MODULE trabbl !!============================================================================== !! *** MODULE trabbl *** !! Ocean physics : advective and/or diffusive bottom boundary layer scheme !!============================================================================== !! History : OPA ! 1996-06 (L. Mortier) Original code !! 8.0 ! 1997-11 (G. Madec) Optimization !! NEMO 1.0 ! 2002-08 (G. Madec) free form + modules !! - ! 2004-01 (A. de Miranda, G. Madec, J.M. Molines ) add advective bbl !! 3.3 ! 2009-11 (G. Madec) merge trabbl and trabbl_adv + style + optimization !! - ! 2010-04 (G. Madec) Campin & Goosse advective bbl !! - ! 2010-06 (C. Ethe, G. Madec) merge TRA-TRC !! - ! 2010-11 (G. Madec) add mbk. arrays associated to the deepest ocean level !!---------------------------------------------------------------------- #if defined key_trabbl || defined key_esopa !!---------------------------------------------------------------------- !! 'key_trabbl' or bottom boundary layer !!---------------------------------------------------------------------- !! tra_bbl_alloc : allocate trabbl arrays !! tra_bbl : update the tracer trends due to the bottom boundary layer (advective and/or diffusive) !! tra_bbl_dif : generic routine to compute bbl diffusive trend !! tra_bbl_adv : generic routine to compute bbl advective trend !! bbl : computation of bbl diffu. flux coef. & transport in bottom boundary layer !! tra_bbl_init : initialization, namelist read, parameters control !!---------------------------------------------------------------------- USE oce ! ocean dynamics and active tracers USE dom_oce ! ocean space and time domain USE phycst ! physical constant USE eosbn2 ! equation of state USE trdmod_oce ! trends: ocean variables USE trdtra ! trends: active tracers USE iom ! IOM server USE in_out_manager ! I/O manager USE lbclnk ! ocean lateral boundary conditions USE prtctl ! Print control USE wrk_nemo ! Memory Allocation USE timing ! Timing IMPLICIT NONE PRIVATE PUBLIC tra_bbl ! routine called by step.F90 PUBLIC tra_bbl_init ! routine called by opa.F90 PUBLIC tra_bbl_dif ! routine called by trcbbl.F90 PUBLIC tra_bbl_adv ! - - - - PUBLIC bbl ! routine called by trcbbl.F90 and dtadyn.F90 LOGICAL, PUBLIC, PARAMETER :: lk_trabbl = .TRUE. !: bottom boundary layer flag ! !!* Namelist nambbl * INTEGER , PUBLIC :: nn_bbl_ldf = 0 !: =1 : diffusive bbl or not (=0) INTEGER , PUBLIC :: nn_bbl_adv = 0 !: =1/2 : advective bbl or not (=0) ! ! =1 : advective bbl using the bottom ocean velocity ! ! =2 : - - using utr_bbl proportional to grad(rho) REAL(wp), PUBLIC :: rn_ahtbbl = 1.e3_wp !: along slope bbl diffusive coefficient [m2/s] REAL(wp), PUBLIC :: rn_gambbl = 10.0_wp !: lateral coeff. for bottom boundary layer scheme [s] LOGICAL , PUBLIC :: l_bbl !: flag to compute bbl diffu. flux coef and transport REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:), PUBLIC :: utr_bbl , vtr_bbl ! u- (v-) transport in the bottom boundary layer REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:), PUBLIC :: ahu_bbl , ahv_bbl ! masked diffusive bbl coeff. at u & v-pts INTEGER , ALLOCATABLE, SAVE, DIMENSION(:,:), PUBLIC :: mbku_d , mbkv_d ! vertical index of the "lower" bottom ocean U/V-level (PUBLIC for TAM) INTEGER , ALLOCATABLE, SAVE, DIMENSION(:,:), PUBLIC :: mgrhu , mgrhv ! = +/-1, sign of grad(H) in u-(v-)direction (PUBLIC for TAM) REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ahu_bbl_0, ahv_bbl_0 ! diffusive bbl flux coefficients at u and v-points 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) REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:), PUBLIC :: r1_e1e2t ! inverse of the cell surface at t-point [1/m2] (PUBLIC for TAM) !! * Substitutions # include "domzgr_substitute.h90" # include "vectopt_loop_substitute.h90" !!---------------------------------------------------------------------- !! NEMO/OPA 3.3 , NEMO Consortium (2010) !! $Id$ !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) !!---------------------------------------------------------------------- CONTAINS INTEGER FUNCTION tra_bbl_alloc() !!---------------------------------------------------------------------- !! *** FUNCTION tra_bbl_alloc *** !!---------------------------------------------------------------------- ALLOCATE( utr_bbl (jpi,jpj) , ahu_bbl (jpi,jpj) , mbku_d (jpi,jpj) , mgrhu(jpi,jpj) , & & vtr_bbl (jpi,jpj) , ahv_bbl (jpi,jpj) , mbkv_d (jpi,jpj) , mgrhv(jpi,jpj) , & & ahu_bbl_0(jpi,jpj) , ahv_bbl_0(jpi,jpj) , & & e3u_bbl_0(jpi,jpj) , e3v_bbl_0(jpi,jpj) , r1_e1e2t(jpi,jpj) , STAT= tra_bbl_alloc ) ! IF( lk_mpp ) CALL mpp_sum ( tra_bbl_alloc ) IF( tra_bbl_alloc > 0 ) CALL ctl_warn('tra_bbl_alloc: allocation of arrays failed.') END FUNCTION tra_bbl_alloc SUBROUTINE tra_bbl( kt ) !!---------------------------------------------------------------------- !! *** ROUTINE bbl *** !! !! ** Purpose : Compute the before tracer (t & s) trend associated !! with the bottom boundary layer and add it to the general !! trend of tracer equations. !! !! ** Method : Depending on namtra_bbl namelist parameters the bbl !! diffusive and/or advective contribution to the tracer trend !! is added to the general tracer trend !!---------------------------------------------------------------------- INTEGER, INTENT( in ) :: kt ! ocean time-step !! REAL(wp), POINTER, DIMENSION(:,:,:) :: ztrdt, ztrds !!---------------------------------------------------------------------- ! IF( nn_timing == 1 ) CALL timing_start( 'tra_bbl') ! IF( l_trdtra ) THEN !* Save ta and sa trends CALL wrk_alloc( jpi, jpj, jpk, ztrdt, ztrds ) ztrdt(:,:,:) = tsa(:,:,:,jp_tem) ztrds(:,:,:) = tsa(:,:,:,jp_sal) ENDIF IF( l_bbl ) CALL bbl( kt, nit000, 'TRA' ) !* bbl coef. and transport (only if not already done in trcbbl) IF( nn_bbl_ldf == 1 ) THEN !* Diffusive bbl ! CALL tra_bbl_dif( tsb, tsa, jpts ) IF( ln_ctl ) & CALL prt_ctl( tab3d_1=tsa(:,:,:,jp_tem), clinfo1=' bbl_ldf - Ta: ', mask1=tmask, & & tab3d_2=tsa(:,:,:,jp_sal), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) ! lateral boundary conditions ; just need for outputs CALL lbc_lnk( ahu_bbl, 'U', 1. ) ; CALL lbc_lnk( ahv_bbl, 'V', 1. ) CALL iom_put( "ahu_bbl", ahu_bbl ) ! bbl diffusive flux i-coef CALL iom_put( "ahv_bbl", ahv_bbl ) ! bbl diffusive flux j-coef ! END IF IF( nn_bbl_adv /= 0 ) THEN !* Advective bbl ! CALL tra_bbl_adv( tsb, tsa, jpts ) IF(ln_ctl) & CALL prt_ctl( tab3d_1=tsa(:,:,:,jp_tem), clinfo1=' bbl_adv - Ta: ', mask1=tmask, & & tab3d_2=tsa(:,:,:,jp_sal), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) ! lateral boundary conditions ; just need for outputs CALL lbc_lnk( utr_bbl, 'U', 1. ) ; CALL lbc_lnk( vtr_bbl, 'V', 1. ) CALL iom_put( "uoce_bbl", utr_bbl ) ! bbl i-transport CALL iom_put( "voce_bbl", vtr_bbl ) ! bbl j-transport ! END IF IF( l_trdtra ) THEN ! save the horizontal diffusive trends for further diagnostics ztrdt(:,:,:) = tsa(:,:,:,jp_tem) - ztrdt(:,:,:) ztrds(:,:,:) = tsa(:,:,:,jp_sal) - ztrds(:,:,:) CALL trd_tra( kt, 'TRA', jp_tem, jptra_trd_bbl, ztrdt ) CALL trd_tra( kt, 'TRA', jp_sal, jptra_trd_bbl, ztrds ) CALL wrk_dealloc( jpi, jpj, jpk, ztrdt, ztrds ) ENDIF ! IF( nn_timing == 1 ) CALL timing_stop( 'tra_bbl') ! END SUBROUTINE tra_bbl SUBROUTINE tra_bbl_dif( ptb, pta, kjpt ) !!---------------------------------------------------------------------- !! *** ROUTINE tra_bbl_dif *** !! !! ** Purpose : Computes the bottom boundary horizontal and vertical !! advection terms. !! !! ** Method : !! * diffusive bbl (nn_bbl_ldf=1) : !! When the product grad( rho) * grad(h) < 0 (where grad is an !! along bottom slope gradient) an additional lateral 2nd order !! diffusion along the bottom slope is added to the general !! tracer trend, otherwise the additional trend is set to 0. !! A typical value of ahbt is 2000 m2/s (equivalent to !! a downslope velocity of 20 cm/s if the condition for slope !! convection is satified) !! !! ** Action : pta increased by the bbl diffusive trend !! !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. !! Campin, J.-M., and H. Goosse, 1999, Tellus, 412-430. !!---------------------------------------------------------------------- ! INTEGER , INTENT(in ) :: kjpt ! number of tracers REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend ! INTEGER :: ji, jj, jn ! dummy loop indices INTEGER :: ik ! local integers REAL(wp) :: zbtr ! local scalars REAL(wp), POINTER, DIMENSION(:,:) :: zptb !!---------------------------------------------------------------------- ! IF( nn_timing == 1 ) CALL timing_start('tra_bbl_dif') ! CALL wrk_alloc( jpi, jpj, zptb ) ! DO jn = 1, kjpt ! tracer loop ! ! =========== # if defined key_vectopt_loop DO jj = 1, 1 ! vector opt. (forced unrolling) DO ji = 1, jpij #else DO jj = 1, jpj DO ji = 1, jpi #endif ik = mbkt(ji,jj) ! bottom T-level index zptb(ji,jj) = ptb(ji,jj,ik,jn) ! bottom before T and S END DO END DO ! ! Compute the trend # if defined key_vectopt_loop DO jj = 1, 1 ! vector opt. (forced unrolling) DO ji = jpi+1, jpij-jpi-1 # else DO jj = 2, jpjm1 DO ji = 2, jpim1 # endif ik = mbkt(ji,jj) ! bottom T-level index zbtr = r1_e1e2t(ji,jj) / fse3t(ji,jj,ik) pta(ji,jj,ik,jn) = pta(ji,jj,ik,jn) & & + ( ahu_bbl(ji ,jj ) * ( zptb(ji+1,jj ) - zptb(ji ,jj ) ) & & - ahu_bbl(ji-1,jj ) * ( zptb(ji ,jj ) - zptb(ji-1,jj ) ) & & + ahv_bbl(ji ,jj ) * ( zptb(ji ,jj+1) - zptb(ji ,jj ) ) & & - ahv_bbl(ji ,jj-1) * ( zptb(ji ,jj ) - zptb(ji ,jj-1) ) ) * zbtr END DO END DO ! ! =========== END DO ! end tracer ! ! =========== CALL wrk_dealloc( jpi, jpj, zptb ) ! IF( nn_timing == 1 ) CALL timing_stop('tra_bbl_dif') ! END SUBROUTINE tra_bbl_dif SUBROUTINE tra_bbl_adv( ptb, pta, kjpt ) !!---------------------------------------------------------------------- !! *** ROUTINE trc_bbl *** !! !! ** Purpose : Compute the before passive tracer trend associated !! with the bottom boundary layer and add it to the general trend !! of tracer equations. !! ** Method : advective bbl (nn_bbl_adv = 1 or 2) : !! nn_bbl_adv = 1 use of the ocean near bottom velocity as bbl velocity !! nn_bbl_adv = 2 follow Campin and Goosse (1999) implentation i.e. !! transport proportional to the along-slope density gradient !! !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. !! Campin, J.-M., and H. Goosse, 1999, Tellus, 412-430. !!---------------------------------------------------------------------- INTEGER , INTENT(in ) :: kjpt ! number of tracers REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend ! INTEGER :: ji, jj, jk, jn ! dummy loop indices INTEGER :: iis , iid , ijs , ijd ! local integers INTEGER :: ikus, ikud, ikvs, ikvd ! - - REAL(wp) :: zbtr, ztra ! local scalars REAL(wp) :: zu_bbl, zv_bbl ! - - !!---------------------------------------------------------------------- ! IF( nn_timing == 1 ) CALL timing_start( 'tra_bbl_adv') ! ! =========== DO jn = 1, kjpt ! tracer loop ! ! =========== # if defined key_vectopt_loop DO jj = 1, 1 DO ji = 1, jpij-jpi-1 ! vector opt. (forced unrolling) # else DO jj = 1, jpjm1 DO ji = 1, jpim1 ! CAUTION start from i=1 to update i=2 when cyclic east-west # endif IF( utr_bbl(ji,jj) /= 0.e0 ) THEN ! non-zero i-direction bbl advection ! down-slope i/k-indices (deep) & up-slope i/k indices (shelf) iid = ji + MAX( 0, mgrhu(ji,jj) ) ; iis = ji + 1 - MAX( 0, mgrhu(ji,jj) ) ikud = mbku_d(ji,jj) ; ikus = mbku(ji,jj) zu_bbl = ABS( utr_bbl(ji,jj) ) ! ! ! up -slope T-point (shelf bottom point) zbtr = r1_e1e2t(iis,jj) / fse3t(iis,jj,ikus) ztra = zu_bbl * ( ptb(iid,jj,ikus,jn) - ptb(iis,jj,ikus,jn) ) * zbtr pta(iis,jj,ikus,jn) = pta(iis,jj,ikus,jn) + ztra ! DO jk = ikus, ikud-1 ! down-slope upper to down T-point (deep column) zbtr = r1_e1e2t(iid,jj) / fse3t(iid,jj,jk) ztra = zu_bbl * ( ptb(iid,jj,jk+1,jn) - ptb(iid,jj,jk,jn) ) * zbtr pta(iid,jj,jk,jn) = pta(iid,jj,jk,jn) + ztra END DO ! zbtr = r1_e1e2t(iid,jj) / fse3t(iid,jj,ikud) ztra = zu_bbl * ( ptb(iis,jj,ikus,jn) - ptb(iid,jj,ikud,jn) ) * zbtr pta(iid,jj,ikud,jn) = pta(iid,jj,ikud,jn) + ztra ENDIF ! IF( vtr_bbl(ji,jj) /= 0.e0 ) THEN ! non-zero j-direction bbl advection ! down-slope j/k-indices (deep) & up-slope j/k indices (shelf) ijd = jj + MAX( 0, mgrhv(ji,jj) ) ; ijs = jj + 1 - MAX( 0, mgrhv(ji,jj) ) ikvd = mbkv_d(ji,jj) ; ikvs = mbkv(ji,jj) zv_bbl = ABS( vtr_bbl(ji,jj) ) ! ! up -slope T-point (shelf bottom point) zbtr = r1_e1e2t(ji,ijs) / fse3t(ji,ijs,ikvs) ztra = zv_bbl * ( ptb(ji,ijd,ikvs,jn) - ptb(ji,ijs,ikvs,jn) ) * zbtr pta(ji,ijs,ikvs,jn) = pta(ji,ijs,ikvs,jn) + ztra ! DO jk = ikvs, ikvd-1 ! down-slope upper to down T-point (deep column) zbtr = r1_e1e2t(ji,ijd) / fse3t(ji,ijd,jk) ztra = zv_bbl * ( ptb(ji,ijd,jk+1,jn) - ptb(ji,ijd,jk,jn) ) * zbtr pta(ji,ijd,jk,jn) = pta(ji,ijd,jk,jn) + ztra END DO ! ! down-slope T-point (deep bottom point) zbtr = r1_e1e2t(ji,ijd) / fse3t(ji,ijd,ikvd) ztra = zv_bbl * ( ptb(ji,ijs,ikvs,jn) - ptb(ji,ijd,ikvd,jn) ) * zbtr pta(ji,ijd,ikvd,jn) = pta(ji,ijd,ikvd,jn) + ztra ENDIF END DO ! END DO ! ! =========== END DO ! end tracer ! ! =========== ! IF( nn_timing == 1 ) CALL timing_stop( 'tra_bbl_adv') ! END SUBROUTINE tra_bbl_adv SUBROUTINE bbl( kt, kit000, cdtype ) !!---------------------------------------------------------------------- !! *** ROUTINE bbl *** !! !! ** Purpose : Computes the bottom boundary horizontal and vertical !! advection terms. !! !! ** Method : !! * diffusive bbl (nn_bbl_ldf=1) : !! When the product grad( rho) * grad(h) < 0 (where grad is an !! along bottom slope gradient) an additional lateral 2nd order !! diffusion along the bottom slope is added to the general !! tracer trend, otherwise the additional trend is set to 0. !! A typical value of ahbt is 2000 m2/s (equivalent to !! a downslope velocity of 20 cm/s if the condition for slope !! convection is satified) !! * advective bbl (nn_bbl_adv=1 or 2) : !! nn_bbl_adv = 1 use of the ocean velocity as bbl velocity !! nn_bbl_adv = 2 follow Campin and Goosse (1999) implentation !! i.e. transport proportional to the along-slope density gradient !! !! NB: the along slope density gradient is evaluated using the !! local density (i.e. referenced at a common local depth). !! !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. !! Campin, J.-M., and H. Goosse, 1999, Tellus, 412-430. !!---------------------------------------------------------------------- ! INTEGER , INTENT(in ) :: kt ! ocean time-step index INTEGER , INTENT(in ) :: kit000 ! first time step index CHARACTER(len=3), INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) !! INTEGER :: ji, jj ! dummy loop indices INTEGER :: ik ! local integers INTEGER :: iis , iid , ijs , ijd ! - - INTEGER :: ikus, ikud, ikvs, ikvd ! - - REAL(wp) :: zsign, zsigna, zgbbl ! local scalars REAL(wp) :: zgdrho, zt, zs, zh ! - - !! REAL(wp) :: fsalbt, fsbeta, pft, pfs, pfh ! statement function REAL(wp), POINTER, DIMENSION(:,:) :: zub, zvb, ztb, zsb, zdep !!----------------------- zv_bbl----------------------------------------------- ! ratio alpha/beta = fsalbt : ratio of thermal over saline expension coefficients ! ================ pft : potential temperature in degrees celcius ! pfs : salinity anomaly (s-35) in psu ! pfh : depth in meters ! nn_eos = 0 (Jackett and McDougall 1994 formulation) fsalbt( pft, pfs, pfh ) = & ! alpha/beta ( ( ( -0.255019e-07 * pft + 0.298357e-05 ) * pft & - 0.203814e-03 ) * pft & + 0.170907e-01 ) * pft & + 0.665157e-01 & +(-0.678662e-05 * pfs - 0.846960e-04 * pft + 0.378110e-02 ) * pfs & + ( ( - 0.302285e-13 * pfh & - 0.251520e-11 * pfs & + 0.512857e-12 * pft * pft ) * pfh & - 0.164759e-06 * pfs & +( 0.791325e-08 * pft - 0.933746e-06 ) * pft & + 0.380374e-04 ) * pfh fsbeta( pft, pfs, pfh ) = & ! beta ( ( -0.415613e-09 * pft + 0.555579e-07 ) * pft & - 0.301985e-05 ) * pft & + 0.785567e-03 & + ( 0.515032e-08 * pfs & + 0.788212e-08 * pft - 0.356603e-06 ) * pfs & +( ( 0.121551e-17 * pfh & - 0.602281e-15 * pfs & - 0.175379e-14 * pft + 0.176621e-12 ) * pfh & + 0.408195e-10 * pfs & + ( - 0.213127e-11 * pft + 0.192867e-09 ) * pft & - 0.121555e-07 ) * pfh !!---------------------------------------------------------------------- ! IF( nn_timing == 1 ) CALL timing_start( 'bbl') ! CALL wrk_alloc( jpi, jpj, zub, zvb, ztb, zsb, zdep ) ! IF( kt == kit000 ) THEN IF(lwp) WRITE(numout,*) IF(lwp) WRITE(numout,*) 'trabbl:bbl : Compute bbl velocities and diffusive coefficients in ', cdtype IF(lwp) WRITE(numout,*) '~~~~~~~~~~' ENDIF ! !* bottom temperature, salinity, velocity and depth #if defined key_vectopt_loop DO jj = 1, 1 ! vector opt. (forced unrolling) DO ji = 1, jpij #else DO jj = 1, jpj DO ji = 1, jpi #endif ik = mbkt(ji,jj) ! bottom T-level index ztb (ji,jj) = tsb(ji,jj,ik,jp_tem) * tmask(ji,jj,1) ! bottom before T and S zsb (ji,jj) = tsb(ji,jj,ik,jp_sal) * tmask(ji,jj,1) zdep(ji,jj) = fsdept_0(ji,jj,ik) ! bottom T-level reference depth ! zub(ji,jj) = un(ji,jj,mbku(ji,jj)) ! bottom velocity zvb(ji,jj) = vn(ji,jj,mbkv(ji,jj)) END DO END DO ! !-------------------! IF( nn_bbl_ldf == 1 ) THEN ! diffusive bbl ! ! !-------------------! DO jj = 1, jpjm1 ! (criteria for non zero flux: grad(rho).grad(h) < 0 ) DO ji = 1, jpim1 ! ! i-direction zt = 0.5 * ( ztb (ji,jj) + ztb (ji+1,jj) ) ! T, S anomalie, and depth zs = 0.5 * ( zsb (ji,jj) + zsb (ji+1,jj) ) - 35.0 zh = 0.5 * ( zdep(ji,jj) + zdep(ji+1,jj) ) ! ! masked bbl i-gradient of density zgdrho = ( fsalbt( zt, zs, zh ) * ( ztb(ji+1,jj) - ztb(ji,jj) ) & & - ( zsb(ji+1,jj) - zsb(ji,jj) ) ) * umask(ji,jj,1) ! zsign = SIGN( 0.5, - zgdrho * REAL( mgrhu(ji,jj) ) ) ! sign of ( i-gradient * i-slope ) ahu_bbl(ji,jj) = ( 0.5 - zsign ) * ahu_bbl_0(ji,jj) ! masked diffusive flux coeff. ! ! ! j-direction zt = 0.5 * ( ztb (ji,jj+1) + ztb (ji,jj) ) ! T, S anomalie, and depth zs = 0.5 * ( zsb (ji,jj+1) + zsb (ji,jj) ) - 35.0 zh = 0.5 * ( zdep(ji,jj+1) + zdep(ji,jj) ) ! ! masked bbl j-gradient of density zgdrho = ( fsalbt( zt, zs, zh ) * ( ztb(ji,jj+1) - ztb(ji,jj) ) & & - ( zsb(ji,jj+1) - zsb(ji,jj) ) ) * vmask(ji,jj,1) ! zsign = SIGN( 0.5, -zgdrho * REAL( mgrhv(ji,jj) ) ) ! sign of ( j-gradient * j-slope ) ahv_bbl(ji,jj) = ( 0.5 - zsign ) * ahv_bbl_0(ji,jj) ! END DO END DO ! ENDIF ! !-------------------! IF( nn_bbl_adv /= 0 ) THEN ! advective bbl ! ! !-------------------! SELECT CASE ( nn_bbl_adv ) !* bbl transport type ! CASE( 1 ) != use of upper velocity DO jj = 1, jpjm1 ! criteria: grad(rho).grad(h)<0 and grad(rho).grad(h)<0 DO ji = 1, fs_jpim1 ! vector opt. ! ! i-direction zt = 0.5 * ( ztb (ji,jj) + ztb (ji+1,jj) ) ! T, S anomalie, and depth zs = 0.5 * ( zsb (ji,jj) + zsb (ji+1,jj) ) - 35.0 zh = 0.5 * ( zdep(ji,jj) + zdep(ji+1,jj) ) ! ! masked bbl i-gradient of density zgdrho = ( fsalbt( zt, zs, zh ) * ( ztb(ji+1,jj) - ztb(ji,jj) ) & & - ( zsb(ji+1,jj) - zsb(ji,jj) ) ) * umask(ji,jj,1) ! zsign = SIGN( 0.5, - zgdrho * REAL( mgrhu(ji,jj) ) ) ! sign of i-gradient * i-slope zsigna= SIGN( 0.5, zub(ji,jj) * REAL( mgrhu(ji,jj) ) ) ! sign of u * i-slope ! ! ! bbl velocity utr_bbl(ji,jj) = ( 0.5 + zsigna ) * ( 0.5 - zsign ) * e2u(ji,jj) * e3u_bbl_0(ji,jj) * zub(ji,jj) ! ! ! j-direction zt = 0.5 * ( ztb (ji,jj+1) + ztb (ji,jj) ) ! T, S anomalie, and depth zs = 0.5 * ( zsb (ji,jj+1) + zsb (ji,jj) ) - 35.0 zh = 0.5 * ( zdep(ji,jj+1) + zdep(ji,jj) ) ! ! masked bbl j-gradient of density zgdrho = ( fsalbt( zt, zs, zh ) * ( ztb(ji,jj+1) - ztb(ji,jj) ) & & - ( zsb(ji,jj+1) - zsb(ji,jj) ) ) * vmask(ji,jj,1) zsign = SIGN( 0.5, - zgdrho * REAL( mgrhv(ji,jj) ) ) ! sign of j-gradient * j-slope zsigna= SIGN( 0.5, zvb(ji,jj) * REAL( mgrhv(ji,jj) ) ) ! sign of u * i-slope ! ! ! bbl velocity vtr_bbl(ji,jj) = ( 0.5 + zsigna ) * ( 0.5 - zsign ) * e1v(ji,jj) * e3v_bbl_0(ji,jj) * zvb(ji,jj) END DO END DO ! CASE( 2 ) != bbl velocity = F( delta rho ) zgbbl = grav * rn_gambbl DO jj = 1, jpjm1 ! criteria: rho_up > rho_down DO ji = 1, fs_jpim1 ! vector opt. ! ! i-direction ! down-slope T-point i/k-index (deep) & up-slope T-point i/k-index (shelf) iid = ji + MAX( 0, mgrhu(ji,jj) ) ; iis = ji + 1 - MAX( 0, mgrhu(ji,jj) ) ikud = mbku_d(ji,jj) ; ikus = mbku(ji,jj) ! ! ! mid-depth density anomalie (up-slope minus down-slope) zt = 0.5 * ( ztb (ji,jj) + ztb (ji+1,jj) ) ! mid slope depth of T, S, and depth zs = 0.5 * ( zsb (ji,jj) + zsb (ji+1,jj) ) - 35.0 zh = 0.5 * ( zdep(ji,jj) + zdep(ji+1,jj) ) zgdrho = fsbeta( zt, zs, zh ) & & * ( fsalbt( zt, zs, zh ) * ( ztb(iid,jj) - ztb(iis,jj) ) & & - ( zsb(iid,jj) - zsb(iis,jj) ) ) * umask(ji,jj,1) zgdrho = MAX( 0.e0, zgdrho ) ! only if shelf is denser than deep ! ! ! bbl transport (down-slope direction) utr_bbl(ji,jj) = e2u(ji,jj) * e3u_bbl_0(ji,jj) * zgbbl * zgdrho * REAL( mgrhu(ji,jj) ) ! ! ! j-direction ! down-slope T-point j/k-index (deep) & of the up -slope T-point j/k-index (shelf) ijd = jj + MAX( 0, mgrhv(ji,jj) ) ; ijs = jj + 1 - MAX( 0, mgrhv(ji,jj) ) ikvd = mbkv_d(ji,jj) ; ikvs = mbkv(ji,jj) ! ! ! mid-depth density anomalie (up-slope minus down-slope) zt = 0.5 * ( ztb (ji,jj) + ztb (ji,jj+1) ) ! mid slope depth of T, S, and depth zs = 0.5 * ( zsb (ji,jj) + zsb (ji,jj+1) ) - 35.0 zh = 0.5 * ( zdep(ji,jj) + zdep(ji,jj+1) ) zgdrho = fsbeta( zt, zs, zh ) & & * ( fsalbt( zt, zs, zh ) * ( ztb(ji,ijd) - ztb(ji,ijs) ) & & - ( zsb(ji,ijd) - zsb(ji,ijs) ) ) * vmask(ji,jj,1) zgdrho = MAX( 0.e0, zgdrho ) ! only if shelf is denser than deep ! ! ! bbl transport (down-slope direction) vtr_bbl(ji,jj) = e1v(ji,jj) * e3v_bbl_0(ji,jj) * zgbbl * zgdrho * REAL( mgrhv(ji,jj) ) END DO END DO END SELECT ! ENDIF ! CALL wrk_dealloc( jpi, jpj, zub, zvb, ztb, zsb, zdep ) ! IF( nn_timing == 1 ) CALL timing_stop( 'bbl') ! END SUBROUTINE bbl SUBROUTINE tra_bbl_init !!---------------------------------------------------------------------- !! *** ROUTINE tra_bbl_init *** !! !! ** Purpose : Initialization for the bottom boundary layer scheme. !! !! ** Method : Read the nambbl namelist and check the parameters !! called by nemo_init at the first timestep (kit000) !!---------------------------------------------------------------------- INTEGER :: ji, jj ! dummy loop indices INTEGER :: ii0, ii1, ij0, ij1 ! temporary integer REAL(wp), POINTER, DIMENSION(:,:) :: zmbk !! NAMELIST/nambbl/ nn_bbl_ldf, nn_bbl_adv, rn_ahtbbl, rn_gambbl !!---------------------------------------------------------------------- ! IF( nn_timing == 1 ) CALL timing_start( 'tra_bbl_init') ! CALL wrk_alloc( jpi, jpj, zmbk ) ! REWIND ( numnam ) !* Read Namelist nambbl : bottom boundary layer scheme READ ( numnam, nambbl ) ! l_bbl = .TRUE. !* flag to compute bbl coef and transport ! IF(lwp) THEN !* Parameter control and print WRITE(numout,*) WRITE(numout,*) 'tra_bbl_init : bottom boundary layer initialisation' WRITE(numout,*) '~~~~~~~~~~~~' WRITE(numout,*) ' Namelist nambbl : set bbl parameters' WRITE(numout,*) ' diffusive bbl (=1) or not (=0) nn_bbl_ldf = ', nn_bbl_ldf WRITE(numout,*) ' advective bbl (=1/2) or not (=0) nn_bbl_adv = ', nn_bbl_adv WRITE(numout,*) ' diffusive bbl coefficient rn_ahtbbl = ', rn_ahtbbl, ' m2/s' WRITE(numout,*) ' advective bbl coefficient rn_gambbl = ', rn_gambbl, ' s' ENDIF ! ! allocate trabbl arrays IF( tra_bbl_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'tra_bbl_init : unable to allocate arrays' ) IF( nn_bbl_adv == 1 ) WRITE(numout,*) ' * Advective BBL using upper velocity' IF( nn_bbl_adv == 2 ) WRITE(numout,*) ' * Advective BBL using velocity = F( delta rho)' IF( nn_eos /= 0 ) CALL ctl_stop ( ' bbl parameterisation requires eos = 0. We stop.' ) ! !* inverse of surface of T-cells r1_e1e2t(:,:) = 1._wp / ( e1t(:,:) * e2t(:,:) ) ! !* vertical index of "deep" bottom u- and v-points DO jj = 1, jpjm1 ! (the "shelf" bottom k-indices are mbku and mbkv) DO ji = 1, jpim1 mbku_d(ji,jj) = MAX( mbkt(ji+1,jj ) , mbkt(ji,jj) ) ! >= 1 as mbkt=1 over land mbkv_d(ji,jj) = MAX( mbkt(ji ,jj+1) , mbkt(ji,jj) ) END DO END DO ! converte into REAL to use lbc_lnk ; impose a min value of 1 as a zero can be set in lbclnk zmbk(:,:) = REAL( mbku_d(:,:), wp ) ; CALL lbc_lnk(zmbk,'U',1.) ; mbku_d(:,:) = MAX( INT( zmbk(:,:) ), 1 ) zmbk(:,:) = REAL( mbkv_d(:,:), wp ) ; CALL lbc_lnk(zmbk,'V',1.) ; mbkv_d(:,:) = MAX( INT( zmbk(:,:) ), 1 ) !* sign of grad(H) at u- and v-points mgrhu(jpi,:) = 0. ; mgrhu(:,jpj) = 0. ; mgrhv(jpi,:) = 0. ; mgrhv(:,jpj) = 0. DO jj = 1, jpjm1 DO ji = 1, jpim1 mgrhu(ji,jj) = INT( SIGN( 1.e0, fsdept_0(ji+1,jj,mbkt(ji+1,jj)) - fsdept_0(ji,jj,mbkt(ji,jj)) ) ) mgrhv(ji,jj) = INT( SIGN( 1.e0, fsdept_0(ji,jj+1,mbkt(ji,jj+1)) - fsdept_0(ji,jj,mbkt(ji,jj)) ) ) END DO END DO DO jj = 1, jpjm1 !* bbl thickness at u- (v-) point DO ji = 1, jpim1 ! minimum of top & bottom e3u_0 (e3v_0) e3u_bbl_0(ji,jj) = MIN( fse3u_0(ji,jj,mbkt(ji+1,jj )), fse3u_0(ji,jj,mbkt(ji,jj)) ) e3v_bbl_0(ji,jj) = MIN( fse3v_0(ji,jj,mbkt(ji ,jj+1)), fse3v_0(ji,jj,mbkt(ji,jj)) ) END DO END DO CALL lbc_lnk( e3u_bbl_0, 'U', 1. ) ; CALL lbc_lnk( e3v_bbl_0, 'V', 1. ) ! lateral boundary conditions ! !* masked diffusive flux coefficients ahu_bbl_0(:,:) = rn_ahtbbl * e2u(:,:) * e3u_bbl_0(:,:) / e1u(:,:) * umask(:,:,1) ahv_bbl_0(:,:) = rn_ahtbbl * e1v(:,:) * e3v_bbl_0(:,:) / e2v(:,:) * vmask(:,:,1) IF( cp_cfg == "orca" ) THEN !* ORCA configuration : regional enhancement of ah_bbl ! SELECT CASE ( jp_cfg ) CASE ( 2 ) ! ORCA_R2 ij0 = 102 ; ij1 = 102 ! Gibraltar enhancement of BBL ii0 = 139 ; ii1 = 140 ahu_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) = 4.e0*ahu_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) ahv_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) = 4.e0*ahv_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) ! ij0 = 88 ; ij1 = 88 ! Red Sea enhancement of BBL ii0 = 161 ; ii1 = 162 ahu_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) = 10.e0*ahu_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) ahv_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) = 10.e0*ahv_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) ! CASE ( 4 ) ! ORCA_R4 ij0 = 52 ; ij1 = 52 ! Gibraltar enhancement of BBL ii0 = 70 ; ii1 = 71 ahu_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) = 4.e0*ahu_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) ahv_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) = 4.e0*ahv_bbl_0(mi0(ii0):mi1(ii1),mj0(ij0):mj1(ij1)) END SELECT ! ENDIF ! CALL wrk_dealloc( jpi, jpj, zmbk ) ! IF( nn_timing == 1 ) CALL timing_stop( 'tra_bbl_init') ! END SUBROUTINE tra_bbl_init #else !!---------------------------------------------------------------------- !! Dummy module : No bottom boundary layer scheme !!---------------------------------------------------------------------- LOGICAL, PUBLIC, PARAMETER :: lk_trabbl = .FALSE. !: bbl flag CONTAINS SUBROUTINE tra_bbl_init ! Dummy routine END SUBROUTINE tra_bbl_init SUBROUTINE tra_bbl( kt ) ! Dummy routine WRITE(*,*) 'tra_bbl: You should not have seen this print! error?', kt END SUBROUTINE tra_bbl #endif !!====================================================================== END MODULE trabbl