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 | !! - ! 2010-11 (G. Madec) add mbk. arrays associated to the deepest ocean level |
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14 | !! - ! 2013-04 (F. Roquet, G. Madec) use of eosbn2 instead of local hard coded alpha and beta |
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15 | !! 4.0 ! 2017-04 (G. Madec) ln_trabbl namelist variable instead of a CPP key |
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16 | !!---------------------------------------------------------------------- |
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17 | |
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18 | !!---------------------------------------------------------------------- |
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19 | !! tra_bbl_alloc : allocate trabbl arrays |
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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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25 | !!---------------------------------------------------------------------- |
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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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30 | USE trd_oce ! trends: ocean variables |
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31 | USE trdtra ! trends: active tracers |
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32 | ! |
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33 | USE iom ! IOM library |
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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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37 | USE timing ! Timing |
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38 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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39 | |
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40 | IMPLICIT NONE |
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41 | PRIVATE |
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42 | |
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43 | PUBLIC tra_bbl ! routine called by step.F90 |
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44 | PUBLIC tra_bbl_init ! routine called by nemogcm.F90 |
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45 | PUBLIC tra_bbl_dif ! routine called by trcbbl.F90 |
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46 | PUBLIC tra_bbl_adv ! - - - |
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47 | PUBLIC bbl ! routine called by trcbbl.F90 and dtadyn.F90 |
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48 | |
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49 | ! !!* Namelist nambbl * |
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50 | LOGICAL , PUBLIC :: ln_trabbl !: bottom boundary layer flag |
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51 | INTEGER , PUBLIC :: nn_bbl_ldf !: =1 : diffusive bbl or not (=0) |
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52 | INTEGER , PUBLIC :: nn_bbl_adv !: =1/2 : advective bbl or not (=0) |
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53 | ! ! =1 : advective bbl using the bottom ocean velocity |
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54 | ! ! =2 : - - using utr_bbl proportional to grad(rho) |
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55 | REAL(wp), PUBLIC :: rn_ahtbbl !: along slope bbl diffusive coefficient [m2/s] |
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56 | REAL(wp), PUBLIC :: rn_gambbl !: lateral coeff. for bottom boundary layer scheme [s] |
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57 | |
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58 | LOGICAL , PUBLIC :: l_bbl !: flag to compute bbl diffu. flux coef and transport |
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59 | |
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60 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:), PUBLIC :: utr_bbl , vtr_bbl ! u- (v-) transport in the bottom boundary layer |
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61 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:), PUBLIC :: ahu_bbl , ahv_bbl ! masked diffusive bbl coeff. at u & v-pts |
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62 | |
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63 | 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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64 | INTEGER , ALLOCATABLE, SAVE, DIMENSION(:,:), PUBLIC :: mgrhu , mgrhv ! = +/-1, sign of grad(H) in u-(v-)direction (PUBLIC for TAM) |
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65 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ahu_bbl_0, ahv_bbl_0 ! diffusive bbl flux coefficients at u and v-points |
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66 | 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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67 | |
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68 | !! * Substitutions |
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69 | # include "do_loop_substitute.h90" |
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70 | # include "domzgr_substitute.h90" |
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71 | !!---------------------------------------------------------------------- |
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72 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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73 | !! $Id$ |
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74 | !! Software governed by the CeCILL license (see ./LICENSE) |
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75 | !!---------------------------------------------------------------------- |
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76 | CONTAINS |
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77 | |
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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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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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86 | ! |
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87 | CALL mpp_sum ( 'trabbl', 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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92 | SUBROUTINE tra_bbl( kt, Kbb, Kmm, pts, Krhs ) |
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93 | !!---------------------------------------------------------------------- |
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94 | !! *** ROUTINE bbl *** |
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95 | !! |
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96 | !! ** Purpose : Compute the before tracer (t & s) trend associated |
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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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99 | !! |
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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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103 | !!---------------------------------------------------------------------- |
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104 | INTEGER, INTENT(in ) :: kt ! ocean time-step |
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105 | INTEGER, INTENT(in ) :: Kbb, Kmm, Krhs ! time level indices |
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106 | REAL(wp), DIMENSION(jpi,jpj,jpk,jpts,jpt), INTENT(inout) :: pts ! active tracers and RHS of tracer equation |
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107 | ! |
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108 | INTEGER :: ji, jj, jk ! Dummy loop indices |
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109 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: ztrdt, ztrds |
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110 | !!---------------------------------------------------------------------- |
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111 | ! |
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112 | IF( ln_timing ) CALL timing_start( 'tra_bbl') |
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113 | ! |
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114 | IF( l_trdtra ) THEN !* Save the T-S input trends |
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115 | ALLOCATE( ztrdt(jpi,jpj,jpk), ztrds(jpi,jpj,jpk) ) |
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116 | ztrdt(:,:,:) = pts(:,:,:,jp_tem,Krhs) |
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117 | ztrds(:,:,:) = pts(:,:,:,jp_sal,Krhs) |
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118 | ENDIF |
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119 | |
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120 | IF( l_bbl ) CALL bbl( kt, nit000, 'TRA', Kbb, Kmm ) !* bbl coef. and transport (only if not already done in trcbbl) |
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121 | |
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122 | IF( nn_bbl_ldf == 1 ) THEN !* Diffusive bbl |
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123 | ! |
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124 | CALL tra_bbl_dif( pts(:,:,:,:,Kbb), pts(:,:,:,:,Krhs), jpts, Kmm ) |
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125 | IF( sn_cfctl%l_prtctl ) & |
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126 | CALL prt_ctl( tab3d_1=pts(:,:,:,jp_tem,Krhs), clinfo1=' bbl_ldf - Ta: ', mask1=tmask, & |
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127 | & tab3d_2=pts(:,:,:,jp_sal,Krhs), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
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128 | CALL iom_put( "ahu_bbl", ahu_bbl ) ! bbl diffusive flux i-coef |
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129 | CALL iom_put( "ahv_bbl", ahv_bbl ) ! bbl diffusive flux j-coef |
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130 | ! |
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131 | ENDIF |
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132 | ! |
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133 | IF( nn_bbl_adv /= 0 ) THEN !* Advective bbl |
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134 | ! |
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135 | CALL tra_bbl_adv( pts(:,:,:,:,Kbb), pts(:,:,:,:,Krhs), jpts, Kmm ) |
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136 | IF(sn_cfctl%l_prtctl) & |
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137 | CALL prt_ctl( tab3d_1=pts(:,:,:,jp_tem,Krhs), clinfo1=' bbl_adv - Ta: ', mask1=tmask, & |
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138 | & tab3d_2=pts(:,:,:,jp_sal,Krhs), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
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139 | IF( .NOT. l_istiled .OR. ntile == nijtile ) THEN ! Do only on the last tile |
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140 | ! lateral boundary conditions ; just need for outputs |
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141 | CALL lbc_lnk( 'trabbl', utr_bbl, 'U', 1.0_wp , vtr_bbl, 'V', 1.0_wp ) |
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142 | ENDIF |
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143 | CALL iom_put( "uoce_bbl", utr_bbl ) ! bbl i-transport |
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144 | CALL iom_put( "voce_bbl", vtr_bbl ) ! bbl j-transport |
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145 | ! |
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146 | ENDIF |
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147 | |
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148 | IF( l_trdtra ) THEN ! send the trends for further diagnostics |
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149 | ztrdt(:,:,:) = pts(:,:,:,jp_tem,Krhs) - ztrdt(:,:,:) |
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150 | ztrds(:,:,:) = pts(:,:,:,jp_sal,Krhs) - ztrds(:,:,:) |
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151 | CALL trd_tra( kt, Kmm, Krhs, 'TRA', jp_tem, jptra_bbl, ztrdt ) |
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152 | CALL trd_tra( kt, Kmm, Krhs, 'TRA', jp_sal, jptra_bbl, ztrds ) |
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153 | DEALLOCATE( ztrdt, ztrds ) |
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154 | ENDIF |
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155 | ! |
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156 | IF( ln_timing ) CALL timing_stop( 'tra_bbl') |
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157 | ! |
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158 | END SUBROUTINE tra_bbl |
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159 | |
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160 | |
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161 | SUBROUTINE tra_bbl_dif( pt, pt_rhs, kjpt, Kmm ) |
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162 | !!---------------------------------------------------------------------- |
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163 | !! *** ROUTINE tra_bbl_dif *** |
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164 | !! |
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165 | !! ** Purpose : Computes the bottom boundary horizontal and vertical |
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166 | !! advection terms. |
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167 | !! |
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168 | !! ** Method : * diffusive bbl only (nn_bbl_ldf=1) : |
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169 | !! When the product grad( rho) * grad(h) < 0 (where grad is an |
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170 | !! along bottom slope gradient) an additional lateral 2nd order |
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171 | !! diffusion along the bottom slope is added to the general |
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172 | !! tracer trend, otherwise the additional trend is set to 0. |
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173 | !! A typical value of ahbt is 2000 m2/s (equivalent to |
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174 | !! a downslope velocity of 20 cm/s if the condition for slope |
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175 | !! convection is satified) |
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176 | !! |
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177 | !! ** Action : pt_rhs increased by the bbl diffusive trend |
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178 | !! |
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179 | !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. |
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180 | !! Campin, J.-M., and H. Goosse, 1999, Tellus, 412-430. |
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181 | !!---------------------------------------------------------------------- |
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182 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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183 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: pt ! before and now tracer fields |
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184 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pt_rhs ! tracer trend |
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185 | INTEGER , INTENT(in ) :: Kmm ! time level indices |
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186 | ! |
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187 | INTEGER :: ji, jj, jn ! dummy loop indices |
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188 | INTEGER :: ik ! local integers |
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189 | REAL(wp) :: zbtr ! local scalars |
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190 | REAL(wp), DIMENSION(A2D(nn_hls)) :: zptb ! workspace |
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191 | !!---------------------------------------------------------------------- |
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192 | ! |
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193 | DO jn = 1, kjpt ! tracer loop |
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194 | ! ! =========== |
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195 | DO_2D( 1, 1, 1, 1 ) |
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196 | ik = mbkt(ji,jj) ! bottom T-level index |
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197 | zptb(ji,jj) = pt(ji,jj,ik,jn) ! bottom before T and S |
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198 | END_2D |
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199 | ! |
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200 | DO_2D( 0, 0, 0, 0 ) ! Compute the trend |
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201 | ik = mbkt(ji,jj) ! bottom T-level index |
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202 | pt_rhs(ji,jj,ik,jn) = pt_rhs(ji,jj,ik,jn) & |
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203 | & + ( ahu_bbl(ji ,jj ) * ( zptb(ji+1,jj ) - zptb(ji ,jj ) ) & |
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204 | & - ahu_bbl(ji-1,jj ) * ( zptb(ji ,jj ) - zptb(ji-1,jj ) ) & |
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205 | & + ahv_bbl(ji ,jj ) * ( zptb(ji ,jj+1) - zptb(ji ,jj ) ) & |
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206 | & - ahv_bbl(ji ,jj-1) * ( zptb(ji ,jj ) - zptb(ji ,jj-1) ) ) & |
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207 | & * r1_e1e2t(ji,jj) / e3t(ji,jj,ik,Kmm) |
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208 | END_2D |
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209 | ! ! =========== |
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210 | END DO ! end tracer |
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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 | |
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215 | SUBROUTINE tra_bbl_adv( pt, pt_rhs, kjpt, Kmm ) |
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216 | !!---------------------------------------------------------------------- |
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217 | !! *** ROUTINE trc_bbl *** |
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218 | !! |
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219 | !! ** Purpose : Compute the before passive tracer trend associated |
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220 | !! with the bottom boundary layer and add it to the general trend |
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221 | !! of tracer equations. |
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222 | !! ** Method : advective bbl (nn_bbl_adv = 1 or 2) : |
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223 | !! nn_bbl_adv = 1 use of the ocean near bottom velocity as bbl velocity |
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224 | !! nn_bbl_adv = 2 follow Campin and Goosse (1999) implentation i.e. |
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225 | !! transport proportional to the along-slope density gradient |
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226 | !! |
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227 | !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. |
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228 | !! Campin, J.-M., and H. Goosse, 1999, Tellus, 412-430. |
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229 | !!---------------------------------------------------------------------- |
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230 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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231 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: pt ! before and now tracer fields |
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232 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pt_rhs ! tracer trend |
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233 | INTEGER , INTENT(in ) :: Kmm ! time level indices |
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234 | ! |
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235 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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236 | INTEGER :: iis , iid , ijs , ijd ! local integers |
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237 | INTEGER :: ikus, ikud, ikvs, ikvd ! - - |
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238 | REAL(wp) :: zbtr, ztra ! local scalars |
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239 | REAL(wp) :: zu_bbl, zv_bbl ! - - |
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240 | !!---------------------------------------------------------------------- |
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241 | ! ! =========== |
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242 | DO jn = 1, kjpt ! tracer loop |
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243 | ! ! =========== |
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244 | DO_2D_OVR( 1, 0, 1, 0 ) ! CAUTION start from i=1 to update i=2 when cyclic east-west |
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245 | IF( utr_bbl(ji,jj) /= 0.e0 ) THEN ! non-zero i-direction bbl advection |
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246 | ! down-slope i/k-indices (deep) & up-slope i/k indices (shelf) |
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247 | iid = ji + MAX( 0, mgrhu(ji,jj) ) ; iis = ji + 1 - MAX( 0, mgrhu(ji,jj) ) |
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248 | ikud = mbku_d(ji,jj) ; ikus = mbku(ji,jj) |
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249 | zu_bbl = ABS( utr_bbl(ji,jj) ) |
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250 | ! |
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251 | ! ! up -slope T-point (shelf bottom point) |
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252 | zbtr = r1_e1e2t(iis,jj) / e3t(iis,jj,ikus,Kmm) |
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253 | ztra = zu_bbl * ( pt(iid,jj,ikus,jn) - pt(iis,jj,ikus,jn) ) * zbtr |
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254 | pt_rhs(iis,jj,ikus,jn) = pt_rhs(iis,jj,ikus,jn) + ztra |
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255 | ! |
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256 | DO jk = ikus, ikud-1 ! down-slope upper to down T-point (deep column) |
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257 | zbtr = r1_e1e2t(iid,jj) / e3t(iid,jj,jk,Kmm) |
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258 | ztra = zu_bbl * ( pt(iid,jj,jk+1,jn) - pt(iid,jj,jk,jn) ) * zbtr |
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259 | pt_rhs(iid,jj,jk,jn) = pt_rhs(iid,jj,jk,jn) + ztra |
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260 | END DO |
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261 | ! |
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262 | zbtr = r1_e1e2t(iid,jj) / e3t(iid,jj,ikud,Kmm) |
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263 | ztra = zu_bbl * ( pt(iis,jj,ikus,jn) - pt(iid,jj,ikud,jn) ) * zbtr |
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264 | pt_rhs(iid,jj,ikud,jn) = pt_rhs(iid,jj,ikud,jn) + ztra |
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265 | ENDIF |
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266 | ! |
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267 | IF( vtr_bbl(ji,jj) /= 0.e0 ) THEN ! non-zero j-direction bbl advection |
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268 | ! down-slope j/k-indices (deep) & up-slope j/k indices (shelf) |
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269 | ijd = jj + MAX( 0, mgrhv(ji,jj) ) ; ijs = jj + 1 - MAX( 0, mgrhv(ji,jj) ) |
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270 | ikvd = mbkv_d(ji,jj) ; ikvs = mbkv(ji,jj) |
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271 | zv_bbl = ABS( vtr_bbl(ji,jj) ) |
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272 | ! |
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273 | ! up -slope T-point (shelf bottom point) |
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274 | zbtr = r1_e1e2t(ji,ijs) / e3t(ji,ijs,ikvs,Kmm) |
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275 | ztra = zv_bbl * ( pt(ji,ijd,ikvs,jn) - pt(ji,ijs,ikvs,jn) ) * zbtr |
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276 | pt_rhs(ji,ijs,ikvs,jn) = pt_rhs(ji,ijs,ikvs,jn) + ztra |
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277 | ! |
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278 | DO jk = ikvs, ikvd-1 ! down-slope upper to down T-point (deep column) |
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279 | zbtr = r1_e1e2t(ji,ijd) / e3t(ji,ijd,jk,Kmm) |
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280 | ztra = zv_bbl * ( pt(ji,ijd,jk+1,jn) - pt(ji,ijd,jk,jn) ) * zbtr |
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281 | pt_rhs(ji,ijd,jk,jn) = pt_rhs(ji,ijd,jk,jn) + ztra |
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282 | END DO |
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283 | ! ! down-slope T-point (deep bottom point) |
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284 | zbtr = r1_e1e2t(ji,ijd) / e3t(ji,ijd,ikvd,Kmm) |
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285 | ztra = zv_bbl * ( pt(ji,ijs,ikvs,jn) - pt(ji,ijd,ikvd,jn) ) * zbtr |
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286 | pt_rhs(ji,ijd,ikvd,jn) = pt_rhs(ji,ijd,ikvd,jn) + ztra |
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287 | ENDIF |
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288 | END_2D |
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289 | ! ! =========== |
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290 | END DO ! end tracer |
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291 | ! ! =========== |
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292 | END SUBROUTINE tra_bbl_adv |
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293 | |
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294 | |
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295 | SUBROUTINE bbl( kt, kit000, cdtype, Kbb, Kmm ) |
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296 | !!---------------------------------------------------------------------- |
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297 | !! *** ROUTINE bbl *** |
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298 | !! |
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299 | !! ** Purpose : Computes the bottom boundary horizontal and vertical |
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300 | !! advection terms. |
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301 | !! |
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302 | !! ** Method : * diffusive bbl (nn_bbl_ldf=1) : |
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303 | !! When the product grad( rho) * grad(h) < 0 (where grad is an |
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304 | !! along bottom slope gradient) an additional lateral 2nd order |
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305 | !! diffusion along the bottom slope is added to the general |
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306 | !! tracer trend, otherwise the additional trend is set to 0. |
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307 | !! A typical value of ahbt is 2000 m2/s (equivalent to |
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308 | !! a downslope velocity of 20 cm/s if the condition for slope |
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309 | !! convection is satified) |
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310 | !! * advective bbl (nn_bbl_adv=1 or 2) : |
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311 | !! nn_bbl_adv = 1 use of the ocean velocity as bbl velocity |
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312 | !! nn_bbl_adv = 2 follow Campin and Goosse (1999) implentation |
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313 | !! i.e. transport proportional to the along-slope density gradient |
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314 | !! |
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315 | !! NB: the along slope density gradient is evaluated using the |
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316 | !! local density (i.e. referenced at a common local depth). |
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317 | !! |
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318 | !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. |
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319 | !! Campin, J.-M., and H. Goosse, 1999, Tellus, 412-430. |
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320 | !!---------------------------------------------------------------------- |
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321 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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322 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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323 | CHARACTER(len=3), INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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324 | INTEGER , INTENT(in ) :: Kbb, Kmm ! ocean time level index |
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325 | ! |
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326 | INTEGER :: ji, jj ! dummy loop indices |
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327 | INTEGER :: ik ! local integers |
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328 | INTEGER :: iis, iid, ikus, ikud ! - - |
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329 | INTEGER :: ijs, ijd, ikvs, ikvd ! - - |
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330 | REAL(wp) :: za, zb, zgdrho ! local scalars |
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331 | REAL(wp) :: zsign, zsigna, zgbbl ! - - |
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332 | REAL(wp), DIMENSION(A2D(nn_hls),jpts) :: zts, zab ! 3D workspace |
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333 | REAL(wp), DIMENSION(A2D(nn_hls)) :: zub, zvb, zdep ! 2D workspace |
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334 | !!---------------------------------------------------------------------- |
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335 | ! |
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336 | IF( .NOT. l_istiled .OR. ntile == 1 ) THEN ! Do only on the first tile |
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337 | IF( kt == kit000 ) THEN |
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338 | IF(lwp) WRITE(numout,*) |
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339 | IF(lwp) WRITE(numout,*) 'trabbl:bbl : Compute bbl velocities and diffusive coefficients in ', cdtype |
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340 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~' |
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341 | ENDIF |
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342 | ENDIF |
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343 | ! !* bottom variables (T, S, alpha, beta, depth, velocity) |
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344 | DO_2D( 1, 1, 1, 1 ) |
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345 | ik = mbkt(ji,jj) ! bottom T-level index |
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346 | zts (ji,jj,jp_tem) = ts(ji,jj,ik,jp_tem,Kbb) ! bottom before T and S |
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347 | zts (ji,jj,jp_sal) = ts(ji,jj,ik,jp_sal,Kbb) |
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348 | ! |
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349 | zdep(ji,jj) = gdept(ji,jj,ik,Kmm) ! bottom T-level reference depth |
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350 | zub (ji,jj) = uu(ji,jj,mbku(ji,jj),Kmm) ! bottom velocity |
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351 | zvb (ji,jj) = vv(ji,jj,mbkv(ji,jj),Kmm) |
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352 | END_2D |
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353 | ! |
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354 | CALL eos_rab( zts, zdep, zab, Kmm ) |
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355 | ! |
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356 | ! !-------------------! |
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357 | IF( nn_bbl_ldf == 1 ) THEN ! diffusive bbl ! |
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358 | ! !-------------------! |
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359 | DO_2D( 1, 0, 1, 0 ) ! (criteria for non zero flux: grad(rho).grad(h) < 0 ) |
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360 | ! ! i-direction |
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361 | za = zab(ji+1,jj,jp_tem) + zab(ji,jj,jp_tem) ! 2*(alpha,beta) at u-point |
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362 | zb = zab(ji+1,jj,jp_sal) + zab(ji,jj,jp_sal) |
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363 | ! ! 2*masked bottom density gradient |
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364 | zgdrho = ( za * ( zts(ji+1,jj,jp_tem) - zts(ji,jj,jp_tem) ) & |
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365 | & - zb * ( zts(ji+1,jj,jp_sal) - zts(ji,jj,jp_sal) ) ) * umask(ji,jj,1) |
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366 | ! |
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367 | zsign = SIGN( 0.5_wp, -zgdrho * REAL( mgrhu(ji,jj) ) ) ! sign of ( i-gradient * i-slope ) |
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368 | ahu_bbl(ji,jj) = ( 0.5 - zsign ) * ahu_bbl_0(ji,jj) ! masked diffusive flux coeff. |
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369 | ! |
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370 | ! ! j-direction |
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371 | za = zab(ji,jj+1,jp_tem) + zab(ji,jj,jp_tem) ! 2*(alpha,beta) at v-point |
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372 | zb = zab(ji,jj+1,jp_sal) + zab(ji,jj,jp_sal) |
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373 | ! ! 2*masked bottom density gradient |
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374 | zgdrho = ( za * ( zts(ji,jj+1,jp_tem) - zts(ji,jj,jp_tem) ) & |
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375 | & - zb * ( zts(ji,jj+1,jp_sal) - zts(ji,jj,jp_sal) ) ) * vmask(ji,jj,1) |
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376 | ! |
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377 | zsign = SIGN( 0.5_wp, -zgdrho * REAL( mgrhv(ji,jj) ) ) ! sign of ( j-gradient * j-slope ) |
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378 | ahv_bbl(ji,jj) = ( 0.5 - zsign ) * ahv_bbl_0(ji,jj) |
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379 | END_2D |
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380 | ! |
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381 | ENDIF |
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382 | ! |
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383 | ! !-------------------! |
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384 | IF( nn_bbl_adv /= 0 ) THEN ! advective bbl ! |
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385 | ! !-------------------! |
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386 | SELECT CASE ( nn_bbl_adv ) !* bbl transport type |
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387 | ! |
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388 | CASE( 1 ) != use of upper velocity |
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389 | DO_2D( 1, 0, 1, 0 ) ! criteria: grad(rho).grad(h)<0 and grad(rho).grad(h)<0 |
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390 | ! ! i-direction |
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391 | za = zab(ji+1,jj,jp_tem) + zab(ji,jj,jp_tem) ! 2*(alpha,beta) at u-point |
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392 | zb = zab(ji+1,jj,jp_sal) + zab(ji,jj,jp_sal) |
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393 | ! ! 2*masked bottom density gradient |
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394 | zgdrho = ( za * ( zts(ji+1,jj,jp_tem) - zts(ji,jj,jp_tem) ) & |
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395 | - zb * ( zts(ji+1,jj,jp_sal) - zts(ji,jj,jp_sal) ) ) * umask(ji,jj,1) |
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396 | ! |
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397 | zsign = SIGN( 0.5_wp, - zgdrho * REAL( mgrhu(ji,jj) ) ) ! sign of i-gradient * i-slope |
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398 | zsigna= SIGN( 0.5_wp, zub(ji,jj) * REAL( mgrhu(ji,jj) ) ) ! sign of u * i-slope |
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399 | ! |
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400 | ! ! bbl velocity |
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401 | 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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402 | ! |
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403 | ! ! j-direction |
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404 | za = zab(ji,jj+1,jp_tem) + zab(ji,jj,jp_tem) ! 2*(alpha,beta) at v-point |
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405 | zb = zab(ji,jj+1,jp_sal) + zab(ji,jj,jp_sal) |
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406 | ! ! 2*masked bottom density gradient |
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407 | zgdrho = ( za * ( zts(ji,jj+1,jp_tem) - zts(ji,jj,jp_tem) ) & |
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408 | & - zb * ( zts(ji,jj+1,jp_sal) - zts(ji,jj,jp_sal) ) ) * vmask(ji,jj,1) |
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409 | zsign = SIGN( 0.5_wp, - zgdrho * REAL( mgrhv(ji,jj) ) ) ! sign of j-gradient * j-slope |
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410 | zsigna= SIGN( 0.5_wp, zvb(ji,jj) * REAL( mgrhv(ji,jj) ) ) ! sign of u * i-slope |
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411 | ! |
---|
412 | ! ! bbl transport |
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413 | 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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414 | END_2D |
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415 | ! |
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416 | CASE( 2 ) != bbl velocity = F( delta rho ) |
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417 | zgbbl = grav * rn_gambbl |
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418 | DO_2D( 1, 0, 1, 0 ) ! criteria: rho_up > rho_down |
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419 | ! ! i-direction |
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420 | ! down-slope T-point i/k-index (deep) & up-slope T-point i/k-index (shelf) |
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421 | iid = ji + MAX( 0, mgrhu(ji,jj) ) |
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422 | iis = ji + 1 - MAX( 0, mgrhu(ji,jj) ) |
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423 | ! |
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424 | ikud = mbku_d(ji,jj) |
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425 | ikus = mbku(ji,jj) |
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426 | ! |
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427 | za = zab(ji+1,jj,jp_tem) + zab(ji,jj,jp_tem) ! 2*(alpha,beta) at u-point |
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428 | zb = zab(ji+1,jj,jp_sal) + zab(ji,jj,jp_sal) |
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429 | ! ! masked bottom density gradient |
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430 | zgdrho = 0.5 * ( za * ( zts(iid,jj,jp_tem) - zts(iis,jj,jp_tem) ) & |
---|
431 | & - zb * ( zts(iid,jj,jp_sal) - zts(iis,jj,jp_sal) ) ) * umask(ji,jj,1) |
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432 | zgdrho = MAX( 0.e0, zgdrho ) ! only if shelf is denser than deep |
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433 | ! |
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434 | ! ! bbl transport (down-slope direction) |
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435 | utr_bbl(ji,jj) = e2u(ji,jj) * e3u_bbl_0(ji,jj) * zgbbl * zgdrho * REAL( mgrhu(ji,jj) ) |
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436 | ! |
---|
437 | ! ! j-direction |
---|
438 | ! down-slope T-point j/k-index (deep) & of the up -slope T-point j/k-index (shelf) |
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439 | ijd = jj + MAX( 0, mgrhv(ji,jj) ) |
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440 | ijs = jj + 1 - MAX( 0, mgrhv(ji,jj) ) |
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441 | ! |
---|
442 | ikvd = mbkv_d(ji,jj) |
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443 | ikvs = mbkv(ji,jj) |
---|
444 | ! |
---|
445 | za = zab(ji,jj+1,jp_tem) + zab(ji,jj,jp_tem) ! 2*(alpha,beta) at v-point |
---|
446 | zb = zab(ji,jj+1,jp_sal) + zab(ji,jj,jp_sal) |
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447 | ! ! masked bottom density gradient |
---|
448 | zgdrho = 0.5 * ( za * ( zts(ji,ijd,jp_tem) - zts(ji,ijs,jp_tem) ) & |
---|
449 | & - zb * ( zts(ji,ijd,jp_sal) - zts(ji,ijs,jp_sal) ) ) * vmask(ji,jj,1) |
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450 | zgdrho = MAX( 0.e0, zgdrho ) ! only if shelf is denser than deep |
---|
451 | ! |
---|
452 | ! ! bbl transport (down-slope direction) |
---|
453 | vtr_bbl(ji,jj) = e1v(ji,jj) * e3v_bbl_0(ji,jj) * zgbbl * zgdrho * REAL( mgrhv(ji,jj) ) |
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454 | END_2D |
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455 | END SELECT |
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456 | ! |
---|
457 | ENDIF |
---|
458 | ! |
---|
459 | END SUBROUTINE bbl |
---|
460 | |
---|
461 | |
---|
462 | SUBROUTINE tra_bbl_init |
---|
463 | !!---------------------------------------------------------------------- |
---|
464 | !! *** ROUTINE tra_bbl_init *** |
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465 | !! |
---|
466 | !! ** Purpose : Initialization for the bottom boundary layer scheme. |
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467 | !! |
---|
468 | !! ** Method : Read the nambbl namelist and check the parameters |
---|
469 | !! called by nemo_init at the first timestep (kit000) |
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470 | !!---------------------------------------------------------------------- |
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471 | INTEGER :: ji, jj ! dummy loop indices |
---|
472 | INTEGER :: ii0, ii1, ij0, ij1, ios ! local integer |
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473 | REAL(wp), DIMENSION(jpi,jpj) :: zmbku, zmbkv ! workspace |
---|
474 | !! |
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475 | NAMELIST/nambbl/ ln_trabbl, nn_bbl_ldf, nn_bbl_adv, rn_ahtbbl, rn_gambbl |
---|
476 | !!---------------------------------------------------------------------- |
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477 | ! |
---|
478 | READ ( numnam_ref, nambbl, IOSTAT = ios, ERR = 901) |
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479 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'nambbl in reference namelist' ) |
---|
480 | ! |
---|
481 | READ ( numnam_cfg, nambbl, IOSTAT = ios, ERR = 902 ) |
---|
482 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'nambbl in configuration namelist' ) |
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483 | IF(lwm) WRITE ( numond, nambbl ) |
---|
484 | ! |
---|
485 | l_bbl = .TRUE. !* flag to compute bbl coef and transport |
---|
486 | ! |
---|
487 | IF(lwp) THEN !* Parameter control and print |
---|
488 | WRITE(numout,*) |
---|
489 | WRITE(numout,*) 'tra_bbl_init : bottom boundary layer initialisation' |
---|
490 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
491 | WRITE(numout,*) ' Namelist nambbl : set bbl parameters' |
---|
492 | WRITE(numout,*) ' bottom boundary layer flag ln_trabbl = ', ln_trabbl |
---|
493 | ENDIF |
---|
494 | IF( .NOT.ln_trabbl ) RETURN |
---|
495 | ! |
---|
496 | IF(lwp) THEN |
---|
497 | WRITE(numout,*) ' diffusive bbl (=1) or not (=0) nn_bbl_ldf = ', nn_bbl_ldf |
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498 | WRITE(numout,*) ' advective bbl (=1/2) or not (=0) nn_bbl_adv = ', nn_bbl_adv |
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499 | WRITE(numout,*) ' diffusive bbl coefficient rn_ahtbbl = ', rn_ahtbbl, ' m2/s' |
---|
500 | WRITE(numout,*) ' advective bbl coefficient rn_gambbl = ', rn_gambbl, ' s' |
---|
501 | ENDIF |
---|
502 | ! |
---|
503 | ! ! allocate trabbl arrays |
---|
504 | IF( tra_bbl_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'tra_bbl_init : unable to allocate arrays' ) |
---|
505 | ! |
---|
506 | IF(lwp) THEN |
---|
507 | IF( nn_bbl_adv == 1 ) WRITE(numout,*) ' * Advective BBL using upper velocity' |
---|
508 | IF( nn_bbl_adv == 2 ) WRITE(numout,*) ' * Advective BBL using velocity = F( delta rho)' |
---|
509 | ENDIF |
---|
510 | ! |
---|
511 | ! !* vertical index of "deep" bottom u- and v-points |
---|
512 | DO_2D( 1, 0, 1, 0 ) ! (the "shelf" bottom k-indices are mbku and mbkv) |
---|
513 | mbku_d(ji,jj) = MAX( mbkt(ji+1,jj ) , mbkt(ji,jj) ) ! >= 1 as mbkt=1 over land |
---|
514 | mbkv_d(ji,jj) = MAX( mbkt(ji ,jj+1) , mbkt(ji,jj) ) |
---|
515 | END_2D |
---|
516 | ! converte into REAL to use lbc_lnk ; impose a min value of 1 as a zero can be set in lbclnk |
---|
517 | zmbku(:,:) = REAL( mbku_d(:,:), wp ) ; zmbkv(:,:) = REAL( mbkv_d(:,:), wp ) |
---|
518 | CALL lbc_lnk( 'trabbl', zmbku,'U',1.0_wp, zmbkv,'V',1.0_wp) |
---|
519 | mbku_d(:,:) = MAX( INT( zmbku(:,:) ), 1 ) ; mbkv_d(:,:) = MAX( NINT( zmbkv(:,:) ), 1 ) |
---|
520 | ! |
---|
521 | ! !* sign of grad(H) at u- and v-points; zero if grad(H) = 0 |
---|
522 | mgrhu(:,:) = 0 ; mgrhv(:,:) = 0 |
---|
523 | DO_2D( 1, 0, 1, 0 ) |
---|
524 | IF( gdept_0(ji+1,jj,mbkt(ji+1,jj)) - gdept_0(ji,jj,mbkt(ji,jj)) /= 0._wp ) THEN |
---|
525 | mgrhu(ji,jj) = INT( SIGN( 1.0_wp, gdept_0(ji+1,jj,mbkt(ji+1,jj)) - gdept_0(ji,jj,mbkt(ji,jj)) ) ) |
---|
526 | ENDIF |
---|
527 | ! |
---|
528 | IF( gdept_0(ji,jj+1,mbkt(ji,jj+1)) - gdept_0(ji,jj,mbkt(ji,jj)) /= 0._wp ) THEN |
---|
529 | mgrhv(ji,jj) = INT( SIGN( 1.0_wp, gdept_0(ji,jj+1,mbkt(ji,jj+1)) - gdept_0(ji,jj,mbkt(ji,jj)) ) ) |
---|
530 | ENDIF |
---|
531 | END_2D |
---|
532 | ! |
---|
533 | DO_2D( 1, 0, 1, 0 ) !* bbl thickness at u- (v-) point; minimum of top & bottom e3u_0 (e3v_0) |
---|
534 | e3u_bbl_0(ji,jj) = MIN( e3u_0(ji,jj,mbkt(ji+1,jj )), e3u_0(ji,jj,mbkt(ji,jj)) ) |
---|
535 | e3v_bbl_0(ji,jj) = MIN( e3v_0(ji,jj,mbkt(ji ,jj+1)), e3v_0(ji,jj,mbkt(ji,jj)) ) |
---|
536 | END_2D |
---|
537 | CALL lbc_lnk( 'trabbl', e3u_bbl_0, 'U', 1.0_wp , e3v_bbl_0, 'V', 1.0_wp ) ! lateral boundary conditions |
---|
538 | ! |
---|
539 | ! !* masked diffusive flux coefficients |
---|
540 | ahu_bbl_0(:,:) = rn_ahtbbl * e2_e1u(:,:) * e3u_bbl_0(:,:) * umask(:,:,1) |
---|
541 | ahv_bbl_0(:,:) = rn_ahtbbl * e1_e2v(:,:) * e3v_bbl_0(:,:) * vmask(:,:,1) |
---|
542 | ! |
---|
543 | END SUBROUTINE tra_bbl_init |
---|
544 | |
---|
545 | !!====================================================================== |
---|
546 | END MODULE trabbl |
---|