| 1 | MODULE trabbl |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE trabbl *** |
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| 4 | !! Ocean physics : advective and/or diffusive bottom boundary layer scheme |
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| 5 | !!============================================================================== |
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| 6 | !! History : OPA ! 1996-06 (L. Mortier) Original code |
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| 7 | !! 8.0 ! 1997-11 (G. Madec) Optimization |
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| 8 | !! NEMO 1.0 ! 2002-08 (G. Madec) free form + modules |
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| 9 | !! - ! 2004-01 (A. de Miranda, G. Madec, J.M. Molines ) add advective bbl |
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| 10 | !! 3.3 ! 2009-11 (G. Madec) merge trabbl and trabbl_adv + style + optimization |
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| 11 | !! - ! 2010-04 (G. Madec) Campin & Goosse advective bbl |
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| 12 | !! - ! 2010-06 (C. Ethe, G. Madec) merge TRA-TRC |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | #if defined key_trabbl || defined key_esopa |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | !! 'key_trabbl' or bottom boundary layer |
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| 17 | !!---------------------------------------------------------------------- |
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| 18 | !! tra_bbl : update the tracer trends due to the bottom boundary layer (advective and/or diffusive) |
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| 19 | !! tra_bbl_dif : generic routine to compute bbl diffusive trend |
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| 20 | !! tra_bbl_adv : generic routine to compute bbl advective trend |
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| 21 | !! bbl : computation of bbl diffu. flux coef. & transport in bottom boundary layer |
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| 22 | !! tra_bbl_init : initialization, namlist read, parameters control |
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| 23 | !!---------------------------------------------------------------------- |
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| 24 | USE oce ! ocean dynamics and active tracers |
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| 25 | USE dom_oce ! ocean space and time domain |
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| 26 | USE phycst ! |
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| 27 | USE eosbn2 ! equation of state |
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| 28 | USE trdmod_oce ! ocean space and time domain |
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| 29 | USE trdtra ! ocean active tracers trends |
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| 30 | USE iom ! IOM server |
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| 31 | USE in_out_manager ! I/O manager |
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| 32 | USE lbclnk ! ocean lateral boundary conditions |
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| 33 | USE prtctl ! Print control |
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| 34 | |
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| 35 | IMPLICIT NONE |
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| 36 | PRIVATE |
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| 37 | |
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| 38 | PUBLIC tra_bbl ! routine called by step.F90 |
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| 39 | PUBLIC tra_bbl_init ! routine called by opa.F90 |
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| 40 | PUBLIC tra_bbl_dif ! routine called by tra_bbl and trc_bbl |
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| 41 | PUBLIC tra_bbl_adv ! - - - - |
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| 42 | PUBLIC bbl ! - - - - |
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| 43 | |
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| 44 | # if defined key_trabbl |
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| 45 | LOGICAL, PUBLIC, PARAMETER :: lk_trabbl = .TRUE. !: bottom boundary layer flag |
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| 46 | # else |
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| 47 | LOGICAL, PUBLIC, PARAMETER :: lk_trabbl = .FALSE. !: bottom boundary layer flag |
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| 48 | # endif |
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| 49 | |
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| 50 | ! !!* Namelist nambbl * |
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| 51 | INTEGER , PUBLIC :: nn_bbl_ldf = 0 !: =1 : diffusive bbl or not (=0) |
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| 52 | INTEGER , PUBLIC :: nn_bbl_adv = 0 !: =1/2 : advective bbl or not (=0) |
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| 53 | ! ! =1 : advective bbl using the model velocity |
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| 54 | ! ! =2 : - - using utr_bbl proportional to grad(rho) |
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| 55 | REAL(wp), PUBLIC :: rn_ahtbbl = 1.e+3 !: along slope bbl diffusive coefficient [m2/s] |
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| 56 | REAL(wp), PUBLIC :: rn_gambbl = 10.e0 !: lateral coeff. for bottom boundary layer scheme [s] |
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| 57 | |
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| 58 | INTEGER , DIMENSION(jpi,jpj) :: mbkt ! vertical index of the bottom ocean T-level |
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| 59 | INTEGER , DIMENSION(jpi,jpj) :: mbku , mbkv ! vertical index of the (upper) bottom ocean U/V-level |
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| 60 | INTEGER , DIMENSION(jpi,jpj) :: mbku_d , mbkv_d ! vertical index of the "lower" bottom ocean U/V-level |
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| 61 | INTEGER , DIMENSION(jpi,jpj) :: mgrhu , mgrhv ! = +/-1, sign of grad(H) in u-(v-)direction |
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| 62 | REAL(wp), DIMENSION(jpi,jpj), PUBLIC :: utr_bbl , vtr_bbl ! u- (v-) transport in the bottom boundary layer |
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| 63 | REAL(wp), DIMENSION(jpi,jpj) :: ahu_bbl_0, ahv_bbl_0 ! diffusive bbl flux coefficients at u and v-points |
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| 64 | REAL(wp), DIMENSION(jpi,jpj) :: ahu_bbl , ahv_bbl ! masked diffusive bbl coefficients at u and v-points |
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| 65 | REAL(wp), DIMENSION(jpi,jpj) :: e3u_bbl_0, e3v_bbl_0 ! thichness of the bbl (e3) at u and v-points |
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| 66 | REAL(wp), DIMENSION(jpi,jpj) :: e1e2t_r ! thichness of the bbl (e3) at u and v-points |
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| 67 | LOGICAL, PUBLIC :: l_bbl !: flag to compute bbl diffu. flux coef and transport |
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| 68 | |
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| 69 | !! * Substitutions |
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| 70 | # include "domzgr_substitute.h90" |
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| 71 | # include "vectopt_loop_substitute.h90" |
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| 72 | !!---------------------------------------------------------------------- |
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| 73 | !! NEMO/OPA 3.3 , LOCEAN-IPSL (2010) |
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| 74 | !! $Id$ |
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| 75 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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| 76 | !!---------------------------------------------------------------------- |
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| 77 | |
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| 78 | CONTAINS |
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| 79 | |
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| 80 | |
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| 81 | SUBROUTINE tra_bbl( kt ) |
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| 82 | !!---------------------------------------------------------------------- |
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| 83 | !! *** ROUTINE bbl *** |
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| 84 | !! |
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| 85 | !! ** Purpose : Compute the before tracer (t & s) trend associated |
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| 86 | !! with the bottom boundary layer and add it to the general trend |
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| 87 | !! of tracer equations. |
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| 88 | !! |
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| 89 | !!---------------------------------------------------------------------- |
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| 90 | INTEGER, INTENT( in ) :: kt ! ocean time-step |
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| 91 | ! |
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| 92 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrdt, ztrds |
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| 93 | !!---------------------------------------------------------------------- |
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| 94 | |
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| 95 | IF( l_trdtra ) THEN !* Save ta and sa trends |
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| 96 | ALLOCATE( ztrdt(jpi,jpj,jpk) ) ; ztrdt(:,:,:) = tsa(:,:,:,jp_tem) |
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| 97 | ALLOCATE( ztrds(jpi,jpj,jpk) ) ; ztrds(:,:,:) = tsa(:,:,:,jp_sal) |
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| 98 | ENDIF |
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| 99 | |
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| 100 | !* bbl coef and transport are computed only if not already done in passive tracers routine |
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| 101 | IF( l_bbl ) CALL bbl( kt, 'TRA' ) |
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| 102 | |
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| 103 | !* Diffusive bbl : |
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| 104 | IF( nn_bbl_ldf == 1 ) THEN |
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| 105 | CALL tra_bbl_dif( tsb, tsa, jpts ) |
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| 106 | IF( ln_ctl ) & |
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| 107 | CALL prt_ctl( tab3d_1=tsa(:,:,:,jp_tem), clinfo1=' bbl_ldf - Ta: ', mask1=tmask, & |
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| 108 | & tab3d_2=tsa(:,:,:,jp_sal), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
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| 109 | ! lateral boundary conditions ; just need for outputs |
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| 110 | CALL lbc_lnk( ahu_bbl, 'U', 1. ) ; CALL lbc_lnk( ahv_bbl, 'V', 1. ) |
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| 111 | CALL iom_put( "ahu_bbl", ahu_bbl ) ! bbl diffusive flux i-coef |
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| 112 | CALL iom_put( "ahv_bbl", ahv_bbl ) ! bbl diffusive flux j-coef |
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| 113 | END IF |
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| 114 | |
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| 115 | !* Advective bbl : bbl upstream advective trends added to the tracer trends |
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| 116 | IF( nn_bbl_adv /= 0 ) THEN |
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| 117 | CALL tra_bbl_adv( tsb, tsa, jpts ) |
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| 118 | IF(ln_ctl) & |
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| 119 | CALL prt_ctl( tab3d_1=tsa(:,:,:,jp_tem), clinfo1=' bbl_adv - Ta: ', mask1=tmask, & |
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| 120 | & tab3d_2=tsa(:,:,:,jp_sal), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
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| 121 | ! lateral boundary conditions ; just need for outputs |
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| 122 | CALL lbc_lnk( utr_bbl, 'U', 1. ) ; CALL lbc_lnk( vtr_bbl, 'V', 1. ) |
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| 123 | CALL iom_put( "uoce_bbl", utr_bbl ) ! bbl i-transport |
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| 124 | CALL iom_put( "voce_bbl", vtr_bbl ) ! bbl j-transport |
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| 125 | END IF |
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| 126 | |
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| 127 | IF( l_trdtra ) THEN ! save the horizontal diffusive trends for further diagnostics |
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| 128 | ztrdt(:,:,:) = tsa(:,:,:,jp_tem) - ztrdt(:,:,:) |
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| 129 | ztrds(:,:,:) = tsa(:,:,:,jp_sal) - ztrds(:,:,:) |
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| 130 | CALL trd_tra( kt, 'TRA', jp_tem, jptra_trd_bbl, ztrdt ) |
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| 131 | CALL trd_tra( kt, 'TRA', jp_sal, jptra_trd_bbl, ztrds ) |
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| 132 | DEALLOCATE( ztrdt ) ; DEALLOCATE( ztrds ) |
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| 133 | ENDIF |
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| 134 | ! |
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| 135 | END SUBROUTINE tra_bbl |
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| 136 | |
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| 137 | |
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| 138 | SUBROUTINE tra_bbl_dif( ptrab, ptraa, kjpt ) |
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| 139 | !!---------------------------------------------------------------------- |
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| 140 | !! *** ROUTINE tra_bbl_dif *** |
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| 141 | !! |
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| 142 | !! ** Purpose : Computes the bottom boundary horizontal and vertical |
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| 143 | !! advection terms. |
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| 144 | !! |
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| 145 | !! ** Method : |
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| 146 | !! * diffusive bbl (nn_bbl_ldf=1) : |
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| 147 | !! When the product grad( rho) * grad(h) < 0 (where grad is an |
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| 148 | !! along bottom slope gradient) an additional lateral 2nd order |
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| 149 | !! diffusion along the bottom slope is added to the general |
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| 150 | !! tracer trend, otherwise the additional trend is set to 0. |
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| 151 | !! A typical value of ahbt is 2000 m2/s (equivalent to |
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| 152 | !! a downslope velocity of 20 cm/s if the condition for slope |
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| 153 | !! convection is satified) |
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| 154 | !! |
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| 155 | !! |
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| 156 | !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. |
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| 157 | !! Campin, J.-M., and H. Goosse, 1999, Tellus, 412-430. |
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| 158 | !!---------------------------------------------------------------------- |
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| 159 | !!* Arguments |
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| 160 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 161 | REAL(wp) , INTENT(in ), DIMENSION(jpi,jpj,jpk,kjpt) :: ptrab ! before and now tracer fields |
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| 162 | REAL(wp) , INTENT(inout), DIMENSION(jpi,jpj,jpk,kjpt) :: ptraa ! tracer trend |
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| 163 | ! |
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| 164 | INTEGER :: ji, jj, jn ! dummy loop indices |
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| 165 | INTEGER :: ik ! temporary integers |
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| 166 | REAL(wp) :: zbtr, ztra ! temporary |
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| 167 | REAL(wp), DIMENSION(jpi,jpj) :: ztrb, zkx, zky ! 2D workspace |
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| 168 | !!---------------------------------------------------------------------- |
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| 169 | ! =========== |
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| 170 | DO jn = 1, kjpt ! tracer loop |
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| 171 | ! ! =========== |
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| 172 | #if defined key_vectopt_loop |
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| 173 | DO jj = 1, 1 ! vector opt. (forced unrolling) |
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| 174 | DO ji = 1, jpij |
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| 175 | #else |
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| 176 | DO jj = 1, jpj |
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| 177 | DO ji = 1, jpi |
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| 178 | #endif |
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| 179 | ik = mbkt(ji,jj) ! bottom T-level index |
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| 180 | ztrb(ji,jj) = ptrab(ji,jj,ik,jn) ! bottom before T and S |
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| 181 | END DO |
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| 182 | END DO |
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| 183 | ! |
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| 184 | # if defined key_vectopt_loop |
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| 185 | DO jj = 1, 1 ! vector opt. (forced unrolling) |
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| 186 | DO ji = 1, jpij-jpi |
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| 187 | # else |
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| 188 | DO jj = 1, jpjm1 |
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| 189 | DO ji = 1, jpim1 |
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| 190 | # endif |
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| 191 | zkx(ji,jj) = ahu_bbl(ji,jj) * ( ztrb(ji+1,jj ) - ztrb(ji,jj) ) ! diffusive i-flux |
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| 192 | zky(ji,jj) = ahv_bbl(ji,jj) * ( ztrb(ji ,jj+1) - ztrb(ji,jj) ) ! diffusive j-flux |
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| 193 | END DO |
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| 194 | END DO |
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| 195 | ! ! Add the diffusive trends |
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| 196 | # if defined key_vectopt_loop |
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| 197 | DO jj = 1, 1 ! vector opt. (forced unrolling) |
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| 198 | DO ji = jpi+1, jpij-jpi-1 |
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| 199 | # else |
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| 200 | DO jj = 2, jpjm1 |
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| 201 | DO ji = 2, jpim1 |
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| 202 | # endif |
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| 203 | ik = mbkt(ji,jj) |
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| 204 | zbtr = e1e2t_r(ji,jj) / fse3t(ji,jj,ik) |
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| 205 | ztra = ( zkx(ji,jj) - zkx(ji-1,jj) + zky(ji,jj) - zky(ji,jj-1) ) * zbtr |
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| 206 | ptraa(ji,jj,ik,jn) = ptraa(ji,jj,ik,jn) + ztra |
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| 207 | END DO |
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| 208 | END DO |
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| 209 | ! |
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| 210 | END DO |
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| 211 | ! |
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| 212 | END SUBROUTINE tra_bbl_dif |
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| 213 | |
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| 214 | SUBROUTINE tra_bbl_adv( ptrab, ptraa, kjpt ) |
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| 215 | !!---------------------------------------------------------------------- |
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| 216 | !! *** ROUTINE trc_bbl *** |
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| 217 | !! |
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| 218 | !! ** Purpose : Compute the before passive tracer trend associated |
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| 219 | !! with the bottom boundary layer and add it to the general trend |
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| 220 | !! of tracer equations. |
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| 221 | !! * advective bbl (nn_bbl_adv=1 or 2) : |
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| 222 | !! nn_bbl_adv = 1 use of the ocean velocity as bbl velocity |
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| 223 | !! nn_bbl_adv = 2 follow Campin and Goosse (1999) implentation |
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| 224 | !! i.e. transport proportional to the along-slope density gradient |
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| 225 | !! |
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| 226 | !! NB: the along slope density gradient is evaluated using the |
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| 227 | !! local density (i.e. referenced at a common local depth). |
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| 228 | !! |
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| 229 | !! |
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| 230 | !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. |
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| 231 | !! Campin, J.-M., and H. Goosse, 1999, Tellus, 412-430. |
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| 232 | !! |
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| 233 | !!---------------------------------------------------------------------- |
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| 234 | !!* Arguments |
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| 235 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 236 | REAL(wp) , INTENT(in ), DIMENSION(jpi,jpj,jpk,kjpt) :: ptrab ! before and now tracer fields |
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| 237 | REAL(wp) , INTENT(inout), DIMENSION(jpi,jpj,jpk,kjpt) :: ptraa ! tracer trend |
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| 238 | ! |
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| 239 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 240 | INTEGER :: ik ! temporary integers |
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| 241 | INTEGER :: iis , iid , ijs , ijd ! - - |
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| 242 | INTEGER :: ikus, ikud, ikvs, ikvd ! - - |
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| 243 | REAL(wp) :: zbtr, ztra ! - - |
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| 244 | REAL(wp) :: zu_bbl, zv_bbl ! - - |
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| 245 | !!---------------------------------------------------------------------- |
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| 246 | |
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| 247 | ! ! =========== |
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| 248 | DO jn = 1, kjpt ! tracer loop |
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| 249 | ! ! =========== |
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| 250 | # if defined key_vectopt_loop |
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| 251 | DO jj = 1, 1 |
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| 252 | DO ji = jpi+1, jpij-jpi-1 ! vector opt. (forced unrolling) |
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| 253 | # else |
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| 254 | DO jj = 2, jpjm1 |
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| 255 | DO ji = 1, jpim1 ! CAUTION start from i=1 to update i=2 when cyclic east-west |
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| 256 | # endif |
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| 257 | IF( utr_bbl(ji,jj) /= 0.e0 ) THEN ! non-zero i-direction bbl advection |
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| 258 | ! down-slope i/k-indices (deep) & up-slope i/k indices (shelf) |
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| 259 | iid = ji + MAX( 0, mgrhu(ji,jj) ) ; iis = ji + 1 - MAX( 0, mgrhu(ji,jj) ) |
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| 260 | ikud = mbku_d(ji,jj) ; ikus = mbku(ji,jj) |
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| 261 | zu_bbl = ABS( utr_bbl(ji,jj) ) |
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| 262 | ! |
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| 263 | ! ! up -slope T-point (shelf bottom point) |
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| 264 | zbtr = e1e2t_r(iis,jj) / fse3t(iis,jj,ikus) |
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| 265 | ztra = zu_bbl * ( ptrab(iid,jj,ikus,jn) - ptrab(iis,jj,ikus,jn) ) * zbtr |
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| 266 | ptraa(iis,jj,ikus,jn) = ptraa(iis,jj,ikus,jn) + ztra |
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| 267 | ! |
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| 268 | DO jk = ikus, ikud-1 ! down-slope upper to down T-point (deep column) |
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| 269 | zbtr = e1e2t_r(iid,jj) / fse3t(iid,jj,jk) |
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| 270 | ztra = zu_bbl * ( ptrab(iid,jj,jk+1,jn) - ptrab(iid,jj,jk,jn) ) * zbtr |
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| 271 | ptraa(iid,jj,jk,jn) = ptraa(iid,jj,jk,jn) + ztra |
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| 272 | END DO |
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| 273 | ! |
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| 274 | zbtr = e1e2t_r(iid,jj) / fse3t(iid,jj,ikud) |
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| 275 | ztra = zu_bbl * ( ptrab(iis,jj,ikus,jn) - ptrab(iid,jj,ikud,jn) ) * zbtr |
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| 276 | ptraa(iid,jj,ikud,jn) = ptraa(iid,jj,ikud,jn) + ztra |
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| 277 | ENDIF |
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| 278 | IF( vtr_bbl(ji,jj) /= 0.e0 ) THEN ! non-zero j-direction bbl advection |
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| 279 | ! down-slope j/k-indices (deep) & up-slope j/k indices (shelf) |
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| 280 | ijd = jj + MAX( 0, mgrhv(ji,jj) ) ; ijs = jj + 1 - MAX( 0, mgrhv(ji,jj) ) |
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| 281 | ikvd = mbkv_d(ji,jj) ; ikvs = mbkv(ji,jj) |
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| 282 | zv_bbl = ABS( vtr_bbl(ji,jj) ) |
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| 283 | ! |
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| 284 | ! up -slope T-point (shelf bottom point) |
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| 285 | zbtr = e1e2t_r(ji,ijs) / fse3t(ji,ijs,ikvs) |
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| 286 | ztra = zv_bbl * ( ptrab(ji,ijd,ikvs,jn) - ptrab(ji,ijs,ikvs,jn) ) * zbtr |
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| 287 | ptraa(ji,ijs,ikvs,jn) = ptraa(ji,ijs,ikvs,jn) + ztra |
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| 288 | ! |
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| 289 | DO jk = ikvs, ikvd-1 ! down-slope upper to down T-point (deep column) |
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| 290 | zbtr = e1e2t_r(ji,ijd) / fse3t(ji,ijd,jk) |
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| 291 | ztra = zv_bbl * ( ptrab(ji,ijd,jk+1,jn) - ptrab(ji,ijd,jk,jn) ) * zbtr |
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| 292 | ptraa(ji,ijd,jk,jn) = ptraa(ji,ijd,jk,jn) + ztra |
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| 293 | END DO |
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| 294 | ! ! down-slope T-point (deep bottom point) |
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| 295 | zbtr = e1e2t_r(ji,ijd) / fse3t(ji,ijd,ikvd) |
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| 296 | ztra = zv_bbl * ( ptrab(ji,ijs,ikvs,jn) - ptrab(ji,ijd,ikvd,jn) ) * zbtr |
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| 297 | ptraa(ji,ijd,ikvd,jn) = ptraa(ji,ijd,ikvd,jn) + ztra |
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| 298 | ENDIF |
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| 299 | END DO |
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| 300 | ! |
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| 301 | END DO |
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| 302 | ! |
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| 303 | END DO |
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| 304 | ! |
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| 305 | END SUBROUTINE tra_bbl_adv |
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| 306 | |
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| 307 | SUBROUTINE bbl( kt, cdtype ) |
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| 308 | !!---------------------------------------------------------------------- |
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| 309 | !! *** ROUTINE bbl *** |
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| 310 | !! |
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| 311 | !! ** Purpose : Computes the bottom boundary horizontal and vertical |
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| 312 | !! advection terms. |
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| 313 | !! |
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| 314 | !! ** Method : |
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| 315 | !! * diffusive bbl (nn_bbl_ldf=1) : |
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| 316 | !! When the product grad( rho) * grad(h) < 0 (where grad is an |
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| 317 | !! along bottom slope gradient) an additional lateral 2nd order |
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| 318 | !! diffusion along the bottom slope is added to the general |
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| 319 | !! tracer trend, otherwise the additional trend is set to 0. |
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| 320 | !! A typical value of ahbt is 2000 m2/s (equivalent to |
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| 321 | !! a downslope velocity of 20 cm/s if the condition for slope |
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| 322 | !! convection is satified) |
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| 323 | !! * advective bbl (nn_bbl_adv=1 or 2) : |
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| 324 | !! nn_bbl_adv = 1 use of the ocean velocity as bbl velocity |
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| 325 | !! nn_bbl_adv = 2 follow Campin and Goosse (1999) implentation |
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| 326 | !! i.e. transport proportional to the along-slope density gradient |
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| 327 | !! |
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| 328 | !! NB: the along slope density gradient is evaluated using the |
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| 329 | !! local density (i.e. referenced at a common local depth). |
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| 330 | !! |
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| 331 | !! |
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| 332 | !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. |
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| 333 | !! Campin, J.-M., and H. Goosse, 1999, Tellus, 412-430. |
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| 334 | !!---------------------------------------------------------------------- |
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| 335 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 336 | CHARACTER(len=3), INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 337 | INTEGER :: ji, jj ! dummy loop indices |
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| 338 | INTEGER :: ik ! temporary integers |
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| 339 | INTEGER :: iis , iid , ijs , ijd ! - - |
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| 340 | INTEGER :: ikus, ikud, ikvs, ikvd ! - - |
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| 341 | REAL(wp) :: zsign, zsigna, zgbbl ! temporary scalars |
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| 342 | REAL(wp) :: zgdrho, zt, zs, zh ! - - |
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| 343 | REAL(wp), DIMENSION(jpi,jpj) :: zub, zvb, ztb, zsb, zdep ! - - |
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| 344 | !! |
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| 345 | REAL(wp) :: fsalbt, fsbeta, pft, pfs, pfh ! statement function |
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| 346 | !!----------------------- zv_bbl----------------------------------------------- |
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| 347 | ! ratio alpha/beta = fsalbt : ratio of thermal over saline expension coefficients |
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| 348 | ! ================ pft : potential temperature in degrees celcius |
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| 349 | ! pfs : salinity anomaly (s-35) in psu |
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| 350 | ! pfh : depth in meters |
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| 351 | ! nn_eos = 0 (Jackett and McDougall 1994 formulation) |
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| 352 | fsalbt( pft, pfs, pfh ) = & ! alpha/beta |
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| 353 | ( ( ( -0.255019e-07 * pft + 0.298357e-05 ) * pft & |
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| 354 | - 0.203814e-03 ) * pft & |
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| 355 | + 0.170907e-01 ) * pft & |
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| 356 | + 0.665157e-01 & |
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| 357 | +(-0.678662e-05 * pfs - 0.846960e-04 * pft + 0.378110e-02 ) * pfs & |
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| 358 | + ( ( - 0.302285e-13 * pfh & |
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| 359 | - 0.251520e-11 * pfs & |
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| 360 | + 0.512857e-12 * pft * pft ) * pfh & |
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| 361 | - 0.164759e-06 * pfs & |
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| 362 | +( 0.791325e-08 * pft - 0.933746e-06 ) * pft & |
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| 363 | + 0.380374e-04 ) * pfh |
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| 364 | fsbeta( pft, pfs, pfh ) = & ! beta |
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| 365 | ( ( -0.415613e-09 * pft + 0.555579e-07 ) * pft & |
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| 366 | - 0.301985e-05 ) * pft & |
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| 367 | + 0.785567e-03 & |
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| 368 | + ( 0.515032e-08 * pfs & |
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| 369 | + 0.788212e-08 * pft - 0.356603e-06 ) * pfs & |
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| 370 | +( ( 0.121551e-17 * pfh & |
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| 371 | - 0.602281e-15 * pfs & |
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| 372 | - 0.175379e-14 * pft + 0.176621e-12 ) * pfh & |
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| 373 | + 0.408195e-10 * pfs & |
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| 374 | + ( - 0.213127e-11 * pft + 0.192867e-09 ) * pft & |
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| 375 | - 0.121555e-07 ) * pfh |
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| 376 | !!---------------------------------------------------------------------- |
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| 377 | |
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| 378 | ! !* bottom temperature, salinity, velocity and depth |
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| 379 | IF( kt == nit000 ) THEN |
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| 380 | IF(lwp) WRITE(numout,*) ' ' |
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| 381 | IF(lwp) WRITE(numout,*) ' trabbl:bbl : Compute bbl velocities and diffusive coefficients in ', cdtype, ' at time step ', kt |
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| 382 | IF(lwp) WRITE(numout,*) ' ' |
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| 383 | ENDIF |
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| 384 | |
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| 385 | #if defined key_vectopt_loop |
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| 386 | DO jj = 1, 1 ! vector opt. (forced unrolling) |
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| 387 | DO ji = 1, jpij |
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| 388 | #else |
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| 389 | DO jj = 1, jpj |
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| 390 | DO ji = 1, jpi |
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| 391 | #endif |
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| 392 | ik = mbkt(ji,jj) ! bottom T-level index |
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| 393 | ztb (ji,jj) = tb(ji,jj,ik) ! bottom before T and S |
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| 394 | zsb (ji,jj) = sb(ji,jj,ik) |
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| 395 | zdep(ji,jj) = fsdept_0(ji,jj,ik) ! bottom T-level reference depth |
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| 396 | ! |
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| 397 | zub(ji,jj) = un(ji,jj,mbku(ji,jj)) ! bottom velocity |
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| 398 | zvb(ji,jj) = vn(ji,jj,mbkv(ji,jj)) |
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| 399 | END DO |
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| 400 | END DO |
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| 401 | |
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| 402 | ! !-------------------! |
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| 403 | IF( nn_bbl_ldf == 1 ) THEN ! diffusive bbl ! |
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| 404 | ! !-------------------! |
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| 405 | ! ! bbl diffusive fluxes |
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| 406 | ! ! (criteria for non zero flux: grad(rho).grad(h) < 0 ) |
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| 407 | # if defined key_vectopt_loop |
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| 408 | DO jj = 1, 1 ! vector opt. (forced unrolling) |
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| 409 | DO ji = 1, jpij-jpi |
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| 410 | # else |
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| 411 | DO jj = 1, jpjm1 |
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| 412 | DO ji = 1, jpim1 |
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| 413 | # endif |
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| 414 | ! ! i-direction |
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| 415 | zt = 0.5 * ( ztb (ji,jj) + ztb (ji+1,jj) ) ! T, S anomalie, and depth |
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| 416 | zs = 0.5 * ( zsb (ji,jj) + zsb (ji+1,jj) ) - 35.0 |
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| 417 | zh = 0.5 * ( zdep(ji,jj) + zdep(ji+1,jj) ) |
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| 418 | ! ! masked bbl i-gradient of density |
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| 419 | zgdrho = ( fsalbt( zt, zs, zh ) * ( ztb(ji+1,jj) - ztb(ji,jj) ) & |
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| 420 | & - ( zsb(ji+1,jj) - zsb(ji,jj) ) ) * umask(ji,jj,1) |
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| 421 | ! |
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| 422 | zsign = SIGN( 0.5, - zgdrho * REAL( mgrhu(ji,jj) ) ) ! sign of ( i-gradient * i-slope ) |
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| 423 | ahu_bbl(ji,jj) = ( 0.5 - zsign ) * ahu_bbl_0(ji,jj) ! masked diffusive flux coeff. |
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| 424 | ! |
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| 425 | ! ! j-direction |
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| 426 | zt = 0.5 * ( ztb (ji,jj+1) + ztb (ji,jj) ) ! T, S anomalie, and depth |
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| 427 | zs = 0.5 * ( zsb (ji,jj+1) + zsb (ji,jj) ) - 35.0 |
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| 428 | zh = 0.5 * ( zdep(ji,jj+1) + zdep(ji,jj) ) |
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| 429 | ! ! masked bbl j-gradient of density |
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| 430 | zgdrho = ( fsalbt( zt, zs, zh ) * ( ztb(ji,jj+1) - ztb(ji,jj) ) & |
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| 431 | & - ( zsb(ji,jj+1) - zsb(ji,jj) ) ) * vmask(ji,jj,1) |
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| 432 | ! |
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| 433 | zsign = SIGN( 0.5, -zgdrho * REAL( mgrhv(ji,jj) ) ) ! sign of ( j-gradient * j-slope ) |
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| 434 | ahv_bbl(ji,jj) = ( 0.5 - zsign ) * ahv_bbl_0(ji,jj) |
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| 435 | ! |
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| 436 | END DO |
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| 437 | END DO |
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| 438 | ! |
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| 439 | ENDIF |
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| 440 | |
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| 441 | |
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| 442 | ! !-------------------! |
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| 443 | IF( nn_bbl_adv /= 0 ) THEN ! advective bbl ! |
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| 444 | ! !-------------------! |
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| 445 | SELECT CASE ( nn_bbl_adv ) !* bbl transport type |
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| 446 | ! |
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| 447 | CASE( 1 ) != use of upper velocity |
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| 448 | DO jj = 2, jpjm1 ! criteria: grad(rho).grad(h)<0 and grad(rho).grad(h)<0 |
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| 449 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 450 | ! ! i-direction |
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| 451 | zt = 0.5 * ( ztb (ji,jj) + ztb (ji+1,jj) ) ! T, S anomalie, and depth |
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| 452 | zs = 0.5 * ( zsb (ji,jj) + zsb (ji+1,jj) ) - 35.0 |
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| 453 | zh = 0.5 * ( zdep(ji,jj) + zdep(ji+1,jj) ) |
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| 454 | ! ! masked bbl i-gradient of density |
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| 455 | zgdrho = ( fsalbt( zt, zs, zh ) * ( ztb(ji+1,jj) - ztb(ji,jj) ) & |
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| 456 | & - ( zsb(ji+1,jj) - zsb(ji,jj) ) ) * umask(ji,jj,1) |
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| 457 | ! |
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| 458 | zsign = SIGN( 0.5, - zgdrho * REAL( mgrhu(ji,jj) ) ) ! sign of i-gradient * i-slope |
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| 459 | zsigna= SIGN( 0.5, zub(ji,jj) * REAL( mgrhu(ji,jj) ) ) ! sign of u * i-slope |
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| 460 | ! |
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| 461 | ! ! bbl velocity |
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| 462 | utr_bbl(ji,jj) = ( 0.5 + zsigna ) * ( 0.5 - zsign ) * e2u(ji,jj) * e3u_bbl_0(ji,jj) * zub(ji,jj) |
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| 463 | ! |
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| 464 | ! ! j-direction |
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| 465 | zt = 0.5 * ( ztb (ji,jj+1) + ztb (ji,jj) ) ! T, S anomalie, and depth |
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| 466 | zs = 0.5 * ( zsb (ji,jj+1) + zsb (ji,jj) ) - 35.0 |
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| 467 | zh = 0.5 * ( zdep(ji,jj+1) + zdep(ji,jj) ) |
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| 468 | ! ! masked bbl j-gradient of density |
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| 469 | zgdrho = ( fsalbt( zt, zs, zh ) * ( ztb(ji,jj+1) - ztb(ji,jj) ) & |
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| 470 | & - ( zsb(ji,jj+1) - zsb(ji,jj) ) ) * vmask(ji,jj,1) |
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| 471 | zsign = SIGN( 0.5, - zgdrho * REAL( mgrhv(ji,jj) ) ) ! sign of j-gradient * j-slope |
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| 472 | zsigna= SIGN( 0.5, zvb(ji,jj) * REAL( mgrhv(ji,jj) ) ) ! sign of u * i-slope |
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| 473 | ! |
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| 474 | ! ! bbl velocity |
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| 475 | vtr_bbl(ji,jj) = ( 0.5 + zsigna ) * ( 0.5 - zsign ) * e1v(ji,jj) * e3v_bbl_0(ji,jj) * zvb(ji,jj) |
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| 476 | END DO |
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| 477 | END DO |
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| 478 | ! |
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| 479 | CASE( 2 ) != bbl velocity = F( delta rho ) |
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| 480 | zgbbl = grav * rn_gambbl |
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| 481 | DO jj = 2, jpjm1 ! criteria: rho_up > rho_down |
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| 482 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 483 | ! ! i-direction |
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| 484 | ! down-slope T-point i/k-index (deep) & up-slope T-point i/k-index (shelf) |
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| 485 | iid = ji + MAX( 0, mgrhu(ji,jj) ) ; iis = ji + 1 - MAX( 0, mgrhu(ji,jj) ) |
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| 486 | ikud = mbku_d(ji,jj) ; ikus = mbku(ji,jj) |
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| 487 | ! |
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| 488 | ! ! mid-depth density anomalie (up-slope minus down-slope) |
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| 489 | zt = 0.5 * ( ztb (ji,jj) + ztb (ji+1,jj) ) ! mid slope depth of T, S, and depth |
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| 490 | zs = 0.5 * ( zsb (ji,jj) + zsb (ji+1,jj) ) - 35.0 |
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| 491 | zh = 0.5 * ( zdep(ji,jj) + zdep(ji+1,jj) ) |
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| 492 | zgdrho = fsbeta( zt, zs, zh ) & |
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| 493 | & * ( fsalbt( zt, zs, zh ) * ( ztb(iid,jj) - ztb(iis,jj) ) & |
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| 494 | & - ( zsb(iid,jj) - zsb(iis,jj) ) ) * umask(ji,jj,1) |
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| 495 | zgdrho = MAX( 0.e0, zgdrho ) ! only if shelf is denser than deep |
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| 496 | ! |
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| 497 | ! ! bbl transport (down-slope direction) |
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| 498 | utr_bbl(ji,jj) = e2u(ji,jj) * e3u_bbl_0(ji,jj) * zgbbl * zgdrho * REAL( mgrhu(ji,jj) ) |
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| 499 | ! |
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| 500 | ! ! j-direction |
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| 501 | ! down-slope T-point j/k-index (deep) & of the up -slope T-point j/k-index (shelf) |
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| 502 | ijd = jj + MAX( 0, mgrhv(ji,jj) ) ; ijs = jj + 1 - MAX( 0, mgrhv(ji,jj) ) |
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| 503 | ikvd = mbkv_d(ji,jj) ; ikvs = mbkv(ji,jj) |
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| 504 | ! |
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| 505 | ! ! mid-depth density anomalie (up-slope minus down-slope) |
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| 506 | zt = 0.5 * ( ztb (ji,jj) + ztb (ji,jj+1) ) ! mid slope depth of T, S, and depth |
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| 507 | zs = 0.5 * ( zsb (ji,jj) + zsb (ji,jj+1) ) - 35.0 |
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| 508 | zh = 0.5 * ( zdep(ji,jj) + zdep(ji,jj+1) ) |
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| 509 | zgdrho = fsbeta( zt, zs, zh ) & |
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| 510 | & * ( fsalbt( zt, zs, zh ) * ( ztb(ji,ijd) - ztb(ji,ijs) ) & |
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| 511 | & - ( zsb(ji,ijd) - zsb(ji,ijs) ) ) * vmask(ji,jj,1) |
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| 512 | zgdrho = MAX( 0.e0, zgdrho ) ! only if shelf is denser than deep |
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| 513 | ! |
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| 514 | ! ! bbl transport (down-slope direction) |
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| 515 | vtr_bbl(ji,jj) = e1v(ji,jj) * e3v_bbl_0(ji,jj) * zgbbl * zgdrho * REAL( mgrhv(ji,jj) ) |
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| 516 | END DO |
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| 517 | END DO |
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| 518 | END SELECT |
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| 519 | ! |
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| 520 | ENDIF |
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| 521 | ! |
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| 522 | END SUBROUTINE bbl |
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| 523 | |
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| 524 | |
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| 525 | SUBROUTINE tra_bbl_init |
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| 526 | !!---------------------------------------------------------------------- |
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| 527 | !! *** ROUTINE tra_bbl_init *** |
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| 528 | !! |
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| 529 | !! ** Purpose : Initialization for the bottom boundary layer scheme. |
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| 530 | !! |
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| 531 | !! ** Method : Read the nambbl namelist and check the parameters |
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| 532 | !! called by tra_bbl at the first timestep (nit000) |
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| 533 | !!---------------------------------------------------------------------- |
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| 534 | INTEGER :: ji, jj ! dummy loop indices |
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| 535 | INTEGER :: ii0, ii1, ij0, ij1 ! temporary integer |
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| 536 | REAL(wp), DIMENSION(jpi,jpj) :: zmbk ! 2D workspace |
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| 537 | |
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| 538 | NAMELIST/nambbl/ nn_bbl_ldf, nn_bbl_adv, rn_ahtbbl, rn_gambbl |
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| 539 | !!---------------------------------------------------------------------- |
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| 540 | |
|---|
| 541 | REWIND ( numnam ) !* Read Namelist nambbl : bottom boundary layer scheme |
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| 542 | READ ( numnam, nambbl ) |
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| 543 | |
|---|
| 544 | IF(lwp) THEN !* Parameter control and print |
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| 545 | WRITE(numout,*) |
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| 546 | WRITE(numout,*) 'tra_bbl_init : bottom boundary layer initialisation' |
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| 547 | WRITE(numout,*) '~~~~~~~~~~~~' |
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| 548 | WRITE(numout,*) ' Namelist nambbl : set bbl parameters' |
|---|
| 549 | WRITE(numout,*) ' diffusive bbl (=1) or not (=0) nn_bbl_ldf = ', nn_bbl_ldf |
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| 550 | WRITE(numout,*) ' advective bbl (=1/2) or not (=0) nn_bbl_adv = ', nn_bbl_adv |
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| 551 | WRITE(numout,*) ' diffusive bbl coefficient rn_ahtbbl = ', rn_ahtbbl, ' m2/s' |
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| 552 | WRITE(numout,*) ' advective bbl coefficient rn_gambbl = ', rn_gambbl, ' s' |
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| 553 | ENDIF |
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| 554 | |
|---|
| 555 | IF( nn_bbl_adv == 1 ) WRITE(numout,*) ' * Advective BBL using upper velocity' |
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| 556 | IF( nn_bbl_adv == 2 ) WRITE(numout,*) ' * Advective BBL using velocity = F( delta rho)' |
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| 557 | |
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| 558 | IF( nn_eos /= 0 ) CALL ctl_stop ( ' bbl parameterisation requires eos = 0. We stop.' ) |
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| 559 | |
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| 560 | |
|---|
| 561 | ! !* inverse of surface of T-cells |
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| 562 | e1e2t_r(:,:) = 1.0 / ( e1t(:,:) * e2t(:,:) ) |
|---|
| 563 | |
|---|
| 564 | ! !* vertical index of bottom t-, u- and v-points |
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| 565 | DO jj = 1, jpj ! bottom k-index of T-level |
|---|
| 566 | DO ji = 1, jpi |
|---|
| 567 | mbkt(ji,jj) = MAX( mbathy(ji,jj) - 1, 1 ) |
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| 568 | END DO |
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| 569 | END DO |
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| 570 | DO jj = 1, jpjm1 ! bottom k-index of u- (v-) level (shelf and deep) |
|---|
| 571 | DO ji = 1, jpim1 |
|---|
| 572 | mbku (ji,jj) = MAX( MIN( mbathy(ji+1,jj ), mbathy(ji,jj) ) - 1, 1 ) ! "shelf" |
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| 573 | mbkv (ji,jj) = MAX( MIN( mbathy(ji ,jj+1), mbathy(ji,jj) ) - 1, 1 ) |
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| 574 | mbku_d(ji,jj) = MAX( MAX( mbathy(ji+1,jj ), mbathy(ji,jj) ) - 1, 1 ) ! "deep" |
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| 575 | mbkv_d(ji,jj) = MAX( MAX( mbathy(ji ,jj+1), mbathy(ji,jj) ) - 1, 1 ) |
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| 576 | END DO |
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| 577 | END DO |
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| 578 | zmbk(:,:) = FLOAT( mbku (:,:) ) ; CALL lbc_lnk(zmbk,'U',1.) ; mbku (:,:) = MAX( INT( zmbk(:,:) ), 1 ) |
|---|
| 579 | zmbk(:,:) = FLOAT( mbkv (:,:) ) ; CALL lbc_lnk(zmbk,'V',1.) ; mbkv (:,:) = MAX( INT( zmbk(:,:) ), 1 ) |
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| 580 | zmbk(:,:) = FLOAT( mbku_d(:,:) ) ; CALL lbc_lnk(zmbk,'U',1.) ; mbku_d(:,:) = MAX( INT( zmbk(:,:) ), 1 ) |
|---|
| 581 | zmbk(:,:) = FLOAT( mbkv_d(:,:) ) ; CALL lbc_lnk(zmbk,'V',1.) ; mbkv_d(:,:) = MAX( INT( zmbk(:,:) ), 1 ) |
|---|
| 582 | |
|---|
| 583 | DO jj = 1, jpj !* sign of grad(H) at u- and v-points |
|---|
| 584 | DO ji = 1, jpi |
|---|
| 585 | mgrhu(ji,jj) = INT( SIGN( 1.e0, fsdept_0(ji+1,jj,mbkt(ji+1,jj)) - fsdept_0(ji,jj,mbkt(ji,jj)) ) ) |
|---|
| 586 | mgrhv(ji,jj) = INT( SIGN( 1.e0, fsdept_0(ji,jj+1,mbkt(ji,jj+1)) - fsdept_0(ji,jj,mbkt(ji,jj)) ) ) |
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| 587 | END DO |
|---|
| 588 | END DO |
|---|
| 589 | |
|---|
| 590 | DO jj = 1, jpjm1 !* bbl thickness at u- (v-) point |
|---|
| 591 | DO ji = 1, jpim1 ! minimum of top & bottom e3u_0 (e3v_0) |
|---|
| 592 | e3u_bbl_0(ji,jj) = MIN( fse3u_0(ji,jj,mbkt(ji+1,jj )), fse3u_0(ji,jj,mbkt(ji,jj)) ) |
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| 593 | e3v_bbl_0(ji,jj) = MIN( fse3v_0(ji,jj,mbkt(ji ,jj+1)), fse3v_0(ji,jj,mbkt(ji,jj)) ) |
|---|
| 594 | END DO |
|---|
| 595 | END DO |
|---|
| 596 | CALL lbc_lnk( e3u_bbl_0, 'U', 1. ) ; CALL lbc_lnk( e3v_bbl_0, 'V', 1. ) ! lateral boundary conditions |
|---|
| 597 | |
|---|
| 598 | ! !* masked diffusive flux coefficients |
|---|
| 599 | ahu_bbl_0(:,:) = rn_ahtbbl * e2u(:,:) * e3u_bbl_0(:,:) / e1u(:,:) * umask(:,:,1) |
|---|
| 600 | ahv_bbl_0(:,:) = rn_ahtbbl * e1v(:,:) * e3v_bbl_0(:,:) / e2v(:,:) * vmask(:,:,1) |
|---|
| 601 | |
|---|
| 602 | IF( cp_cfg == "orca" ) THEN !* ORCA configuration : regional enhancement of ah_bbl |
|---|
| 603 | ! |
|---|
| 604 | SELECT CASE ( jp_cfg ) |
|---|
| 605 | CASE ( 2 ) ! ORCA_R2 |
|---|
| 606 | ij0 = 102 ; ij1 = 102 ! Gibraltar enhancement of BBL |
|---|
| 607 | ii0 = 139 ; ii1 = 140 |
|---|
| 608 | ahu_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) = 4.e0*ahu_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) |
|---|
| 609 | ahv_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) = 4.e0*ahv_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) |
|---|
| 610 | ! |
|---|
| 611 | ij0 = 88 ; ij1 = 88 ! Red Sea enhancement of BBL |
|---|
| 612 | ii0 = 161 ; ii1 = 162 |
|---|
| 613 | ahu_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) = 10.e0*ahu_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) |
|---|
| 614 | ahv_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) = 10.e0*ahv_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) |
|---|
| 615 | ! |
|---|
| 616 | CASE ( 4 ) ! ORCA_R4 |
|---|
| 617 | ij0 = 52 ; ij1 = 52 ! Gibraltar enhancement of BBL |
|---|
| 618 | ii0 = 70 ; ii1 = 71 |
|---|
| 619 | ahu_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) = 4.e0*ahu_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) |
|---|
| 620 | ahv_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) = 4.e0*ahv_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) |
|---|
| 621 | END SELECT |
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| 622 | ! |
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| 623 | ENDIF |
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| 624 | ! |
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| 625 | l_bbl = .TRUE. !: flag to compute bbl coef and transport |
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| 626 | ! |
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| 627 | END SUBROUTINE tra_bbl_init |
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| 628 | |
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| 629 | #else |
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| 630 | !!---------------------------------------------------------------------- |
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| 631 | !! Dummy module : No bottom boundary layer scheme |
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| 632 | !!---------------------------------------------------------------------- |
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| 633 | LOGICAL, PUBLIC, PARAMETER :: lk_trabbl = .FALSE. !: bbl flag |
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| 634 | CONTAINS |
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| 635 | SUBROUTINE tra_bbl( kt ) ! Empty routine |
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| 636 | WRITE(*,*) 'tra_bbl: You should not have seen this print! error?', kt |
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| 637 | END SUBROUTINE tra_bbl |
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| 638 | #endif |
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| 639 | |
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| 640 | !!====================================================================== |
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| 641 | END MODULE trabbl |
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