| 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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| 9 | !! 3.4 ! 2013-03 (P. Mathiot) Merging + parametrization |
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| 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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| 20 | USE lbclnk ! |
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| 21 | USE iom ! I/O manager library |
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| 22 | USE in_out_manager ! I/O manager |
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| 23 | USE wrk_nemo ! Memory allocation |
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| 24 | USE timing ! Timing |
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| 25 | USE lib_fortran ! glob_sum |
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| 26 | USE zdfbfr |
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| 27 | USE fldread ! read input field at current time step |
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| 28 | |
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| 29 | |
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| 30 | |
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| 31 | IMPLICIT NONE |
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| 32 | PRIVATE |
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| 33 | |
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| 34 | PUBLIC sbc_isf, sbc_isf_div, sbc_isf_alloc ! routine called in sbcmod and divcur |
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| 35 | |
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| 36 | ! public in order to be able to output then |
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| 37 | |
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| 38 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: risf_tsc_b, risf_tsc |
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| 39 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: qisf !: net heat flux from ice shelf |
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| 40 | REAL(wp), PUBLIC :: rn_hisf_tbl !: thickness of top boundary layer [m] |
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| 41 | INTEGER , PUBLIC :: nn_isf !: flag to choose between explicit/param/specified |
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| 42 | INTEGER , PUBLIC :: nn_isfblk !: |
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| 43 | INTEGER , PUBLIC :: nn_gammablk !: |
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| 44 | REAL(wp), PUBLIC :: rn_gammat0 !: temperature exchange coeficient |
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| 45 | REAL(wp), PUBLIC :: rn_gammas0 !: salinity exchange coeficient |
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| 46 | |
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| 47 | REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: rzisf_tbl !:depth of calving front (shallowest point) nn_isf ==2/3 |
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| 48 | REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: rhisf_tbl, rhisf_tbl_0 !:thickness of tbl |
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| 49 | REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: r1_hisf_tbl !:1/thickness of tbl |
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| 50 | REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: ralpha !:proportion of bottom cell influenced by tbl |
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| 51 | REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: risfLeff !:effective length (Leff) BG03 nn_isf==2 |
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| 52 | REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: ttbl, stbl, utbl, vtbl !:top boundary layer variable at T point |
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| 53 | #if defined key_agrif |
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| 54 | ! AGRIF can not handle these arrays as integers. The reason is a mystery but problems avoided by declaring them as reals |
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| 55 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: misfkt, misfkb !:Level of ice shelf base |
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| 56 | !: (first wet level and last level include in the tbl) |
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| 57 | #else |
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| 58 | INTEGER, PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: misfkt, misfkb !:Level of ice shelf base |
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| 59 | #endif |
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| 60 | |
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| 61 | |
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| 62 | REAL(wp), PUBLIC, SAVE :: rcpi = 2000.0_wp ! phycst ? |
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| 63 | REAL(wp), PUBLIC, SAVE :: rkappa = 1.54e-6_wp ! phycst ? |
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| 64 | REAL(wp), PUBLIC, SAVE :: rhoisf = 920.0_wp ! phycst ? |
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| 65 | REAL(wp), PUBLIC, SAVE :: tsurf = -20.0_wp ! phycst ? |
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| 66 | REAL(wp), PUBLIC, SAVE :: rlfusisf = 0.334e6_wp ! phycst ? |
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| 67 | |
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| 68 | !: Variable used in fldread to read the forcing file (nn_isf == 4 .OR. nn_isf == 3) |
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| 69 | CHARACTER(len=100), PUBLIC :: cn_dirisf = './' !: Root directory for location of ssr files |
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| 70 | TYPE(FLD_N) , PUBLIC :: sn_fwfisf !: information about the isf file to be read |
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| 71 | TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf_fwfisf |
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| 72 | TYPE(FLD_N) , PUBLIC :: sn_rnfisf !: information about the runoff file to be read |
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| 73 | TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf_rnfisf |
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| 74 | TYPE(FLD_N) , PUBLIC :: sn_depmax_isf !: information about the runoff file to be read ?? |
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| 75 | TYPE(FLD_N) , PUBLIC :: sn_depmin_isf !: information about the runoff file to be read ?? |
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| 76 | TYPE(FLD_N) , PUBLIC :: sn_Leff_isf !: information about the runoff file to be read ?? |
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| 77 | |
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| 78 | !! * Substitutions |
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| 79 | # include "domzgr_substitute.h90" |
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| 80 | !!---------------------------------------------------------------------- |
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| 81 | !! NEMO/OPA 3.0 , LOCEAN-IPSL (2008) |
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| 82 | !! $Id$ |
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| 83 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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| 84 | !!---------------------------------------------------------------------- |
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| 85 | |
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| 86 | CONTAINS |
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| 87 | |
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| 88 | SUBROUTINE sbc_isf(kt) |
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| 89 | !!--------------------------------------------------------------------- |
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| 90 | !! *** ROUTINE sbc_isf *** |
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| 91 | !! |
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| 92 | !! ** Purpose : Compute Salt and Heat fluxes related to ice_shelf |
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| 93 | !! melting and freezing |
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| 94 | !! |
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| 95 | !! ** Method : 4 parameterizations are available according to nn_isf |
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| 96 | !! nn_isf = 1 : Realistic ice_shelf formulation |
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| 97 | !! 2 : Beckmann & Goose parameterization |
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| 98 | !! 3 : Specified runoff in deptht (Mathiot & al. ) |
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| 99 | !! 4 : specified fwf and heat flux forcing beneath the ice shelf |
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| 100 | !!---------------------------------------------------------------------- |
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| 101 | INTEGER, INTENT( in ) :: kt ! ocean time step |
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| 102 | ! |
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| 103 | INTEGER :: ji, jj ! loop index |
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| 104 | REAL(wp), DIMENSION (:,:), POINTER :: zt_frz, zdep ! freezing temperature (zt_frz) at depth (zdep) |
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| 105 | !!--------------------------------------------------------------------- |
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| 106 | ! |
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| 107 | ! ! ====================== ! |
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| 108 | IF( kt == nit000 ) THEN ! First call kt=nit000 ! |
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| 109 | ! ! ====================== ! |
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| 110 | CALL sbc_isf_init |
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| 111 | ! ! ---------------------------------------- ! |
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| 112 | ELSE ! Swap of forcing fields ! |
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| 113 | ! ! ---------------------------------------- ! |
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| 114 | fwfisf_b (:,: ) = fwfisf (:,: ) ! Swap the ocean forcing fields except at nit000 |
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| 115 | risf_tsc_b(:,:,:) = risf_tsc(:,:,:) ! where before fields are set at the end of the routine |
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| 116 | ! |
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| 117 | END IF |
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| 118 | |
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| 119 | IF( MOD( kt-1, nn_fsbc) == 0 ) THEN |
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| 120 | ! allocation |
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| 121 | CALL wrk_alloc( jpi,jpj, zt_frz, zdep ) |
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| 122 | |
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| 123 | ! compute salt and heat flux |
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| 124 | SELECT CASE ( nn_isf ) |
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| 125 | CASE ( 1 ) ! realistic ice shelf formulation |
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| 126 | ! compute T/S/U/V for the top boundary layer |
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| 127 | CALL sbc_isf_tbl(tsn(:,:,:,jp_tem),ttbl(:,:),'T') |
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| 128 | CALL sbc_isf_tbl(tsn(:,:,:,jp_sal),stbl(:,:),'T') |
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| 129 | CALL sbc_isf_tbl(un(:,:,:) ,utbl(:,:),'U') |
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| 130 | CALL sbc_isf_tbl(vn(:,:,:) ,vtbl(:,:),'V') |
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| 131 | ! iom print |
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| 132 | CALL iom_put('ttbl',ttbl(:,:)) |
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| 133 | CALL iom_put('stbl',stbl(:,:)) |
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| 134 | CALL iom_put('utbl',utbl(:,:)) |
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| 135 | CALL iom_put('vtbl',vtbl(:,:)) |
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| 136 | ! compute fwf and heat flux |
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| 137 | CALL sbc_isf_cav (kt) |
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| 138 | |
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| 139 | CASE ( 2 ) ! Beckmann and Goosse parametrisation |
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| 140 | stbl(:,:) = soce |
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| 141 | CALL sbc_isf_bg03(kt) |
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| 142 | |
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| 143 | CASE ( 3 ) ! specified runoff in depth (Mathiot et al., XXXX in preparation) |
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| 144 | CALL fld_read ( kt, nn_fsbc, sf_rnfisf ) |
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| 145 | fwfisf(:,:) = - sf_rnfisf(1)%fnow(:,:,1) ! fwf flux from the isf (fwfisf <0 mean melting) |
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| 146 | qisf(:,:) = fwfisf(:,:) * rlfusisf ! heat flux |
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| 147 | stbl(:,:) = soce |
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| 148 | |
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| 149 | CASE ( 4 ) ! specified fwf and heat flux forcing beneath the ice shelf |
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| 150 | CALL fld_read ( kt, nn_fsbc, sf_fwfisf ) |
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| 151 | fwfisf(:,:) = - sf_fwfisf(1)%fnow(:,:,1) ! fwf flux from the isf (fwfisf <0 mean melting) |
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| 152 | qisf(:,:) = fwfisf(:,:) * rlfusisf ! heat flux |
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| 153 | stbl(:,:) = soce |
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| 154 | |
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| 155 | END SELECT |
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| 156 | |
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| 157 | ! compute tsc due to isf |
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| 158 | ! isf melting implemented as a volume flux and we assume that melt water is at 0 PSU. |
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| 159 | ! WARNING water add at temp = 0C, need to add a correction term (fwfisf * tfreez / rau0). |
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| 160 | ! compute freezing point beneath ice shelf (or top cell if nn_isf = 3) |
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| 161 | DO jj = 1,jpj |
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| 162 | DO ji = 1,jpi |
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| 163 | zdep(ji,jj)=fsdepw_n(ji,jj,misfkt(ji,jj)) |
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| 164 | END DO |
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| 165 | END DO |
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| 166 | CALL eos_fzp( stbl(:,:), zt_frz(:,:), zdep(:,:) ) |
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| 167 | |
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| 168 | risf_tsc(:,:,jp_tem) = qisf(:,:) * r1_rau0_rcp - fwfisf(:,:) * zt_frz(:,:) * r1_rau0 ! |
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| 169 | risf_tsc(:,:,jp_sal) = 0.0_wp |
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| 170 | |
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| 171 | ! lbclnk |
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| 172 | CALL lbc_lnk(risf_tsc(:,:,jp_tem),'T',1.) |
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| 173 | CALL lbc_lnk(risf_tsc(:,:,jp_sal),'T',1.) |
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| 174 | CALL lbc_lnk(fwfisf(:,:) ,'T',1.) |
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| 175 | CALL lbc_lnk(qisf(:,:) ,'T',1.) |
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| 176 | |
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| 177 | IF( kt == nit000 ) THEN ! set the forcing field at nit000 - 1 ! |
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| 178 | IF( ln_rstart .AND. & ! Restart: read in restart file |
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| 179 | & iom_varid( numror, 'fwf_isf_b', ldstop = .FALSE. ) > 0 ) THEN |
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| 180 | IF(lwp) WRITE(numout,*) ' nit000-1 isf tracer content forcing fields read in the restart file' |
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| 181 | CALL iom_get( numror, jpdom_autoglo, 'fwf_isf_b', fwfisf_b(:,:) ) ! before salt content isf_tsc trend |
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| 182 | CALL iom_get( numror, jpdom_autoglo, 'isf_sc_b', risf_tsc_b(:,:,jp_sal) ) ! before salt content isf_tsc trend |
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| 183 | CALL iom_get( numror, jpdom_autoglo, 'isf_hc_b', risf_tsc_b(:,:,jp_tem) ) ! before salt content isf_tsc trend |
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| 184 | ELSE |
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| 185 | fwfisf_b(:,:) = fwfisf(:,:) |
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| 186 | risf_tsc_b(:,:,:)= risf_tsc(:,:,:) |
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| 187 | END IF |
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| 188 | END IF |
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| 189 | ! |
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| 190 | ! output |
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| 191 | ! JMM : iom_use not necessary here, qisf and fwfisf are always computed. |
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| 192 | ! If not required in iodef.xml, iom_put does not do anything |
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| 193 | ! IF( iom_use('qisf' ) ) CALL iom_put('qisf' , qisf) |
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| 194 | ! IF( iom_use('fwfisf') ) CALL iom_put('fwfisf', fwfisf) |
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| 195 | CALL iom_put('qisf' , qisf) |
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| 196 | CALL iom_put('fwfisf', fwfisf) |
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| 197 | |
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| 198 | ! deallocation |
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| 199 | CALL wrk_dealloc( jpi,jpj, zt_frz, zdep ) |
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| 200 | END IF |
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| 201 | |
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| 202 | END SUBROUTINE sbc_isf |
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| 203 | |
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| 204 | INTEGER FUNCTION sbc_isf_alloc() |
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| 205 | !!---------------------------------------------------------------------- |
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| 206 | !! *** FUNCTION sbc_isf_rnf_alloc *** |
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| 207 | !!---------------------------------------------------------------------- |
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| 208 | sbc_isf_alloc = 0 ! set to zero if no array to be allocated |
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| 209 | IF( .NOT. ALLOCATED( qisf ) ) THEN |
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| 210 | ALLOCATE( risf_tsc(jpi,jpj,jpts), risf_tsc_b(jpi,jpj,jpts), qisf(jpi,jpj) , & |
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| 211 | & rhisf_tbl(jpi,jpj) , r1_hisf_tbl(jpi,jpj), rzisf_tbl(jpi,jpj) , & |
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| 212 | & ttbl(jpi,jpj) , stbl(jpi,jpj) , utbl(jpi,jpj) , & |
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| 213 | & vtbl(jpi, jpj) , risfLeff(jpi,jpj) , rhisf_tbl_0(jpi,jpj), & |
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| 214 | & ralpha(jpi,jpj) , misfkt(jpi,jpj) , misfkb(jpi,jpj) , & |
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| 215 | & STAT= sbc_isf_alloc ) |
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| 216 | ! |
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| 217 | IF( lk_mpp ) CALL mpp_sum ( sbc_isf_alloc ) |
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| 218 | IF( sbc_isf_alloc /= 0 ) CALL ctl_warn('sbc_isf_alloc: failed to allocate arrays.') |
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| 219 | ! |
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| 220 | END IF |
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| 221 | END FUNCTION |
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| 222 | |
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| 223 | SUBROUTINE sbc_isf_init |
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| 224 | !!--------------------------------------------------------------------- |
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| 225 | !! *** ROUTINE sbc_isf_init *** |
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| 226 | !! |
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| 227 | !! ** Purpose : Initialisation of variables for iceshelf fluxes formulation |
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| 228 | !! |
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| 229 | !! ** Method : 4 parameterizations are available according to nn_isf |
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| 230 | !! nn_isf = 1 : Realistic ice_shelf formulation |
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| 231 | !! 2 : Beckmann & Goose parameterization |
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| 232 | !! 3 : Specified runoff in deptht (Mathiot & al. ) |
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| 233 | !! 4 : specified fwf and heat flux forcing beneath the ice shelf |
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| 234 | !!---------------------------------------------------------------------- |
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| 235 | INTEGER :: ji, jj, jk ! loop index |
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| 236 | INTEGER :: ik ! current level index |
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| 237 | INTEGER :: ikt, ikb ! top and bottom level of the isf boundary layer |
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| 238 | INTEGER :: inum, ierror |
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| 239 | INTEGER :: ios ! Local integer output status for namelist read |
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| 240 | REAL(wp) :: zhk |
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| 241 | CHARACTER(len=256) :: cvarzisf, cvarhisf ! name for isf file |
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| 242 | CHARACTER(LEN=32 ) :: cvarLeff ! variable name for efficient Length scale |
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| 243 | !!---------------------------------------------------------------------- |
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| 244 | NAMELIST/namsbc_isf/ nn_isfblk, rn_hisf_tbl, rn_gammat0, rn_gammas0, nn_gammablk, nn_isf, & |
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| 245 | & sn_fwfisf, sn_rnfisf, sn_depmax_isf, sn_depmin_isf, sn_Leff_isf |
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| 246 | !!---------------------------------------------------------------------- |
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| 247 | |
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| 248 | REWIND( numnam_ref ) ! Namelist namsbc_rnf in reference namelist : Runoffs |
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| 249 | READ ( numnam_ref, namsbc_isf, IOSTAT = ios, ERR = 901) |
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| 250 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_isf in reference namelist', lwp ) |
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| 251 | |
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| 252 | REWIND( numnam_cfg ) ! Namelist namsbc_rnf in configuration namelist : Runoffs |
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| 253 | READ ( numnam_cfg, namsbc_isf, IOSTAT = ios, ERR = 902 ) |
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| 254 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_isf in configuration namelist', lwp ) |
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| 255 | IF(lwm) WRITE ( numond, namsbc_isf ) |
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| 256 | |
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| 257 | IF ( lwp ) WRITE(numout,*) |
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| 258 | IF ( lwp ) WRITE(numout,*) 'sbc_isf: heat flux of the ice shelf' |
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| 259 | IF ( lwp ) WRITE(numout,*) '~~~~~~~~~' |
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| 260 | IF ( lwp ) WRITE(numout,*) 'sbcisf :' |
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| 261 | IF ( lwp ) WRITE(numout,*) '~~~~~~~~' |
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| 262 | IF ( lwp ) WRITE(numout,*) ' nn_isf = ', nn_isf |
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| 263 | IF ( lwp ) WRITE(numout,*) ' nn_isfblk = ', nn_isfblk |
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| 264 | IF ( lwp ) WRITE(numout,*) ' rn_hisf_tbl = ', rn_hisf_tbl |
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| 265 | IF ( lwp ) WRITE(numout,*) ' nn_gammablk = ', nn_gammablk |
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| 266 | IF ( lwp ) WRITE(numout,*) ' rn_gammat0 = ', rn_gammat0 |
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| 267 | IF ( lwp ) WRITE(numout,*) ' rn_gammas0 = ', rn_gammas0 |
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| 268 | IF ( lwp ) WRITE(numout,*) ' rn_tfri2 = ', rn_tfri2 |
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| 269 | ! |
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| 270 | ! Allocate public variable |
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| 271 | IF ( sbc_isf_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'sbc_isf : unable to allocate arrays' ) |
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| 272 | ! |
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| 273 | ! initialisation |
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| 274 | qisf(:,:) = 0._wp ; fwfisf (:,:) = 0._wp |
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| 275 | risf_tsc(:,:,:) = 0._wp ; fwfisf_b(:,:) = 0._wp |
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| 276 | ! |
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| 277 | ! define isf tbl tickness, top and bottom indice |
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| 278 | SELECT CASE ( nn_isf ) |
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| 279 | CASE ( 1 ) |
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| 280 | rhisf_tbl(:,:) = rn_hisf_tbl |
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| 281 | misfkt(:,:) = mikt(:,:) ! same indice for bg03 et cav => used in isfdiv |
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| 282 | |
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| 283 | CASE ( 2 , 3 ) |
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| 284 | ALLOCATE( sf_rnfisf(1), STAT=ierror ) |
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| 285 | ALLOCATE( sf_rnfisf(1)%fnow(jpi,jpj,1), sf_rnfisf(1)%fdta(jpi,jpj,1,2) ) |
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| 286 | CALL fld_fill( sf_rnfisf, (/ sn_rnfisf /), cn_dirisf, 'sbc_isf_init', 'read fresh water flux isf data', 'namsbc_isf' ) |
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| 287 | |
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| 288 | ! read effective lenght (BG03) |
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| 289 | IF (nn_isf == 2) THEN |
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| 290 | CALL iom_open( sn_Leff_isf%clname, inum ) |
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| 291 | cvarLeff = TRIM(sn_Leff_isf%clvar) |
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| 292 | CALL iom_get( inum, jpdom_data, cvarLeff, risfLeff , 1) |
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| 293 | CALL iom_close(inum) |
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| 294 | ! |
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| 295 | risfLeff = risfLeff*1000.0_wp !: convertion in m |
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| 296 | END IF |
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| 297 | |
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| 298 | ! read depth of the top and bottom of the isf top boundary layer (in this case, isf front depth and grounding line depth) |
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| 299 | CALL iom_open( sn_depmax_isf%clname, inum ) |
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| 300 | cvarhisf = TRIM(sn_depmax_isf%clvar) |
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| 301 | CALL iom_get( inum, jpdom_data, cvarhisf, rhisf_tbl, 1) !: depth of deepest point of the ice shelf base |
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| 302 | CALL iom_close(inum) |
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| 303 | ! |
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| 304 | CALL iom_open( sn_depmin_isf%clname, inum ) |
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| 305 | cvarzisf = TRIM(sn_depmin_isf%clvar) |
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| 306 | CALL iom_get( inum, jpdom_data, cvarzisf, rzisf_tbl, 1) !: depth of shallowest point of the ice shelves base |
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| 307 | CALL iom_close(inum) |
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| 308 | ! |
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| 309 | rhisf_tbl(:,:) = rhisf_tbl(:,:) - rzisf_tbl(:,:) !: tickness isf boundary layer |
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| 310 | |
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| 311 | !! compute first level of the top boundary layer |
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| 312 | DO ji = 1, jpi |
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| 313 | DO jj = 1, jpj |
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| 314 | ik = 2 |
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| 315 | DO WHILE ( ik <= mbkt(ji,jj) .AND. fsdepw(ji,jj,ik) < rzisf_tbl(ji,jj) ) ; ik = ik + 1 ; END DO |
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| 316 | misfkt(ji,jj) = ik-1 |
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| 317 | END DO |
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| 318 | END DO |
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| 319 | |
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| 320 | CASE ( 4 ) |
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| 321 | ! as in nn_isf == 1 |
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| 322 | rhisf_tbl(:,:) = rn_hisf_tbl |
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| 323 | misfkt(:,:) = mikt(:,:) ! same indice for bg03 et cav => used in isfdiv |
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| 324 | |
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| 325 | ! load variable used in fldread (use for temporal interpolation of isf fwf forcing) |
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| 326 | ALLOCATE( sf_fwfisf(1), STAT=ierror ) |
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| 327 | ALLOCATE( sf_fwfisf(1)%fnow(jpi,jpj,1), sf_fwfisf(1)%fdta(jpi,jpj,1,2) ) |
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| 328 | CALL fld_fill( sf_fwfisf, (/ sn_fwfisf /), cn_dirisf, 'sbc_isf_init', 'read fresh water flux isf data', 'namsbc_isf' ) |
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| 329 | |
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| 330 | END SELECT |
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| 331 | |
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| 332 | rhisf_tbl_0(:,:) = rhisf_tbl(:,:) |
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| 333 | |
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| 334 | ! compute bottom level of isf tbl and thickness of tbl below the ice shelf |
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| 335 | DO jj = 1,jpj |
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| 336 | DO ji = 1,jpi |
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| 337 | ikt = misfkt(ji,jj) |
|---|
| 338 | ikb = misfkt(ji,jj) |
|---|
| 339 | ! thickness of boundary layer at least the top level thickness |
|---|
| 340 | rhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), fse3t_n(ji,jj,ikt)) |
|---|
| 341 | |
|---|
| 342 | ! determine the deepest level influenced by the boundary layer |
|---|
| 343 | DO jk = ikt+1, mbkt(ji,jj) |
|---|
| 344 | IF ( (SUM(fse3t_n(ji,jj,ikt:jk-1)) < rhisf_tbl(ji,jj)) .AND. (tmask(ji,jj,jk) == 1) ) ikb = jk |
|---|
| 345 | END DO |
|---|
| 346 | rhisf_tbl(ji,jj) = MIN(rhisf_tbl(ji,jj), SUM(fse3t_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness. |
|---|
| 347 | misfkb(ji,jj) = ikb ! last wet level of the tbl |
|---|
| 348 | r1_hisf_tbl(ji,jj) = 1._wp / rhisf_tbl(ji,jj) |
|---|
| 349 | |
|---|
| 350 | zhk = SUM( fse3t(ji, jj, ikt:ikb - 1)) * r1_hisf_tbl(ji,jj) ! proportion of tbl cover by cell from ikt to ikb - 1 |
|---|
| 351 | ralpha(ji,jj) = rhisf_tbl(ji,jj) * (1._wp - zhk ) / fse3t(ji,jj,ikb) ! proportion of bottom cell influenced by boundary layer |
|---|
| 352 | END DO |
|---|
| 353 | END DO |
|---|
| 354 | |
|---|
| 355 | END SUBROUTINE sbc_isf_init |
|---|
| 356 | |
|---|
| 357 | SUBROUTINE sbc_isf_bg03(kt) |
|---|
| 358 | !!--------------------------------------------------------------------- |
|---|
| 359 | !! *** ROUTINE sbc_isf_bg03 *** |
|---|
| 360 | !! |
|---|
| 361 | !! ** Purpose : add net heat and fresh water flux from ice shelf melting |
|---|
| 362 | !! into the adjacent ocean |
|---|
| 363 | !! |
|---|
| 364 | !! ** Method : See reference |
|---|
| 365 | !! |
|---|
| 366 | !! ** Reference : Beckmann and Goosse (2003), "A parameterization of ice shelf-ocean |
|---|
| 367 | !! interaction for climate models", Ocean Modelling 5(2003) 157-170. |
|---|
| 368 | !! (hereafter BG) |
|---|
| 369 | !! History : |
|---|
| 370 | !! 06-02 (C. Wang) Original code |
|---|
| 371 | !!---------------------------------------------------------------------- |
|---|
| 372 | INTEGER, INTENT ( in ) :: kt |
|---|
| 373 | ! |
|---|
| 374 | INTEGER :: ji, jj, jk ! dummy loop index |
|---|
| 375 | INTEGER :: ik ! current level |
|---|
| 376 | REAL(wp) :: zt_sum ! sum of the temperature between 200m and 600m |
|---|
| 377 | REAL(wp) :: zt_ave ! averaged temperature between 200m and 600m |
|---|
| 378 | REAL(wp) :: zt_frz ! freezing point temperature at depth z |
|---|
| 379 | REAL(wp) :: zpress ! pressure to compute the freezing point in depth |
|---|
| 380 | !!---------------------------------------------------------------------- |
|---|
| 381 | |
|---|
| 382 | IF ( nn_timing == 1 ) CALL timing_start('sbc_isf_bg03') |
|---|
| 383 | ! |
|---|
| 384 | DO ji = 1, jpi |
|---|
| 385 | DO jj = 1, jpj |
|---|
| 386 | ik = misfkt(ji,jj) |
|---|
| 387 | !! Initialize arrays to 0 (each step) |
|---|
| 388 | zt_sum = 0.e0_wp |
|---|
| 389 | IF ( ik > 1 ) THEN |
|---|
| 390 | ! 1. -----------the average temperature between 200m and 600m --------------------- |
|---|
| 391 | DO jk = misfkt(ji,jj),misfkb(ji,jj) |
|---|
| 392 | ! freezing point temperature at ice shelf base BG eq. 2 (JMM sign pb ??? +7.64e-4 !!!) |
|---|
| 393 | ! after verif with UNESCO, wrong sign in BG eq. 2 |
|---|
| 394 | ! Calculate freezing temperature |
|---|
| 395 | CALL eos_fzp(stbl(ji,jj), zt_frz, zpress) |
|---|
| 396 | zt_sum = zt_sum + (tsn(ji,jj,jk,jp_tem)-zt_frz) * fse3t(ji,jj,jk) * tmask(ji,jj,jk) ! sum temp |
|---|
| 397 | END DO |
|---|
| 398 | zt_ave = zt_sum/rhisf_tbl(ji,jj) ! calcul mean value |
|---|
| 399 | ! 2. ------------Net heat flux and fresh water flux due to the ice shelf |
|---|
| 400 | ! For those corresponding to zonal boundary |
|---|
| 401 | qisf(ji,jj) = - rau0 * rcp * rn_gammat0 * risfLeff(ji,jj) * e1t(ji,jj) * zt_ave & |
|---|
| 402 | & * r1_e12t(ji,jj) * tmask(ji,jj,jk) |
|---|
| 403 | |
|---|
| 404 | fwfisf(ji,jj) = qisf(ji,jj) / rlfusisf !fresh water flux kg/(m2s) |
|---|
| 405 | fwfisf(ji,jj) = fwfisf(ji,jj) * ( soce / stbl(ji,jj) ) |
|---|
| 406 | !add to salinity trend |
|---|
| 407 | ELSE |
|---|
| 408 | qisf(ji,jj) = 0._wp ; fwfisf(ji,jj) = 0._wp |
|---|
| 409 | END IF |
|---|
| 410 | END DO |
|---|
| 411 | END DO |
|---|
| 412 | ! |
|---|
| 413 | IF( nn_timing == 1 ) CALL timing_stop('sbc_isf_bg03') |
|---|
| 414 | |
|---|
| 415 | END SUBROUTINE sbc_isf_bg03 |
|---|
| 416 | |
|---|
| 417 | SUBROUTINE sbc_isf_cav( kt ) |
|---|
| 418 | !!--------------------------------------------------------------------- |
|---|
| 419 | !! *** ROUTINE sbc_isf_cav *** |
|---|
| 420 | !! |
|---|
| 421 | !! ** Purpose : handle surface boundary condition under ice shelf |
|---|
| 422 | !! |
|---|
| 423 | !! ** Method : - |
|---|
| 424 | !! |
|---|
| 425 | !! ** Action : utau, vtau : remain unchanged |
|---|
| 426 | !! taum, wndm : remain unchanged |
|---|
| 427 | !! qns : update heat flux below ice shelf |
|---|
| 428 | !! emp, emps : update freshwater flux below ice shelf |
|---|
| 429 | !!--------------------------------------------------------------------- |
|---|
| 430 | INTEGER, INTENT(in) :: kt ! ocean time step |
|---|
| 431 | ! |
|---|
| 432 | INTEGER :: ji, jj ! dummy loop indices |
|---|
| 433 | INTEGER :: nit |
|---|
| 434 | REAL(wp) :: zlamb1, zlamb2, zlamb3 |
|---|
| 435 | REAL(wp) :: zeps1,zeps2,zeps3,zeps4,zeps6,zeps7 |
|---|
| 436 | REAL(wp) :: zaqe,zbqe,zcqe,zaqer,zdis,zsfrz,zcfac |
|---|
| 437 | REAL(wp) :: zeps = 1.e-20_wp |
|---|
| 438 | REAL(wp) :: zerr |
|---|
| 439 | REAL(wp), DIMENSION(:,:), POINTER :: zfrz |
|---|
| 440 | REAL(wp), DIMENSION(:,:), POINTER :: zgammat, zgammas |
|---|
| 441 | REAL(wp), DIMENSION(:,:), POINTER :: zfwflx, zhtflx, zhtflx_b |
|---|
| 442 | LOGICAL :: lit |
|---|
| 443 | !!--------------------------------------------------------------------- |
|---|
| 444 | ! coeficient for linearisation of potential tfreez |
|---|
| 445 | ! Crude approximation for pressure (but commonly used) |
|---|
| 446 | zlamb1 =-0.0573_wp |
|---|
| 447 | zlamb2 = 0.0832_wp |
|---|
| 448 | zlamb3 =-7.53e-08_wp * grav * rau0 |
|---|
| 449 | IF( nn_timing == 1 ) CALL timing_start('sbc_isf_cav') |
|---|
| 450 | ! |
|---|
| 451 | CALL wrk_alloc( jpi,jpj, zfrz , zgammat, zgammas ) |
|---|
| 452 | CALL wrk_alloc( jpi,jpj, zfwflx, zhtflx , zhtflx_b ) |
|---|
| 453 | |
|---|
| 454 | ! initialisation |
|---|
| 455 | zgammat(:,:) = rn_gammat0 ; zgammas (:,:) = rn_gammas0 |
|---|
| 456 | zhtflx (:,:) = 0.0_wp ; zhtflx_b(:,:) = 0.0_wp |
|---|
| 457 | zfwflx (:,:) = 0.0_wp |
|---|
| 458 | |
|---|
| 459 | ! compute ice shelf melting |
|---|
| 460 | nit = 1 ; lit = .TRUE. |
|---|
| 461 | DO WHILE ( lit ) ! maybe just a constant number of iteration as in blk_core is fine |
|---|
| 462 | SELECT CASE ( nn_isfblk ) |
|---|
| 463 | CASE ( 1 ) ! ISOMIP formulation (2 equations) for volume flux (Hunter et al., 2006) |
|---|
| 464 | ! Calculate freezing temperature |
|---|
| 465 | CALL eos_fzp( stbl(:,:), zfrz(:,:), risfdep(:,:) ) |
|---|
| 466 | |
|---|
| 467 | ! compute gammat every where (2d) |
|---|
| 468 | CALL sbc_isf_gammats(zgammat, zgammas, zhtflx, zfwflx) |
|---|
| 469 | |
|---|
| 470 | ! compute upward heat flux zhtflx and upward water flux zwflx |
|---|
| 471 | DO jj = 1, jpj |
|---|
| 472 | DO ji = 1, jpi |
|---|
| 473 | zhtflx(ji,jj) = zgammat(ji,jj)*rcp*rau0*(ttbl(ji,jj)-zfrz(ji,jj)) |
|---|
| 474 | zfwflx(ji,jj) = - zhtflx(ji,jj)/rlfusisf |
|---|
| 475 | END DO |
|---|
| 476 | END DO |
|---|
| 477 | |
|---|
| 478 | ! Compute heat flux and upward fresh water flux |
|---|
| 479 | qisf (:,:) = - zhtflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:) |
|---|
| 480 | fwfisf(:,:) = zfwflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:) |
|---|
| 481 | |
|---|
| 482 | CASE ( 2 ) ! ISOMIP+ formulation (3 equations) for volume flux (Asay-Davis et al., 2015) |
|---|
| 483 | ! compute gammat every where (2d) |
|---|
| 484 | CALL sbc_isf_gammats(zgammat, zgammas, zhtflx, zfwflx) |
|---|
| 485 | |
|---|
| 486 | ! compute upward heat flux zhtflx and upward water flux zwflx |
|---|
| 487 | ! Resolution of a 2d equation from equation 21, 22 and 23 to find Sb (Asay-Davis et al., 2015) |
|---|
| 488 | DO jj = 1, jpj |
|---|
| 489 | DO ji = 1, jpi |
|---|
| 490 | ! compute coeficient to solve the 2nd order equation |
|---|
| 491 | zeps1 = rcp*rau0*zgammat(ji,jj) |
|---|
| 492 | zeps2 = rlfusisf*rau0*zgammas(ji,jj) |
|---|
| 493 | zeps3 = rhoisf*rcpi*rkappa/MAX(risfdep(ji,jj),zeps) |
|---|
| 494 | zeps4 = zlamb2+zlamb3*risfdep(ji,jj) |
|---|
| 495 | zeps6 = zeps4-ttbl(ji,jj) |
|---|
| 496 | zeps7 = zeps4-tsurf |
|---|
| 497 | zaqe = zlamb1 * (zeps1 + zeps3) |
|---|
| 498 | zaqer = 0.5_wp/MIN(zaqe,-zeps) |
|---|
| 499 | zbqe = zeps1*zeps6+zeps3*zeps7-zeps2 |
|---|
| 500 | zcqe = zeps2*stbl(ji,jj) |
|---|
| 501 | zdis = zbqe*zbqe-4.0_wp*zaqe*zcqe |
|---|
| 502 | |
|---|
| 503 | ! Presumably zdis can never be negative because gammas is very small compared to gammat |
|---|
| 504 | ! compute s freeze |
|---|
| 505 | zsfrz=(-zbqe-SQRT(zdis))*zaqer |
|---|
| 506 | IF ( zsfrz < 0.0_wp ) zsfrz=(-zbqe+SQRT(zdis))*zaqer |
|---|
| 507 | |
|---|
| 508 | ! compute t freeze (eq. 22) |
|---|
| 509 | zfrz(ji,jj)=zeps4+zlamb1*zsfrz |
|---|
| 510 | |
|---|
| 511 | ! zfwflx is upward water flux |
|---|
| 512 | ! zhtflx is upward heat flux (out of ocean) |
|---|
| 513 | ! compute the upward water and heat flux (eq. 28 and eq. 29) |
|---|
| 514 | zfwflx(ji,jj) = rau0 * zgammas(ji,jj) * (zsfrz-stbl(ji,jj)) / MAX(zsfrz,zeps) |
|---|
| 515 | zhtflx(ji,jj) = zgammat(ji,jj) * rau0 * rcp * (ttbl(ji,jj) - zfrz(ji,jj) ) |
|---|
| 516 | END DO |
|---|
| 517 | END DO |
|---|
| 518 | |
|---|
| 519 | ! compute heat and water flux |
|---|
| 520 | qisf (:,:) = - zhtflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:) |
|---|
| 521 | fwfisf(:,:) = zfwflx(:,:) * (1._wp - tmask(:,:,1)) * ssmask(:,:) |
|---|
| 522 | |
|---|
| 523 | END SELECT |
|---|
| 524 | |
|---|
| 525 | ! define if we need to iterate (nn_gammablk 0/1 do not need iteration) |
|---|
| 526 | IF ( nn_gammablk < 2 ) THEN ; lit = .FALSE. |
|---|
| 527 | ELSE |
|---|
| 528 | ! check total number of iteration |
|---|
| 529 | IF (nit >= 100) THEN ; CALL ctl_stop( 'STOP', 'sbc_isf_hol99 : too many iteration ...' ) |
|---|
| 530 | ELSE ; nit = nit + 1 |
|---|
| 531 | END IF |
|---|
| 532 | |
|---|
| 533 | ! compute error between 2 iterations |
|---|
| 534 | ! if needed save gammat and compute zhtflx_b for next iteration |
|---|
| 535 | zerr = MAXVAL(ABS(zhtflx-zhtflx_b)) |
|---|
| 536 | IF ( zerr <= 0.01_wp ) THEN ; lit = .FALSE. |
|---|
| 537 | ELSE ; zhtflx_b(:,:) = zhtflx(:,:) |
|---|
| 538 | END IF |
|---|
| 539 | END IF |
|---|
| 540 | END DO |
|---|
| 541 | ! |
|---|
| 542 | ! output see JMM comment above |
|---|
| 543 | ! IF( iom_use('isfgammat') ) CALL iom_put('isfgammat', zgammat) |
|---|
| 544 | ! IF( iom_use('isfgammas') ) CALL iom_put('isfgammas', zgammas) |
|---|
| 545 | CALL iom_put('isfgammat', zgammat) |
|---|
| 546 | CALL iom_put('isfgammas', zgammas) |
|---|
| 547 | ! |
|---|
| 548 | CALL wrk_dealloc( jpi,jpj, zfrz , zgammat, zgammas ) |
|---|
| 549 | CALL wrk_dealloc( jpi,jpj, zfwflx, zhtflx , zhtflx_b ) |
|---|
| 550 | ! |
|---|
| 551 | IF( nn_timing == 1 ) CALL timing_stop('sbc_isf_cav') |
|---|
| 552 | |
|---|
| 553 | END SUBROUTINE sbc_isf_cav |
|---|
| 554 | |
|---|
| 555 | SUBROUTINE sbc_isf_gammats(pgt, pgs, pqhisf, pqwisf ) |
|---|
| 556 | !!---------------------------------------------------------------------- |
|---|
| 557 | !! ** Purpose : compute the coefficient echange for heat flux |
|---|
| 558 | !! |
|---|
| 559 | !! ** Method : gamma assume constant or depends of u* and stability |
|---|
| 560 | !! |
|---|
| 561 | !! ** References : Holland and Jenkins, 1999, JPO, p1787-1800, eq 14 |
|---|
| 562 | !! Jenkins et al., 2010, JPO, p2298-2312 |
|---|
| 563 | !!--------------------------------------------------------------------- |
|---|
| 564 | REAL(wp), DIMENSION(:,:), INTENT(out) :: pgt, pgs |
|---|
| 565 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pqhisf, pqwisf |
|---|
| 566 | ! |
|---|
| 567 | INTEGER :: ikt |
|---|
| 568 | INTEGER :: ji, jj ! loop index |
|---|
| 569 | REAL(wp), DIMENSION(:,:), POINTER :: zustar ! U, V at T point and friction velocity |
|---|
| 570 | REAL(wp) :: zdku, zdkv ! U, V shear |
|---|
| 571 | REAL(wp) :: zPr, zSc, zRc ! Prandtl, Scmidth and Richardson number |
|---|
| 572 | REAL(wp) :: zmob, zmols ! Monin Obukov length, coriolis factor at T point |
|---|
| 573 | REAL(wp) :: zbuofdep, zhnu ! Bouyancy length scale, sublayer tickness |
|---|
| 574 | REAL(wp) :: zhmax ! limitation of mol |
|---|
| 575 | REAL(wp) :: zetastar ! stability parameter |
|---|
| 576 | REAL(wp) :: zgmolet, zgmoles, zgturb ! contribution of modelecular sublayer and turbulence |
|---|
| 577 | REAL(wp) :: zcoef ! temporary coef |
|---|
| 578 | REAL(wp) :: zdep |
|---|
| 579 | REAL(wp) :: zeps = 1.0e-20_wp |
|---|
| 580 | REAL(wp), PARAMETER :: zxsiN = 0.052_wp ! dimensionless constant |
|---|
| 581 | REAL(wp), PARAMETER :: znu = 1.95e-6_wp ! kinamatic viscosity of sea water (m2.s-1) |
|---|
| 582 | REAL(wp), DIMENSION(2) :: zts, zab |
|---|
| 583 | !!--------------------------------------------------------------------- |
|---|
| 584 | CALL wrk_alloc( jpi,jpj, zustar ) |
|---|
| 585 | ! |
|---|
| 586 | SELECT CASE ( nn_gammablk ) |
|---|
| 587 | CASE ( 0 ) ! gamma is constant (specified in namelist) |
|---|
| 588 | !! ISOMIP formulation (Hunter et al, 2006) |
|---|
| 589 | pgt(:,:) = rn_gammat0 |
|---|
| 590 | pgs(:,:) = rn_gammas0 |
|---|
| 591 | |
|---|
| 592 | CASE ( 1 ) ! gamma is assume to be proportional to u* |
|---|
| 593 | !! Jenkins et al., 2010, JPO, p2298-2312 |
|---|
| 594 | !! Adopted by Asay-Davis et al. (2015) |
|---|
| 595 | |
|---|
| 596 | !! compute ustar (eq. 24) |
|---|
| 597 | zustar(:,:) = SQRT( rn_tfri2 * (utbl(:,:) * utbl(:,:) + vtbl(:,:) * vtbl(:,:) + rn_tfeb2) ) |
|---|
| 598 | |
|---|
| 599 | !! Compute gammats |
|---|
| 600 | pgt(:,:) = zustar(:,:) * rn_gammat0 |
|---|
| 601 | pgs(:,:) = zustar(:,:) * rn_gammas0 |
|---|
| 602 | |
|---|
| 603 | CASE ( 2 ) ! gamma depends of stability of boundary layer |
|---|
| 604 | !! Holland and Jenkins, 1999, JPO, p1787-1800, eq 14 |
|---|
| 605 | !! as MOL depends of flux and flux depends of MOL, best will be iteration (TO DO) |
|---|
| 606 | !! compute ustar |
|---|
| 607 | zustar(:,:) = SQRT( rn_tfri2 * (utbl(:,:) * utbl(:,:) + vtbl(:,:) * vtbl(:,:) + rn_tfeb2) ) |
|---|
| 608 | |
|---|
| 609 | !! compute Pr and Sc number (can be improved) |
|---|
| 610 | zPr = 13.8_wp |
|---|
| 611 | zSc = 2432.0_wp |
|---|
| 612 | |
|---|
| 613 | !! compute gamma mole |
|---|
| 614 | zgmolet = 12.5_wp * zPr ** (2.0/3.0) - 6.0_wp |
|---|
| 615 | zgmoles = 12.5_wp * zSc ** (2.0/3.0) - 6.0_wp |
|---|
| 616 | |
|---|
| 617 | !! compute gamma |
|---|
| 618 | DO ji=2,jpi |
|---|
| 619 | DO jj=2,jpj |
|---|
| 620 | ikt = mikt(ji,jj) |
|---|
| 621 | |
|---|
| 622 | IF (zustar(ji,jj) == 0._wp) THEN ! only for kt = 1 I think |
|---|
| 623 | pgt = rn_gammat0 |
|---|
| 624 | pgs = rn_gammas0 |
|---|
| 625 | ELSE |
|---|
| 626 | !! compute Rc number (as done in zdfric.F90) |
|---|
| 627 | zcoef = 0.5_wp / fse3w(ji,jj,ikt) |
|---|
| 628 | ! ! shear of horizontal velocity |
|---|
| 629 | zdku = zcoef * ( un(ji-1,jj ,ikt ) + un(ji,jj,ikt ) & |
|---|
| 630 | & -un(ji-1,jj ,ikt+1) - un(ji,jj,ikt+1) ) |
|---|
| 631 | zdkv = zcoef * ( vn(ji ,jj-1,ikt ) + vn(ji,jj,ikt ) & |
|---|
| 632 | & -vn(ji ,jj-1,ikt+1) - vn(ji,jj,ikt+1) ) |
|---|
| 633 | ! ! richardson number (minimum value set to zero) |
|---|
| 634 | zRc = rn2(ji,jj,ikt+1) / MAX( zdku*zdku + zdkv*zdkv, zeps ) |
|---|
| 635 | |
|---|
| 636 | !! compute bouyancy |
|---|
| 637 | zts(jp_tem) = ttbl(ji,jj) |
|---|
| 638 | zts(jp_sal) = stbl(ji,jj) |
|---|
| 639 | zdep = fsdepw(ji,jj,ikt) |
|---|
| 640 | ! |
|---|
| 641 | CALL eos_rab( zts, zdep, zab ) |
|---|
| 642 | ! |
|---|
| 643 | !! compute length scale |
|---|
| 644 | zbuofdep = grav * ( zab(jp_tem) * pqhisf(ji,jj) - zab(jp_sal) * pqwisf(ji,jj) ) !!!!!!!!!!!!!!!!!!!!!!!!!!!! |
|---|
| 645 | |
|---|
| 646 | !! compute Monin Obukov Length |
|---|
| 647 | ! Maximum boundary layer depth |
|---|
| 648 | zhmax = fsdept(ji,jj,mbkt(ji,jj)) - fsdepw(ji,jj,mikt(ji,jj)) - 0.001_wp |
|---|
| 649 | ! Compute Monin obukhov length scale at the surface and Ekman depth: |
|---|
| 650 | zmob = zustar(ji,jj) ** 3 / (vkarmn * (zbuofdep + zeps)) |
|---|
| 651 | zmols = SIGN(1._wp, zmob) * MIN(ABS(zmob), zhmax) * tmask(ji,jj,ikt) |
|---|
| 652 | |
|---|
| 653 | !! compute eta* (stability parameter) |
|---|
| 654 | zetastar = 1._wp / ( SQRT(1._wp + MAX(zxsiN * zustar(ji,jj) / ( ABS(ff(ji,jj)) * zmols * zRc ), 0.0_wp))) |
|---|
| 655 | |
|---|
| 656 | !! compute the sublayer thickness |
|---|
| 657 | zhnu = 5 * znu / zustar(ji,jj) |
|---|
| 658 | |
|---|
| 659 | !! compute gamma turb |
|---|
| 660 | zgturb = 1._wp / vkarmn * LOG(zustar(ji,jj) * zxsiN * zetastar * zetastar / ( ABS(ff(ji,jj)) * zhnu )) & |
|---|
| 661 | & + 1._wp / ( 2 * zxsiN * zetastar ) - 1._wp / vkarmn |
|---|
| 662 | |
|---|
| 663 | !! compute gammats |
|---|
| 664 | pgt(ji,jj) = zustar(ji,jj) / (zgturb + zgmolet) |
|---|
| 665 | pgs(ji,jj) = zustar(ji,jj) / (zgturb + zgmoles) |
|---|
| 666 | END IF |
|---|
| 667 | END DO |
|---|
| 668 | END DO |
|---|
| 669 | CALL lbc_lnk(pgt(:,:),'T',1.) |
|---|
| 670 | CALL lbc_lnk(pgs(:,:),'T',1.) |
|---|
| 671 | END SELECT |
|---|
| 672 | CALL wrk_dealloc( jpi,jpj, zustar ) |
|---|
| 673 | |
|---|
| 674 | END SUBROUTINE sbc_isf_gammats |
|---|
| 675 | |
|---|
| 676 | SUBROUTINE sbc_isf_tbl( pvarin, pvarout, cd_ptin ) |
|---|
| 677 | !!---------------------------------------------------------------------- |
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| 678 | !! *** SUBROUTINE sbc_isf_tbl *** |
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| 679 | !! |
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| 680 | !! ** Purpose : compute mean T/S/U/V in the boundary layer at T- point |
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| 681 | !! |
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| 682 | !!---------------------------------------------------------------------- |
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| 683 | REAL(wp), DIMENSION(:,:,:), INTENT( in ) :: pvarin |
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| 684 | REAL(wp), DIMENSION(:,:) , INTENT( out ) :: pvarout |
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| 685 | CHARACTER(len=1), INTENT( in ) :: cd_ptin ! point of variable in/out |
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| 686 | ! |
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| 687 | REAL(wp) :: ze3, zhk |
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| 688 | REAL(wp), DIMENSION(:,:), POINTER :: zhisf_tbl ! thickness of the tbl |
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| 689 | |
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| 690 | INTEGER :: ji, jj, jk ! loop index |
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| 691 | INTEGER :: ikt, ikb ! top and bottom index of the tbl |
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| 692 | !!---------------------------------------------------------------------- |
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| 693 | ! allocation |
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| 694 | CALL wrk_alloc( jpi,jpj, zhisf_tbl) |
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| 695 | |
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| 696 | ! initialisation |
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| 697 | pvarout(:,:)=0._wp |
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| 698 | |
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| 699 | SELECT CASE ( cd_ptin ) |
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| 700 | CASE ( 'U' ) ! compute U in the top boundary layer at T- point |
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| 701 | DO jj = 1,jpj |
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| 702 | DO ji = 1,jpi |
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| 703 | ikt = miku(ji,jj) ; ikb = miku(ji,jj) |
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| 704 | ! thickness of boundary layer at least the top level thickness |
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| 705 | zhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), fse3u_n(ji,jj,ikt)) |
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| 706 | |
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| 707 | ! determine the deepest level influenced by the boundary layer |
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| 708 | DO jk = ikt+1, mbku(ji,jj) |
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| 709 | IF ( (SUM(fse3u_n(ji,jj,ikt:jk-1)) < zhisf_tbl(ji,jj)) .AND. (umask(ji,jj,jk) == 1) ) ikb = jk |
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| 710 | END DO |
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| 711 | zhisf_tbl(ji,jj) = MIN(zhisf_tbl(ji,jj), SUM(fse3u_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness. |
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| 712 | |
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| 713 | ! level fully include in the ice shelf boundary layer |
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| 714 | DO jk = ikt, ikb - 1 |
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| 715 | ze3 = fse3u_n(ji,jj,jk) |
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| 716 | pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,jk) / zhisf_tbl(ji,jj) * ze3 |
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| 717 | END DO |
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| 718 | |
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| 719 | ! level partially include in ice shelf boundary layer |
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| 720 | zhk = SUM( fse3u_n(ji, jj, ikt:ikb - 1)) / zhisf_tbl(ji,jj) |
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| 721 | pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,ikb) * (1._wp - zhk) |
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| 722 | END DO |
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| 723 | END DO |
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| 724 | DO jj = 2,jpj |
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| 725 | DO ji = 2,jpi |
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| 726 | pvarout(ji,jj) = 0.5_wp * (pvarout(ji,jj) + pvarout(ji-1,jj)) |
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| 727 | END DO |
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| 728 | END DO |
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| 729 | CALL lbc_lnk(pvarout,'T',-1.) |
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| 730 | |
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| 731 | CASE ( 'V' ) ! compute V in the top boundary layer at T- point |
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| 732 | DO jj = 1,jpj |
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| 733 | DO ji = 1,jpi |
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| 734 | ikt = mikv(ji,jj) ; ikb = mikv(ji,jj) |
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| 735 | ! thickness of boundary layer at least the top level thickness |
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| 736 | zhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), fse3v_n(ji,jj,ikt)) |
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| 737 | |
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| 738 | ! determine the deepest level influenced by the boundary layer |
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| 739 | DO jk = ikt+1, mbkv(ji,jj) |
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| 740 | IF ( (SUM(fse3v_n(ji,jj,ikt:jk-1)) < zhisf_tbl(ji,jj)) .AND. (vmask(ji,jj,jk) == 1) ) ikb = jk |
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| 741 | END DO |
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| 742 | zhisf_tbl(ji,jj) = MIN(zhisf_tbl(ji,jj), SUM(fse3v_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness. |
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| 743 | |
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| 744 | ! level fully include in the ice shelf boundary layer |
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| 745 | DO jk = ikt, ikb - 1 |
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| 746 | ze3 = fse3v_n(ji,jj,jk) |
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| 747 | pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,jk) / zhisf_tbl(ji,jj) * ze3 |
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| 748 | END DO |
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| 749 | |
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| 750 | ! level partially include in ice shelf boundary layer |
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| 751 | zhk = SUM( fse3v_n(ji, jj, ikt:ikb - 1)) / zhisf_tbl(ji,jj) |
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| 752 | pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,ikb) * (1._wp - zhk) |
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| 753 | END DO |
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| 754 | END DO |
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| 755 | DO jj = 2,jpj |
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| 756 | DO ji = 2,jpi |
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| 757 | pvarout(ji,jj) = 0.5_wp * (pvarout(ji,jj) + pvarout(ji,jj-1)) |
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| 758 | END DO |
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| 759 | END DO |
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| 760 | CALL lbc_lnk(pvarout,'T',-1.) |
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| 761 | |
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| 762 | CASE ( 'T' ) ! compute T in the top boundary layer at T- point |
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| 763 | DO jj = 1,jpj |
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| 764 | DO ji = 1,jpi |
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| 765 | ikt = misfkt(ji,jj) |
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| 766 | ikb = misfkb(ji,jj) |
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| 767 | |
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| 768 | ! level fully include in the ice shelf boundary layer |
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| 769 | DO jk = ikt, ikb - 1 |
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| 770 | ze3 = fse3t_n(ji,jj,jk) |
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| 771 | pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,jk) * r1_hisf_tbl(ji,jj) * ze3 |
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| 772 | END DO |
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| 773 | |
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| 774 | ! level partially include in ice shelf boundary layer |
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| 775 | zhk = SUM( fse3t_n(ji, jj, ikt:ikb - 1)) * r1_hisf_tbl(ji,jj) |
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| 776 | pvarout(ji,jj) = pvarout(ji,jj) + pvarin(ji,jj,ikb) * (1._wp - zhk) |
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| 777 | END DO |
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| 778 | END DO |
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| 779 | END SELECT |
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| 780 | |
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| 781 | ! mask mean tbl value |
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| 782 | pvarout(:,:) = pvarout(:,:) * ssmask(:,:) |
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| 783 | |
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| 784 | ! deallocation |
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| 785 | CALL wrk_dealloc( jpi,jpj, zhisf_tbl ) |
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| 786 | |
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| 787 | END SUBROUTINE sbc_isf_tbl |
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| 788 | |
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| 789 | |
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| 790 | SUBROUTINE sbc_isf_div( phdivn ) |
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| 791 | !!---------------------------------------------------------------------- |
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| 792 | !! *** SUBROUTINE sbc_isf_div *** |
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| 793 | !! |
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| 794 | !! ** Purpose : update the horizontal divergence with the runoff inflow |
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| 795 | !! |
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| 796 | !! ** Method : |
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| 797 | !! CAUTION : risf_tsc(:,:,jp_sal) is negative (outflow) increase the |
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| 798 | !! divergence and expressed in m/s |
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| 799 | !! |
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| 800 | !! ** Action : phdivn decreased by the runoff inflow |
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| 801 | !!---------------------------------------------------------------------- |
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| 802 | REAL(wp), DIMENSION(:,:,:), INTENT( inout ) :: phdivn ! horizontal divergence |
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| 803 | ! |
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| 804 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 805 | INTEGER :: ikt, ikb |
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| 806 | REAL(wp) :: zhk |
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| 807 | REAL(wp) :: zfact ! local scalar |
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| 808 | !!---------------------------------------------------------------------- |
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| 809 | ! |
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| 810 | zfact = 0.5_wp |
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| 811 | ! |
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| 812 | IF ( lk_vvl ) THEN ! need to re compute level distribution of isf fresh water |
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| 813 | DO jj = 1,jpj |
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| 814 | DO ji = 1,jpi |
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| 815 | ikt = misfkt(ji,jj) |
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| 816 | ikb = misfkt(ji,jj) |
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| 817 | ! thickness of boundary layer at least the top level thickness |
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| 818 | rhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), fse3t(ji,jj,ikt)) |
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| 819 | |
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| 820 | ! determine the deepest level influenced by the boundary layer |
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| 821 | DO jk = ikt+1, mbkt(ji,jj) |
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| 822 | IF ( (SUM(fse3t(ji,jj,ikt:jk-1)) < rhisf_tbl(ji,jj)) .AND. (tmask(ji,jj,jk) == 1) ) ikb = jk |
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| 823 | END DO |
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| 824 | rhisf_tbl(ji,jj) = MIN(rhisf_tbl(ji,jj), SUM(fse3t(ji,jj,ikt:ikb))) ! limit the tbl to water thickness. |
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| 825 | misfkb(ji,jj) = ikb ! last wet level of the tbl |
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| 826 | r1_hisf_tbl(ji,jj) = 1._wp / rhisf_tbl(ji,jj) |
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| 827 | |
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| 828 | zhk = SUM( fse3t(ji, jj, ikt:ikb - 1)) * r1_hisf_tbl(ji,jj) ! proportion of tbl cover by cell from ikt to ikb - 1 |
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| 829 | ralpha(ji,jj) = rhisf_tbl(ji,jj) * (1._wp - zhk ) / fse3t(ji,jj,ikb) ! proportion of bottom cell influenced by boundary layer |
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| 830 | END DO |
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| 831 | END DO |
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| 832 | END IF |
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| 833 | ! |
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| 834 | !== ice shelf melting distributed over several levels ==! |
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| 835 | DO jj = 1,jpj |
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| 836 | DO ji = 1,jpi |
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| 837 | ikt = misfkt(ji,jj) |
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| 838 | ikb = misfkb(ji,jj) |
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| 839 | ! level fully include in the ice shelf boundary layer |
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| 840 | DO jk = ikt, ikb - 1 |
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| 841 | phdivn(ji,jj,jk) = phdivn(ji,jj,jk) + ( fwfisf(ji,jj) + fwfisf_b(ji,jj) ) & |
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| 842 | & * r1_hisf_tbl(ji,jj) * r1_rau0 * zfact |
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| 843 | END DO |
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| 844 | ! level partially include in ice shelf boundary layer |
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| 845 | phdivn(ji,jj,ikb) = phdivn(ji,jj,ikb) + ( fwfisf(ji,jj) & |
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| 846 | & + fwfisf_b(ji,jj) ) * r1_hisf_tbl(ji,jj) * r1_rau0 * zfact * ralpha(ji,jj) |
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| 847 | END DO |
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| 848 | END DO |
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| 849 | ! |
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| 850 | END SUBROUTINE sbc_isf_div |
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| 851 | !!====================================================================== |
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| 852 | END MODULE sbcisf |
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