1 | MODULE diahth |
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2 | !!====================================================================== |
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3 | !! *** MODULE diahth *** |
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4 | !! Ocean diagnostics: thermocline and 20 degree depth |
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5 | !!====================================================================== |
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6 | !! History : OPA ! 1994-09 (J.-P. Boulanger) Original code |
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7 | !! ! 1996-11 (E. Guilyardi) OPA8 |
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8 | !! ! 1997-08 (G. Madec) optimization |
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9 | !! ! 1999-07 (E. Guilyardi) hd28 + heat content |
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10 | !! NEMO 1.0 ! 2002-06 (G. Madec) F90: Free form and module |
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11 | !! 3.2 ! 2009-07 (S. Masson) hc300 bugfix + cleaning + add new diag |
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12 | !!---------------------------------------------------------------------- |
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13 | !!---------------------------------------------------------------------- |
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14 | !! 'key_diahth' : thermocline depth diag. |
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15 | !!---------------------------------------------------------------------- |
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16 | !! dia_hth : Compute varius diagnostics associated with the mixed layer |
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17 | !!---------------------------------------------------------------------- |
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18 | USE oce ! ocean dynamics and tracers |
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19 | USE dom_oce ! ocean space and time domain |
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20 | USE phycst ! physical constants |
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21 | ! |
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22 | USE in_out_manager ! I/O manager |
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23 | USE lib_mpp ! MPP library |
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24 | USE iom ! I/O library |
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25 | |
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26 | IMPLICIT NONE |
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27 | PRIVATE |
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28 | |
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29 | PUBLIC dia_hth ! routine called by step.F90 |
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30 | PUBLIC dia_hth_init ! routine called by nemogcm.F90 |
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31 | |
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32 | LOGICAL, PUBLIC :: ln_diahth !: Compute further diagnostics of ML and thermocline depth |
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33 | |
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34 | !!---------------------------------------------------------------------- |
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35 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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36 | !! $Id$ |
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37 | !! Software governed by the CeCILL license (see ./LICENSE) |
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38 | !!---------------------------------------------------------------------- |
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39 | CONTAINS |
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40 | |
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41 | |
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42 | SUBROUTINE dia_hth( kt ) |
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43 | !!--------------------------------------------------------------------- |
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44 | !! *** ROUTINE dia_hth *** |
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45 | !! |
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46 | !! ** Purpose : Computes |
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47 | !! the mixing layer depth (turbocline): avt = 5.e-4 |
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48 | !! the depth of strongest vertical temperature gradient |
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49 | !! the mixed layer depth with density criteria: rho = rho(10m or surf) + 0.03(or 0.01) |
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50 | !! the mixed layer depth with temperature criteria: abs( tn - tn(10m) ) = 0.2 |
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51 | !! the top of the thermochine: tn = tn(10m) - ztem2 |
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52 | !! the pycnocline depth with density criteria equivalent to a temperature variation |
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53 | !! rho = rho10m + (dr/dT)(T,S,10m)*(-0.2 degC) |
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54 | !! the barrier layer thickness |
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55 | !! the maximal verical inversion of temperature and its depth max( 0, max of tn - tn(10m) ) |
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56 | !! the depth of the 20 degree isotherm (linear interpolation) |
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57 | !! the depth of the 28 degree isotherm (linear interpolation) |
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58 | !! the heat content of first 300 m |
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59 | !! |
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60 | !! ** Method : |
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61 | !!------------------------------------------------------------------- |
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62 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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63 | !! |
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64 | INTEGER :: ji, jj, jk ! dummy loop arguments |
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65 | INTEGER :: iid, ilevel ! temporary integers |
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66 | INTEGER, DIMENSION(jpi,jpj) :: ik20, ik28 ! levels |
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67 | REAL(wp) :: zavt5 = 5.e-4_wp ! Kz criterion for the turbocline depth |
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68 | REAL(wp) :: zrho3 = 0.03_wp ! density criterion for mixed layer depth |
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69 | REAL(wp) :: zrho1 = 0.01_wp ! density criterion for mixed layer depth |
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70 | REAL(wp) :: ztem2 = 0.2_wp ! temperature criterion for mixed layer depth |
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71 | REAL(wp) :: zthick_0, zcoef ! temporary scalars |
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72 | REAL(wp) :: zztmp, zzdep ! temporary scalars inside do loop |
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73 | REAL(wp) :: zu, zv, zw, zut, zvt ! temporary workspace |
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74 | REAL(wp), DIMENSION(jpi,jpj) :: zabs2 ! MLD: abs( tn - tn(10m) ) = ztem2 |
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75 | REAL(wp), DIMENSION(jpi,jpj) :: ztm2 ! Top of thermocline: tn = tn(10m) - ztem2 |
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76 | REAL(wp), DIMENSION(jpi,jpj) :: zrho10_3 ! MLD: rho = rho10m + zrho3 |
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77 | REAL(wp), DIMENSION(jpi,jpj) :: zpycn ! pycnocline: rho = rho10m + (dr/dT)(T,S,10m)*(-0.2 degC) |
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78 | REAL(wp), DIMENSION(jpi,jpj) :: ztinv ! max of temperature inversion |
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79 | REAL(wp), DIMENSION(jpi,jpj) :: zdepinv ! depth of temperature inversion |
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80 | REAL(wp), DIMENSION(jpi,jpj) :: zrho0_3 ! MLD rho = rho(surf) = 0.03 |
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81 | REAL(wp), DIMENSION(jpi,jpj) :: zrho0_1 ! MLD rho = rho(surf) = 0.01 |
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82 | REAL(wp), DIMENSION(jpi,jpj) :: zmaxdzT ! max of dT/dz |
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83 | REAL(wp), DIMENSION(jpi,jpj) :: zthick ! vertical integration thickness |
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84 | REAL(wp), DIMENSION(jpi,jpj) :: zdelr ! delta rho equivalent to deltaT = 0.2 |
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85 | ! note: following variables should move to local variables once iom_put is always used |
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86 | REAL(wp), DIMENSION(jpi,jpj) :: zhth !: depth of the max vertical temperature gradient [m] |
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87 | REAL(wp), DIMENSION(jpi,jpj) :: zhd20 !: depth of 20 C isotherm [m] |
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88 | REAL(wp), DIMENSION(jpi,jpj) :: zhd28 !: depth of 28 C isotherm [m] |
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89 | REAL(wp), DIMENSION(jpi,jpj) :: zhtc3 !: heat content of first 300 m [W] |
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90 | |
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91 | <<<<<<< variant A |
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92 | IF (iom_use("mlddzt").OR.iom_use("mldr0_3").OR.iom_use("mldr0_1")) THEN |
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93 | ! ------------------------------------------------------------- ! |
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94 | ! thermocline depth: strongest vertical gradient of temperature ! |
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95 | ! turbocline depth (mixing layer depth): avt = zavt5 ! |
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96 | ! MLD: rho = rho(1) + zrho3 ! |
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97 | ! MLD: rho = rho(1) + zrho1 ! |
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98 | ! ------------------------------------------------------------- ! |
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99 | zmaxdzT(:,:) = 0._wp |
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100 | IF( nla10 > 1 ) THEN |
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101 | >>>>>>> variant B |
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102 | IF(iom_use("mlddzt").OR.iom_use("mldr0_3").OR.iom_use("mldr0_1").OR.iom_use("mld_dt02") & |
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103 | & .OR.iom_use("topthdep").OR.iom_use("mldr10_3").OR.iom_use("pycndep").OR.iom_use("tinv").OR.iom_use("depti")) THEN |
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104 | ! initialization |
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105 | ztinv (:,:) = 0._wp |
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106 | zdepinv(:,:) = 0._wp |
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107 | zmaxdzT(:,:) = 0._wp |
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108 | DO jj = 1, jpj |
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109 | DO ji = 1, jpi |
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110 | zztmp = gdepw_n(ji,jj,mbkt(ji,jj)+1) |
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111 | zhth (ji,jj) = zztmp |
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112 | zabs2 (ji,jj) = zztmp |
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113 | ztm2 (ji,jj) = zztmp |
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114 | zrho10_3(ji,jj) = zztmp |
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115 | zpycn (ji,jj) = zztmp |
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116 | END DO |
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117 | END DO |
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118 | IF( nla10 > 1 ) THEN |
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119 | ======= end |
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120 | DO jj = 1, jpj |
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121 | DO ji = 1, jpi |
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122 | zztmp = gdepw_n(ji,jj,mbkt(ji,jj)+1) |
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123 | zrho0_3(ji,jj) = zztmp |
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124 | zrho0_1(ji,jj) = zztmp |
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125 | <<<<<<< variant A |
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126 | zhth(ji,jj) = zztmp |
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127 | >>>>>>> variant B |
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128 | ======= end |
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129 | END DO |
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130 | END DO |
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131 | <<<<<<< variant A |
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132 | ELSE IF (iom_use("mlddzt")) THEN |
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133 | DO jj = 1, jpj |
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134 | DO ji = 1, jpi |
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135 | zztmp = gdepw_n(ji,jj,mbkt(ji,jj)+1) |
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136 | zhth(ji,jj) = zztmp |
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137 | END DO |
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138 | END DO |
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139 | ELSE |
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140 | zhth(:,:) = 0._wp |
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141 | >>>>>>> variant B |
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142 | ======= end |
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143 | ENDIF |
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144 | <<<<<<< variant A |
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145 | >>>>>>> variant B |
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146 | ENDIF |
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147 | ======= end |
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148 | |
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149 | <<<<<<< variant A |
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150 | >>>>>>> variant B |
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151 | IF (iom_use("mlddzt").OR.iom_use("mldr0_3").OR.iom_use("mldr0_1")) THEN |
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152 | ! ------------------------------------------------------------- ! |
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153 | ! thermocline depth: strongest vertical gradient of temperature ! |
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154 | ! turbocline depth (mixing layer depth): avt = zavt5 ! |
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155 | ! MLD: rho = rho(1) + zrho3 ! |
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156 | ! MLD: rho = rho(1) + zrho1 ! |
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157 | ! ------------------------------------------------------------- ! |
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158 | ======= end |
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159 | DO jk = jpkm1, 2, -1 ! loop from bottom to 2 |
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160 | DO jj = 1, jpj |
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161 | DO ji = 1, jpi |
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162 | ! |
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163 | zzdep = gdepw_n(ji,jj,jk) |
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164 | zztmp = ( tsn(ji,jj,jk-1,jp_tem) - tsn(ji,jj,jk,jp_tem) ) / zzdep * tmask(ji,jj,jk) ! vertical gradient of temperature (dT/dz) |
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165 | zzdep = zzdep * tmask(ji,jj,1) |
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166 | |
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167 | <<<<<<< variant A |
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168 | IF( zztmp > zmaxdzT(ji,jj) ) THEN |
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169 | >>>>>>> variant B |
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170 | IF( zztmp > zmaxdzT(ji,jj) ) THEN |
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171 | ======= end |
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172 | zmaxdzT(ji,jj) = zztmp ; zhth (ji,jj) = zzdep ! max and depth of dT/dz |
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173 | ENDIF |
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174 | |
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175 | <<<<<<< variant A |
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176 | IF( nla10 > 1 ) THEN |
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177 | >>>>>>> variant B |
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178 | IF( nla10 > 1 ) THEN |
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179 | ======= end |
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180 | zztmp = rhop(ji,jj,jk) - rhop(ji,jj,1) ! delta rho(1) |
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181 | IF( zztmp > zrho3 ) zrho0_3(ji,jj) = zzdep ! > 0.03 |
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182 | IF( zztmp > zrho1 ) zrho0_1(ji,jj) = zzdep ! > 0.01 |
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183 | ENDIF |
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184 | |
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185 | END DO |
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186 | END DO |
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187 | END DO |
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188 | |
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189 | IF (iom_use("mlddzt")) CALL iom_put( "mlddzt", zhth*tmask(:,:,1) ) ! depth of the thermocline |
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190 | <<<<<<< variant A |
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191 | IF( nla10 > 1 ) THEN |
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192 | >>>>>>> variant B |
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193 | IF( nla10 > 1 ) THEN |
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194 | ======= end |
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195 | IF (iom_use("mldr0_3")) CALL iom_put( "mldr0_3", zrho0_3*tmask(:,:,1) ) ! MLD delta rho(surf) = 0.03 |
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196 | IF (iom_use("mldr0_1")) CALL iom_put( "mldr0_1", zrho0_1*tmask(:,:,1) ) ! MLD delta rho(surf) = 0.01 |
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197 | ENDIF |
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198 | ENDIF |
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199 | |
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200 | IF (iom_use("mld_dt02").OR.iom_use("topthdep").OR.iom_use("mldr10_3").OR. & |
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201 | & iom_use("pycndep").OR.iom_use("tinv").OR.iom_use("depti")) THEN |
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202 | DO jj = 1, jpj |
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203 | DO ji = 1, jpi |
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204 | zztmp = gdepw_n(ji,jj,mbkt(ji,jj)+1) |
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205 | zabs2 (ji,jj) = zztmp |
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206 | ztm2 (ji,jj) = zztmp |
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207 | zrho10_3(ji,jj) = zztmp |
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208 | zpycn (ji,jj) = zztmp |
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209 | END DO |
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210 | END DO |
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211 | ztinv (:,:) = 0._wp |
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212 | zdepinv(:,:) = 0._wp |
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213 | |
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214 | IF (iom_use("pycndep")) THEN |
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215 | ! Preliminary computation |
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216 | ! computation of zdelr = (dr/dT)(T,S,10m)*(-0.2 degC) |
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217 | DO jj = 1, jpj |
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218 | DO ji = 1, jpi |
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219 | IF( tmask(ji,jj,nla10) == 1. ) THEN |
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220 | zu = 1779.50 + 11.250 * tsn(ji,jj,nla10,jp_tem) - 3.80 * tsn(ji,jj,nla10,jp_sal) & |
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221 | & - 0.0745 * tsn(ji,jj,nla10,jp_tem) * tsn(ji,jj,nla10,jp_tem) & |
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222 | & - 0.0100 * tsn(ji,jj,nla10,jp_tem) * tsn(ji,jj,nla10,jp_sal) |
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223 | zv = 5891.00 + 38.000 * tsn(ji,jj,nla10,jp_tem) + 3.00 * tsn(ji,jj,nla10,jp_sal) & |
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224 | & - 0.3750 * tsn(ji,jj,nla10,jp_tem) * tsn(ji,jj,nla10,jp_tem) |
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225 | zut = 11.25 - 0.149 * tsn(ji,jj,nla10,jp_tem) - 0.01 * tsn(ji,jj,nla10,jp_sal) |
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226 | zvt = 38.00 - 0.750 * tsn(ji,jj,nla10,jp_tem) |
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227 | zw = (zu + 0.698*zv) * (zu + 0.698*zv) |
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228 | zdelr(ji,jj) = ztem2 * (1000.*(zut*zv - zvt*zu)/zw) |
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229 | ELSE |
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230 | zdelr(ji,jj) = 0._wp |
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231 | ENDIF |
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232 | END DO |
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233 | END DO |
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234 | ELSE |
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235 | zdelr(:,:) = 0._wp |
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236 | ENDIF |
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237 | |
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238 | ! ------------------------------------------------------------- ! |
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239 | ! MLD: abs( tn - tn(10m) ) = ztem2 ! |
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240 | ! Top of thermocline: tn = tn(10m) - ztem2 ! |
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241 | ! MLD: rho = rho10m + zrho3 ! |
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242 | ! pycnocline: rho = rho10m + (dr/dT)(T,S,10m)*(-0.2 degC) ! |
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243 | ! temperature inversion: max( 0, max of tn - tn(10m) ) ! |
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244 | ! depth of temperature inversion ! |
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245 | ! ------------------------------------------------------------- ! |
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246 | DO jk = jpkm1, nlb10, -1 ! loop from bottom to nlb10 |
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247 | DO jj = 1, jpj |
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248 | DO ji = 1, jpi |
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249 | ! |
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250 | zzdep = gdepw_n(ji,jj,jk) * tmask(ji,jj,1) |
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251 | ! |
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252 | zztmp = tsn(ji,jj,nla10,jp_tem) - tsn(ji,jj,jk,jp_tem) ! - delta T(10m) |
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253 | IF( ABS(zztmp) > ztem2 ) zabs2 (ji,jj) = zzdep ! abs > 0.2 |
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254 | IF( zztmp > ztem2 ) ztm2 (ji,jj) = zzdep ! > 0.2 |
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255 | zztmp = -zztmp ! delta T(10m) |
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256 | IF( zztmp > ztinv(ji,jj) ) THEN ! temperature inversion |
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257 | ztinv(ji,jj) = zztmp ; zdepinv (ji,jj) = zzdep ! max value and depth |
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258 | ENDIF |
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259 | |
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260 | zztmp = rhop(ji,jj,jk) - rhop(ji,jj,nla10) ! delta rho(10m) |
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261 | IF( zztmp > zrho3 ) zrho10_3(ji,jj) = zzdep ! > 0.03 |
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262 | IF( zztmp > zdelr(ji,jj) ) zpycn (ji,jj) = zzdep ! > equi. delta T(10m) - 0.2 |
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263 | ! |
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264 | END DO |
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265 | END DO |
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266 | END DO |
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267 | |
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268 | IF (iom_use("mld_dt02")) CALL iom_put( "mld_dt02", zabs2*tmask(:,:,1) ) ! MLD abs(delta t) - 0.2 |
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269 | IF (iom_use("topthdep")) CALL iom_put( "topthdep", ztm2*tmask(:,:,1) ) ! T(10) - 0.2 |
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270 | IF (iom_use("mldr10_3")) CALL iom_put( "mldr10_3", zrho10_3*tmask(:,:,1) ) ! MLD delta rho(10m) = 0.03 |
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271 | IF (iom_use("pycndep")) CALL iom_put( "pycndep" , zpycn*tmask(:,:,1) ) ! MLD delta rho equi. delta T(10m) = 0.2 |
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272 | IF (iom_use("tinv")) CALL iom_put( "tinv" , ztinv*tmask(:,:,1) ) ! max. temp. inv. (t10 ref) |
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273 | IF (iom_use("depti")) CALL iom_put( "depti" , zdepinv*tmask(:,:,1) ) ! depth of max. temp. inv. (t10 ref) |
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274 | ENDIF |
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275 | |
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276 | IF(iom_use("20d").OR.iom_use("28d")) THEN |
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277 | ! ----------------------------------- ! |
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278 | ! search deepest level above 20C/28C ! |
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279 | ! ----------------------------------- ! |
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280 | ik20(:,:) = 1 |
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281 | ik28(:,:) = 1 |
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282 | DO jk = 1, jpkm1 ! beware temperature is not always decreasing with depth => loop from top to bottom |
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283 | DO jj = 1, jpj |
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284 | DO ji = 1, jpi |
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285 | zztmp = tsn(ji,jj,jk,jp_tem) |
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286 | IF( zztmp >= 20. ) ik20(ji,jj) = jk |
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287 | IF( zztmp >= 28. ) ik28(ji,jj) = jk |
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288 | END DO |
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289 | END DO |
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290 | END DO |
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291 | |
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292 | ! --------------------------- ! |
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293 | ! Depth of 20C/28C isotherm ! |
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294 | ! --------------------------- ! |
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295 | DO jj = 1, jpj |
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296 | DO ji = 1, jpi |
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297 | ! |
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298 | zzdep = gdepw_n(ji,jj,mbkt(ji,jj)+1) ! depth of the oean bottom |
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299 | ! |
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300 | iid = ik20(ji,jj) |
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301 | IF( iid /= 1 ) THEN |
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302 | zztmp = gdept_n(ji,jj,iid ) & ! linear interpolation |
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303 | & + ( gdept_n(ji,jj,iid+1) - gdept_n(ji,jj,iid) ) & |
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304 | & * ( 20.*tmask(ji,jj,iid+1) - tsn(ji,jj,iid,jp_tem) ) & |
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305 | & / ( tsn(ji,jj,iid+1,jp_tem) - tsn(ji,jj,iid,jp_tem) + (1.-tmask(ji,jj,1)) ) |
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306 | zhd20(ji,jj) = MIN( zztmp , zzdep) * tmask(ji,jj,1) ! bound by the ocean depth |
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307 | ELSE |
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308 | zhd20(ji,jj) = 0._wp |
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309 | ENDIF |
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310 | ! |
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311 | iid = ik28(ji,jj) |
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312 | IF( iid /= 1 ) THEN |
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313 | zztmp = gdept_n(ji,jj,iid ) & ! linear interpolation |
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314 | & + ( gdept_n(ji,jj,iid+1) - gdept_n(ji,jj,iid) ) & |
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315 | & * ( 28.*tmask(ji,jj,iid+1) - tsn(ji,jj,iid,jp_tem) ) & |
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316 | & / ( tsn(ji,jj,iid+1,jp_tem) - tsn(ji,jj,iid,jp_tem) + (1.-tmask(ji,jj,1)) ) |
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317 | zhd28(ji,jj) = MIN( zztmp , zzdep ) * tmask(ji,jj,1) ! bound by the ocean depth |
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318 | ELSE |
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319 | zhd28(ji,jj) = 0._wp |
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320 | ENDIF |
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321 | |
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322 | END DO |
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323 | END DO |
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324 | CALL iom_put( "20d", zhd20 ) ! depth of the 20 isotherm |
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325 | CALL iom_put( "28d", zhd28 ) ! depth of the 28 isotherm |
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326 | ENDIF |
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327 | |
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328 | ! ----------------------------- ! |
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329 | ! Heat content of first 300 m ! |
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330 | ! ----------------------------- ! |
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331 | IF (iom_use("hc300")) THEN |
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332 | ! find ilevel with (ilevel+1) the deepest W-level above 300m (we assume we can use e3t_1d to do this search...) |
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333 | ilevel = 0 |
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334 | zthick_0 = 0._wp |
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335 | DO jk = 1, jpkm1 |
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336 | zthick_0 = zthick_0 + e3t_1d(jk) |
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337 | IF( zthick_0 < 300. ) ilevel = jk |
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338 | END DO |
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339 | ! surface boundary condition |
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340 | IF( ln_linssh ) THEN ; zthick(:,:) = sshn(:,:) ; zhtc3(:,:) = tsn(:,:,1,jp_tem) * sshn(:,:) * tmask(:,:,1) |
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341 | ELSE ; zthick(:,:) = 0._wp ; zhtc3(:,:) = 0._wp |
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342 | ENDIF |
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343 | ! integration down to ilevel |
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344 | DO jk = 1, ilevel |
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345 | zthick(:,:) = zthick(:,:) + e3t_n(:,:,jk) |
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346 | zhtc3 (:,:) = zhtc3 (:,:) + e3t_n(:,:,jk) * tsn(:,:,jk,jp_tem) * tmask(:,:,jk) |
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347 | END DO |
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348 | ! deepest layer |
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349 | zthick(:,:) = 300. - zthick(:,:) ! remaining thickness to reach 300m |
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350 | DO jj = 1, jpj |
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351 | DO ji = 1, jpi |
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352 | zhtc3(ji,jj) = zhtc3(ji,jj) + tsn(ji,jj,ilevel+1,jp_tem) & |
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353 | & * MIN( e3t_n(ji,jj,ilevel+1), zthick(ji,jj) ) * tmask(ji,jj,ilevel+1) |
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354 | END DO |
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355 | END DO |
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356 | ! from temperature to heat contain |
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357 | zcoef = rau0 * rcp |
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358 | zhtc3(:,:) = zcoef * zhtc3(:,:) |
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359 | CALL iom_put( "hc300", zhtc3*tmask(:,:,1) ) ! first 300m heat content |
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360 | ENDIF |
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361 | ! |
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362 | IF( ln_timing ) CALL timing_stop('dia_hth') |
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363 | ! |
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364 | END SUBROUTINE dia_hth |
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365 | |
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366 | |
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367 | SUBROUTINE dia_hth_init |
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368 | !!--------------------------------------------------------------------------- |
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369 | !! *** ROUTINE dia_hth_init *** |
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370 | !! |
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371 | !! ** Purpose: Initialization for ML and thermocline depths |
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372 | !! |
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373 | !! ** Action : Read namelist flag to permit or not extra Ml depths and thermocline depths |
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374 | !!--------------------------------------------------------------------------- |
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375 | INTEGER :: ierror, ios ! local integer |
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376 | !! |
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377 | NAMELIST/namhth/ ln_diahth |
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378 | !!--------------------------------------------------------------------------- |
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379 | ! |
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380 | IF(lwp) THEN |
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381 | WRITE(numout,*) |
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382 | WRITE(numout,*) 'dia_hth_init : heat and salt budgets diagnostics' |
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383 | WRITE(numout,*) '~~~~~~~~~~~~ ' |
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384 | ENDIF |
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385 | REWIND( numnam_ref ) ! Namelist namhth in reference namelist |
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386 | READ ( numnam_ref, namhth, IOSTAT = ios, ERR = 901) |
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387 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namhth in reference namelist', lwp ) |
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388 | REWIND( numnam_cfg ) ! Namelist namhth in configuration namelist |
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389 | READ ( numnam_cfg, namhth, IOSTAT = ios, ERR = 902 ) |
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390 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namhth in configuration namelist', lwp ) |
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391 | IF(lwm) WRITE( numond, namhth ) |
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392 | |
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393 | IF(lwp) THEN |
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394 | WRITE(numout,*) ' Namelist namhth :' |
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395 | WRITE(numout,*) ' check the heat and salt budgets (T) or not (F) ln_diahth = ', ln_diahth |
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396 | ENDIF |
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397 | ! |
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398 | END SUBROUTINE dia_hth_init |
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399 | END MODULE diahth |
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