| [3] | 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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| [2528] | 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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| [3764] | 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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| [2528] | 12 | !! - ! 2010-06 (C. Ethe, G. Madec) merge TRA-TRC |
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| 13 | !! - ! 2010-11 (G. Madec) add mbk. arrays associated to the deepest ocean level |
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| [4990] | 14 | !! - ! 2013-04 (F. Roquet, G. Madec) use of eosbn2 instead of local hard coded alpha and beta |
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| [7954] | 15 | !! 4.0 ! 2017-04 (G. Madec) ln_trabbl namelist variable instead of a CPP key |
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| [503] | 16 | !!---------------------------------------------------------------------- |
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| [7954] | 17 | |
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| [3] | 18 | !!---------------------------------------------------------------------- |
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| [2715] | 19 | !! tra_bbl_alloc : allocate trabbl arrays |
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| [2528] | 20 | !! tra_bbl : update the tracer trends due to the bottom boundary layer (advective and/or diffusive) |
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| 21 | !! tra_bbl_dif : generic routine to compute bbl diffusive trend |
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| 22 | !! tra_bbl_adv : generic routine to compute bbl advective trend |
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| 23 | !! bbl : computation of bbl diffu. flux coef. & transport in bottom boundary layer |
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| 24 | !! tra_bbl_init : initialization, namelist read, parameters control |
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| [503] | 25 | !!---------------------------------------------------------------------- |
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| [2528] | 26 | USE oce ! ocean dynamics and active tracers |
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| 27 | USE dom_oce ! ocean space and time domain |
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| 28 | USE phycst ! physical constant |
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| 29 | USE eosbn2 ! equation of state |
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| [5836] | 30 | USE trd_oce ! trends: ocean variables |
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| [2528] | 31 | USE trdtra ! trends: active tracers |
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| [4990] | 32 | ! |
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| 33 | USE iom ! IOM library |
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| [2528] | 34 | USE in_out_manager ! I/O manager |
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| 35 | USE lbclnk ! ocean lateral boundary conditions |
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| 36 | USE prtctl ! Print control |
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| [3294] | 37 | USE wrk_nemo ! Memory Allocation |
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| 38 | USE timing ! Timing |
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| [4990] | 39 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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| [3] | 40 | |
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| 41 | IMPLICIT NONE |
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| 42 | PRIVATE |
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| 43 | |
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| [2528] | 44 | PUBLIC tra_bbl ! routine called by step.F90 |
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| 45 | PUBLIC tra_bbl_init ! routine called by opa.F90 |
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| 46 | PUBLIC tra_bbl_dif ! routine called by trcbbl.F90 |
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| 47 | PUBLIC tra_bbl_adv ! - - - - |
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| 48 | PUBLIC bbl ! routine called by trcbbl.F90 and dtadyn.F90 |
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| [3] | 49 | |
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| [4147] | 50 | ! !!* Namelist nambbl * |
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| [7954] | 51 | LOGICAL , PUBLIC :: ln_trabbl !: bottom boundary layer flag |
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| [4147] | 52 | INTEGER , PUBLIC :: nn_bbl_ldf !: =1 : diffusive bbl or not (=0) |
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| 53 | INTEGER , PUBLIC :: nn_bbl_adv !: =1/2 : advective bbl or not (=0) |
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| [2528] | 54 | ! ! =1 : advective bbl using the bottom ocean velocity |
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| 55 | ! ! =2 : - - using utr_bbl proportional to grad(rho) |
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| [4147] | 56 | REAL(wp), PUBLIC :: rn_ahtbbl !: along slope bbl diffusive coefficient [m2/s] |
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| 57 | REAL(wp), PUBLIC :: rn_gambbl !: lateral coeff. for bottom boundary layer scheme [s] |
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| [409] | 58 | |
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| [4990] | 59 | LOGICAL , PUBLIC :: l_bbl !: flag to compute bbl diffu. flux coef and transport |
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| [3764] | 60 | |
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| [2715] | 61 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:), PUBLIC :: utr_bbl , vtr_bbl ! u- (v-) transport in the bottom boundary layer |
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| 62 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:), PUBLIC :: ahu_bbl , ahv_bbl ! masked diffusive bbl coeff. at u & v-pts |
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| [3] | 63 | |
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| [3764] | 64 | INTEGER , ALLOCATABLE, SAVE, DIMENSION(:,:), PUBLIC :: mbku_d , mbkv_d ! vertical index of the "lower" bottom ocean U/V-level (PUBLIC for TAM) |
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| 65 | INTEGER , ALLOCATABLE, SAVE, DIMENSION(:,:), PUBLIC :: mgrhu , mgrhv ! = +/-1, sign of grad(H) in u-(v-)direction (PUBLIC for TAM) |
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| 66 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ahu_bbl_0, ahv_bbl_0 ! diffusive bbl flux coefficients at u and v-points |
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| 67 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:), PUBLIC :: e3u_bbl_0, e3v_bbl_0 ! thichness of the bbl (e3) at u and v-points (PUBLIC for TAM) |
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| [3] | 68 | |
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| 69 | !! * Substitutions |
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| 70 | # include "vectopt_loop_substitute.h90" |
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| 71 | !!---------------------------------------------------------------------- |
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| [2528] | 72 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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| 73 | !! $Id$ |
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| 74 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| [3] | 75 | !!---------------------------------------------------------------------- |
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| 76 | CONTAINS |
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| 77 | |
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| [2715] | 78 | INTEGER FUNCTION tra_bbl_alloc() |
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| 79 | !!---------------------------------------------------------------------- |
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| 80 | !! *** FUNCTION tra_bbl_alloc *** |
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| 81 | !!---------------------------------------------------------------------- |
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| [7954] | 82 | ALLOCATE( utr_bbl (jpi,jpj) , ahu_bbl (jpi,jpj) , mbku_d(jpi,jpj) , mgrhu(jpi,jpj) , & |
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| 83 | & vtr_bbl (jpi,jpj) , ahv_bbl (jpi,jpj) , mbkv_d(jpi,jpj) , mgrhv(jpi,jpj) , & |
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| 84 | & ahu_bbl_0(jpi,jpj) , ahv_bbl_0(jpi,jpj) , & |
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| 85 | & e3u_bbl_0(jpi,jpj) , e3v_bbl_0(jpi,jpj) , STAT=tra_bbl_alloc ) |
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| [2715] | 86 | ! |
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| 87 | IF( lk_mpp ) CALL mpp_sum ( tra_bbl_alloc ) |
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| 88 | IF( tra_bbl_alloc > 0 ) CALL ctl_warn('tra_bbl_alloc: allocation of arrays failed.') |
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| 89 | END FUNCTION tra_bbl_alloc |
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| 90 | |
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| 91 | |
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| [2528] | 92 | SUBROUTINE tra_bbl( kt ) |
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| [3] | 93 | !!---------------------------------------------------------------------- |
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| [2528] | 94 | !! *** ROUTINE bbl *** |
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| [3764] | 95 | !! |
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| 96 | !! ** Purpose : Compute the before tracer (t & s) trend associated |
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| [2528] | 97 | !! with the bottom boundary layer and add it to the general |
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| 98 | !! trend of tracer equations. |
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| [3] | 99 | !! |
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| [2528] | 100 | !! ** Method : Depending on namtra_bbl namelist parameters the bbl |
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| 101 | !! diffusive and/or advective contribution to the tracer trend |
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| 102 | !! is added to the general tracer trend |
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| [3764] | 103 | !!---------------------------------------------------------------------- |
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| 104 | INTEGER, INTENT( in ) :: kt ! ocean time-step |
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| [4990] | 105 | ! |
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| [3294] | 106 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ztrdt, ztrds |
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| [2528] | 107 | !!---------------------------------------------------------------------- |
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| [3294] | 108 | ! |
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| 109 | IF( nn_timing == 1 ) CALL timing_start( 'tra_bbl') |
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| 110 | ! |
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| [7954] | 111 | IF( l_trdtra ) THEN !* Save the T-S input trends |
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| [3764] | 112 | CALL wrk_alloc( jpi, jpj, jpk, ztrdt, ztrds ) |
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| [7753] | 113 | ztrdt(:,:,:) = tsa(:,:,:,jp_tem) |
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| 114 | ztrds(:,:,:) = tsa(:,:,:,jp_sal) |
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| [2528] | 115 | ENDIF |
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| 116 | |
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| [4990] | 117 | IF( l_bbl ) CALL bbl( kt, nit000, 'TRA' ) !* bbl coef. and transport (only if not already done in trcbbl) |
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| [3764] | 118 | |
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| [4990] | 119 | IF( nn_bbl_ldf == 1 ) THEN !* Diffusive bbl |
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| [3294] | 120 | ! |
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| [2528] | 121 | CALL tra_bbl_dif( tsb, tsa, jpts ) |
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| 122 | IF( ln_ctl ) & |
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| 123 | CALL prt_ctl( tab3d_1=tsa(:,:,:,jp_tem), clinfo1=' bbl_ldf - Ta: ', mask1=tmask, & |
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| [4990] | 124 | & tab3d_2=tsa(:,:,:,jp_sal), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
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| [3764] | 125 | ! lateral boundary conditions ; just need for outputs |
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| [2528] | 126 | CALL lbc_lnk( ahu_bbl, 'U', 1. ) ; CALL lbc_lnk( ahv_bbl, 'V', 1. ) |
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| [3764] | 127 | CALL iom_put( "ahu_bbl", ahu_bbl ) ! bbl diffusive flux i-coef |
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| [2528] | 128 | CALL iom_put( "ahv_bbl", ahv_bbl ) ! bbl diffusive flux j-coef |
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| [3294] | 129 | ! |
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| [2528] | 130 | END IF |
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| [6140] | 131 | ! |
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| [4990] | 132 | IF( nn_bbl_adv /= 0 ) THEN !* Advective bbl |
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| [3294] | 133 | ! |
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| [2528] | 134 | CALL tra_bbl_adv( tsb, tsa, jpts ) |
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| 135 | IF(ln_ctl) & |
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| 136 | CALL prt_ctl( tab3d_1=tsa(:,:,:,jp_tem), clinfo1=' bbl_adv - Ta: ', mask1=tmask, & |
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| [4990] | 137 | & tab3d_2=tsa(:,:,:,jp_sal), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
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| [3764] | 138 | ! lateral boundary conditions ; just need for outputs |
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| [2528] | 139 | CALL lbc_lnk( utr_bbl, 'U', 1. ) ; CALL lbc_lnk( vtr_bbl, 'V', 1. ) |
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| [3764] | 140 | CALL iom_put( "uoce_bbl", utr_bbl ) ! bbl i-transport |
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| [2528] | 141 | CALL iom_put( "voce_bbl", vtr_bbl ) ! bbl j-transport |
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| [3294] | 142 | ! |
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| [2528] | 143 | END IF |
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| 144 | |
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| [6140] | 145 | IF( l_trdtra ) THEN ! send the trends for further diagnostics |
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| [7753] | 146 | ztrdt(:,:,:) = tsa(:,:,:,jp_tem) - ztrdt(:,:,:) |
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| 147 | ztrds(:,:,:) = tsa(:,:,:,jp_sal) - ztrds(:,:,:) |
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| [4990] | 148 | CALL trd_tra( kt, 'TRA', jp_tem, jptra_bbl, ztrdt ) |
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| 149 | CALL trd_tra( kt, 'TRA', jp_sal, jptra_bbl, ztrds ) |
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| [3764] | 150 | CALL wrk_dealloc( jpi, jpj, jpk, ztrdt, ztrds ) |
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| [2528] | 151 | ENDIF |
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| 152 | ! |
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| [3294] | 153 | IF( nn_timing == 1 ) CALL timing_stop( 'tra_bbl') |
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| 154 | ! |
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| [2528] | 155 | END SUBROUTINE tra_bbl |
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| 156 | |
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| 157 | |
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| 158 | SUBROUTINE tra_bbl_dif( ptb, pta, kjpt ) |
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| 159 | !!---------------------------------------------------------------------- |
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| 160 | !! *** ROUTINE tra_bbl_dif *** |
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| [3764] | 161 | !! |
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| [2528] | 162 | !! ** Purpose : Computes the bottom boundary horizontal and vertical |
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| [3764] | 163 | !! advection terms. |
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| [2528] | 164 | !! |
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| [4990] | 165 | !! ** Method : * diffusive bbl only (nn_bbl_ldf=1) : |
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| [2528] | 166 | !! When the product grad( rho) * grad(h) < 0 (where grad is an |
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| 167 | !! along bottom slope gradient) an additional lateral 2nd order |
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| 168 | !! diffusion along the bottom slope is added to the general |
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| 169 | !! tracer trend, otherwise the additional trend is set to 0. |
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| 170 | !! A typical value of ahbt is 2000 m2/s (equivalent to |
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| [3] | 171 | !! a downslope velocity of 20 cm/s if the condition for slope |
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| 172 | !! convection is satified) |
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| 173 | !! |
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| [2528] | 174 | !! ** Action : pta increased by the bbl diffusive trend |
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| [3] | 175 | !! |
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| [503] | 176 | !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. |
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| [2528] | 177 | !! Campin, J.-M., and H. Goosse, 1999, Tellus, 412-430. |
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| [3764] | 178 | !!---------------------------------------------------------------------- |
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| [2715] | 179 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 180 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields |
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| [3764] | 181 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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| [2715] | 182 | ! |
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| [2528] | 183 | INTEGER :: ji, jj, jn ! dummy loop indices |
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| 184 | INTEGER :: ik ! local integers |
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| 185 | REAL(wp) :: zbtr ! local scalars |
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| [3294] | 186 | REAL(wp), POINTER, DIMENSION(:,:) :: zptb |
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| [3] | 187 | !!---------------------------------------------------------------------- |
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| [2528] | 188 | ! |
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| [3294] | 189 | IF( nn_timing == 1 ) CALL timing_start('tra_bbl_dif') |
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| [2715] | 190 | ! |
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| [3294] | 191 | CALL wrk_alloc( jpi, jpj, zptb ) |
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| 192 | ! |
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| [2528] | 193 | DO jn = 1, kjpt ! tracer loop |
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| 194 | ! ! =========== |
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| 195 | DO jj = 1, jpj |
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| [3764] | 196 | DO ji = 1, jpi |
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| [5836] | 197 | ik = mbkt(ji,jj) ! bottom T-level index |
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| 198 | zptb(ji,jj) = ptb(ji,jj,ik,jn) ! bottom before T and S |
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| [2528] | 199 | END DO |
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| 200 | END DO |
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| [4990] | 201 | ! |
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| 202 | DO jj = 2, jpjm1 ! Compute the trend |
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| [2528] | 203 | DO ji = 2, jpim1 |
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| [5836] | 204 | ik = mbkt(ji,jj) ! bottom T-level index |
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| 205 | pta(ji,jj,ik,jn) = pta(ji,jj,ik,jn) & |
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| 206 | & + ( ahu_bbl(ji ,jj ) * ( zptb(ji+1,jj ) - zptb(ji ,jj ) ) & |
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| 207 | & - ahu_bbl(ji-1,jj ) * ( zptb(ji ,jj ) - zptb(ji-1,jj ) ) & |
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| 208 | & + ahv_bbl(ji ,jj ) * ( zptb(ji ,jj+1) - zptb(ji ,jj ) ) & |
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| 209 | & - ahv_bbl(ji ,jj-1) * ( zptb(ji ,jj ) - zptb(ji ,jj-1) ) ) & |
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| [6140] | 210 | & * r1_e1e2t(ji,jj) / e3t_n(ji,jj,ik) |
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| [2528] | 211 | END DO |
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| [3] | 212 | END DO |
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| [2528] | 213 | ! ! =========== |
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| 214 | END DO ! end tracer |
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| 215 | ! ! =========== |
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| [3294] | 216 | CALL wrk_dealloc( jpi, jpj, zptb ) |
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| [2715] | 217 | ! |
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| [3294] | 218 | IF( nn_timing == 1 ) CALL timing_stop('tra_bbl_dif') |
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| 219 | ! |
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| [2528] | 220 | END SUBROUTINE tra_bbl_dif |
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| [3] | 221 | |
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| [3764] | 222 | |
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| [2528] | 223 | SUBROUTINE tra_bbl_adv( ptb, pta, kjpt ) |
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| 224 | !!---------------------------------------------------------------------- |
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| 225 | !! *** ROUTINE trc_bbl *** |
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| 226 | !! |
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| [3764] | 227 | !! ** Purpose : Compute the before passive tracer trend associated |
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| [2528] | 228 | !! with the bottom boundary layer and add it to the general trend |
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| 229 | !! of tracer equations. |
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| 230 | !! ** Method : advective bbl (nn_bbl_adv = 1 or 2) : |
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| 231 | !! nn_bbl_adv = 1 use of the ocean near bottom velocity as bbl velocity |
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| [3764] | 232 | !! nn_bbl_adv = 2 follow Campin and Goosse (1999) implentation i.e. |
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| 233 | !! transport proportional to the along-slope density gradient |
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| [2528] | 234 | !! |
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| 235 | !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. |
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| 236 | !! Campin, J.-M., and H. Goosse, 1999, Tellus, 412-430. |
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| [3764] | 237 | !!---------------------------------------------------------------------- |
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| [2715] | 238 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 239 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields |
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| [3764] | 240 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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| [2715] | 241 | ! |
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| [2528] | 242 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 243 | INTEGER :: iis , iid , ijs , ijd ! local integers |
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| 244 | INTEGER :: ikus, ikud, ikvs, ikvd ! - - |
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| 245 | REAL(wp) :: zbtr, ztra ! local scalars |
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| 246 | REAL(wp) :: zu_bbl, zv_bbl ! - - |
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| 247 | !!---------------------------------------------------------------------- |
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| 248 | ! |
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| [3294] | 249 | IF( nn_timing == 1 ) CALL timing_start( 'tra_bbl_adv') |
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| [2528] | 250 | ! ! =========== |
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| 251 | DO jn = 1, kjpt ! tracer loop |
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| [3764] | 252 | ! ! =========== |
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| [457] | 253 | DO jj = 1, jpjm1 |
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| [2528] | 254 | DO ji = 1, jpim1 ! CAUTION start from i=1 to update i=2 when cyclic east-west |
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| 255 | IF( utr_bbl(ji,jj) /= 0.e0 ) THEN ! non-zero i-direction bbl advection |
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| 256 | ! down-slope i/k-indices (deep) & up-slope i/k indices (shelf) |
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| 257 | iid = ji + MAX( 0, mgrhu(ji,jj) ) ; iis = ji + 1 - MAX( 0, mgrhu(ji,jj) ) |
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| 258 | ikud = mbku_d(ji,jj) ; ikus = mbku(ji,jj) |
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| 259 | zu_bbl = ABS( utr_bbl(ji,jj) ) |
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| 260 | ! |
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| 261 | ! ! up -slope T-point (shelf bottom point) |
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| [6140] | 262 | zbtr = r1_e1e2t(iis,jj) / e3t_n(iis,jj,ikus) |
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| [2528] | 263 | ztra = zu_bbl * ( ptb(iid,jj,ikus,jn) - ptb(iis,jj,ikus,jn) ) * zbtr |
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| 264 | pta(iis,jj,ikus,jn) = pta(iis,jj,ikus,jn) + ztra |
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| [3764] | 265 | ! |
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| [2528] | 266 | DO jk = ikus, ikud-1 ! down-slope upper to down T-point (deep column) |
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| [6140] | 267 | zbtr = r1_e1e2t(iid,jj) / e3t_n(iid,jj,jk) |
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| [2528] | 268 | ztra = zu_bbl * ( ptb(iid,jj,jk+1,jn) - ptb(iid,jj,jk,jn) ) * zbtr |
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| 269 | pta(iid,jj,jk,jn) = pta(iid,jj,jk,jn) + ztra |
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| 270 | END DO |
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| [3764] | 271 | ! |
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| [6140] | 272 | zbtr = r1_e1e2t(iid,jj) / e3t_n(iid,jj,ikud) |
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| [2528] | 273 | ztra = zu_bbl * ( ptb(iis,jj,ikus,jn) - ptb(iid,jj,ikud,jn) ) * zbtr |
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| 274 | pta(iid,jj,ikud,jn) = pta(iid,jj,ikud,jn) + ztra |
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| 275 | ENDIF |
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| 276 | ! |
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| 277 | IF( vtr_bbl(ji,jj) /= 0.e0 ) THEN ! non-zero j-direction bbl advection |
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| 278 | ! down-slope j/k-indices (deep) & up-slope j/k indices (shelf) |
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| 279 | ijd = jj + MAX( 0, mgrhv(ji,jj) ) ; ijs = jj + 1 - MAX( 0, mgrhv(ji,jj) ) |
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| 280 | ikvd = mbkv_d(ji,jj) ; ikvs = mbkv(ji,jj) |
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| 281 | zv_bbl = ABS( vtr_bbl(ji,jj) ) |
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| [3764] | 282 | ! |
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| [2528] | 283 | ! up -slope T-point (shelf bottom point) |
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| [6140] | 284 | zbtr = r1_e1e2t(ji,ijs) / e3t_n(ji,ijs,ikvs) |
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| [2528] | 285 | ztra = zv_bbl * ( ptb(ji,ijd,ikvs,jn) - ptb(ji,ijs,ikvs,jn) ) * zbtr |
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| 286 | pta(ji,ijs,ikvs,jn) = pta(ji,ijs,ikvs,jn) + ztra |
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| [3764] | 287 | ! |
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| [2528] | 288 | DO jk = ikvs, ikvd-1 ! down-slope upper to down T-point (deep column) |
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| [6140] | 289 | zbtr = r1_e1e2t(ji,ijd) / e3t_n(ji,ijd,jk) |
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| [2528] | 290 | ztra = zv_bbl * ( ptb(ji,ijd,jk+1,jn) - ptb(ji,ijd,jk,jn) ) * zbtr |
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| 291 | pta(ji,ijd,jk,jn) = pta(ji,ijd,jk,jn) + ztra |
|---|
| 292 | END DO |
|---|
| 293 | ! ! down-slope T-point (deep bottom point) |
|---|
| [6140] | 294 | zbtr = r1_e1e2t(ji,ijd) / e3t_n(ji,ijd,ikvd) |
|---|
| [2528] | 295 | ztra = zv_bbl * ( ptb(ji,ijs,ikvs,jn) - ptb(ji,ijd,ikvd,jn) ) * zbtr |
|---|
| 296 | pta(ji,ijd,ikvd,jn) = pta(ji,ijd,ikvd,jn) + ztra |
|---|
| 297 | ENDIF |
|---|
| [457] | 298 | END DO |
|---|
| [2528] | 299 | ! |
|---|
| [457] | 300 | END DO |
|---|
| [7954] | 301 | ! ! =========== |
|---|
| 302 | END DO ! end tracer |
|---|
| 303 | ! ! =========== |
|---|
| 304 | ! |
|---|
| [3294] | 305 | IF( nn_timing == 1 ) CALL timing_stop( 'tra_bbl_adv') |
|---|
| 306 | ! |
|---|
| [2528] | 307 | END SUBROUTINE tra_bbl_adv |
|---|
| [3] | 308 | |
|---|
| 309 | |
|---|
| [3294] | 310 | SUBROUTINE bbl( kt, kit000, cdtype ) |
|---|
| [2528] | 311 | !!---------------------------------------------------------------------- |
|---|
| 312 | !! *** ROUTINE bbl *** |
|---|
| [3764] | 313 | !! |
|---|
| [2528] | 314 | !! ** Purpose : Computes the bottom boundary horizontal and vertical |
|---|
| [3764] | 315 | !! advection terms. |
|---|
| [2528] | 316 | !! |
|---|
| [4990] | 317 | !! ** Method : * diffusive bbl (nn_bbl_ldf=1) : |
|---|
| [2528] | 318 | !! When the product grad( rho) * grad(h) < 0 (where grad is an |
|---|
| 319 | !! along bottom slope gradient) an additional lateral 2nd order |
|---|
| 320 | !! diffusion along the bottom slope is added to the general |
|---|
| 321 | !! tracer trend, otherwise the additional trend is set to 0. |
|---|
| 322 | !! A typical value of ahbt is 2000 m2/s (equivalent to |
|---|
| 323 | !! a downslope velocity of 20 cm/s if the condition for slope |
|---|
| 324 | !! convection is satified) |
|---|
| [4990] | 325 | !! * advective bbl (nn_bbl_adv=1 or 2) : |
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| [2528] | 326 | !! nn_bbl_adv = 1 use of the ocean velocity as bbl velocity |
|---|
| 327 | !! nn_bbl_adv = 2 follow Campin and Goosse (1999) implentation |
|---|
| 328 | !! i.e. transport proportional to the along-slope density gradient |
|---|
| 329 | !! |
|---|
| 330 | !! NB: the along slope density gradient is evaluated using the |
|---|
| 331 | !! local density (i.e. referenced at a common local depth). |
|---|
| 332 | !! |
|---|
| 333 | !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. |
|---|
| 334 | !! Campin, J.-M., and H. Goosse, 1999, Tellus, 412-430. |
|---|
| [3764] | 335 | !!---------------------------------------------------------------------- |
|---|
| [2528] | 336 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
|---|
| [4990] | 337 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
|---|
| [2528] | 338 | CHARACTER(len=3), INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
|---|
| [6140] | 339 | ! |
|---|
| [2528] | 340 | INTEGER :: ji, jj ! dummy loop indices |
|---|
| 341 | INTEGER :: ik ! local integers |
|---|
| [4990] | 342 | INTEGER :: iis, iid, ikus, ikud ! - - |
|---|
| 343 | INTEGER :: ijs, ijd, ikvs, ikvd ! - - |
|---|
| 344 | REAL(wp) :: za, zb, zgdrho ! local scalars |
|---|
| 345 | REAL(wp) :: zsign, zsigna, zgbbl ! - - |
|---|
| 346 | REAL(wp), DIMENSION(jpi,jpj,jpts) :: zts, zab ! 3D workspace |
|---|
| 347 | REAL(wp), DIMENSION(jpi,jpj) :: zub, zvb, zdep ! 2D workspace |
|---|
| [2528] | 348 | !!---------------------------------------------------------------------- |
|---|
| [3294] | 349 | ! |
|---|
| 350 | IF( nn_timing == 1 ) CALL timing_start( 'bbl') |
|---|
| 351 | ! |
|---|
| 352 | IF( kt == kit000 ) THEN |
|---|
| [2528] | 353 | IF(lwp) WRITE(numout,*) |
|---|
| 354 | IF(lwp) WRITE(numout,*) 'trabbl:bbl : Compute bbl velocities and diffusive coefficients in ', cdtype |
|---|
| 355 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~' |
|---|
| 356 | ENDIF |
|---|
| [4990] | 357 | ! !* bottom variables (T, S, alpha, beta, depth, velocity) |
|---|
| [2528] | 358 | DO jj = 1, jpj |
|---|
| 359 | DO ji = 1, jpi |
|---|
| [4990] | 360 | ik = mbkt(ji,jj) ! bottom T-level index |
|---|
| 361 | zts (ji,jj,jp_tem) = tsb(ji,jj,ik,jp_tem) ! bottom before T and S |
|---|
| 362 | zts (ji,jj,jp_sal) = tsb(ji,jj,ik,jp_sal) |
|---|
| [2528] | 363 | ! |
|---|
| [6140] | 364 | zdep(ji,jj) = gdept_n(ji,jj,ik) ! bottom T-level reference depth |
|---|
| [4990] | 365 | zub (ji,jj) = un(ji,jj,mbku(ji,jj)) ! bottom velocity |
|---|
| 366 | zvb (ji,jj) = vn(ji,jj,mbkv(ji,jj)) |
|---|
| [2528] | 367 | END DO |
|---|
| 368 | END DO |
|---|
| [4990] | 369 | ! |
|---|
| 370 | CALL eos_rab( zts, zdep, zab ) |
|---|
| 371 | ! |
|---|
| [2528] | 372 | ! !-------------------! |
|---|
| 373 | IF( nn_bbl_ldf == 1 ) THEN ! diffusive bbl ! |
|---|
| 374 | ! !-------------------! |
|---|
| 375 | DO jj = 1, jpjm1 ! (criteria for non zero flux: grad(rho).grad(h) < 0 ) |
|---|
| [4990] | 376 | DO ji = 1, fs_jpim1 ! vector opt. |
|---|
| 377 | ! ! i-direction |
|---|
| 378 | za = zab(ji+1,jj,jp_tem) + zab(ji,jj,jp_tem) ! 2*(alpha,beta) at u-point |
|---|
| 379 | zb = zab(ji+1,jj,jp_sal) + zab(ji,jj,jp_sal) |
|---|
| 380 | ! ! 2*masked bottom density gradient |
|---|
| 381 | zgdrho = ( za * ( zts(ji+1,jj,jp_tem) - zts(ji,jj,jp_tem) ) & |
|---|
| 382 | & - zb * ( zts(ji+1,jj,jp_sal) - zts(ji,jj,jp_sal) ) ) * umask(ji,jj,1) |
|---|
| [3764] | 383 | ! |
|---|
| [4990] | 384 | zsign = SIGN( 0.5, -zgdrho * REAL( mgrhu(ji,jj) ) ) ! sign of ( i-gradient * i-slope ) |
|---|
| 385 | ahu_bbl(ji,jj) = ( 0.5 - zsign ) * ahu_bbl_0(ji,jj) ! masked diffusive flux coeff. |
|---|
| [1601] | 386 | ! |
|---|
| [4990] | 387 | ! ! j-direction |
|---|
| 388 | za = zab(ji,jj+1,jp_tem) + zab(ji,jj,jp_tem) ! 2*(alpha,beta) at v-point |
|---|
| 389 | zb = zab(ji,jj+1,jp_sal) + zab(ji,jj,jp_sal) |
|---|
| 390 | ! ! 2*masked bottom density gradient |
|---|
| 391 | zgdrho = ( za * ( zts(ji,jj+1,jp_tem) - zts(ji,jj,jp_tem) ) & |
|---|
| 392 | & - zb * ( zts(ji,jj+1,jp_sal) - zts(ji,jj,jp_sal) ) ) * vmask(ji,jj,1) |
|---|
| [3764] | 393 | ! |
|---|
| [4990] | 394 | zsign = SIGN( 0.5, -zgdrho * REAL( mgrhv(ji,jj) ) ) ! sign of ( j-gradient * j-slope ) |
|---|
| [2528] | 395 | ahv_bbl(ji,jj) = ( 0.5 - zsign ) * ahv_bbl_0(ji,jj) |
|---|
| [1601] | 396 | END DO |
|---|
| [3] | 397 | END DO |
|---|
| [1601] | 398 | ! |
|---|
| [2528] | 399 | ENDIF |
|---|
| [6140] | 400 | ! |
|---|
| [2528] | 401 | ! !-------------------! |
|---|
| 402 | IF( nn_bbl_adv /= 0 ) THEN ! advective bbl ! |
|---|
| 403 | ! !-------------------! |
|---|
| 404 | SELECT CASE ( nn_bbl_adv ) !* bbl transport type |
|---|
| [503] | 405 | ! |
|---|
| [2528] | 406 | CASE( 1 ) != use of upper velocity |
|---|
| 407 | DO jj = 1, jpjm1 ! criteria: grad(rho).grad(h)<0 and grad(rho).grad(h)<0 |
|---|
| 408 | DO ji = 1, fs_jpim1 ! vector opt. |
|---|
| [4990] | 409 | ! ! i-direction |
|---|
| 410 | za = zab(ji+1,jj,jp_tem) + zab(ji,jj,jp_tem) ! 2*(alpha,beta) at u-point |
|---|
| 411 | zb = zab(ji+1,jj,jp_sal) + zab(ji,jj,jp_sal) |
|---|
| 412 | ! ! 2*masked bottom density gradient |
|---|
| 413 | zgdrho = ( za * ( zts(ji+1,jj,jp_tem) - zts(ji,jj,jp_tem) ) & |
|---|
| 414 | - zb * ( zts(ji+1,jj,jp_sal) - zts(ji,jj,jp_sal) ) ) * umask(ji,jj,1) |
|---|
| [3764] | 415 | ! |
|---|
| [4990] | 416 | zsign = SIGN( 0.5, - zgdrho * REAL( mgrhu(ji,jj) ) ) ! sign of i-gradient * i-slope |
|---|
| 417 | zsigna= SIGN( 0.5, zub(ji,jj) * REAL( mgrhu(ji,jj) ) ) ! sign of u * i-slope |
|---|
| [2528] | 418 | ! |
|---|
| [4990] | 419 | ! ! bbl velocity |
|---|
| [2528] | 420 | utr_bbl(ji,jj) = ( 0.5 + zsigna ) * ( 0.5 - zsign ) * e2u(ji,jj) * e3u_bbl_0(ji,jj) * zub(ji,jj) |
|---|
| 421 | ! |
|---|
| [4990] | 422 | ! ! j-direction |
|---|
| 423 | za = zab(ji,jj+1,jp_tem) + zab(ji,jj,jp_tem) ! 2*(alpha,beta) at v-point |
|---|
| 424 | zb = zab(ji,jj+1,jp_sal) + zab(ji,jj,jp_sal) |
|---|
| 425 | ! ! 2*masked bottom density gradient |
|---|
| 426 | zgdrho = ( za * ( zts(ji,jj+1,jp_tem) - zts(ji,jj,jp_tem) ) & |
|---|
| 427 | & - zb * ( zts(ji,jj+1,jp_sal) - zts(ji,jj,jp_sal) ) ) * vmask(ji,jj,1) |
|---|
| 428 | zsign = SIGN( 0.5, - zgdrho * REAL( mgrhv(ji,jj) ) ) ! sign of j-gradient * j-slope |
|---|
| 429 | zsigna= SIGN( 0.5, zvb(ji,jj) * REAL( mgrhv(ji,jj) ) ) ! sign of u * i-slope |
|---|
| [2528] | 430 | ! |
|---|
| [4990] | 431 | ! ! bbl transport |
|---|
| [2528] | 432 | vtr_bbl(ji,jj) = ( 0.5 + zsigna ) * ( 0.5 - zsign ) * e1v(ji,jj) * e3v_bbl_0(ji,jj) * zvb(ji,jj) |
|---|
| 433 | END DO |
|---|
| 434 | END DO |
|---|
| [503] | 435 | ! |
|---|
| [2528] | 436 | CASE( 2 ) != bbl velocity = F( delta rho ) |
|---|
| 437 | zgbbl = grav * rn_gambbl |
|---|
| 438 | DO jj = 1, jpjm1 ! criteria: rho_up > rho_down |
|---|
| 439 | DO ji = 1, fs_jpim1 ! vector opt. |
|---|
| [4990] | 440 | ! ! i-direction |
|---|
| [2528] | 441 | ! down-slope T-point i/k-index (deep) & up-slope T-point i/k-index (shelf) |
|---|
| [4990] | 442 | iid = ji + MAX( 0, mgrhu(ji,jj) ) |
|---|
| 443 | iis = ji + 1 - MAX( 0, mgrhu(ji,jj) ) |
|---|
| [2528] | 444 | ! |
|---|
| [4990] | 445 | ikud = mbku_d(ji,jj) |
|---|
| 446 | ikus = mbku(ji,jj) |
|---|
| [2528] | 447 | ! |
|---|
| [4990] | 448 | za = zab(ji+1,jj,jp_tem) + zab(ji,jj,jp_tem) ! 2*(alpha,beta) at u-point |
|---|
| 449 | zb = zab(ji+1,jj,jp_sal) + zab(ji,jj,jp_sal) |
|---|
| 450 | ! ! masked bottom density gradient |
|---|
| 451 | zgdrho = 0.5 * ( za * ( zts(iid,jj,jp_tem) - zts(iis,jj,jp_tem) ) & |
|---|
| 452 | & - zb * ( zts(iid,jj,jp_sal) - zts(iis,jj,jp_sal) ) ) * umask(ji,jj,1) |
|---|
| 453 | zgdrho = MAX( 0.e0, zgdrho ) ! only if shelf is denser than deep |
|---|
| 454 | ! |
|---|
| 455 | ! ! bbl transport (down-slope direction) |
|---|
| [2528] | 456 | utr_bbl(ji,jj) = e2u(ji,jj) * e3u_bbl_0(ji,jj) * zgbbl * zgdrho * REAL( mgrhu(ji,jj) ) |
|---|
| 457 | ! |
|---|
| [4990] | 458 | ! ! j-direction |
|---|
| [2528] | 459 | ! down-slope T-point j/k-index (deep) & of the up -slope T-point j/k-index (shelf) |
|---|
| [4990] | 460 | ijd = jj + MAX( 0, mgrhv(ji,jj) ) |
|---|
| 461 | ijs = jj + 1 - MAX( 0, mgrhv(ji,jj) ) |
|---|
| [2528] | 462 | ! |
|---|
| [4990] | 463 | ikvd = mbkv_d(ji,jj) |
|---|
| 464 | ikvs = mbkv(ji,jj) |
|---|
| [2528] | 465 | ! |
|---|
| [4990] | 466 | za = zab(ji,jj+1,jp_tem) + zab(ji,jj,jp_tem) ! 2*(alpha,beta) at v-point |
|---|
| 467 | zb = zab(ji,jj+1,jp_sal) + zab(ji,jj,jp_sal) |
|---|
| 468 | ! ! masked bottom density gradient |
|---|
| 469 | zgdrho = 0.5 * ( za * ( zts(ji,ijd,jp_tem) - zts(ji,ijs,jp_tem) ) & |
|---|
| 470 | & - zb * ( zts(ji,ijd,jp_sal) - zts(ji,ijs,jp_sal) ) ) * vmask(ji,jj,1) |
|---|
| 471 | zgdrho = MAX( 0.e0, zgdrho ) ! only if shelf is denser than deep |
|---|
| 472 | ! |
|---|
| 473 | ! ! bbl transport (down-slope direction) |
|---|
| [2528] | 474 | vtr_bbl(ji,jj) = e1v(ji,jj) * e3v_bbl_0(ji,jj) * zgbbl * zgdrho * REAL( mgrhv(ji,jj) ) |
|---|
| 475 | END DO |
|---|
| 476 | END DO |
|---|
| [3] | 477 | END SELECT |
|---|
| [2528] | 478 | ! |
|---|
| [3] | 479 | ENDIF |
|---|
| [503] | 480 | ! |
|---|
| [3294] | 481 | IF( nn_timing == 1 ) CALL timing_stop( 'bbl') |
|---|
| 482 | ! |
|---|
| [2528] | 483 | END SUBROUTINE bbl |
|---|
| [3] | 484 | |
|---|
| 485 | |
|---|
| 486 | SUBROUTINE tra_bbl_init |
|---|
| 487 | !!---------------------------------------------------------------------- |
|---|
| 488 | !! *** ROUTINE tra_bbl_init *** |
|---|
| 489 | !! |
|---|
| 490 | !! ** Purpose : Initialization for the bottom boundary layer scheme. |
|---|
| 491 | !! |
|---|
| 492 | !! ** Method : Read the nambbl namelist and check the parameters |
|---|
| [3294] | 493 | !! called by nemo_init at the first timestep (kit000) |
|---|
| [3] | 494 | !!---------------------------------------------------------------------- |
|---|
| [2528] | 495 | INTEGER :: ji, jj ! dummy loop indices |
|---|
| [4990] | 496 | INTEGER :: ii0, ii1, ij0, ij1 ! local integer |
|---|
| 497 | INTEGER :: ios ! - - |
|---|
| [3294] | 498 | REAL(wp), POINTER, DIMENSION(:,:) :: zmbk |
|---|
| [7954] | 499 | !! |
|---|
| 500 | NAMELIST/nambbl/ ln_trabbl, nn_bbl_ldf, nn_bbl_adv, rn_ahtbbl, rn_gambbl |
|---|
| [3] | 501 | !!---------------------------------------------------------------------- |
|---|
| [3294] | 502 | ! |
|---|
| 503 | IF( nn_timing == 1 ) CALL timing_start( 'tra_bbl_init') |
|---|
| 504 | ! |
|---|
| [4147] | 505 | REWIND( numnam_ref ) ! Namelist nambbl in reference namelist : Bottom boundary layer scheme |
|---|
| 506 | READ ( numnam_ref, nambbl, IOSTAT = ios, ERR = 901) |
|---|
| [6140] | 507 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'nambbl in reference namelist', lwp ) |
|---|
| 508 | ! |
|---|
| [4147] | 509 | REWIND( numnam_cfg ) ! Namelist nambbl in configuration namelist : Bottom boundary layer scheme |
|---|
| 510 | READ ( numnam_cfg, nambbl, IOSTAT = ios, ERR = 902 ) |
|---|
| [6140] | 511 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'nambbl in configuration namelist', lwp ) |
|---|
| [4624] | 512 | IF(lwm) WRITE ( numond, nambbl ) |
|---|
| [2528] | 513 | ! |
|---|
| 514 | l_bbl = .TRUE. !* flag to compute bbl coef and transport |
|---|
| 515 | ! |
|---|
| 516 | IF(lwp) THEN !* Parameter control and print |
|---|
| [3] | 517 | WRITE(numout,*) |
|---|
| [2528] | 518 | WRITE(numout,*) 'tra_bbl_init : bottom boundary layer initialisation' |
|---|
| [3] | 519 | WRITE(numout,*) '~~~~~~~~~~~~' |
|---|
| [7954] | 520 | WRITE(numout,*) ' Namelist nambbl : set bbl parameters' |
|---|
| 521 | WRITE(numout,*) ' bottom boundary layer flag ln_trabbl = ', ln_trabbl |
|---|
| [3] | 522 | ENDIF |
|---|
| [7954] | 523 | IF( .NOT.ln_trabbl ) RETURN |
|---|
| 524 | ! |
|---|
| 525 | IF(lwp) THEN |
|---|
| 526 | WRITE(numout,*) ' diffusive bbl (=1) or not (=0) nn_bbl_ldf = ', nn_bbl_ldf |
|---|
| 527 | WRITE(numout,*) ' advective bbl (=1/2) or not (=0) nn_bbl_adv = ', nn_bbl_adv |
|---|
| 528 | WRITE(numout,*) ' diffusive bbl coefficient rn_ahtbbl = ', rn_ahtbbl, ' m2/s' |
|---|
| 529 | WRITE(numout,*) ' advective bbl coefficient rn_gambbl = ', rn_gambbl, ' s' |
|---|
| 530 | ENDIF |
|---|
| 531 | ! |
|---|
| [2715] | 532 | ! ! allocate trabbl arrays |
|---|
| 533 | IF( tra_bbl_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'tra_bbl_init : unable to allocate arrays' ) |
|---|
| [7954] | 534 | ! |
|---|
| [2528] | 535 | IF( nn_bbl_adv == 1 ) WRITE(numout,*) ' * Advective BBL using upper velocity' |
|---|
| 536 | IF( nn_bbl_adv == 2 ) WRITE(numout,*) ' * Advective BBL using velocity = F( delta rho)' |
|---|
| [7954] | 537 | ! |
|---|
| [2528] | 538 | ! !* vertical index of "deep" bottom u- and v-points |
|---|
| 539 | DO jj = 1, jpjm1 ! (the "shelf" bottom k-indices are mbku and mbkv) |
|---|
| 540 | DO ji = 1, jpim1 |
|---|
| 541 | mbku_d(ji,jj) = MAX( mbkt(ji+1,jj ) , mbkt(ji,jj) ) ! >= 1 as mbkt=1 over land |
|---|
| 542 | mbkv_d(ji,jj) = MAX( mbkt(ji ,jj+1) , mbkt(ji,jj) ) |
|---|
| [3] | 543 | END DO |
|---|
| 544 | END DO |
|---|
| [4990] | 545 | ! converte into REAL to use lbc_lnk ; impose a min value of 1 as a zero can be set in lbclnk |
|---|
| [6140] | 546 | CALL wrk_alloc( jpi, jpj, zmbk ) |
|---|
| [2528] | 547 | zmbk(:,:) = REAL( mbku_d(:,:), wp ) ; CALL lbc_lnk(zmbk,'U',1.) ; mbku_d(:,:) = MAX( INT( zmbk(:,:) ), 1 ) |
|---|
| 548 | zmbk(:,:) = REAL( mbkv_d(:,:), wp ) ; CALL lbc_lnk(zmbk,'V',1.) ; mbkv_d(:,:) = MAX( INT( zmbk(:,:) ), 1 ) |
|---|
| [6140] | 549 | CALL wrk_dealloc( jpi, jpj, zmbk ) |
|---|
| [7954] | 550 | ! |
|---|
| [7646] | 551 | ! !* sign of grad(H) at u- and v-points |
|---|
| [4990] | 552 | mgrhu(jpi,:) = 0 ; mgrhu(:,jpj) = 0 ; mgrhv(jpi,:) = 0 ; mgrhv(:,jpj) = 0 |
|---|
| [3764] | 553 | DO jj = 1, jpjm1 |
|---|
| [3] | 554 | DO ji = 1, jpim1 |
|---|
| [4292] | 555 | mgrhu(ji,jj) = INT( SIGN( 1.e0, gdept_0(ji+1,jj,mbkt(ji+1,jj)) - gdept_0(ji,jj,mbkt(ji,jj)) ) ) |
|---|
| 556 | mgrhv(ji,jj) = INT( SIGN( 1.e0, gdept_0(ji,jj+1,mbkt(ji,jj+1)) - gdept_0(ji,jj,mbkt(ji,jj)) ) ) |
|---|
| [3] | 557 | END DO |
|---|
| 558 | END DO |
|---|
| [7646] | 559 | ! |
|---|
| [3764] | 560 | DO jj = 1, jpjm1 !* bbl thickness at u- (v-) point |
|---|
| [4990] | 561 | DO ji = 1, jpim1 ! minimum of top & bottom e3u_0 (e3v_0) |
|---|
| [4292] | 562 | e3u_bbl_0(ji,jj) = MIN( e3u_0(ji,jj,mbkt(ji+1,jj )), e3u_0(ji,jj,mbkt(ji,jj)) ) |
|---|
| 563 | e3v_bbl_0(ji,jj) = MIN( e3v_0(ji,jj,mbkt(ji ,jj+1)), e3v_0(ji,jj,mbkt(ji,jj)) ) |
|---|
| [3764] | 564 | END DO |
|---|
| [2528] | 565 | END DO |
|---|
| 566 | CALL lbc_lnk( e3u_bbl_0, 'U', 1. ) ; CALL lbc_lnk( e3v_bbl_0, 'V', 1. ) ! lateral boundary conditions |
|---|
| [7646] | 567 | ! |
|---|
| [3764] | 568 | ! !* masked diffusive flux coefficients |
|---|
| [7753] | 569 | ahu_bbl_0(:,:) = rn_ahtbbl * e2_e1u(:,:) * e3u_bbl_0(:,:) * umask(:,:,1) |
|---|
| 570 | ahv_bbl_0(:,:) = rn_ahtbbl * e1_e2v(:,:) * e3v_bbl_0(:,:) * vmask(:,:,1) |
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| [503] | 571 | ! |
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| [3294] | 572 | IF( nn_timing == 1 ) CALL timing_stop( 'tra_bbl_init') |
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| 573 | ! |
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| [3] | 574 | END SUBROUTINE tra_bbl_init |
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| 575 | |
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| 576 | !!====================================================================== |
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| 577 | END MODULE trabbl |
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