1 | subroutine PHY_vdfTKE_RUN |
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2 | |
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3 | !------------------------------------------------------------------------------+ |
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4 | ! Mon 17-Jun-2013 MAR | |
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5 | ! SubRoutine PHY_vdfTKE_RUN includes Vertical Diffusion of TKE | |
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6 | ! and epsilon | |
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7 | ! | |
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8 | ! | |
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9 | ! version 3.p.4.1 created by H. Gallee, Tue 19-Mar-2013 | |
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10 | ! Last Modification by H. Gallee, Mon 17-Jun-2013 | |
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11 | ! | |
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12 | !------------------------------------------------------------------------------+ |
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13 | ! | |
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14 | ! INPUT: Kzm_AT Vertical Turbulent Coeffic.(momentum) [m2/s2] | |
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15 | ! ^^^^^^ | |
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16 | ! | |
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17 | ! INPUT / OUTPUT: The Vertical Turbulent Fluxes are included for: | |
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18 | ! ^^^^^^^^^^^^^^ | |
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19 | ! a) Turbulent Kinetic Energy TKE_AT(_xyz) [m2/s2] | |
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20 | ! b) Turbulent Kinetic Energy Dissipation eps_AT(_xyz) [m2/s3] | |
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21 | ! | |
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22 | ! #OPTIONS: #De: Dirichlet Type Top Boundary Condit. for TKE_AT (TKE ) | |
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23 | ! #^^^^^^^^ & eps_AT (epsilon) | |
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24 | ! | |
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25 | !------------------------------------------------------------------------------+ |
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26 | |
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27 | use Mod_Real |
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28 | use Mod_PHY____dat |
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29 | use Mod_PHY____grd |
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30 | use Mod_PHY_AT_grd |
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31 | use Mod_PHY_AT_kkl |
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32 | use Mod_PHY_DY_kkl |
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33 | |
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34 | |
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35 | |
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36 | ! Local Variables |
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37 | ! ================ |
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38 | |
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39 | use Mod_vdfTKE_RUN |
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40 | |
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41 | |
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42 | IMPLICIT NONE |
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43 | |
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44 | |
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45 | real(kind=real8) :: S3DSBC |
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46 | real(kind=real8) :: sige2k |
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47 | real(kind=real8) :: psa_sq |
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48 | ! #De real(kind=real8) :: TKEtop = 0. |
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49 | |
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50 | integer :: i ,j ,k |
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51 | integer :: k1 ,ikl |
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52 | |
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53 | |
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54 | |
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55 | |
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56 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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57 | ! ! |
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58 | ! ALLOCATION |
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59 | ! ========== |
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60 | |
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61 | IF (it_RUN.EQ.1 .OR. FlagDALLOC) THEN ! |
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62 | allocate ( S3D__1(mzp-1) ) |
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63 | allocate ( S3D__2(mzp-1) ) |
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64 | allocate ( S3D__3(mzp-1) ) |
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65 | allocate ( S3D__4(mzp-1) ) |
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66 | allocate ( S3D__5(mzp-1) ) |
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67 | allocate ( S3D__6(mzp-1) ) |
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68 | allocate ( S3D__7(mzp-1) ) |
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69 | END IF ! |
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70 | ! ! |
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71 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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72 | |
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73 | |
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74 | |
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75 | |
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76 | ! INITIALIZATION |
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77 | ! ============== |
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78 | |
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79 | sige2k = sige / sigk |
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80 | |
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81 | |
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82 | |
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83 | ! ===================== |
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84 | DO ikl = 1,kcolp |
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85 | ! ===================== |
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86 | |
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87 | i = ii__AP(ikl) |
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88 | j = jj__AP(ikl) |
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89 | |
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90 | psa_sq = psa_DY(ikl) *psa_DY(ikl) |
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91 | |
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92 | |
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93 | |
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94 | |
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95 | ! Vertical Diffusion of Turbulent Kinetic Energy |
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96 | ! ============================================== |
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97 | |
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98 | |
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99 | ! Tridiagonal Matrix Coefficients - TKE_AT |
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100 | ! ---------------------------------------- |
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101 | |
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102 | k=mzp-1 |
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103 | S3DSBC = -GravF2*0.5*(Kzm_AT(ikl,k)+Kzm_AT(ikl,k+1)) &! SBC: TKE and epsilon, Atm SBL |
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104 | & * sigk *betaAT * roamDY(ikl,k)*roa_DY(ikl,k ) &! |
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105 | & /(psa_sq * dsigmi(k) *dsigma( k+1)) |
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106 | S3D__1(mzp-1) = S3DSBC ! SBC: TKE and epsilon, Atm SBL |
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107 | |
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108 | DO k=mzp-2,1,-1 |
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109 | S3D__1(k) =-GravF2*0.5*(Kzm_AT(ikl,k)+Kzm_AT(ikl,k+1)) & |
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110 | & * sigk *betaAT * roamDY(ikl,k)*roa_DY(ikl,k ) & |
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111 | & /(psa_sq * dsigmi(k) *dsigma( k+1)) |
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112 | |
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113 | S3D__3(k+1) = S3D__1(k) * dsigmi( k)/dsigmi( k+1) & |
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114 | & / roa_DY(ikl,k)*roa_DY(ikl,k+1) |
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115 | END DO |
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116 | |
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117 | S3D__3(1) = 0.0 ! UBC: Von Neuman , Atm Top |
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118 | DO k= 1,mzp-1 |
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119 | S3D__1(k) = S3D__1(k) * dt__AT |
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120 | S3D__3(k) = S3D__3(k) * dt__AT |
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121 | S3D__2(k) = 1.0 -S3D__3(k) -S3D__1(k) |
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122 | END DO |
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123 | |
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124 | |
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125 | ! Second Member of the Tridiagonal System - TKE_AT |
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126 | ! ------------------------------------------------ |
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127 | |
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128 | S3D__4(1) = & |
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129 | & S3D__1(1) *a_b_AT*(TKE_AT(ikl,1)-TKE_AT(ikl,k1p(1))) |
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130 | ! #De S3D__1(1) = 0.0 |
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131 | ! #De S3D__2(1) = 1.0 |
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132 | ! #De S3D__4(1) = TKEtop |
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133 | |
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134 | DO k=k1p(1),mzp-2 |
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135 | S3D__4(k) = & |
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136 | & S3D__1(k) *a_b_AT*(TKE_AT(ikl, k )-TKE_AT(ikl,k1p(1))) & |
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137 | & -S3D__3(k) *a_b_AT*(TKE_AT(ikl,k1m(k))-TKE_AT(ikl, k )) |
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138 | END DO |
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139 | |
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140 | k= mzp-1 |
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141 | S3D__4(k) = & |
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142 | & S3D__1(k)*(a_b_AT* TKE_AT(ikl, k )-TKE_AT(ikl,k1p(1)) & |
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143 | & /betaAT ) & |
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144 | & -S3D__3(k) *a_b_AT*(TKE_AT(ikl,k1m(k))-TKE_AT(ikl, k )) |
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145 | |
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146 | S3D__1(k) = 0.000 |
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147 | |
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148 | ! S3D__4(mzp-1)=-(alphAT* TKE_AT(ikl,mzp-1)-TKE_AT(ikl,mzp )) & |
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149 | ! & * GravF2 *0.5000*(Kzm_AT(ikl,mzp-1)+Kzm_AT(ikl,mzp-2)) & |
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150 | ! & * roamDY(ikl,mzp-1)*roamDY(ikl,mzp-1) & |
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151 | ! & / (psa_sq* dsigmi( mzp-1)*dsigma( mzp-1)) & |
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152 | ! & -S3D__3(mzp-1)* a_b_AT*(TKE_AT(ikl,mzp-2)-TKE_AT(ikl,mzp-1)) |
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153 | |
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154 | |
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155 | ! Tridiagonal Matrix Inversion - TKE_AT |
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156 | ! ------------------------------------- |
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157 | |
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158 | k1= 1 |
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159 | ! #De k1= 2 |
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160 | DO k=k1,mzp-1 |
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161 | S3D__4(k) = S3D__4(k) + TKE_AT(ikl,k) |
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162 | END DO |
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163 | |
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164 | ! Forward Sweep |
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165 | ! ~~~~~~~~~~~~~~ |
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166 | S3D__5(1) = S3D__2(1) |
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167 | S3D__6(1) =-S3D__1(1) /S3D__5(1) |
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168 | DO k=k1p(1),mzp-1 |
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169 | S3D__5(k) = S3D__3(k) *S3D__6(k-1)+S3D__2(k) |
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170 | S3D__6(k) =-S3D__1(k) /S3D__5(k) |
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171 | END DO |
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172 | S3D__7(1) = S3D__4(1) /S3D__5(1) |
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173 | DO k=k1p(1),mzp-1 |
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174 | S3D__7(k) =(S3D__4(k) -S3D__3(k) & |
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175 | & *S3D__7(k-1))/S3D__5(k) |
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176 | END DO |
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177 | |
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178 | ! Backward Sweep |
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179 | ! ~~~~~~~~~~~~~~ |
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180 | DO k=k1m(mzp-1),1,-1 |
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181 | S3D__7(k) = S3D__6(k) *S3D__7(k+1)+S3D__7(k) |
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182 | END DO |
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183 | |
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184 | |
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185 | DO k=1,mzp-1 |
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186 | TrT_AT(ikl,k) = TrT_AT(ikl,k) & |
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187 | & +(S3D__7(k) -TKE_AT(ikl,k)) /dt__AT |
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188 | TKE_AT(ikl,k) = S3D__7(k) |
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189 | END DO |
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190 | |
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191 | |
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192 | ! Vertical Diffusion of Dissipation |
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193 | ! ================================= |
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194 | |
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195 | |
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196 | ! Update Tridiagonal Matrix Coefficients - eps_AT |
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197 | ! ----------------------------------------------- |
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198 | |
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199 | S3D__1(mzp-1) = S3DSBC * dt__AT ! SBC: TKE and epsilon, Atm SBL |
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200 | DO k=1,mzp-1 |
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201 | S3D__1(k) = S3D__1(k) * sige2k |
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202 | S3D__3(k) = S3D__3(k) * sige2k |
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203 | S3D__2(k) = 1.0 - S3D__3(k) - S3D__1(k) |
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204 | END DO |
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205 | |
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206 | |
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207 | ! Second Member of the Tridiagonal System - eps_AT |
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208 | ! ------------------------------------------------ |
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209 | |
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210 | S3D__4(1) = & |
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211 | & S3D__1(1) *a_b_AT*(eps_AT(ikl,1)-eps_AT(ikl,k1p(1))) |
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212 | ! #De S3D__1(1) = 0.0 |
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213 | ! #De S3D__2(1) = 1.0 |
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214 | ! #De S3D__4(1) = eps_DI(i,j) |
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215 | |
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216 | DO k=k1p(1),mzp-2 |
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217 | S3D__4(k) = & |
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218 | & S3D__1(k) *a_b_AT*(eps_AT(ikl,k)-eps_AT(ikl,k1p(k))) & |
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219 | & -S3D__3(k) *a_b_AT*(eps_AT(ikl,k1m(k))-eps_AT(ikl,k)) |
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220 | END DO |
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221 | |
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222 | k= mzp-1 |
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223 | S3D__4(k) = & |
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224 | & S3D__1(k)*(a_b_AT* eps_AT(ikl, k )-eps_AT(ikl,k1p(1)) & |
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225 | & /betaAT ) & |
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226 | & -S3D__3(k) *a_b_AT*(eps_AT(ikl,k1m(k))-eps_AT(ikl, k )) |
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227 | |
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228 | S3D__1(k) = 0.000 |
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229 | |
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230 | ! S3D__4(mzp-1)=-(alphAT* eps_AT(ikl,mzp-1)-eps_AT(ikl,mzp)) & |
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231 | ! & * GravF2* 0.5000*(Kzm_AT(ikl,mzp-1)+Kzm_AT(ikl,mzp-2)) & |
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232 | ! & * roamDY(ikl,mzp-1)*roamDY(ikl,mzp-1) & |
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233 | ! & / (psa_sq* dsigmi( mzp-1)*dsigma( mzp-1)) & |
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234 | ! & -S3D__3(mzp-1)* a_b_AT*(eps_AT(ikl,mzp-2)-eps_AT(ikl,mzp-1)) |
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235 | |
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236 | |
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237 | ! Tridiagonal Matrix Inversion - eps_AT |
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238 | ! ------------------------------------- |
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239 | |
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240 | k1= 1 |
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241 | ! #De k1= 2 |
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242 | DO k=k1,mzp-1 |
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243 | S3D__4(k) = S3D__4(k) + eps_AT(ikl,k) |
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244 | END DO |
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245 | |
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246 | ! Forward Sweep |
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247 | ! ~~~~~~~~~~~~~~ |
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248 | S3D__5(1) = S3D__2(1) |
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249 | S3D__6(1) =-S3D__1(1) /S3D__5(1) |
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250 | DO k=k1p(1),mzp-1 |
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251 | S3D__5(k) = S3D__3(k) *S3D__6(k-1)+S3D__2(k) |
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252 | S3D__6(k) =-S3D__1(k) /S3D__5(k) |
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253 | END DO |
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254 | S3D__7(1) = S3D__4(1) /S3D__5(1) |
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255 | DO k=k1p(1),mzp-1 |
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256 | S3D__7(k) =(S3D__4(k) -S3D__3(k) & |
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257 | & *S3D__7(k-1))/S3D__5(k) |
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258 | END DO |
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259 | |
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260 | ! Backward Sweep |
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261 | ! ~~~~~~~~~~~~~~ |
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262 | DO k=k1m(mzp-1),1,-1 |
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263 | S3D__7(k) = S3D__6(k) *S3D__7(k+1)+S3D__7(k) |
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264 | END DO |
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265 | |
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266 | DO k=1,mzp-1 |
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267 | eps_AT(ikl,k) = S3D__7(k) |
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268 | END DO |
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269 | |
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270 | |
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271 | |
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272 | |
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273 | ! ===================== |
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274 | ENDDO ! ikl = 1,kcolp |
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275 | ! ===================== |
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276 | |
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277 | |
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278 | |
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279 | |
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280 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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281 | ! ! |
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282 | ! DE-ALLOCATION |
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283 | ! ============= |
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284 | |
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285 | IF (FlagDALLOC) THEN ! |
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286 | deallocate ( S3D__1 ) |
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287 | deallocate ( S3D__2 ) |
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288 | deallocate ( S3D__3 ) |
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289 | deallocate ( S3D__4 ) |
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290 | deallocate ( S3D__5 ) |
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291 | deallocate ( S3D__6 ) |
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292 | deallocate ( S3D__7 ) |
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293 | ENDIF |
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294 | ! ! |
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295 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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296 | |
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297 | |
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298 | |
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299 | |
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300 | return |
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301 | end subroutine PHY_vdfTKE_RUN |
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