1 | MODULE traadv_qck |
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2 | !!============================================================================== |
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3 | !! *** MODULE traadv_qck *** |
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4 | !! Ocean active tracers: horizontal & vertical advective trend |
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5 | !!============================================================================== |
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6 | !! History : 3.0 ! 2008-07 (G. Reffray) Original code |
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7 | !!---------------------------------------------------------------------- |
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8 | |
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9 | !!---------------------------------------------------------------------- |
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10 | !! tra_adv_qck : update the tracer trend with the horizontal advection |
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11 | !! trends using a 3rd order finite difference scheme |
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12 | !! tra_adv_qck_i : |
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13 | !! tra_adv_qck_j : |
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14 | !! tra_adv_cen2_k : 2nd centered scheme for the vertical advection |
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15 | !!---------------------------------------------------------------------- |
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16 | USE oce ! ocean dynamics and active tracers |
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17 | USE dom_oce ! ocean space and time domain |
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18 | USE trdmod ! ocean active tracers trends |
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19 | USE trdmod_oce ! ocean variables trends |
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20 | USE trabbl ! advective term in the BBL |
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21 | USE lib_mpp ! distribued memory computing |
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22 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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23 | USE dynspg_oce ! surface pressure gradient variables |
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24 | USE in_out_manager ! I/O manager |
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25 | USE diaptr ! poleward transport diagnostics |
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26 | USE prtctl ! Print control |
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27 | |
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28 | IMPLICIT NONE |
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29 | PRIVATE |
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30 | |
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31 | PUBLIC tra_adv_qck ! routine called by step.F90 |
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32 | |
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33 | REAL(wp), DIMENSION(jpi,jpj) :: btr2 |
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34 | REAL(wp) :: r1_6 |
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35 | |
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36 | !! * Substitutions |
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37 | # include "domzgr_substitute.h90" |
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38 | # include "vectopt_loop_substitute.h90" |
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39 | !!---------------------------------------------------------------------- |
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40 | !! NEMO/OPA 3.2 , LOCEAN-IPSL (2009) |
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41 | !! $Id$ |
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42 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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43 | !!---------------------------------------------------------------------- |
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44 | |
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45 | CONTAINS |
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46 | |
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47 | SUBROUTINE tra_adv_qck( kt, pun, pvn, pwn ) |
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48 | !!---------------------------------------------------------------------- |
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49 | !! *** ROUTINE tra_adv_qck *** |
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50 | !! |
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51 | !! ** Purpose : Compute the now trend due to the advection of tracers |
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52 | !! and add it to the general trend of passive tracer equations. |
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53 | !! |
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54 | !! ** Method : The advection is evaluated by a third order scheme |
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55 | !! For a positive velocity u : u(i)>0 |
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56 | !! |--FU--|--FC--|--FD--|------| |
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57 | !! i-1 i i+1 i+2 |
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58 | !! |
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59 | !! For a negative velocity u : u(i)<0 |
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60 | !! |------|--FD--|--FC--|--FU--| |
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61 | !! i-1 i i+1 i+2 |
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62 | !! where FU is the second upwind point |
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63 | !! FD is the first douwning point |
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64 | !! FC is the central point (or the first upwind point) |
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65 | !! |
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66 | !! Flux(i) = u(i) * { 0.5(FC+FD) -0.5C(i)(FD-FC) -((1-C(i))/6)(FU+FD-2FC) } |
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67 | !! with C(i)=|u(i)|dx(i)/dt (=Courant number) |
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68 | !! |
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69 | !! dt = 2*rdtra and the scalar values are tb and sb |
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70 | !! |
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71 | !! On the vertical, the simple centered scheme used tn and sn |
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72 | !! |
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73 | !! The fluxes are bounded by the ULTIMATE limiter to |
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74 | !! guarantee the monotonicity of the solution and to |
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75 | !! prevent the appearance of spurious numerical oscillations |
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76 | !! |
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77 | !! ** Action : - update (ta,sa) with the now advective tracer trends |
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78 | !! - save the trends ('key_trdtra') |
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79 | !! |
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80 | !! ** Reference : Leonard (1979, 1991) |
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81 | !!---------------------------------------------------------------------- |
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82 | USE oce, ONLY : ztrdt => ua ! use ua as workspace |
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83 | USE oce, ONLY : ztrds => va ! use va as workspace |
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84 | !! |
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85 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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86 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pun ! effective ocean velocity, u_component |
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87 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pvn ! effective ocean velocity, v_component |
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88 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pwn ! effective ocean velocity, w_component |
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89 | !! |
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90 | INTEGER :: ji, jj, jk ! dummy loop indices |
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91 | REAL(wp) :: z_hdivn_x, z_hdivn_y, z_hdivn ! temporary scalars |
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92 | REAL(wp) :: zbtr, z2 ! " " |
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93 | !!---------------------------------------------------------------------- |
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94 | |
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95 | IF( kt == nit000 ) THEN |
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96 | IF(lwp) WRITE(numout,*) |
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97 | IF(lwp) WRITE(numout,*) 'tra_adv_qck : 3rd order quickest advection scheme' |
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98 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~' |
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99 | IF(lwp) WRITE(numout,*) |
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100 | btr2(:,:) = 1. / ( e1t(:,:) * e2t(:,:) ) |
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101 | r1_6 = 1. / 6. |
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102 | ENDIF |
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103 | |
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104 | IF( neuler == 0 .AND. kt == nit000 ) THEN ; z2 = 1. |
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105 | ELSE ; z2 = 2. |
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106 | ENDIF |
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107 | |
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108 | ! I. The horizontal fluxes are computed with the QUICKEST + ULTIMATE scheme |
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109 | !--------------------------------------------------------------------------- |
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110 | |
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111 | CALL tra_adv_qck_i( pun, tb, tn, ta, ztrdt, z2) |
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112 | CALL tra_adv_qck_i( pun, sb, sn, sa, ztrds, z2) |
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113 | |
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114 | IF( l_trdtra ) CALL trd_mod(ztrdt, ztrds, jptra_trd_xad, 'TRA', kt) |
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115 | |
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116 | CALL tra_adv_qck_j( kt, pvn, tb, tn, ta, ztrdt, pht_adv, z2) |
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117 | CALL tra_adv_qck_j( kt, pvn, sb, sn, sa, ztrds, pst_adv, z2) |
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118 | |
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119 | IF( l_trdtra ) THEN |
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120 | CALL trd_mod(ztrdt, ztrds, jptra_trd_yad, 'TRA', kt) |
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121 | ! |
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122 | ztrdt(:,:,:) = ta(:,:,:) ! Save the horizontal up-to-date ta/sa trends |
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123 | ztrds(:,:,:) = sa(:,:,:) |
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124 | END IF |
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125 | |
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126 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ta, clinfo1=' qck had - Ta: ', mask1=tmask, & |
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127 | & tab3d_2=sa, clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
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128 | |
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129 | ! II. The vertical fluxes are computed with the 2nd order centered scheme |
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130 | !------------------------------------------------------------------------- |
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131 | ! |
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132 | CALL tra_adv_cen2_k( pwn, tn, ta ) |
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133 | CALL tra_adv_cen2_k( pwn, sn, sa ) |
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134 | ! |
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135 | !Save the vertical advective trends for diagnostic |
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136 | ! ---------------------------------------------------- |
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137 | IF( l_trdtra ) THEN |
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138 | ! Recompute the vertical advection zta & zsa trends computed |
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139 | ! at the step 2. above in making the difference between the new |
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140 | ! trends and the previous one: ta()/sa - ztrdt()/ztrds() and substract |
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141 | ! the term tn()/sn()*hdivn() to recover the W gradz(T/S) trends |
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142 | |
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143 | DO jk = 1, jpkm1 |
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144 | DO jj = 2, jpjm1 |
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145 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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146 | #if defined key_zco |
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147 | zbtr = btr2(ji,jj) |
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148 | z_hdivn_x = e2u(ji,jj)*pun(ji,jj,jk) - e2u(ji-1,jj)*pun(ji-1,jj,jk) |
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149 | z_hdivn_y = e1v(ji,jj)*pvn(ji,jj,jk) - e1v(ji,jj-1)*pvn(ji,jj-1,jk) |
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150 | #else |
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151 | zbtr = btr2(ji,jj) / fse3t(ji,jj,jk) |
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152 | z_hdivn_x = e2u(ji,jj)*fse3u(ji,jj,jk)*pun(ji,jj,jk) - e2u(ji-1,jj)*fse3u(ji-1,jj,jk)*pun(ji-1,jj,jk) |
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153 | z_hdivn_y = e1v(ji,jj)*fse3v(ji,jj,jk)*pvn(ji,jj,jk) - e1v(ji,jj-1)*fse3v(ji,jj-1,jk)*pvn(ji,jj-1,jk) |
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154 | #endif |
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155 | z_hdivn = (z_hdivn_x + z_hdivn_y) * zbtr |
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156 | ztrdt(ji,jj,jk) = ta(ji,jj,jk) - ztrdt(ji,jj,jk) - tn(ji,jj,jk) * z_hdivn |
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157 | ztrds(ji,jj,jk) = sa(ji,jj,jk) - ztrds(ji,jj,jk) - sn(ji,jj,jk) * z_hdivn |
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158 | END DO |
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159 | END DO |
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160 | END DO |
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161 | CALL trd_mod(ztrdt, ztrds, jptra_trd_zad, 'TRA', kt) |
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162 | ENDIF |
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163 | |
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164 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ta, clinfo1=' qck zad - Ta: ', mask1=tmask, & |
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165 | & tab3d_2=sa, clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
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166 | ! |
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167 | END SUBROUTINE tra_adv_qck |
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168 | |
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169 | |
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170 | SUBROUTINE tra_adv_qck_i ( pun, tra, tran, traa, ztrdtra, z2 ) |
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171 | !!---------------------------------------------------------------------- |
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172 | !! |
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173 | !!---------------------------------------------------------------------- |
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174 | REAL, INTENT(in) :: z2 |
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175 | REAL(wp), INTENT(in) , DIMENSION(jpi,jpj,jpk) :: pun, tra, tran ! horizontal effective velocity |
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176 | REAL(wp), INTENT(out) , DIMENSION(jpi,jpj,jpk) :: ztrdtra |
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177 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: traa |
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178 | ! |
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179 | INTEGER :: ji, jj, jk |
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180 | REAL(wp) :: za, zbtr, dir, dx, dt ! temporary scalars |
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181 | REAL(wp) :: z_hdivn_x |
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182 | REAL(wp), DIMENSION(jpi,jpj) :: zmask, zupst, zdwst, zc_cfl |
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183 | REAL(wp), DIMENSION(jpi,jpj) :: zfu, zfc, zfd, zfho, zmskl, zsc_e |
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184 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zflux |
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185 | !---------------------------------------------------------------------- |
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186 | |
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187 | zfu (:,jpj) = 0.e0 ; zfc (:,jpj) = 0.e0 |
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188 | zfd (:,jpj) = 0.e0 ; zc_cfl(:,jpj) = 0.e0 |
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189 | zsc_e (:,jpj) = 0.e0 ; zmskl (:,jpj) = 0.e0 |
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190 | zfho (:,jpj) = 0.e0 |
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191 | ! =============== |
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192 | DO jk = 1, jpkm1 ! Horizontal slab |
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193 | ! ! =============== |
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194 | !--- Computation of the ustream and downstream value of the tracer and the mask |
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195 | DO jj = 2, jpjm1 |
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196 | DO ji = 2, fs_jpim1 ! vector opt. |
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197 | ! Upstream in the x-direction for the tracer |
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198 | zupst(ji,jj)=tra(ji-1,jj,jk) |
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199 | ! Downstream in the x-direction for the tracer |
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200 | zdwst(ji,jj)=tra(ji+1,jj,jk) |
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201 | ! Mask at the T-points in the x-direction (mask=0 or mask=1) |
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202 | zmask(ji,jj)=tmask(ji-1,jj,jk)+tmask(ji,jj,jk)+tmask(ji+1,jj,jk)-2 |
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203 | END DO |
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204 | END DO |
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205 | ! |
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206 | !--- Lateral boundary conditions |
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207 | CALL lbc_lnk( zupst(:,:), 'T', 1. ) |
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208 | CALL lbc_lnk( zdwst(:,:), 'T', 1. ) |
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209 | CALL lbc_lnk( zmask(:,:), 'T', 1. ) |
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210 | ! |
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211 | ! Horizontal advective fluxes |
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212 | ! --------------------------- |
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213 | ! |
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214 | dt = z2 * rdttra(jk) |
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215 | !--- tracer flux at u-points |
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216 | DO jj = 1, jpjm1 |
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217 | DO ji = 1, jpi |
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218 | #if defined key_zco |
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219 | zsc_e(ji,jj) = e2u(ji,jj) |
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220 | #else |
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221 | zsc_e(ji,jj) = e2u(ji,jj) * fse3u(ji,jj,jk) |
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222 | #endif |
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223 | dir = 0.5 + sign(0.5,pun(ji,jj,jk)) ! if pun>0 : dir = 1 otherwise dir = 0 |
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224 | dx = dir * e1t(ji,jj) + (1-dir)* e1t(ji+1,jj) |
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225 | zc_cfl (ji,jj) = ABS(pun(ji,jj,jk))*dt/dx ! (0<zc_cfl<1 : Courant number on x-direction) |
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226 | |
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227 | zfu(ji,jj) = dir*zupst(ji ,jj )+(1-dir)*zdwst(ji+1,jj ) ! FU in the x-direction for T |
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228 | zfc(ji,jj) = dir*tra (ji ,jj,jk)+(1-dir)*tra (ji+1,jj,jk) ! FC in the x-direction for T |
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229 | zfd(ji,jj) = dir*tra (ji+1,jj,jk)+(1-dir)*tra (ji ,jj,jk) ! FD in the x-direction for T |
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230 | zmskl(ji,jj) = dir*zmask(ji ,jj) +(1-dir)*zmask(ji+1,jj) |
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231 | END DO |
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232 | END DO |
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233 | ! |
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234 | !--- QUICKEST scheme |
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235 | ! Tracer flux on the x-direction |
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236 | CALL quickest(zfu,zfd,zfc,zfho,zc_cfl) |
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237 | !--- If the second ustream point is a land point |
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238 | !--- the flux is computed by the 1st order UPWIND scheme |
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239 | zfho(:,:) = zmskl(:,:)*zfho(:,:) + (1.-zmskl(:,:))*zfc(:,:) |
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240 | !--- Computation of fluxes |
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241 | zflux(:,:,jk) = zsc_e(:,:)*pun(:,:,jk)*zfho(:,:) |
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242 | ! |
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243 | !--- Tracer flux divergence at t-point added to the general trend |
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244 | DO jj = 2, jpjm1 |
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245 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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246 | !--- horizontal advective trends |
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247 | #if defined key_zco |
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248 | zbtr = btr2(ji,jj) |
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249 | #else |
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250 | zbtr = btr2(ji,jj) / fse3t(ji,jj,jk) |
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251 | #endif |
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252 | za = - zbtr * ( zflux(ji,jj,jk) - zflux(ji-1,jj,jk) ) |
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253 | !--- add it to the general tracer trends |
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254 | traa(ji,jj,jk) = traa(ji,jj,jk) + za |
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255 | END DO |
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256 | END DO |
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257 | ! ! =============== |
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258 | END DO ! End of slab |
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259 | ! ! =============== |
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260 | ! |
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261 | ! Save the horizontal advective trends for diagnostic |
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262 | ! ----------------------------------------------------- |
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263 | IF( l_trdtra ) THEN |
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264 | ! T/S ZONAL advection trends |
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265 | ztrdtra(:,:,:) = 0.e0 |
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266 | ! |
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267 | DO jk = 1, jpkm1 |
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268 | DO jj = 2, jpjm1 |
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269 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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270 | !-- Compute zonal divergence by splitting hdivn (see divcur.F90) |
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271 | ! N.B. This computation is not valid along OBCs (if any) |
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272 | #if defined key_zco |
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273 | zbtr = btr2(ji,jj) |
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274 | z_hdivn_x = ( e2u(ji ,jj) * pun(ji ,jj,jk) & |
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275 | & - e2u(ji-1,jj) * pun(ji-1,jj,jk) ) * zbtr |
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276 | #else |
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277 | zbtr = btr2(ji,jj) / fse3t(ji,jj,jk) |
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278 | z_hdivn_x = ( e2u(ji ,jj) * fse3u(ji ,jj,jk) * pun(ji ,jj,jk) & |
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279 | & - e2u(ji-1,jj) * fse3u(ji-1,jj,jk) * pun(ji-1,jj,jk) ) * zbtr |
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280 | #endif |
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281 | ztrdtra(ji,jj,jk) = - zbtr * ( zflux(ji,jj,jk) - zflux(ji-1,jj,jk) ) + tran(ji,jj,jk) * z_hdivn_x |
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282 | END DO |
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283 | END DO |
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284 | END DO |
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285 | END IF |
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286 | |
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287 | END SUBROUTINE tra_adv_qck_i |
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288 | |
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289 | |
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290 | SUBROUTINE tra_adv_qck_j ( kt, pvn, tra, tran, traa, ztrdtra, trd_adv, z2 ) |
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291 | !!---------------------------------------------------------------------- |
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292 | !! |
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293 | !!---------------------------------------------------------------------- |
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294 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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295 | REAL, INTENT(in) :: z2 |
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296 | REAL(wp), INTENT(in) , DIMENSION(jpi,jpj,jpk) :: pvn, tra, tran ! horizontal effective velocity |
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297 | REAL(wp), INTENT(out) , DIMENSION(jpj) :: trd_adv |
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298 | REAL(wp), INTENT(out) , DIMENSION(jpi,jpj,jpk) :: ztrdtra |
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299 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: traa |
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300 | !! |
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301 | INTEGER :: ji, jj, jk |
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302 | REAL(wp) :: za, zbtr, dir, dx, dt ! temporary scalars |
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303 | REAL(wp) :: z_hdivn_y |
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304 | REAL(wp), DIMENSION(jpi,jpj) :: zmask, zupst, zdwst, zc_cfl |
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305 | REAL(wp), DIMENSION(jpi,jpj) :: zfu, zfc, zfd, zfho, zmskl, zsc_e |
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306 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zflux |
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307 | !---------------------------------------------------------------------- |
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308 | ! II. Part 2 : y-direction |
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309 | !---------------------------------------------------------------------- |
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310 | |
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311 | zfu (:,jpj) = 0.e0 ; zfc (:,jpj) = 0.e0 |
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312 | zfd (:,jpj) = 0.e0 ; zc_cfl(:,jpj) = 0.e0 |
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313 | zsc_e (:,jpj) = 0.e0 ; zmskl (:,jpj) = 0.e0 |
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314 | zfho (:,jpj) = 0.e0 |
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315 | |
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316 | ! =============== |
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317 | DO jk = 1, jpkm1 ! Horizontal slab |
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318 | ! ! =============== |
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319 | !--- Computation of the ustream and downstream value of the tracer and the mask |
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320 | DO jj = 2, jpjm1 |
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321 | DO ji = 2, fs_jpim1 ! vector opt. |
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322 | ! Upstream in the x-direction for the tracer |
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323 | zupst(ji,jj)=tra(ji,jj-1,jk) |
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324 | ! Downstream in the x-direction for the tracer |
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325 | zdwst(ji,jj)=tra(ji,jj+1,jk) |
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326 | ! Mask at the T-points in the x-direction (mask=0 or mask=1) |
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327 | zmask(ji,jj)=tmask(ji,jj-1,jk)+tmask(ji,jj,jk)+tmask(ji,jj+1,jk)-2 |
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328 | END DO |
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329 | END DO |
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330 | ! |
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331 | !--- Lateral boundary conditions |
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332 | CALL lbc_lnk( zupst(:,:), 'T', 1. ) |
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333 | CALL lbc_lnk( zdwst(:,:), 'T', 1. ) |
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334 | CALL lbc_lnk( zmask(:,:), 'T', 1. ) |
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335 | ! |
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336 | ! Horizontal advective fluxes |
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337 | ! --------------------------- |
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338 | ! |
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339 | dt = z2 * rdttra(jk) |
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340 | !--- tracer flux at v-points |
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341 | DO jj = 1, jpjm1 |
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342 | DO ji = 1, jpi |
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343 | #if defined key_zco |
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344 | zsc_e(ji,jj) = e1v(ji,jj) |
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345 | #else |
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346 | zsc_e(ji,jj) = e1v(ji,jj) * fse3v(ji,jj,jk) |
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347 | #endif |
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348 | dir = 0.5 + sign(0.5,pvn(ji,jj,jk)) ! if pvn>0 : dir = 1 otherwise dir = 0 |
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349 | dx = dir * e2t(ji,jj) + (1-dir)* e2t(ji,jj+1) |
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350 | zc_cfl(ji,jj) = ABS(pvn(ji,jj,jk))*dt/dx ! (0<zc_cfl<1 : Courant number on y-direction) |
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351 | |
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352 | zfu(ji,jj) = dir*zupst(ji,jj )+(1-dir)*zdwst(ji,jj+1 ) ! FU in the y-direction for T |
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353 | zfc(ji,jj) = dir*tra (ji,jj ,jk)+(1-dir)*tra (ji,jj+1,jk) ! FC in the y-direction for T |
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354 | zfd(ji,jj) = dir*tra (ji,jj+1,jk)+(1-dir)*tra (ji,jj ,jk) ! FD in the y-direction for T |
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355 | zmskl(ji,jj) = dir*zmask(ji,jj )+(1-dir)*zmask(ji,jj+1) |
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356 | END DO |
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357 | END DO |
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358 | ! |
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359 | !--- QUICKEST scheme |
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360 | ! Tracer flux on the y-direction |
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361 | CALL quickest(zfu,zfd,zfc,zfho,zc_cfl) |
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362 | !--- If the second ustream point is a land point |
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363 | !--- the flux is computed by the 1st order UPWIND scheme |
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364 | zfho(:,:) = zmskl(:,:)*zfho(:,:) + (1.-zmskl(:,:))*zfc(:,:) |
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365 | !--- Computation of fluxes |
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366 | zflux(:,:,jk) = zsc_e(:,:)*pvn(:,:,jk)*zfho(:,:) |
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367 | ! |
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368 | !--- Tracer flux divergence at t-point added to the general trend |
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369 | DO jj = 2, jpjm1 |
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370 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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371 | !--- horizontal advective trends |
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372 | #if defined key_zco |
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373 | zbtr = btr2(ji,jj) |
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374 | #else |
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375 | zbtr = btr2(ji,jj) / fse3t(ji,jj,jk) |
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376 | #endif |
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377 | za = - zbtr * ( zflux(ji,jj,jk) - zflux(ji,jj-1,jk) ) |
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378 | !--- add it to the general tracer trends |
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379 | traa(ji,jj,jk) = traa(ji,jj,jk) + za |
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380 | END DO |
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381 | END DO |
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382 | ! ! =============== |
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383 | END DO ! End of slab |
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384 | ! ! =============== |
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385 | ! |
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386 | ! Save the horizontal advective trends for diagnostic |
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387 | ! ----------------------------------------------------- |
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388 | IF( l_trdtra ) THEN |
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389 | ! T/S MERIDIONAL advection trends |
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390 | DO jk = 1, jpkm1 |
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391 | DO jj = 2, jpjm1 |
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392 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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393 | !-- Compute merid. divergence by splitting hdivn (see divcur.F90) |
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394 | ! N.B. This computation is not valid along OBCs (if any) |
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395 | #if defined key_zco |
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396 | zbtr = btr2(ji,jj) |
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397 | z_hdivn_y = ( e1v(ji,jj ) * pvn(ji,jj ,jk) & |
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398 | & - e1v(ji,jj-1) * pvn(ji,jj-1,jk) ) * zbtr |
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399 | #else |
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400 | zbtr = btr2(ji,jj) / fse3t(ji,jj,jk) |
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401 | z_hdivn_y = ( e1v(ji, jj) * fse3v(ji,jj ,jk) * pvn(ji,jj ,jk) & |
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402 | & - e1v(ji,jj-1) * fse3v(ji,jj-1,jk) * pvn(ji,jj-1,jk) ) * zbtr |
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403 | #endif |
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404 | ztrdtra(ji,jj,jk) = - zbtr * ( zflux(ji,jj,jk) - zflux(ji,jj-1,jk) ) + tran(ji,jj,jk) * z_hdivn_y |
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405 | END DO |
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406 | END DO |
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407 | END DO |
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408 | END IF |
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409 | |
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410 | ! "zonal" mean advective heat and salt transport |
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411 | ! ---------------------------------------------- |
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412 | |
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413 | IF( ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
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414 | IF( lk_zco ) THEN |
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415 | DO jk = 1, jpkm1 |
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416 | DO jj = 2, jpjm1 |
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417 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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418 | zflux(ji,jj,jk) = zflux(ji,jj,jk) * fse3v(ji,jj,jk) |
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419 | END DO |
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420 | END DO |
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421 | END DO |
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422 | ENDIF |
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423 | trd_adv(:) = ptr_vj( zflux(:,:,:) ) |
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424 | ENDIF |
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425 | |
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426 | END SUBROUTINE tra_adv_qck_j |
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427 | |
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428 | |
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429 | SUBROUTINE tra_adv_cen2_k ( pwn, ptn, pta ) |
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430 | !!---------------------------------------------------------------------- |
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431 | !! |
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432 | !!---------------------------------------------------------------------- |
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433 | REAL(wp), INTENT(in ), DIMENSION(jpi,jpj,jpk) :: pwn ! vertical effective velocity |
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434 | REAL(wp), INTENT(in ), DIMENSION(jpi,jpj,jpk) :: ptn ! now tracer |
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435 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pta ! tracer general trend |
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436 | !! |
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437 | INTEGER :: ji, jj, jk ! dummy loop indices |
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438 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zflux ! 3D workspace |
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439 | !!---------------------------------------------------------------------- |
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440 | ! |
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441 | ! !== Vertical advective fluxes ==! |
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442 | zflux(:,:,jpk) = 0.e0 ! Bottom value : flux set to zero |
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443 | ! |
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444 | ! ! Surface value |
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445 | IF( lk_vvl ) THEN ; zflux(:,:, 1 ) = 0.e0 ! Variable volume : flux set to zero |
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446 | ELSE ; zflux(:,:, 1 ) = pwn(:,:,1) * ptn(:,:,1) ! Constant volume : advective flux through the surface |
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447 | ENDIF |
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448 | ! |
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449 | DO jk = 2, jpkm1 ! Interior point: second order centered tracer flux at w-point |
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450 | DO jj = 2, jpjm1 |
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451 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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452 | zflux(ji,jj,jk) = 0.5 * pwn(ji,jj,jk) * ( ptn(ji,jj,jk-1) + ptn(ji,jj,jk) ) |
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453 | END DO |
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454 | END DO |
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455 | END DO |
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456 | ! |
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457 | DO jk = 1, jpkm1 !== Tracer flux divergence added to the general trend ==! |
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458 | DO jj = 2, jpjm1 |
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459 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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460 | pta(ji,jj,jk) = pta(ji,jj,jk) - ( zflux(ji,jj,jk) - zflux(ji,jj,jk+1) ) & |
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461 | & / fse3t(ji,jj,jk) |
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462 | END DO |
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463 | END DO |
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464 | END DO |
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465 | ! |
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466 | END SUBROUTINE tra_adv_cen2_k |
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467 | |
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468 | |
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469 | SUBROUTINE quickest( fu, fd, fc, fho, fc_cfl ) |
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470 | !!---------------------------------------------------------------------- |
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471 | !! |
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472 | !!---------------------------------------------------------------------- |
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473 | REAL(wp), INTENT(in) , DIMENSION(jpi,jpj) :: fu, fd, fc, fc_cfl |
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474 | REAL(wp), INTENT(out) , DIMENSION(jpi,jpj) :: fho |
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475 | REAL(wp) , DIMENSION(jpi,jpj) :: zcurv, zcoef1, zcoef2, zcoef3 ! temporary scalars |
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476 | ! |
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477 | zcurv (:,:) = fd(:,:) + fu(:,:) - 2.*fc(:,:) |
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478 | zcoef1(:,:) = 0.5*( fc(:,:) + fd(:,:) ) |
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479 | zcoef2(:,:) = 0.5*fc_cfl(:,:)*( fd(:,:) - fc(:,:) ) |
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480 | zcoef3(:,:) = ( ( 1. - ( fc_cfl(:,:)*fc_cfl(:,:) ) )*r1_6 )*zcurv(:,:) |
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481 | fho (:,:) = zcoef1(:,:) - zcoef2(:,:) - zcoef3(:,:) ! phi_f QUICKEST |
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482 | ! |
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483 | zcoef1(:,:) = fd(:,:) - fu(:,:) ! DEL |
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484 | zcoef2(:,:) = ABS( zcoef1(:,:) ) ! ABS(DEL) |
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485 | zcoef3(:,:) = ABS( zcurv(:,:) ) ! ABS(CURV) |
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486 | ! |
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487 | WHERE ( zcoef3(:,:) >= zcoef2(:,:) ) |
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488 | fho(:,:) = fc(:,:) |
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489 | ELSEWHERE |
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490 | zcoef3(:,:) = fu(:,:) + ( ( fc(:,:) - fu(:,:) )/MAX(fc_cfl(:,:),1.e-9) ) ! phi_REF |
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491 | WHERE ( zcoef1(:,:) >= 0.e0 ) |
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492 | fho(:,:) = MAX(fc(:,:),fho(:,:)) |
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493 | fho(:,:) = MIN(fho(:,:),MIN(zcoef3(:,:),fd(:,:))) |
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494 | ELSEWHERE |
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495 | fho(:,:) = MIN(fc(:,:),fho(:,:)) |
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496 | fho(:,:) = MAX(fho(:,:),MAX(zcoef3(:,:),fd(:,:))) |
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497 | ENDWHERE |
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498 | ENDWHERE |
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499 | ! |
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500 | END SUBROUTINE quickest |
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501 | |
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502 | !!====================================================================== |
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503 | END MODULE traadv_qck |
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