| 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 | LOGICAL , PUBLIC :: ln_divisf !: flag to correct divergence |
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| 42 | INTEGER , PUBLIC :: nn_isfblk !: |
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| 43 | INTEGER , PUBLIC :: nn_gammablk !: |
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| 44 | LOGICAL , PUBLIC :: ln_conserve !: |
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| 45 | REAL(wp), PUBLIC :: rn_gammat0 !: temperature exchange coeficient |
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| 46 | REAL(wp), PUBLIC :: rn_gammas0 !: salinity exchange coeficient |
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| 47 | REAL(wp), PUBLIC :: rdivisf !: flag to test if fwf apply on divergence |
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| 48 | |
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| 49 | REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: rzisf_tbl !:depth of calving front (shallowest point) nn_isf ==2/3 |
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| 50 | REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: rhisf_tbl, rhisf_tbl_0 !:thickness of tbl |
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| 51 | REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: r1_hisf_tbl !:1/thickness of tbl |
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| 52 | REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: ralpha !:proportion of bottom cell influenced by tbl |
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| 53 | REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: risfLeff !:effective length (Leff) BG03 nn_isf==2 |
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| 54 | REAL(wp) , PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: ttbl, stbl, utbl, vtbl !:top boundary layer variable at T point |
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| 55 | #if defined key_agrif |
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| 56 | ! 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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| 57 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: misfkt, misfkb !:Level of ice shelf base |
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| 58 | !: (first wet level and last level include in the tbl) |
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| 59 | #else |
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| 60 | INTEGER, PUBLIC, ALLOCATABLE, SAVE, DIMENSION (:,:) :: misfkt, misfkb !:Level of ice shelf base |
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| 61 | #endif |
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| 62 | |
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| 63 | |
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| 64 | REAL(wp), PUBLIC, SAVE :: rcpi = 2000.0_wp ! phycst ? |
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| 65 | REAL(wp), PUBLIC, SAVE :: kappa = 1.54e-6_wp ! phycst ? |
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| 66 | REAL(wp), PUBLIC, SAVE :: rhoisf = 920.0_wp ! phycst ? |
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| 67 | REAL(wp), PUBLIC, SAVE :: tsurf = -20.0_wp ! phycst ? |
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| 68 | REAL(wp), PUBLIC, SAVE :: lfusisf= 0.334e6_wp ! phycst ? |
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| 69 | |
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| 70 | !: Variable used in fldread to read the forcing file (nn_isf == 4 .OR. nn_isf == 3) |
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| 71 | CHARACTER(len=100), PUBLIC :: cn_dirisf = './' !: Root directory for location of ssr files |
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| 72 | TYPE(FLD_N) , PUBLIC :: sn_qisf, sn_fwfisf !: information about the runoff file to be read |
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| 73 | TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf_qisf, sf_fwfisf |
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| 74 | TYPE(FLD_N) , PUBLIC :: sn_rnfisf !: information about the runoff file to be read |
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| 75 | TYPE(FLD), ALLOCATABLE, DIMENSION(:) :: sf_rnfisf |
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| 76 | TYPE(FLD_N) , PUBLIC :: sn_depmax_isf, sn_depmin_isf, 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 | INTEGER, INTENT(in) :: kt ! ocean time step |
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| 90 | INTEGER :: ji, jj, jk, ijkmin, inum, ierror |
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| 91 | INTEGER :: ikt, ikb ! top and bottom level of the isf boundary layer |
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| 92 | REAL(wp) :: rmin |
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| 93 | REAL(wp) :: zhk |
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| 94 | REAL(wp) :: zt_frz, zpress |
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| 95 | CHARACTER(len=256) :: cfisf , cvarzisf, cvarhisf ! name for isf file |
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| 96 | CHARACTER(LEN=256) :: cnameis ! name of iceshelf file |
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| 97 | CHARACTER (LEN=32) :: cvarLeff ! variable name for efficient Length scale |
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| 98 | INTEGER :: ios ! Local integer output status for namelist read |
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| 99 | ! |
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| 100 | !!--------------------------------------------------------------------- |
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| 101 | NAMELIST/namsbc_isf/ nn_isfblk, rn_hisf_tbl, ln_divisf, ln_conserve, rn_gammat0, rn_gammas0, nn_gammablk, & |
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| 102 | & sn_fwfisf, sn_qisf, sn_rnfisf, sn_depmax_isf, sn_depmin_isf, sn_Leff_isf |
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| 103 | ! |
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| 104 | ! |
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| 105 | ! ! ====================== ! |
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| 106 | IF( kt == nit000 ) THEN ! First call kt=nit000 ! |
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| 107 | ! ! ====================== ! |
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| 108 | REWIND( numnam_ref ) ! Namelist namsbc_rnf in reference namelist : Runoffs |
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| 109 | READ ( numnam_ref, namsbc_isf, IOSTAT = ios, ERR = 901) |
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| 110 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_isf in reference namelist', lwp ) |
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| 111 | |
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| 112 | REWIND( numnam_cfg ) ! Namelist namsbc_rnf in configuration namelist : Runoffs |
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| 113 | READ ( numnam_cfg, namsbc_isf, IOSTAT = ios, ERR = 902 ) |
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| 114 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namsbc_isf in configuration namelist', lwp ) |
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| 115 | IF(lwm) WRITE ( numond, namsbc_isf ) |
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| 116 | |
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| 117 | |
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| 118 | IF ( lwp ) WRITE(numout,*) |
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| 119 | IF ( lwp ) WRITE(numout,*) 'sbc_isf: heat flux of the ice shelf' |
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| 120 | IF ( lwp ) WRITE(numout,*) '~~~~~~~~~' |
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| 121 | IF ( lwp ) WRITE(numout,*) 'sbcisf :' |
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| 122 | IF ( lwp ) WRITE(numout,*) '~~~~~~~~' |
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| 123 | IF ( lwp ) WRITE(numout,*) ' nn_isf = ', nn_isf |
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| 124 | IF ( lwp ) WRITE(numout,*) ' nn_isfblk = ', nn_isfblk |
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| 125 | IF ( lwp ) WRITE(numout,*) ' rn_hisf_tbl = ', rn_hisf_tbl |
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| 126 | IF ( lwp ) WRITE(numout,*) ' ln_divisf = ', ln_divisf |
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| 127 | IF ( lwp ) WRITE(numout,*) ' nn_gammablk = ', nn_gammablk |
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| 128 | IF ( lwp ) WRITE(numout,*) ' rn_tfri2 = ', rn_tfri2 |
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| 129 | IF (ln_divisf) THEN ! keep it in the namelist ??? used true anyway as for runoff ? (PM) |
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| 130 | rdivisf = 1._wp |
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| 131 | ELSE |
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| 132 | rdivisf = 0._wp |
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| 133 | END IF |
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| 134 | ! |
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| 135 | ! Allocate public variable |
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| 136 | IF ( sbc_isf_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'sbc_isf : unable to allocate arrays' ) |
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| 137 | ! |
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| 138 | ! initialisation |
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| 139 | qisf(:,:) = 0._wp ; fwfisf(:,:) = 0._wp |
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| 140 | risf_tsc(:,:,:) = 0._wp |
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| 141 | ! |
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| 142 | ! define isf tbl tickness, top and bottom indice |
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| 143 | IF (nn_isf == 1) THEN |
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| 144 | rhisf_tbl(:,:) = rn_hisf_tbl |
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| 145 | misfkt(:,:) = mikt(:,:) ! same indice for bg03 et cav => used in isfdiv |
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| 146 | ELSE IF ((nn_isf == 3) .OR. (nn_isf == 2)) THEN |
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| 147 | ALLOCATE( sf_rnfisf(1), STAT=ierror ) |
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| 148 | ALLOCATE( sf_rnfisf(1)%fnow(jpi,jpj,1), sf_rnfisf(1)%fdta(jpi,jpj,1,2) ) |
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| 149 | CALL fld_fill( sf_rnfisf, (/ sn_rnfisf /), cn_dirisf, 'sbc_isf_init', 'read fresh water flux isf data', 'namsbc_isf' ) |
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| 150 | |
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| 151 | !: read effective lenght (BG03) |
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| 152 | IF (nn_isf == 2) THEN |
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| 153 | ! Read Data and save some integral values |
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| 154 | CALL iom_open( sn_Leff_isf%clname, inum ) |
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| 155 | cvarLeff = 'soLeff' !: variable name for Efficient Length scale |
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| 156 | CALL iom_get( inum, jpdom_data, cvarLeff, risfLeff , 1) |
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| 157 | CALL iom_close(inum) |
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| 158 | ! |
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| 159 | risfLeff = risfLeff*1000 !: convertion in m |
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| 160 | END IF |
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| 161 | |
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| 162 | ! 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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| 163 | CALL iom_open( sn_depmax_isf%clname, inum ) |
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| 164 | cvarhisf = TRIM(sn_depmax_isf%clvar) |
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| 165 | CALL iom_get( inum, jpdom_data, cvarhisf, rhisf_tbl, 1) !: depth of deepest point of the ice shelf base |
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| 166 | CALL iom_close(inum) |
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| 167 | ! |
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| 168 | CALL iom_open( sn_depmin_isf%clname, inum ) |
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| 169 | cvarzisf = TRIM(sn_depmin_isf%clvar) |
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| 170 | CALL iom_get( inum, jpdom_data, cvarzisf, rzisf_tbl, 1) !: depth of shallowest point of the ice shelves base |
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| 171 | CALL iom_close(inum) |
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| 172 | ! |
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| 173 | rhisf_tbl(:,:) = rhisf_tbl(:,:) - rzisf_tbl(:,:) !: tickness isf boundary layer |
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| 174 | |
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| 175 | !! compute first level of the top boundary layer |
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| 176 | DO ji = 1, jpi |
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| 177 | DO jj = 1, jpj |
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| 178 | jk = 2 |
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| 179 | DO WHILE ( jk .LE. mbkt(ji,jj) .AND. fsdepw(ji,jj,jk) < rzisf_tbl(ji,jj) ) ; jk = jk + 1 ; END DO |
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| 180 | misfkt(ji,jj) = jk-1 |
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| 181 | END DO |
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| 182 | END DO |
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| 183 | |
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| 184 | ELSE IF ( nn_isf == 4 ) THEN |
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| 185 | ! as in nn_isf == 1 |
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| 186 | rhisf_tbl(:,:) = rn_hisf_tbl |
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| 187 | misfkt(:,:) = mikt(:,:) ! same indice for bg03 et cav => used in isfdiv |
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| 188 | |
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| 189 | ! load variable used in fldread (use for temporal interpolation of isf fwf forcing) |
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| 190 | ALLOCATE( sf_fwfisf(1), sf_qisf(1), STAT=ierror ) |
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| 191 | ALLOCATE( sf_fwfisf(1)%fnow(jpi,jpj,1), sf_fwfisf(1)%fdta(jpi,jpj,1,2) ) |
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| 192 | ALLOCATE( sf_qisf(1)%fnow(jpi,jpj,1), sf_qisf(1)%fdta(jpi,jpj,1,2) ) |
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| 193 | CALL fld_fill( sf_fwfisf, (/ sn_fwfisf /), cn_dirisf, 'sbc_isf_init', 'read fresh water flux isf data', 'namsbc_isf' ) |
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| 194 | !CALL fld_fill( sf_qisf , (/ sn_qisf /), cn_dirisf, 'sbc_isf_init', 'read heat flux isf data' , 'namsbc_isf' ) |
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| 195 | END IF |
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| 196 | |
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| 197 | ! compute bottom level of isf tbl and thickness of tbl below the ice shelf |
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| 198 | rhisf_tbl_0(:,:) = rhisf_tbl(:,:) |
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| 199 | DO jj = 1,jpj |
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| 200 | DO ji = 1,jpi |
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| 201 | ikt = misfkt(ji,jj) |
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| 202 | ikb = misfkt(ji,jj) |
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| 203 | ! thickness of boundary layer at least the top level thickness |
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| 204 | rhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), fse3t_n(ji,jj,ikt)) |
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| 205 | |
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| 206 | ! determine the deepest level influenced by the boundary layer |
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| 207 | ! test on tmask useless ????? |
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| 208 | DO jk = ikt, mbkt(ji,jj) |
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| 209 | IF ( (SUM(fse3t_n(ji,jj,ikt:jk-1)) .LT. rhisf_tbl(ji,jj)) .AND. (tmask(ji,jj,jk) == 1) ) ikb = jk |
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| 210 | END DO |
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| 211 | rhisf_tbl(ji,jj) = MIN(rhisf_tbl(ji,jj), SUM(fse3t_n(ji,jj,ikt:ikb))) ! limit the tbl to water thickness. |
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| 212 | misfkb(ji,jj) = ikb ! last wet level of the tbl |
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| 213 | r1_hisf_tbl(ji,jj) = 1._wp / rhisf_tbl(ji,jj) |
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| 214 | |
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| 215 | 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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| 216 | 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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| 217 | END DO |
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| 218 | END DO |
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| 219 | |
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| 220 | END IF |
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| 221 | |
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| 222 | ! ! ---------------------------------------- ! |
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| 223 | IF( kt /= nit000 ) THEN ! Swap of forcing fields ! |
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| 224 | ! ! ---------------------------------------- ! |
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| 225 | fwfisf_b (:,: ) = fwfisf (:,: ) ! Swap the ocean forcing fields except at nit000 |
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| 226 | risf_tsc_b(:,:,:) = risf_tsc(:,:,:) ! where before fields are set at the end of the routine |
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| 227 | ! |
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| 228 | ENDIF |
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| 229 | |
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| 230 | IF( MOD( kt-1, nn_fsbc) == 0 ) THEN |
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| 231 | |
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| 232 | |
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| 233 | ! compute salf and heat flux |
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| 234 | IF (nn_isf == 1) THEN |
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| 235 | ! realistic ice shelf formulation |
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| 236 | ! compute T/S/U/V for the top boundary layer |
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| 237 | CALL sbc_isf_tbl(tsn(:,:,:,jp_tem),ttbl(:,:),'T') |
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| 238 | CALL sbc_isf_tbl(tsn(:,:,:,jp_sal),stbl(:,:),'T') |
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| 239 | CALL sbc_isf_tbl(un(:,:,:),utbl(:,:),'U') |
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| 240 | CALL sbc_isf_tbl(vn(:,:,:),vtbl(:,:),'V') |
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| 241 | ! iom print |
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| 242 | CALL iom_put('ttbl',ttbl(:,:)) |
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| 243 | CALL iom_put('stbl',stbl(:,:)) |
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| 244 | CALL iom_put('utbl',utbl(:,:)) |
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| 245 | CALL iom_put('vtbl',vtbl(:,:)) |
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| 246 | ! compute fwf and heat flux |
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| 247 | CALL sbc_isf_cav (kt) |
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| 248 | |
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| 249 | ELSE IF (nn_isf == 2) THEN |
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| 250 | ! Beckmann and Goosse parametrisation |
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| 251 | stbl(:,:) = soce |
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| 252 | CALL sbc_isf_bg03(kt) |
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| 253 | |
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| 254 | ELSE IF (nn_isf == 3) THEN |
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| 255 | ! specified runoff in depth (Mathiot et al., XXXX in preparation) |
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| 256 | CALL fld_read ( kt, nn_fsbc, sf_rnfisf ) |
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| 257 | fwfisf(:,:) = - sf_rnfisf(1)%fnow(:,:,1) ! fresh water flux from the isf (fwfisf <0 mean melting) |
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| 258 | qisf(:,:) = fwfisf(:,:) * lfusisf ! heat flux |
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| 259 | stbl(:,:) = soce |
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| 260 | |
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| 261 | ELSE IF (nn_isf == 4) THEN |
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| 262 | ! specified fwf and heat flux forcing beneath the ice shelf |
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| 263 | CALL fld_read ( kt, nn_fsbc, sf_fwfisf ) |
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| 264 | !CALL fld_read ( kt, nn_fsbc, sf_qisf ) |
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| 265 | fwfisf(:,:) = sf_fwfisf(1)%fnow(:,:,1) ! fwf |
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| 266 | qisf(:,:) = fwfisf(:,:) * lfusisf ! heat flux |
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| 267 | !qisf(:,:) = sf_qisf(1)%fnow(:,:,1) ! heat flux |
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| 268 | stbl(:,:) = soce |
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| 269 | |
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| 270 | END IF |
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| 271 | ! compute tsc due to isf |
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| 272 | ! WARNING water add at temp = 0C, correction term is added, maybe better here but need a 3D variable). |
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| 273 | ! zpress = grav*rau0*fsdept(ji,jj,jk)*1.e-04 |
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| 274 | zt_frz = -1.9 !eos_fzp( tsn(ji,jj,jk,jp_sal), zpress ) |
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| 275 | risf_tsc(:,:,jp_tem) = qisf(:,:) * r1_rau0_rcp - rdivisf * fwfisf(:,:) * zt_frz * r1_rau0 ! |
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| 276 | |
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| 277 | ! salt effect already take into account in vertical advection |
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| 278 | risf_tsc(:,:,jp_sal) = (1.0_wp-rdivisf) * fwfisf(:,:) * stbl(:,:) * r1_rau0 |
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| 279 | |
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| 280 | ! output |
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| 281 | IF( iom_use('qisf' ) ) CALL iom_put('qisf' , qisf) |
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| 282 | IF( iom_use('fwfisf') ) CALL iom_put('fwfisf', fwfisf * stbl(:,:) / soce ) |
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| 283 | |
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| 284 | ! 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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| 285 | fwfisf(:,:) = rdivisf * fwfisf(:,:) |
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| 286 | |
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| 287 | ! lbclnk |
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| 288 | CALL lbc_lnk(risf_tsc(:,:,jp_tem),'T',1.) |
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| 289 | CALL lbc_lnk(risf_tsc(:,:,jp_sal),'T',1.) |
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| 290 | CALL lbc_lnk(fwfisf(:,:) ,'T',1.) |
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| 291 | CALL lbc_lnk(qisf(:,:) ,'T',1.) |
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| 292 | |
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| 293 | IF( kt == nit000 ) THEN ! set the forcing field at nit000 - 1 ! |
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| 294 | IF( ln_rstart .AND. & ! Restart: read in restart file |
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| 295 | & iom_varid( numror, 'fwf_isf_b', ldstop = .FALSE. ) > 0 ) THEN |
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| 296 | IF(lwp) WRITE(numout,*) ' nit000-1 isf tracer content forcing fields read in the restart file' |
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| 297 | CALL iom_get( numror, jpdom_autoglo, 'fwf_isf_b', fwfisf_b(:,:) ) ! before salt content isf_tsc trend |
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| 298 | CALL iom_get( numror, jpdom_autoglo, 'isf_sc_b', risf_tsc_b(:,:,jp_sal) ) ! before salt content isf_tsc trend |
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| 299 | CALL iom_get( numror, jpdom_autoglo, 'isf_hc_b', risf_tsc_b(:,:,jp_tem) ) ! before salt content isf_tsc trend |
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| 300 | ELSE |
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| 301 | fwfisf_b(:,:) = fwfisf(:,:) |
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| 302 | risf_tsc_b(:,:,:)= risf_tsc(:,:,:) |
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| 303 | END IF |
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| 304 | ENDIF |
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| 305 | ! |
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| 306 | END IF |
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| 307 | |
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| 308 | END SUBROUTINE sbc_isf |
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| 309 | |
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| 310 | INTEGER FUNCTION sbc_isf_alloc() |
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| 311 | !!---------------------------------------------------------------------- |
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| 312 | !! *** FUNCTION sbc_isf_rnf_alloc *** |
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| 313 | !!---------------------------------------------------------------------- |
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| 314 | sbc_isf_alloc = 0 ! set to zero if no array to be allocated |
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| 315 | IF( .NOT. ALLOCATED( qisf ) ) THEN |
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| 316 | ALLOCATE( risf_tsc(jpi,jpj,jpts), risf_tsc_b(jpi,jpj,jpts), qisf(jpi,jpj) , & |
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| 317 | & rhisf_tbl(jpi,jpj) , r1_hisf_tbl(jpi,jpj), rzisf_tbl(jpi,jpj) , & |
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| 318 | & ttbl(jpi,jpj) , stbl(jpi,jpj) , utbl(jpi,jpj) , & |
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| 319 | & vtbl(jpi, jpj) , risfLeff(jpi,jpj) , rhisf_tbl_0(jpi,jpj), & |
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| 320 | & ralpha(jpi,jpj) , misfkt(jpi,jpj) , misfkb(jpi,jpj) , & |
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| 321 | & STAT= sbc_isf_alloc ) |
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| 322 | ! |
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| 323 | IF( lk_mpp ) CALL mpp_sum ( sbc_isf_alloc ) |
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| 324 | IF( sbc_isf_alloc /= 0 ) CALL ctl_warn('sbc_isf_alloc: failed to allocate arrays.') |
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| 325 | ! |
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| 326 | ENDIF |
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| 327 | END FUNCTION |
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| 328 | |
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| 329 | SUBROUTINE sbc_isf_bg03(kt) |
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| 330 | !!========================================================================== |
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| 331 | !! *** SUBROUTINE sbcisf_bg03 *** |
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| 332 | !! add net heat and fresh water flux from ice shelf melting |
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| 333 | !! into the adjacent ocean using the parameterisation by |
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| 334 | !! Beckmann and Goosse (2003), "A parameterization of ice shelf-ocean |
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| 335 | !! interaction for climate models", Ocean Modelling 5(2003) 157-170. |
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| 336 | !! (hereafter BG) |
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| 337 | !!========================================================================== |
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| 338 | !!---------------------------------------------------------------------- |
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| 339 | !! sbc_isf_bg03 : routine called from sbcmod |
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| 340 | !!---------------------------------------------------------------------- |
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| 341 | !! |
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| 342 | !! ** Purpose : Add heat and fresh water fluxes due to ice shelf melting |
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| 343 | !! ** Reference : Beckmann et Goosse, 2003, Ocean Modelling |
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| 344 | !! |
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| 345 | !! History : |
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| 346 | !! ! 06-02 (C. Wang) Original code |
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| 347 | !!---------------------------------------------------------------------- |
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| 348 | |
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| 349 | INTEGER, INTENT ( in ) :: kt |
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| 350 | |
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| 351 | INTEGER :: ji, jj, jk, jish !temporary integer |
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| 352 | INTEGER :: ijkmin |
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| 353 | INTEGER :: ii, ij, ik |
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| 354 | INTEGER :: inum |
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| 355 | |
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| 356 | REAL(wp) :: zt_sum ! sum of the temperature between 200m and 600m |
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| 357 | REAL(wp) :: zt_ave ! averaged temperature between 200m and 600m |
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| 358 | REAL(wp) :: zt_frz ! freezing point temperature at depth z |
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| 359 | REAL(wp) :: zpress ! pressure to compute the freezing point in depth |
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| 360 | |
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| 361 | !!---------------------------------------------------------------------- |
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| 362 | IF ( nn_timing == 1 ) CALL timing_start('sbc_isf_bg03') |
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| 363 | ! |
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| 364 | |
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| 365 | ! This test is false only in the very first time step of a run (JMM ???- Initialy build to skip 1rst year of run ) |
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| 366 | DO ji = 1, jpi |
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| 367 | DO jj = 1, jpj |
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| 368 | ik = misfkt(ji,jj) |
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| 369 | !! Initialize arrays to 0 (each step) |
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| 370 | zt_sum = 0.e0_wp |
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| 371 | IF ( ik .GT. 1 ) THEN |
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| 372 | ! 3. -----------the average temperature between 200m and 600m --------------------- |
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| 373 | DO jk = misfkt(ji,jj),misfkb(ji,jj) |
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| 374 | ! freezing point temperature at ice shelf base BG eq. 2 (JMM sign pb ??? +7.64e-4 !!!) |
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| 375 | ! after verif with UNESCO, wrong sign in BG eq. 2 |
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| 376 | ! Calculate freezing temperature |
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| 377 | zpress = grav*rau0*fsdept(ji,jj,ik)*1.e-04 |
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| 378 | CALL eos_fzp(tsb(ji,jj,ik,jp_sal), zt_frz, zpress) |
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| 379 | zt_sum = zt_sum + (tsn(ji,jj,ik,jp_tem)-zt_frz) * fse3t(ji,jj,ik) * tmask(ji,jj,ik) ! sum temp |
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| 380 | ENDDO |
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| 381 | zt_ave = zt_sum/rhisf_tbl(ji,jj) ! calcul mean value |
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| 382 | |
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| 383 | ! 4. ------------Net heat flux and fresh water flux due to the ice shelf |
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| 384 | ! For those corresponding to zonal boundary |
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| 385 | qisf(ji,jj) = - rau0 * rcp * rn_gammat0 * risfLeff(ji,jj) * e1t(ji,jj) * zt_ave & |
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| 386 | & / (e1t(ji,jj) * e2t(ji,jj)) * tmask(ji,jj,ik) |
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| 387 | |
|---|
| 388 | fwfisf(ji,jj) = qisf(ji,jj) / lfusisf !fresh water flux kg/(m2s) |
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| 389 | fwfisf(ji,jj) = fwfisf(ji,jj) * ( soce / stbl(ji,jj) ) |
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| 390 | !add to salinity trend |
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| 391 | ELSE |
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| 392 | qisf(ji,jj) = 0._wp ; fwfisf(ji,jj) = 0._wp |
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| 393 | END IF |
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| 394 | ENDDO |
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| 395 | ENDDO |
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| 396 | ! |
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| 397 | IF( nn_timing == 1 ) CALL timing_stop('sbc_isf_bg03') |
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| 398 | END SUBROUTINE sbc_isf_bg03 |
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| 399 | |
|---|
| 400 | SUBROUTINE sbc_isf_cav( kt ) |
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| 401 | !!--------------------------------------------------------------------- |
|---|
| 402 | !! *** ROUTINE sbc_isf_cav *** |
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| 403 | !! |
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| 404 | !! ** Purpose : handle surface boundary condition under ice shelf |
|---|
| 405 | !! |
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| 406 | !! ** Method : - |
|---|
| 407 | !! |
|---|
| 408 | !! ** Action : utau, vtau : remain unchanged |
|---|
| 409 | !! taum, wndm : remain unchanged |
|---|
| 410 | !! qns : update heat flux below ice shelf |
|---|
| 411 | !! emp, emps : update freshwater flux below ice shelf |
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| 412 | !!--------------------------------------------------------------------- |
|---|
| 413 | INTEGER, INTENT(in) :: kt ! ocean time step |
|---|
| 414 | ! |
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| 415 | LOGICAL :: ln_isomip = .true. |
|---|
| 416 | REAL(wp), DIMENSION(:,:), POINTER :: zfrz,zpress,zti |
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| 417 | REAL(wp), DIMENSION(:,:), POINTER :: zgammat2d, zgammas2d |
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| 418 | !REAL(wp), DIMENSION(:,:), POINTER :: zqisf, zfwfisf |
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| 419 | REAL(wp) :: zlamb1, zlamb2, zlamb3 |
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| 420 | REAL(wp) :: zeps1,zeps2,zeps3,zeps4,zeps6,zeps7 |
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| 421 | REAL(wp) :: zaqe,zbqe,zcqe,zaqer,zdis,zsfrz,zcfac |
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| 422 | REAL(wp) :: zfwflx, zhtflx, zhtflx_b |
|---|
| 423 | REAL(wp) :: zgammat, zgammas |
|---|
| 424 | REAL(wp) :: zeps = -1.e-20_wp !== Local constant initialization ==! |
|---|
| 425 | INTEGER :: ji, jj ! dummy loop indices |
|---|
| 426 | INTEGER :: ii0, ii1, ij0, ij1 ! temporary integers |
|---|
| 427 | INTEGER :: ierror ! return error code |
|---|
| 428 | LOGICAL :: lit=.TRUE. |
|---|
| 429 | INTEGER :: nit |
|---|
| 430 | !!--------------------------------------------------------------------- |
|---|
| 431 | ! |
|---|
| 432 | ! coeficient for linearisation of tfreez |
|---|
| 433 | zlamb1=-0.0575 |
|---|
| 434 | zlamb2=0.0901 |
|---|
| 435 | zlamb3=-7.61e-04 |
|---|
| 436 | IF( nn_timing == 1 ) CALL timing_start('sbc_isf_cav') |
|---|
| 437 | ! |
|---|
| 438 | CALL wrk_alloc( jpi,jpj, zfrz,zpress,zti, zgammat2d, zgammas2d ) |
|---|
| 439 | |
|---|
| 440 | zcfac=0.0_wp |
|---|
| 441 | IF (ln_conserve) zcfac=1.0_wp |
|---|
| 442 | zpress(:,:)=0.0_wp |
|---|
| 443 | zgammat2d(:,:)=0.0_wp |
|---|
| 444 | zgammas2d(:,:)=0.0_wp |
|---|
| 445 | ! |
|---|
| 446 | ! |
|---|
| 447 | !CDIR COLLAPSE |
|---|
| 448 | DO jj = 1, jpj |
|---|
| 449 | DO ji = 1, jpi |
|---|
| 450 | ! Crude approximation for pressure (but commonly used) |
|---|
| 451 | ! 1e-04 to convert from Pa to dBar |
|---|
| 452 | zpress(ji,jj)=grav*rau0*fsdepw(ji,jj,mikt(ji,jj))*1.e-04 |
|---|
| 453 | ! |
|---|
| 454 | END DO |
|---|
| 455 | END DO |
|---|
| 456 | |
|---|
| 457 | ! Calculate in-situ temperature (ref to surface) |
|---|
| 458 | zti(:,:)=tinsitu( ttbl, stbl, zpress ) |
|---|
| 459 | ! Calculate freezing temperature |
|---|
| 460 | CALL eos_fzp( sss_m(:,:), zfrz(:,:), zpress ) |
|---|
| 461 | |
|---|
| 462 | |
|---|
| 463 | zhtflx=0._wp ; zfwflx=0._wp |
|---|
| 464 | IF (nn_isfblk == 1) THEN |
|---|
| 465 | DO jj = 1, jpj |
|---|
| 466 | DO ji = 1, jpi |
|---|
| 467 | IF (mikt(ji,jj) > 1 ) THEN |
|---|
| 468 | nit = 1; lit = .TRUE.; zgammat=rn_gammat0; zgammas=rn_gammas0; zhtflx_b=0._wp |
|---|
| 469 | DO WHILE ( lit ) |
|---|
| 470 | ! compute gamma |
|---|
| 471 | CALL sbc_isf_gammats(zgammat, zgammas, zhtflx, zfwflx, ji, jj, lit) |
|---|
| 472 | ! zhtflx is upward heat flux (out of ocean) |
|---|
| 473 | zhtflx = zgammat*rcp*rau0*(zti(ji,jj)-zfrz(ji,jj)) |
|---|
| 474 | ! zwflx is upward water flux |
|---|
| 475 | zfwflx = - zhtflx/lfusisf |
|---|
| 476 | ! test convergence and compute gammat |
|---|
| 477 | IF ( (zhtflx - zhtflx_b) .LE. 0.01 ) lit = .FALSE. |
|---|
| 478 | |
|---|
| 479 | nit = nit + 1 |
|---|
| 480 | IF (nit .GE. 100) CALL ctl_stop( 'STOP', 'sbc_isf_hol99 : too many iteration ...' ) |
|---|
| 481 | |
|---|
| 482 | ! save gammat and compute zhtflx_b |
|---|
| 483 | zgammat2d(ji,jj)=zgammat |
|---|
| 484 | zhtflx_b = zhtflx |
|---|
| 485 | END DO |
|---|
| 486 | |
|---|
| 487 | qisf(ji,jj) = - zhtflx |
|---|
| 488 | ! For genuine ISOMIP protocol this should probably be something like |
|---|
| 489 | fwfisf(ji,jj) = zfwflx * ( soce / MAX(stbl(ji,jj),zeps)) |
|---|
| 490 | ELSE |
|---|
| 491 | fwfisf(ji,jj) = 0._wp |
|---|
| 492 | qisf(ji,jj) = 0._wp |
|---|
| 493 | END IF |
|---|
| 494 | ! |
|---|
| 495 | END DO |
|---|
| 496 | END DO |
|---|
| 497 | |
|---|
| 498 | ELSE IF (nn_isfblk == 2 ) THEN |
|---|
| 499 | |
|---|
| 500 | ! More complicated 3 equation thermodynamics as in MITgcm |
|---|
| 501 | !CDIR COLLAPSE |
|---|
| 502 | DO jj = 2, jpj |
|---|
| 503 | DO ji = 2, jpi |
|---|
| 504 | IF (mikt(ji,jj) > 1 ) THEN |
|---|
| 505 | nit=1; lit=.TRUE.; zgammat=rn_gammat0; zgammas=rn_gammas0; zhtflx_b=0._wp; zhtflx=0._wp |
|---|
| 506 | DO WHILE ( lit ) |
|---|
| 507 | CALL sbc_isf_gammats(zgammat, zgammas, zhtflx, zfwflx, ji, jj, lit) |
|---|
| 508 | |
|---|
| 509 | zeps1=rcp*rau0*zgammat |
|---|
| 510 | zeps2=lfusisf*rau0*zgammas |
|---|
| 511 | zeps3=rhoisf*rcpi*kappa/risfdep(ji,jj) |
|---|
| 512 | zeps4=zlamb2+zlamb3*risfdep(ji,jj) |
|---|
| 513 | zeps6=zeps4-zti(ji,jj) |
|---|
| 514 | zeps7=zeps4-tsurf |
|---|
| 515 | zaqe=zlamb1 * (zeps1 + zeps3) |
|---|
| 516 | zaqer=0.5/zaqe |
|---|
| 517 | zbqe=zeps1*zeps6+zeps3*zeps7-zeps2 |
|---|
| 518 | zcqe=zeps2*stbl(ji,jj) |
|---|
| 519 | zdis=zbqe*zbqe-4.0*zaqe*zcqe |
|---|
| 520 | ! Presumably zdis can never be negative because gammas is very small compared to gammat |
|---|
| 521 | zsfrz=(-zbqe-SQRT(zdis))*zaqer |
|---|
| 522 | IF (zsfrz .lt. 0.0) zsfrz=(-zbqe+SQRT(zdis))*zaqer |
|---|
| 523 | zfrz(ji,jj)=zeps4+zlamb1*zsfrz |
|---|
| 524 | |
|---|
| 525 | ! zfwflx is upward water flux |
|---|
| 526 | zfwflx= rau0 * zgammas * ( (zsfrz-stbl(ji,jj)) / zsfrz ) |
|---|
| 527 | ! zhtflx is upward heat flux (out of ocean) |
|---|
| 528 | ! If non conservative we have zcfac=0.0 so zhtflx is as ISOMIP but with different zfrz value |
|---|
| 529 | zhtflx = ( zgammat*rau0 - zcfac*zfwflx ) * rcp * (zti(ji,jj) - zfrz(ji,jj) ) |
|---|
| 530 | ! zwflx is upward water flux |
|---|
| 531 | ! If non conservative we have zcfac=0.0 so what follows is then zfwflx*sss_m/zsfrz |
|---|
| 532 | zfwflx = ( zgammas*rau0 - zcfac*zfwflx ) * (zsfrz - stbl(ji,jj)) / stbl(ji,jj) |
|---|
| 533 | ! test convergence and compute gammat |
|---|
| 534 | IF (( zhtflx - zhtflx_b) .LE. 0.01 ) lit = .FALSE. |
|---|
| 535 | |
|---|
| 536 | nit = nit + 1 |
|---|
| 537 | IF (nit .GE. 51) THEN |
|---|
| 538 | WRITE(numout,*) "sbcisf : too many iteration ... ", & |
|---|
| 539 | & zhtflx, zhtflx_b, zgammat, zgammas, nn_gammablk, ji, jj, mikt(ji,jj), narea |
|---|
| 540 | CALL ctl_stop( 'STOP', 'sbc_isf_hol99 : too many iteration ...' ) |
|---|
| 541 | END IF |
|---|
| 542 | ! save gammat and compute zhtflx_b |
|---|
| 543 | zgammat2d(ji,jj)=zgammat |
|---|
| 544 | zgammas2d(ji,jj)=zgammas |
|---|
| 545 | zhtflx_b = zhtflx |
|---|
| 546 | |
|---|
| 547 | END DO |
|---|
| 548 | ! If non conservative we have zcfac=0.0 so zhtflx is as ISOMIP but with different zfrz value |
|---|
| 549 | qisf(ji,jj) = - zhtflx |
|---|
| 550 | ! If non conservative we have zcfac=0.0 so what follows is then zfwflx*sss_m/zsfrz |
|---|
| 551 | fwfisf(ji,jj) = zfwflx |
|---|
| 552 | ELSE |
|---|
| 553 | fwfisf(ji,jj) = 0._wp |
|---|
| 554 | qisf(ji,jj) = 0._wp |
|---|
| 555 | ENDIF |
|---|
| 556 | ! |
|---|
| 557 | END DO |
|---|
| 558 | END DO |
|---|
| 559 | ENDIF |
|---|
| 560 | ! lbclnk |
|---|
| 561 | CALL lbc_lnk(zgammas2d(:,:),'T',1.) |
|---|
| 562 | CALL lbc_lnk(zgammat2d(:,:),'T',1.) |
|---|
| 563 | ! output |
|---|
| 564 | CALL iom_put('isfgammat', zgammat2d) |
|---|
| 565 | CALL iom_put('isfgammas', zgammas2d) |
|---|
| 566 | ! |
|---|
| 567 | CALL wrk_dealloc( jpi,jpj, zfrz,zpress,zti, zgammat2d, zgammas2d ) |
|---|
| 568 | ! |
|---|
| 569 | IF( nn_timing == 1 ) CALL timing_stop('sbc_isf_cav') |
|---|
| 570 | |
|---|
| 571 | END SUBROUTINE sbc_isf_cav |
|---|
| 572 | |
|---|
| 573 | SUBROUTINE sbc_isf_gammats(gt, gs, zqhisf, zqwisf, ji, jj, lit ) |
|---|
| 574 | !!---------------------------------------------------------------------- |
|---|
| 575 | !! ** Purpose : compute the coefficient echange for heat flux |
|---|
| 576 | !! |
|---|
| 577 | !! ** Method : gamma assume constant or depends of u* and stability |
|---|
| 578 | !! |
|---|
| 579 | !! ** References : Holland and Jenkins, 1999, JPO, p1787-1800, eq 14 |
|---|
| 580 | !! Jenkins et al., 2010, JPO, p2298-2312 |
|---|
| 581 | !!--------------------------------------------------------------------- |
|---|
| 582 | REAL(wp), INTENT(inout) :: gt, gs, zqhisf, zqwisf |
|---|
| 583 | INTEGER , INTENT(in) :: ji,jj |
|---|
| 584 | LOGICAL , INTENT(inout) :: lit |
|---|
| 585 | |
|---|
| 586 | INTEGER :: ikt ! loop index |
|---|
| 587 | REAL(wp) :: zut, zvt, zustar ! U, V at T point and friction velocity |
|---|
| 588 | REAL(wp) :: zdku, zdkv ! U, V shear |
|---|
| 589 | REAL(wp) :: zPr, zSc, zRc ! Prandtl, Scmidth and Richardson number |
|---|
| 590 | REAL(wp) :: zmob, zmols ! Monin Obukov length, coriolis factor at T point |
|---|
| 591 | REAL(wp) :: zbuofdep, zhnu ! Bouyancy length scale, sublayer tickness |
|---|
| 592 | REAL(wp) :: zhmax ! limitation of mol |
|---|
| 593 | REAL(wp) :: zetastar ! stability parameter |
|---|
| 594 | REAL(wp) :: zgmolet, zgmoles, zgturb ! contribution of modelecular sublayer and turbulence |
|---|
| 595 | REAL(wp) :: zcoef ! temporary coef |
|---|
| 596 | REAL(wp) :: zdep |
|---|
| 597 | REAL(wp), PARAMETER :: zxsiN = 0.052 ! dimensionless constant |
|---|
| 598 | REAL(wp), PARAMETER :: epsln = 1.0e-20 ! a small positive number |
|---|
| 599 | REAL(wp), PARAMETER :: znu = 1.95e-6 ! kinamatic viscosity of sea water (m2.s-1) |
|---|
| 600 | REAL(wp) :: rcs = 1.0e-3_wp ! conversion: mm/s ==> m/s |
|---|
| 601 | REAL(wp), DIMENSION(2) :: zts, zab |
|---|
| 602 | !!--------------------------------------------------------------------- |
|---|
| 603 | ! |
|---|
| 604 | IF( nn_gammablk == 0 ) THEN |
|---|
| 605 | !! gamma is constant (specified in namelist) |
|---|
| 606 | gt = rn_gammat0 |
|---|
| 607 | gs = rn_gammas0 |
|---|
| 608 | lit = .FALSE. |
|---|
| 609 | ELSE IF ( nn_gammablk == 1 ) THEN |
|---|
| 610 | !! gamma is assume to be proportional to u* |
|---|
| 611 | !! WARNING in case of Losh 2008 tbl parametrization, |
|---|
| 612 | !! you have to used the mean value of u in the boundary layer) |
|---|
| 613 | !! not yet coded |
|---|
| 614 | !! Jenkins et al., 2010, JPO, p2298-2312 |
|---|
| 615 | ikt = mikt(ji,jj) |
|---|
| 616 | !! Compute U and V at T points |
|---|
| 617 | ! zut = 0.5 * ( utbl(ji-1,jj ) + utbl(ji,jj) ) |
|---|
| 618 | ! zvt = 0.5 * ( vtbl(ji ,jj-1) + vtbl(ji,jj) ) |
|---|
| 619 | zut = utbl(ji,jj) |
|---|
| 620 | zvt = vtbl(ji,jj) |
|---|
| 621 | |
|---|
| 622 | !! compute ustar |
|---|
| 623 | zustar = SQRT( rn_tfri2 * (zut * zut + zvt * zvt) ) |
|---|
| 624 | !! Compute mean value over the TBL |
|---|
| 625 | |
|---|
| 626 | !! Compute gammats |
|---|
| 627 | gt = zustar * rn_gammat0 |
|---|
| 628 | gs = zustar * rn_gammas0 |
|---|
| 629 | lit = .FALSE. |
|---|
| 630 | ELSE IF ( nn_gammablk == 2 ) THEN |
|---|
| 631 | !! gamma depends of stability of boundary layer |
|---|
| 632 | !! WARNING in case of Losh 2008 tbl parametrization, |
|---|
| 633 | !! you have to used the mean value of u in the boundary layer) |
|---|
| 634 | !! not yet coded |
|---|
| 635 | !! Holland and Jenkins, 1999, JPO, p1787-1800, eq 14 |
|---|
| 636 | !! as MOL depends of flux and flux depends of MOL, best will be iteration (TO DO) |
|---|
| 637 | ikt = mikt(ji,jj) |
|---|
| 638 | |
|---|
| 639 | !! Compute U and V at T points |
|---|
| 640 | zut = 0.5 * ( utbl(ji-1,jj ) + utbl(ji,jj) ) |
|---|
| 641 | zvt = 0.5 * ( vtbl(ji ,jj-1) + vtbl(ji,jj) ) |
|---|
| 642 | |
|---|
| 643 | !! compute ustar |
|---|
| 644 | zustar = SQRT( rn_tfri2 * (zut * zut + zvt * zvt) ) |
|---|
| 645 | IF (zustar == 0._wp) THEN ! only for kt = 1 I think |
|---|
| 646 | gt = rn_gammat0 |
|---|
| 647 | gs = rn_gammas0 |
|---|
| 648 | ELSE |
|---|
| 649 | !! compute Rc number (as done in zdfric.F90) |
|---|
| 650 | zcoef = 0.5 / fse3w(ji,jj,ikt) |
|---|
| 651 | ! ! shear of horizontal velocity |
|---|
| 652 | zdku = zcoef * ( un(ji-1,jj ,ikt ) + un(ji,jj,ikt ) & |
|---|
| 653 | & -un(ji-1,jj ,ikt+1) - un(ji,jj,ikt+1) ) |
|---|
| 654 | zdkv = zcoef * ( vn(ji ,jj-1,ikt ) + vn(ji,jj,ikt ) & |
|---|
| 655 | & -vn(ji ,jj-1,ikt+1) - vn(ji,jj,ikt+1) ) |
|---|
| 656 | ! ! richardson number (minimum value set to zero) |
|---|
| 657 | zRc = rn2(ji,jj,ikt+1) / ( zdku*zdku + zdkv*zdkv + 1.e-20 ) |
|---|
| 658 | |
|---|
| 659 | !! compute Pr and Sc number (can be improved) |
|---|
| 660 | zPr = 13.8 |
|---|
| 661 | zSc = 2432.0 |
|---|
| 662 | |
|---|
| 663 | !! compute gamma mole |
|---|
| 664 | zgmolet = 12.5 * zPr ** (2.0/3.0) - 6.0 |
|---|
| 665 | zgmoles = 12.5 * zSc ** (2.0/3.0) -6.0 |
|---|
| 666 | |
|---|
| 667 | !! compute bouyancy |
|---|
| 668 | zts(jp_tem) = ttbl(ji,jj) |
|---|
| 669 | zts(jp_sal) = stbl(ji,jj) |
|---|
| 670 | zdep = fsdepw(ji,jj,ikt) |
|---|
| 671 | ! |
|---|
| 672 | CALL eos_rab( zts, zdep, zab ) |
|---|
| 673 | ! |
|---|
| 674 | !! compute length scale |
|---|
| 675 | zbuofdep = grav * ( zab(jp_tem) * zqhisf - zab(jp_sal) * zqwisf ) !!!!!!!!!!!!!!!!!!!!!!!!!!!! |
|---|
| 676 | |
|---|
| 677 | !! compute Monin Obukov Length |
|---|
| 678 | ! Maximum boundary layer depth |
|---|
| 679 | zhmax = fsdept(ji,jj,mbkt(ji,jj)) - fsdepw(ji,jj,mikt(ji,jj)) -0.001 |
|---|
| 680 | ! Compute Monin obukhov length scale at the surface and Ekman depth: |
|---|
| 681 | zmob = zustar ** 3 / (vkarmn * (zbuofdep + epsln)) |
|---|
| 682 | zmols = SIGN(1._wp, zmob) * MIN(ABS(zmob), zhmax) * tmask(ji,jj,ikt) |
|---|
| 683 | |
|---|
| 684 | !! compute eta* (stability parameter) |
|---|
| 685 | zetastar = 1 / ( SQRT(1 + MAX(zxsiN * zustar / ( ABS(ff(ji,jj)) * zmols * zRc ), 0.0))) |
|---|
| 686 | |
|---|
| 687 | !! compute the sublayer thickness |
|---|
| 688 | zhnu = 5 * znu / zustar |
|---|
| 689 | !! compute gamma turb |
|---|
| 690 | zgturb = 1/vkarmn * LOG(zustar * zxsiN * zetastar * zetastar / ( ABS(ff(ji,jj)) * zhnu )) & |
|---|
| 691 | & + 1 / ( 2 * zxsiN * zetastar ) - 1/vkarmn |
|---|
| 692 | |
|---|
| 693 | !! compute gammats |
|---|
| 694 | gt = zustar / (zgturb + zgmolet) |
|---|
| 695 | gs = zustar / (zgturb + zgmoles) |
|---|
| 696 | END IF |
|---|
| 697 | END IF |
|---|
| 698 | |
|---|
| 699 | END SUBROUTINE |
|---|
| 700 | |
|---|
| 701 | SUBROUTINE sbc_isf_tbl( varin, varout, cptin ) |
|---|
| 702 | !!---------------------------------------------------------------------- |
|---|
| 703 | !! *** SUBROUTINE sbc_isf_tbl *** |
|---|
| 704 | !! |
|---|
| 705 | !! ** Purpose : compute mean T/S/U/V in the boundary layer |
|---|
| 706 | !! |
|---|
| 707 | !!---------------------------------------------------------------------- |
|---|
| 708 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: varin |
|---|
| 709 | REAL(wp), DIMENSION(:,:) , INTENT(out):: varout |
|---|
| 710 | |
|---|
| 711 | CHARACTER(len=1), INTENT(in) :: cptin ! point of variable in/out |
|---|
| 712 | |
|---|
| 713 | REAL(wp) :: ze3, zhk |
|---|
| 714 | REAL(wp), DIMENSION(:,:), POINTER :: zikt |
|---|
| 715 | |
|---|
| 716 | INTEGER :: ji,jj,jk |
|---|
| 717 | INTEGER :: ikt,ikb |
|---|
| 718 | INTEGER, DIMENSION(:,:), POINTER :: mkt, mkb |
|---|
| 719 | |
|---|
| 720 | CALL wrk_alloc( jpi,jpj, mkt, mkb ) |
|---|
| 721 | CALL wrk_alloc( jpi,jpj, zikt ) |
|---|
| 722 | |
|---|
| 723 | ! get first and last level of tbl |
|---|
| 724 | mkt(:,:) = misfkt(:,:) |
|---|
| 725 | mkb(:,:) = misfkb(:,:) |
|---|
| 726 | |
|---|
| 727 | varout(:,:)=0._wp |
|---|
| 728 | DO jj = 2,jpj |
|---|
| 729 | DO ji = 2,jpi |
|---|
| 730 | IF (ssmask(ji,jj) == 1) THEN |
|---|
| 731 | ikt = mkt(ji,jj) |
|---|
| 732 | ikb = mkb(ji,jj) |
|---|
| 733 | |
|---|
| 734 | ! level fully include in the ice shelf boundary layer |
|---|
| 735 | DO jk = ikt, ikb - 1 |
|---|
| 736 | ze3 = fse3t_n(ji,jj,jk) |
|---|
| 737 | IF (cptin == 'T' ) varout(ji,jj) = varout(ji,jj) + varin(ji,jj,jk) * r1_hisf_tbl(ji,jj) * ze3 |
|---|
| 738 | IF (cptin == 'U' ) varout(ji,jj) = varout(ji,jj) + 0.5_wp * (varin(ji,jj,jk) + varin(ji-1,jj,jk)) & |
|---|
| 739 | & * r1_hisf_tbl(ji,jj) * ze3 |
|---|
| 740 | IF (cptin == 'V' ) varout(ji,jj) = varout(ji,jj) + 0.5_wp * (varin(ji,jj,jk) + varin(ji,jj-1,jk)) & |
|---|
| 741 | & * r1_hisf_tbl(ji,jj) * ze3 |
|---|
| 742 | END DO |
|---|
| 743 | |
|---|
| 744 | ! level partially include in ice shelf boundary layer |
|---|
| 745 | zhk = SUM( fse3t_n(ji, jj, ikt:ikb - 1)) * r1_hisf_tbl(ji,jj) |
|---|
| 746 | IF (cptin == 'T') & |
|---|
| 747 | & varout(ji,jj) = varout(ji,jj) + varin(ji,jj,ikb) * (1._wp - zhk) |
|---|
| 748 | IF (cptin == 'U') & |
|---|
| 749 | & varout(ji,jj) = varout(ji,jj) + 0.5_wp * (varin(ji,jj,ikb) + varin(ji-1,jj,ikb)) * (1._wp - zhk) |
|---|
| 750 | IF (cptin == 'V') & |
|---|
| 751 | & varout(ji,jj) = varout(ji,jj) + 0.5_wp * (varin(ji,jj,ikb) + varin(ji,jj-1,ikb)) * (1._wp - zhk) |
|---|
| 752 | END IF |
|---|
| 753 | END DO |
|---|
| 754 | END DO |
|---|
| 755 | |
|---|
| 756 | CALL wrk_dealloc( jpi,jpj, mkt, mkb ) |
|---|
| 757 | CALL wrk_dealloc( jpi,jpj, zikt ) |
|---|
| 758 | |
|---|
| 759 | IF (cptin == 'T') CALL lbc_lnk(varout,'T',1.) |
|---|
| 760 | IF (cptin == 'U' .OR. cptin == 'V') CALL lbc_lnk(varout,'T',-1.) |
|---|
| 761 | |
|---|
| 762 | END SUBROUTINE sbc_isf_tbl |
|---|
| 763 | |
|---|
| 764 | |
|---|
| 765 | SUBROUTINE sbc_isf_div( phdivn ) |
|---|
| 766 | !!---------------------------------------------------------------------- |
|---|
| 767 | !! *** SUBROUTINE sbc_isf_div *** |
|---|
| 768 | !! |
|---|
| 769 | !! ** Purpose : update the horizontal divergence with the runoff inflow |
|---|
| 770 | !! |
|---|
| 771 | !! ** Method : |
|---|
| 772 | !! CAUTION : risf_tsc(:,:,jp_sal) is negative (outflow) increase the |
|---|
| 773 | !! divergence and expressed in m/s |
|---|
| 774 | !! |
|---|
| 775 | !! ** Action : phdivn decreased by the runoff inflow |
|---|
| 776 | !!---------------------------------------------------------------------- |
|---|
| 777 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: phdivn ! horizontal divergence |
|---|
| 778 | !! |
|---|
| 779 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 780 | INTEGER :: ikt, ikb |
|---|
| 781 | INTEGER :: nk_isf |
|---|
| 782 | REAL(wp) :: zhk, z1_hisf_tbl, zhisf_tbl |
|---|
| 783 | REAL(wp) :: zfact ! local scalar |
|---|
| 784 | !!---------------------------------------------------------------------- |
|---|
| 785 | ! |
|---|
| 786 | zfact = 0.5_wp |
|---|
| 787 | ! |
|---|
| 788 | IF (lk_vvl) THEN ! need to re compute level distribution of isf fresh water |
|---|
| 789 | DO jj = 1,jpj |
|---|
| 790 | DO ji = 1,jpi |
|---|
| 791 | ikt = misfkt(ji,jj) |
|---|
| 792 | ikb = misfkt(ji,jj) |
|---|
| 793 | ! thickness of boundary layer at least the top level thickness |
|---|
| 794 | rhisf_tbl(ji,jj) = MAX(rhisf_tbl_0(ji,jj), fse3t(ji,jj,ikt)) |
|---|
| 795 | |
|---|
| 796 | ! determine the deepest level influenced by the boundary layer |
|---|
| 797 | ! test on tmask useless ????? |
|---|
| 798 | DO jk = ikt, mbkt(ji,jj) |
|---|
| 799 | IF ( (SUM(fse3t(ji,jj,ikt:jk-1)) .LT. rhisf_tbl(ji,jj)) .AND. (tmask(ji,jj,jk) == 1) ) ikb = jk |
|---|
| 800 | END DO |
|---|
| 801 | rhisf_tbl(ji,jj) = MIN(rhisf_tbl(ji,jj), SUM(fse3t(ji,jj,ikt:ikb))) ! limit the tbl to water thickness. |
|---|
| 802 | misfkb(ji,jj) = ikb ! last wet level of the tbl |
|---|
| 803 | r1_hisf_tbl(ji,jj) = 1._wp / rhisf_tbl(ji,jj) |
|---|
| 804 | |
|---|
| 805 | zhk = SUM( fse3t(ji, jj, ikt:ikb - 1)) * r1_hisf_tbl(ji,jj) ! proportion of tbl cover by cell from ikt to ikb - 1 |
|---|
| 806 | ralpha(ji,jj) = rhisf_tbl(ji,jj) * (1._wp - zhk ) / fse3t(ji,jj,ikb) ! proportion of bottom cell influenced by boundary layer |
|---|
| 807 | END DO |
|---|
| 808 | END DO |
|---|
| 809 | END IF ! vvl case |
|---|
| 810 | ! |
|---|
| 811 | DO jj = 1,jpj |
|---|
| 812 | DO ji = 1,jpi |
|---|
| 813 | ikt = misfkt(ji,jj) |
|---|
| 814 | ikb = misfkb(ji,jj) |
|---|
| 815 | ! level fully include in the ice shelf boundary layer |
|---|
| 816 | DO jk = ikt, ikb - 1 |
|---|
| 817 | phdivn(ji,jj,jk) = phdivn(ji,jj,jk) + ( fwfisf(ji,jj) + fwfisf_b(ji,jj) ) & |
|---|
| 818 | & * r1_hisf_tbl(ji,jj) * r1_rau0 * zfact |
|---|
| 819 | END DO |
|---|
| 820 | ! level partially include in ice shelf boundary layer |
|---|
| 821 | phdivn(ji,jj,ikb) = phdivn(ji,jj,ikb) + ( fwfisf(ji,jj) & |
|---|
| 822 | & + fwfisf_b(ji,jj) ) * r1_hisf_tbl(ji,jj) * r1_rau0 * zfact * ralpha(ji,jj) |
|---|
| 823 | !== ice shelf melting mass distributed over several levels ==! |
|---|
| 824 | END DO |
|---|
| 825 | END DO |
|---|
| 826 | ! |
|---|
| 827 | END SUBROUTINE sbc_isf_div |
|---|
| 828 | |
|---|
| 829 | FUNCTION tinsitu( ptem, psal, ppress ) RESULT( pti ) |
|---|
| 830 | !!---------------------------------------------------------------------- |
|---|
| 831 | !! *** ROUTINE eos_init *** |
|---|
| 832 | !! |
|---|
| 833 | !! ** Purpose : Compute the in-situ temperature [Celcius] |
|---|
| 834 | !! |
|---|
| 835 | !! ** Method : |
|---|
| 836 | !! |
|---|
| 837 | !! Reference : Bryden,h.,1973,deep-sea res.,20,401-408 |
|---|
| 838 | !!---------------------------------------------------------------------- |
|---|
| 839 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: ptem ! potential temperature [Celcius] |
|---|
| 840 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: psal ! salinity [psu] |
|---|
| 841 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: ppress ! pressure [dBar] |
|---|
| 842 | REAL(wp), DIMENSION(:,:), POINTER :: pti ! in-situ temperature [Celcius] |
|---|
| 843 | ! REAL(wp) :: fsatg |
|---|
| 844 | ! REAL(wp) :: pfps, pfpt, pfphp |
|---|
| 845 | REAL(wp) :: zt, zs, zp, zh, zq, zxk |
|---|
| 846 | INTEGER :: ji, jj ! dummy loop indices |
|---|
| 847 | ! |
|---|
| 848 | CALL wrk_alloc( jpi,jpj, pti ) |
|---|
| 849 | ! |
|---|
| 850 | DO jj=1,jpj |
|---|
| 851 | DO ji=1,jpi |
|---|
| 852 | zh = ppress(ji,jj) |
|---|
| 853 | ! Theta1 |
|---|
| 854 | zt = ptem(ji,jj) |
|---|
| 855 | zs = psal(ji,jj) |
|---|
| 856 | zp = 0.0 |
|---|
| 857 | zxk= zh * fsatg( zs, zt, zp ) |
|---|
| 858 | zt = zt + 0.5 * zxk |
|---|
| 859 | zq = zxk |
|---|
| 860 | ! Theta2 |
|---|
| 861 | zp = zp + 0.5 * zh |
|---|
| 862 | zxk= zh*fsatg( zs, zt, zp ) |
|---|
| 863 | zt = zt + 0.29289322 * ( zxk - zq ) |
|---|
| 864 | zq = 0.58578644 * zxk + 0.121320344 * zq |
|---|
| 865 | ! Theta3 |
|---|
| 866 | zxk= zh * fsatg( zs, zt, zp ) |
|---|
| 867 | zt = zt + 1.707106781 * ( zxk - zq ) |
|---|
| 868 | zq = 3.414213562 * zxk - 4.121320344 * zq |
|---|
| 869 | ! Theta4 |
|---|
| 870 | zp = zp + 0.5 * zh |
|---|
| 871 | zxk= zh * fsatg( zs, zt, zp ) |
|---|
| 872 | pti(ji,jj) = zt + ( zxk - 2.0 * zq ) / 6.0 |
|---|
| 873 | END DO |
|---|
| 874 | END DO |
|---|
| 875 | ! |
|---|
| 876 | CALL wrk_dealloc( jpi,jpj, pti ) |
|---|
| 877 | ! |
|---|
| 878 | END FUNCTION tinsitu |
|---|
| 879 | ! |
|---|
| 880 | FUNCTION fsatg( pfps, pfpt, pfphp ) |
|---|
| 881 | !!---------------------------------------------------------------------- |
|---|
| 882 | !! *** FUNCTION fsatg *** |
|---|
| 883 | !! |
|---|
| 884 | !! ** Purpose : Compute the Adiabatic laspse rate [Celcius].[decibar]^-1 |
|---|
| 885 | !! |
|---|
| 886 | !! ** Reference : Bryden,h.,1973,deep-sea res.,20,401-408 |
|---|
| 887 | !! |
|---|
| 888 | !! ** units : pressure pfphp decibars |
|---|
| 889 | !! temperature pfpt deg celsius (ipts-68) |
|---|
| 890 | !! salinity pfps (ipss-78) |
|---|
| 891 | !! adiabatic fsatg deg. c/decibar |
|---|
| 892 | !!---------------------------------------------------------------------- |
|---|
| 893 | REAL(wp) :: pfps, pfpt, pfphp |
|---|
| 894 | REAL(wp) :: fsatg |
|---|
| 895 | ! |
|---|
| 896 | fsatg = (((-2.1687e-16*pfpt+1.8676e-14)*pfpt-4.6206e-13)*pfphp & |
|---|
| 897 | & +((2.7759e-12*pfpt-1.1351e-10)*(pfps-35.)+((-5.4481e-14*pfpt & |
|---|
| 898 | & +8.733e-12)*pfpt-6.7795e-10)*pfpt+1.8741e-8))*pfphp & |
|---|
| 899 | & +(-4.2393e-8*pfpt+1.8932e-6)*(pfps-35.) & |
|---|
| 900 | & +((6.6228e-10*pfpt-6.836e-8)*pfpt+8.5258e-6)*pfpt+3.5803e-5 |
|---|
| 901 | ! |
|---|
| 902 | END FUNCTION fsatg |
|---|
| 903 | !!====================================================================== |
|---|
| 904 | END MODULE sbcisf |
|---|
