1 | MODULE traadv_mus_lf |
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2 | !!====================================================================== |
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3 | !! *** MODULE traadv_mus *** |
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4 | !! Ocean tracers: horizontal & vertical advective trend |
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5 | !!====================================================================== |
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6 | !! History : ! 2000-06 (A.Estublier) for passive tracers |
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7 | !! ! 2001-08 (E.Durand, G.Madec) adapted for T & S |
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8 | !! NEMO 1.0 ! 2002-06 (G. Madec) F90: Free form and module |
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9 | !! 3.2 ! 2010-05 (C. Ethe, G. Madec) merge TRC-TRA + switch from velocity to transport |
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10 | !! 3.4 ! 2012-06 (P. Oddo, M. Vichi) include the upstream where needed |
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11 | !! 3.7 ! 2015-09 (G. Madec) add the ice-shelf cavities boundary condition |
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12 | !!---------------------------------------------------------------------- |
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13 | |
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14 | !!---------------------------------------------------------------------- |
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15 | !! tra_adv_mus : update the tracer trend with the horizontal |
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16 | !! and vertical advection trends using MUSCL scheme |
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17 | !!---------------------------------------------------------------------- |
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18 | USE oce ! ocean dynamics and active tracers |
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19 | USE trc_oce ! share passive tracers/Ocean variables |
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20 | USE dom_oce ! ocean space and time domain |
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21 | USE trd_oce ! trends: ocean variables |
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22 | USE trdtra ! tracers trends manager |
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23 | USE sbcrnf ! river runoffs |
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24 | USE diaptr ! poleward transport diagnostics |
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25 | USE diaar5 ! AR5 diagnostics |
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26 | |
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27 | ! |
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28 | USE iom ! XIOS library |
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29 | USE in_out_manager ! I/O manager |
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30 | USE lib_mpp ! distribued memory computing |
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31 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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32 | |
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33 | IMPLICIT NONE |
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34 | PRIVATE |
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35 | |
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36 | PUBLIC tra_adv_mus_lf ! routine called by traadv.F90 |
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37 | |
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38 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: upsmsk !: mixed upstream/centered scheme near some straits |
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39 | ! ! and in closed seas (orca 2 and 1 configurations) |
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40 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: xind !: mixed upstream/centered index |
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41 | |
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42 | LOGICAL :: l_trd ! flag to compute trends |
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43 | LOGICAL :: l_ptr ! flag to compute poleward transport |
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44 | LOGICAL :: l_hst ! flag to compute heat/salt transport |
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45 | |
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46 | !! * Substitutions |
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47 | # include "do_loop_substitute.h90" |
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48 | # include "domzgr_substitute.h90" |
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49 | |
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50 | #define initial_slop_i(out, ji) \ |
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51 | out = umask(ji,jj,jk) * ( pt(ji+1,jj,jk,jn,Kbb) - pt(ji,jj,jk,jn,Kbb) ) |
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52 | |
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53 | #define initial_slop_j(out, jj) \ |
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54 | out = vmask(ji,jj,jk) * ( pt(ji,jj+1,jk,jn,Kbb) - pt(ji,jj,jk,jn,Kbb) ) |
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55 | |
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56 | #define initial_slop_k(out, jk) \ |
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57 | out = tmask(ji,jj,jk) * ( pt(ji,jj,jk-1,jn,Kbb) - pt(ji,jj,jk,jn,Kbb) ) |
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58 | |
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59 | #define tracer_slop(out, zzw, zzwm1) \ |
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60 | out = ( zzw + zzwm1 ) * ( 0.25 + SIGN( 0.25_wp, zzw * zzwm1 ) ) |
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61 | |
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62 | #define limitation_slop(out, zzslp, zzwm1, zzw) \ |
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63 | out = SIGN( 1.0_wp, zzslp ) * MIN( ABS( zzslp ), 2.*ABS( zzwm1 ), 2.*ABS( zzw ) ) |
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64 | |
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65 | #define vertical_adv_flux_i(out, jk, slp, slp1) \ |
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66 | z0u = SIGN( 0.5_wp, pU(ji,jj,jk) ) ; \ |
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67 | zalpha = 0.5 - z0u ; \ |
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68 | zu = z0u - 0.5 * pU(ji,jj,jk) * p2dt * r1_e1e2u(ji,jj) / e3u(ji,jj,jk,Kmm) ; \ |
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69 | zzwx = pt(ji+1,jj,jk,jn,Kbb) + xind(ji,jj,jk) * zu * slp1 ; \ |
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70 | zzwy = pt(ji ,jj,jk,jn,Kbb) + xind(ji,jj,jk) * zu * slp ; \ |
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71 | out = pU(ji,jj,jk) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
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72 | |
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73 | #define vertical_adv_flux_j(out, jk, slp, slp1) \ |
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74 | z0v = SIGN( 0.5_wp, pV(ji,jj,jk) ) ; \ |
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75 | zalpha = 0.5 - z0v ; \ |
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76 | zv = z0v - 0.5 * pV(ji,jj,jk) * p2dt * r1_e1e2v(ji,jj) / e3v(ji,jj,jk,Kmm) ; \ |
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77 | zzwx = pt(ji,jj+1,jk,jn,Kbb) + xind(ji,jj,jk) * zv * slp1 ; \ |
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78 | zzwy = pt(ji,jj ,jk,jn,Kbb) + xind(ji,jj,jk) * zv * slp ; \ |
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79 | out = pV(ji,jj,jk) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
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80 | |
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81 | #define vertical_adv_flux(out, jk, slp, slp1) \ |
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82 | z0w = SIGN( 0.5_wp, pW(ji,jj,jk+1) ) ; \ |
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83 | zalpha = 0.5 + z0w ; \ |
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84 | zw = z0w - 0.5 * pW(ji,jj,jk+1) * p2dt * r1_e1e2t(ji,jj) / e3w(ji,jj,jk+1,Kmm) ; \ |
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85 | zzwx = pt(ji,jj,jk+1,jn,Kbb) + xind(ji,jj,jk) * zw * slp1 ; \ |
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86 | zzwy = pt(ji,jj,jk ,jn,Kbb) + xind(ji,jj,jk) * zw * slp ; \ |
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87 | out = pW(ji,jj,jk+1) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) * wmask(ji,jj,jk) |
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88 | |
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89 | !!---------------------------------------------------------------------- |
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90 | !!---------------------------------------------------------------------- |
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91 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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92 | !! $Id: traadv_mus.F90 13619 2020-10-16 08:41:21Z francesca $ |
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93 | !! Software governed by the CeCILL license (see ./LICENSE) |
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94 | !!---------------------------------------------------------------------- |
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95 | CONTAINS |
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96 | |
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97 | SUBROUTINE tra_adv_mus_lf( kt, kit000, cdtype, p2dt, pU, pV, pW, & |
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98 | & Kbb, Kmm, pt, kjpt, Krhs, ld_msc_ups ) |
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99 | !!---------------------------------------------------------------------- |
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100 | !! *** ROUTINE tra_adv_mus *** |
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101 | !! |
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102 | !! ** Purpose : Compute the now trend due to total advection of tracers |
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103 | !! using a MUSCL scheme (Monotone Upstream-centered Scheme for |
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104 | !! Conservation Laws) and add it to the general tracer trend. |
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105 | !! |
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106 | !! ** Method : MUSCL scheme plus centered scheme at ocean boundaries |
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107 | !! ld_msc_ups=T : |
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108 | !! |
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109 | !! ** Action : - update pt(:,:,:,:,Krhs) with the now advective tracer trends |
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110 | !! - send trends to trdtra module for further diagnostcs (l_trdtra=T) |
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111 | !! - poleward advective heat and salt transport (ln_diaptr=T) |
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112 | !! |
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113 | !! References : Estubier, A., and M. Levy, Notes Techn. Pole de Modelisation |
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114 | !! IPSL, Sept. 2000 (http://www.lodyc.jussieu.fr/opa) |
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115 | !!---------------------------------------------------------------------- |
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116 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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117 | INTEGER , INTENT(in ) :: Kbb, Kmm, Krhs ! ocean time level indices |
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118 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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119 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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120 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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121 | LOGICAL , INTENT(in ) :: ld_msc_ups ! use upstream scheme within muscl |
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122 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
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123 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pU, pV, pW ! 3 ocean volume flux components |
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124 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt,jpt), INTENT(inout) :: pt ! tracers and RHS of tracer equation |
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125 | ! |
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126 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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127 | INTEGER :: ierr ! local integer |
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128 | REAL(wp) :: zu, z0u, zw , zalpha ! local scalars |
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129 | REAL(wp) :: zv, z0v, z0w ! - - |
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130 | REAL(wp) :: zzwx, zzwxm1, zzwxp1, zzwy, zzwym1, zzwyp1 |
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131 | REAL(wp) :: zzwz, zzwzp1, zzwzp2, zzslpz, zzslpzp1 |
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132 | REAL(wp) :: zzslpx, zzslpx_ip1, zzslpy, zzslpy_jp1 |
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133 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwx, zwy, zwz |
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134 | !!---------------------------------------------------------------------- |
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135 | ! |
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136 | IF( kt == kit000 ) THEN |
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137 | IF(lwp) WRITE(numout,*) |
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138 | IF(lwp) WRITE(numout,*) 'tra_adv : MUSCL advection scheme on ', cdtype |
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139 | IF(lwp) WRITE(numout,*) ' : mixed up-stream ', ld_msc_ups |
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140 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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141 | IF(lwp) WRITE(numout,*) |
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142 | ! |
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143 | ! Upstream / MUSCL scheme indicator |
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144 | ! |
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145 | ALLOCATE( xind(jpi,jpj,jpk), STAT=ierr ) |
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146 | xind(:,:,:) = 1._wp ! set equal to 1 where up-stream is not needed |
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147 | ! |
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148 | IF( ld_msc_ups ) THEN ! define the upstream indicator (if asked) |
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149 | ALLOCATE( upsmsk(jpi,jpj), STAT=ierr ) |
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150 | upsmsk(:,:) = 0._wp ! not upstream by default |
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151 | ! |
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152 | DO jk = 1, jpkm1 |
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153 | xind(:,:,jk) = 1._wp & ! =>1 where up-stream is not needed |
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154 | & - MAX ( rnfmsk(:,:) * rnfmsk_z(jk), & ! =>0 near runoff mouths (& closed sea outflows) |
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155 | & upsmsk(:,:) ) * tmask(:,:,jk) ! =>0 in some user defined area |
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156 | END DO |
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157 | ENDIF |
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158 | ! |
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159 | ENDIF |
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160 | ! |
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161 | l_trd = .FALSE. |
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162 | l_hst = .FALSE. |
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163 | l_ptr = .FALSE. |
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164 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
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165 | IF( cdtype == 'TRA' .AND. ( iom_use( 'sophtadv' ) .OR. iom_use( 'sophtadv' ) ) ) l_ptr = .TRUE. |
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166 | IF( cdtype == 'TRA' .AND. ( iom_use("uadv_heattr") .OR. iom_use("vadv_heattr") .OR. & |
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167 | & iom_use("uadv_salttr") .OR. iom_use("vadv_salttr") ) ) l_hst = .TRUE. |
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168 | ! |
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169 | DO jn = 1, kjpt !== loop over the tracers ==! |
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170 | ! |
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171 | ! !* Horizontal advective fluxes |
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172 | ! |
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173 | !!---------------------------------------------------------------------- |
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174 | zwx(:,:,jpk) = 0._wp ! bottom values |
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175 | zwy(:,:,jpk) = 0._wp |
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176 | zwz(:,:, 1 ) = 0._wp ! surface & bottom boundary conditions |
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177 | zwz(:,:,jpk) = 0._wp |
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178 | |
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179 | DO_3D( 1, 0, 1, 0, 1, jpkm1 ) |
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180 | !-- first guess of the slopes |
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181 | initial_slop_i(zzwx, ji) |
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182 | initial_slop_i(zzwxm1, ji-1) |
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183 | initial_slop_i(zzwxp1, ji+1) |
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184 | |
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185 | initial_slop_j(zzwy, jj) |
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186 | initial_slop_j(zzwym1, jj-1) |
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187 | initial_slop_j(zzwyp1, jj+1) |
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188 | !-- Slopes of tracer |
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189 | tracer_slop(zzslpx, zzwx, zzwxm1) |
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190 | tracer_slop(zzslpx_ip1, zzwxp1, zzwx) |
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191 | tracer_slop(zzslpy, zzwy, zzwym1) |
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192 | tracer_slop(zzslpy_jp1, zzwyp1, zzwy) |
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193 | !-- Slopes limitation |
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194 | limitation_slop(zzslpx, zzslpx, zzwxm1, zzwx) |
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195 | limitation_slop(zzslpx_ip1, zzslpx_ip1, zzwx, zzwxp1) |
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196 | limitation_slop(zzslpy, zzslpy, zzwym1, zzwy) |
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197 | limitation_slop(zzslpy_jp1, zzslpy_jp1, zzwy, zzwyp1) |
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198 | !-- MUSCL horizontal advective fluxes |
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199 | vertical_adv_flux_i(zwx(ji,jj,jk), jk, zzslpx, zzslpx_ip1) |
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200 | vertical_adv_flux_j(zwy(ji,jj,jk), jk, zzslpy, zzslpy_jp1) |
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201 | END_3D |
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202 | ! |
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203 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) !-- Tracer advective trend |
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204 | pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) - ( zwx(ji,jj,jk) - zwx(ji-1,jj,jk) & |
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205 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) ) & |
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206 | & * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,Kmm) |
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207 | END_3D |
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208 | ! !* Vertical advective fluxes |
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209 | ! |
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210 | DO_2D( 0, 0, 0, 0 ) |
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211 | !-- first guess of the slopes |
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212 | initial_slop_k(zzwzp1, 2) |
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213 | initial_slop_k(zzwzp2, 3) |
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214 | !-- Slopes of tracer |
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215 | tracer_slop(zzslpzp1, zzwzp1, zzwzp2) |
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216 | !-- Slopes limitation |
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217 | limitation_slop(zzslpzp1, zzslpzp1, zzwzp2, zzwzp1) |
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218 | !-- vertical advective flux |
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219 | vertical_adv_flux(zwz(ji,jj,2), 1, 0, zzslpzp1) |
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220 | END_2D |
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221 | DO_3D( 0, 0, 0, 0, 2, jpk-3 ) |
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222 | !-- first guess of the slopes |
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223 | initial_slop_k(zzwz, jk) |
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224 | initial_slop_k(zzwzp1, jk+1) |
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225 | initial_slop_k(zzwzp2, jk+2) |
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226 | !-- Slopes of tracer |
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227 | tracer_slop(zzslpz, zzwz, zzwzp1) |
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228 | tracer_slop(zzslpzp1, zzwzp1, zzwzp2) |
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229 | !-- Slopes limitation |
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230 | limitation_slop(zzslpz, zzslpz, zzwzp1, zzwz) |
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231 | limitation_slop(zzslpzp1, zzslpzp1, zzwzp2, zzwzp1) |
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232 | !-- vertical advective flux |
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233 | vertical_adv_flux(zwz(ji,jj,jk+1), jk, zzslpz, zzslpzp1) |
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234 | END_3D |
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235 | DO_2D( 0, 0, 0, 0 ) |
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236 | !-- first guess of the slopes |
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237 | initial_slop_k(zzwz, jpk-2) |
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238 | initial_slop_k(zzwzp1, jpk-1) |
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239 | zzwzp2 = 0 |
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240 | !-- Slopes of tracer |
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241 | tracer_slop(zzslpz, zzwz, zzwzp1) |
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242 | tracer_slop(zzslpzp1, zzwzp1, zzwzp2) |
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243 | !-- Slopes limitation |
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244 | limitation_slop(zzslpz, zzslpz, zzwzp1, zzwz) |
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245 | limitation_slop(zzslpzp1, zzslpzp1, zzwzp2, zzwzp1) |
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246 | !-- vertical advective flux |
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247 | vertical_adv_flux(zwz(ji,jj,jpk-1), jpk-2, zzslpz, zzslpzp1) |
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248 | END_2D |
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249 | |
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250 | IF( ln_linssh ) THEN ! top values, linear free surface only |
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251 | IF( ln_isfcav ) THEN ! ice-shelf cavities (top of the ocean) |
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252 | DO_2D( 1, 1, 1, 1 ) |
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253 | zwz(ji,jj, mikt(ji,jj) ) = pW(ji,jj,mikt(ji,jj)) * pt(ji,jj,mikt(ji,jj),jn,Kbb) |
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254 | END_2D |
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255 | ELSE ! no cavities: only at the ocean surface |
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256 | zwz(:,:,1) = pW(:,:,1) * pt(:,:,1,jn,Kbb) |
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257 | ENDIF |
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258 | ENDIF |
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259 | ! |
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260 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) !-- vertical advective trend |
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261 | pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) - ( zwz(ji,jj,jk) - zwz(ji,jj,jk+1) ) & |
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262 | & * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,Kmm) |
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263 | END_3D |
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264 | ! ! trend horizontal diagnostics |
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265 | IF( l_trd ) THEN |
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266 | CALL trd_tra( kt, Kmm, Krhs, cdtype, jn, jptra_xad, zwx, pU, pt(:,:,:,jn,Kbb) ) |
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267 | CALL trd_tra( kt, Kmm, Krhs, cdtype, jn, jptra_yad, zwy, pV, pt(:,:,:,jn,Kbb) ) |
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268 | END IF |
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269 | ! ! "Poleward" heat and salt transports |
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270 | IF( l_ptr ) CALL dia_ptr_hst( jn, 'adv', zwy(:,:,:) ) |
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271 | ! ! heat transport |
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272 | IF( l_hst ) CALL dia_ar5_hst( jn, 'adv', zwx(:,:,:), zwy(:,:,:) ) |
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273 | ! |
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274 | ! ! send vertical trends for diagnostic |
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275 | IF( l_trd ) CALL trd_tra( kt, Kmm, Krhs, cdtype, jn, jptra_zad, zwz, pW, pt(:,:,:,jn,Kbb) ) |
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276 | ! |
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277 | END DO ! end of tracer loop |
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278 | ! |
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279 | END SUBROUTINE tra_adv_mus_lf |
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280 | |
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281 | !!====================================================================== |
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282 | END MODULE traadv_mus_lf |
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