1 | !!---------------------------------------------------------------------- |
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2 | !! *** trabbl_adv.h90 *** |
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3 | !!---------------------------------------------------------------------- |
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4 | |
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5 | !!---------------------------------------------------------------------- |
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6 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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7 | !! $Header$ |
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8 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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9 | !!---------------------------------------------------------------------- |
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10 | |
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11 | SUBROUTINE tra_bbl_adv( kt ) |
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12 | !!---------------------------------------------------------------------- |
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13 | !! *** ROUTINE tra_bbl_adv *** |
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14 | !! |
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15 | !! ** Purpose : Compute the before tracer (t & s) trend associated |
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16 | !! with the bottom boundary layer and add it to the general trend |
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17 | !! of tracer equations. The bottom boundary layer is supposed to be |
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18 | !! both an advective and diffusive bottom boundary layer. |
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19 | !! |
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20 | !! ** Method : Computes the bottom boundary horizontal and vertical |
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21 | !! advection terms. Add it to the general trend : ta =ta + adv_bbl. |
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22 | !! When the product grad( rho) * grad(h) < 0 (where grad is a |
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23 | !! along bottom slope gradient) an additional lateral 2nd order |
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24 | !! diffusion along the bottom slope is added to the general |
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25 | !! tracer trend, otherwise the additional trend is set to 0. |
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26 | !! Second order operator (laplacian type) with variable coefficient |
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27 | !! computed as follow for temperature (idem on s): |
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28 | !! difft = 1/(e1t*e2t*e3t) { di-1[ ahbt e2u*e3u/e1u di[ztb] ] |
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29 | !! + dj-1[ ahbt e1v*e3v/e2v dj[ztb] ] } |
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30 | !! where ztb is a 2D array: the bottom ocean te;perature and ahtb |
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31 | !! is a time and space varying diffusive coefficient defined by: |
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32 | !! ahbt = zahbp if grad(rho).grad(h) < 0 |
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33 | !! = 0. otherwise. |
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34 | !! Note that grad(.) is the along bottom slope gradient. grad(rho) |
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35 | !! is evaluated using the local density (i.e. referenced at the |
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36 | !! local depth). Typical value of ahbt is 2000 m2/s (equivalent to |
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37 | !! a downslope velocity of 20 cm/s if the condition for slope |
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38 | !! convection is satified) |
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39 | !! Add this before trend to the general trend (ta,sa) of the |
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40 | !! botton ocean tracer point: |
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41 | !! ta = ta + difft |
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42 | !! |
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43 | !! ** Action : - update (ta,sa) at the bottom level with the bottom |
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44 | !! boundary layer trend |
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45 | !! - save the lateral diffusion trends in tldfbbl/sldfbbl ('key_trdtra') |
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46 | !! - save the horizontal advection trends in tladbbl/sladbbl ('key_trdtra') |
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47 | !! |
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48 | !! References : |
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49 | !! Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. |
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50 | !! |
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51 | !! History : |
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52 | !! 8.5 ! 02-12 (A. de Miranda, G. Madec) Original Code |
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53 | !! 9.0 ! 04-01 (A. de Miranda, G. Madec, J.M. Molines ) |
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54 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
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55 | !!---------------------------------------------------------------------- |
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56 | !! * Modules used |
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57 | USE eosbn2 |
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58 | USE flxrnf |
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59 | USE ocfzpt |
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60 | USE lbclnk |
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61 | USE oce, ONLY : ztdta => ua, & ! use ua as 3D workspace |
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62 | ztdsa => va ! use va as 3D workspace |
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63 | |
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64 | !! * Arguments |
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65 | INTEGER, INTENT( in ) :: kt ! ocean time-step |
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66 | |
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67 | !! * Local declarations |
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68 | INTEGER :: ji, jj, jk ! dummy loop indices |
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69 | INTEGER :: ik, iku, ikv ! temporary integers |
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70 | |
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71 | REAL(wp) :: & |
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72 | zsign, zt, zs, zh, zalbet, & ! temporary scalars |
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73 | zgdrho, zbtr, zta, zsa ! " " |
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74 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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75 | ztnb, zsnb, zdep, ztbb, zsbb, & ! temporary workspace arrays |
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76 | zahu, zahv ! " " |
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77 | REAL(wp), DIMENSION(jpi,jpj) :: & ! temporary workspace arrays |
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78 | zalphax, zwu, zunb, & ! " " |
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79 | zalphay, zwv, zvnb, & ! " " |
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80 | zwx, zwy, zww, zwz ! " " |
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81 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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82 | zhdivn ! temporary workspace arrays |
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83 | REAL(wp) :: & |
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84 | zfui, zfvj, zbt, zsigna ! temporary scalars |
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85 | REAL(wp) :: & |
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86 | fsalbt, pft, pfs, pfh ! statement function |
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87 | !!---------------------------------------------------------------------- |
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88 | ! ratio alpha/beta |
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89 | ! ================ |
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90 | ! fsalbt: ratio of thermal over saline expension coefficients |
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91 | ! pft : potential temperature in degrees celcius |
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92 | ! pfs : salinity anomaly (s-35) in psu |
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93 | ! pfh : depth in meters |
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94 | |
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95 | fsalbt( pft, pfs, pfh ) = & |
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96 | ( ( ( -0.255019e-07 * pft + 0.298357e-05 ) * pft & |
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97 | - 0.203814e-03 ) * pft & |
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98 | + 0.170907e-01 ) * pft & |
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99 | + 0.665157e-01 & |
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100 | +(-0.678662e-05 * pfs - 0.846960e-04 * pft + 0.378110e-02 ) * pfs & |
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101 | + ( ( - 0.302285e-13 * pfh & |
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102 | - 0.251520e-11 * pfs & |
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103 | + 0.512857e-12 * pft * pft ) * pfh & |
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104 | - 0.164759e-06 * pfs & |
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105 | +( 0.791325e-08 * pft - 0.933746e-06 ) * pft & |
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106 | + 0.380374e-04 ) * pfh |
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107 | !!---------------------------------------------------------------------- |
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108 | |
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109 | |
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110 | IF( kt == nit000 ) CALL tra_bbl_init ! initialization at first time-step |
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111 | |
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112 | ! Save ta and sa trends |
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113 | IF( l_trdtra ) THEN |
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114 | ztdta(:,:,:) = ta(:,:,:) |
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115 | ztdsa(:,:,:) = sa(:,:,:) |
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116 | ENDIF |
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117 | |
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118 | ! 1. 2D fields of bottom temperature and salinity, and bottom slope |
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119 | ! ----------------------------------------------------------------- |
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120 | ! mbathy= number of w-level, minimum value=1 (cf dommsk.F) |
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121 | |
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122 | #if defined key_vectopt_loop && ! defined key_autotasking |
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123 | jj = 1 |
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124 | DO ji = 1, jpij ! vector opt. (forced unrolling) |
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125 | #else |
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126 | DO jj = 1, jpj |
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127 | DO ji = 1, jpi |
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128 | #endif |
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129 | ik = mbkt(ji,jj) ! index of the bottom ocean T-level |
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130 | ztnb(ji,jj) = tn(ji,jj,ik) * tmask(ji,jj,1) ! masked now T at the ocean bottom |
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131 | zsnb(ji,jj) = sn(ji,jj,ik) * tmask(ji,jj,1) ! masked now S at the ocean bottom |
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132 | ztbb(ji,jj) = tb(ji,jj,ik) * tmask(ji,jj,1) ! masked before T at the ocean bottom |
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133 | zsbb(ji,jj) = sb(ji,jj,ik) * tmask(ji,jj,1) ! masked before S at the ocean bottom |
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134 | zdep(ji,jj) = fsdept(ji,jj,ik) ! depth of the ocean bottom T-level |
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135 | #if ! defined key_vectopt_loop || defined key_autotasking |
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136 | END DO |
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137 | #endif |
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138 | END DO |
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139 | #if defined key_vectopt_loop && ! defined key_autotasking |
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140 | jj = 1 |
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141 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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142 | zunb(ji,jj) = un(ji,jj,mbku(ji,jj)) * umask(ji,jj,1) |
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143 | zvnb(ji,jj) = vn(ji,jj,mbkv(ji,jj)) * vmask(ji,jj,1) ! retirer le mask en u, v et t ! |
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144 | END DO |
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145 | #else |
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146 | DO jj = 1, jpjm1 |
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147 | DO ji = 1, jpim1 |
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148 | zunb(ji,jj) = un(ji,jj,mbku(ji,jj)) * umask(ji,jj,1) |
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149 | zvnb(ji,jj) = vn(ji,jj,mbkv(ji,jj)) * vmask(ji,jj,1) |
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150 | END DO |
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151 | END DO |
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152 | #endif |
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153 | |
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154 | ! boundary conditions on zunb and zvnb (changed sign) |
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155 | CALL lbc_lnk( zunb, 'U', -1. ) ; CALL lbc_lnk( zvnb, 'V', -1. ) |
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156 | ! boundary condition on ztnb and znbb |
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157 | CALL lbc_lnk( ztnb, 'T', 1. ) ; CALL lbc_lnk( ztbb, 'T', 1. ) |
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158 | ! boundary condition on zsnb and zsbb |
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159 | CALL lbc_lnk( zsnb, 'T', 1. ) ; CALL lbc_lnk( zsbb, 'T', 1. ) |
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160 | |
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161 | ! 2. Criteria of additional bottom diffusivity: grad(rho).grad(h)<0 |
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162 | ! -------------------------------------------- |
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163 | ! Sign of the local density gradient along the i- and j-slopes |
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164 | ! multiplied by the slope of the ocean bottom |
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165 | |
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166 | SELECT CASE ( neos ) |
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167 | |
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168 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
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169 | |
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170 | DO jj = 1, jpjm1 |
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171 | DO ji = 1, fs_jpim1 ! vector opt. |
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172 | ! ... temperature, salinity anomalie and depth |
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173 | zt = 0.5 * ( ztnb(ji,jj) + ztnb(ji+1,jj) ) |
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174 | zs = 0.5 * ( zsnb(ji,jj) + zsnb(ji+1,jj) ) - 35.0 |
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175 | zh = 0.5 * ( zdep(ji,jj) + zdep(ji+1,jj) ) |
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176 | ! ... masked ratio alpha/beta |
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177 | zalbet = fsalbt( zt, zs, zh )*umask(ji,jj,1) |
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178 | ! ... local density gradient along i-bathymetric slope |
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179 | zgdrho = zalbet*( ztnb(ji+1,jj) - ztnb(ji,jj) ) & |
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180 | - ( zsnb(ji+1,jj) - zsnb(ji,jj) ) |
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181 | zgdrho = zgdrho * umask(ji,jj,1) |
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182 | ! ... sign of local i-gradient of density multiplied by the i-slope |
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183 | zsign = sign( 0.5, -zgdrho * ( zdep(ji+1,jj) - zdep(ji,jj) ) ) |
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184 | |
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185 | zsigna= sign(0.5, zunb(ji,jj)*( zdep(ji+1,jj) - zdep(ji,jj) )) |
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186 | zalphax(ji,jj)=(0.5+zsigna)*(0.5-zsign)*umask(ji,jj,1) |
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187 | END DO |
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188 | END DO |
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189 | |
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190 | DO jj = 1, jpjm1 |
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191 | DO ji = 1, fs_jpim1 ! vector opt. |
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192 | ! ... temperature, salinity anomalie and depth |
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193 | zt = 0.5 * ( ztnb(ji,jj+1) + ztnb(ji,jj) ) |
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194 | zs = 0.5 * ( zsnb(ji,jj+1) + zsnb(ji,jj) ) - 35.0 |
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195 | zh = 0.5 * ( zdep(ji,jj+1) + zdep(ji,jj) ) |
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196 | ! ... masked ratio alpha/beta |
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197 | zalbet = fsalbt( zt, zs, zh )*vmask(ji,jj,1) |
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198 | ! ... local density gradient along j-bathymetric slope |
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199 | zgdrho = zalbet*( ztnb(ji,jj+1) - ztnb(ji,jj) ) & |
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200 | - ( zsnb(ji,jj+1) - zsnb(ji,jj) ) |
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201 | zgdrho = zgdrho*vmask(ji,jj,1) |
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202 | ! ... sign of local j-gradient of density multiplied by the j-slope |
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203 | zsign = sign( 0.5, -zgdrho * ( zdep(ji,jj+1) - zdep(ji,jj) ) ) |
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204 | |
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205 | zsigna= sign(0.5, zvnb(ji,jj)*(zdep(ji,jj+1) - zdep(ji,jj) ) ) |
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206 | zalphay(ji,jj)=(0.5+zsigna)*(0.5-zsign)*vmask(ji,jj,1) |
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207 | END DO |
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208 | END DO |
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209 | |
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210 | |
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211 | CASE ( 1 ) ! Linear formulation function of temperature only |
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212 | ! |
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213 | DO jj = 1, jpjm1 |
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214 | DO ji = 1, jpim1 |
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215 | ! local 'density/temperature' gradient along i-bathymetric slope |
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216 | zgdrho = ztnb(ji+1,jj) - ztnb(ji,jj) |
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217 | ! sign of local i-gradient of density multiplied by the i-slope |
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218 | zsign = SIGN( 0.5, - zgdrho * ( zdep(ji+1,jj) - zdep(ji,jj) ) ) |
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219 | |
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220 | zsigna= sign(0.5, zunb(ji,jj)*( zdep(ji+1,jj) - zdep(ji,jj) )) |
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221 | zalphax(ji,jj)=(0.5+zsigna)*(0.5-zsign)*umask(ji,jj,1) |
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222 | END DO |
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223 | END DO |
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224 | |
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225 | DO jj = 1, jpjm1 |
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226 | DO ji = 1, jpim1 |
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227 | ! local density gradient along j-bathymetric slope |
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228 | zgdrho = ztnb(ji,jj+1) - ztnb(ji,jj) |
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229 | ! sign of local j-gradient of density multiplied by the j-slope |
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230 | zsign = sign( 0.5, -zgdrho * ( zdep(ji,jj+1) - zdep(ji,jj) ) ) |
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231 | |
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232 | zsigna= sign(0.5, zvnb(ji,jj)*(zdep(ji,jj+1) - zdep(ji,jj) ) ) |
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233 | zalphay(ji,jj)=(0.5+zsigna)*(0.5-zsign)*vmask(ji,jj,1) |
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234 | END DO |
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235 | END DO |
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236 | |
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237 | CASE ( 2 ) ! Linear formulation function of temperature and salinity |
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238 | |
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239 | IF(lwp) WRITE(numout,cform_err) |
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240 | IF(lwp) WRITE(numout,*) ' use of linear eos rho(T,S) = rau0 * ( rbeta * S - ralpha * T )' |
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241 | IF(lwp) WRITE(numout,*) ' bbl not implented: easy to do it ' |
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242 | nstop = nstop + 1 |
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243 | |
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244 | CASE DEFAULT |
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245 | |
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246 | IF(lwp) WRITE(numout,cform_err) |
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247 | IF(lwp) WRITE(numout,*) ' bad flag value for neos = ', neos |
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248 | nstop = nstop + 1 |
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249 | |
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250 | END SELECT |
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251 | |
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252 | ! lateral boundary conditions on zalphax and zalphay (unchanged sign) |
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253 | CALL lbc_lnk( zalphax, 'U', 1. ) ; CALL lbc_lnk( zalphay, 'V', 1. ) |
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254 | |
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255 | |
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256 | ! 3. Velocities that are exchanged between ajacent bottom boxes. |
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257 | !--------------------------------------------------------------- |
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258 | |
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259 | ! ... is equal to zero but where bbl will work. |
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260 | u_bbl(:,:,:) = 0.e0 |
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261 | v_bbl(:,:,:) = 0.e0 |
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262 | # if defined key_vectopt_loop && ! defined key_autotasking |
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263 | jj = 1 |
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264 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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265 | # else |
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266 | DO jj = 1, jpjm1 |
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267 | DO ji = 1, jpim1 |
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268 | # endif |
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269 | iku = mbku(ji,jj) |
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270 | ikv = mbkv(ji,jj) |
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271 | IF( MAX(iku,ikv) > 1 ) THEN |
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272 | u_bbl(ji,jj,iku) = zalphax(ji,jj) * un(ji,jj,iku) * umask(ji,jj,1) |
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273 | v_bbl(ji,jj,ikv) = zalphay(ji,jj) * vn(ji,jj,ikv) * vmask(ji,jj,1) |
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274 | ENDIF |
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275 | # if ! defined key_vectopt_loop || defined key_autotasking |
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276 | END DO |
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277 | # endif |
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278 | END DO |
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279 | |
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280 | ! lateral boundary conditions on u_bbl and v_bbl (changed sign) |
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281 | CALL lbc_lnk( u_bbl, 'U', -1. ) ; CALL lbc_lnk( v_bbl, 'V', -1. ) |
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282 | |
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283 | ! 5. Along sigma advective trend |
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284 | ! ------------------------------- |
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285 | ! ... Second order centered tracer flux at u and v-points |
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286 | |
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287 | # if defined key_vectopt_loop && ! defined key_autotasking |
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288 | jj = 1 |
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289 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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290 | # else |
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291 | DO jj = 1, jpjm1 |
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292 | DO ji = 1, jpim1 |
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293 | # endif |
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294 | iku = mbku(ji,jj) |
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295 | ikv = mbkv(ji,jj) |
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296 | zfui = zalphax(ji,jj) *e2u(ji,jj) * fse3u(ji,jj,iku) * zunb(ji,jj) |
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297 | zfvj = zalphay(ji,jj) *e1v(ji,jj) * fse3v(ji,jj,ikv) * zvnb(ji,jj) |
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298 | ! centered scheme |
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299 | ! zwx(ji,jj) = 0.5* zfui * ( ztnb(ji,jj) + ztnb(ji+1,jj) ) |
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300 | ! zwy(ji,jj) = 0.5* zfvj * ( ztnb(ji,jj) + ztnb(ji,jj+1) ) |
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301 | ! zww(ji,jj) = 0.5* zfui * ( zsnb(ji,jj) + zsnb(ji+1,jj) ) |
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302 | ! zwz(ji,jj) = 0.5* zfvj * ( zsnb(ji,jj) + zsnb(ji,jj+1) ) |
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303 | ! upstream scheme |
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304 | zwx(ji,jj) = ( ( zfui + ABS( zfui ) ) * ztbb(ji ,jj ) & |
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305 | & +( zfui - ABS( zfui ) ) * ztbb(ji+1,jj ) ) * 0.5 |
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306 | zwy(ji,jj) = ( ( zfvj + ABS( zfvj ) ) * ztbb(ji ,jj ) & |
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307 | & +( zfvj - ABS( zfvj ) ) * ztbb(ji ,jj+1) ) * 0.5 |
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308 | zww(ji,jj) = ( ( zfui + ABS( zfui ) ) * zsbb(ji ,jj ) & |
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309 | & +( zfui - ABS( zfui ) ) * zsbb(ji+1,jj ) ) * 0.5 |
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310 | zwz(ji,jj) = ( ( zfvj + ABS( zfvj ) ) * zsbb(ji ,jj ) & |
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311 | & +( zfvj - ABS( zfvj ) ) * zsbb(ji ,jj+1) ) * 0.5 |
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312 | #if ! defined key_vectopt_loop || defined key_autotasking |
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313 | END DO |
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314 | #endif |
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315 | END DO |
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316 | # if defined key_vectopt_loop && ! defined key_autotasking |
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317 | jj = 1 |
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318 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
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319 | # else |
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320 | DO jj = 2, jpjm1 |
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321 | DO ji = 2, jpim1 |
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322 | # endif |
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323 | ik = mbkt(ji,jj) |
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324 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,ik) ) |
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325 | ! horizontal advective trends |
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326 | zta = - zbtr * ( zwx(ji,jj) - zwx(ji-1,jj ) & |
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327 | & + zwy(ji,jj) - zwy(ji ,jj-1) ) |
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328 | zsa = - zbtr * ( zww(ji,jj) - zww(ji-1,jj ) & |
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329 | & + zwz(ji,jj) - zwz(ji ,jj-1) ) |
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330 | |
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331 | ! add it to the general tracer trends |
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332 | ta(ji,jj,ik) = ta(ji,jj,ik) + zta |
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333 | sa(ji,jj,ik) = sa(ji,jj,ik) + zsa |
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334 | #if ! defined key_vectopt_loop || defined key_autotasking |
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335 | END DO |
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336 | #endif |
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337 | END DO |
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338 | |
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339 | ! save the trends for diagnostic |
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340 | ! BBL lateral advection tracers trends |
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341 | IF( l_trdtra ) THEN |
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342 | # if defined key_vectopt_loop && ! defined key_autotasking |
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343 | jj = 1 |
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344 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
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345 | # else |
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346 | DO jj = 2, jpjm1 |
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347 | DO ji = 2, jpim1 |
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348 | # endif |
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349 | ik = mbkt(ji,jj) |
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350 | tladbbl(ji,jj) = ta(ji,jj,ik) - ztdta(ji,jj,ik) |
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351 | sladbbl(ji,jj) = sa(ji,jj,ik) - ztdsa(ji,jj,ik) |
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352 | # if ! defined key_vectopt_loop || defined key_autotasking |
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353 | END DO |
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354 | # endif |
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355 | END DO |
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356 | |
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357 | ENDIF |
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358 | |
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359 | IF(ln_ctl) THEN |
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360 | CALL prt_ctl(tab3d_1=ta, clinfo1=' bbl - Ta: ', mask1=tmask, & |
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361 | & tab3d_2=sa, clinfo2=' Sa: ', mask2=tmask, clinfo3='tra') |
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362 | ENDIF |
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363 | |
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364 | |
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365 | ! 6. Vertical advection velocities |
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366 | ! -------------------------------- |
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367 | ! ... computes divergence perturbation (velocties to be removed from upper t boxes : |
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368 | DO jk= 1, jpkm1 |
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369 | DO jj=1, jpjm1 |
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370 | DO ji = 1, fs_jpim1 ! vector opt. |
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371 | zwu(ji,jj) = -e2u(ji,jj) * u_bbl(ji,jj,jk) * fse3u(ji,jj,jk) |
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372 | zwv(ji,jj) = -e1v(ji,jj) * v_bbl(ji,jj,jk) * fse3v(ji,jj,jk) |
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373 | END DO |
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374 | END DO |
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375 | |
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376 | ! ... horizontal divergence |
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377 | DO jj = 2, jpjm1 |
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378 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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379 | zbt = e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) |
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380 | zhdivn(ji,jj,jk) = ( zwu(ji,jj) - zwu(ji-1,jj ) & |
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381 | + zwv(ji,jj) - zwv(ji ,jj-1) ) / zbt |
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382 | END DO |
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383 | END DO |
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384 | END DO |
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385 | |
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386 | |
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387 | ! ... horizontal bottom divergence |
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388 | # if defined key_vectopt_loop && ! defined key_autotasking |
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389 | jj = 1 |
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390 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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391 | # else |
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392 | DO jj = 1, jpjm1 |
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393 | DO ji = 1, jpim1 |
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394 | # endif |
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395 | iku = mbku(ji,jj) |
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396 | ikv = mbkv(ji,jj) |
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397 | zwu(ji,jj) = zalphax(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,iku) |
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398 | zwv(ji,jj) = zalphay(ji,jj) * e1v(ji,jj) * fse3v(ji,jj,ikv) |
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399 | #if ! defined key_vectopt_loop || defined key_autotasking |
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400 | END DO |
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401 | #endif |
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402 | END DO |
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403 | |
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404 | # if defined key_vectopt_loop && ! defined key_autotasking |
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405 | jj = 1 |
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406 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
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407 | # else |
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408 | DO jj = 2, jpjm1 |
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409 | DO ji = 2, jpim1 |
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410 | # endif |
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411 | ik = mbkt(ji,jj) |
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412 | zbt = e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,ik) |
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413 | zhdivn(ji,jj,ik) = & |
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414 | & ( zwu(ji ,jj ) * ( zunb(ji ,jj ) - un(ji ,jj ,ik) *umask(ji ,jj ,1) ) & |
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415 | & - zwu(ji-1,jj ) * ( zunb(ji-1,jj ) - un(ji-1,jj ,ik) *umask(ji-1,jj ,1) ) & |
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416 | & + zwv(ji ,jj ) * ( zvnb(ji ,jj ) - vn(ji ,jj ,ik) *vmask(ji ,jj ,1) ) & |
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417 | & - zwv(ji ,jj-1) * ( zvnb(ji ,jj-1) - vn(ji ,jj-1,ik) *vmask(ji ,jj-1,1) ) & |
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418 | & ) / zbt |
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419 | |
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420 | # if ! defined key_vectopt_loop || defined key_autotasking |
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421 | END DO |
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422 | # endif |
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423 | END DO |
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424 | |
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425 | ! 7. compute additional vertical velocity to be used in t boxes |
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426 | ! ------------------------------------------------------------- |
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427 | |
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428 | ! ... Computation from the bottom |
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429 | ! Note that w_bbl(:,:,jpk) has been set to 0 in tra_bbl_init |
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430 | DO jk = jpkm1, 1, -1 |
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431 | DO jj= 2, jpjm1 |
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432 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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433 | w_bbl(ji,jj,jk) = w_bbl(ji,jj,jk+1) - fse3t(ji,jj,jk)*zhdivn(ji,jj,jk) |
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434 | END DO |
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435 | END DO |
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436 | END DO |
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437 | |
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438 | ! Boundary condition on w_bbl (unchanged sign) |
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439 | CALL lbc_lnk( w_bbl, 'W', 1. ) |
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440 | |
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441 | END SUBROUTINE tra_bbl_adv |
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