[4666] | 1 | MODULE sbcisf |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE sbcisf *** |
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| 4 | !! Surface module : update surface ocean boundary condition under ice |
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| 5 | !! shelf |
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| 6 | !!====================================================================== |
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| 7 | !! History : 3.2 ! 2011-02 (C.Harris ) Original code isf cav |
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| 8 | !! X.X ! 2006-02 (C. Wang ) Original code bg03 |
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[5120] | 9 | !! 3.4 ! 2013-03 (P. Mathiot) Merging + parametrization |
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[4666] | 10 | !!---------------------------------------------------------------------- |
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| 11 | |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | !! sbc_isf : update sbc under ice shelf |
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| 14 | !!---------------------------------------------------------------------- |
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| 15 | USE oce ! ocean dynamics and tracers |
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| 16 | USE dom_oce ! ocean space and time domain |
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| 17 | USE phycst ! physical constants |
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| 18 | USE eosbn2 ! equation of state |
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| 19 | USE sbc_oce ! surface boundary condition: ocean fields |
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[5836] | 20 | USE zdfbfr ! |
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| 21 | ! |
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| 22 | USE in_out_manager ! I/O manager |
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| 23 | USE iom ! I/O manager library |
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| 24 | USE fldread ! read input field at current time step |
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[4666] | 25 | USE lbclnk ! |
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| 26 | USE wrk_nemo ! Memory allocation |
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| 27 | USE timing ! Timing |
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| 28 | USE lib_fortran ! glob_sum |
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| 29 | |
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| 30 | IMPLICIT NONE |
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| 31 | PRIVATE |
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| 32 | |
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[5836] | 33 | PUBLIC sbc_isf, sbc_isf_div, sbc_isf_alloc ! routine called in sbcmod and divhor |
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[4666] | 34 | |
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| 35 | ! public in order to be able to output then |
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| 36 | |
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[6140] | 37 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: risf_tsc_b, risf_tsc !: before and now T & S isf contents [K.m/s & PSU.m/s] |
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| 38 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: qisf !: net heat flux from ice shelf [W/m2] |
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[4666] | 39 | REAL(wp), PUBLIC :: rn_hisf_tbl !: thickness of top boundary layer [m] |
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[6140] | 40 | INTEGER , PUBLIC :: nn_isf !: flag to choose between explicit/param/specified |
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| 41 | INTEGER , PUBLIC :: nn_isfblk !: flag to choose the bulk formulation to compute the ice shelf melting |
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| 42 | INTEGER , PUBLIC :: nn_gammablk !: flag to choose how the exchange coefficient is computed |
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| 43 | REAL(wp), PUBLIC :: rn_gammat0 !: temperature exchange coeficient [] |
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| 44 | REAL(wp), PUBLIC :: rn_gammas0 !: salinity exchange coeficient [] |
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[4666] | 45 | |
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[4924] | 46 | REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: rzisf_tbl !:depth of calving front (shallowest point) nn_isf ==2/3 |
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[6140] | 47 | REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: rhisf_tbl, rhisf_tbl_0 !:thickness of tbl [m] |
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[4924] | 48 | REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: r1_hisf_tbl !:1/thickness of tbl |
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| 49 | REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: ralpha !:proportion of bottom cell influenced by tbl |
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| 50 | REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: risfLeff !:effective length (Leff) BG03 nn_isf==2 |
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[4666] | 51 | REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: ttbl, stbl, utbl, vtbl !:top boundary layer variable at T point |
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[6140] | 52 | INTEGER, PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: misfkt, misfkb !:Level of ice shelf base |
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[4666] | 53 | |
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[6140] | 54 | REAL(wp), PUBLIC, SAVE :: rcpi = 2000.0_wp ! specific heat of ice shelf [J/kg/K] |
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| 55 | REAL(wp), PUBLIC, SAVE :: rkappa = 1.54e-6_wp ! heat diffusivity through the ice-shelf [m2/s] |
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| 56 | REAL(wp), PUBLIC, SAVE :: rhoisf = 920.0_wp ! volumic mass of ice shelf [kg/m3] |
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| 57 | REAL(wp), PUBLIC, SAVE :: tsurf = -20.0_wp ! air temperature on top of ice shelf [C] |
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| 58 | REAL(wp), PUBLIC, SAVE :: rlfusisf = 0.334e6_wp ! latent heat of fusion of ice shelf [J/kg] |
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[4666] | 59 | |
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| 60 | !: Variable used in fldread to read the forcing file (nn_isf == 4 .OR. nn_isf == 3) |
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[6140] | 61 | CHARACTER(len=100), PUBLIC :: cn_dirisf = './' !: Root directory for location of ssr files |
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| 62 | TYPE(FLD_N) , PUBLIC :: sn_fwfisf !: information about the isf melting file to be read |
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| 63 | TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf_fwfisf |
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| 64 | TYPE(FLD_N) , PUBLIC :: sn_rnfisf !: information about the isf melting param. file to be read |
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| 65 | TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf_rnfisf |
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| 66 | TYPE(FLD_N) , PUBLIC :: sn_depmax_isf !: information about the grounding line depth file to be read |
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| 67 | TYPE(FLD_N) , PUBLIC :: sn_depmin_isf !: information about the calving line depth file to be read |
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| 68 | TYPE(FLD_N) , PUBLIC :: sn_Leff_isf !: information about the effective length file to be read |
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[4666] | 69 | |
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| 70 | !!---------------------------------------------------------------------- |
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[5836] | 71 | !! NEMO/OPA 3.7 , LOCEAN-IPSL (2015) |
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[5215] | 72 | !! $Id$ |
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[4666] | 73 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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| 74 | !!---------------------------------------------------------------------- |
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| 75 | CONTAINS |
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| 76 | |
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[6140] | 77 | SUBROUTINE sbc_isf(kt) |
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[5836] | 78 | !!--------------------------------------------------------------------- |
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[6140] | 79 | !! *** ROUTINE sbc_isf *** |
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| 80 | !! |
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| 81 | !! ** Purpose : Compute Salt and Heat fluxes related to ice_shelf |
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| 82 | !! melting and freezing |
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| 83 | !! |
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| 84 | !! ** Method : 4 parameterizations are available according to nn_isf |
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| 85 | !! nn_isf = 1 : Realistic ice_shelf formulation |
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| 86 | !! 2 : Beckmann & Goose parameterization |
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| 87 | !! 3 : Specified runoff in deptht (Mathiot & al. ) |
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| 88 | !! 4 : specified fwf and heat flux forcing beneath the ice shelf |
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| 89 | !!---------------------------------------------------------------------- |
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| 90 | INTEGER, INTENT( in ) :: kt ! ocean time step |
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[4666] | 91 | ! |
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[6140] | 92 | INTEGER :: ji, jj ! loop index |
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| 93 | REAL(wp), DIMENSION (:,:), POINTER :: zt_frz, zdep ! freezing temperature (zt_frz) at depth (zdep) |
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[4666] | 94 | !!--------------------------------------------------------------------- |
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| 95 | ! |
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| 96 | ! ! ====================== ! |
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| 97 | IF( kt == nit000 ) THEN ! First call kt=nit000 ! |
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| 98 | ! ! ====================== ! |
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[6140] | 99 | CALL sbc_isf_init |
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| 100 | ! ! ---------------------------------------- ! |
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| 101 | ELSE ! Swap of forcing fields ! |
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| 102 | ! ! ---------------------------------------- ! |
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| 103 | fwfisf_b (:,: ) = fwfisf (:,: ) ! Swap the ocean forcing fields except at nit000 |
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| 104 | risf_tsc_b(:,:,:) = risf_tsc(:,:,:) ! where before fields are set at the end of the routine |
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[4666] | 105 | ! |
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[4726] | 106 | END IF |
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[4666] | 107 | |
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[4726] | 108 | IF( MOD( kt-1, nn_fsbc) == 0 ) THEN |
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[6140] | 109 | ! allocation |
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| 110 | CALL wrk_alloc( jpi,jpj, zt_frz, zdep ) |
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[4726] | 111 | |
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[6140] | 112 | ! compute salt and heat flux |
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| 113 | SELECT CASE ( nn_isf ) |
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| 114 | CASE ( 1 ) ! realistic ice shelf formulation |
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[4666] | 115 | ! compute T/S/U/V for the top boundary layer |
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| 116 | CALL sbc_isf_tbl(tsn(:,:,:,jp_tem),ttbl(:,:),'T') |
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| 117 | CALL sbc_isf_tbl(tsn(:,:,:,jp_sal),stbl(:,:),'T') |
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[6140] | 118 | CALL sbc_isf_tbl(un(:,:,:) ,utbl(:,:),'U') |
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| 119 | CALL sbc_isf_tbl(vn(:,:,:) ,vtbl(:,:),'V') |
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[4666] | 120 | ! iom print |
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| 121 | CALL iom_put('ttbl',ttbl(:,:)) |
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| 122 | CALL iom_put('stbl',stbl(:,:)) |
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[6140] | 123 | CALL iom_put('utbl',utbl(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:)) |
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| 124 | CALL iom_put('vtbl',vtbl(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:)) |
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[4666] | 125 | ! compute fwf and heat flux |
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| 126 | CALL sbc_isf_cav (kt) |
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| 127 | |
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[6140] | 128 | CASE ( 2 ) ! Beckmann and Goosse parametrisation |
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[4666] | 129 | stbl(:,:) = soce |
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| 130 | CALL sbc_isf_bg03(kt) |
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| 131 | |
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[6140] | 132 | CASE ( 3 ) ! specified runoff in depth (Mathiot et al., XXXX in preparation) |
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[4666] | 133 | CALL fld_read ( kt, nn_fsbc, sf_rnfisf ) |
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[6140] | 134 | fwfisf(:,:) = - sf_rnfisf(1)%fnow(:,:,1) ! fwf flux from the isf (fwfisf <0 mean melting) |
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[6507] | 135 | |
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| 136 | IF( lk_oasis) THEN |
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| 137 | ! ln_coupled_iceshelf_fluxes uninitialised unless lk_oasis=true |
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| 138 | IF( ln_coupled_iceshelf_fluxes ) THEN |
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| 139 | |
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| 140 | ! Adjust total iceshelf melt rates so that sum of iceberg calving and iceshelf melting in the northern |
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| 141 | ! and southern hemispheres equals rate of increase of mass of greenland and antarctic ice sheets |
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| 142 | ! to preserve total freshwater conservation in coupled models without an active ice sheet model. |
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| 143 | |
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| 144 | zgreenland_fwfisf_sum = SUM( fwfisf(:,:) * e1t(:,:) * e2t(:,:) * greenland_icesheet_mask(:,:) ) |
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| 145 | IF( lk_mpp ) CALL mpp_sum( zgreenland_fwfisf_sum ) |
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| 146 | ! use ABS function because we need to preserve the sign of fwfisf |
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| 147 | WHERE( greenland_icesheet_mask(:,:) == 1.0 ) & |
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| 148 | & fwfisf(:,:) = fwfisf(:,:) * ABS( greenland_icesheet_mass_rate_of_change * (1.0-rn_greenland_calving_fraction) & |
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| 149 | & / ( zgreenland_fwfisf_sum + 1.0e-10_wp ) ) |
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| 150 | |
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| 151 | ! check |
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| 152 | IF(lwp) WRITE(numout, *) 'Greenland iceshelf melting climatology (kg/s) : ',zgreenland_fwfisf_sum |
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| 153 | zgreenland_fwfisf_sum = SUM( fwfisf(:,:) * e1t(:,:) * e2t(:,:) * greenland_icesheet_mask(:,:) ) |
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| 154 | IF( lk_mpp ) CALL mpp_sum( zgreenland_fwfisf_sum ) |
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| 155 | IF(lwp) WRITE(numout, *) 'Greenland iceshelf melting adjusted value (kg/s) : ',zgreenland_fwfisf_sum |
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| 156 | |
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| 157 | zantarctica_fwfisf_sum = SUM( fwfisf(:,:) * e1t(:,:) * e2t(:,:) * antarctica_icesheet_mask(:,:) ) |
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| 158 | IF( lk_mpp ) CALL mpp_sum( zantarctica_fwfisf_sum ) |
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| 159 | ! use ABS function because we need to preserve the sign of fwfisf |
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| 160 | WHERE( antarctica_icesheet_mask(:,:) == 1.0 ) & |
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| 161 | & fwfisf(:,:) = fwfisf(:,:) * ABS( antarctica_icesheet_mass_rate_of_change * (1.0-rn_antarctica_calving_fraction) & |
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| 162 | & / ( zantarctica_fwfisf_sum + 1.0e-10_wp ) ) |
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| 163 | |
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| 164 | ! check |
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| 165 | IF(lwp) WRITE(numout, *) 'Antarctica iceshelf melting climatology (kg/s) : ',zantarctica_fwfisf_sum |
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| 166 | zantarctica_fwfisf_sum = SUM( fwfisf(:,:) * e1t(:,:) * e2t(:,:) * antarctica_icesheet_mask(:,:) ) |
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| 167 | IF( lk_mpp ) CALL mpp_sum( zantarctica_fwfisf_sum ) |
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| 168 | IF(lwp) WRITE(numout, *) 'Antarctica iceshelf melting adjusted value (kg/s) : ',zantarctica_fwfisf_sum |
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| 169 | |
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| 170 | ENDIF |
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| 171 | ENDIF |
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| 172 | |
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[6140] | 173 | qisf(:,:) = fwfisf(:,:) * rlfusisf ! heat flux |
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[4666] | 174 | stbl(:,:) = soce |
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| 175 | |
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[6140] | 176 | CASE ( 4 ) ! specified fwf and heat flux forcing beneath the ice shelf |
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[4666] | 177 | CALL fld_read ( kt, nn_fsbc, sf_fwfisf ) |
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[6140] | 178 | fwfisf(:,:) = - sf_fwfisf(1)%fnow(:,:,1) ! fwf flux from the isf (fwfisf <0 mean melting) |
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[6507] | 179 | |
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| 180 | IF( lk_oasis) THEN |
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| 181 | ! ln_coupled_iceshelf_fluxes uninitialised unless lk_oasis=true |
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| 182 | IF( ln_coupled_iceshelf_fluxes ) THEN |
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| 183 | |
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| 184 | ! Adjust total iceshelf melt rates so that sum of iceberg calving and iceshelf melting in the northern |
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| 185 | ! and southern hemispheres equals rate of increase of mass of greenland and antarctic ice sheets |
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| 186 | ! to preserve total freshwater conservation in coupled models without an active ice sheet model. |
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| 187 | |
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| 188 | zgreenland_fwfisf_sum = SUM( fwfisf(:,:) * e1t(:,:) * e2t(:,:) * greenland_icesheet_mask(:,:) ) |
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| 189 | IF( lk_mpp ) CALL mpp_sum( zgreenland_fwfisf_sum ) |
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| 190 | ! use ABS function because we need to preserve the sign of fwfisf |
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| 191 | WHERE( greenland_icesheet_mask(:,:) == 1.0 ) & |
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| 192 | & fwfisf(:,:) = fwfisf(:,:) * ABS( greenland_icesheet_mass_rate_of_change * (1.0-rn_greenland_calving_fraction) & |
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| 193 | & / ( zgreenland_fwfisf_sum + 1.0e-10_wp ) ) |
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| 194 | |
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| 195 | ! check |
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| 196 | IF(lwp) WRITE(numout, *) 'Greenland iceshelf melting climatology (kg/s) : ',zgreenland_fwfisf_sum |
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| 197 | zgreenland_fwfisf_sum = SUM( fwfisf(:,:) * e1t(:,:) * e2t(:,:) * greenland_icesheet_mask(:,:) ) |
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| 198 | IF( lk_mpp ) CALL mpp_sum( zgreenland_fwfisf_sum ) |
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| 199 | IF(lwp) WRITE(numout, *) 'Greenland iceshelf melting adjusted value (kg/s) : ',zgreenland_fwfisf_sum |
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| 200 | |
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| 201 | zantarctica_fwfisf_sum = SUM( fwfisf(:,:) * e1t(:,:) * e2t(:,:) * antarctica_icesheet_mask(:,:) ) |
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| 202 | IF( lk_mpp ) CALL mpp_sum( zantarctica_fwfisf_sum ) |
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| 203 | ! use ABS function because we need to preserve the sign of fwfisf |
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| 204 | WHERE( antarctica_icesheet_mask(:,:) == 1.0 ) & |
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| 205 | & fwfisf(:,:) = fwfisf(:,:) * ABS( antarctica_icesheet_mass_rate_of_change * (1.0-rn_antarctica_calving_fraction) & |
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| 206 | & / ( zantarctica_fwfisf_sum + 1.0e-10_wp ) ) |
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| 207 | |
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| 208 | ! check |
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| 209 | IF(lwp) WRITE(numout, *) 'Antarctica iceshelf melting climatology (kg/s) : ',zantarctica_fwfisf_sum |
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| 210 | zantarctica_fwfisf_sum = SUM( fwfisf(:,:) * e1t(:,:) * e2t(:,:) * antarctica_icesheet_mask(:,:) ) |
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| 211 | IF( lk_mpp ) CALL mpp_sum( zantarctica_fwfisf_sum ) |
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| 212 | IF(lwp) WRITE(numout, *) 'Antarctica iceshelf melting adjusted value (kg/s) : ',zantarctica_fwfisf_sum |
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| 213 | |
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| 214 | ENDIF |
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| 215 | ENDIF |
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| 216 | |
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[6140] | 217 | qisf(:,:) = fwfisf(:,:) * rlfusisf ! heat flux |
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[4666] | 218 | stbl(:,:) = soce |
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| 219 | |
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[6140] | 220 | END SELECT |
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| 221 | |
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[4666] | 222 | ! compute tsc due to isf |
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[6140] | 223 | ! isf melting implemented as a volume flux and we assume that melt water is at 0 PSU. |
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| 224 | ! WARNING water add at temp = 0C, need to add a correction term (fwfisf * tfreez / rau0). |
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| 225 | ! compute freezing point beneath ice shelf (or top cell if nn_isf = 3) |
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| 226 | DO jj = 1,jpj |
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| 227 | DO ji = 1,jpi |
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| 228 | zdep(ji,jj)=gdepw_n(ji,jj,misfkt(ji,jj)) |
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| 229 | END DO |
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| 230 | END DO |
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| 231 | CALL eos_fzp( stbl(:,:), zt_frz(:,:), zdep(:,:) ) |
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[4666] | 232 | |
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[6507] | 233 | ! if apply only on the trend and not as a volume flux (rdivisf = 0), fwfisf have to be set to 0 now |
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| 234 | fwfisf(:,:) = rdivisf * fwfisf(:,:) |
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| 235 | |
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[6140] | 236 | risf_tsc(:,:,jp_tem) = qisf(:,:) * r1_rau0_rcp - fwfisf(:,:) * zt_frz(:,:) * r1_rau0 ! |
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| 237 | risf_tsc(:,:,jp_sal) = 0.0_wp |
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[5643] | 238 | |
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[4666] | 239 | ! lbclnk |
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| 240 | CALL lbc_lnk(risf_tsc(:,:,jp_tem),'T',1.) |
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| 241 | CALL lbc_lnk(risf_tsc(:,:,jp_sal),'T',1.) |
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[6140] | 242 | CALL lbc_lnk(fwfisf(:,:) ,'T',1.) |
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| 243 | CALL lbc_lnk(qisf(:,:) ,'T',1.) |
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[4666] | 244 | |
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[6140] | 245 | IF( kt == nit000 ) THEN ! set the forcing field at nit000 - 1 ! |
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[4666] | 246 | IF( ln_rstart .AND. & ! Restart: read in restart file |
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| 247 | & iom_varid( numror, 'fwf_isf_b', ldstop = .FALSE. ) > 0 ) THEN |
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| 248 | IF(lwp) WRITE(numout,*) ' nit000-1 isf tracer content forcing fields read in the restart file' |
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| 249 | CALL iom_get( numror, jpdom_autoglo, 'fwf_isf_b', fwfisf_b(:,:) ) ! before salt content isf_tsc trend |
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| 250 | CALL iom_get( numror, jpdom_autoglo, 'isf_sc_b', risf_tsc_b(:,:,jp_sal) ) ! before salt content isf_tsc trend |
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| 251 | CALL iom_get( numror, jpdom_autoglo, 'isf_hc_b', risf_tsc_b(:,:,jp_tem) ) ! before salt content isf_tsc trend |
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| 252 | ELSE |
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| 253 | fwfisf_b(:,:) = fwfisf(:,:) |
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| 254 | risf_tsc_b(:,:,:)= risf_tsc(:,:,:) |
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| 255 | END IF |
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[6140] | 256 | END IF |
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[4666] | 257 | ! |
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[6140] | 258 | ! output |
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| 259 | CALL iom_put('qisf' , qisf) |
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| 260 | CALL iom_put('fwfisf', fwfisf) |
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| 261 | |
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| 262 | ! deallocation |
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| 263 | CALL wrk_dealloc( jpi,jpj, zt_frz, zdep ) |
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[4666] | 264 | END IF |
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[5836] | 265 | ! |
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[4666] | 266 | END SUBROUTINE sbc_isf |
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| 267 | |
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[5836] | 268 | |
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[4666] | 269 | INTEGER FUNCTION sbc_isf_alloc() |
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| 270 | !!---------------------------------------------------------------------- |
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| 271 | !! *** FUNCTION sbc_isf_rnf_alloc *** |
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| 272 | !!---------------------------------------------------------------------- |
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| 273 | sbc_isf_alloc = 0 ! set to zero if no array to be allocated |
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| 274 | IF( .NOT. ALLOCATED( qisf ) ) THEN |
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[5120] | 275 | ALLOCATE( risf_tsc(jpi,jpj,jpts), risf_tsc_b(jpi,jpj,jpts), qisf(jpi,jpj) , & |
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| 276 | & rhisf_tbl(jpi,jpj) , r1_hisf_tbl(jpi,jpj), rzisf_tbl(jpi,jpj) , & |
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| 277 | & ttbl(jpi,jpj) , stbl(jpi,jpj) , utbl(jpi,jpj) , & |
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| 278 | & vtbl(jpi, jpj) , risfLeff(jpi,jpj) , rhisf_tbl_0(jpi,jpj), & |
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| 279 | & ralpha(jpi,jpj) , misfkt(jpi,jpj) , misfkb(jpi,jpj) , & |
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[4946] | 280 | & STAT= sbc_isf_alloc ) |
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[4666] | 281 | ! |
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[6140] | 282 | IF( lk_mpp ) CALL mpp_sum ( sbc_isf_alloc ) |
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[4666] | 283 | IF( sbc_isf_alloc /= 0 ) CALL ctl_warn('sbc_isf_alloc: failed to allocate arrays.') |
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| 284 | ! |
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[6140] | 285 | END IF |
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[4666] | 286 | END FUNCTION |
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| 287 | |
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[6140] | 288 | SUBROUTINE sbc_isf_init |
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| 289 | !!--------------------------------------------------------------------- |
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| 290 | !! *** ROUTINE sbc_isf_init *** |
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| 291 | !! |
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| 292 | !! ** Purpose : Initialisation of variables for iceshelf fluxes formulation |
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| 293 | !! |
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| 294 | !! ** Method : 4 parameterizations are available according to nn_isf |
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| 295 | !! nn_isf = 1 : Realistic ice_shelf formulation |
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| 296 | !! 2 : Beckmann & Goose parameterization |
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| 297 | !! 3 : Specified runoff in deptht (Mathiot & al. ) |
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| 298 | !! 4 : specified fwf and heat flux forcing beneath the ice shelf |
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[5836] | 299 | !!---------------------------------------------------------------------- |
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[6140] | 300 | INTEGER :: ji, jj, jk ! loop index |
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| 301 | INTEGER :: ik ! current level index |
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| 302 | INTEGER :: ikt, ikb ! top and bottom level of the isf boundary layer |
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| 303 | INTEGER :: inum, ierror |
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| 304 | INTEGER :: ios ! Local integer output status for namelist read |
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| 305 | REAL(wp) :: zhk |
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| 306 | CHARACTER(len=256) :: cvarzisf, cvarhisf ! name for isf file |
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| 307 | CHARACTER(LEN=32 ) :: cvarLeff ! variable name for efficient Length scale |
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[5836] | 308 | !!---------------------------------------------------------------------- |
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[6140] | 309 | NAMELIST/namsbc_isf/ nn_isfblk, rn_hisf_tbl, rn_gammat0, rn_gammas0, nn_gammablk, nn_isf, & |
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| 310 | & sn_fwfisf, sn_rnfisf, sn_depmax_isf, sn_depmin_isf, sn_Leff_isf |
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| 311 | !!---------------------------------------------------------------------- |
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| 312 | |
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| 313 | REWIND( numnam_ref ) ! Namelist namsbc_rnf in reference namelist : Runoffs |
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| 314 | READ ( numnam_ref, namsbc_isf, IOSTAT = ios, ERR = 901) |
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| 315 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_isf in reference namelist', lwp ) |
---|
| 316 | |
---|
| 317 | REWIND( numnam_cfg ) ! Namelist namsbc_rnf in configuration namelist : Runoffs |
---|
| 318 | READ ( numnam_cfg, namsbc_isf, IOSTAT = ios, ERR = 902 ) |
---|
| 319 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_isf in configuration namelist', lwp ) |
---|
| 320 | IF(lwm) WRITE ( numond, namsbc_isf ) |
---|
| 321 | |
---|
| 322 | IF ( lwp ) WRITE(numout,*) |
---|
| 323 | IF ( lwp ) WRITE(numout,*) 'sbc_isf: heat flux of the ice shelf' |
---|
| 324 | IF ( lwp ) WRITE(numout,*) '~~~~~~~~~' |
---|
| 325 | IF ( lwp ) WRITE(numout,*) 'sbcisf :' |
---|
| 326 | IF ( lwp ) WRITE(numout,*) '~~~~~~~~' |
---|
| 327 | IF ( lwp ) WRITE(numout,*) ' nn_isf = ', nn_isf |
---|
| 328 | IF ( lwp ) WRITE(numout,*) ' nn_isfblk = ', nn_isfblk |
---|
| 329 | IF ( lwp ) WRITE(numout,*) ' rn_hisf_tbl = ', rn_hisf_tbl |
---|
| 330 | IF ( lwp ) WRITE(numout,*) ' nn_gammablk = ', nn_gammablk |
---|
| 331 | IF ( lwp ) WRITE(numout,*) ' rn_gammat0 = ', rn_gammat0 |
---|
| 332 | IF ( lwp ) WRITE(numout,*) ' rn_gammas0 = ', rn_gammas0 |
---|
| 333 | IF ( lwp ) WRITE(numout,*) ' rn_tfri2 = ', rn_tfri2 |
---|
| 334 | ! |
---|
| 335 | ! Allocate public variable |
---|
| 336 | IF ( sbc_isf_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'sbc_isf : unable to allocate arrays' ) |
---|
| 337 | ! |
---|
| 338 | ! initialisation |
---|
| 339 | qisf(:,:) = 0._wp ; fwfisf (:,:) = 0._wp |
---|
| 340 | risf_tsc(:,:,:) = 0._wp ; fwfisf_b(:,:) = 0._wp |
---|
| 341 | ! |
---|
| 342 | ! define isf tbl tickness, top and bottom indice |
---|
| 343 | SELECT CASE ( nn_isf ) |
---|
| 344 | CASE ( 1 ) |
---|
| 345 | rhisf_tbl(:,:) = rn_hisf_tbl |
---|
| 346 | misfkt(:,:) = mikt(:,:) ! same indice for bg03 et cav => used in isfdiv |
---|
| 347 | |
---|
| 348 | CASE ( 2 , 3 ) |
---|
| 349 | ALLOCATE( sf_rnfisf(1), STAT=ierror ) |
---|
| 350 | ALLOCATE( sf_rnfisf(1)%fnow(jpi,jpj,1), sf_rnfisf(1)%fdta(jpi,jpj,1,2) ) |
---|
| 351 | CALL fld_fill( sf_rnfisf, (/ sn_rnfisf /), cn_dirisf, 'sbc_isf_init', 'read fresh water flux isf data', 'namsbc_isf' ) |
---|
| 352 | |
---|
| 353 | ! read effective lenght (BG03) |
---|
| 354 | IF (nn_isf == 2) THEN |
---|
| 355 | CALL iom_open( sn_Leff_isf%clname, inum ) |
---|
| 356 | cvarLeff = TRIM(sn_Leff_isf%clvar) |
---|
| 357 | CALL iom_get( inum, jpdom_data, cvarLeff, risfLeff , 1) |
---|
| 358 | CALL iom_close(inum) |
---|
| 359 | ! |
---|
| 360 | risfLeff = risfLeff*1000.0_wp !: convertion in m |
---|
| 361 | END IF |
---|
| 362 | |
---|
| 363 | ! read depth of the top and bottom of the isf top boundary layer (in this case, isf front depth and grounding line depth) |
---|
| 364 | CALL iom_open( sn_depmax_isf%clname, inum ) |
---|
| 365 | cvarhisf = TRIM(sn_depmax_isf%clvar) |
---|
| 366 | CALL iom_get( inum, jpdom_data, cvarhisf, rhisf_tbl, 1) !: depth of deepest point of the ice shelf base |
---|
| 367 | CALL iom_close(inum) |
---|
| 368 | ! |
---|
| 369 | CALL iom_open( sn_depmin_isf%clname, inum ) |
---|
| 370 | cvarzisf = TRIM(sn_depmin_isf%clvar) |
---|
| 371 | CALL iom_get( inum, jpdom_data, cvarzisf, rzisf_tbl, 1) !: depth of shallowest point of the ice shelves base |
---|
| 372 | CALL iom_close(inum) |
---|
| 373 | ! |
---|
| 374 | rhisf_tbl(:,:) = rhisf_tbl(:,:) - rzisf_tbl(:,:) !: tickness isf boundary layer |
---|
| 375 | |
---|
| 376 | !! compute first level of the top boundary layer |
---|
| 377 | DO ji = 1, jpi |
---|
| 378 | DO jj = 1, jpj |
---|
| 379 | ik = 2 |
---|
| 380 | DO WHILE ( ik <= mbkt(ji,jj) .AND. gdepw_n(ji,jj,ik) < rzisf_tbl(ji,jj) ) ; ik = ik + 1 ; END DO |
---|
| 381 | misfkt(ji,jj) = ik-1 |
---|
| 382 | END DO |
---|
| 383 | END DO |
---|
| 384 | |
---|
| 385 | CASE ( 4 ) |
---|
| 386 | ! as in nn_isf == 1 |
---|
| 387 | rhisf_tbl(:,:) = rn_hisf_tbl |
---|
| 388 | misfkt(:,:) = mikt(:,:) ! same indice for bg03 et cav => used in isfdiv |
---|
| 389 | |
---|
| 390 | ! load variable used in fldread (use for temporal interpolation of isf fwf forcing) |
---|
| 391 | ALLOCATE( sf_fwfisf(1), STAT=ierror ) |
---|
| 392 | ALLOCATE( sf_fwfisf(1)%fnow(jpi,jpj,1), sf_fwfisf(1)%fdta(jpi,jpj,1,2) ) |
---|
| 393 | CALL fld_fill( sf_fwfisf, (/ sn_fwfisf /), cn_dirisf, 'sbc_isf_init', 'read fresh water flux isf data', 'namsbc_isf' ) |
---|
| 394 | |
---|
| 395 | END SELECT |
---|
| 396 | |
---|
| 397 | rhisf_tbl_0(:,:) = rhisf_tbl(:,:) |
---|
| 398 | |
---|
| 399 | ! compute bottom level of isf tbl and thickness of tbl below the ice shelf |
---|
| 400 | DO jj = 1,jpj |
---|
| 401 | DO ji = 1,jpi |
---|
| 402 | ikt = misfkt(ji,jj) |
---|
| 403 | ikb = misfkt(ji,jj) |
---|
| 404 | ! thickness of boundary layer at least the top level thickness |
---|
| 405 | rhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), e3t_n(ji,jj,ikt)) |
---|
| 406 | |
---|
| 407 | ! determine the deepest level influenced by the boundary layer |
---|
| 408 | DO jk = ikt+1, mbkt(ji,jj) |
---|
| 409 | IF ( (SUM(e3t_n(ji,jj,ikt:jk-1)) < rhisf_tbl(ji,jj)) .AND. (tmask(ji,jj,jk) == 1) ) ikb = jk |
---|
| 410 | END DO |
---|
| 411 | rhisf_tbl(ji,jj) = MIN(rhisf_tbl(ji,jj), SUM(e3t_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness. |
---|
| 412 | misfkb(ji,jj) = ikb ! last wet level of the tbl |
---|
| 413 | r1_hisf_tbl(ji,jj) = 1._wp / rhisf_tbl(ji,jj) |
---|
| 414 | |
---|
| 415 | 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 |
---|
| 416 | ralpha(ji,jj) = rhisf_tbl(ji,jj) * (1._wp - zhk ) / e3t_n(ji,jj,ikb) ! proportion of bottom cell influenced by boundary layer |
---|
| 417 | END DO |
---|
| 418 | END DO |
---|
| 419 | |
---|
| 420 | END SUBROUTINE sbc_isf_init |
---|
| 421 | |
---|
| 422 | SUBROUTINE sbc_isf_bg03(kt) |
---|
| 423 | !!--------------------------------------------------------------------- |
---|
| 424 | !! *** ROUTINE sbc_isf_bg03 *** |
---|
[5836] | 425 | !! |
---|
[6140] | 426 | !! ** Purpose : add net heat and fresh water flux from ice shelf melting |
---|
| 427 | !! into the adjacent ocean |
---|
[5836] | 428 | !! |
---|
[6140] | 429 | !! ** Method : See reference |
---|
| 430 | !! |
---|
| 431 | !! ** Reference : Beckmann and Goosse (2003), "A parameterization of ice shelf-ocean |
---|
| 432 | !! interaction for climate models", Ocean Modelling 5(2003) 157-170. |
---|
| 433 | !! (hereafter BG) |
---|
[5836] | 434 | !! History : |
---|
[6140] | 435 | !! 06-02 (C. Wang) Original code |
---|
[5836] | 436 | !!---------------------------------------------------------------------- |
---|
| 437 | INTEGER, INTENT ( in ) :: kt |
---|
| 438 | ! |
---|
[6140] | 439 | INTEGER :: ji, jj, jk ! dummy loop index |
---|
| 440 | INTEGER :: ik ! current level |
---|
| 441 | REAL(wp) :: zt_sum ! sum of the temperature between 200m and 600m |
---|
| 442 | REAL(wp) :: zt_ave ! averaged temperature between 200m and 600m |
---|
| 443 | REAL(wp) :: zt_frz ! freezing point temperature at depth z |
---|
| 444 | REAL(wp) :: zpress ! pressure to compute the freezing point in depth |
---|
| 445 | !!---------------------------------------------------------------------- |
---|
[4666] | 446 | |
---|
[6140] | 447 | IF ( nn_timing == 1 ) CALL timing_start('sbc_isf_bg03') |
---|
| 448 | ! |
---|
| 449 | DO ji = 1, jpi |
---|
| 450 | DO jj = 1, jpj |
---|
| 451 | ik = misfkt(ji,jj) |
---|
| 452 | !! Initialize arrays to 0 (each step) |
---|
| 453 | zt_sum = 0.e0_wp |
---|
| 454 | IF ( ik > 1 ) THEN |
---|
| 455 | ! 1. -----------the average temperature between 200m and 600m --------------------- |
---|
| 456 | DO jk = misfkt(ji,jj),misfkb(ji,jj) |
---|
| 457 | ! freezing point temperature at ice shelf base BG eq. 2 (JMM sign pb ??? +7.64e-4 !!!) |
---|
| 458 | ! after verif with UNESCO, wrong sign in BG eq. 2 |
---|
| 459 | ! Calculate freezing temperature |
---|
| 460 | CALL eos_fzp(stbl(ji,jj), zt_frz, zpress) |
---|
| 461 | zt_sum = zt_sum + (tsn(ji,jj,jk,jp_tem)-zt_frz) * e3t_n(ji,jj,jk) * tmask(ji,jj,jk) ! sum temp |
---|
| 462 | END DO |
---|
| 463 | zt_ave = zt_sum/rhisf_tbl(ji,jj) ! calcul mean value |
---|
| 464 | ! 2. ------------Net heat flux and fresh water flux due to the ice shelf |
---|
| 465 | ! For those corresponding to zonal boundary |
---|
| 466 | qisf(ji,jj) = - rau0 * rcp * rn_gammat0 * risfLeff(ji,jj) * e1t(ji,jj) * zt_ave & |
---|
| 467 | & * r1_e1e2t(ji,jj) * tmask(ji,jj,jk) |
---|
[4666] | 468 | |
---|
[6140] | 469 | fwfisf(ji,jj) = qisf(ji,jj) / rlfusisf !fresh water flux kg/(m2s) |
---|
| 470 | fwfisf(ji,jj) = fwfisf(ji,jj) * ( soce / stbl(ji,jj) ) |
---|
| 471 | !add to salinity trend |
---|
| 472 | ELSE |
---|
| 473 | qisf(ji,jj) = 0._wp ; fwfisf(ji,jj) = 0._wp |
---|
| 474 | END IF |
---|
| 475 | END DO |
---|
| 476 | END DO |
---|
[5836] | 477 | ! |
---|
[6140] | 478 | IF( nn_timing == 1 ) CALL timing_stop('sbc_isf_bg03') |
---|
| 479 | ! |
---|
[4666] | 480 | END SUBROUTINE sbc_isf_bg03 |
---|
| 481 | |
---|
[6140] | 482 | SUBROUTINE sbc_isf_cav( kt ) |
---|
[4666] | 483 | !!--------------------------------------------------------------------- |
---|
| 484 | !! *** ROUTINE sbc_isf_cav *** |
---|
| 485 | !! |
---|
| 486 | !! ** Purpose : handle surface boundary condition under ice shelf |
---|
| 487 | !! |
---|
| 488 | !! ** Method : - |
---|
| 489 | !! |
---|
| 490 | !! ** Action : utau, vtau : remain unchanged |
---|
| 491 | !! taum, wndm : remain unchanged |
---|
| 492 | !! qns : update heat flux below ice shelf |
---|
| 493 | !! emp, emps : update freshwater flux below ice shelf |
---|
| 494 | !!--------------------------------------------------------------------- |
---|
| 495 | INTEGER, INTENT(in) :: kt ! ocean time step |
---|
| 496 | ! |
---|
[6140] | 497 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 498 | INTEGER :: nit |
---|
[4666] | 499 | REAL(wp) :: zlamb1, zlamb2, zlamb3 |
---|
| 500 | REAL(wp) :: zeps1,zeps2,zeps3,zeps4,zeps6,zeps7 |
---|
| 501 | REAL(wp) :: zaqe,zbqe,zcqe,zaqer,zdis,zsfrz,zcfac |
---|
[6140] | 502 | REAL(wp) :: zeps = 1.e-20_wp |
---|
| 503 | REAL(wp) :: zerr |
---|
| 504 | REAL(wp), DIMENSION(:,:), POINTER :: zfrz |
---|
| 505 | REAL(wp), DIMENSION(:,:), POINTER :: zgammat, zgammas |
---|
| 506 | REAL(wp), DIMENSION(:,:), POINTER :: zfwflx, zhtflx, zhtflx_b |
---|
| 507 | LOGICAL :: lit |
---|
[4666] | 508 | !!--------------------------------------------------------------------- |
---|
[6140] | 509 | ! coeficient for linearisation of potential tfreez |
---|
| 510 | ! Crude approximation for pressure (but commonly used) |
---|
| 511 | zlamb1 =-0.0573_wp |
---|
| 512 | zlamb2 = 0.0832_wp |
---|
| 513 | zlamb3 =-7.53e-08_wp * grav * rau0 |
---|
[4666] | 514 | IF( nn_timing == 1 ) CALL timing_start('sbc_isf_cav') |
---|
| 515 | ! |
---|
[6140] | 516 | CALL wrk_alloc( jpi,jpj, zfrz , zgammat, zgammas ) |
---|
| 517 | CALL wrk_alloc( jpi,jpj, zfwflx, zhtflx , zhtflx_b ) |
---|
[4666] | 518 | |
---|
[6140] | 519 | ! initialisation |
---|
| 520 | zgammat(:,:) = rn_gammat0 ; zgammas (:,:) = rn_gammas0 |
---|
| 521 | zhtflx (:,:) = 0.0_wp ; zhtflx_b(:,:) = 0.0_wp |
---|
| 522 | zfwflx (:,:) = 0.0_wp |
---|
[4666] | 523 | |
---|
[6140] | 524 | ! compute ice shelf melting |
---|
| 525 | nit = 1 ; lit = .TRUE. |
---|
| 526 | DO WHILE ( lit ) ! maybe just a constant number of iteration as in blk_core is fine |
---|
| 527 | SELECT CASE ( nn_isfblk ) |
---|
| 528 | CASE ( 1 ) ! ISOMIP formulation (2 equations) for volume flux (Hunter et al., 2006) |
---|
| 529 | ! Calculate freezing temperature |
---|
| 530 | CALL eos_fzp( stbl(:,:), zfrz(:,:), risfdep(:,:) ) |
---|
[4666] | 531 | |
---|
[6140] | 532 | ! compute gammat every where (2d) |
---|
| 533 | CALL sbc_isf_gammats(zgammat, zgammas, zhtflx, zfwflx) |
---|
| 534 | |
---|
| 535 | ! compute upward heat flux zhtflx and upward water flux zwflx |
---|
| 536 | DO jj = 1, jpj |
---|
| 537 | DO ji = 1, jpi |
---|
| 538 | zhtflx(ji,jj) = zgammat(ji,jj)*rcp*rau0*(ttbl(ji,jj)-zfrz(ji,jj)) |
---|
| 539 | zfwflx(ji,jj) = - zhtflx(ji,jj)/rlfusisf |
---|
| 540 | END DO |
---|
| 541 | END DO |
---|
[4666] | 542 | |
---|
[6140] | 543 | ! Compute heat flux and upward fresh water flux |
---|
| 544 | qisf (:,:) = - zhtflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:) |
---|
| 545 | fwfisf(:,:) = zfwflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:) |
---|
[5721] | 546 | |
---|
[6140] | 547 | CASE ( 2 ) ! ISOMIP+ formulation (3 equations) for volume flux (Asay-Davis et al., 2015) |
---|
| 548 | ! compute gammat every where (2d) |
---|
| 549 | CALL sbc_isf_gammats(zgammat, zgammas, zhtflx, zfwflx) |
---|
[4666] | 550 | |
---|
[6140] | 551 | ! compute upward heat flux zhtflx and upward water flux zwflx |
---|
| 552 | ! Resolution of a 2d equation from equation 21, 22 and 23 to find Sb (Asay-Davis et al., 2015) |
---|
| 553 | DO jj = 1, jpj |
---|
| 554 | DO ji = 1, jpi |
---|
| 555 | ! compute coeficient to solve the 2nd order equation |
---|
| 556 | zeps1 = rcp*rau0*zgammat(ji,jj) |
---|
| 557 | zeps2 = rlfusisf*rau0*zgammas(ji,jj) |
---|
| 558 | zeps3 = rhoisf*rcpi*rkappa/MAX(risfdep(ji,jj),zeps) |
---|
| 559 | zeps4 = zlamb2+zlamb3*risfdep(ji,jj) |
---|
| 560 | zeps6 = zeps4-ttbl(ji,jj) |
---|
| 561 | zeps7 = zeps4-tsurf |
---|
| 562 | zaqe = zlamb1 * (zeps1 + zeps3) |
---|
| 563 | zaqer = 0.5_wp/MIN(zaqe,-zeps) |
---|
| 564 | zbqe = zeps1*zeps6+zeps3*zeps7-zeps2 |
---|
| 565 | zcqe = zeps2*stbl(ji,jj) |
---|
| 566 | zdis = zbqe*zbqe-4.0_wp*zaqe*zcqe |
---|
| 567 | |
---|
| 568 | ! Presumably zdis can never be negative because gammas is very small compared to gammat |
---|
| 569 | ! compute s freeze |
---|
| 570 | zsfrz=(-zbqe-SQRT(zdis))*zaqer |
---|
| 571 | IF ( zsfrz < 0.0_wp ) zsfrz=(-zbqe+SQRT(zdis))*zaqer |
---|
| 572 | |
---|
| 573 | ! compute t freeze (eq. 22) |
---|
| 574 | zfrz(ji,jj)=zeps4+zlamb1*zsfrz |
---|
| 575 | |
---|
| 576 | ! zfwflx is upward water flux |
---|
| 577 | ! zhtflx is upward heat flux (out of ocean) |
---|
| 578 | ! compute the upward water and heat flux (eq. 28 and eq. 29) |
---|
| 579 | zfwflx(ji,jj) = rau0 * zgammas(ji,jj) * (zsfrz-stbl(ji,jj)) / MAX(zsfrz,zeps) |
---|
| 580 | zhtflx(ji,jj) = zgammat(ji,jj) * rau0 * rcp * (ttbl(ji,jj) - zfrz(ji,jj) ) |
---|
| 581 | END DO |
---|
[4666] | 582 | END DO |
---|
| 583 | |
---|
[6140] | 584 | ! compute heat and water flux |
---|
| 585 | qisf (:,:) = - zhtflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:) |
---|
| 586 | fwfisf(:,:) = zfwflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:) |
---|
[4666] | 587 | |
---|
[6140] | 588 | END SELECT |
---|
[4666] | 589 | |
---|
[6140] | 590 | ! define if we need to iterate (nn_gammablk 0/1 do not need iteration) |
---|
| 591 | IF ( nn_gammablk < 2 ) THEN ; lit = .FALSE. |
---|
| 592 | ELSE |
---|
| 593 | ! check total number of iteration |
---|
| 594 | IF (nit >= 100) THEN ; CALL ctl_stop( 'STOP', 'sbc_isf_hol99 : too many iteration ...' ) |
---|
| 595 | ELSE ; nit = nit + 1 |
---|
| 596 | END IF |
---|
[4666] | 597 | |
---|
[6140] | 598 | ! compute error between 2 iterations |
---|
| 599 | ! if needed save gammat and compute zhtflx_b for next iteration |
---|
| 600 | zerr = MAXVAL(ABS(zhtflx-zhtflx_b)) |
---|
| 601 | IF ( zerr <= 0.01_wp ) THEN ; lit = .FALSE. |
---|
| 602 | ELSE ; zhtflx_b(:,:) = zhtflx(:,:) |
---|
| 603 | END IF |
---|
| 604 | END IF |
---|
| 605 | END DO |
---|
[5302] | 606 | ! |
---|
[6140] | 607 | CALL iom_put('isfgammat', zgammat) |
---|
| 608 | CALL iom_put('isfgammas', zgammas) |
---|
| 609 | ! |
---|
| 610 | CALL wrk_dealloc( jpi,jpj, zfrz , zgammat, zgammas ) |
---|
| 611 | CALL wrk_dealloc( jpi,jpj, zfwflx, zhtflx , zhtflx_b ) |
---|
[4666] | 612 | ! |
---|
| 613 | IF( nn_timing == 1 ) CALL timing_stop('sbc_isf_cav') |
---|
[5836] | 614 | ! |
---|
[4666] | 615 | END SUBROUTINE sbc_isf_cav |
---|
| 616 | |
---|
[6140] | 617 | SUBROUTINE sbc_isf_gammats(pgt, pgs, pqhisf, pqwisf ) |
---|
[4666] | 618 | !!---------------------------------------------------------------------- |
---|
| 619 | !! ** Purpose : compute the coefficient echange for heat flux |
---|
| 620 | !! |
---|
| 621 | !! ** Method : gamma assume constant or depends of u* and stability |
---|
| 622 | !! |
---|
| 623 | !! ** References : Holland and Jenkins, 1999, JPO, p1787-1800, eq 14 |
---|
| 624 | !! Jenkins et al., 2010, JPO, p2298-2312 |
---|
| 625 | !!--------------------------------------------------------------------- |
---|
[6140] | 626 | REAL(wp), DIMENSION(:,:), INTENT(out) :: pgt, pgs |
---|
| 627 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pqhisf, pqwisf |
---|
| 628 | ! |
---|
| 629 | INTEGER :: ikt |
---|
| 630 | INTEGER :: ji, jj ! loop index |
---|
| 631 | REAL(wp), DIMENSION(:,:), POINTER :: zustar ! U, V at T point and friction velocity |
---|
[4666] | 632 | REAL(wp) :: zdku, zdkv ! U, V shear |
---|
| 633 | REAL(wp) :: zPr, zSc, zRc ! Prandtl, Scmidth and Richardson number |
---|
| 634 | REAL(wp) :: zmob, zmols ! Monin Obukov length, coriolis factor at T point |
---|
| 635 | REAL(wp) :: zbuofdep, zhnu ! Bouyancy length scale, sublayer tickness |
---|
| 636 | REAL(wp) :: zhmax ! limitation of mol |
---|
| 637 | REAL(wp) :: zetastar ! stability parameter |
---|
| 638 | REAL(wp) :: zgmolet, zgmoles, zgturb ! contribution of modelecular sublayer and turbulence |
---|
| 639 | REAL(wp) :: zcoef ! temporary coef |
---|
[4946] | 640 | REAL(wp) :: zdep |
---|
[6140] | 641 | REAL(wp) :: zeps = 1.0e-20_wp |
---|
| 642 | REAL(wp), PARAMETER :: zxsiN = 0.052_wp ! dimensionless constant |
---|
| 643 | REAL(wp), PARAMETER :: znu = 1.95e-6_wp ! kinamatic viscosity of sea water (m2.s-1) |
---|
[4946] | 644 | REAL(wp), DIMENSION(2) :: zts, zab |
---|
[4666] | 645 | !!--------------------------------------------------------------------- |
---|
[6140] | 646 | CALL wrk_alloc( jpi,jpj, zustar ) |
---|
[4666] | 647 | ! |
---|
[6140] | 648 | SELECT CASE ( nn_gammablk ) |
---|
| 649 | CASE ( 0 ) ! gamma is constant (specified in namelist) |
---|
| 650 | !! ISOMIP formulation (Hunter et al, 2006) |
---|
| 651 | pgt(:,:) = rn_gammat0 |
---|
| 652 | pgs(:,:) = rn_gammas0 |
---|
[4666] | 653 | |
---|
[6140] | 654 | CASE ( 1 ) ! gamma is assume to be proportional to u* |
---|
| 655 | !! Jenkins et al., 2010, JPO, p2298-2312 |
---|
| 656 | !! Adopted by Asay-Davis et al. (2015) |
---|
[4666] | 657 | |
---|
[6140] | 658 | !! compute ustar (eq. 24) |
---|
| 659 | zustar(:,:) = SQRT( rn_tfri2 * (utbl(:,:) * utbl(:,:) + vtbl(:,:) * vtbl(:,:) + rn_tfeb2) ) |
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[4666] | 660 | |
---|
[6140] | 661 | !! Compute gammats |
---|
| 662 | pgt(:,:) = zustar(:,:) * rn_gammat0 |
---|
| 663 | pgs(:,:) = zustar(:,:) * rn_gammas0 |
---|
| 664 | |
---|
| 665 | CASE ( 2 ) ! gamma depends of stability of boundary layer |
---|
| 666 | !! Holland and Jenkins, 1999, JPO, p1787-1800, eq 14 |
---|
| 667 | !! as MOL depends of flux and flux depends of MOL, best will be iteration (TO DO) |
---|
| 668 | !! compute ustar |
---|
| 669 | zustar(:,:) = SQRT( rn_tfri2 * (utbl(:,:) * utbl(:,:) + vtbl(:,:) * vtbl(:,:) + rn_tfeb2) ) |
---|
[4666] | 670 | |
---|
[6140] | 671 | !! compute Pr and Sc number (can be improved) |
---|
| 672 | zPr = 13.8_wp |
---|
| 673 | zSc = 2432.0_wp |
---|
[4666] | 674 | |
---|
[6140] | 675 | !! compute gamma mole |
---|
| 676 | zgmolet = 12.5_wp * zPr ** (2.0/3.0) - 6.0_wp |
---|
| 677 | zgmoles = 12.5_wp * zSc ** (2.0/3.0) - 6.0_wp |
---|
[4666] | 678 | |
---|
[6140] | 679 | !! compute gamma |
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| 680 | DO ji=2,jpi |
---|
| 681 | DO jj=2,jpj |
---|
| 682 | ikt = mikt(ji,jj) |
---|
[4666] | 683 | |
---|
[6140] | 684 | IF (zustar(ji,jj) == 0._wp) THEN ! only for kt = 1 I think |
---|
| 685 | pgt = rn_gammat0 |
---|
| 686 | pgs = rn_gammas0 |
---|
| 687 | ELSE |
---|
| 688 | !! compute Rc number (as done in zdfric.F90) |
---|
| 689 | zcoef = 0.5_wp / e3w_n(ji,jj,ikt) |
---|
| 690 | ! ! shear of horizontal velocity |
---|
| 691 | zdku = zcoef * ( un(ji-1,jj ,ikt ) + un(ji,jj,ikt ) & |
---|
| 692 | & -un(ji-1,jj ,ikt+1) - un(ji,jj,ikt+1) ) |
---|
| 693 | zdkv = zcoef * ( vn(ji ,jj-1,ikt ) + vn(ji,jj,ikt ) & |
---|
| 694 | & -vn(ji ,jj-1,ikt+1) - vn(ji,jj,ikt+1) ) |
---|
| 695 | ! ! richardson number (minimum value set to zero) |
---|
| 696 | zRc = rn2(ji,jj,ikt+1) / MAX( zdku*zdku + zdkv*zdkv, zeps ) |
---|
| 697 | |
---|
| 698 | !! compute bouyancy |
---|
| 699 | zts(jp_tem) = ttbl(ji,jj) |
---|
| 700 | zts(jp_sal) = stbl(ji,jj) |
---|
| 701 | zdep = gdepw_n(ji,jj,ikt) |
---|
[4946] | 702 | ! |
---|
[6140] | 703 | CALL eos_rab( zts, zdep, zab ) |
---|
| 704 | ! |
---|
| 705 | !! compute length scale |
---|
| 706 | zbuofdep = grav * ( zab(jp_tem) * pqhisf(ji,jj) - zab(jp_sal) * pqwisf(ji,jj) ) !!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
[4666] | 707 | |
---|
[6140] | 708 | !! compute Monin Obukov Length |
---|
| 709 | ! Maximum boundary layer depth |
---|
| 710 | zhmax = gdept_n(ji,jj,mbkt(ji,jj)) - gdepw_n(ji,jj,mikt(ji,jj)) -0.001_wp |
---|
| 711 | ! Compute Monin obukhov length scale at the surface and Ekman depth: |
---|
| 712 | zmob = zustar(ji,jj) ** 3 / (vkarmn * (zbuofdep + zeps)) |
---|
| 713 | zmols = SIGN(1._wp, zmob) * MIN(ABS(zmob), zhmax) * tmask(ji,jj,ikt) |
---|
[4666] | 714 | |
---|
[6140] | 715 | !! compute eta* (stability parameter) |
---|
| 716 | zetastar = 1._wp / ( SQRT(1._wp + MAX(zxsiN * zustar(ji,jj) / ( ABS(ff(ji,jj)) * zmols * zRc ), 0.0_wp))) |
---|
[4666] | 717 | |
---|
[6140] | 718 | !! compute the sublayer thickness |
---|
| 719 | zhnu = 5 * znu / zustar(ji,jj) |
---|
[4666] | 720 | |
---|
[6140] | 721 | !! compute gamma turb |
---|
| 722 | zgturb = 1._wp / vkarmn * LOG(zustar(ji,jj) * zxsiN * zetastar * zetastar / ( ABS(ff(ji,jj)) * zhnu )) & |
---|
| 723 | & + 1._wp / ( 2 * zxsiN * zetastar ) - 1._wp / vkarmn |
---|
| 724 | |
---|
| 725 | !! compute gammats |
---|
| 726 | pgt(ji,jj) = zustar(ji,jj) / (zgturb + zgmolet) |
---|
| 727 | pgs(ji,jj) = zustar(ji,jj) / (zgturb + zgmoles) |
---|
[4666] | 728 | END IF |
---|
[6140] | 729 | END DO |
---|
| 730 | END DO |
---|
| 731 | CALL lbc_lnk(pgt(:,:),'T',1.) |
---|
| 732 | CALL lbc_lnk(pgs(:,:),'T',1.) |
---|
| 733 | END SELECT |
---|
| 734 | CALL wrk_dealloc( jpi,jpj, zustar ) |
---|
[5836] | 735 | ! |
---|
[6140] | 736 | END SUBROUTINE sbc_isf_gammats |
---|
[4666] | 737 | |
---|
[6140] | 738 | SUBROUTINE sbc_isf_tbl( pvarin, pvarout, cd_ptin ) |
---|
[4666] | 739 | !!---------------------------------------------------------------------- |
---|
| 740 | !! *** SUBROUTINE sbc_isf_tbl *** |
---|
| 741 | !! |
---|
[6140] | 742 | !! ** Purpose : compute mean T/S/U/V in the boundary layer at T- point |
---|
[4666] | 743 | !! |
---|
| 744 | !!---------------------------------------------------------------------- |
---|
[6140] | 745 | REAL(wp), DIMENSION(:,:,:), INTENT( in ) :: pvarin |
---|
| 746 | REAL(wp), DIMENSION(:,:) , INTENT( out ) :: pvarout |
---|
| 747 | CHARACTER(len=1), INTENT( in ) :: cd_ptin ! point of variable in/out |
---|
| 748 | ! |
---|
| 749 | REAL(wp) :: ze3, zhk |
---|
| 750 | REAL(wp), DIMENSION(:,:), POINTER :: zhisf_tbl ! thickness of the tbl |
---|
| 751 | |
---|
| 752 | INTEGER :: ji, jj, jk ! loop index |
---|
| 753 | INTEGER :: ikt, ikb ! top and bottom index of the tbl |
---|
| 754 | !!---------------------------------------------------------------------- |
---|
| 755 | ! allocation |
---|
| 756 | CALL wrk_alloc( jpi,jpj, zhisf_tbl) |
---|
[4666] | 757 | |
---|
[6140] | 758 | ! initialisation |
---|
| 759 | pvarout(:,:)=0._wp |
---|
| 760 | |
---|
| 761 | SELECT CASE ( cd_ptin ) |
---|
| 762 | CASE ( 'U' ) ! compute U in the top boundary layer at T- point |
---|
| 763 | DO jj = 1,jpj |
---|
| 764 | DO ji = 1,jpi |
---|
| 765 | ikt = miku(ji,jj) ; ikb = miku(ji,jj) |
---|
| 766 | ! thickness of boundary layer at least the top level thickness |
---|
| 767 | zhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), e3u_n(ji,jj,ikt)) |
---|
[4666] | 768 | |
---|
[6140] | 769 | ! determine the deepest level influenced by the boundary layer |
---|
| 770 | DO jk = ikt+1, mbku(ji,jj) |
---|
| 771 | IF ( (SUM(e3u_n(ji,jj,ikt:jk-1)) < zhisf_tbl(ji,jj)) .AND. (umask(ji,jj,jk) == 1) ) ikb = jk |
---|
| 772 | END DO |
---|
| 773 | zhisf_tbl(ji,jj) = MIN(zhisf_tbl(ji,jj), SUM(e3u_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness. |
---|
[4666] | 774 | |
---|
[6140] | 775 | ! level fully include in the ice shelf boundary layer |
---|
| 776 | DO jk = ikt, ikb - 1 |
---|
| 777 | ze3 = e3u_n(ji,jj,jk) |
---|
| 778 | pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,jk) / zhisf_tbl(ji,jj) * ze3 |
---|
| 779 | END DO |
---|
[4666] | 780 | |
---|
[6140] | 781 | ! level partially include in ice shelf boundary layer |
---|
| 782 | zhk = SUM( e3u_n(ji, jj, ikt:ikb - 1)) / zhisf_tbl(ji,jj) |
---|
| 783 | pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,ikb) * (1._wp - zhk) |
---|
| 784 | END DO |
---|
| 785 | END DO |
---|
| 786 | DO jj = 2,jpj |
---|
| 787 | DO ji = 2,jpi |
---|
| 788 | pvarout(ji,jj) = 0.5_wp * (pvarout(ji,jj) + pvarout(ji-1,jj)) |
---|
| 789 | END DO |
---|
| 790 | END DO |
---|
| 791 | CALL lbc_lnk(pvarout,'T',-1.) |
---|
| 792 | |
---|
| 793 | CASE ( 'V' ) ! compute V in the top boundary layer at T- point |
---|
| 794 | DO jj = 1,jpj |
---|
| 795 | DO ji = 1,jpi |
---|
| 796 | ikt = mikv(ji,jj) ; ikb = mikv(ji,jj) |
---|
| 797 | ! thickness of boundary layer at least the top level thickness |
---|
| 798 | zhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), e3v_n(ji,jj,ikt)) |
---|
[4666] | 799 | |
---|
[6140] | 800 | ! determine the deepest level influenced by the boundary layer |
---|
| 801 | DO jk = ikt+1, mbkv(ji,jj) |
---|
| 802 | IF ( (SUM(e3v_n(ji,jj,ikt:jk-1)) < zhisf_tbl(ji,jj)) .AND. (vmask(ji,jj,jk) == 1) ) ikb = jk |
---|
| 803 | END DO |
---|
| 804 | zhisf_tbl(ji,jj) = MIN(zhisf_tbl(ji,jj), SUM(e3v_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness. |
---|
[4666] | 805 | |
---|
[6140] | 806 | ! level fully include in the ice shelf boundary layer |
---|
| 807 | DO jk = ikt, ikb - 1 |
---|
| 808 | ze3 = e3v_n(ji,jj,jk) |
---|
| 809 | pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,jk) / zhisf_tbl(ji,jj) * ze3 |
---|
| 810 | END DO |
---|
[4666] | 811 | |
---|
[6140] | 812 | ! level partially include in ice shelf boundary layer |
---|
| 813 | zhk = SUM( e3v_n(ji, jj, ikt:ikb - 1)) / zhisf_tbl(ji,jj) |
---|
| 814 | pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,ikb) * (1._wp - zhk) |
---|
| 815 | END DO |
---|
| 816 | END DO |
---|
| 817 | DO jj = 2,jpj |
---|
| 818 | DO ji = 2,jpi |
---|
| 819 | pvarout(ji,jj) = 0.5_wp * (pvarout(ji,jj) + pvarout(ji,jj-1)) |
---|
| 820 | END DO |
---|
| 821 | END DO |
---|
| 822 | CALL lbc_lnk(pvarout,'T',-1.) |
---|
| 823 | |
---|
| 824 | CASE ( 'T' ) ! compute T in the top boundary layer at T- point |
---|
| 825 | DO jj = 1,jpj |
---|
| 826 | DO ji = 1,jpi |
---|
| 827 | ikt = misfkt(ji,jj) |
---|
| 828 | ikb = misfkb(ji,jj) |
---|
| 829 | |
---|
[4666] | 830 | ! level fully include in the ice shelf boundary layer |
---|
| 831 | DO jk = ikt, ikb - 1 |
---|
[6140] | 832 | ze3 = e3t_n(ji,jj,jk) |
---|
| 833 | pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,jk) * r1_hisf_tbl(ji,jj) * ze3 |
---|
[4666] | 834 | END DO |
---|
| 835 | |
---|
| 836 | ! level partially include in ice shelf boundary layer |
---|
[6140] | 837 | zhk = SUM( e3t_n(ji, jj, ikt:ikb - 1)) * r1_hisf_tbl(ji,jj) |
---|
| 838 | pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,ikb) * (1._wp - zhk) |
---|
| 839 | END DO |
---|
[4666] | 840 | END DO |
---|
[6140] | 841 | END SELECT |
---|
[4666] | 842 | |
---|
[6140] | 843 | ! mask mean tbl value |
---|
| 844 | pvarout(:,:) = pvarout(:,:) * ssmask(:,:) |
---|
[4666] | 845 | |
---|
[6140] | 846 | ! deallocation |
---|
| 847 | CALL wrk_dealloc( jpi,jpj, zhisf_tbl ) |
---|
[5836] | 848 | ! |
---|
[4666] | 849 | END SUBROUTINE sbc_isf_tbl |
---|
| 850 | |
---|
| 851 | |
---|
| 852 | SUBROUTINE sbc_isf_div( phdivn ) |
---|
| 853 | !!---------------------------------------------------------------------- |
---|
| 854 | !! *** SUBROUTINE sbc_isf_div *** |
---|
| 855 | !! |
---|
| 856 | !! ** Purpose : update the horizontal divergence with the runoff inflow |
---|
| 857 | !! |
---|
| 858 | !! ** Method : |
---|
| 859 | !! CAUTION : risf_tsc(:,:,jp_sal) is negative (outflow) increase the |
---|
| 860 | !! divergence and expressed in m/s |
---|
| 861 | !! |
---|
| 862 | !! ** Action : phdivn decreased by the runoff inflow |
---|
| 863 | !!---------------------------------------------------------------------- |
---|
[6140] | 864 | REAL(wp), DIMENSION(:,:,:), INTENT( inout ) :: phdivn ! horizontal divergence |
---|
| 865 | ! |
---|
[4946] | 866 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 867 | INTEGER :: ikt, ikb |
---|
[6140] | 868 | REAL(wp) :: zhk |
---|
| 869 | REAL(wp) :: zfact ! local scalar |
---|
[4666] | 870 | !!---------------------------------------------------------------------- |
---|
| 871 | ! |
---|
| 872 | zfact = 0.5_wp |
---|
| 873 | ! |
---|
[6140] | 874 | IF(.NOT.ln_linssh ) THEN ! need to re compute level distribution of isf fresh water |
---|
[4666] | 875 | DO jj = 1,jpj |
---|
| 876 | DO ji = 1,jpi |
---|
| 877 | ikt = misfkt(ji,jj) |
---|
| 878 | ikb = misfkt(ji,jj) |
---|
| 879 | ! thickness of boundary layer at least the top level thickness |
---|
[6140] | 880 | rhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), e3t_n(ji,jj,ikt)) |
---|
[4666] | 881 | |
---|
| 882 | ! determine the deepest level influenced by the boundary layer |
---|
| 883 | DO jk = ikt, mbkt(ji,jj) |
---|
[6140] | 884 | IF ( (SUM(e3t_n(ji,jj,ikt:jk-1)) .LT. rhisf_tbl(ji,jj)) .AND. (tmask(ji,jj,jk) == 1) ) ikb = jk |
---|
[4666] | 885 | END DO |
---|
[6140] | 886 | rhisf_tbl(ji,jj) = MIN(rhisf_tbl(ji,jj), SUM(e3t_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness. |
---|
[4666] | 887 | misfkb(ji,jj) = ikb ! last wet level of the tbl |
---|
| 888 | r1_hisf_tbl(ji,jj) = 1._wp / rhisf_tbl(ji,jj) |
---|
[4726] | 889 | |
---|
[6140] | 890 | 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 |
---|
| 891 | ralpha(ji,jj) = rhisf_tbl(ji,jj) * (1._wp - zhk ) / e3t_n(ji,jj,ikb) ! proportion of bottom cell influenced by boundary layer |
---|
[4666] | 892 | END DO |
---|
| 893 | END DO |
---|
[6140] | 894 | END IF |
---|
[4666] | 895 | ! |
---|
[6140] | 896 | !== ice shelf melting distributed over several levels ==! |
---|
[4666] | 897 | DO jj = 1,jpj |
---|
| 898 | DO ji = 1,jpi |
---|
| 899 | ikt = misfkt(ji,jj) |
---|
| 900 | ikb = misfkb(ji,jj) |
---|
| 901 | ! level fully include in the ice shelf boundary layer |
---|
| 902 | DO jk = ikt, ikb - 1 |
---|
[4946] | 903 | phdivn(ji,jj,jk) = phdivn(ji,jj,jk) + ( fwfisf(ji,jj) + fwfisf_b(ji,jj) ) & |
---|
[6140] | 904 | & * r1_hisf_tbl(ji,jj) * r1_rau0 * zfact |
---|
[4666] | 905 | END DO |
---|
| 906 | ! level partially include in ice shelf boundary layer |
---|
[4946] | 907 | phdivn(ji,jj,ikb) = phdivn(ji,jj,ikb) + ( fwfisf(ji,jj) & |
---|
[6140] | 908 | & + fwfisf_b(ji,jj) ) * r1_hisf_tbl(ji,jj) * r1_rau0 * zfact * ralpha(ji,jj) |
---|
[4666] | 909 | END DO |
---|
| 910 | END DO |
---|
| 911 | ! |
---|
| 912 | END SUBROUTINE sbc_isf_div |
---|
[6140] | 913 | !!====================================================================== |
---|
[4666] | 914 | END MODULE sbcisf |
---|