp) :: zeps = 1.e-20_wp |
|---|
| 491 | REAL(wp) :: zerr |
|---|
| 492 | REAL(wp), DIMENSION(jpi,jpj) :: zfrz |
|---|
| 493 | REAL(wp), DIMENSION(jpi,jpj) :: zgammat, zgammas |
|---|
| 494 | REAL(wp), DIMENSION(jpi,jpj) :: zfwflx, zhtflx, zhtflx_b |
|---|
| 495 | !!--------------------------------------------------------------------- |
|---|
| 496 | ! |
|---|
| 497 | ! coeficient for linearisation of potential tfreez |
|---|
| 498 | ! Crude approximation for pressure (but commonly used) |
|---|
| 499 | IF ( l_useCT ) THEN ! linearisation from Jourdain et al. (2017) |
|---|
| 500 | zlamb1 =-0.0564_wp |
|---|
| 501 | zlamb2 = 0.0773_wp |
|---|
| 502 | zlamb3 =-7.8633e-8 * grav * rau0 |
|---|
| 503 | ELSE ! linearisation from table 4 (Asay-Davis et al., 2015) |
|---|
| 504 | zlamb1 =-0.0573_wp |
|---|
| 505 | zlamb2 = 0.0832_wp |
|---|
| 506 | zlamb3 =-7.53e-8 * grav * rau0 |
|---|
| 507 | ENDIF |
|---|
| 508 | ! |
|---|
| 509 | ! initialisation |
|---|
| 510 | zgammat(:,:) = rn_gammat0 ; zgammas (:,:) = rn_gammas0 |
|---|
| 511 | zhtflx (:,:) = 0.0_wp ; zhtflx_b(:,:) = 0.0_wp |
|---|
| 512 | zfwflx (:,:) = 0.0_wp |
|---|
| 513 | |
|---|
| 514 | ! compute ice shelf melting |
|---|
| 515 | nit = 1 ; lit = .TRUE. |
|---|
| 516 | DO WHILE ( lit ) ! maybe just a constant number of iteration as in blk_core is fine |
|---|
| 517 | SELECT CASE ( nn_isfblk ) |
|---|
| 518 | CASE ( 1 ) ! ISOMIP formulation (2 equations) for volume flux (Hunter et al., 2006) |
|---|
| 519 | ! Calculate freezing temperature |
|---|
| 520 | CALL eos_fzp( stbl(:,:), zfrz(:,:), risfdep(:,:) ) |
|---|
| 521 | |
|---|
| 522 | ! compute gammat every where (2d) |
|---|
| 523 | CALL sbc_isf_gammats(zgammat, zgammas, zhtflx, zfwflx) |
|---|
| 524 | |
|---|
| 525 | ! compute upward heat flux zhtflx and upward water flux zwflx |
|---|
| 526 | DO jj = 1, jpj |
|---|
| 527 | DO ji = 1, jpi |
|---|
| 528 | zhtflx(ji,jj) = zgammat(ji,jj)*rcp*rau0*(ttbl(ji,jj)-zfrz(ji,jj)) |
|---|
| 529 | zfwflx(ji,jj) = - zhtflx(ji,jj)/rLfusisf |
|---|
| 530 | END DO |
|---|
| 531 | END DO |
|---|
| 532 | |
|---|
| 533 | ! Compute heat flux and upward fresh water flux |
|---|
| 534 | qisf (:,:) = - zhtflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:) |
|---|
| 535 | fwfisf(:,:) = zfwflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:) |
|---|
| 536 | |
|---|
| 537 | CASE ( 2 ) ! ISOMIP+ formulation (3 equations) for volume flux (Asay-Davis et al., 2015) |
|---|
| 538 | ! compute gammat every where (2d) |
|---|
| 539 | CALL sbc_isf_gammats(zgammat, zgammas, zhtflx, zfwflx) |
|---|
| 540 | |
|---|
| 541 | ! compute upward heat flux zhtflx and upward water flux zwflx |
|---|
| 542 | ! Resolution of a 2d equation from equation 21, 22 and 23 to find Sb (Asay-Davis et al., 2015) |
|---|
| 543 | DO jj = 1, jpj |
|---|
| 544 | DO ji = 1, jpi |
|---|
| 545 | ! compute coeficient to solve the 2nd order equation |
|---|
| 546 | zeps1 = rcp*rau0*zgammat(ji,jj) |
|---|
| 547 | zeps2 = rLfusisf*rau0*zgammas(ji,jj) |
|---|
| 548 | zeps3 = rhoisf*rcpisf*rkappa/MAX(risfdep(ji,jj),zeps) |
|---|
| 549 | zeps4 = zlamb2+zlamb3*risfdep(ji,jj) |
|---|
| 550 | zeps6 = zeps4-ttbl(ji,jj) |
|---|
| 551 | zeps7 = zeps4-tsurf |
|---|
| 552 | zaqe = zlamb1 * (zeps1 + zeps3) |
|---|
| 553 | zaqer = 0.5_wp/MIN(zaqe,-zeps) |
|---|
| 554 | zbqe = zeps1*zeps6+zeps3*zeps7-zeps2 |
|---|
| 555 | zcqe = zeps2*stbl(ji,jj) |
|---|
| 556 | zdis = zbqe*zbqe-4.0_wp*zaqe*zcqe |
|---|
| 557 | |
|---|
| 558 | ! Presumably zdis can never be negative because gammas is very small compared to gammat |
|---|
| 559 | ! compute s freeze |
|---|
| 560 | zsfrz=(-zbqe-SQRT(zdis))*zaqer |
|---|
| 561 | IF ( zsfrz < 0.0_wp ) zsfrz=(-zbqe+SQRT(zdis))*zaqer |
|---|
| 562 | |
|---|
| 563 | ! compute t freeze (eq. 22) |
|---|
| 564 | zfrz(ji,jj)=zeps4+zlamb1*zsfrz |
|---|
| 565 | |
|---|
| 566 | ! zfwflx is upward water flux |
|---|
| 567 | ! zhtflx is upward heat flux (out of ocean) |
|---|
| 568 | ! compute the upward water and heat flux (eq. 28 and eq. 29) |
|---|
| 569 | zfwflx(ji,jj) = rau0 * zgammas(ji,jj) * (zsfrz-stbl(ji,jj)) / MAX(zsfrz,zeps) |
|---|
| 570 | zhtflx(ji,jj) = zgammat(ji,jj) * rau0 * rcp * (ttbl(ji,jj) - zfrz(ji,jj) ) |
|---|
| 571 | END DO |
|---|
| 572 | END DO |
|---|
| 573 | |
|---|
| 574 | ! compute heat and water flux |
|---|
| 575 | qisf (:,:) = - zhtflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:) |
|---|
| 576 | fwfisf(:,:) = zfwflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:) |
|---|
| 577 | |
|---|
| 578 | END SELECT |
|---|
| 579 | |
|---|
| 580 | ! define if we need to iterate (nn_gammablk 0/1 do not need iteration) |
|---|
| 581 | IF ( nn_gammablk < 2 ) THEN ; lit = .FALSE. |
|---|
| 582 | ELSE |
|---|
| 583 | ! check total number of iteration |
|---|
| 584 | IF (nit >= 100) THEN ; CALL ctl_stop( 'STOP', 'sbc_isf_hol99 : too many iteration ...' ) |
|---|
| 585 | ELSE ; nit = nit + 1 |
|---|
| 586 | END IF |
|---|
| 587 | |
|---|
| 588 | ! compute error between 2 iterations |
|---|
| 589 | ! if needed save gammat and compute zhtflx_b for next iteration |
|---|
| 590 | zerr = MAXVAL(ABS(zhtflx-zhtflx_b)) |
|---|
| 591 | IF ( zerr <= 0.01_wp ) THEN ; lit = .FALSE. |
|---|
| 592 | ELSE ; zhtflx_b(:,:) = zhtflx(:,:) |
|---|
| 593 | END IF |
|---|
| 594 | END IF |
|---|
| 595 | END DO |
|---|
| 596 | ! |
|---|
| 597 | CALL iom_put('isfgammat', zgammat) |
|---|
| 598 | CALL iom_put('isfgammas', zgammas) |
|---|
| 599 | ! |
|---|
| 600 | END SUBROUTINE sbc_isf_cav |
|---|
| 601 | |
|---|
| 602 | |
|---|
| 603 | SUBROUTINE sbc_isf_gammats(pgt, pgs, pqhisf, pqwisf ) |
|---|
| 604 | !!---------------------------------------------------------------------- |
|---|
| 605 | !! ** Purpose : compute the coefficient echange for heat flux |
|---|
| 606 | !! |
|---|
| 607 | !! ** Method : gamma assume constant or depends of u* and stability |
|---|
| 608 | !! |
|---|
| 609 | !! ** References : Holland and Jenkins, 1999, JPO, p1787-1800, eq 14 |
|---|
| 610 | !! Jenkins et al., 2010, JPO, p2298-2312 |
|---|
| 611 | !!--------------------------------------------------------------------- |
|---|
| 612 | REAL(wp), DIMENSION(:,:), INTENT( out) :: pgt , pgs ! |
|---|
| 613 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pqhisf, pqwisf ! |
|---|
| 614 | ! |
|---|
| 615 | INTEGER :: ji, jj ! loop index |
|---|
| 616 | INTEGER :: ikt ! local integer |
|---|
| 617 | REAL(wp) :: zdku, zdkv ! U, V shear |
|---|
| 618 | REAL(wp) :: zPr, zSc, zRc ! Prandtl, Scmidth and Richardson number |
|---|
| 619 | REAL(wp) :: zmob, zmols ! Monin Obukov length, coriolis factor at T point |
|---|
| 620 | REAL(wp) :: zbuofdep, zhnu ! Bouyancy length scale, sublayer tickness |
|---|
| 621 | REAL(wp) :: zhmax ! limitation of mol |
|---|
| 622 | REAL(wp) :: zetastar ! stability parameter |
|---|
| 623 | REAL(wp) :: zgmolet, zgmoles, zgturb ! contribution of modelecular sublayer and turbulence |
|---|
| 624 | REAL(wp) :: zcoef ! temporary coef |
|---|
| 625 | REAL(wp) :: zdep |
|---|
| 626 | REAL(wp) :: zeps = 1.0e-20_wp |
|---|
| 627 | REAL(wp), PARAMETER :: zxsiN = 0.052_wp ! dimensionless constant |
|---|
| 628 | REAL(wp), PARAMETER :: znu = 1.95e-6_wp ! kinamatic viscosity of sea water (m2.s-1) |
|---|
| 629 | REAL(wp), DIMENSION(2) :: zts, zab |
|---|
| 630 | REAL(wp), DIMENSION(jpi,jpj) :: zustar ! U, V at T point and friction velocity |
|---|
| 631 | !!--------------------------------------------------------------------- |
|---|
| 632 | ! |
|---|
| 633 | SELECT CASE ( nn_gammablk ) |
|---|
| 634 | CASE ( 0 ) ! gamma is constant (specified in namelist) |
|---|
| 635 | !! ISOMIP formulation (Hunter et al, 2006) |
|---|
| 636 | pgt(:,:) = rn_gammat0 |
|---|
| 637 | pgs(:,:) = rn_gammas0 |
|---|
| 638 | |
|---|
| 639 | CASE ( 1 ) ! gamma is assume to be proportional to u* |
|---|
| 640 | !! Jenkins et al., 2010, JPO, p2298-2312 |
|---|
| 641 | !! Adopted by Asay-Davis et al. (2015) |
|---|
| 642 | !! compute ustar (eq. 24) |
|---|
| 643 | !!gm NB use pCdU here so that it will incorporate local boost of Cd0 and log layer case : |
|---|
| 644 | !! zustar(:,:) = SQRT( rCdU_top(:,:) * SQRT(utbl(:,:) * utbl(:,:) + vtbl(:,:) * vtbl(:,:) + r_ke0_top) ) |
|---|
| 645 | !! or better : compute ustar in zdfdrg and use it here as well as in TKE, GLS and Co |
|---|
| 646 | !! |
|---|
| 647 | !! ===>>>> GM to be done this chrismas |
|---|
| 648 | !! |
|---|
| 649 | !!gm end |
|---|
| 650 | zustar(:,:) = SQRT( r_Cdmin_top * (utbl(:,:) * utbl(:,:) + vtbl(:,:) * vtbl(:,:) + r_ke0_top) ) |
|---|
| 651 | |
|---|
| 652 | !! Compute gammats |
|---|
| 653 | pgt(:,:) = zustar(:,:) * rn_gammat0 |
|---|
| 654 | pgs(:,:) = zustar(:,:) * rn_gammas0 |
|---|
| 655 | |
|---|
| 656 | CASE ( 2 ) ! gamma depends of stability of boundary layer |
|---|
| 657 | !! Holland and Jenkins, 1999, JPO, p1787-1800, eq 14 |
|---|
| 658 | !! as MOL depends of flux and flux depends of MOL, best will be iteration (TO DO) |
|---|
| 659 | !! compute ustar |
|---|
| 660 | zustar(:,:) = SQRT( r_Cdmin_top * (utbl(:,:) * utbl(:,:) + vtbl(:,:) * vtbl(:,:) + r_ke0_top) ) |
|---|
| 661 | |
|---|
| 662 | !! compute Pr and Sc number (can be improved) |
|---|
| 663 | zPr = 13.8_wp |
|---|
| 664 | zSc = 2432.0_wp |
|---|
| 665 | |
|---|
| 666 | !! compute gamma mole |
|---|
| 667 | zgmolet = 12.5_wp * zPr ** (2.0/3.0) - 6.0_wp |
|---|
| 668 | zgmoles = 12.5_wp * zSc ** (2.0/3.0) - 6.0_wp |
|---|
| 669 | |
|---|
| 670 | !! compute gamma |
|---|
| 671 | DO ji = 2, jpi |
|---|
| 672 | DO jj = 2, jpj |
|---|
| 673 | ikt = mikt(ji,jj) |
|---|
| 674 | |
|---|
| 675 | IF( zustar(ji,jj) == 0._wp ) THEN ! only for kt = 1 I think |
|---|
| 676 | pgt = rn_gammat0 |
|---|
| 677 | pgs = rn_gammas0 |
|---|
| 678 | ELSE |
|---|
| 679 | !! compute Rc number (as done in zdfric.F90) |
|---|
| 680 | !!gm better to do it like in the new zdfric.F90 i.e. avm weighted Ri computation |
|---|
| 681 | !!gm moreover, use Max(rn2,0) to take care of static instabilities.... |
|---|
| 682 | zcoef = 0.5_wp / e3w_n(ji,jj,ikt+1) |
|---|
| 683 | ! ! shear of horizontal velocity |
|---|
| 684 | zdku = zcoef * ( un(ji-1,jj ,ikt ) + un(ji,jj,ikt ) & |
|---|
| 685 | & -un(ji-1,jj ,ikt+1) - un(ji,jj,ikt+1) ) |
|---|
| 686 | zdkv = zcoef * ( vn(ji ,jj-1,ikt ) + vn(ji,jj,ikt ) & |
|---|
| 687 | & -vn(ji ,jj-1,ikt+1) - vn(ji,jj,ikt+1) ) |
|---|
| 688 | ! ! richardson number (minimum value set to zero) |
|---|
| 689 | zRc = rn2(ji,jj,ikt+1) / MAX( zdku*zdku + zdkv*zdkv, zeps ) |
|---|
| 690 | |
|---|
| 691 | !! compute bouyancy |
|---|
| 692 | zts(jp_tem) = ttbl(ji,jj) |
|---|
| 693 | zts(jp_sal) = stbl(ji,jj) |
|---|
| 694 | zdep = gdepw_n(ji,jj,ikt) |
|---|
| 695 | ! |
|---|
| 696 | CALL eos_rab( zts, zdep, zab ) |
|---|
| 697 | ! |
|---|
| 698 | !! compute length scale |
|---|
| 699 | zbuofdep = grav * ( zab(jp_tem) * pqhisf(ji,jj) - zab(jp_sal) * pqwisf(ji,jj) ) !!!!!!!!!!!!!!!!!!!!!!!!!!!! |
|---|
| 700 | |
|---|
| 701 | !! compute Monin Obukov Length |
|---|
| 702 | ! Maximum boundary layer depth |
|---|
| 703 | zhmax = gdept_n(ji,jj,mbkt(ji,jj)) - gdepw_n(ji,jj,mikt(ji,jj)) -0.001_wp |
|---|
| 704 | ! Compute Monin obukhov length scale at the surface and Ekman depth: |
|---|
| 705 | zmob = zustar(ji,jj) ** 3 / (vkarmn * (zbuofdep + zeps)) |
|---|
| 706 | zmols = SIGN(1._wp, zmob) * MIN(ABS(zmob), zhmax) * tmask(ji,jj,ikt) |
|---|
| 707 | |
|---|
| 708 | !! compute eta* (stability parameter) |
|---|
| 709 | zetastar = 1._wp / ( SQRT(1._wp + MAX(zxsiN * zustar(ji,jj) / ( ABS(ff_f(ji,jj)) * zmols * zRc ), 0._wp))) |
|---|
| 710 | |
|---|
| 711 | !! compute the sublayer thickness |
|---|
| 712 | zhnu = 5 * znu / zustar(ji,jj) |
|---|
| 713 | |
|---|
| 714 | !! compute gamma turb |
|---|
| 715 | zgturb = 1._wp / vkarmn * LOG(zustar(ji,jj) * zxsiN * zetastar * zetastar / ( ABS(ff_f(ji,jj)) * zhnu )) & |
|---|
| 716 | & + 1._wp / ( 2 * zxsiN * zetastar ) - 1._wp / vkarmn |
|---|
| 717 | |
|---|
| 718 | !! compute gammats |
|---|
| 719 | pgt(ji,jj) = zustar(ji,jj) / (zgturb + zgmolet) |
|---|
| 720 | pgs(ji,jj) = zustar(ji,jj) / (zgturb + zgmoles) |
|---|
| 721 | END IF |
|---|
| 722 | END DO |
|---|
| 723 | END DO |
|---|
| 724 | CALL lbc_lnk_multi( 'sbcisf', pgt, 'T', 1., pgs, 'T', 1.) |
|---|
| 725 | END SELECT |
|---|
| 726 | ! |
|---|
| 727 | END SUBROUTINE sbc_isf_gammats |
|---|
| 728 | |
|---|
| 729 | |
|---|
| 730 | SUBROUTINE sbc_isf_tbl( pvarin, pvarout, cd_ptin ) |
|---|
| 731 | !!---------------------------------------------------------------------- |
|---|
| 732 | !! *** SUBROUTINE sbc_isf_tbl *** |
|---|
| 733 | !! |
|---|
| 734 | !! ** Purpose : compute mean T/S/U/V in the boundary layer at T- point |
|---|
| 735 | !! |
|---|
| 736 | !!---------------------------------------------------------------------- |
|---|
| 737 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pvarin |
|---|
| 738 | REAL(wp), DIMENSION(:,:) , INTENT( out) :: pvarout |
|---|
| 739 | CHARACTER(len=1), INTENT(in ) :: cd_ptin ! point of variable in/out |
|---|
| 740 | ! |
|---|
| 741 | INTEGER :: ji, jj, jk ! loop index |
|---|
| 742 | INTEGER :: ikt, ikb ! top and bottom index of the tbl |
|---|
| 743 | REAL(wp) :: ze3, zhk |
|---|
| 744 | REAL(wp), DIMENSION(jpi,jpj) :: zhisf_tbl ! thickness of the tbl |
|---|
| 745 | REAL(wp), DIMENSION(jpi,jpj) :: zvarout |
|---|
| 746 | !!---------------------------------------------------------------------- |
|---|
| 747 | |
|---|
| 748 | ! initialisation |
|---|
| 749 | pvarout(:,:)=0._wp |
|---|
| 750 | |
|---|
| 751 | SELECT CASE ( cd_ptin ) |
|---|
| 752 | CASE ( 'U' ) ! compute U in the top boundary layer at T- point |
|---|
| 753 | ! |
|---|
| 754 | zvarout(:,:)=0._wp |
|---|
| 755 | ! |
|---|
| 756 | DO jj = 1,jpj |
|---|
| 757 | DO ji = 1,jpi |
|---|
| 758 | ikt = miku(ji,jj) ; ikb = miku(ji,jj) |
|---|
| 759 | ! thickness of boundary layer at least the top level thickness |
|---|
| 760 | zhisf_tbl(ji,jj) = MAX( rhisf_tbl_0(ji,jj) , e3u_n(ji,jj,ikt) ) |
|---|
| 761 | |
|---|
| 762 | ! determine the deepest level influenced by the boundary layer |
|---|
| 763 | DO jk = ikt+1, mbku(ji,jj) |
|---|
| 764 | IF ( (SUM(e3u_n(ji,jj,ikt:jk-1)) < zhisf_tbl(ji,jj)) .AND. (umask(ji,jj,jk) == 1) ) ikb = jk |
|---|
| 765 | END DO |
|---|
| 766 | zhisf_tbl(ji,jj) = MIN(zhisf_tbl(ji,jj), SUM(e3u_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness. |
|---|
| 767 | |
|---|
| 768 | ! level fully include in the ice shelf boundary layer |
|---|
| 769 | DO jk = ikt, ikb - 1 |
|---|
| 770 | ze3 = e3u_n(ji,jj,jk) |
|---|
| 771 | zvarout(ji,jj) = zvarout(ji,jj) + pvarin(ji,jj,jk) / zhisf_tbl(ji,jj) * ze3 |
|---|
| 772 | END DO |
|---|
| 773 | |
|---|
| 774 | ! level partially include in ice shelf boundary layer |
|---|
| 775 | zhk = SUM( e3u_n(ji, jj, ikt:ikb - 1)) / zhisf_tbl(ji,jj) |
|---|
| 776 | zvarout(ji,jj) = zvarout(ji,jj) + pvarin(ji,jj,ikb) * (1._wp - zhk) |
|---|
| 777 | END DO |
|---|
| 778 | END DO |
|---|
| 779 | DO jj = 2, jpj |
|---|
| 780 | DO ji = 2, jpi |
|---|
| 781 | !!gm a wet-point only average should be used here !!! |
|---|
| 782 | pvarout(ji,jj) = 0.5_wp * (zvarout(ji,jj) + zvarout(ji-1,jj)) |
|---|
| 783 | END DO |
|---|
| 784 | END DO |
|---|
| 785 | CALL lbc_lnk('sbcisf', pvarout,'T',-1.) |
|---|
| 786 | |
|---|
| 787 | CASE ( 'V' ) ! compute V in the top boundary layer at T- point |
|---|
| 788 | ! |
|---|
| 789 | zvarout(:,:)=0._wp |
|---|
| 790 | ! |
|---|
| 791 | DO jj = 1,jpj |
|---|
| 792 | DO ji = 1,jpi |
|---|
| 793 | ikt = mikv(ji,jj) ; ikb = mikv(ji,jj) |
|---|
| 794 | ! thickness of boundary layer at least the top level thickness |
|---|
| 795 | zhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), e3v_n(ji,jj,ikt)) |
|---|
| 796 | |
|---|
| 797 | ! determine the deepest level influenced by the boundary layer |
|---|
| 798 | DO jk = ikt+1, mbkv(ji,jj) |
|---|
| 799 | IF ( (SUM(e3v_n(ji,jj,ikt:jk-1)) < zhisf_tbl(ji,jj)) .AND. (vmask(ji,jj,jk) == 1) ) ikb = jk |
|---|
| 800 | END DO |
|---|
| 801 | zhisf_tbl(ji,jj) = MIN(zhisf_tbl(ji,jj), SUM(e3v_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness. |
|---|
| 802 | |
|---|
| 803 | ! level fully include in the ice shelf boundary layer |
|---|
| 804 | DO jk = ikt, ikb - 1 |
|---|
| 805 | ze3 = e3v_n(ji,jj,jk) |
|---|
| 806 | zvarout(ji,jj) = zvarout(ji,jj) + pvarin(ji,jj,jk) / zhisf_tbl(ji,jj) * ze3 |
|---|
| 807 | END DO |
|---|
| 808 | |
|---|
| 809 | ! level partially include in ice shelf boundary layer |
|---|
| 810 | zhk = SUM( e3v_n(ji, jj, ikt:ikb - 1)) / zhisf_tbl(ji,jj) |
|---|
| 811 | zvarout(ji,jj) = zvarout(ji,jj) + pvarin(ji,jj,ikb) * (1._wp - zhk) |
|---|
| 812 | END DO |
|---|
| 813 | END DO |
|---|
| 814 | DO jj = 2, jpj |
|---|
| 815 | DO ji = 2, jpi |
|---|
| 816 | !!gm a wet-point only average should be used here !!! |
|---|
| 817 | pvarout(ji,jj) = 0.5_wp * (zvarout(ji,jj) + zvarout(ji,jj-1)) |
|---|
| 818 | END DO |
|---|
| 819 | END DO |
|---|
| 820 | CALL lbc_lnk('sbcisf', pvarout,'T',-1.) |
|---|
| 821 | |
|---|
| 822 | CASE ( 'T' ) ! compute T in the top boundary layer at T- point |
|---|
| 823 | DO jj = 1,jpj |
|---|
| 824 | DO ji = 1,jpi |
|---|
| 825 | ikt = misfkt(ji,jj) |
|---|
| 826 | ikb = misfkb(ji,jj) |
|---|
| 827 | |
|---|
| 828 | ! level fully include in the ice shelf boundary layer |
|---|
| 829 | DO jk = ikt, ikb - 1 |
|---|
| 830 | ze3 = e3t_n(ji,jj,jk) |
|---|
| 831 | pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,jk) * r1_hisf_tbl(ji,jj) * ze3 |
|---|
| 832 | END DO |
|---|
| 833 | |
|---|
| 834 | ! level partially include in ice shelf boundary layer |
|---|
| 835 | zhk = SUM( e3t_n(ji, jj, ikt:ikb - 1)) * r1_hisf_tbl(ji,jj) |
|---|
| 836 | pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,ikb) * (1._wp - zhk) |
|---|
| 837 | END DO |
|---|
| 838 | END DO |
|---|
| 839 | END SELECT |
|---|
| 840 | ! |
|---|
| 841 | ! mask mean tbl value |
|---|
| 842 | pvarout(:,:) = pvarout(:,:) * ssmask(:,:) |
|---|
| 843 | ! |
|---|
| 844 | END SUBROUTINE sbc_isf_tbl |
|---|
| 845 | |
|---|
| 846 | |
|---|
| 847 | SUBROUTINE sbc_isf_div( phdivn ) |
|---|
| 848 | !!---------------------------------------------------------------------- |
|---|
| 849 | !! *** SUBROUTINE sbc_isf_div *** |
|---|
| 850 | !! |
|---|
| 851 | !! ** Purpose : update the horizontal divergence with the runoff inflow |
|---|
| 852 | !! |
|---|
| 853 | !! ** Method : |
|---|
| 854 | !! CAUTION : risf_tsc(:,:,jp_sal) is negative (outflow) increase the |
|---|
| 855 | !! divergence and expressed in m/s |
|---|
| 856 | !! |
|---|
| 857 | !! ** Action : phdivn decreased by the runoff inflow |
|---|
| 858 | !!---------------------------------------------------------------------- |
|---|
| 859 | REAL(wp), DIMENSION(:,:,:), INTENT( inout ) :: phdivn ! horizontal divergence |
|---|
| 860 | ! |
|---|
| 861 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 862 | INTEGER :: ikt, ikb |
|---|
| 863 | REAL(wp) :: zhk |
|---|
| 864 | REAL(wp) :: zfact ! local scalar |
|---|
| 865 | !!---------------------------------------------------------------------- |
|---|
| 866 | ! |
|---|
| 867 | zfact = 0.5_wp |
|---|
| 868 | ! |
|---|
| 869 | IF(.NOT.ln_linssh ) THEN ! need to re compute level distribution of isf fresh water |
|---|
| 870 | DO jj = 1,jpj |
|---|
| 871 | DO ji = 1,jpi |
|---|
| 872 | ikt = misfkt(ji,jj) |
|---|
| 873 | ikb = misfkt(ji,jj) |
|---|
| 874 | ! thickness of boundary layer at least the top level thickness |
|---|
| 875 | rhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), e3t_n(ji,jj,ikt)) |
|---|
| 876 | |
|---|
| 877 | ! determine the deepest level influenced by the boundary layer |
|---|
| 878 | DO jk = ikt, mbkt(ji,jj) |
|---|
| 879 | IF ( (SUM(e3t_n(ji,jj,ikt:jk-1)) .LT. rhisf_tbl(ji,jj)) .AND. (tmask(ji,jj,jk) == 1) ) ikb = jk |
|---|
| 880 | END DO |
|---|
| 881 | rhisf_tbl(ji,jj) = MIN(rhisf_tbl(ji,jj), SUM(e3t_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness. |
|---|
| 882 | misfkb(ji,jj) = ikb ! last wet level of the tbl |
|---|
| 883 | r1_hisf_tbl(ji,jj) = 1._wp / rhisf_tbl(ji,jj) |
|---|
| 884 | |
|---|
| 885 | zhk = SUM( e3t_n(ji, jj, ikt:ikb - 1)) * r1_hisf_tbl(ji,jj) ! proportion of tbl cover by cell from ikt to ikb - 1 |
|---|
| 886 | ralpha(ji,jj) = rhisf_tbl(ji,jj) * (1._wp - zhk ) / e3t_n(ji,jj,ikb) ! proportion of bottom cell influenced by boundary layer |
|---|
| 887 | END DO |
|---|
| 888 | END DO |
|---|
| 889 | END IF |
|---|
| 890 | ! |
|---|
| 891 | !== ice shelf melting distributed over several levels ==! |
|---|
| 892 | DO jj = 1,jpj |
|---|
| 893 | DO ji = 1,jpi |
|---|
| 894 | ikt = misfkt(ji,jj) |
|---|
| 895 | ikb = misfkb(ji,jj) |
|---|
| 896 | ! level fully include in the ice shelf boundary layer |
|---|
| 897 | DO jk = ikt, ikb - 1 |
|---|
| 898 | phdivn(ji,jj,jk) = phdivn(ji,jj,jk) + ( fwfisf(ji,jj) + fwfisf_b(ji,jj) ) & |
|---|
| 899 | & * r1_hisf_tbl(ji,jj) * r1_rau0 * zfact |
|---|
| 900 | END DO |
|---|
| 901 | ! level partially include in ice shelf boundary layer |
|---|
| 902 | phdivn(ji,jj,ikb) = phdivn(ji,jj,ikb) + ( fwfisf(ji,jj) & |
|---|
| 903 | & + fwfisf_b(ji,jj) ) * r1_hisf_tbl(ji,jj) * r1_rau0 * zfact * ralpha(ji,jj) |
|---|
| 904 | END DO |
|---|
| 905 | END DO |
|---|
| 906 | ! |
|---|
| 907 | END SUBROUTINE sbc_isf_div |
|---|
| 908 | |
|---|
| 909 | !!====================================================================== |
|---|
| 910 | END MODULE sbcisf |
|---|
