1 | MODULE trabbl_tam |
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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 | !! History of the T&A module |
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15 | !! NEMO 3.2 ! 2011-02 (A. Vidard) Original version |
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16 | !! 3.4 ! 2012-09 (A. Vidard) Update to 3.4 |
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17 | !! |
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18 | !!---------------------------------------------------------------------- |
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19 | #if defined key_trabbl || defined key_esopa |
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20 | !!---------------------------------------------------------------------- |
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21 | !! 'key_trabbl' or bottom boundary layer |
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22 | !!---------------------------------------------------------------------- |
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23 | !! tra_bbl_alloc : allocate trabbl arrays |
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24 | !! tra_bbl : update the tracer trends due to the bottom boundary layer (advective and/or diffusive) |
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25 | !! tra_bbl_dif : generic routine to compute bbl diffusive trend |
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26 | !! tra_bbl_adv : generic routine to compute bbl advective trend |
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27 | !! bbl : computation of bbl diffu. flux coef. & transport in bottom boundary layer |
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28 | !! tra_bbl_init : initialization, namelist read, parameters control |
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29 | !!---------------------------------------------------------------------- |
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30 | USE oce ! ocean dynamics and active tracers |
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31 | USE oce_tam |
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32 | USE dom_oce ! ocean space and time domain |
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33 | USE phycst ! physical constant |
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34 | USE eosbn2 ! equation of state |
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35 | USE iom ! IOM server |
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36 | USE in_out_manager ! I/O manager |
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37 | USE lbclnk ! ocean lateral boundary conditions |
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38 | USE prtctl ! Print control |
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39 | USE wrk_nemo ! Memory Allocation |
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40 | USE timing ! Timing |
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41 | USE trabbl |
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42 | USE gridrandom |
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43 | USE dotprodfld |
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44 | USE tstool_tam |
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45 | |
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46 | IMPLICIT NONE |
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47 | PRIVATE |
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48 | |
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49 | PUBLIC tra_bbl_tan ! routine called by step.F90 |
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50 | PUBLIC tra_bbl_init_tam ! routine called by opa.F90 |
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51 | PUBLIC tra_bbl_dif_tan ! routine called by trcbbl.F90 |
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52 | PUBLIC tra_bbl_adv_tan ! - - - - |
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53 | PUBLIC bbl_tan ! routine called by trcbbl.F90 and dtadyn.F90 |
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54 | PUBLIC tra_bbl_adj ! routine called by step.F90 |
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55 | PUBLIC tra_bbl_dif_adj ! routine called by trcbbl.F90 |
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56 | PUBLIC tra_bbl_adv_adj ! - - - - |
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57 | PUBLIC bbl_adj ! routine called by trcbbl.F90 and dtadyn.F90 |
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58 | PUBLIC tra_bbl_adj_tst ! routine called by tamtst |
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59 | |
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60 | REAL(WP), ALLOCATABLE, SAVE, DIMENSION(:,:), PUBLIC :: utr_bbl_tl, vtr_bbl_tl |
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61 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:), PUBLIC :: ahu_bbl_tl, ahv_bbl_tl |
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62 | REAL(WP), ALLOCATABLE, SAVE, DIMENSION(:,:), PUBLIC :: utr_bbl_ad, vtr_bbl_ad |
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63 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:), PUBLIC :: ahu_bbl_ad, ahv_bbl_ad |
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64 | |
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65 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ahu_bbl_0_tl, ahv_bbl_0_tl |
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66 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: ahu_bbl_0_ad, ahv_bbl_0_ad |
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67 | |
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68 | LOGICAL, PRIVATE :: ll_alloctl = .FALSE., ll_allocad = .FALSE. |
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69 | |
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70 | !! * Substitutions |
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71 | # include "domzgr_substitute.h90" |
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72 | # include "vectopt_loop_substitute.h90" |
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73 | !!---------------------------------------------------------------------- |
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74 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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75 | !! $Id$ |
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76 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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77 | !!---------------------------------------------------------------------- |
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78 | CONTAINS |
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79 | |
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80 | INTEGER FUNCTION tra_bbl_alloc_tam( kmode ) |
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81 | !!---------------------------------------------------------------------- |
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82 | !! *** FUNCTION tra_bbl_alloc_tam *** |
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83 | !!---------------------------------------------------------------------- |
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84 | INTEGER, OPTIONAL :: kmode |
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85 | INTEGER, DIMENSION(2) :: ierr |
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86 | INTEGER :: jmode |
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87 | |
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88 | IF ( PRESENT( kmode ) ) THEN |
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89 | jmode = kmode |
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90 | ELSE |
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91 | jmode = 0 |
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92 | END IF |
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93 | ierr(:) = 0.0_wp |
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94 | |
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95 | IF ( ( jmode == 0 ) .OR. ( jmode == 1 ) .AND. ( .NOT. ll_alloctl ) ) THEN |
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96 | ALLOCATE( utr_bbl_tl (jpi,jpj), vtr_bbl_tl (jpi,jpj), & |
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97 | & ahu_bbl_tl (jpi,jpj), ahv_bbl_tl (jpi,jpj), & |
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98 | & STAT= ierr(1) ) |
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99 | ll_alloctl = .TRUE. |
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100 | END IF |
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101 | ! |
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102 | IF ( ( jmode == 0 ) .OR. ( jmode == 2 ) .AND. ( .NOT. ll_allocad ) ) THEN |
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103 | ALLOCATE( utr_bbl_ad (jpi,jpj), vtr_bbl_ad (jpi,jpj), & |
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104 | & ahu_bbl_ad (jpi,jpj), ahv_bbl_ad (jpi,jpj), & |
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105 | & STAT= ierr(2) ) |
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106 | ll_allocad = .TRUE. |
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107 | END IF |
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108 | tra_bbl_alloc_tam = SUM(ierr) |
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109 | ! |
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110 | IF( lk_mpp ) CALL mpp_sum ( tra_bbl_alloc_tam ) |
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111 | IF( tra_bbl_alloc_tam > 0 ) CALL ctl_warn('tra_bbl_alloc_tam: allocation of arrays failed.') |
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112 | END FUNCTION tra_bbl_alloc_tam |
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113 | |
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114 | |
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115 | INTEGER FUNCTION tra_bbl_dealloc_tam( kmode ) |
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116 | !!---------------------------------------------------------------------- |
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117 | !! *** FUNCTION tra_bbl_dealloc *** |
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118 | !!---------------------------------------------------------------------- |
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119 | INTEGER, OPTIONAL :: kmode |
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120 | INTEGER, DIMENSION(2) :: ierr |
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121 | |
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122 | IF ( .NOT. PRESENT( kmode ) ) kmode=0 |
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123 | ierr(:) = 0.0_wp |
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124 | |
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125 | IF ( ( kmode == 0 ) .OR. ( kmode == 1 ) .AND. ( ll_alloctl ) ) THEN |
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126 | DEALLOCATE( utr_bbl_tl, vtr_bbl_tl, & |
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127 | & ahu_bbl_tl, ahv_bbl_tl, & |
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128 | & STAT= ierr(1) ) |
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129 | ll_alloctl = .FALSE. |
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130 | END IF |
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131 | ! |
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132 | IF ( ( kmode == 0 ) .OR. ( kmode == 1 ) .AND. ( ll_allocad ) ) THEN |
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133 | DEALLOCATE( utr_bbl_ad, vtr_bbl_ad, & |
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134 | & ahu_bbl_ad, ahv_bbl_ad, & |
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135 | & STAT= ierr(2) ) |
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136 | ll_allocad = .FALSE. |
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137 | END IF |
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138 | tra_bbl_dealloc_tam = SUM(ierr) |
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139 | ! |
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140 | IF( lk_mpp ) CALL mpp_sum ( tra_bbl_dealloc_tam ) |
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141 | IF( tra_bbl_dealloc_tam > 0 ) CALL ctl_warn('tra_bbl_dealloc_tam: allocation of arrays failed.') |
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142 | END FUNCTION tra_bbl_dealloc_tam |
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143 | |
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144 | |
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145 | SUBROUTINE tra_bbl_tan( kt ) |
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146 | !!---------------------------------------------------------------------- |
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147 | !! *** ROUTINE bbl_tan *** |
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148 | !! |
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149 | !! ** Purpose : Compute the before tracer (t & s) trend associated |
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150 | !! with the bottom boundary layer and add it to the general |
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151 | !! trend of tracer equations. |
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152 | !! |
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153 | !! ** Method : Depending on namtra_bbl namelist parameters the bbl |
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154 | !! diffusive and/or advective contribution to the tracer trend |
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155 | !! is added to the general tracer trend |
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156 | !!---------------------------------------------------------------------- |
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157 | INTEGER, INTENT( in ) :: kt ! ocean time-step |
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158 | !! |
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159 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ztrdttl, ztrdstl |
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160 | !!---------------------------------------------------------------------- |
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161 | ! |
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162 | IF( nn_timing == 1 ) CALL timing_start( 'tra_bbl_tan') |
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163 | ! |
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164 | IF( l_bbl ) CALL bbl_tan( kt, nit000, 'TRA' ) !* bbl coef. and transport (only if not already done in trcbbl) |
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165 | |
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166 | IF( nn_bbl_ldf == 1 ) THEN !* Diffusive bbl |
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167 | ! |
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168 | CALL tra_bbl_dif_tan( tsb, tsb_tl, tsa_tl, jpts ) |
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169 | ! |
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170 | END IF |
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171 | |
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172 | IF( nn_bbl_adv /= 0 ) THEN !* Advective bbl |
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173 | ! |
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174 | CALL tra_bbl_adv_tan( tsb, tsb_tl, tsa_tl, jpts ) |
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175 | ! |
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176 | END IF |
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177 | ! |
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178 | IF( nn_timing == 1 ) CALL timing_stop( 'tra_bbl_tan') |
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179 | ! |
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180 | END SUBROUTINE tra_bbl_tan |
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181 | |
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182 | |
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183 | SUBROUTINE tra_bbl_dif_tan( ptb, ptb_tl, pta_tl, kjpt ) |
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184 | !!---------------------------------------------------------------------- |
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185 | !! *** ROUTINE tra_bbl_dif_tan *** |
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186 | !! |
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187 | !! ** Purpose : Computes the bottom boundary horizontal and vertical |
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188 | !! advection terms. |
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189 | !! |
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190 | !! ** Method : |
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191 | !! * diffusive bbl (nn_bbl_ldf=1) : |
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192 | !! When the product grad( rho) * grad(h) < 0 (where grad is an |
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193 | !! along bottom slope gradient) an additional lateral 2nd order |
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194 | !! diffusion along the bottom slope is added to the general |
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195 | !! tracer trend, otherwise the additional trend is set to 0. |
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196 | !! A typical value of ahbt is 2000 m2/s (equivalent to |
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197 | !! a downslope velocity of 20 cm/s if the condition for slope |
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198 | !! convection is satified) |
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199 | !! |
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200 | !! ** Action : pta increased by the bbl diffusive trend |
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201 | !! |
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202 | !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. |
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203 | !! Campin, J.-M., and H. Goosse, 1999, Tellus, 412-430. |
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204 | !!---------------------------------------------------------------------- |
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205 | ! |
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206 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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207 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields |
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208 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb_tl ! before and now tracer fields |
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209 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta_tl ! tracer trend |
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210 | ! |
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211 | INTEGER :: ji, jj, jn ! dummy loop indices |
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212 | INTEGER :: ik ! local integers |
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213 | REAL(wp) :: zbtr ! local scalars |
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214 | REAL(wp), POINTER, DIMENSION(:,:) :: zptb, zptbtl |
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215 | !!---------------------------------------------------------------------- |
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216 | ! |
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217 | IF( nn_timing == 1 ) CALL timing_start('tra_bbl_dif_tan') |
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218 | ! |
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219 | CALL wrk_alloc( jpi, jpj, zptb, zptbtl ) |
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220 | ! |
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221 | DO jn = 1, kjpt ! tracer loop |
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222 | ! ! =========== |
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223 | # if defined key_vectopt_loop |
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224 | DO jj = 1, 1 ! vector opt. (forced unrolling) |
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225 | DO ji = 1, jpij |
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226 | #else |
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227 | DO jj = 1, jpj |
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228 | DO ji = 1, jpi |
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229 | #endif |
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230 | ik = mbkt(ji,jj) ! bottom T-level index |
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231 | zptbtl(ji,jj) = ptb_tl(ji,jj,ik,jn) ! bottom before T and S |
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232 | zptb (ji,jj) = ptb (ji,jj,ik,jn) ! bottom before T and S |
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233 | END DO |
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234 | END DO |
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235 | ! ! Compute the trend |
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236 | # if defined key_vectopt_loop |
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237 | DO jj = 1, 1 ! vector opt. (forced unrolling) |
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238 | DO ji = jpi+1, jpij-jpi-1 |
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239 | # else |
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240 | DO jj = 2, jpjm1 |
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241 | DO ji = 2, jpim1 |
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242 | # endif |
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243 | ik = mbkt(ji,jj) ! bottom T-level index |
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244 | zbtr = r1_e1e2t(ji,jj) / fse3t(ji,jj,ik) |
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245 | pta_tl(ji,jj,ik,jn) = pta_tl(ji,jj,ik,jn) & |
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246 | # if defined control_param |
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247 | & + ( ahu_bbl_tl(ji ,jj ) * ( zptb(ji+1,jj ) - zptb(ji ,jj ) ) & |
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248 | & - ahu_bbl_tl(ji-1,jj ) * ( zptb(ji ,jj ) - zptb(ji-1,jj ) ) & |
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249 | & + ahv_bbl_tl(ji ,jj ) * ( zptb(ji ,jj+1) - zptb(ji ,jj ) ) & |
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250 | & - ahv_bbl_tl(ji ,jj-1) * ( zptb(ji ,jj ) - zptb(ji ,jj-1) ) ) * zbtr & |
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251 | #endif |
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252 | & + ( ahu_bbl(ji ,jj ) * ( zptbtl(ji+1,jj ) - zptbtl(ji ,jj ) ) & |
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253 | & - ahu_bbl(ji-1,jj ) * ( zptbtl(ji ,jj ) - zptbtl(ji-1,jj ) ) & |
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254 | & + ahv_bbl(ji ,jj ) * ( zptbtl(ji ,jj+1) - zptbtl(ji ,jj ) ) & |
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255 | & - ahv_bbl(ji ,jj-1) * ( zptbtl(ji ,jj ) - zptbtl(ji ,jj-1) ) ) * zbtr |
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256 | END DO |
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257 | END DO |
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258 | ! ! =========== |
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259 | END DO ! end tracer |
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260 | ! ! =========== |
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261 | CALL wrk_dealloc( jpi, jpj, zptbtl, zptb ) |
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262 | ! |
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263 | IF( nn_timing == 1 ) CALL timing_stop('tra_bbl_dif_tan') |
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264 | ! |
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265 | END SUBROUTINE tra_bbl_dif_tan |
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266 | |
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267 | |
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268 | SUBROUTINE tra_bbl_adv_tan( ptb, ptb_tl, pta_tl, kjpt ) |
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269 | !!---------------------------------------------------------------------- |
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270 | !! *** ROUTINE trc_bbl *** |
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271 | !! |
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272 | !! ** Purpose : Compute the before passive tracer trend associated |
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273 | !! with the bottom boundary layer and add it to the general trend |
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274 | !! of tracer equations. |
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275 | !! ** Method : advective bbl (nn_bbl_adv = 1 or 2) : |
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276 | !! nn_bbl_adv = 1 use of the ocean near bottom velocity as bbl velocity |
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277 | !! nn_bbl_adv = 2 follow Campin and Goosse (1999) implentation i.e. |
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278 | !! transport proportional to the along-slope density gradient |
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279 | !! |
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280 | !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. |
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281 | !! Campin, J.-M., and H. Goosse, 1999, Tellus, 412-430. |
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282 | !!---------------------------------------------------------------------- |
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283 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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284 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields |
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285 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb_tl ! before and now tangent tracer fields |
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286 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta_tl ! tracer trend |
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287 | ! |
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288 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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289 | INTEGER :: iis , iid , ijs , ijd ! local integers |
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290 | INTEGER :: ikus, ikud, ikvs, ikvd ! - - |
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291 | REAL(wp) :: zbtr, ztra ! local scalars |
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292 | REAL(wp) :: ztratl ! - - |
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293 | REAL(wp) :: zu_bbl, zv_bbl ! - - |
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294 | REAL(wp) :: zu_bbltl, zv_bbltl ! - - |
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295 | !!---------------------------------------------------------------------- |
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296 | ! |
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297 | IF( nn_timing == 1 ) CALL timing_start( 'tra_bbl_adv_tan') |
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298 | ! ! =========== |
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299 | DO jn = 1, kjpt ! tracer loop |
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300 | ! ! =========== |
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301 | # if defined key_vectopt_loop |
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302 | DO jj = 1, 1 |
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303 | DO ji = 1, jpij-jpi-1 ! vector opt. (forced unrolling) |
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304 | # else |
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305 | DO jj = 1, jpjm1 |
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306 | DO ji = 1, jpim1 ! CAUTION start from i=1 to update i=2 when cyclic east-west |
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307 | # endif |
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308 | IF( utr_bbl(ji,jj) /= 0.e0 ) THEN ! non-zero i-direction bbl advection |
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309 | ! down-slope i/k-indices (deep) & up-slope i/k indices (shelf) |
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310 | iid = ji + MAX( 0, mgrhu(ji,jj) ) ; iis = ji + 1 - MAX( 0, mgrhu(ji,jj) ) |
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311 | ikud = mbku_d(ji,jj) ; ikus = mbku(ji,jj) |
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312 | zu_bbl = ABS( utr_bbl(ji,jj) ) |
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313 | zu_bbltl = SIGN( utr_bbl_tl(ji,jj), utr_bbl(ji,jj) ) |
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314 | ! |
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315 | ! ! up -slope T-point (shelf bottom point) |
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316 | zbtr = r1_e1e2t(iis,jj) / fse3t(iis,jj,ikus) |
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317 | ztratl = ( zu_bbltl * ( ptb (iid,jj,ikus,jn) - ptb (iis,jj,ikus,jn) ) & |
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318 | & + zu_bbl * ( ptb_tl(iid,jj,ikus,jn) - ptb_tl(iis,jj,ikus,jn) ) ) * zbtr |
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319 | pta_tl(iis,jj,ikus,jn) = pta_tl(iis,jj,ikus,jn) + ztratl |
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320 | ! |
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321 | DO jk = ikus, ikud-1 ! down-slope upper to down T-point (deep column) |
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322 | zbtr = r1_e1e2t(iid,jj) / fse3t(iid,jj,jk) |
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323 | ztratl = ( zu_bbltl * ( ptb (iid,jj,jk+1,jn) - ptb (iid,jj,jk,jn) ) & |
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324 | & + zu_bbl * ( ptb_tl(iid,jj,jk+1,jn) - ptb_tl(iid,jj,jk,jn) ) ) * zbtr |
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325 | pta_tl(iid,jj,jk,jn) = pta_tl(iid,jj,jk,jn) + ztratl |
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326 | END DO |
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327 | ! |
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328 | zbtr = r1_e1e2t(iid,jj) / fse3t(iid,jj,ikud) |
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329 | ztratl = ( zu_bbltl * ( ptb (iis,jj,ikus,jn) - ptb (iid,jj,ikud,jn) ) & |
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330 | & + zu_bbl * ( ptb_tl(iis,jj,ikus,jn) - ptb_tl(iid,jj,ikud,jn) ) ) * zbtr |
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331 | pta_tl(iid,jj,ikud,jn) = pta_tl(iid,jj,ikud,jn) + ztratl |
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332 | ENDIF |
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333 | ! |
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334 | IF( vtr_bbl(ji,jj) /= 0.e0 ) THEN ! non-zero j-direction bbl advection |
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335 | ! down-slope j/k-indices (deep) & up-slope j/k indices (shelf) |
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336 | ijd = jj + MAX( 0, mgrhv(ji,jj) ) ; ijs = jj + 1 - MAX( 0, mgrhv(ji,jj) ) |
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337 | ikvd = mbkv_d(ji,jj) ; ikvs = mbkv(ji,jj) |
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338 | zv_bbl = ABS( vtr_bbl(ji,jj) ) |
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339 | zv_bbltl = SIGN( vtr_bbl_tl(ji,jj), vtr_bbl(ji,jj) ) |
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340 | ! |
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341 | ! up -slope T-point (shelf bottom point) |
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342 | zbtr = r1_e1e2t(ji,ijs) / fse3t(ji,ijs,ikvs) |
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343 | ztratl = ( zv_bbltl * ( ptb (ji,ijd,ikvs,jn) - ptb (ji,ijs,ikvs,jn) ) & |
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344 | & + zv_bbl * ( ptb_tl(ji,ijd,ikvs,jn) - ptb_tl(ji,ijs,ikvs,jn) ) ) * zbtr |
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345 | pta_tl(ji,ijs,ikvs,jn) = pta_tl(ji,ijs,ikvs,jn) + ztratl |
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346 | ! |
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347 | DO jk = ikvs, ikvd-1 ! down-slope upper to down T-point (deep column) |
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348 | zbtr = r1_e1e2t(ji,ijd) / fse3t(ji,ijd,jk) |
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349 | ztratl = ( zv_bbltl * ( ptb (ji,ijd,jk+1,jn) - ptb (ji,ijd,jk,jn) ) & |
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350 | & + zv_bbl * ( ptb_tl(ji,ijd,jk+1,jn) - ptb_tl(ji,ijd,jk,jn) ) ) * zbtr |
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351 | pta_tl(ji,ijd,jk,jn) = pta_tl(ji,ijd,jk,jn) + ztratl |
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352 | END DO |
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353 | ! ! down-slope T-point (deep bottom point) |
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354 | zbtr = r1_e1e2t(ji,ijd) / fse3t(ji,ijd,ikvd) |
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355 | ztratl = ( zv_bbltl * ( ptb (ji,ijs,ikvs,jn) - ptb (ji,ijd,ikvd,jn) ) & |
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356 | & + zv_bbl * ( ptb_tl(ji,ijs,ikvs,jn) - ptb_tl(ji,ijd,ikvd,jn) ) ) * zbtr |
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357 | pta_tl(ji,ijd,ikvd,jn) = pta_tl(ji,ijd,ikvd,jn) + ztratl |
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358 | ENDIF |
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359 | END DO |
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360 | ! |
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361 | END DO |
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362 | ! ! =========== |
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363 | END DO ! end tracer |
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364 | ! ! =========== |
---|
365 | ! |
---|
366 | IF( nn_timing == 1 ) CALL timing_stop( 'tra_bbl_adv_tan') |
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367 | ! |
---|
368 | END SUBROUTINE tra_bbl_adv_tan |
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369 | |
---|
370 | |
---|
371 | SUBROUTINE bbl_tan( kt, kit000, cdtype ) |
---|
372 | !!---------------------------------------------------------------------- |
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373 | !! *** ROUTINE bbl *** |
---|
374 | !! |
---|
375 | !! ** Purpose : Computes the bottom boundary horizontal and vertical |
---|
376 | !! advection terms. |
---|
377 | !! |
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378 | !! ** Method : |
---|
379 | !! * diffusive bbl (nn_bbl_ldf=1) : |
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380 | !! When the product grad( rho) * grad(h) < 0 (where grad is an |
---|
381 | !! along bottom slope gradient) an additional lateral 2nd order |
---|
382 | !! diffusion along the bottom slope is added to the general |
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383 | !! tracer trend, otherwise the additional trend is set to 0. |
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384 | !! A typical value of ahbt is 2000 m2/s (equivalent to |
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385 | !! a downslope velocity of 20 cm/s if the condition for slope |
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386 | !! convection is satified) |
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387 | !! * advective bbl (nn_bbl_adv=1 or 2) : |
---|
388 | !! nn_bbl_adv = 1 use of the ocean velocity as bbl velocity |
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389 | !! nn_bbl_adv = 2 follow Campin and Goosse (1999) implentation |
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390 | !! i.e. transport proportional to the along-slope density gradient |
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391 | !! |
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392 | !! NB: the along slope density gradient is evaluated using the |
---|
393 | !! local density (i.e. referenced at a common local depth). |
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394 | !! |
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395 | !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. |
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396 | !! Campin, J.-M., and H. Goosse, 1999, Tellus, 412-430. |
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397 | !!---------------------------------------------------------------------- |
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398 | ! |
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399 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
400 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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401 | CHARACTER(len=3), INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
---|
402 | !! |
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403 | INTEGER :: ji, jj ! dummy loop indices |
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404 | INTEGER :: ik ! local integers |
---|
405 | INTEGER :: iis , iid , ijs , ijd ! - - |
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406 | INTEGER :: ikus, ikud, ikvs, ikvd ! - - |
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407 | REAL(wp) :: zsign, zsigna, zgbbl ! local scalars |
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408 | REAL(wp) :: zgdrho, zt, zs, zh ! - - |
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409 | REAL(wp) :: zgdrhotl, zttl, zstl, zhtl! - - |
---|
410 | !! |
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411 | REAL(wp) :: fsalbt, fsbeta, pft, pfs, pfh ! statement function |
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412 | REAL(wp) :: fsalbt_tan, fsbeta_tan, pfttl, pfstl, pfhtl ! statement function |
---|
413 | REAL(wp), POINTER, DIMENSION(:,:) :: zub , zvb , ztb , zsb , zdep |
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414 | REAL(wp), POINTER, DIMENSION(:,:) :: zubtl, zvbtl, ztbtl, zsbtl |
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415 | !!----------------------- zv_bbl----------------------------------------------- |
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416 | ! ratio alpha/beta = fsalbt : ratio of thermal over saline expension coefficients |
---|
417 | ! ================ pft : potential temperature in degrees celcius |
---|
418 | ! pfs : salinity anomaly (s-35) in psu |
---|
419 | ! pfh : depth in meters |
---|
420 | ! nn_eos = 0 (Jackett and McDougall 1994 formulation) |
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421 | fsalbt( pft, pfs, pfh ) = & ! alpha/beta |
---|
422 | ( ( ( -0.255019e-07 * pft + 0.298357e-05 ) * pft & |
---|
423 | - 0.203814e-03 ) * pft & |
---|
424 | + 0.170907e-01 ) * pft & |
---|
425 | + 0.665157e-01 & |
---|
426 | +(-0.678662e-05 * pfs - 0.846960e-04 * pft + 0.378110e-02 ) * pfs & |
---|
427 | + ( ( - 0.302285e-13 * pfh & |
---|
428 | - 0.251520e-11 * pfs & |
---|
429 | + 0.512857e-12 * pft * pft ) * pfh & |
---|
430 | - 0.164759e-06 * pfs & |
---|
431 | +( 0.791325e-08 * pft - 0.933746e-06 ) * pft & |
---|
432 | + 0.380374e-04 ) * pfh |
---|
433 | fsbeta( pft, pfs, pfh ) = & ! beta |
---|
434 | ( ( -0.415613e-09 * pft + 0.555579e-07 ) * pft & |
---|
435 | - 0.301985e-05 ) * pft & |
---|
436 | + 0.785567e-03 & |
---|
437 | + ( 0.515032e-08 * pfs & |
---|
438 | + 0.788212e-08 * pft - 0.356603e-06 ) * pfs & |
---|
439 | +( ( 0.121551e-17 * pfh & |
---|
440 | - 0.602281e-15 * pfs & |
---|
441 | - 0.175379e-14 * pft + 0.176621e-12 ) * pfh & |
---|
442 | + 0.408195e-10 * pfs & |
---|
443 | + ( - 0.213127e-11 * pft + 0.192867e-09 ) * pft & |
---|
444 | - 0.121555e-07 ) * pfh |
---|
445 | |
---|
446 | fsalbt_tan( pft, pfs, pfh, pfttl, pfstl, pfhtl ) = & ! alpha/beta |
---|
447 | & ( - 0.255019e-07 * 4 * pft * pft * pft & |
---|
448 | & + 0.298357e-05 * 3 * pft * pft & |
---|
449 | & - 0.203814e-03 * 2 * pft & |
---|
450 | & - 0.846960e-04 * pfs & |
---|
451 | & + 0.512857e-12 * 2 * pft * pfh * pfh & |
---|
452 | & + 0.791325e-08 * pft * pfh & |
---|
453 | & - 0.933746e-06 * pfh & |
---|
454 | & + 0.170907e-01 ) * pfttl & |
---|
455 | & + ( - 0.678662e-05 * 2 * pfs & |
---|
456 | & - 0.846960e-04 * pft & |
---|
457 | & - 0.251520e-11 * pfh * pfh & |
---|
458 | & - 0.164759e-06 * pfh & |
---|
459 | & + 0.378110e-02 ) * pfstl & |
---|
460 | & + ( - 0.302285e-13 * 3 * pfh * pfh & |
---|
461 | & - 0.251520e-11 * pfs * pfh & |
---|
462 | & + 0.512857e-12 * pft * pft * pfh & |
---|
463 | & - 0.164759e-06 * pfs & |
---|
464 | & + 0.791325e-08 * pft * pft & |
---|
465 | & - 0.933746e-06 * pft & |
---|
466 | & + 0.380374e-04 ) * pfhtl |
---|
467 | |
---|
468 | |
---|
469 | fsbeta_tan( pft, pfs, pfh, pfttl, pfstl, pfhtl ) = & ! beta |
---|
470 | & ( - 0.415613e-09 * 3 * pft * pft & |
---|
471 | & + 0.555579e-07 * 2 * pft & |
---|
472 | & - 0.301985e-05 & |
---|
473 | & + 0.788212e-08 * pfs & |
---|
474 | & - 0.213127e-11 * 2 * pfh * pft & |
---|
475 | & - 0.175379e-14 * pfh * pfh ) * pfttl & |
---|
476 | & + ( 0.788212e-08 * pft & |
---|
477 | & + 0.515032e-08 * 2 * pfs & |
---|
478 | & - 0.356603e-06 & |
---|
479 | & + 0.408195e-10 * pfh & |
---|
480 | & - 0.602281e-15 * pfh * pfh ) * pfstl & |
---|
481 | & + ( 0.121551e-17 * 3 * pfh * pfh & |
---|
482 | & - 0.602281e-15 * 2 * pfs * pfh & |
---|
483 | & - 0.175379e-14 * 2 * pft * pfh & |
---|
484 | & + 0.176621e-12 * 2 * pfh & |
---|
485 | & + 0.408195e-10 * pfs & |
---|
486 | & + 0.192867e-09 * pfh & |
---|
487 | & - 0.213127e-11 * pft * pft & |
---|
488 | & + 0.192867e-09 * pft & |
---|
489 | & - 0.121555e-07 ) * pfhtl |
---|
490 | |
---|
491 | |
---|
492 | !!---------------------------------------------------------------------- |
---|
493 | |
---|
494 | ! |
---|
495 | IF( nn_timing == 1 ) CALL timing_start( 'bbl_tan') |
---|
496 | ! |
---|
497 | CALL wrk_alloc( jpi, jpj, zub , zvb , ztb , zsb , zdep, & |
---|
498 | & zubtl, zvbtl, ztbtl, zsbtl ) |
---|
499 | ! |
---|
500 | |
---|
501 | IF( kt == kit000 ) THEN |
---|
502 | IF(lwp) WRITE(numout,*) |
---|
503 | IF(lwp) WRITE(numout,*) 'trabbl_tam:bbl_tan : Compute bbl velocities and diffusive coefficients in ', cdtype |
---|
504 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~' |
---|
505 | ENDIF |
---|
506 | |
---|
507 | ! !* bottom temperature, salinity, velocity and depth |
---|
508 | #if defined key_vectopt_loop |
---|
509 | DO jj = 1, 1 ! vector opt. (forced unrolling) |
---|
510 | DO ji = 1, jpij |
---|
511 | #else |
---|
512 | DO jj = 1, jpj |
---|
513 | DO ji = 1, jpi |
---|
514 | #endif |
---|
515 | ik = mbkt(ji,jj) ! bottom T-level index |
---|
516 | ztb (ji,jj) = tsb(ji,jj,ik,jp_tem) * tmask(ji,jj,1) ! bottom before T and S |
---|
517 | zsb (ji,jj) = tsb(ji,jj,ik,jp_sal) * tmask(ji,jj,1) |
---|
518 | ztbtl(ji,jj) = tsb_tl(ji,jj,ik,jp_tem) * tmask(ji,jj,1) ! bottom before T and S |
---|
519 | zsbtl(ji,jj) = tsb_tl(ji,jj,ik,jp_sal) * tmask(ji,jj,1) |
---|
520 | zdep(ji,jj) = fsdept_0(ji,jj,ik) ! bottom T-level reference depth |
---|
521 | ! |
---|
522 | zub(ji,jj) = un(ji,jj,mbku(ji,jj)) ! bottom velocity |
---|
523 | zvb(ji,jj) = vn(ji,jj,mbkv(ji,jj)) |
---|
524 | END DO |
---|
525 | END DO |
---|
526 | |
---|
527 | ! !-------------------! |
---|
528 | IF( nn_bbl_ldf == 1 ) THEN ! diffusive bbl ! |
---|
529 | ! !-------------------! |
---|
530 | ! AV NOTE : while rn_ahtbbl remains a passive variable, the code below will only yield ah_bbl_tl=0, so i put it under key |
---|
531 | #if defined key_control_param |
---|
532 | DO jj = 1, jpjm1 ! (criteria for non zero flux: grad(rho).grad(h) < 0 ) |
---|
533 | DO ji = 1, jpim1 |
---|
534 | ! ! i-direction |
---|
535 | zt = 0.5 * ( ztb (ji,jj) + ztb (ji+1,jj) ) ! T, S anomalie, and depth |
---|
536 | zs = 0.5 * ( zsb (ji,jj) + zsb (ji+1,jj) ) - 35.0 |
---|
537 | zh = 0.5 * ( zdep(ji,jj) + zdep(ji+1,jj) ) |
---|
538 | ! ! masked bbl i-gradient of density |
---|
539 | zgdrho = ( fsalbt( zt, zs, zh ) * ( ztb(ji+1,jj) - ztb(ji,jj) ) & |
---|
540 | & - ( zsb(ji+1,jj) - zsb(ji,jj) ) ) * umask(ji,jj,1) |
---|
541 | ! |
---|
542 | zsign = SIGN( 0.5, - zgdrho * REAL( mgrhu(ji,jj) ) ) ! sign of ( i-gradient * i-slope ) |
---|
543 | ahu_bbl_tl(ji,jj) = ( 0.5 - zsign ) * ahu_bbl_0_tl(ji,jj) ! masked diffusive flux coeff. |
---|
544 | ! |
---|
545 | ! ! j-direction |
---|
546 | zt = 0.5 * ( ztb (ji,jj+1) + ztb (ji,jj) ) ! T, S anomalie, and depth |
---|
547 | zs = 0.5 * ( zsb (ji,jj+1) + zsb (ji,jj) ) - 35.0 |
---|
548 | zh = 0.5 * ( zdep(ji,jj+1) + zdep(ji,jj) ) |
---|
549 | ! ! masked bbl j-gradient of density |
---|
550 | zgdrho = ( fsalbt( zt, zs, zh ) * ( ztb(ji,jj+1) - ztb(ji,jj) ) & |
---|
551 | & - ( zsb(ji,jj+1) - zsb(ji,jj) ) ) * vmask(ji,jj,1) |
---|
552 | ! |
---|
553 | zsign = SIGN( 0.5, -zgdrho * REAL( mgrhv(ji,jj) ) ) ! sign of ( j-gradient * j-slope ) |
---|
554 | ahv_bbl_tl(ji,jj) = ( 0.5 - zsign ) * ahv_bbl_0_tl(ji,jj) |
---|
555 | ! |
---|
556 | END DO |
---|
557 | END DO |
---|
558 | #else |
---|
559 | DO jj = 1, jpjm1 |
---|
560 | DO ji = 1, jpim1 |
---|
561 | ahu_bbl_tl(ji,jj)=0.0_wp |
---|
562 | ahv_bbl_tl(ji,jj)=0.0_wp |
---|
563 | END DO |
---|
564 | END DO |
---|
565 | #endif |
---|
566 | ! |
---|
567 | ENDIF |
---|
568 | |
---|
569 | ! !-------------------! |
---|
570 | IF( nn_bbl_adv /= 0 ) THEN ! advective bbl ! |
---|
571 | ! !-------------------! |
---|
572 | SELECT CASE ( nn_bbl_adv ) !* bbl transport type |
---|
573 | ! |
---|
574 | CASE( 1 ) != use of upper velocity |
---|
575 | ! AV NOTE: not much needed for deriving, almost all the computations are for the SIGN, which is kept identical as in the NL |
---|
576 | DO jj = 1, jpjm1 ! criteria: grad(rho).grad(h)<0 and grad(rho).grad(h)<0 |
---|
577 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
578 | ! ! i-direction |
---|
579 | zt = 0.5 * ( ztb (ji,jj) + ztb (ji+1,jj) ) ! T, S anomalie, and depth |
---|
580 | zs = 0.5 * ( zsb (ji,jj) + zsb (ji+1,jj) ) - 35.0 |
---|
581 | zh = 0.5 * ( zdep(ji,jj) + zdep(ji+1,jj) ) |
---|
582 | ! ! masked bbl i-gradient of density |
---|
583 | zgdrho = ( fsalbt( zt, zs, zh ) * ( ztb(ji+1,jj) - ztb(ji,jj) ) & |
---|
584 | & - ( zsb(ji+1,jj) - zsb(ji,jj) ) ) * umask(ji,jj,1) |
---|
585 | ! |
---|
586 | zsign = SIGN( 0.5, - zgdrho * REAL( mgrhu(ji,jj) ) ) ! sign of i-gradient * i-slope |
---|
587 | zsigna= SIGN( 0.5, zub(ji,jj) * REAL( mgrhu(ji,jj) ) ) ! sign of u * i-slope |
---|
588 | ! |
---|
589 | ! ! bbl velocity |
---|
590 | utr_bbl_tl(ji,jj) = ( 0.5 + zsigna ) * ( 0.5 - zsign ) * e2u(ji,jj) * e3u_bbl_0(ji,jj) * zubtl(ji,jj) |
---|
591 | ! |
---|
592 | ! ! j-direction |
---|
593 | zt = 0.5 * ( ztb (ji,jj+1) + ztb (ji,jj) ) ! T, S anomalie, and depth |
---|
594 | zs = 0.5 * ( zsb (ji,jj+1) + zsb (ji,jj) ) - 35.0 |
---|
595 | zh = 0.5 * ( zdep(ji,jj+1) + zdep(ji,jj) ) |
---|
596 | ! ! masked bbl j-gradient of density |
---|
597 | zgdrho = ( fsalbt( zt, zs, zh ) * ( ztb(ji,jj+1) - ztb(ji,jj) ) & |
---|
598 | & - ( zsb(ji,jj+1) - zsb(ji,jj) ) ) * vmask(ji,jj,1) |
---|
599 | zsign = SIGN( 0.5, - zgdrho * REAL( mgrhv(ji,jj) ) ) ! sign of j-gradient * j-slope |
---|
600 | zsigna= SIGN( 0.5, zvb(ji,jj) * REAL( mgrhv(ji,jj) ) ) ! sign of u * i-slope |
---|
601 | ! |
---|
602 | ! ! bbl velocity |
---|
603 | vtr_bbl_tl(ji,jj) = ( 0.5 + zsigna ) * ( 0.5 - zsign ) * e1v(ji,jj) * e3v_bbl_0(ji,jj) * zvbtl(ji,jj) |
---|
604 | END DO |
---|
605 | END DO |
---|
606 | ! |
---|
607 | CASE( 2 ) != bbl velocity = F( delta rho ) |
---|
608 | ! AV NOTE: this one is nastier |
---|
609 | zgbbl = grav * rn_gambbl |
---|
610 | DO jj = 1, jpjm1 ! criteria: rho_up > rho_down |
---|
611 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
612 | ! ! i-direction |
---|
613 | ! down-slope T-point i/k-index (deep) & up-slope T-point i/k-index (shelf) |
---|
614 | iid = ji + MAX( 0, mgrhu(ji,jj) ) ; iis = ji + 1 - MAX( 0, mgrhu(ji,jj) ) |
---|
615 | ikud = mbku_d(ji,jj) ; ikus = mbku(ji,jj) |
---|
616 | ! |
---|
617 | ! ! mid-depth density anomalie (up-slope minus down-slope) |
---|
618 | zt = 0.5 * ( ztb (ji,jj) + ztb (ji+1,jj) ) ! mid slope depth of T, S, and depth |
---|
619 | zs = 0.5 * ( zsb (ji,jj) + zsb (ji+1,jj) ) - 35.0 |
---|
620 | zh = 0.5 * ( zdep(ji,jj) + zdep(ji+1,jj) ) |
---|
621 | zgdrho = fsbeta( zt, zs, zh ) & |
---|
622 | & * ( fsalbt( zt, zs, zh ) * ( ztb(iid,jj) - ztb(iis,jj) ) & |
---|
623 | & - ( zsb(iid,jj) - zsb(iis,jj) ) ) * umask(ji,jj,1) |
---|
624 | zttl = 0.5 * ( ztbtl (ji,jj) + ztbtl (ji+1,jj) ) ! mid slope depth of T, S, and depth |
---|
625 | zstl = 0.5 * ( zsbtl (ji,jj) + zsbtl (ji+1,jj) ) |
---|
626 | zhtl = 0.0_wp |
---|
627 | zgdrhotl = ( fsbeta_tan( zt, zs, zh, zttl, zstl, zhtl ) & |
---|
628 | & * ( fsalbt( zt, zs, zh ) * ( ztb(iid,jj) - ztb(iis,jj) ) & |
---|
629 | & - ( zsb(iid,jj) - zsb(iis,jj) ) ) & |
---|
630 | & + fsbeta( zt, zs, zh ) & |
---|
631 | & * ( fsalbt_tan( zt, zs, zh, zttl, zstl, zhtl ) & |
---|
632 | & * ( ztb (iid,jj) - ztb (iis,jj) ) & |
---|
633 | & + fsalbt ( zt, zs, zh ) * ( ztbtl(iid,jj) - ztbtl(iis,jj) ) & |
---|
634 | & - ( zsbtl(iid,jj) - zsbtl(iis,jj) ) ) ) * umask(ji,jj,1) |
---|
635 | |
---|
636 | zsign = SIGN( 0.5_wp, zgdrho ) ! tangent of zgdrho = MAX( 0.e0, zgdrho ) |
---|
637 | ! ! bbl transport (down-slope direction) |
---|
638 | utr_bbl_tl(ji,jj) = zsign * e2u(ji,jj) * e3u_bbl_0(ji,jj) * zgbbl * zgdrhotl * REAL( mgrhu(ji,jj) ) |
---|
639 | ! |
---|
640 | ! ! j-direction |
---|
641 | ! down-slope T-point j/k-index (deep) & of the up -slope T-point j/k-index (shelf) |
---|
642 | ijd = jj + MAX( 0, mgrhv(ji,jj) ) ; ijs = jj + 1 - MAX( 0, mgrhv(ji,jj) ) |
---|
643 | ikvd = mbkv_d(ji,jj) ; ikvs = mbkv(ji,jj) |
---|
644 | ! |
---|
645 | ! ! mid-depth density anomalie (up-slope minus down-slope) |
---|
646 | zt = 0.5 * ( ztb (ji,jj) + ztb (ji,jj+1) ) ! mid slope depth of T, S, and depth |
---|
647 | zs = 0.5 * ( zsb (ji,jj) + zsb (ji,jj+1) ) - 35.0 |
---|
648 | zh = 0.5 * ( zdep(ji,jj) + zdep(ji,jj+1) ) |
---|
649 | zgdrho = fsbeta( zt, zs, zh ) & |
---|
650 | & * ( fsalbt( zt, zs, zh ) * ( ztb(ji,ijd) - ztb(ji,ijs) ) & |
---|
651 | & - ( zsb(ji,ijd) - zsb(ji,ijs) ) ) * vmask(ji,jj,1) |
---|
652 | zttl = 0.5 * ( ztbtl (ji,jj) + ztbtl (ji,jj+1) ) ! mid slope depth of T, S, and depth |
---|
653 | zstl = 0.5 * ( zsbtl (ji,jj) + zsbtl (ji,jj+1) ) |
---|
654 | zhtl = 0.0_wp |
---|
655 | zgdrhotl = ( fsbeta_tan( zt, zs, zh, zttl, zstl, zhtl ) & |
---|
656 | & * ( fsalbt( zt, zs, zh ) * ( ztb(ji,ijd) - ztb(ji,ijs) ) & |
---|
657 | & - ( zsb(ji,ijd) - zsb(ji,ijs) ) ) & |
---|
658 | & + fsbeta( zt, zs, zh ) & |
---|
659 | & * ( fsalbt_tan( zt, zs, zh, zttl, zstl, zhtl ) & |
---|
660 | & * ( ztb (ji,ijd) - ztb (ji,ijs) ) & |
---|
661 | & + fsalbt ( zt, zs, zh ) * ( ztbtl(ji,ijd) - ztbtl(ji,ijs) ) & |
---|
662 | & - ( zsbtl(ji,ijd) - zsbtl(ji,ijs) ) ) ) * vmask(ji,jj,1) |
---|
663 | ! |
---|
664 | zsign = SIGN( 0.5_wp, zgdrho ) ! tangent of zgdrho = MAX( 0.e0, zgdrho ) |
---|
665 | ! ! bbl transport (down-slope direction) |
---|
666 | vtr_bbl_tl(ji,jj) = zsign * e1v(ji,jj) * e3v_bbl_0(ji,jj) * zgbbl * zgdrhotl * REAL( mgrhv(ji,jj) ) |
---|
667 | END DO |
---|
668 | END DO |
---|
669 | END SELECT |
---|
670 | ! |
---|
671 | ENDIF |
---|
672 | ! |
---|
673 | CALL wrk_dealloc( jpi, jpj, zub , zvb , ztb , zsb , zdep, & |
---|
674 | & zubtl, zvbtl, ztbtl, zsbtl ) |
---|
675 | ! |
---|
676 | IF( nn_timing == 1 ) CALL timing_stop( 'bbl_tan') |
---|
677 | ! |
---|
678 | END SUBROUTINE bbl_tan |
---|
679 | |
---|
680 | |
---|
681 | SUBROUTINE tra_bbl_adj( kt ) |
---|
682 | !!---------------------------------------------------------------------- |
---|
683 | !! *** ROUTINE bbl_adj *** |
---|
684 | !! |
---|
685 | !! ** Purpose : Compute the before tracer (t & s) trend associated |
---|
686 | !! with the bottom boundary layer and add it to the general |
---|
687 | !! trend of tracer equations. |
---|
688 | !! |
---|
689 | !! ** Method : Depending on namtra_bbl namelist parameters the bbl |
---|
690 | !! diffusive and/or advective contribution to the tracer trend |
---|
691 | !! is added to the general tracer trend |
---|
692 | !!---------------------------------------------------------------------- |
---|
693 | INTEGER, INTENT( in ) :: kt ! ocean time-step |
---|
694 | !!---------------------------------------------------------------------- |
---|
695 | ! |
---|
696 | IF( nn_timing == 1 ) CALL timing_start( 'tra_bbl_adj') |
---|
697 | ! |
---|
698 | IF( l_bbl ) CALL bbl_adj( kt, nit000, 'TRA' ) !* bbl coef. and transport (only if not already done in trcbbl) |
---|
699 | |
---|
700 | IF( nn_bbl_ldf == 1 ) THEN !* Diffusive bbl |
---|
701 | ! |
---|
702 | CALL tra_bbl_dif_adj( tsb, tsb_ad, tsa_ad, jpts ) |
---|
703 | ! |
---|
704 | END IF |
---|
705 | |
---|
706 | IF( nn_bbl_adv /= 0 ) THEN !* Advective bbl |
---|
707 | ! |
---|
708 | CALL tra_bbl_adv_adj( tsb, tsb_ad, tsa_ad, jpts ) |
---|
709 | ! |
---|
710 | END IF |
---|
711 | ! |
---|
712 | IF( nn_timing == 1 ) CALL timing_stop( 'tra_bbl_adj') |
---|
713 | ! |
---|
714 | END SUBROUTINE tra_bbl_adj |
---|
715 | |
---|
716 | |
---|
717 | SUBROUTINE tra_bbl_dif_adj( ptb, ptb_ad, pta_ad, kjpt ) |
---|
718 | !!---------------------------------------------------------------------- |
---|
719 | !! *** ROUTINE tra_bbl_dif_adj *** |
---|
720 | !! |
---|
721 | !! ** Purpose : Computes the bottom boundary horizontal and vertical |
---|
722 | !! advection terms. |
---|
723 | !! |
---|
724 | !! ** Method : |
---|
725 | !! * diffusive bbl (nn_bbl_ldf=1) : |
---|
726 | !! When the product grad( rho) * grad(h) < 0 (where grad is an |
---|
727 | !! along bottom slope gradient) an additional lateral 2nd order |
---|
728 | !! diffusion along the bottom slope is added to the general |
---|
729 | !! tracer trend, otherwise the additional trend is set to 0. |
---|
730 | !! A typical value of ahbt is 2000 m2/s (equivalent to |
---|
731 | !! a downslope velocity of 20 cm/s if the condition for slope |
---|
732 | !! convection is satified) |
---|
733 | !! |
---|
734 | !! ** Action : pta increased by the bbl diffusive trend |
---|
735 | !! |
---|
736 | !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. |
---|
737 | !! Campin, J.-M., and H. Goosse, 1999, Tellus, 412-430. |
---|
738 | !!---------------------------------------------------------------------- |
---|
739 | ! |
---|
740 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
741 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields |
---|
742 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: ptb_ad ! before and now tracer fields |
---|
743 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta_ad ! tracer trend |
---|
744 | ! |
---|
745 | INTEGER :: ji, jj, jn ! dummy loop indices |
---|
746 | INTEGER :: ik ! local integers |
---|
747 | REAL(wp) :: zbtr ! local scalars |
---|
748 | REAL(wp), POINTER, DIMENSION(:,:) :: zptb, zptbad |
---|
749 | !!---------------------------------------------------------------------- |
---|
750 | ! |
---|
751 | IF( nn_timing == 1 ) CALL timing_start('tra_bbl_dif_adj') |
---|
752 | ! |
---|
753 | CALL wrk_alloc( jpi, jpj, zptb, zptbad ) |
---|
754 | zptbad(:,:) = 0.0_wp |
---|
755 | ! |
---|
756 | DO jn = 1, kjpt ! tracer loop |
---|
757 | ! ! =========== |
---|
758 | # if defined key_vectopt_loop |
---|
759 | DO jj = 1, 1 ! vector opt. (forced unrolling) |
---|
760 | DO ji = 1, jpij |
---|
761 | # else |
---|
762 | DO jj = 1, jpj |
---|
763 | DO ji = 1, jpi |
---|
764 | #endif |
---|
765 | ik = mbkt(ji,jj) ! bottom T-level index |
---|
766 | zptb (ji,jj) = ptb (ji,jj,ik,jn) ! bottom before T and S |
---|
767 | END DO |
---|
768 | END DO |
---|
769 | ! ! =========== |
---|
770 | ! ! Compute the trend |
---|
771 | # if defined key_vectopt_loop |
---|
772 | DO jj = 1, 1 ! vector opt. (forced unrolling) |
---|
773 | DO ji = jpi+1, jpij-jpi-1 |
---|
774 | # else |
---|
775 | DO jj = jpjm1, 2, -1 |
---|
776 | DO ji = jpim1, 2, -1 |
---|
777 | # endif |
---|
778 | ik = mbkt(ji,jj) ! bottom T-level index |
---|
779 | zbtr = r1_e1e2t(ji,jj) / fse3t(ji,jj,ik) |
---|
780 | # if defined control_param |
---|
781 | ahu_bbl_ad(ji ,jj ) = ahu_bbl_ad(ji ,jj ) + pta_ad(ji,jj,ik,jn) * ( zptb(ji+1,jj ) - zptb(ji ,jj ) ) * zbtr |
---|
782 | ahu_bbl_ad(ji-1,jj ) = ahu_bbl_ad(ji-1,jj ) - pta_ad(ji,jj,ik,jn) * ( zptb(ji ,jj ) - zptb(ji-1,jj ) ) * zbtr |
---|
783 | ahv_bbl_ad(ji ,jj ) = ahv_bbl_ad(ji ,jj ) + pta_ad(ji,jj,ik,jn) * ( zptb(ji ,jj+1) - zptb(ji ,jj ) ) * zbtr |
---|
784 | ahv_bbl_ad(ji ,jj-1) = ahv_bbl_ad(ji ,jj-1) - pta_ad(ji,jj,ik,jn) * ( zptb(ji ,jj ) - zptb(ji ,jj-1) ) * zbtr |
---|
785 | # endif |
---|
786 | zptbad(ji ,jj ) = zptbad(ji ,jj ) - pta_ad(ji,jj,ik,jn) * ( ahu_bbl(ji ,jj ) + ahu_bbl(ji-1,jj ) & |
---|
787 | & + ahv_bbl(ji ,jj ) + ahv_bbl(ji ,jj-1) ) * zbtr |
---|
788 | zptbad(ji+1,jj ) = zptbad(ji+1,jj ) + pta_ad(ji,jj,ik,jn) * ahu_bbl(ji ,jj ) * zbtr |
---|
789 | zptbad(ji-1,jj ) = zptbad(ji-1,jj ) + pta_ad(ji,jj,ik,jn) * ahu_bbl(ji-1,jj ) * zbtr |
---|
790 | zptbad(ji ,jj+1) = zptbad(ji ,jj+1) + pta_ad(ji,jj,ik,jn) * ahv_bbl(ji ,jj ) * zbtr |
---|
791 | zptbad(ji ,jj-1) = zptbad(ji ,jj-1) + pta_ad(ji,jj,ik,jn) * ahv_bbl(ji ,jj-1) * zbtr |
---|
792 | |
---|
793 | pta_ad(ji,jj,ik,jn) = pta_ad(ji,jj,ik,jn) & |
---|
794 | & + ( ahu_bbl(ji ,jj ) * ( zptbad(ji+1,jj ) - zptbad(ji ,jj ) ) & |
---|
795 | & - ahu_bbl(ji-1,jj ) * ( zptbad(ji ,jj ) - zptbad(ji-1,jj ) ) & |
---|
796 | & + ahv_bbl(ji ,jj ) * ( zptbad(ji ,jj+1) - zptbad(ji ,jj ) ) & |
---|
797 | & - ahv_bbl(ji ,jj-1) * ( zptbad(ji ,jj ) - zptbad(ji ,jj-1) ) ) * zbtr |
---|
798 | END DO |
---|
799 | END DO |
---|
800 | # if defined key_vectopt_loop |
---|
801 | DO jj = 1, 1 ! vector opt. (forced unrolling) |
---|
802 | DO ji = 1, jpij |
---|
803 | #else |
---|
804 | DO jj = 1, jpj |
---|
805 | DO ji = 1, jpi |
---|
806 | #endif |
---|
807 | ik = mbkt(ji,jj) ! bottom T-level index |
---|
808 | ptb_ad(ji,jj,ik,jn) = ptb_ad(ji,jj,ik,jn) + zptbad(ji,jj) |
---|
809 | zptbad(ji,jj) = 0.0_wp ! bottom before T and S |
---|
810 | END DO |
---|
811 | END DO |
---|
812 | ! ! =========== |
---|
813 | END DO ! end tracer |
---|
814 | ! ! =========== |
---|
815 | CALL wrk_dealloc( jpi, jpj, zptbad, zptb ) |
---|
816 | ! |
---|
817 | IF( nn_timing == 1 ) CALL timing_stop('tra_bbl_dif_adj') |
---|
818 | ! |
---|
819 | END SUBROUTINE tra_bbl_dif_adj |
---|
820 | |
---|
821 | |
---|
822 | SUBROUTINE tra_bbl_adv_adj( ptb, ptb_ad, pta_ad, kjpt ) |
---|
823 | !!---------------------------------------------------------------------- |
---|
824 | !! *** ROUTINE trc_bbl *** |
---|
825 | !! |
---|
826 | !! ** Purpose : Compute the before passive tracer trend associated |
---|
827 | !! with the bottom boundary layer and add it to the general trend |
---|
828 | !! of tracer equations. |
---|
829 | !! ** Method : advective bbl (nn_bbl_adv = 1 or 2) : |
---|
830 | !! nn_bbl_adv = 1 use of the ocean near bottom velocity as bbl velocity |
---|
831 | !! nn_bbl_adv = 2 follow Campin and Goosse (1999) implentation i.e. |
---|
832 | !! transport proportional to the along-slope density gradient |
---|
833 | !! |
---|
834 | !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. |
---|
835 | !! Campin, J.-M., and H. Goosse, 1999, Tellus, 412-430. |
---|
836 | !!---------------------------------------------------------------------- |
---|
837 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
838 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields |
---|
839 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: ptb_ad ! before and now adjoint tracer fields |
---|
840 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta_ad ! tracer trend |
---|
841 | ! |
---|
842 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
---|
843 | INTEGER :: iis , iid , ijs , ijd ! local integers |
---|
844 | INTEGER :: ikus, ikud, ikvs, ikvd ! - - |
---|
845 | REAL(wp) :: zbtr, ztra ! local scalars |
---|
846 | REAL(wp) :: ztraad ! - - |
---|
847 | REAL(wp) :: zu_bbl, zv_bbl ! - - |
---|
848 | REAL(wp) :: zu_bblad, zv_bblad ! - - |
---|
849 | !!---------------------------------------------------------------------- |
---|
850 | ! |
---|
851 | IF( nn_timing == 1 ) CALL timing_start( 'tra_bbl_adv_adj') |
---|
852 | ! |
---|
853 | zu_bblad = 0.0_wp ; zv_bblad = 0.0_wp |
---|
854 | ! ! =========== |
---|
855 | DO jn = 1, kjpt ! tracer loop |
---|
856 | ! ! =========== |
---|
857 | # if defined key_vectopt_loop |
---|
858 | DO jj = 1, 1 |
---|
859 | DO ji = jpij-jpi-1, 1, -1 ! vector opt. (forced unrolling) |
---|
860 | # else |
---|
861 | DO jj = jpjm1, 1, -1 |
---|
862 | DO ji = jpim1, 1, -1 ! CAUTION start from i=1 to update i=2 when cyclic east-west |
---|
863 | # endif |
---|
864 | IF( vtr_bbl(ji,jj) /= 0.e0 ) THEN ! non-zero j-direction bbl advection |
---|
865 | ! down-slope j/k-indices (deep) & up-slope j/k indices (shelf) |
---|
866 | ijd = jj + MAX( 0, mgrhv(ji,jj) ) ; ijs = jj + 1 - MAX( 0, mgrhv(ji,jj) ) |
---|
867 | ikvd = mbkv_d(ji,jj) ; ikvs = mbkv(ji,jj) |
---|
868 | zv_bbl = ABS ( vtr_bbl(ji,jj) ) |
---|
869 | ! ! down-slope T-point (deep bottom point) |
---|
870 | zbtr = r1_e1e2t(ji,ijd) / fse3t(ji,ijd,ikvd) |
---|
871 | ztraad = pta_ad(ji,ijd,ikvd,jn) |
---|
872 | zv_bblad = zv_bblad + ztraad * ( ptb(ji,ijs,ikvs,jn) - ptb(ji,ijd,ikvd,jn) ) * zbtr |
---|
873 | ptb_ad(ji,ijs,ikvs,jn) = ptb_ad(ji,ijs,ikvs,jn) + ztraad * zv_bbl * zbtr |
---|
874 | ptb_ad(ji,ijd,ikvd,jn) = ptb_ad(ji,ijd,ikvd,jn) - ztraad * zv_bbl * zbtr |
---|
875 | ! |
---|
876 | DO jk = ikvd-1, ikvs, -1 ! down-slope upper to down T-point (deep column) |
---|
877 | zbtr = r1_e1e2t(ji,ijd) / fse3t(ji,ijd,jk) |
---|
878 | ztraad = pta_ad(ji,ijd,jk,jn) |
---|
879 | zv_bblad = zv_bblad + ztraad * ( ptb(ji,ijd,jk+1,jn) - ptb(ji,ijd,jk,jn) ) * zbtr |
---|
880 | ptb_ad(ji,ijd,jk+1,jn) = ptb_ad(ji,ijd,jk+1,jn) + ztraad * zv_bbl * zbtr |
---|
881 | ptb_ad(ji,ijd,jk ,jn) = ptb_ad(ji,ijd,jk ,jn) - ztraad * zv_bbl * zbtr |
---|
882 | END DO |
---|
883 | ! up -slope T-point (shelf bottom point) |
---|
884 | zbtr = r1_e1e2t(ji,ijs) / fse3t(ji,ijs,ikvs) |
---|
885 | ztraad = pta_ad(ji,ijs,ikvs,jn) |
---|
886 | zv_bblad = zv_bblad + ztraad * ( ptb(ji,ijd,ikvs,jn) - ptb(ji,ijs,ikvs,jn) ) * zbtr |
---|
887 | ptb_ad(ji,ijd,ikvs,jn) = ptb_ad(ji,ijd,ikvs,jn) + ztraad * zv_bbl * zbtr |
---|
888 | ptb_ad(ji,ijs,ikvs,jn) = ptb_ad(ji,ijs,ikvs,jn) - ztraad * zv_bbl * zbtr |
---|
889 | |
---|
890 | ! |
---|
891 | vtr_bbl_ad(ji,jj) = vtr_bbl_ad(ji,jj) + SIGN( zv_bblad, vtr_bbl(ji,jj) ) |
---|
892 | zv_bblad = 0.0_wp |
---|
893 | ! |
---|
894 | ENDIF |
---|
895 | |
---|
896 | |
---|
897 | |
---|
898 | IF( utr_bbl(ji,jj) /= 0.e0 ) THEN ! non-zero i-direction bbl advection |
---|
899 | ! down-slope i/k-indices (deep) & up-slope i/k indices (shelf) |
---|
900 | iid = ji + MAX( 0, mgrhu(ji,jj) ) ; iis = ji + 1 - MAX( 0, mgrhu(ji,jj) ) |
---|
901 | ikud = mbku_d(ji,jj) ; ikus = mbku(ji,jj) |
---|
902 | zu_bbl = ABS( utr_bbl(ji,jj) ) |
---|
903 | ! |
---|
904 | zbtr = r1_e1e2t(iid,jj) / fse3t(iid,jj,ikud) |
---|
905 | ztraad = pta_ad(iid,jj,ikud,jn) |
---|
906 | zu_bblad = zu_bblad + ztraad * ( ptb(iis,jj,ikus,jn) - ptb(iid,jj,ikud,jn) ) * zbtr |
---|
907 | ptb_ad(iis,jj,ikus,jn) = ptb_ad(iis,jj,ikus,jn) + ztraad * zu_bbl * zbtr |
---|
908 | ptb_ad(iid,jj,ikud,jn) = ptb_ad(iid,jj,ikud,jn) + ztraad * zu_bbl * zbtr |
---|
909 | ! |
---|
910 | DO jk = ikus, ikud-1 ! down-slope upper to down T-point (deep column) |
---|
911 | zbtr = r1_e1e2t(iid,jj) / fse3t(iid,jj,jk) |
---|
912 | ztraad = pta_ad(iid,jj,jk,jn) |
---|
913 | zu_bblad = zu_bblad + ztraad * ( ptb(iid,jj,jk+1,jn) - ptb(iid,jj,jk,jn) ) * zbtr |
---|
914 | ptb_ad(iid,jj,jk+1,jn) = ptb_ad(iid,jj,jk+1,jn) + ztraad * zu_bbl * zbtr |
---|
915 | ptb_ad(iid,jj,jk ,jn) = ptb_ad(iid,jj,jk ,jn) - ztraad * zu_bbl * zbtr |
---|
916 | END DO |
---|
917 | ! ! up -slope T-point (shelf bottom point) |
---|
918 | zbtr = r1_e1e2t(iis,jj) / fse3t(iis,jj,ikus) |
---|
919 | ztraad = pta_ad(iis,jj,ikus,jn) |
---|
920 | zu_bblad = zu_bblad + ztraad * ( ptb(iid,jj,ikus,jn) - ptb(iis,jj,ikus,jn) ) * zbtr |
---|
921 | ptb_ad(iid,jj,ikus,jn) = ptb_ad(iid,jj,ikus,jn) + ztraad * zu_bbl * zbtr |
---|
922 | ptb_ad(iis,jj,ikus,jn) = ptb_ad(iis,jj,ikus,jn) - ztraad * zu_bbl * zbtr |
---|
923 | ! |
---|
924 | utr_bbl_ad(ji,jj) = utr_bbl_ad(ji,jj) + SIGN( zu_bblad, utr_bbl(ji,jj) ) |
---|
925 | zu_bblad = 0.0_wp |
---|
926 | ! |
---|
927 | ENDIF |
---|
928 | ! |
---|
929 | END DO |
---|
930 | ! |
---|
931 | END DO |
---|
932 | ! ! =========== |
---|
933 | END DO ! end tracer |
---|
934 | ! ! =========== |
---|
935 | ! |
---|
936 | IF( nn_timing == 1 ) CALL timing_stop( 'tra_bbl_adv_adj') |
---|
937 | ! |
---|
938 | END SUBROUTINE tra_bbl_adv_adj |
---|
939 | |
---|
940 | |
---|
941 | SUBROUTINE bbl_adj( kt, kit000, cdtype ) |
---|
942 | !!---------------------------------------------------------------------- |
---|
943 | !! *** ROUTINE bbl *** |
---|
944 | !! |
---|
945 | !! ** Purpose : Computes the bottom boundary horizontal and vertical |
---|
946 | !! advection terms. |
---|
947 | !! |
---|
948 | !! ** Method : |
---|
949 | !! * diffusive bbl (nn_bbl_ldf=1) : |
---|
950 | !! When the product grad( rho) * grad(h) < 0 (where grad is an |
---|
951 | !! along bottom slope gradient) an additional lateral 2nd order |
---|
952 | !! diffusion along the bottom slope is added to the general |
---|
953 | !! tracer trend, otherwise the additional trend is set to 0. |
---|
954 | !! A typical value of ahbt is 2000 m2/s (equivalent to |
---|
955 | !! a downslope velocity of 20 cm/s if the condition for slope |
---|
956 | !! convection is satified) |
---|
957 | !! * advective bbl (nn_bbl_adv=1 or 2) : |
---|
958 | !! nn_bbl_adv = 1 use of the ocean velocity as bbl velocity |
---|
959 | !! nn_bbl_adv = 2 follow Campin and Goosse (1999) implentation |
---|
960 | !! i.e. transport proportional to the along-slope density gradient |
---|
961 | !! |
---|
962 | !! NB: the along slope density gradient is evaluated using the |
---|
963 | !! local density (i.e. referenced at a common local depth). |
---|
964 | !! |
---|
965 | !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. |
---|
966 | !! Campin, J.-M., and H. Goosse, 1999, Tellus, 412-430. |
---|
967 | !!---------------------------------------------------------------------- |
---|
968 | ! |
---|
969 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
970 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
---|
971 | CHARACTER(len=3), INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
---|
972 | !! |
---|
973 | INTEGER :: ji, jj ! dummy loop indices |
---|
974 | INTEGER :: ik ! local integers |
---|
975 | INTEGER :: iis , iid , ijs , ijd ! - - |
---|
976 | INTEGER :: ikus, ikud, ikvs, ikvd ! - - |
---|
977 | REAL(wp) :: zsign, zsigna, zgbbl ! local scalars |
---|
978 | REAL(wp) :: zgdrho, zt, zs, zh ! - - |
---|
979 | REAL(wp) :: zgdrhoad, ztad, zsad, zhad! - - |
---|
980 | !! |
---|
981 | REAL(wp) :: fsalbt, fsbeta, pft, pfs, pfh ! statement function |
---|
982 | REAL(wp) :: pftad, pfsad, pfhad |
---|
983 | REAL(wp) :: fsalbt_adj_t, fsbeta_adj_t |
---|
984 | REAL(wp) :: fsalbt_adj_s, fsbeta_adj_s |
---|
985 | REAL(wp) :: fsalbt_adj_h, fsbeta_adj_h |
---|
986 | REAL(wp), POINTER, DIMENSION(:,:) :: zub, zvb, ztb, zsb, zdep |
---|
987 | REAL(wp), POINTER, DIMENSION(:,:) :: zubad, zvbad, ztbad, zsbad |
---|
988 | !!----------------------- zv_bbl----------------------------------------------- |
---|
989 | ! ratio alpha/beta = fsalbt : ratio of thermal over saline expension coefficients |
---|
990 | ! ================ pft : potential temperature in degrees celcius |
---|
991 | ! pfs : salinity anomaly (s-35) in psu |
---|
992 | ! pfh : depth in meters |
---|
993 | ! nn_eos = 0 (Jackett and McDougall 1994 formulation) |
---|
994 | fsalbt( pft, pfs, pfh ) = & ! alpha/beta |
---|
995 | ( ( ( -0.255019e-07 * pft + 0.298357e-05 ) * pft & |
---|
996 | - 0.203814e-03 ) * pft & |
---|
997 | + 0.170907e-01 ) * pft & |
---|
998 | + 0.665157e-01 & |
---|
999 | +(-0.678662e-05 * pfs - 0.846960e-04 * pft + 0.378110e-02 ) * pfs & |
---|
1000 | + ( ( - 0.302285e-13 * pfh & |
---|
1001 | - 0.251520e-11 * pfs & |
---|
1002 | + 0.512857e-12 * pft * pft ) * pfh & |
---|
1003 | - 0.164759e-06 * pfs & |
---|
1004 | +( 0.791325e-08 * pft - 0.933746e-06 ) * pft & |
---|
1005 | + 0.380374e-04 ) * pfh |
---|
1006 | fsbeta( pft, pfs, pfh ) = & ! beta |
---|
1007 | ( ( -0.415613e-09 * pft + 0.555579e-07 ) * pft & |
---|
1008 | - 0.301985e-05 ) * pft & |
---|
1009 | + 0.785567e-03 & |
---|
1010 | + ( 0.515032e-08 * pfs & |
---|
1011 | + 0.788212e-08 * pft - 0.356603e-06 ) * pfs & |
---|
1012 | +( ( 0.121551e-17 * pfh & |
---|
1013 | - 0.602281e-15 * pfs & |
---|
1014 | - 0.175379e-14 * pft + 0.176621e-12 ) * pfh & |
---|
1015 | + 0.408195e-10 * pfs & |
---|
1016 | + ( - 0.213127e-11 * pft + 0.192867e-09 ) * pft & |
---|
1017 | - 0.121555e-07 ) * pfh |
---|
1018 | |
---|
1019 | fsalbt_adj_t( pft, pfs, pfh, pftad ) = & ! alpha/beta |
---|
1020 | & ( - 0.255019e-07 * 4 * pft * pft * pft & |
---|
1021 | & + 0.298357e-05 * 3 * pft * pft & |
---|
1022 | & - 0.203814e-03 * 2 * pft & |
---|
1023 | & - 0.846960e-04 * pfs & |
---|
1024 | & + 0.512857e-12 * 2 * pft * pfh * pfh & |
---|
1025 | & + 0.791325e-08 * pft * pfh & |
---|
1026 | & - 0.933746e-06 * pfh & |
---|
1027 | & + 0.170907e-01 ) * pftad |
---|
1028 | |
---|
1029 | fsalbt_adj_s( pft, pfs, pfh, pfsad ) = & ! alpha/beta |
---|
1030 | & + ( - 0.678662e-05 * 2 * pfs & |
---|
1031 | & - 0.846960e-04 * pft & |
---|
1032 | & - 0.251520e-11 * pfh * pfh & |
---|
1033 | & - 0.164759e-06 * pfh & |
---|
1034 | & + 0.378110e-02 ) * pfsad |
---|
1035 | |
---|
1036 | fsalbt_adj_h( pft, pfs, pfh, pfhad ) = & ! alpha/beta |
---|
1037 | & + ( - 0.302285e-13 * 3 * pfh * pfh & |
---|
1038 | & - 0.251520e-11 * pfs * pfh & |
---|
1039 | & + 0.512857e-12 * pft * pft * pfh & |
---|
1040 | & - 0.164759e-06 * pfs & |
---|
1041 | & + 0.791325e-08 * pft * pft & |
---|
1042 | & - 0.933746e-06 * pft & |
---|
1043 | & + 0.380374e-04 ) * pfhad |
---|
1044 | |
---|
1045 | |
---|
1046 | fsbeta_adj_t( pft, pfs, pfh, pftad ) = & ! beta |
---|
1047 | & ( - 0.415613e-09 * 3 * pft * pft & |
---|
1048 | & + 0.555579e-07 * 2 * pft & |
---|
1049 | & - 0.301985e-05 & |
---|
1050 | & + 0.788212e-08 * pfs & |
---|
1051 | & - 0.213127e-11 * 2 * pfh * pft & |
---|
1052 | & - 0.175379e-14 * pfh * pfh ) * pftad |
---|
1053 | fsbeta_adj_s( pft, pfs, pfh, pfsad ) = & ! beta |
---|
1054 | & ( 0.788212e-08 * pft & |
---|
1055 | & + 0.515032e-08 * 2 * pfs & |
---|
1056 | & - 0.356603e-06 & |
---|
1057 | & + 0.408195e-10 * pfh & |
---|
1058 | & - 0.602281e-15 * pfh * pfh ) * pfsad |
---|
1059 | fsbeta_adj_h( pft, pfs, pfh, pfhad ) = & ! beta |
---|
1060 | & ( 0.121551e-17 * 3 * pfh * pfh & |
---|
1061 | & - 0.602281e-15 * 2 * pfs * pfh & |
---|
1062 | & - 0.175379e-14 * 2 * pft * pfh & |
---|
1063 | & + 0.176621e-12 * 2 * pfh & |
---|
1064 | & + 0.408195e-10 * pfs & |
---|
1065 | & + 0.192867e-09 * pfh & |
---|
1066 | & - 0.213127e-11 * pft * pft & |
---|
1067 | & + 0.192867e-09 * pft & |
---|
1068 | & - 0.121555e-07 ) * pfhad |
---|
1069 | !!---------------------------------------------------------------------- |
---|
1070 | |
---|
1071 | ! |
---|
1072 | IF( nn_timing == 1 ) CALL timing_start( 'bbl_adj') |
---|
1073 | ! |
---|
1074 | CALL wrk_alloc( jpi, jpj, zub , zvb , ztb , zsb, zdep, & |
---|
1075 | & zubad, zvbad, ztbad, zsbad ) |
---|
1076 | ! |
---|
1077 | zubad(:,:) = 0.0_wp ; zvbad(:,:) = 0.0_wp ; ztbad(:,:) = 0.0_wp ; zsbad(:,:) = 0.0_wp |
---|
1078 | |
---|
1079 | IF( kt == kit000 ) THEN |
---|
1080 | IF(lwp) WRITE(numout,*) |
---|
1081 | IF(lwp) WRITE(numout,*) 'trabbl_tam:bbl_adj : Compute bbl velocities and diffusive coefficients in ', cdtype |
---|
1082 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~' |
---|
1083 | ENDIF |
---|
1084 | ! !* bottom temperature, salinity, velocity and depth |
---|
1085 | #if defined key_vectopt_loop |
---|
1086 | DO jj = 1, 1 ! vector opt. (forced unrolling) |
---|
1087 | DO ji = 1, jpij |
---|
1088 | #else |
---|
1089 | DO jj = 1, jpj |
---|
1090 | DO ji = 1, jpi |
---|
1091 | #endif |
---|
1092 | ik = mbkt(ji,jj) ! bottom T-level index |
---|
1093 | ztb (ji,jj) = tsb(ji,jj,ik,jp_tem) * tmask(ji,jj,1) ! bottom before T and S |
---|
1094 | zsb (ji,jj) = tsb(ji,jj,ik,jp_sal) * tmask(ji,jj,1) |
---|
1095 | zdep(ji,jj) = fsdept_0(ji,jj,ik) ! bottom T-level reference depth |
---|
1096 | ! |
---|
1097 | zub(ji,jj) = un(ji,jj,mbku(ji,jj)) ! bottom velocity |
---|
1098 | zvb(ji,jj) = vn(ji,jj,mbkv(ji,jj)) |
---|
1099 | END DO |
---|
1100 | END DO |
---|
1101 | ! !-------------------! |
---|
1102 | IF( nn_bbl_adv /= 0 ) THEN ! advective bbl ! |
---|
1103 | ! !-------------------! |
---|
1104 | SELECT CASE ( nn_bbl_adv ) !* bbl transport type |
---|
1105 | ! |
---|
1106 | CASE( 1 ) != use of upper velocity |
---|
1107 | ! NOTE: not much needed for deriving, almost all the computations are for the SIGN, which is kept as in the NL |
---|
1108 | DO jj = 1, jpjm1 ! criteria: grad(rho).grad(h)<0 and grad(rho).grad(h)<0 |
---|
1109 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
1110 | ! ! j-direction |
---|
1111 | zt = 0.5 * ( ztb (ji,jj+1) + ztb (ji,jj) ) ! T, S anomalie, and depth |
---|
1112 | zs = 0.5 * ( zsb (ji,jj+1) + zsb (ji,jj) ) - 35.0 |
---|
1113 | zh = 0.5 * ( zdep(ji,jj+1) + zdep(ji,jj) ) |
---|
1114 | ! ! masked bbl j-gradient of density |
---|
1115 | zgdrho = ( fsalbt( zt, zs, zh ) * ( ztb(ji,jj+1) - ztb(ji,jj) ) & |
---|
1116 | & - ( zsb(ji,jj+1) - zsb(ji,jj) ) ) * vmask(ji,jj,1) |
---|
1117 | zsign = SIGN( 0.5, - zgdrho * REAL( mgrhv(ji,jj) ) ) ! sign of j-gradient * j-slope |
---|
1118 | zsigna= SIGN( 0.5, zvb(ji,jj) * REAL( mgrhv(ji,jj) ) ) ! sign of u * i-slope |
---|
1119 | ! |
---|
1120 | ! ! bbl velocity |
---|
1121 | zvbad(ji,jj) = zvbad(ji,jj) + vtr_bbl_ad(ji,jj) * ( 0.5 + zsigna ) * ( 0.5 - zsign ) & |
---|
1122 | & * e1v(ji,jj) * e3v_bbl_0(ji,jj) |
---|
1123 | vtr_bbl_ad(ji,jj) = 0.0_wp |
---|
1124 | ! ! i-direction |
---|
1125 | zt = 0.5 * ( ztb (ji,jj) + ztb (ji+1,jj) ) ! T, S anomalie, and depth |
---|
1126 | zs = 0.5 * ( zsb (ji,jj) + zsb (ji+1,jj) ) - 35.0 |
---|
1127 | zh = 0.5 * ( zdep(ji,jj) + zdep(ji+1,jj) ) |
---|
1128 | ! ! masked bbl i-gradient of density |
---|
1129 | zgdrho = ( fsalbt( zt, zs, zh ) * ( ztb(ji+1,jj) - ztb(ji,jj) ) & |
---|
1130 | & - ( zsb(ji+1,jj) - zsb(ji,jj) ) ) * umask(ji,jj,1) |
---|
1131 | ! |
---|
1132 | zsign = SIGN( 0.5, - zgdrho * REAL( mgrhu(ji,jj) ) ) ! sign of i-gradient * i-slope |
---|
1133 | zsigna= SIGN( 0.5, zub(ji,jj) * REAL( mgrhu(ji,jj) ) ) ! sign of u * i-slope |
---|
1134 | ! |
---|
1135 | ! ! bbl velocity |
---|
1136 | zubad(ji,jj) = zubad(ji,jj) + utr_bbl_ad(ji,jj) * ( 0.5 + zsigna ) * ( 0.5 - zsign ) & |
---|
1137 | & * e2u(ji,jj) * e3u_bbl_0(ji,jj) |
---|
1138 | utr_bbl_ad(ji,jj) = 0.0_wp |
---|
1139 | ! |
---|
1140 | END DO |
---|
1141 | END DO |
---|
1142 | ! |
---|
1143 | CASE( 2 ) != bbl velocity = F( delta rho ) |
---|
1144 | ! NOTE: this one is nastier |
---|
1145 | zgbbl = grav * rn_gambbl |
---|
1146 | DO jj = jpjm1, 1, -1 ! criteria: rho_up > rho_down |
---|
1147 | DO ji = fs_jpim1, 1, -1 ! vector opt. |
---|
1148 | ! ! j-direction |
---|
1149 | ! down-slope T-point j/k-index (deep) & of the up -slope T-point j/k-index (shelf) |
---|
1150 | ijd = jj + MAX( 0, mgrhv(ji,jj) ) ; ijs = jj + 1 - MAX( 0, mgrhv(ji,jj) ) |
---|
1151 | ikvd = mbkv_d(ji,jj) ; ikvs = mbkv(ji,jj) |
---|
1152 | ! |
---|
1153 | ! ! mid-depth density anomalie (up-slope minus down-slope) |
---|
1154 | zt = 0.5 * ( ztb (ji,jj) + ztb (ji,jj+1) ) ! mid slope depth of T, S, and depth |
---|
1155 | zs = 0.5 * ( zsb (ji,jj) + zsb (ji,jj+1) ) - 35.0 |
---|
1156 | zh = 0.5 * ( zdep(ji,jj) + zdep(ji,jj+1) ) |
---|
1157 | zgdrho = fsbeta( zt, zs, zh ) & |
---|
1158 | & * ( fsalbt( zt, zs, zh ) * ( ztb(ji,ijd) - ztb(ji,ijs) ) & |
---|
1159 | & - ( zsb(ji,ijd) - zsb(ji,ijs) ) ) * vmask(ji,jj,1) |
---|
1160 | ! |
---|
1161 | zsign = SIGN( 0.5_wp, zgdrho ) ! adjoint of zgdrho = MAX( 0.e0, zgdrho ) |
---|
1162 | ! ! bbl transport (down-slope direction) |
---|
1163 | zgdrhoad = zsign * e1v(ji,jj) * e3v_bbl_0(ji,jj) * zgbbl * vtr_bbl_ad(ji,jj) * REAL( mgrhv(ji,jj) ) |
---|
1164 | vtr_bbl_ad(ji,jj) = 0.0_wp |
---|
1165 | |
---|
1166 | ztad = ( fsbeta_adj_t( zt, zs, zh, zgdrhoad ) & |
---|
1167 | & * ( fsalbt( zt, zs, zh ) * ( ztb(ji,ijd) - ztb(ji,ijs) ) & |
---|
1168 | & - ( zsb(ji,ijd) - zsb(ji,ijs) ) ) & |
---|
1169 | & + fsbeta( zt, zs, zh ) * fsalbt_adj_t( zt, zs, zh, zgdrhoad ) & |
---|
1170 | & * ( ztb(ji,ijd) - ztb(ji,ijs) ) & |
---|
1171 | & ) * vmask(ji,jj,1) |
---|
1172 | zsad = ( fsbeta_adj_s( zt, zs, zh, zgdrhoad ) & |
---|
1173 | & * ( fsalbt( zt, zs, zh ) * ( ztb(ji,ijd) - ztb(ji,ijs) ) & |
---|
1174 | & - ( zsb(ji,ijd) - zsb(ji,ijs) ) ) & |
---|
1175 | & + fsbeta( zt, zs, zh ) * fsalbt_adj_s( zt, zs, zh, zgdrhoad ) & |
---|
1176 | & * ( ztb(ji,ijd) - ztb(ji,ijs) ) & |
---|
1177 | & ) * vmask(ji,jj,1) |
---|
1178 | zhad = ( fsbeta_adj_h( zt, zs, zh, zgdrhoad ) & |
---|
1179 | & * ( fsalbt( zt, zs, zh ) * ( ztb(ji,ijd) - ztb(ji,ijs) ) & |
---|
1180 | & - ( zsb(ji,ijd) - zsb(ji,ijs) ) ) & |
---|
1181 | & + fsbeta( zt, zs, zh ) * fsalbt_adj_h( zt, zs, zh, zgdrhoad ) & |
---|
1182 | & * ( ztb(ji,ijd) - ztb(ji,ijs) ) & |
---|
1183 | & ) * vmask(ji,jj,1) |
---|
1184 | |
---|
1185 | ztbad(ji,ijd) = ztbad(ji,ijd) + zgdrhoad * fsbeta( zt, zs, zh ) * fsalbt( zt, zs, zh ) * vmask(ji,jj,1) |
---|
1186 | ztbad(ji,ijs) = ztbad(ji,ijs) - zgdrhoad * fsbeta( zt, zs, zh ) * fsalbt( zt, zs, zh ) * vmask(ji,jj,1) |
---|
1187 | zsbad(ji,ijd) = zsbad(ji,ijd) - zgdrhoad * fsbeta( zt, zs, zh ) * vmask(ji,jj,1) |
---|
1188 | zsbad(ji,ijs) = zsbad(ji,ijs) + zgdrhoad * fsbeta( zt, zs, zh ) * vmask(ji,jj,1) |
---|
1189 | |
---|
1190 | ztbad (ji,jj ) = ztbad (ji,jj ) + 0.5 * ztad |
---|
1191 | ztbad (ji,jj+1) = ztbad (ji,jj+1) + 0.5 * ztad |
---|
1192 | zsbad (ji,jj ) = zsbad (ji,jj ) + 0.5 * zsad |
---|
1193 | zsbad (ji,jj+1) = zsbad (ji,jj+1) + 0.5 * zsad |
---|
1194 | ztad = 0.0_wp ; zsad = 0.0_wp ; zhad = 0.0_wp |
---|
1195 | |
---|
1196 | ! ! i-direction |
---|
1197 | ! down-slope T-point i/k-index (deep) & up-slope T-point i/k-index (shelf) |
---|
1198 | iid = ji + MAX( 0, mgrhu(ji,jj) ) ; iis = ji + 1 - MAX( 0, mgrhu(ji,jj) ) |
---|
1199 | ikud = mbku_d(ji,jj) ; ikus = mbku(ji,jj) |
---|
1200 | ! |
---|
1201 | ! ! mid-depth density anomalie (up-slope minus down-slope) |
---|
1202 | zt = 0.5 * ( ztb (ji,jj) + ztb (ji+1,jj) ) ! mid slope depth of T, S, and depth |
---|
1203 | zs = 0.5 * ( zsb (ji,jj) + zsb (ji+1,jj) ) - 35.0 |
---|
1204 | zh = 0.5 * ( zdep(ji,jj) + zdep(ji+1,jj) ) |
---|
1205 | zgdrho = fsbeta( zt, zs, zh ) & |
---|
1206 | & * ( fsalbt( zt, zs, zh ) * ( ztb(iid,jj) - ztb(iis,jj) ) & |
---|
1207 | & - ( zsb(iid,jj) - zsb(iis,jj) ) ) * umask(ji,jj,1) |
---|
1208 | zsign = SIGN( 0.5_wp, zgdrho ) ! adjoint of zgdrho = MAX( 0.e0, zgdrho ) |
---|
1209 | ! ! bbl transport (down-slope direction) |
---|
1210 | zgdrhoad = zsign * e2u(ji,jj) * e3u_bbl_0(ji,jj) * zgbbl * utr_bbl_ad(ji,jj) * REAL( mgrhu(ji,jj) ) |
---|
1211 | utr_bbl_ad(ji,jj) = 0.0_wp |
---|
1212 | ! |
---|
1213 | ztad = ( fsbeta_adj_t( zt, zs, zh, zgdrhoad ) & |
---|
1214 | & * ( fsalbt( zt, zs, zh ) * ( ztb(iid,jj) - ztb(iis, jj) ) & |
---|
1215 | & - ( zsb(iid,jj) - zsb(iis, jj) ) ) & |
---|
1216 | & + fsbeta( zt, zs, zh ) * fsalbt_adj_t( zt, zs, zh, zgdrhoad ) & |
---|
1217 | & * ( ztb(iid,jj) - ztb(iis, jj) ) & |
---|
1218 | & ) * umask(ji,jj,1) |
---|
1219 | zsad = ( fsbeta_adj_s( zt, zs, zh, zgdrhoad ) & |
---|
1220 | & * ( fsalbt( zt, zs, zh ) * ( ztb(iid,jj) - ztb(iis, jj) ) & |
---|
1221 | & - ( zsb(iid,jj) - zsb(iis, jj) ) ) & |
---|
1222 | & + fsbeta( zt, zs, zh ) * fsalbt_adj_s( zt, zs, zh, zgdrhoad ) & |
---|
1223 | & * ( ztb(iid,jj) - ztb(iis, jj) ) & |
---|
1224 | & ) * umask(ji,jj,1) |
---|
1225 | zhad = ( fsbeta_adj_h( zt, zs, zh, zgdrhoad ) & |
---|
1226 | & * ( fsalbt( zt, zs, zh ) * ( ztb(iid,jj) - ztb(iis, jj) ) & |
---|
1227 | & - ( zsb(iid,jj) - zsb(iis, jj) ) ) & |
---|
1228 | & + fsbeta( zt, zs, zh ) * fsalbt_adj_h( zt, zs, zh, zgdrhoad ) & |
---|
1229 | & * ( ztb(iid,jj) - ztb(iis, jj) ) & |
---|
1230 | & ) * umask(ji,jj,1) |
---|
1231 | |
---|
1232 | ztbad(iid,jj) = ztbad(iid,jj) + zgdrhoad * fsbeta( zt, zs, zh ) * fsalbt( zt, zs, zh ) * umask(ji,jj,1) |
---|
1233 | ztbad(iis,jj) = ztbad(iis,jj) - zgdrhoad * fsbeta( zt, zs, zh ) * fsalbt( zt, zs, zh ) * umask(ji,jj,1) |
---|
1234 | zsbad(iid,jj) = zsbad(iid,jj) - zgdrhoad * fsbeta( zt, zs, zh ) * umask(ji,jj,1) |
---|
1235 | zsbad(iis,jj) = zsbad(iis,jj) + zgdrhoad * fsbeta( zt, zs, zh ) * umask(ji,jj,1) |
---|
1236 | zgdrhoad = 0.0_wp |
---|
1237 | |
---|
1238 | ztbad (ji,jj ) = ztbad (ji,jj ) + 0.5 * ztad |
---|
1239 | ztbad (ji+1,jj) = ztbad (ji+1,jj) + 0.5 * ztad |
---|
1240 | zsbad (ji,jj ) = zsbad (ji,jj ) + 0.5 * zsad |
---|
1241 | zsbad (ji+1,jj) = zsbad (ji+1,jj) + 0.5 * zsad |
---|
1242 | ztad = 0.0_wp ; zsad = 0.0_wp ; zhad = 0.0_wp |
---|
1243 | ! |
---|
1244 | END DO |
---|
1245 | END DO |
---|
1246 | END SELECT |
---|
1247 | ! |
---|
1248 | ENDIF |
---|
1249 | IF( nn_bbl_ldf == 1 ) THEN ! diffusive bbl ! |
---|
1250 | ! !-------------------! |
---|
1251 | ! NOTE : while rn_ahtbbl remains a passive variable, the code below will only yield ah_bbl_ad=0 |
---|
1252 | #if defined key_control_param |
---|
1253 | DO jj = 1, jpjm1 ! (criteria for non zero flux: grad(rho).grad(h) < 0 ) |
---|
1254 | DO ji = 1, jpim1 |
---|
1255 | ! ! j-direction |
---|
1256 | zt = 0.5 * ( ztb (ji,jj+1) + ztb (ji,jj) ) ! T, S anomalie, and depth |
---|
1257 | zs = 0.5 * ( zsb (ji,jj+1) + zsb (ji,jj) ) - 35.0 |
---|
1258 | zh = 0.5 * ( zdep(ji,jj+1) + zdep(ji,jj) ) |
---|
1259 | ! ! masked bbl j-gradient of density |
---|
1260 | zgdrho = ( fsalbt( zt, zs, zh ) * ( ztb(ji,jj+1) - ztb(ji,jj) ) & |
---|
1261 | & - ( zsb(ji,jj+1) - zsb(ji,jj) ) ) * vmask(ji,jj,1) |
---|
1262 | ! |
---|
1263 | zsign = SIGN( 0.5, -zgdrho * REAL( mgrhv(ji,jj) ) ) ! sign of ( j-gradient * j-slope ) |
---|
1264 | ahv_bbl_0_ad(ji,jj) = ( 0.5 - zsign ) * ahv_bbl_ad(ji,jj) |
---|
1265 | ahv_bbl_ad(ji,jj) = 0.0_wp |
---|
1266 | ! |
---|
1267 | ! ! i-direction |
---|
1268 | zt = 0.5 * ( ztb (ji,jj) + ztb (ji+1,jj) ) ! T, S anomalie, and depth |
---|
1269 | zs = 0.5 * ( zsb (ji,jj) + zsb (ji+1,jj) ) - 35.0 |
---|
1270 | zh = 0.5 * ( zdep(ji,jj) + zdep(ji+1,jj) ) |
---|
1271 | ! ! masked bbl i-gradient of density |
---|
1272 | zgdrho = ( fsalbt( zt, zs, zh ) * ( ztb(ji+1,jj) - ztb(ji,jj) ) & |
---|
1273 | & - ( zsb(ji+1,jj) - zsb(ji,jj) ) ) * umask(ji,jj,1) |
---|
1274 | ! |
---|
1275 | zsign = SIGN( 0.5, - zgdrho * REAL( mgrhu(ji,jj) ) ) ! sign of ( i-gradient * i-slope ) |
---|
1276 | ahu_bbl_0_ad(ji,jj) = ( 0.5 - zsign ) * ahu_bbl_ad(ji,jj) ! masked diffusive flux coeff. |
---|
1277 | ahu_bbl_ad(ji,jj) = 0.0_wp |
---|
1278 | ! |
---|
1279 | END DO |
---|
1280 | END DO |
---|
1281 | #else |
---|
1282 | DO jj = 1, jpjm1 |
---|
1283 | DO ji = 1, jpim1 |
---|
1284 | ahu_bbl_ad(ji,jj)=0.0_wp |
---|
1285 | ahv_bbl_ad(ji,jj)=0.0_wp |
---|
1286 | END DO |
---|
1287 | END DO |
---|
1288 | #endif |
---|
1289 | ! |
---|
1290 | ENDIF |
---|
1291 | ! !* bottom temperature, salinity, velocity and depth |
---|
1292 | #if defined key_vectopt_loop |
---|
1293 | DO jj = 1, 1 ! vector opt. (forced unrolling) |
---|
1294 | DO ji = 1, jpij |
---|
1295 | #else |
---|
1296 | DO jj = 1, jpj |
---|
1297 | DO ji = 1, jpi |
---|
1298 | #endif |
---|
1299 | ik = mbkt(ji,jj) ! bottom T-level index |
---|
1300 | tsb_ad(ji,jj,ik,jp_tem) = tsb_ad(ji,jj,ik,jp_tem) + ztbad(ji,jj) * tmask(ji,jj,1) |
---|
1301 | tsb_ad(ji,jj,ik,jp_sal) = tsb_ad(ji,jj,ik,jp_sal) + zsbad(ji,jj) * tmask(ji,jj,1) |
---|
1302 | ztbad (ji,jj) = 0.0_wp |
---|
1303 | zsbad (ji,jj) = 0.0_wp |
---|
1304 | END DO |
---|
1305 | END DO |
---|
1306 | ! !-------------------! |
---|
1307 | ! |
---|
1308 | CALL wrk_dealloc( jpi, jpj, zub , zvb , ztb , zsb, zdep, & |
---|
1309 | & ztbad, zsbad, ztbad, zsbad ) |
---|
1310 | ! |
---|
1311 | IF( nn_timing == 1 ) CALL timing_stop( 'bbl_adj') |
---|
1312 | ! |
---|
1313 | END SUBROUTINE bbl_adj |
---|
1314 | |
---|
1315 | |
---|
1316 | SUBROUTINE tra_bbl_init_tam |
---|
1317 | !!---------------------------------------------------------------------- |
---|
1318 | !! *** ROUTINE tra_bbl_init *** |
---|
1319 | !! |
---|
1320 | !! ** Purpose : Initialization for the bottom boundary layer scheme. |
---|
1321 | !! |
---|
1322 | !! ** Method : |
---|
1323 | !!---------------------------------------------------------------------- |
---|
1324 | ! |
---|
1325 | integer :: ierr |
---|
1326 | IF( nn_timing == 1 ) CALL timing_start( 'tra_bbl_init_tam') |
---|
1327 | ! |
---|
1328 | ierr = tra_bbl_alloc_tam( 0 ) |
---|
1329 | |
---|
1330 | ahu_bbl_0_tl = 0.0_wp |
---|
1331 | ahv_bbl_0_tl = 0.0_wp |
---|
1332 | ahu_bbl_0_ad = 0.0_wp |
---|
1333 | ahv_bbl_0_ad = 0.0_wp |
---|
1334 | ! |
---|
1335 | IF( nn_timing == 1 ) CALL timing_stop( 'tra_bbl_init_tam') |
---|
1336 | ! |
---|
1337 | END SUBROUTINE tra_bbl_init_tam |
---|
1338 | |
---|
1339 | SUBROUTINE tra_bbl_adj_tst( kumadt ) |
---|
1340 | !!----------------------------------------------------------------------- |
---|
1341 | !! |
---|
1342 | !! *** ROUTINE tra_bbl_adj_tst *** |
---|
1343 | !! |
---|
1344 | !! ** Purpose : Test the adjoint routine. |
---|
1345 | !! |
---|
1346 | !! ** Method : Verify the scalar product |
---|
1347 | !! |
---|
1348 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
1349 | !! |
---|
1350 | !! where L = tangent routine |
---|
1351 | !! L^T = adjoint routine |
---|
1352 | !! W = diagonal matrix of scale factors |
---|
1353 | !! dx = input perturbation (random field) |
---|
1354 | !! dy = L dx |
---|
1355 | !! |
---|
1356 | !! |
---|
1357 | !! History : |
---|
1358 | !! ! 08-08 (A. Vidard) |
---|
1359 | !!----------------------------------------------------------------------- |
---|
1360 | !! * Modules used |
---|
1361 | |
---|
1362 | !! * Arguments |
---|
1363 | INTEGER, INTENT(IN) :: & |
---|
1364 | & kumadt ! Output unit |
---|
1365 | |
---|
1366 | !! * Local declarations |
---|
1367 | INTEGER :: & |
---|
1368 | & ji, & ! dummy loop indices |
---|
1369 | & jj, & |
---|
1370 | & jk, & |
---|
1371 | & jtst |
---|
1372 | INTEGER :: & |
---|
1373 | & jsav1, & |
---|
1374 | & jsav2 |
---|
1375 | REAL(KIND=wp) :: & |
---|
1376 | & zsp1, & ! scalar product involving the tangent routine |
---|
1377 | & zsp2 ! scalar product involving the adjoint routine |
---|
1378 | REAL(KIND=wp), POINTER, DIMENSION(:,:,:,:) :: & |
---|
1379 | & ztsa_tlin , & ! Tangent input |
---|
1380 | & ztsa_tlout, & |
---|
1381 | & ztsb_tlin , & |
---|
1382 | & ztsa_adout, & ! Adjoint input |
---|
1383 | & ztsa_adin , & |
---|
1384 | & ztsb_adout, & |
---|
1385 | & zrts ! 2*3D random field |
---|
1386 | REAL(KIND=wp), POINTER, DIMENSION(:,:) :: & |
---|
1387 | & zutr_tlin , & |
---|
1388 | & zutr_tlout, & |
---|
1389 | & zvtr_tlin , & |
---|
1390 | & zvtr_tlout, & |
---|
1391 | & zutr_adout, & |
---|
1392 | & zutr_adin , & |
---|
1393 | & zvtr_adout, & |
---|
1394 | & zvtr_adin , & |
---|
1395 | & zr2 ! 2D random field |
---|
1396 | CHARACTER(LEN=14) :: & |
---|
1397 | & cl_name |
---|
1398 | ! Allocate memory |
---|
1399 | |
---|
1400 | CALL wrk_alloc( jpi, jpj, jpk, jpts, ztsa_tlin , ztsa_tlout, ztsb_tlin , & |
---|
1401 | & ztsa_adout, ztsa_adin , ztsb_adout, & |
---|
1402 | & zrts ) |
---|
1403 | CALL wrk_alloc( jpi, jpj, zutr_tlin , zutr_tlout, zvtr_tlin , zvtr_tlout, & |
---|
1404 | & zutr_adout, zutr_adin , zvtr_adout, zvtr_adin , & |
---|
1405 | & zr2 ) |
---|
1406 | |
---|
1407 | CALL grid_random( utr_bbl(:,:), 'U', 0.0_wp, stdu ) |
---|
1408 | CALL grid_random( vtr_bbl(:,:), 'V', 0.0_wp, stdv ) |
---|
1409 | |
---|
1410 | jsav1 = nn_bbl_ldf |
---|
1411 | jsav2 = nn_bbl_adv |
---|
1412 | |
---|
1413 | DO jtst = 1, 2 |
---|
1414 | !================================================================== |
---|
1415 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
---|
1416 | ! dy = ( hdivb_tl, hdivn_tl ) |
---|
1417 | !================================================================== |
---|
1418 | |
---|
1419 | SELECT CASE( jtst) |
---|
1420 | CASE ( 1 ) |
---|
1421 | nn_bbl_ldf = 1 |
---|
1422 | nn_bbl_adv = 0 |
---|
1423 | CASE ( 2 ) |
---|
1424 | nn_bbl_ldf = 0 |
---|
1425 | nn_bbl_adv = 1 |
---|
1426 | CASE ( 3 ) |
---|
1427 | nn_bbl_ldf = 0 |
---|
1428 | nn_bbl_adv = 2 |
---|
1429 | END SELECT |
---|
1430 | !-------------------------------------------------------------------- |
---|
1431 | ! Reset the tangent and adjoint variables |
---|
1432 | !-------------------------------------------------------------------- |
---|
1433 | ztsa_tlin (:,:,:,:) = 0.0_wp |
---|
1434 | ztsa_tlout(:,:,:,:) = 0.0_wp |
---|
1435 | ztsb_tlin (:,:,:,:) = 0.0_wp |
---|
1436 | ztsa_adout(:,:,:,:) = 0.0_wp |
---|
1437 | ztsa_adin (:,:,:,:) = 0.0_wp |
---|
1438 | ztsb_adout(:,:,:,:) = 0.0_wp |
---|
1439 | |
---|
1440 | zutr_tlin (:,:) = 0.0_wp |
---|
1441 | zutr_tlout(:,:) = 0.0_wp |
---|
1442 | zvtr_tlin (:,:) = 0.0_wp |
---|
1443 | zvtr_tlout(:,:) = 0.0_wp |
---|
1444 | zutr_adout(:,:) = 0.0_wp |
---|
1445 | zutr_adin (:,:) = 0.0_wp |
---|
1446 | zvtr_adout(:,:) = 0.0_wp |
---|
1447 | zvtr_adin (:,:) = 0.0_wp |
---|
1448 | |
---|
1449 | tsb_ad(:,:,:,:) = 0.0_wp |
---|
1450 | !-------------------------------------------------------------------- |
---|
1451 | ! Initialize the tangent input with random noise: dx |
---|
1452 | !-------------------------------------------------------------------- |
---|
1453 | |
---|
1454 | CALL grid_random( zrts(:,:,:,jp_tem), 'T', 0.0_wp, stdt ) |
---|
1455 | CALL grid_random( zrts(:,:,:,jp_sal), 'T', 0.0_wp, stds ) |
---|
1456 | DO jk = 1, jpk |
---|
1457 | DO jj = nldj, nlej |
---|
1458 | DO ji = nldi, nlei |
---|
1459 | ztsa_tlin(ji,jj,jk,:) = zrts(ji,jj,jk,:) |
---|
1460 | END DO |
---|
1461 | END DO |
---|
1462 | END DO |
---|
1463 | |
---|
1464 | CALL grid_random( zrts(:,:,:,jp_tem), 'T', 0.0_wp, stdt ) |
---|
1465 | CALL grid_random( zrts(:,:,:,jp_sal), 'T', 0.0_wp, stds ) |
---|
1466 | DO jk = 1, jpk |
---|
1467 | DO jj = nldj, nlej |
---|
1468 | DO ji = nldi, nlei |
---|
1469 | ztsb_tlin(ji,jj,jk,:) = zrts(ji,jj,jk,:) |
---|
1470 | END DO |
---|
1471 | END DO |
---|
1472 | END DO |
---|
1473 | |
---|
1474 | CALL grid_random( zr2(:,:), 'U', 0.0_wp, stdu ) |
---|
1475 | DO jj = nldj, nlej |
---|
1476 | DO ji = nldi, nlei |
---|
1477 | zutr_tlin(ji,jj) = zr2(ji,jj) |
---|
1478 | END DO |
---|
1479 | END DO |
---|
1480 | |
---|
1481 | CALL grid_random( zr2(:,:), 'V', 0.0_wp, stdv ) |
---|
1482 | DO jj = nldj, nlej |
---|
1483 | DO ji = nldi, nlei |
---|
1484 | zvtr_tlin(ji,jj) = zr2(ji,jj) |
---|
1485 | END DO |
---|
1486 | END DO |
---|
1487 | |
---|
1488 | tsa_tl(:,:,:,:) = ztsa_tlin(:,:,:,:) |
---|
1489 | tsb_tl(:,:,:,:) = ztsb_tlin(:,:,:,:) |
---|
1490 | utr_bbl_tl(:,:) = zutr_tlin(:,:) |
---|
1491 | vtr_bbl_tl(:,:) = zvtr_tlin(:,:) |
---|
1492 | CALL tra_bbl_tan ( nit000 ) |
---|
1493 | ztsa_tlout(:,:,:,:) = tsa_tl(:,:,:,:) |
---|
1494 | zutr_tlout(:,:) = utr_bbl_tl(:,:) |
---|
1495 | zvtr_tlout(:,:) = vtr_bbl_tl(:,:) |
---|
1496 | !-------------------------------------------------------------------- |
---|
1497 | ! Initialize the adjoint variables: dy^* = W dy |
---|
1498 | !-------------------------------------------------------------------- |
---|
1499 | |
---|
1500 | DO jk = 1, jpk |
---|
1501 | DO jj = nldj, nlej |
---|
1502 | DO ji = nldi, nlei |
---|
1503 | ztsa_adin(ji,jj,jk,jp_tem) = ztsa_tlout(ji,jj,jk,jp_tem) & |
---|
1504 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
---|
1505 | & * tmask(ji,jj,jk) |
---|
1506 | ztsa_adin(ji,jj,jk,jp_sal) = ztsa_tlout(ji,jj,jk,jp_sal) & |
---|
1507 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
---|
1508 | & * tmask(ji,jj,jk) |
---|
1509 | END DO |
---|
1510 | END DO |
---|
1511 | END DO |
---|
1512 | DO jj = nldj, nlej |
---|
1513 | DO ji = nldi, nlei |
---|
1514 | zutr_adin(ji,jj) = zutr_tlout(ji,jj) & |
---|
1515 | & * e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,1) & |
---|
1516 | & * vmask(ji,jj,jk) |
---|
1517 | zvtr_adin(ji,jj) = zvtr_tlout(ji,jj) & |
---|
1518 | & * e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,1) & |
---|
1519 | & * vmask(ji,jj,jk) |
---|
1520 | END DO |
---|
1521 | END DO |
---|
1522 | !-------------------------------------------------------------------- |
---|
1523 | ! Compute the scalar product: ( L dx )^T W dy |
---|
1524 | !-------------------------------------------------------------------- |
---|
1525 | |
---|
1526 | zsp1 = DOT_PRODUCT( ztsa_tlout(:,:,:,jp_tem), ztsa_adin(:,:,:,jp_tem) ) & |
---|
1527 | & + DOT_PRODUCT( ztsa_tlout(:,:,:,jp_sal), ztsa_adin(:,:,:,jp_sal) ) & |
---|
1528 | & + DOT_PRODUCT( zutr_tlout, zutr_adin ) + DOT_PRODUCT( zvtr_tlout, zvtr_adin ) |
---|
1529 | |
---|
1530 | !-------------------------------------------------------------------- |
---|
1531 | ! Call the adjoint routine: dx^* = L^T dy^* |
---|
1532 | !-------------------------------------------------------------------- |
---|
1533 | |
---|
1534 | tsa_ad(:,:,:,:) = ztsa_adin(:,:,:,:) |
---|
1535 | utr_bbl_ad(:,:) = zutr_adin(:,:) |
---|
1536 | vtr_bbl_ad(:,:) = zvtr_adin(:,:) |
---|
1537 | CALL tra_bbl_adj ( nit000 ) |
---|
1538 | ztsa_adout(:,:,:,:) = tsa_ad(:,:,:,:) |
---|
1539 | ztsb_adout(:,:,:,:) = tsb_ad(:,:,:,:) |
---|
1540 | zutr_adout(:,:) = utr_bbl_ad(:,:) |
---|
1541 | zvtr_adout(:,:) = vtr_bbl_ad(:,:) |
---|
1542 | |
---|
1543 | |
---|
1544 | zsp2 = DOT_PRODUCT( ztsa_tlin(:,:,:,jp_tem), ztsa_adout(:,:,:,jp_tem) ) & |
---|
1545 | & + DOT_PRODUCT( ztsa_tlin(:,:,:,jp_sal), ztsa_adout(:,:,:,jp_sal) ) & |
---|
1546 | & + DOT_PRODUCT( ztsb_tlin(:,:,:,jp_tem), ztsb_adout(:,:,:,jp_tem) ) & |
---|
1547 | & + DOT_PRODUCT( ztsb_tlin(:,:,:,jp_sal), ztsb_adout(:,:,:,jp_sal) ) & |
---|
1548 | & + DOT_PRODUCT( zutr_tlin, zutr_adout ) + DOT_PRODUCT( zvtr_tlin, zvtr_adout ) |
---|
1549 | |
---|
1550 | SELECT CASE ( jtst ) |
---|
1551 | CASE ( 1 ) |
---|
1552 | ! 14 char:'12345678901234' |
---|
1553 | cl_name = 'trabbl_adj_dif' |
---|
1554 | CASE ( 2 ) |
---|
1555 | ! 14 char:'12345678901234' |
---|
1556 | cl_name = 'trabbl_ad_adv1' |
---|
1557 | CASE ( 3 ) |
---|
1558 | ! 14 char:'12345678901234' |
---|
1559 | cl_name = 'trabbl_ad_adv2' |
---|
1560 | END SELECT |
---|
1561 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
---|
1562 | |
---|
1563 | END DO |
---|
1564 | |
---|
1565 | CALL wrk_dealloc( jpi, jpj, jpk, jpts, ztsa_tlin , ztsa_tlout, ztsb_tlin , & |
---|
1566 | & ztsa_adout, ztsa_adin , ztsb_adout, & |
---|
1567 | & zrts ) |
---|
1568 | CALL wrk_dealloc( jpi, jpj, zutr_tlin , zutr_tlout, zvtr_tlin , zvtr_tlout, & |
---|
1569 | & zutr_adout, zutr_adin , zvtr_adout, zvtr_adin , & |
---|
1570 | & zr2 ) |
---|
1571 | |
---|
1572 | nn_bbl_ldf = jsav1 |
---|
1573 | nn_bbl_adv = jsav2 |
---|
1574 | |
---|
1575 | |
---|
1576 | END SUBROUTINE tra_bbl_adj_tst |
---|
1577 | |
---|
1578 | #else |
---|
1579 | !!---------------------------------------------------------------------- |
---|
1580 | !! Dummy module : No bottom boundary layer scheme |
---|
1581 | !!---------------------------------------------------------------------- |
---|
1582 | CONTAINS |
---|
1583 | SUBROUTINE tra_bbl_init_tam ! Dummy routine |
---|
1584 | END SUBROUTINE tra_bbl_init_tam |
---|
1585 | SUBROUTINE tra_bbl_tan( kt ) ! Dummy routine |
---|
1586 | WRITE(*,*) 'tra_bbl_tan: You should not have seen this print! error?', kt |
---|
1587 | END SUBROUTINE tra_bbl_tan |
---|
1588 | SUBROUTINE tra_bbl_adj( kt ) ! Dummy routine |
---|
1589 | WRITE(*,*) 'tra_bbl_adj: You should not have seen this print! error?', kt |
---|
1590 | END SUBROUTINE tra_bbl_adj |
---|
1591 | SUBROUTINE tra_bbl_adj_tst( kt ) ! Dummy routine |
---|
1592 | WRITE(*,*) 'tra_bbl_adj_tst: You should not have seen this print! error?', kt |
---|
1593 | END SUBROUTINE tra_bbl_adj_tst |
---|
1594 | #endif |
---|
1595 | !!====================================================================== |
---|
1596 | END MODULE trabbl_tam |
---|