| 1 | MODULE isfcavgam |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE isfgammats *** |
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| 4 | !! Ice shelf gamma module : compute exchange coeficient at the ice/ocean interface |
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| 5 | !!====================================================================== |
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| 6 | !! History : 4.1 ! (P. Mathiot) original |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | !! isfcav_gammats : compute exchange coeficient gamma |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | USE isf_oce |
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| 13 | USE isfutils, ONLY: debug |
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| 14 | USE isftbl , ONLY: isf_tbl |
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| 15 | |
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| 16 | USE oce , ONLY: uu, vv ! ocean dynamics |
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| 17 | USE phycst , ONLY: grav, vkarmn ! physical constant |
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| 18 | USE eosbn2 , ONLY: eos_rab ! equation of state |
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| 19 | USE zdfdrg , ONLY: rCd0_top, r_ke0_top ! vertical physics: top/bottom drag coef. |
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| 20 | USE iom , ONLY: iom_put ! |
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| 21 | USE lib_mpp , ONLY: ctl_stop |
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| 22 | |
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| 23 | USE dom_oce ! ocean space and time domain |
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| 24 | USE in_out_manager ! I/O manager |
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| 25 | ! |
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| 26 | IMPLICIT NONE |
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| 27 | ! |
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| 28 | PRIVATE |
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| 29 | ! |
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| 30 | PUBLIC isfcav_gammats |
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| 31 | |
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| 32 | !! * Substitutions |
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| 33 | # include "do_loop_substitute.h90" |
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| 34 | # include "domzgr_substitute.h90" |
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| 35 | !!---------------------------------------------------------------------- |
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| 36 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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| 37 | !! $Id: sbcisf.F90 10536 2019-01-16 19:21:09Z mathiot $ |
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| 38 | !! Software governed by the CeCILL license (see ./LICENSE) |
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| 39 | !!---------------------------------------------------------------------- |
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| 40 | CONTAINS |
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| 41 | ! |
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| 42 | !!----------------------------------------------------------------------------------------------------- |
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| 43 | !! PUBLIC SUBROUTINES |
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| 44 | !!----------------------------------------------------------------------------------------------------- |
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| 45 | ! |
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| 46 | SUBROUTINE isfcav_gammats( Kmm, pttbl, pstbl, pqoce, pqfwf, pRc, pgt, pgs ) |
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| 47 | !!---------------------------------------------------------------------- |
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| 48 | !! ** Purpose : compute the coefficient echange for heat and fwf flux |
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| 49 | !! |
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| 50 | !! ** Method : select the gamma formulation |
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| 51 | !! 3 method available (cst, vel and vel_stab) |
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| 52 | !!--------------------------------------------------------------------- |
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| 53 | !!-------------------------- OUT ------------------------------------- |
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| 54 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pgt , pgs ! gamma t and gamma s |
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| 55 | !!-------------------------- IN ------------------------------------- |
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| 56 | INTEGER :: Kmm ! ocean time level index |
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| 57 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pqoce, pqfwf ! isf heat and fwf |
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| 58 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pttbl, pstbl ! top boundary layer tracer |
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| 59 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pRc ! Richardson number |
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| 60 | !!--------------------------------------------------------------------- |
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| 61 | REAL(wp), DIMENSION(jpi,jpj) :: zutbl, zvtbl ! top boundary layer velocity |
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| 62 | !!--------------------------------------------------------------------- |
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| 63 | ! |
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| 64 | !========================================== |
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| 65 | ! 1.: compute velocity in the tbl if needed |
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| 66 | !========================================== |
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| 67 | ! |
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| 68 | SELECT CASE ( cn_gammablk ) |
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| 69 | CASE ( 'spe' ) |
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| 70 | ! gamma is constant (specified in namelist) |
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| 71 | ! nothing to do |
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| 72 | CASE ('vel', 'vel_stab') |
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| 73 | ! compute velocity in tbl |
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| 74 | CALL isf_tbl(Kmm, uu(:,:,:,Kmm) ,zutbl(:,:),'U', miku, rhisf_tbl_cav) |
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| 75 | CALL isf_tbl(Kmm, vv(:,:,:,Kmm) ,zvtbl(:,:),'V', mikv, rhisf_tbl_cav) |
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| 76 | ! |
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| 77 | ! mask velocity in tbl with ice shelf mask |
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| 78 | zutbl(:,:) = zutbl(:,:) * mskisf_cav(:,:) |
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| 79 | zvtbl(:,:) = zvtbl(:,:) * mskisf_cav(:,:) |
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| 80 | ! |
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| 81 | ! output |
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| 82 | CALL iom_put('utbl',zutbl(:,:)) |
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| 83 | CALL iom_put('vtbl',zvtbl(:,:)) |
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| 84 | CASE DEFAULT |
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| 85 | CALL ctl_stop('STOP','method to compute gamma (cn_gammablk) is unknown (should not see this)') |
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| 86 | END SELECT |
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| 87 | ! |
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| 88 | !========================================== |
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| 89 | ! 2.: compute gamma |
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| 90 | !========================================== |
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| 91 | ! |
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| 92 | SELECT CASE ( cn_gammablk ) |
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| 93 | CASE ( 'spe' ) ! gamma is constant (specified in namelist) |
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| 94 | pgt(:,:) = rn_gammat0 |
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| 95 | pgs(:,:) = rn_gammas0 |
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| 96 | CASE ( 'vel' ) ! gamma is proportional to u* |
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| 97 | CALL gammats_vel ( zutbl, zvtbl, rCd0_top, rn_vtide**2, pgt, pgs ) |
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| 98 | CASE ( 'vel_stab' ) ! gamma depends of stability of boundary layer and u* |
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| 99 | CALL gammats_vel_stab (Kmm, pttbl, pstbl, zutbl, zvtbl, rCd0_top, rn_vtide**2, pqoce, pqfwf, pRc, pgt, pgs ) |
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| 100 | CASE DEFAULT |
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| 101 | CALL ctl_stop('STOP','method to compute gamma (cn_gammablk) is unknown (should not see this)') |
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| 102 | END SELECT |
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| 103 | ! |
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| 104 | !========================================== |
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| 105 | ! 3.: output and debug |
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| 106 | !========================================== |
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| 107 | ! |
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| 108 | CALL iom_put('isfgammat', pgt(:,:)) |
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| 109 | CALL iom_put('isfgammas', pgs(:,:)) |
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| 110 | ! |
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| 111 | IF (ln_isfdebug) THEN |
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| 112 | CALL debug( 'isfcav_gam pgt:', pgt(:,:) ) |
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| 113 | CALL debug( 'isfcav_gam pgs:', pgs(:,:) ) |
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| 114 | END IF |
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| 115 | ! |
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| 116 | END SUBROUTINE isfcav_gammats |
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| 117 | ! |
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| 118 | !!----------------------------------------------------------------------------------------------------- |
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| 119 | !! PRIVATE SUBROUTINES |
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| 120 | !!----------------------------------------------------------------------------------------------------- |
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| 121 | ! |
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| 122 | SUBROUTINE gammats_vel( putbl, pvtbl, pCd, pke2, & ! <<== in |
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| 123 | & pgt, pgs ) ! ==>> out gammats [m/s] |
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| 124 | !!---------------------------------------------------------------------- |
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| 125 | !! ** Purpose : compute the coefficient echange coefficient |
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| 126 | !! |
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| 127 | !! ** Method : gamma is velocity dependent ( gt= gt0 * Ustar ) |
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| 128 | !! |
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| 129 | !! ** Reference : Asay-Davis et al., Geosci. Model Dev., 9, 2471-2497, 2016 |
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| 130 | !!--------------------------------------------------------------------- |
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| 131 | !!-------------------------- OUT ------------------------------------- |
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| 132 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pgt, pgs ! gammat and gammas [m/s] |
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| 133 | !!-------------------------- IN ------------------------------------- |
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| 134 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: putbl, pvtbl ! velocity in the losch top boundary layer |
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| 135 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pCd ! drag coefficient |
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| 136 | REAL(wp), INTENT(in ) :: pke2 ! background velocity |
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| 137 | !!--------------------------------------------------------------------- |
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| 138 | INTEGER :: ji, jj ! loop index |
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| 139 | REAL(wp), DIMENSION(jpi,jpj) :: zustar |
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| 140 | !!--------------------------------------------------------------------- |
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| 141 | ! |
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| 142 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
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| 143 | ! compute ustar (AD15 eq. 27) |
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| 144 | zustar(ji,jj) = SQRT( pCd(ji,jj) * ( putbl(ji,jj) * putbl(ji,jj) + pvtbl(ji,jj) * pvtbl(ji,jj) + pke2 ) ) * mskisf_cav(ji,jj) |
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| 145 | ! |
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| 146 | ! Compute gammats |
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| 147 | pgt(ji,jj) = zustar(ji,jj) * rn_gammat0 |
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| 148 | pgs(ji,jj) = zustar(ji,jj) * rn_gammas0 |
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| 149 | END_2D |
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| 150 | ! |
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| 151 | ! output ustar |
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| 152 | CALL iom_put('isfustar',zustar(:,:)) |
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| 153 | ! |
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| 154 | END SUBROUTINE gammats_vel |
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| 155 | |
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| 156 | SUBROUTINE gammats_vel_stab( Kmm, pttbl, pstbl, putbl, pvtbl, pCd, pke2, pqoce, pqfwf, pRc, & ! <<== in |
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| 157 | & pgt , pgs ) ! ==>> out gammats [m/s] |
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| 158 | !!---------------------------------------------------------------------- |
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| 159 | !! ** Purpose : compute the coefficient echange coefficient |
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| 160 | !! |
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| 161 | !! ** Method : gamma is velocity dependent and stability dependent |
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| 162 | !! |
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| 163 | !! ** Reference : Holland and Jenkins, 1999, JPO, p1787-1800 |
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| 164 | !!--------------------------------------------------------------------- |
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| 165 | !!-------------------------- OUT ------------------------------------- |
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| 166 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pgt, pgs ! gammat and gammas |
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| 167 | !!-------------------------- IN ------------------------------------- |
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| 168 | INTEGER :: Kmm ! ocean time level index |
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| 169 | REAL(wp), INTENT(in ) :: pke2 ! background velocity squared |
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| 170 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pqoce, pqfwf ! surface heat flux and fwf flux |
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| 171 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pCd ! drag coeficient |
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| 172 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: putbl, pvtbl ! velocity in the losch top boundary layer |
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| 173 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pttbl, pstbl ! tracer in the losch top boundary layer |
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| 174 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pRc ! Richardson number |
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| 175 | !!--------------------------------------------------------------------- |
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| 176 | INTEGER :: ji, jj ! loop index |
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| 177 | INTEGER :: ikt ! local integer |
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| 178 | REAL(wp) :: zdku, zdkv ! U, V shear |
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| 179 | REAL(wp) :: zPr, zSc ! Prandtl and Scmidth number |
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| 180 | REAL(wp) :: zmob, zmols ! Monin Obukov length, coriolis factor at T point |
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| 181 | REAL(wp) :: zbuofdep, zhnu ! Bouyancy length scale, sublayer tickness |
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| 182 | REAL(wp) :: zhmax ! limitation of mol |
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| 183 | REAL(wp) :: zetastar ! stability parameter |
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| 184 | REAL(wp) :: zgmolet, zgmoles, zgturb ! contribution of modelecular sublayer and turbulence |
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| 185 | REAL(wp) :: zcoef ! temporary coef |
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| 186 | REAL(wp) :: zdep |
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| 187 | REAL(wp) :: zeps = 1.0e-20_wp |
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| 188 | REAL(wp), PARAMETER :: zxsiN = 0.052_wp ! dimensionless constant |
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| 189 | REAL(wp), PARAMETER :: znu = 1.95e-6_wp ! kinamatic viscosity of sea water (m2.s-1) |
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| 190 | REAL(wp), DIMENSION(2) :: zts, zab |
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| 191 | REAL(wp), DIMENSION(jpi,jpj) :: zustar ! friction velocity |
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| 192 | !!--------------------------------------------------------------------- |
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| 193 | ! |
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| 194 | ! compute Pr and Sc number (eq ??) |
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| 195 | zPr = 13.8_wp |
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| 196 | zSc = 2432.0_wp |
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| 197 | ! |
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| 198 | ! compute gamma mole (eq ??) |
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| 199 | zgmolet = 12.5_wp * zPr ** (2.0/3.0) - 6.0_wp |
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| 200 | zgmoles = 12.5_wp * zSc ** (2.0/3.0) - 6.0_wp |
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| 201 | ! |
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| 202 | ! compute gamma |
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| 203 | DO_2D( nn_hls, nn_hls, nn_hls, nn_hls ) |
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| 204 | |
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| 205 | ikt = mikt(ji,jj) |
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| 206 | |
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| 207 | ! compute ustar |
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| 208 | zustar(ji,jj) = SQRT( pCd(ji,jj) * ( putbl(ji,jj) * putbl(ji,jj) + pvtbl(ji,jj) * pvtbl(ji,jj) + pke2 ) ) |
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| 209 | |
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| 210 | IF( zustar(ji,jj) == 0._wp ) THEN ! only for kt = 1 I think |
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| 211 | pgt(ji,jj) = rn_gammat0 |
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| 212 | pgs(ji,jj) = rn_gammas0 |
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| 213 | ELSE |
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| 214 | ! compute bouyancy |
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| 215 | zts(jp_tem) = pttbl(ji,jj) |
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| 216 | zts(jp_sal) = pstbl(ji,jj) |
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| 217 | zdep = gdepw(ji,jj,ikt,Kmm) |
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| 218 | ! |
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| 219 | CALL eos_rab( zts, zdep, zab, Kmm ) |
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| 220 | ! |
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| 221 | ! compute length scale (Eq ??) |
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| 222 | zbuofdep = grav * ( zab(jp_tem) * pqoce(ji,jj) - zab(jp_sal) * pqfwf(ji,jj) ) |
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| 223 | ! |
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| 224 | ! compute Monin Obukov Length |
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| 225 | ! Maximum boundary layer depth (Eq ??) |
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| 226 | zhmax = gdept(ji,jj,mbkt(ji,jj),Kmm) - gdepw(ji,jj,mikt(ji,jj),Kmm) -0.001_wp |
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| 227 | ! |
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| 228 | ! Compute Monin obukhov length scale at the surface and Ekman depth: (Eq ??) |
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| 229 | zmob = zustar(ji,jj) ** 3 / (vkarmn * (zbuofdep + zeps)) |
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| 230 | zmols = SIGN(1._wp, zmob) * MIN(ABS(zmob), zhmax) * tmask(ji,jj,ikt) |
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| 231 | ! |
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| 232 | ! compute eta* (stability parameter) (Eq ??) |
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| 233 | zetastar = 1._wp / ( SQRT(1._wp + MAX( 0._wp, zxsiN * zustar(ji,jj) & |
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| 234 | & / MAX( 1.e-20, ABS(ff_t(ji,jj)) * zmols * pRc(ji,jj) ) ))) |
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| 235 | ! |
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| 236 | ! compute the sublayer thickness (Eq ??) |
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| 237 | zhnu = 5 * znu / MAX( 1.e-20, zustar(ji,jj) ) |
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| 238 | ! |
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| 239 | ! compute gamma turb (Eq ??) |
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| 240 | zgturb = 1._wp / vkarmn * LOG(zustar(ji,jj) * zxsiN * zetastar * zetastar / MAX( 1.e-10, ABS(ff_t(ji,jj)) * zhnu )) & |
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| 241 | & + 1._wp / ( 2 * zxsiN * zetastar ) - 1._wp / vkarmn |
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| 242 | ! |
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| 243 | ! compute gammats |
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| 244 | pgt(ji,jj) = zustar(ji,jj) / (zgturb + zgmolet) |
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| 245 | pgs(ji,jj) = zustar(ji,jj) / (zgturb + zgmoles) |
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| 246 | END IF |
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| 247 | END_2D |
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| 248 | ! output ustar |
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| 249 | CALL iom_put('isfustar',zustar(:,:)) |
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| 250 | |
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| 251 | END SUBROUTINE gammats_vel_stab |
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| 252 | |
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| 253 | END MODULE isfcavgam |
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