1 | |
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2 | ! $Id: cv_routines.F90 4004 2021-11-09 16:53:19Z acozic $ |
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3 | |
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4 | SUBROUTINE cv_param(nd) |
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5 | IMPLICIT NONE |
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6 | |
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7 | ! ------------------------------------------------------------ |
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8 | ! Set parameters for convectL |
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9 | ! (includes microphysical parameters and parameters that |
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10 | ! control the rate of approach to quasi-equilibrium) |
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11 | ! ------------------------------------------------------------ |
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12 | |
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13 | ! *** ELCRIT IS THE AUTOCONVERSION THERSHOLD WATER CONTENT (gm/gm) *** |
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14 | ! *** TLCRIT IS CRITICAL TEMPERATURE BELOW WHICH THE AUTO- *** |
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15 | ! *** CONVERSION THRESHOLD IS ASSUMED TO BE ZERO *** |
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16 | ! *** (THE AUTOCONVERSION THRESHOLD VARIES LINEARLY *** |
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17 | ! *** BETWEEN 0 C AND TLCRIT) *** |
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18 | ! *** ENTP IS THE COEFFICIENT OF MIXING IN THE ENTRAINMENT *** |
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19 | ! *** FORMULATION *** |
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20 | ! *** SIGD IS THE FRACTIONAL AREA COVERED BY UNSATURATED DNDRAFT *** |
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21 | ! *** SIGS IS THE FRACTION OF PRECIPITATION FALLING OUTSIDE *** |
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22 | ! *** OF CLOUD *** |
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23 | ! *** OMTRAIN IS THE ASSUMED FALL SPEED (P/s) OF RAIN *** |
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24 | ! *** OMTSNOW IS THE ASSUMED FALL SPEED (P/s) OF SNOW *** |
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25 | ! *** COEFFR IS A COEFFICIENT GOVERNING THE RATE OF EVAPORATION *** |
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26 | ! *** OF RAIN *** |
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27 | ! *** COEFFS IS A COEFFICIENT GOVERNING THE RATE OF EVAPORATION *** |
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28 | ! *** OF SNOW *** |
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29 | ! *** CU IS THE COEFFICIENT GOVERNING CONVECTIVE MOMENTUM *** |
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30 | ! *** TRANSPORT *** |
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31 | ! *** DTMAX IS THE MAXIMUM NEGATIVE TEMPERATURE PERTURBATION *** |
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32 | ! *** A LIFTED PARCEL IS ALLOWED TO HAVE BELOW ITS LFC *** |
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33 | ! *** ALPHA AND DAMP ARE PARAMETERS THAT CONTROL THE RATE OF *** |
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34 | ! *** APPROACH TO QUASI-EQUILIBRIUM *** |
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35 | ! *** (THEIR STANDARD VALUES ARE 0.20 AND 0.1, RESPECTIVELY) *** |
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36 | ! *** (DAMP MUST BE LESS THAN 1) *** |
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37 | |
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38 | include "cvparam.h" |
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39 | INTEGER nd |
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40 | CHARACTER (LEN=20) :: modname = 'cv_routines' |
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41 | CHARACTER (LEN=80) :: abort_message |
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42 | |
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43 | ! noff: integer limit for convection (nd-noff) |
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44 | ! minorig: First level of convection |
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45 | |
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46 | noff = 2 |
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47 | minorig = 2 |
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48 | |
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49 | nl = nd - noff |
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50 | nlp = nl + 1 |
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51 | nlm = nl - 1 |
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52 | |
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53 | elcrit = 0.0011 |
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54 | tlcrit = -55.0 |
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55 | entp = 1.5 |
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56 | sigs = 0.12 |
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57 | sigd = 0.05 |
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58 | omtrain = 50.0 |
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59 | omtsnow = 5.5 |
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60 | coeffr = 1.0 |
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61 | coeffs = 0.8 |
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62 | dtmax = 0.9 |
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63 | |
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64 | cu = 0.70 |
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65 | |
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66 | betad = 10.0 |
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67 | |
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68 | damp = 0.1 |
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69 | alpha = 0.2 |
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70 | |
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71 | delta = 0.01 ! cld |
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72 | |
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73 | RETURN |
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74 | END SUBROUTINE cv_param |
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75 | |
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76 | SUBROUTINE cv_prelim(len, nd, ndp1, t, q, p, ph, lv, cpn, tv, gz, h, hm) |
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77 | IMPLICIT NONE |
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78 | |
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79 | ! ===================================================================== |
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80 | ! --- CALCULATE ARRAYS OF GEOPOTENTIAL, HEAT CAPACITY & STATIC ENERGY |
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81 | ! ===================================================================== |
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82 | |
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83 | ! inputs: |
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84 | INTEGER len, nd, ndp1 |
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85 | REAL t(len, nd), q(len, nd), p(len, nd), ph(len, ndp1) |
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86 | |
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87 | ! outputs: |
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88 | REAL lv(len, nd), cpn(len, nd), tv(len, nd) |
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89 | REAL gz(len, nd), h(len, nd), hm(len, nd) |
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90 | |
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91 | ! local variables: |
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92 | INTEGER k, i |
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93 | REAL cpx(len, nd) |
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94 | |
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95 | include "cvthermo.h" |
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96 | include "cvparam.h" |
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97 | |
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98 | |
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99 | DO k = 1, nlp |
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100 | DO i = 1, len |
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101 | lv(i, k) = lv0 - clmcpv*(t(i,k)-t0) |
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102 | cpn(i, k) = cpd*(1.0-q(i,k)) + cpv*q(i, k) |
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103 | cpx(i, k) = cpd*(1.0-q(i,k)) + cl*q(i, k) |
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104 | tv(i, k) = t(i, k)*(1.0+q(i,k)*epsim1) |
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105 | END DO |
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106 | END DO |
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107 | |
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108 | ! gz = phi at the full levels (same as p). |
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109 | |
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110 | DO i = 1, len |
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111 | gz(i, 1) = 0.0 |
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112 | END DO |
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113 | DO k = 2, nlp |
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114 | DO i = 1, len |
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115 | gz(i, k) = gz(i, k-1) + hrd*(tv(i,k-1)+tv(i,k))*(p(i,k-1)-p(i,k))/ph(i, & |
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116 | k) |
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117 | END DO |
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118 | END DO |
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119 | |
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120 | ! h = phi + cpT (dry static energy). |
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121 | ! hm = phi + cp(T-Tbase)+Lq |
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122 | |
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123 | DO k = 1, nlp |
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124 | DO i = 1, len |
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125 | h(i, k) = gz(i, k) + cpn(i, k)*t(i, k) |
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126 | hm(i, k) = gz(i, k) + cpx(i, k)*(t(i,k)-t(i,1)) + lv(i, k)*q(i, k) |
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127 | END DO |
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128 | END DO |
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129 | |
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130 | RETURN |
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131 | END SUBROUTINE cv_prelim |
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132 | |
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133 | SUBROUTINE cv_feed(len, nd, t, q, qs, p, hm, gz, nk, icb, icbmax, iflag, tnk, & |
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134 | qnk, gznk, plcl) |
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135 | IMPLICIT NONE |
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136 | |
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137 | ! ================================================================ |
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138 | ! Purpose: CONVECTIVE FEED |
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139 | ! ================================================================ |
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140 | |
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141 | include "cvparam.h" |
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142 | |
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143 | ! inputs: |
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144 | INTEGER len, nd |
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145 | REAL t(len, nd), q(len, nd), qs(len, nd), p(len, nd) |
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146 | REAL hm(len, nd), gz(len, nd) |
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147 | |
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148 | ! outputs: |
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149 | INTEGER iflag(len), nk(len), icb(len), icbmax |
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150 | REAL tnk(len), qnk(len), gznk(len), plcl(len) |
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151 | |
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152 | ! local variables: |
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153 | INTEGER i, k |
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154 | INTEGER ihmin(len) |
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155 | REAL work(len) |
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156 | REAL pnk(len), qsnk(len), rh(len), chi(len) |
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157 | |
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158 | ! ------------------------------------------------------------------- |
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159 | ! --- Find level of minimum moist static energy |
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160 | ! --- If level of minimum moist static energy coincides with |
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161 | ! --- or is lower than minimum allowable parcel origin level, |
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162 | ! --- set iflag to 6. |
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163 | ! ------------------------------------------------------------------- |
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164 | |
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165 | DO i = 1, len |
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166 | work(i) = 1.0E12 |
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167 | ihmin(i) = nl |
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168 | END DO |
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169 | DO k = 2, nlp |
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170 | DO i = 1, len |
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171 | IF ((hm(i,k)<work(i)) .AND. (hm(i,k)<hm(i,k-1))) THEN |
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172 | work(i) = hm(i, k) |
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173 | ihmin(i) = k |
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174 | END IF |
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175 | END DO |
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176 | END DO |
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177 | DO i = 1, len |
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178 | ihmin(i) = min(ihmin(i), nlm) |
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179 | IF (ihmin(i)<=minorig) THEN |
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180 | iflag(i) = 6 |
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181 | END IF |
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182 | END DO |
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183 | |
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184 | ! ------------------------------------------------------------------- |
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185 | ! --- Find that model level below the level of minimum moist static |
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186 | ! --- energy that has the maximum value of moist static energy |
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187 | ! ------------------------------------------------------------------- |
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188 | |
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189 | DO i = 1, len |
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190 | work(i) = hm(i, minorig) |
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191 | nk(i) = minorig |
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192 | END DO |
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193 | DO k = minorig + 1, nl |
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194 | DO i = 1, len |
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195 | IF ((hm(i,k)>work(i)) .AND. (k<=ihmin(i))) THEN |
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196 | work(i) = hm(i, k) |
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197 | nk(i) = k |
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198 | END IF |
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199 | END DO |
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200 | END DO |
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201 | ! ------------------------------------------------------------------- |
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202 | ! --- Check whether parcel level temperature and specific humidity |
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203 | ! --- are reasonable |
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204 | ! ------------------------------------------------------------------- |
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205 | DO i = 1, len |
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206 | IF (((t(i,nk(i))<250.0) .OR. (q(i,nk(i))<=0.0) .OR. (p(i,ihmin(i))< & |
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207 | 400.0)) .AND. (iflag(i)==0)) iflag(i) = 7 |
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208 | END DO |
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209 | ! ------------------------------------------------------------------- |
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210 | ! --- Calculate lifted condensation level of air at parcel origin level |
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211 | ! --- (Within 0.2% of formula of Bolton, MON. WEA. REV.,1980) |
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212 | ! ------------------------------------------------------------------- |
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213 | DO i = 1, len |
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214 | tnk(i) = t(i, nk(i)) |
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215 | qnk(i) = q(i, nk(i)) |
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216 | gznk(i) = gz(i, nk(i)) |
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217 | pnk(i) = p(i, nk(i)) |
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218 | qsnk(i) = qs(i, nk(i)) |
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219 | |
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220 | rh(i) = qnk(i)/qsnk(i) |
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221 | rh(i) = min(1.0, rh(i)) |
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222 | chi(i) = tnk(i)/(1669.0-122.0*rh(i)-tnk(i)) |
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223 | plcl(i) = pnk(i)*(rh(i)**chi(i)) |
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224 | IF (((plcl(i)<200.0) .OR. (plcl(i)>=2000.0)) .AND. (iflag(i)==0)) iflag(i & |
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225 | ) = 8 |
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226 | END DO |
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227 | ! ------------------------------------------------------------------- |
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228 | ! --- Calculate first level above lcl (=icb) |
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229 | ! ------------------------------------------------------------------- |
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230 | DO i = 1, len |
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231 | icb(i) = nlm |
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232 | END DO |
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233 | |
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234 | DO k = minorig, nl |
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235 | DO i = 1, len |
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236 | IF ((k>=(nk(i)+1)) .AND. (p(i,k)<plcl(i))) icb(i) = min(icb(i), k) |
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237 | END DO |
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238 | END DO |
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239 | |
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240 | DO i = 1, len |
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241 | IF ((icb(i)>=nlm) .AND. (iflag(i)==0)) iflag(i) = 9 |
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242 | END DO |
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243 | |
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244 | ! Compute icbmax. |
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245 | |
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246 | icbmax = 2 |
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247 | DO i = 1, len |
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248 | icbmax = max(icbmax, icb(i)) |
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249 | END DO |
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250 | |
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251 | RETURN |
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252 | END SUBROUTINE cv_feed |
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253 | |
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254 | SUBROUTINE cv_undilute1(len, nd, t, q, qs, gz, p, nk, icb, icbmax, tp, tvp, & |
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255 | clw) |
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256 | IMPLICIT NONE |
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257 | |
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258 | include "cvthermo.h" |
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259 | include "cvparam.h" |
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260 | |
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261 | ! inputs: |
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262 | INTEGER len, nd |
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263 | INTEGER nk(len), icb(len), icbmax |
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264 | REAL t(len, nd), q(len, nd), qs(len, nd), gz(len, nd) |
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265 | REAL p(len, nd) |
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266 | |
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267 | ! outputs: |
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268 | REAL tp(len, nd), tvp(len, nd), clw(len, nd) |
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269 | |
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270 | ! local variables: |
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271 | INTEGER i, k |
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272 | REAL tg, qg, alv, s, ahg, tc, denom, es, rg |
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273 | REAL ah0(len), cpp(len) |
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274 | REAL tnk(len), qnk(len), gznk(len), ticb(len), gzicb(len) |
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275 | |
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276 | ! ------------------------------------------------------------------- |
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277 | ! --- Calculates the lifted parcel virtual temperature at nk, |
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278 | ! --- the actual temperature, and the adiabatic |
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279 | ! --- liquid water content. The procedure is to solve the equation. |
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280 | ! cp*tp+L*qp+phi=cp*tnk+L*qnk+gznk. |
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281 | ! ------------------------------------------------------------------- |
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282 | |
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283 | DO i = 1, len |
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284 | tnk(i) = t(i, nk(i)) |
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285 | qnk(i) = q(i, nk(i)) |
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286 | gznk(i) = gz(i, nk(i)) |
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287 | ticb(i) = t(i, icb(i)) |
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288 | gzicb(i) = gz(i, icb(i)) |
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289 | END DO |
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290 | |
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291 | ! *** Calculate certain parcel quantities, including static energy *** |
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292 | |
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293 | DO i = 1, len |
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294 | ah0(i) = (cpd*(1.-qnk(i))+cl*qnk(i))*tnk(i) + qnk(i)*(lv0-clmcpv*(tnk(i)- & |
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295 | 273.15)) + gznk(i) |
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296 | cpp(i) = cpd*(1.-qnk(i)) + qnk(i)*cpv |
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297 | END DO |
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298 | |
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299 | ! *** Calculate lifted parcel quantities below cloud base *** |
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300 | |
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301 | DO k = minorig, icbmax - 1 |
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302 | DO i = 1, len |
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303 | tp(i, k) = tnk(i) - (gz(i,k)-gznk(i))/cpp(i) |
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304 | tvp(i, k) = tp(i, k)*(1.+qnk(i)*epsi) |
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305 | END DO |
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306 | END DO |
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307 | |
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308 | ! *** Find lifted parcel quantities above cloud base *** |
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309 | |
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310 | DO i = 1, len |
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311 | tg = ticb(i) |
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312 | qg = qs(i, icb(i)) |
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313 | alv = lv0 - clmcpv*(ticb(i)-t0) |
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314 | |
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315 | ! First iteration. |
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316 | |
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317 | s = cpd + alv*alv*qg/(rrv*ticb(i)*ticb(i)) |
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318 | s = 1./s |
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319 | ahg = cpd*tg + (cl-cpd)*qnk(i)*ticb(i) + alv*qg + gzicb(i) |
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320 | tg = tg + s*(ah0(i)-ahg) |
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321 | tg = max(tg, 35.0) |
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322 | tc = tg - t0 |
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323 | denom = 243.5 + tc |
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324 | IF (tc>=0.0) THEN |
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325 | es = 6.112*exp(17.67*tc/denom) |
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326 | ELSE |
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327 | es = exp(23.33086-6111.72784/tg+0.15215*log(tg)) |
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328 | END IF |
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329 | qg = eps*es/(p(i,icb(i))-es*(1.-eps)) |
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330 | |
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331 | ! Second iteration. |
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332 | |
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333 | s = cpd + alv*alv*qg/(rrv*ticb(i)*ticb(i)) |
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334 | s = 1./s |
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335 | ahg = cpd*tg + (cl-cpd)*qnk(i)*ticb(i) + alv*qg + gzicb(i) |
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336 | tg = tg + s*(ah0(i)-ahg) |
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337 | tg = max(tg, 35.0) |
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338 | tc = tg - t0 |
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339 | denom = 243.5 + tc |
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340 | IF (tc>=0.0) THEN |
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341 | es = 6.112*exp(17.67*tc/denom) |
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342 | ELSE |
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343 | es = exp(23.33086-6111.72784/tg+0.15215*log(tg)) |
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344 | END IF |
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345 | qg = eps*es/(p(i,icb(i))-es*(1.-eps)) |
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346 | |
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347 | alv = lv0 - clmcpv*(ticb(i)-273.15) |
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348 | tp(i, icb(i)) = (ah0(i)-(cl-cpd)*qnk(i)*ticb(i)-gz(i,icb(i))-alv*qg)/cpd |
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349 | clw(i, icb(i)) = qnk(i) - qg |
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350 | clw(i, icb(i)) = max(0.0, clw(i,icb(i))) |
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351 | rg = qg/(1.-qnk(i)) |
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352 | tvp(i, icb(i)) = tp(i, icb(i))*(1.+rg*epsi) |
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353 | END DO |
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354 | |
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355 | DO k = minorig, icbmax |
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356 | DO i = 1, len |
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357 | tvp(i, k) = tvp(i, k) - tp(i, k)*qnk(i) |
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358 | END DO |
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359 | END DO |
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360 | |
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361 | RETURN |
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362 | END SUBROUTINE cv_undilute1 |
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363 | |
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364 | SUBROUTINE cv_trigger(len, nd, icb, cbmf, tv, tvp, iflag) |
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365 | IMPLICIT NONE |
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366 | |
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367 | ! ------------------------------------------------------------------- |
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368 | ! --- Test for instability. |
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369 | ! --- If there was no convection at last time step and parcel |
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370 | ! --- is stable at icb, then set iflag to 4. |
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371 | ! ------------------------------------------------------------------- |
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372 | |
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373 | include "cvparam.h" |
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374 | |
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375 | ! inputs: |
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376 | INTEGER len, nd, icb(len) |
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377 | REAL cbmf(len), tv(len, nd), tvp(len, nd) |
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378 | |
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379 | ! outputs: |
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380 | INTEGER iflag(len) ! also an input |
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381 | |
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382 | ! local variables: |
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383 | INTEGER i |
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384 | |
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385 | |
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386 | DO i = 1, len |
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387 | IF ((cbmf(i)==0.0) .AND. (iflag(i)==0) .AND. (tvp(i, & |
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388 | icb(i))<=(tv(i,icb(i))-dtmax))) iflag(i) = 4 |
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389 | END DO |
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390 | |
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391 | RETURN |
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392 | END SUBROUTINE cv_trigger |
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393 | |
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394 | SUBROUTINE cv_compress(len, nloc, ncum, nd, iflag1, nk1, icb1, cbmf1, plcl1, & |
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395 | tnk1, qnk1, gznk1, t1, q1, qs1, u1, v1, gz1, h1, lv1, cpn1, p1, ph1, tv1, & |
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396 | tp1, tvp1, clw1, iflag, nk, icb, cbmf, plcl, tnk, qnk, gznk, t, q, qs, u, & |
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397 | v, gz, h, lv, cpn, p, ph, tv, tp, tvp, clw, dph) |
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398 | USE print_control_mod, ONLY: lunout |
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399 | IMPLICIT NONE |
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400 | |
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401 | include "cvparam.h" |
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402 | |
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403 | ! inputs: |
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404 | INTEGER len, ncum, nd, nloc |
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405 | INTEGER iflag1(len), nk1(len), icb1(len) |
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406 | REAL cbmf1(len), plcl1(len), tnk1(len), qnk1(len), gznk1(len) |
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407 | REAL t1(len, nd), q1(len, nd), qs1(len, nd), u1(len, nd), v1(len, nd) |
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408 | REAL gz1(len, nd), h1(len, nd), lv1(len, nd), cpn1(len, nd) |
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409 | REAL p1(len, nd), ph1(len, nd+1), tv1(len, nd), tp1(len, nd) |
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410 | REAL tvp1(len, nd), clw1(len, nd) |
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411 | |
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412 | ! outputs: |
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413 | INTEGER iflag(nloc), nk(nloc), icb(nloc) |
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414 | REAL cbmf(nloc), plcl(nloc), tnk(nloc), qnk(nloc), gznk(nloc) |
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415 | REAL t(nloc, nd), q(nloc, nd), qs(nloc, nd), u(nloc, nd), v(nloc, nd) |
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416 | REAL gz(nloc, nd), h(nloc, nd), lv(nloc, nd), cpn(nloc, nd) |
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417 | REAL p(nloc, nd), ph(nloc, nd+1), tv(nloc, nd), tp(nloc, nd) |
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418 | REAL tvp(nloc, nd), clw(nloc, nd) |
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419 | REAL dph(nloc, nd) |
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420 | |
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421 | ! local variables: |
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422 | INTEGER i, k, nn |
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423 | CHARACTER (LEN=20) :: modname = 'cv_compress' |
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424 | CHARACTER (LEN=80) :: abort_message |
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425 | |
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426 | |
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427 | DO k = 1, nl + 1 |
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428 | nn = 0 |
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429 | DO i = 1, len |
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430 | IF (iflag1(i)==0) THEN |
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431 | nn = nn + 1 |
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432 | t(nn, k) = t1(i, k) |
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433 | q(nn, k) = q1(i, k) |
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434 | qs(nn, k) = qs1(i, k) |
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435 | u(nn, k) = u1(i, k) |
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436 | v(nn, k) = v1(i, k) |
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437 | gz(nn, k) = gz1(i, k) |
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438 | h(nn, k) = h1(i, k) |
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439 | lv(nn, k) = lv1(i, k) |
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440 | cpn(nn, k) = cpn1(i, k) |
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441 | p(nn, k) = p1(i, k) |
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442 | ph(nn, k) = ph1(i, k) |
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443 | tv(nn, k) = tv1(i, k) |
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444 | tp(nn, k) = tp1(i, k) |
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445 | tvp(nn, k) = tvp1(i, k) |
---|
446 | clw(nn, k) = clw1(i, k) |
---|
447 | END IF |
---|
448 | END DO |
---|
449 | END DO |
---|
450 | |
---|
451 | IF (nn/=ncum) THEN |
---|
452 | WRITE (lunout, *) 'strange! nn not equal to ncum: ', nn, ncum |
---|
453 | abort_message = '' |
---|
454 | CALL abort_physic(modname, abort_message, 1) |
---|
455 | END IF |
---|
456 | |
---|
457 | nn = 0 |
---|
458 | DO i = 1, len |
---|
459 | IF (iflag1(i)==0) THEN |
---|
460 | nn = nn + 1 |
---|
461 | cbmf(nn) = cbmf1(i) |
---|
462 | plcl(nn) = plcl1(i) |
---|
463 | tnk(nn) = tnk1(i) |
---|
464 | qnk(nn) = qnk1(i) |
---|
465 | gznk(nn) = gznk1(i) |
---|
466 | nk(nn) = nk1(i) |
---|
467 | icb(nn) = icb1(i) |
---|
468 | iflag(nn) = iflag1(i) |
---|
469 | END IF |
---|
470 | END DO |
---|
471 | |
---|
472 | DO k = 1, nl |
---|
473 | DO i = 1, ncum |
---|
474 | dph(i, k) = ph(i, k) - ph(i, k+1) |
---|
475 | END DO |
---|
476 | END DO |
---|
477 | |
---|
478 | RETURN |
---|
479 | END SUBROUTINE cv_compress |
---|
480 | |
---|
481 | SUBROUTINE cv_undilute2(nloc, ncum, nd, icb, nk, tnk, qnk, gznk, t, q, qs, & |
---|
482 | gz, p, dph, h, tv, lv, inb, inb1, tp, tvp, clw, hp, ep, sigp, frac) |
---|
483 | IMPLICIT NONE |
---|
484 | |
---|
485 | ! --------------------------------------------------------------------- |
---|
486 | ! Purpose: |
---|
487 | ! FIND THE REST OF THE LIFTED PARCEL TEMPERATURES |
---|
488 | ! & |
---|
489 | ! COMPUTE THE PRECIPITATION EFFICIENCIES AND THE |
---|
490 | ! FRACTION OF PRECIPITATION FALLING OUTSIDE OF CLOUD |
---|
491 | ! & |
---|
492 | ! FIND THE LEVEL OF NEUTRAL BUOYANCY |
---|
493 | ! --------------------------------------------------------------------- |
---|
494 | |
---|
495 | include "cvthermo.h" |
---|
496 | include "cvparam.h" |
---|
497 | |
---|
498 | ! inputs: |
---|
499 | INTEGER ncum, nd, nloc |
---|
500 | INTEGER icb(nloc), nk(nloc) |
---|
501 | REAL t(nloc, nd), q(nloc, nd), qs(nloc, nd), gz(nloc, nd) |
---|
502 | REAL p(nloc, nd), dph(nloc, nd) |
---|
503 | REAL tnk(nloc), qnk(nloc), gznk(nloc) |
---|
504 | REAL lv(nloc, nd), tv(nloc, nd), h(nloc, nd) |
---|
505 | |
---|
506 | ! outputs: |
---|
507 | INTEGER inb(nloc), inb1(nloc) |
---|
508 | REAL tp(nloc, nd), tvp(nloc, nd), clw(nloc, nd) |
---|
509 | REAL ep(nloc, nd), sigp(nloc, nd), hp(nloc, nd) |
---|
510 | REAL frac(nloc) |
---|
511 | |
---|
512 | ! local variables: |
---|
513 | INTEGER i, k |
---|
514 | REAL tg, qg, ahg, alv, s, tc, es, denom, rg, tca, elacrit |
---|
515 | REAL by, defrac |
---|
516 | REAL ah0(nloc), cape(nloc), capem(nloc), byp(nloc) |
---|
517 | LOGICAL lcape(nloc) |
---|
518 | |
---|
519 | ! ===================================================================== |
---|
520 | ! --- SOME INITIALIZATIONS |
---|
521 | ! ===================================================================== |
---|
522 | |
---|
523 | DO k = 1, nl |
---|
524 | DO i = 1, ncum |
---|
525 | ep(i, k) = 0.0 |
---|
526 | sigp(i, k) = sigs |
---|
527 | END DO |
---|
528 | END DO |
---|
529 | |
---|
530 | ! ===================================================================== |
---|
531 | ! --- FIND THE REST OF THE LIFTED PARCEL TEMPERATURES |
---|
532 | ! ===================================================================== |
---|
533 | |
---|
534 | ! --- The procedure is to solve the equation. |
---|
535 | ! cp*tp+L*qp+phi=cp*tnk+L*qnk+gznk. |
---|
536 | |
---|
537 | ! *** Calculate certain parcel quantities, including static energy *** |
---|
538 | |
---|
539 | |
---|
540 | DO i = 1, ncum |
---|
541 | ah0(i) = (cpd*(1.-qnk(i))+cl*qnk(i))*tnk(i) + qnk(i)*(lv0-clmcpv*(tnk(i)- & |
---|
542 | t0)) + gznk(i) |
---|
543 | END DO |
---|
544 | |
---|
545 | |
---|
546 | ! *** Find lifted parcel quantities above cloud base *** |
---|
547 | |
---|
548 | |
---|
549 | DO k = minorig + 1, nl |
---|
550 | DO i = 1, ncum |
---|
551 | IF (k>=(icb(i)+1)) THEN |
---|
552 | tg = t(i, k) |
---|
553 | qg = qs(i, k) |
---|
554 | alv = lv0 - clmcpv*(t(i,k)-t0) |
---|
555 | |
---|
556 | ! First iteration. |
---|
557 | |
---|
558 | s = cpd + alv*alv*qg/(rrv*t(i,k)*t(i,k)) |
---|
559 | s = 1./s |
---|
560 | ahg = cpd*tg + (cl-cpd)*qnk(i)*t(i, k) + alv*qg + gz(i, k) |
---|
561 | tg = tg + s*(ah0(i)-ahg) |
---|
562 | tg = max(tg, 35.0) |
---|
563 | tc = tg - t0 |
---|
564 | denom = 243.5 + tc |
---|
565 | IF (tc>=0.0) THEN |
---|
566 | es = 6.112*exp(17.67*tc/denom) |
---|
567 | ELSE |
---|
568 | es = exp(23.33086-6111.72784/tg+0.15215*log(tg)) |
---|
569 | END IF |
---|
570 | qg = eps*es/(p(i,k)-es*(1.-eps)) |
---|
571 | |
---|
572 | ! Second iteration. |
---|
573 | |
---|
574 | s = cpd + alv*alv*qg/(rrv*t(i,k)*t(i,k)) |
---|
575 | s = 1./s |
---|
576 | ahg = cpd*tg + (cl-cpd)*qnk(i)*t(i, k) + alv*qg + gz(i, k) |
---|
577 | tg = tg + s*(ah0(i)-ahg) |
---|
578 | tg = max(tg, 35.0) |
---|
579 | tc = tg - t0 |
---|
580 | denom = 243.5 + tc |
---|
581 | IF (tc>=0.0) THEN |
---|
582 | es = 6.112*exp(17.67*tc/denom) |
---|
583 | ELSE |
---|
584 | es = exp(23.33086-6111.72784/tg+0.15215*log(tg)) |
---|
585 | END IF |
---|
586 | qg = eps*es/(p(i,k)-es*(1.-eps)) |
---|
587 | |
---|
588 | alv = lv0 - clmcpv*(t(i,k)-t0) |
---|
589 | ! print*,'cpd dans convect2 ',cpd |
---|
590 | ! print*,'tp(i,k),ah0(i),cl,cpd,qnk(i),t(i,k),gz(i,k),alv,qg,cpd' |
---|
591 | ! print*,tp(i,k),ah0(i),cl,cpd,qnk(i),t(i,k),gz(i,k),alv,qg,cpd |
---|
592 | tp(i, k) = (ah0(i)-(cl-cpd)*qnk(i)*t(i,k)-gz(i,k)-alv*qg)/cpd |
---|
593 | ! if (.not.cpd.gt.1000.) then |
---|
594 | ! print*,'CPD=',cpd |
---|
595 | ! stop |
---|
596 | ! endif |
---|
597 | clw(i, k) = qnk(i) - qg |
---|
598 | clw(i, k) = max(0.0, clw(i,k)) |
---|
599 | rg = qg/(1.-qnk(i)) |
---|
600 | tvp(i, k) = tp(i, k)*(1.+rg*epsi) |
---|
601 | END IF |
---|
602 | END DO |
---|
603 | END DO |
---|
604 | |
---|
605 | ! ===================================================================== |
---|
606 | ! --- SET THE PRECIPITATION EFFICIENCIES AND THE FRACTION OF |
---|
607 | ! --- PRECIPITATION FALLING OUTSIDE OF CLOUD |
---|
608 | ! --- THESE MAY BE FUNCTIONS OF TP(I), P(I) AND CLW(I) |
---|
609 | ! ===================================================================== |
---|
610 | |
---|
611 | DO k = minorig + 1, nl |
---|
612 | DO i = 1, ncum |
---|
613 | IF (k>=(nk(i)+1)) THEN |
---|
614 | tca = tp(i, k) - t0 |
---|
615 | IF (tca>=0.0) THEN |
---|
616 | elacrit = elcrit |
---|
617 | ELSE |
---|
618 | elacrit = elcrit*(1.0-tca/tlcrit) |
---|
619 | END IF |
---|
620 | elacrit = max(elacrit, 0.0) |
---|
621 | ep(i, k) = 1.0 - elacrit/max(clw(i,k), 1.0E-8) |
---|
622 | ep(i, k) = max(ep(i,k), 0.0) |
---|
623 | ep(i, k) = min(ep(i,k), 1.0) |
---|
624 | sigp(i, k) = sigs |
---|
625 | END IF |
---|
626 | END DO |
---|
627 | END DO |
---|
628 | |
---|
629 | ! ===================================================================== |
---|
630 | ! --- CALCULATE VIRTUAL TEMPERATURE AND LIFTED PARCEL |
---|
631 | ! --- VIRTUAL TEMPERATURE |
---|
632 | ! ===================================================================== |
---|
633 | |
---|
634 | DO k = minorig + 1, nl |
---|
635 | DO i = 1, ncum |
---|
636 | IF (k>=(icb(i)+1)) THEN |
---|
637 | tvp(i, k) = tvp(i, k)*(1.0-qnk(i)+ep(i,k)*clw(i,k)) |
---|
638 | ! print*,'i,k,tvp(i,k),qnk(i),ep(i,k),clw(i,k)' |
---|
639 | ! print*, i,k,tvp(i,k),qnk(i),ep(i,k),clw(i,k) |
---|
640 | END IF |
---|
641 | END DO |
---|
642 | END DO |
---|
643 | DO i = 1, ncum |
---|
644 | tvp(i, nlp) = tvp(i, nl) - (gz(i,nlp)-gz(i,nl))/cpd |
---|
645 | END DO |
---|
646 | |
---|
647 | ! ===================================================================== |
---|
648 | ! --- FIND THE FIRST MODEL LEVEL (INB1) ABOVE THE PARCEL'S |
---|
649 | ! --- HIGHEST LEVEL OF NEUTRAL BUOYANCY |
---|
650 | ! --- AND THE HIGHEST LEVEL OF POSITIVE CAPE (INB) |
---|
651 | ! ===================================================================== |
---|
652 | |
---|
653 | DO i = 1, ncum |
---|
654 | cape(i) = 0.0 |
---|
655 | capem(i) = 0.0 |
---|
656 | inb(i) = icb(i) + 1 |
---|
657 | inb1(i) = inb(i) |
---|
658 | END DO |
---|
659 | |
---|
660 | ! Originial Code |
---|
661 | |
---|
662 | ! do 530 k=minorig+1,nl-1 |
---|
663 | ! do 520 i=1,ncum |
---|
664 | ! if(k.ge.(icb(i)+1))then |
---|
665 | ! by=(tvp(i,k)-tv(i,k))*dph(i,k)/p(i,k) |
---|
666 | ! byp=(tvp(i,k+1)-tv(i,k+1))*dph(i,k+1)/p(i,k+1) |
---|
667 | ! cape(i)=cape(i)+by |
---|
668 | ! if(by.ge.0.0)inb1(i)=k+1 |
---|
669 | ! if(cape(i).gt.0.0)then |
---|
670 | ! inb(i)=k+1 |
---|
671 | ! capem(i)=cape(i) |
---|
672 | ! endif |
---|
673 | ! endif |
---|
674 | ! 520 continue |
---|
675 | ! 530 continue |
---|
676 | ! do 540 i=1,ncum |
---|
677 | ! byp=(tvp(i,nl)-tv(i,nl))*dph(i,nl)/p(i,nl) |
---|
678 | ! cape(i)=capem(i)+byp |
---|
679 | ! defrac=capem(i)-cape(i) |
---|
680 | ! defrac=max(defrac,0.001) |
---|
681 | ! frac(i)=-cape(i)/defrac |
---|
682 | ! frac(i)=min(frac(i),1.0) |
---|
683 | ! frac(i)=max(frac(i),0.0) |
---|
684 | ! 540 continue |
---|
685 | |
---|
686 | ! K Emanuel fix |
---|
687 | |
---|
688 | ! call zilch(byp,ncum) |
---|
689 | ! do 530 k=minorig+1,nl-1 |
---|
690 | ! do 520 i=1,ncum |
---|
691 | ! if(k.ge.(icb(i)+1))then |
---|
692 | ! by=(tvp(i,k)-tv(i,k))*dph(i,k)/p(i,k) |
---|
693 | ! cape(i)=cape(i)+by |
---|
694 | ! if(by.ge.0.0)inb1(i)=k+1 |
---|
695 | ! if(cape(i).gt.0.0)then |
---|
696 | ! inb(i)=k+1 |
---|
697 | ! capem(i)=cape(i) |
---|
698 | ! byp(i)=(tvp(i,k+1)-tv(i,k+1))*dph(i,k+1)/p(i,k+1) |
---|
699 | ! endif |
---|
700 | ! endif |
---|
701 | ! 520 continue |
---|
702 | ! 530 continue |
---|
703 | ! do 540 i=1,ncum |
---|
704 | ! inb(i)=max(inb(i),inb1(i)) |
---|
705 | ! cape(i)=capem(i)+byp(i) |
---|
706 | ! defrac=capem(i)-cape(i) |
---|
707 | ! defrac=max(defrac,0.001) |
---|
708 | ! frac(i)=-cape(i)/defrac |
---|
709 | ! frac(i)=min(frac(i),1.0) |
---|
710 | ! frac(i)=max(frac(i),0.0) |
---|
711 | ! 540 continue |
---|
712 | |
---|
713 | ! J Teixeira fix |
---|
714 | |
---|
715 | CALL zilch(byp, ncum) |
---|
716 | DO i = 1, ncum |
---|
717 | lcape(i) = .TRUE. |
---|
718 | END DO |
---|
719 | DO k = minorig + 1, nl - 1 |
---|
720 | DO i = 1, ncum |
---|
721 | IF (cape(i)<0.0) lcape(i) = .FALSE. |
---|
722 | IF ((k>=(icb(i)+1)) .AND. lcape(i)) THEN |
---|
723 | by = (tvp(i,k)-tv(i,k))*dph(i, k)/p(i, k) |
---|
724 | byp(i) = (tvp(i,k+1)-tv(i,k+1))*dph(i, k+1)/p(i, k+1) |
---|
725 | cape(i) = cape(i) + by |
---|
726 | IF (by>=0.0) inb1(i) = k + 1 |
---|
727 | IF (cape(i)>0.0) THEN |
---|
728 | inb(i) = k + 1 |
---|
729 | capem(i) = cape(i) |
---|
730 | END IF |
---|
731 | END IF |
---|
732 | END DO |
---|
733 | END DO |
---|
734 | DO i = 1, ncum |
---|
735 | cape(i) = capem(i) + byp(i) |
---|
736 | defrac = capem(i) - cape(i) |
---|
737 | defrac = max(defrac, 0.001) |
---|
738 | frac(i) = -cape(i)/defrac |
---|
739 | frac(i) = min(frac(i), 1.0) |
---|
740 | frac(i) = max(frac(i), 0.0) |
---|
741 | END DO |
---|
742 | |
---|
743 | ! ===================================================================== |
---|
744 | ! --- CALCULATE LIQUID WATER STATIC ENERGY OF LIFTED PARCEL |
---|
745 | ! ===================================================================== |
---|
746 | |
---|
747 | ! initialization: |
---|
748 | DO i = 1, ncum*nlp |
---|
749 | hp(i, 1) = h(i, 1) |
---|
750 | END DO |
---|
751 | |
---|
752 | DO k = minorig + 1, nl |
---|
753 | DO i = 1, ncum |
---|
754 | IF ((k>=icb(i)) .AND. (k<=inb(i))) THEN |
---|
755 | hp(i, k) = h(i, nk(i)) + (lv(i,k)+(cpd-cpv)*t(i,k))*ep(i, k)*clw(i, k & |
---|
756 | ) |
---|
757 | END IF |
---|
758 | END DO |
---|
759 | END DO |
---|
760 | |
---|
761 | RETURN |
---|
762 | END SUBROUTINE cv_undilute2 |
---|
763 | |
---|
764 | SUBROUTINE cv_closure(nloc, ncum, nd, nk, icb, tv, tvp, p, ph, dph, plcl, & |
---|
765 | cpn, iflag, cbmf) |
---|
766 | IMPLICIT NONE |
---|
767 | |
---|
768 | ! inputs: |
---|
769 | INTEGER ncum, nd, nloc |
---|
770 | INTEGER nk(nloc), icb(nloc) |
---|
771 | REAL tv(nloc, nd), tvp(nloc, nd), p(nloc, nd), dph(nloc, nd) |
---|
772 | REAL ph(nloc, nd+1) ! caution nd instead ndp1 to be consistent... |
---|
773 | REAL plcl(nloc), cpn(nloc, nd) |
---|
774 | |
---|
775 | ! outputs: |
---|
776 | INTEGER iflag(nloc) |
---|
777 | REAL cbmf(nloc) ! also an input |
---|
778 | |
---|
779 | ! local variables: |
---|
780 | INTEGER i, k, icbmax |
---|
781 | REAL dtpbl(nloc), dtmin(nloc), tvpplcl(nloc), tvaplcl(nloc) |
---|
782 | REAL work(nloc) |
---|
783 | |
---|
784 | include "cvthermo.h" |
---|
785 | include "cvparam.h" |
---|
786 | |
---|
787 | ! ------------------------------------------------------------------- |
---|
788 | ! Compute icbmax. |
---|
789 | ! ------------------------------------------------------------------- |
---|
790 | |
---|
791 | icbmax = 2 |
---|
792 | DO i = 1, ncum |
---|
793 | icbmax = max(icbmax, icb(i)) |
---|
794 | END DO |
---|
795 | |
---|
796 | ! ===================================================================== |
---|
797 | ! --- CALCULATE CLOUD BASE MASS FLUX |
---|
798 | ! ===================================================================== |
---|
799 | |
---|
800 | ! tvpplcl = parcel temperature lifted adiabatically from level |
---|
801 | ! icb-1 to the LCL. |
---|
802 | ! tvaplcl = virtual temperature at the LCL. |
---|
803 | |
---|
804 | DO i = 1, ncum |
---|
805 | dtpbl(i) = 0.0 |
---|
806 | tvpplcl(i) = tvp(i, icb(i)-1) - rrd*tvp(i, icb(i)-1)*(p(i,icb(i)-1)-plcl( & |
---|
807 | i))/(cpn(i,icb(i)-1)*p(i,icb(i)-1)) |
---|
808 | tvaplcl(i) = tv(i, icb(i)) + (tvp(i,icb(i))-tvp(i,icb(i)+1))*(plcl(i)-p(i & |
---|
809 | ,icb(i)))/(p(i,icb(i))-p(i,icb(i)+1)) |
---|
810 | END DO |
---|
811 | |
---|
812 | ! ------------------------------------------------------------------- |
---|
813 | ! --- Interpolate difference between lifted parcel and |
---|
814 | ! --- environmental temperatures to lifted condensation level |
---|
815 | ! ------------------------------------------------------------------- |
---|
816 | |
---|
817 | ! dtpbl = average of tvp-tv in the PBL (k=nk to icb-1). |
---|
818 | |
---|
819 | DO k = minorig, icbmax |
---|
820 | DO i = 1, ncum |
---|
821 | IF ((k>=nk(i)) .AND. (k<=(icb(i)-1))) THEN |
---|
822 | dtpbl(i) = dtpbl(i) + (tvp(i,k)-tv(i,k))*dph(i, k) |
---|
823 | END IF |
---|
824 | END DO |
---|
825 | END DO |
---|
826 | DO i = 1, ncum |
---|
827 | dtpbl(i) = dtpbl(i)/(ph(i,nk(i))-ph(i,icb(i))) |
---|
828 | dtmin(i) = tvpplcl(i) - tvaplcl(i) + dtmax + dtpbl(i) |
---|
829 | END DO |
---|
830 | |
---|
831 | ! ------------------------------------------------------------------- |
---|
832 | ! --- Adjust cloud base mass flux |
---|
833 | ! ------------------------------------------------------------------- |
---|
834 | |
---|
835 | DO i = 1, ncum |
---|
836 | work(i) = cbmf(i) |
---|
837 | cbmf(i) = max(0.0, (1.0-damp)*cbmf(i)+0.1*alpha*dtmin(i)) |
---|
838 | IF ((work(i)==0.0) .AND. (cbmf(i)==0.0)) THEN |
---|
839 | iflag(i) = 3 |
---|
840 | END IF |
---|
841 | END DO |
---|
842 | |
---|
843 | RETURN |
---|
844 | END SUBROUTINE cv_closure |
---|
845 | |
---|
846 | SUBROUTINE cv_mixing(nloc, ncum, nd, icb, nk, inb, inb1, ph, t, q, qs, u, v, & |
---|
847 | h, lv, qnk, hp, tv, tvp, ep, clw, cbmf, m, ment, qent, uent, vent, nent, & |
---|
848 | sij, elij) |
---|
849 | IMPLICIT NONE |
---|
850 | |
---|
851 | include "cvthermo.h" |
---|
852 | include "cvparam.h" |
---|
853 | |
---|
854 | ! inputs: |
---|
855 | INTEGER ncum, nd, nloc |
---|
856 | INTEGER icb(nloc), inb(nloc), inb1(nloc), nk(nloc) |
---|
857 | REAL cbmf(nloc), qnk(nloc) |
---|
858 | REAL ph(nloc, nd+1) |
---|
859 | REAL t(nloc, nd), q(nloc, nd), qs(nloc, nd), lv(nloc, nd) |
---|
860 | REAL u(nloc, nd), v(nloc, nd), h(nloc, nd), hp(nloc, nd) |
---|
861 | REAL tv(nloc, nd), tvp(nloc, nd), ep(nloc, nd), clw(nloc, nd) |
---|
862 | |
---|
863 | ! outputs: |
---|
864 | INTEGER nent(nloc, nd) |
---|
865 | REAL m(nloc, nd), ment(nloc, nd, nd), qent(nloc, nd, nd) |
---|
866 | REAL uent(nloc, nd, nd), vent(nloc, nd, nd) |
---|
867 | REAL sij(nloc, nd, nd), elij(nloc, nd, nd) |
---|
868 | |
---|
869 | ! local variables: |
---|
870 | INTEGER i, j, k, ij |
---|
871 | INTEGER num1, num2 |
---|
872 | REAL dbo, qti, bf2, anum, denom, dei, altem, cwat, stemp |
---|
873 | REAL alt, qp1, smid, sjmin, sjmax, delp, delm |
---|
874 | REAL work(nloc), asij(nloc), smin(nloc), scrit(nloc) |
---|
875 | REAL bsum(nloc, nd) |
---|
876 | LOGICAL lwork(nloc) |
---|
877 | |
---|
878 | ! ===================================================================== |
---|
879 | ! --- INITIALIZE VARIOUS ARRAYS USED IN THE COMPUTATIONS |
---|
880 | ! ===================================================================== |
---|
881 | |
---|
882 | DO i = 1, ncum*nlp |
---|
883 | nent(i, 1) = 0 |
---|
884 | m(i, 1) = 0.0 |
---|
885 | END DO |
---|
886 | |
---|
887 | DO k = 1, nlp |
---|
888 | DO j = 1, nlp |
---|
889 | DO i = 1, ncum |
---|
890 | qent(i, k, j) = q(i, j) |
---|
891 | uent(i, k, j) = u(i, j) |
---|
892 | vent(i, k, j) = v(i, j) |
---|
893 | elij(i, k, j) = 0.0 |
---|
894 | ment(i, k, j) = 0.0 |
---|
895 | sij(i, k, j) = 0.0 |
---|
896 | END DO |
---|
897 | END DO |
---|
898 | END DO |
---|
899 | |
---|
900 | ! ------------------------------------------------------------------- |
---|
901 | ! --- Calculate rates of mixing, m(i) |
---|
902 | ! ------------------------------------------------------------------- |
---|
903 | |
---|
904 | CALL zilch(work, ncum) |
---|
905 | |
---|
906 | DO j = minorig + 1, nl |
---|
907 | DO i = 1, ncum |
---|
908 | IF ((j>=(icb(i)+1)) .AND. (j<=inb(i))) THEN |
---|
909 | k = min(j, inb1(i)) |
---|
910 | dbo = abs(tv(i,k+1)-tvp(i,k+1)-tv(i,k-1)+tvp(i,k-1)) + & |
---|
911 | entp*0.04*(ph(i,k)-ph(i,k+1)) |
---|
912 | work(i) = work(i) + dbo |
---|
913 | m(i, j) = cbmf(i)*dbo |
---|
914 | END IF |
---|
915 | END DO |
---|
916 | END DO |
---|
917 | DO k = minorig + 1, nl |
---|
918 | DO i = 1, ncum |
---|
919 | IF ((k>=(icb(i)+1)) .AND. (k<=inb(i))) THEN |
---|
920 | m(i, k) = m(i, k)/work(i) |
---|
921 | END IF |
---|
922 | END DO |
---|
923 | END DO |
---|
924 | |
---|
925 | |
---|
926 | ! ===================================================================== |
---|
927 | ! --- CALCULATE ENTRAINED AIR MASS FLUX (ment), TOTAL WATER MIXING |
---|
928 | ! --- RATIO (QENT), TOTAL CONDENSED WATER (elij), AND MIXING |
---|
929 | ! --- FRACTION (sij) |
---|
930 | ! ===================================================================== |
---|
931 | |
---|
932 | |
---|
933 | DO i = minorig + 1, nl |
---|
934 | DO j = minorig + 1, nl |
---|
935 | DO ij = 1, ncum |
---|
936 | IF ((i>=(icb(ij)+1)) .AND. (j>=icb(ij)) .AND. (i<=inb(ij)) .AND. (j<= & |
---|
937 | inb(ij))) THEN |
---|
938 | qti = qnk(ij) - ep(ij, i)*clw(ij, i) |
---|
939 | bf2 = 1. + lv(ij, j)*lv(ij, j)*qs(ij, j)/(rrv*t(ij,j)*t(ij,j)*cpd) |
---|
940 | anum = h(ij, j) - hp(ij, i) + (cpv-cpd)*t(ij, j)*(qti-q(ij,j)) |
---|
941 | denom = h(ij, i) - hp(ij, i) + (cpd-cpv)*(q(ij,i)-qti)*t(ij, j) |
---|
942 | dei = denom |
---|
943 | IF (abs(dei)<0.01) dei = 0.01 |
---|
944 | sij(ij, i, j) = anum/dei |
---|
945 | sij(ij, i, i) = 1.0 |
---|
946 | altem = sij(ij, i, j)*q(ij, i) + (1.-sij(ij,i,j))*qti - qs(ij, j) |
---|
947 | altem = altem/bf2 |
---|
948 | cwat = clw(ij, j)*(1.-ep(ij,j)) |
---|
949 | stemp = sij(ij, i, j) |
---|
950 | IF ((stemp<0.0 .OR. stemp>1.0 .OR. altem>cwat) .AND. j>i) THEN |
---|
951 | anum = anum - lv(ij, j)*(qti-qs(ij,j)-cwat*bf2) |
---|
952 | denom = denom + lv(ij, j)*(q(ij,i)-qti) |
---|
953 | IF (abs(denom)<0.01) denom = 0.01 |
---|
954 | sij(ij, i, j) = anum/denom |
---|
955 | altem = sij(ij, i, j)*q(ij, i) + (1.-sij(ij,i,j))*qti - qs(ij, j) |
---|
956 | altem = altem - (bf2-1.)*cwat |
---|
957 | END IF |
---|
958 | IF (sij(ij,i,j)>0.0 .AND. sij(ij,i,j)<0.9) THEN |
---|
959 | qent(ij, i, j) = sij(ij, i, j)*q(ij, i) + (1.-sij(ij,i,j))*qti |
---|
960 | uent(ij, i, j) = sij(ij, i, j)*u(ij, i) + & |
---|
961 | (1.-sij(ij,i,j))*u(ij, nk(ij)) |
---|
962 | vent(ij, i, j) = sij(ij, i, j)*v(ij, i) + & |
---|
963 | (1.-sij(ij,i,j))*v(ij, nk(ij)) |
---|
964 | elij(ij, i, j) = altem |
---|
965 | elij(ij, i, j) = max(0.0, elij(ij,i,j)) |
---|
966 | ment(ij, i, j) = m(ij, i)/(1.-sij(ij,i,j)) |
---|
967 | nent(ij, i) = nent(ij, i) + 1 |
---|
968 | END IF |
---|
969 | sij(ij, i, j) = max(0.0, sij(ij,i,j)) |
---|
970 | sij(ij, i, j) = min(1.0, sij(ij,i,j)) |
---|
971 | END IF |
---|
972 | END DO |
---|
973 | END DO |
---|
974 | |
---|
975 | ! *** If no air can entrain at level i assume that updraft detrains |
---|
976 | ! *** |
---|
977 | ! *** at that level and calculate detrained air flux and properties |
---|
978 | ! *** |
---|
979 | |
---|
980 | DO ij = 1, ncum |
---|
981 | IF ((i>=(icb(ij)+1)) .AND. (i<=inb(ij)) .AND. (nent(ij,i)==0)) THEN |
---|
982 | ment(ij, i, i) = m(ij, i) |
---|
983 | qent(ij, i, i) = q(ij, nk(ij)) - ep(ij, i)*clw(ij, i) |
---|
984 | uent(ij, i, i) = u(ij, nk(ij)) |
---|
985 | vent(ij, i, i) = v(ij, nk(ij)) |
---|
986 | elij(ij, i, i) = clw(ij, i) |
---|
987 | sij(ij, i, i) = 1.0 |
---|
988 | END IF |
---|
989 | END DO |
---|
990 | END DO |
---|
991 | |
---|
992 | DO i = 1, ncum |
---|
993 | sij(i, inb(i), inb(i)) = 1.0 |
---|
994 | END DO |
---|
995 | |
---|
996 | ! ===================================================================== |
---|
997 | ! --- NORMALIZE ENTRAINED AIR MASS FLUXES |
---|
998 | ! --- TO REPRESENT EQUAL PROBABILITIES OF MIXING |
---|
999 | ! ===================================================================== |
---|
1000 | |
---|
1001 | CALL zilch(bsum, ncum*nlp) |
---|
1002 | DO ij = 1, ncum |
---|
1003 | lwork(ij) = .FALSE. |
---|
1004 | END DO |
---|
1005 | DO i = minorig + 1, nl |
---|
1006 | |
---|
1007 | num1 = 0 |
---|
1008 | DO ij = 1, ncum |
---|
1009 | IF ((i>=icb(ij)+1) .AND. (i<=inb(ij))) num1 = num1 + 1 |
---|
1010 | END DO |
---|
1011 | IF (num1<=0) GO TO 789 |
---|
1012 | |
---|
1013 | DO ij = 1, ncum |
---|
1014 | IF ((i>=icb(ij)+1) .AND. (i<=inb(ij))) THEN |
---|
1015 | lwork(ij) = (nent(ij,i)/=0) |
---|
1016 | qp1 = q(ij, nk(ij)) - ep(ij, i)*clw(ij, i) |
---|
1017 | anum = h(ij, i) - hp(ij, i) - lv(ij, i)*(qp1-qs(ij,i)) |
---|
1018 | denom = h(ij, i) - hp(ij, i) + lv(ij, i)*(q(ij,i)-qp1) |
---|
1019 | IF (abs(denom)<0.01) denom = 0.01 |
---|
1020 | scrit(ij) = anum/denom |
---|
1021 | alt = qp1 - qs(ij, i) + scrit(ij)*(q(ij,i)-qp1) |
---|
1022 | IF (scrit(ij)<0.0 .OR. alt<0.0) scrit(ij) = 1.0 |
---|
1023 | asij(ij) = 0.0 |
---|
1024 | smin(ij) = 1.0 |
---|
1025 | END IF |
---|
1026 | END DO |
---|
1027 | DO j = minorig, nl |
---|
1028 | |
---|
1029 | num2 = 0 |
---|
1030 | DO ij = 1, ncum |
---|
1031 | IF ((i>=icb(ij)+1) .AND. (i<=inb(ij)) .AND. (j>=icb( & |
---|
1032 | ij)) .AND. (j<=inb(ij)) .AND. lwork(ij)) num2 = num2 + 1 |
---|
1033 | END DO |
---|
1034 | IF (num2<=0) GO TO 783 |
---|
1035 | |
---|
1036 | DO ij = 1, ncum |
---|
1037 | IF ((i>=icb(ij)+1) .AND. (i<=inb(ij)) .AND. (j>=icb( & |
---|
1038 | ij)) .AND. (j<=inb(ij)) .AND. lwork(ij)) THEN |
---|
1039 | IF (sij(ij,i,j)>0.0 .AND. sij(ij,i,j)<0.9) THEN |
---|
1040 | IF (j>i) THEN |
---|
1041 | smid = min(sij(ij,i,j), scrit(ij)) |
---|
1042 | sjmax = smid |
---|
1043 | sjmin = smid |
---|
1044 | IF (smid<smin(ij) .AND. sij(ij,i,j+1)<smid) THEN |
---|
1045 | smin(ij) = smid |
---|
1046 | sjmax = min(sij(ij,i,j+1), sij(ij,i,j), scrit(ij)) |
---|
1047 | sjmin = max(sij(ij,i,j-1), sij(ij,i,j)) |
---|
1048 | sjmin = min(sjmin, scrit(ij)) |
---|
1049 | END IF |
---|
1050 | ELSE |
---|
1051 | sjmax = max(sij(ij,i,j+1), scrit(ij)) |
---|
1052 | smid = max(sij(ij,i,j), scrit(ij)) |
---|
1053 | sjmin = 0.0 |
---|
1054 | IF (j>1) sjmin = sij(ij, i, j-1) |
---|
1055 | sjmin = max(sjmin, scrit(ij)) |
---|
1056 | END IF |
---|
1057 | delp = abs(sjmax-smid) |
---|
1058 | delm = abs(sjmin-smid) |
---|
1059 | asij(ij) = asij(ij) + (delp+delm)*(ph(ij,j)-ph(ij,j+1)) |
---|
1060 | ment(ij, i, j) = ment(ij, i, j)*(delp+delm)*(ph(ij,j)-ph(ij,j+1)) |
---|
1061 | END IF |
---|
1062 | END IF |
---|
1063 | END DO |
---|
1064 | 783 END DO |
---|
1065 | DO ij = 1, ncum |
---|
1066 | IF ((i>=icb(ij)+1) .AND. (i<=inb(ij)) .AND. lwork(ij)) THEN |
---|
1067 | asij(ij) = max(1.0E-21, asij(ij)) |
---|
1068 | asij(ij) = 1.0/asij(ij) |
---|
1069 | bsum(ij, i) = 0.0 |
---|
1070 | END IF |
---|
1071 | END DO |
---|
1072 | DO j = minorig, nl + 1 |
---|
1073 | DO ij = 1, ncum |
---|
1074 | IF ((i>=icb(ij)+1) .AND. (i<=inb(ij)) .AND. (j>=icb( & |
---|
1075 | ij)) .AND. (j<=inb(ij)) .AND. lwork(ij)) THEN |
---|
1076 | ment(ij, i, j) = ment(ij, i, j)*asij(ij) |
---|
1077 | bsum(ij, i) = bsum(ij, i) + ment(ij, i, j) |
---|
1078 | END IF |
---|
1079 | END DO |
---|
1080 | END DO |
---|
1081 | DO ij = 1, ncum |
---|
1082 | IF ((i>=icb(ij)+1) .AND. (i<=inb(ij)) .AND. (bsum(ij, & |
---|
1083 | i)<1.0E-18) .AND. lwork(ij)) THEN |
---|
1084 | nent(ij, i) = 0 |
---|
1085 | ment(ij, i, i) = m(ij, i) |
---|
1086 | qent(ij, i, i) = q(ij, nk(ij)) - ep(ij, i)*clw(ij, i) |
---|
1087 | uent(ij, i, i) = u(ij, nk(ij)) |
---|
1088 | vent(ij, i, i) = v(ij, nk(ij)) |
---|
1089 | elij(ij, i, i) = clw(ij, i) |
---|
1090 | sij(ij, i, i) = 1.0 |
---|
1091 | END IF |
---|
1092 | END DO |
---|
1093 | 789 END DO |
---|
1094 | |
---|
1095 | RETURN |
---|
1096 | END SUBROUTINE cv_mixing |
---|
1097 | |
---|
1098 | SUBROUTINE cv_unsat(nloc, ncum, nd, inb, t, q, qs, gz, u, v, p, ph, h, lv, & |
---|
1099 | ep, sigp, clw, m, ment, elij, iflag, mp, qp, up, vp, wt, water, evap) |
---|
1100 | IMPLICIT NONE |
---|
1101 | |
---|
1102 | |
---|
1103 | include "cvthermo.h" |
---|
1104 | include "cvparam.h" |
---|
1105 | |
---|
1106 | ! inputs: |
---|
1107 | INTEGER ncum, nd, nloc |
---|
1108 | INTEGER inb(nloc) |
---|
1109 | REAL t(nloc, nd), q(nloc, nd), qs(nloc, nd) |
---|
1110 | REAL gz(nloc, nd), u(nloc, nd), v(nloc, nd) |
---|
1111 | REAL p(nloc, nd), ph(nloc, nd+1), h(nloc, nd) |
---|
1112 | REAL lv(nloc, nd), ep(nloc, nd), sigp(nloc, nd), clw(nloc, nd) |
---|
1113 | REAL m(nloc, nd), ment(nloc, nd, nd), elij(nloc, nd, nd) |
---|
1114 | |
---|
1115 | ! outputs: |
---|
1116 | INTEGER iflag(nloc) ! also an input |
---|
1117 | REAL mp(nloc, nd), qp(nloc, nd), up(nloc, nd), vp(nloc, nd) |
---|
1118 | REAL water(nloc, nd), evap(nloc, nd), wt(nloc, nd) |
---|
1119 | |
---|
1120 | ! local variables: |
---|
1121 | INTEGER i, j, k, ij, num1 |
---|
1122 | INTEGER jtt(nloc) |
---|
1123 | REAL awat, coeff, qsm, afac, sigt, b6, c6, revap |
---|
1124 | REAL dhdp, fac, qstm, rat |
---|
1125 | REAL wdtrain(nloc) |
---|
1126 | LOGICAL lwork(nloc) |
---|
1127 | |
---|
1128 | ! ===================================================================== |
---|
1129 | ! --- PRECIPITATING DOWNDRAFT CALCULATION |
---|
1130 | ! ===================================================================== |
---|
1131 | |
---|
1132 | ! Initializations: |
---|
1133 | |
---|
1134 | DO i = 1, ncum |
---|
1135 | DO k = 1, nl + 1 |
---|
1136 | wt(i, k) = omtsnow |
---|
1137 | mp(i, k) = 0.0 |
---|
1138 | evap(i, k) = 0.0 |
---|
1139 | water(i, k) = 0.0 |
---|
1140 | END DO |
---|
1141 | END DO |
---|
1142 | |
---|
1143 | DO i = 1, ncum |
---|
1144 | qp(i, 1) = q(i, 1) |
---|
1145 | up(i, 1) = u(i, 1) |
---|
1146 | vp(i, 1) = v(i, 1) |
---|
1147 | END DO |
---|
1148 | |
---|
1149 | DO k = 2, nl + 1 |
---|
1150 | DO i = 1, ncum |
---|
1151 | qp(i, k) = q(i, k-1) |
---|
1152 | up(i, k) = u(i, k-1) |
---|
1153 | vp(i, k) = v(i, k-1) |
---|
1154 | END DO |
---|
1155 | END DO |
---|
1156 | |
---|
1157 | |
---|
1158 | ! *** Check whether ep(inb)=0, if so, skip precipitating *** |
---|
1159 | ! *** downdraft calculation *** |
---|
1160 | |
---|
1161 | |
---|
1162 | ! *** Integrate liquid water equation to find condensed water *** |
---|
1163 | ! *** and condensed water flux *** |
---|
1164 | |
---|
1165 | |
---|
1166 | DO i = 1, ncum |
---|
1167 | jtt(i) = 2 |
---|
1168 | IF (ep(i,inb(i))<=0.0001) iflag(i) = 2 |
---|
1169 | IF (iflag(i)==0) THEN |
---|
1170 | lwork(i) = .TRUE. |
---|
1171 | ELSE |
---|
1172 | lwork(i) = .FALSE. |
---|
1173 | END IF |
---|
1174 | END DO |
---|
1175 | |
---|
1176 | ! *** Begin downdraft loop *** |
---|
1177 | |
---|
1178 | |
---|
1179 | CALL zilch(wdtrain, ncum) |
---|
1180 | DO i = nl + 1, 1, -1 |
---|
1181 | |
---|
1182 | num1 = 0 |
---|
1183 | DO ij = 1, ncum |
---|
1184 | IF ((i<=inb(ij)) .AND. lwork(ij)) num1 = num1 + 1 |
---|
1185 | END DO |
---|
1186 | IF (num1<=0) GO TO 899 |
---|
1187 | |
---|
1188 | |
---|
1189 | ! *** Calculate detrained precipitation *** |
---|
1190 | |
---|
1191 | DO ij = 1, ncum |
---|
1192 | IF ((i<=inb(ij)) .AND. (lwork(ij))) THEN |
---|
1193 | wdtrain(ij) = g*ep(ij, i)*m(ij, i)*clw(ij, i) |
---|
1194 | END IF |
---|
1195 | END DO |
---|
1196 | |
---|
1197 | IF (i>1) THEN |
---|
1198 | DO j = 1, i - 1 |
---|
1199 | DO ij = 1, ncum |
---|
1200 | IF ((i<=inb(ij)) .AND. (lwork(ij))) THEN |
---|
1201 | awat = elij(ij, j, i) - (1.-ep(ij,i))*clw(ij, i) |
---|
1202 | awat = max(0.0, awat) |
---|
1203 | wdtrain(ij) = wdtrain(ij) + g*awat*ment(ij, j, i) |
---|
1204 | END IF |
---|
1205 | END DO |
---|
1206 | END DO |
---|
1207 | END IF |
---|
1208 | |
---|
1209 | ! *** Find rain water and evaporation using provisional *** |
---|
1210 | ! *** estimates of qp(i)and qp(i-1) *** |
---|
1211 | |
---|
1212 | |
---|
1213 | ! *** Value of terminal velocity and coeffecient of evaporation for snow |
---|
1214 | ! *** |
---|
1215 | |
---|
1216 | DO ij = 1, ncum |
---|
1217 | IF ((i<=inb(ij)) .AND. (lwork(ij))) THEN |
---|
1218 | coeff = coeffs |
---|
1219 | wt(ij, i) = omtsnow |
---|
1220 | |
---|
1221 | ! *** Value of terminal velocity and coeffecient of evaporation for |
---|
1222 | ! rain *** |
---|
1223 | |
---|
1224 | IF (t(ij,i)>273.0) THEN |
---|
1225 | coeff = coeffr |
---|
1226 | wt(ij, i) = omtrain |
---|
1227 | END IF |
---|
1228 | qsm = 0.5*(q(ij,i)+qp(ij,i+1)) |
---|
1229 | afac = coeff*ph(ij, i)*(qs(ij,i)-qsm)/(1.0E4+2.0E3*ph(ij,i)*qs(ij,i)) |
---|
1230 | afac = max(afac, 0.0) |
---|
1231 | sigt = sigp(ij, i) |
---|
1232 | sigt = max(0.0, sigt) |
---|
1233 | sigt = min(1.0, sigt) |
---|
1234 | b6 = 100.*(ph(ij,i)-ph(ij,i+1))*sigt*afac/wt(ij, i) |
---|
1235 | c6 = (water(ij,i+1)*wt(ij,i+1)+wdtrain(ij)/sigd)/wt(ij, i) |
---|
1236 | revap = 0.5*(-b6+sqrt(b6*b6+4.*c6)) |
---|
1237 | evap(ij, i) = sigt*afac*revap |
---|
1238 | water(ij, i) = revap*revap |
---|
1239 | |
---|
1240 | ! *** Calculate precipitating downdraft mass flux under *** |
---|
1241 | ! *** hydrostatic approximation *** |
---|
1242 | |
---|
1243 | IF (i>1) THEN |
---|
1244 | dhdp = (h(ij,i)-h(ij,i-1))/(p(ij,i-1)-p(ij,i)) |
---|
1245 | dhdp = max(dhdp, 10.0) |
---|
1246 | mp(ij, i) = 100.*ginv*lv(ij, i)*sigd*evap(ij, i)/dhdp |
---|
1247 | mp(ij, i) = max(mp(ij,i), 0.0) |
---|
1248 | |
---|
1249 | ! *** Add small amount of inertia to downdraft *** |
---|
1250 | |
---|
1251 | fac = 20.0/(ph(ij,i-1)-ph(ij,i)) |
---|
1252 | mp(ij, i) = (fac*mp(ij,i+1)+mp(ij,i))/(1.+fac) |
---|
1253 | |
---|
1254 | ! *** Force mp to decrease linearly to zero |
---|
1255 | ! *** |
---|
1256 | ! *** between about 950 mb and the surface |
---|
1257 | ! *** |
---|
1258 | |
---|
1259 | IF (p(ij,i)>(0.949*p(ij,1))) THEN |
---|
1260 | jtt(ij) = max(jtt(ij), i) |
---|
1261 | mp(ij, i) = mp(ij, jtt(ij))*(p(ij,1)-p(ij,i))/ & |
---|
1262 | (p(ij,1)-p(ij,jtt(ij))) |
---|
1263 | END IF |
---|
1264 | END IF |
---|
1265 | |
---|
1266 | ! *** Find mixing ratio of precipitating downdraft *** |
---|
1267 | |
---|
1268 | IF (i/=inb(ij)) THEN |
---|
1269 | IF (i==1) THEN |
---|
1270 | qstm = qs(ij, 1) |
---|
1271 | ELSE |
---|
1272 | qstm = qs(ij, i-1) |
---|
1273 | END IF |
---|
1274 | IF (mp(ij,i)>mp(ij,i+1)) THEN |
---|
1275 | rat = mp(ij, i+1)/mp(ij, i) |
---|
1276 | qp(ij, i) = qp(ij, i+1)*rat + q(ij, i)*(1.0-rat) + & |
---|
1277 | 100.*ginv*sigd*(ph(ij,i)-ph(ij,i+1))*(evap(ij,i)/mp(ij,i)) |
---|
1278 | up(ij, i) = up(ij, i+1)*rat + u(ij, i)*(1.-rat) |
---|
1279 | vp(ij, i) = vp(ij, i+1)*rat + v(ij, i)*(1.-rat) |
---|
1280 | ELSE |
---|
1281 | IF (mp(ij,i+1)>0.0) THEN |
---|
1282 | qp(ij, i) = (gz(ij,i+1)-gz(ij,i)+qp(ij,i+1)*(lv(ij,i+1)+t(ij, & |
---|
1283 | i+1)*(cl-cpd))+cpd*(t(ij,i+1)-t(ij, & |
---|
1284 | i)))/(lv(ij,i)+t(ij,i)*(cl-cpd)) |
---|
1285 | up(ij, i) = up(ij, i+1) |
---|
1286 | vp(ij, i) = vp(ij, i+1) |
---|
1287 | END IF |
---|
1288 | END IF |
---|
1289 | qp(ij, i) = min(qp(ij,i), qstm) |
---|
1290 | qp(ij, i) = max(qp(ij,i), 0.0) |
---|
1291 | END IF |
---|
1292 | END IF |
---|
1293 | END DO |
---|
1294 | 899 END DO |
---|
1295 | |
---|
1296 | RETURN |
---|
1297 | END SUBROUTINE cv_unsat |
---|
1298 | |
---|
1299 | SUBROUTINE cv_yield(nloc, ncum, nd, nk, icb, inb, delt, t, q, u, v, gz, p, & |
---|
1300 | ph, h, hp, lv, cpn, ep, clw, frac, m, mp, qp, up, vp, wt, water, evap, & |
---|
1301 | ment, qent, uent, vent, nent, elij, tv, tvp, iflag, wd, qprime, tprime, & |
---|
1302 | precip, cbmf, ft, fq, fu, fv, ma, qcondc) |
---|
1303 | IMPLICIT NONE |
---|
1304 | |
---|
1305 | include "cvthermo.h" |
---|
1306 | include "cvparam.h" |
---|
1307 | |
---|
1308 | ! inputs |
---|
1309 | INTEGER ncum, nd, nloc |
---|
1310 | INTEGER nk(nloc), icb(nloc), inb(nloc) |
---|
1311 | INTEGER nent(nloc, nd) |
---|
1312 | REAL delt |
---|
1313 | REAL t(nloc, nd), q(nloc, nd), u(nloc, nd), v(nloc, nd) |
---|
1314 | REAL gz(nloc, nd) |
---|
1315 | REAL p(nloc, nd), ph(nloc, nd+1), h(nloc, nd) |
---|
1316 | REAL hp(nloc, nd), lv(nloc, nd) |
---|
1317 | REAL cpn(nloc, nd), ep(nloc, nd), clw(nloc, nd), frac(nloc) |
---|
1318 | REAL m(nloc, nd), mp(nloc, nd), qp(nloc, nd) |
---|
1319 | REAL up(nloc, nd), vp(nloc, nd) |
---|
1320 | REAL wt(nloc, nd), water(nloc, nd), evap(nloc, nd) |
---|
1321 | REAL ment(nloc, nd, nd), qent(nloc, nd, nd), elij(nloc, nd, nd) |
---|
1322 | REAL uent(nloc, nd, nd), vent(nloc, nd, nd) |
---|
1323 | REAL tv(nloc, nd), tvp(nloc, nd) |
---|
1324 | |
---|
1325 | ! outputs |
---|
1326 | INTEGER iflag(nloc) ! also an input |
---|
1327 | REAL cbmf(nloc) ! also an input |
---|
1328 | REAL wd(nloc), tprime(nloc), qprime(nloc) |
---|
1329 | REAL precip(nloc) |
---|
1330 | REAL ft(nloc, nd), fq(nloc, nd), fu(nloc, nd), fv(nloc, nd) |
---|
1331 | REAL ma(nloc, nd) |
---|
1332 | REAL qcondc(nloc, nd) |
---|
1333 | |
---|
1334 | ! local variables |
---|
1335 | INTEGER i, j, ij, k, num1 |
---|
1336 | REAL dpinv, cpinv, awat, fqold, ftold, fuold, fvold, delti |
---|
1337 | REAL work(nloc), am(nloc), amp1(nloc), ad(nloc) |
---|
1338 | REAL ents(nloc), uav(nloc), vav(nloc), lvcp(nloc, nd) |
---|
1339 | REAL qcond(nloc, nd), nqcond(nloc, nd), wa(nloc, nd) ! cld |
---|
1340 | REAL siga(nloc, nd), ax(nloc, nd), mac(nloc, nd) ! cld |
---|
1341 | |
---|
1342 | |
---|
1343 | ! -- initializations: |
---|
1344 | |
---|
1345 | delti = 1.0/delt |
---|
1346 | |
---|
1347 | DO i = 1, ncum |
---|
1348 | precip(i) = 0.0 |
---|
1349 | wd(i) = 0.0 |
---|
1350 | tprime(i) = 0.0 |
---|
1351 | qprime(i) = 0.0 |
---|
1352 | DO k = 1, nl + 1 |
---|
1353 | ft(i, k) = 0.0 |
---|
1354 | fu(i, k) = 0.0 |
---|
1355 | fv(i, k) = 0.0 |
---|
1356 | fq(i, k) = 0.0 |
---|
1357 | lvcp(i, k) = lv(i, k)/cpn(i, k) |
---|
1358 | qcondc(i, k) = 0.0 ! cld |
---|
1359 | qcond(i, k) = 0.0 ! cld |
---|
1360 | nqcond(i, k) = 0.0 ! cld |
---|
1361 | END DO |
---|
1362 | END DO |
---|
1363 | |
---|
1364 | |
---|
1365 | ! *** Calculate surface precipitation in mm/day *** |
---|
1366 | |
---|
1367 | DO i = 1, ncum |
---|
1368 | IF (iflag(i)<=1) THEN |
---|
1369 | ! c precip(i)=precip(i)+wt(i,1)*sigd*water(i,1)*3600.*24000. |
---|
1370 | ! c & /(rowl*g) |
---|
1371 | ! c precip(i)=precip(i)*delt/86400. |
---|
1372 | precip(i) = wt(i, 1)*sigd*water(i, 1)*86400/g |
---|
1373 | END IF |
---|
1374 | END DO |
---|
1375 | |
---|
1376 | |
---|
1377 | ! *** Calculate downdraft velocity scale and surface temperature and *** |
---|
1378 | ! *** water vapor fluctuations *** |
---|
1379 | |
---|
1380 | DO i = 1, ncum |
---|
1381 | wd(i) = betad*abs(mp(i,icb(i)))*0.01*rrd*t(i, icb(i))/(sigd*p(i,icb(i))) |
---|
1382 | qprime(i) = 0.5*(qp(i,1)-q(i,1)) |
---|
1383 | tprime(i) = lv0*qprime(i)/cpd |
---|
1384 | END DO |
---|
1385 | |
---|
1386 | ! *** Calculate tendencies of lowest level potential temperature *** |
---|
1387 | ! *** and mixing ratio *** |
---|
1388 | |
---|
1389 | DO i = 1, ncum |
---|
1390 | work(i) = 0.01/(ph(i,1)-ph(i,2)) |
---|
1391 | am(i) = 0.0 |
---|
1392 | END DO |
---|
1393 | DO k = 2, nl |
---|
1394 | DO i = 1, ncum |
---|
1395 | IF ((nk(i)==1) .AND. (k<=inb(i)) .AND. (nk(i)==1)) THEN |
---|
1396 | am(i) = am(i) + m(i, k) |
---|
1397 | END IF |
---|
1398 | END DO |
---|
1399 | END DO |
---|
1400 | DO i = 1, ncum |
---|
1401 | IF ((g*work(i)*am(i))>=delti) iflag(i) = 1 |
---|
1402 | ft(i, 1) = ft(i, 1) + g*work(i)*am(i)*(t(i,2)-t(i,1)+(gz(i,2)-gz(i, & |
---|
1403 | 1))/cpn(i,1)) |
---|
1404 | ft(i, 1) = ft(i, 1) - lvcp(i, 1)*sigd*evap(i, 1) |
---|
1405 | ft(i, 1) = ft(i, 1) + sigd*wt(i, 2)*(cl-cpd)*water(i, 2)*(t(i,2)-t(i,1))* & |
---|
1406 | work(i)/cpn(i, 1) |
---|
1407 | fq(i, 1) = fq(i, 1) + g*mp(i, 2)*(qp(i,2)-q(i,1))*work(i) + & |
---|
1408 | sigd*evap(i, 1) |
---|
1409 | fq(i, 1) = fq(i, 1) + g*am(i)*(q(i,2)-q(i,1))*work(i) |
---|
1410 | fu(i, 1) = fu(i, 1) + g*work(i)*(mp(i,2)*(up(i,2)-u(i,1))+am(i)*(u(i, & |
---|
1411 | 2)-u(i,1))) |
---|
1412 | fv(i, 1) = fv(i, 1) + g*work(i)*(mp(i,2)*(vp(i,2)-v(i,1))+am(i)*(v(i, & |
---|
1413 | 2)-v(i,1))) |
---|
1414 | END DO |
---|
1415 | DO j = 2, nl |
---|
1416 | DO i = 1, ncum |
---|
1417 | IF (j<=inb(i)) THEN |
---|
1418 | fq(i, 1) = fq(i, 1) + g*work(i)*ment(i, j, 1)*(qent(i,j,1)-q(i,1)) |
---|
1419 | fu(i, 1) = fu(i, 1) + g*work(i)*ment(i, j, 1)*(uent(i,j,1)-u(i,1)) |
---|
1420 | fv(i, 1) = fv(i, 1) + g*work(i)*ment(i, j, 1)*(vent(i,j,1)-v(i,1)) |
---|
1421 | END IF |
---|
1422 | END DO |
---|
1423 | END DO |
---|
1424 | |
---|
1425 | ! *** Calculate tendencies of potential temperature and mixing ratio *** |
---|
1426 | ! *** at levels above the lowest level *** |
---|
1427 | |
---|
1428 | ! *** First find the net saturated updraft and downdraft mass fluxes *** |
---|
1429 | ! *** through each level *** |
---|
1430 | |
---|
1431 | DO i = 2, nl + 1 |
---|
1432 | |
---|
1433 | num1 = 0 |
---|
1434 | DO ij = 1, ncum |
---|
1435 | IF (i<=inb(ij)) num1 = num1 + 1 |
---|
1436 | END DO |
---|
1437 | IF (num1<=0) GO TO 1500 |
---|
1438 | |
---|
1439 | CALL zilch(amp1, ncum) |
---|
1440 | CALL zilch(ad, ncum) |
---|
1441 | |
---|
1442 | DO k = i + 1, nl + 1 |
---|
1443 | DO ij = 1, ncum |
---|
1444 | IF ((i>=nk(ij)) .AND. (i<=inb(ij)) .AND. (k<=(inb(ij)+1))) THEN |
---|
1445 | amp1(ij) = amp1(ij) + m(ij, k) |
---|
1446 | END IF |
---|
1447 | END DO |
---|
1448 | END DO |
---|
1449 | |
---|
1450 | DO k = 1, i |
---|
1451 | DO j = i + 1, nl + 1 |
---|
1452 | DO ij = 1, ncum |
---|
1453 | IF ((j<=(inb(ij)+1)) .AND. (i<=inb(ij))) THEN |
---|
1454 | amp1(ij) = amp1(ij) + ment(ij, k, j) |
---|
1455 | END IF |
---|
1456 | END DO |
---|
1457 | END DO |
---|
1458 | END DO |
---|
1459 | DO k = 1, i - 1 |
---|
1460 | DO j = i, nl + 1 |
---|
1461 | DO ij = 1, ncum |
---|
1462 | IF ((i<=inb(ij)) .AND. (j<=inb(ij))) THEN |
---|
1463 | ad(ij) = ad(ij) + ment(ij, j, k) |
---|
1464 | END IF |
---|
1465 | END DO |
---|
1466 | END DO |
---|
1467 | END DO |
---|
1468 | |
---|
1469 | DO ij = 1, ncum |
---|
1470 | IF (i<=inb(ij)) THEN |
---|
1471 | dpinv = 0.01/(ph(ij,i)-ph(ij,i+1)) |
---|
1472 | cpinv = 1.0/cpn(ij, i) |
---|
1473 | |
---|
1474 | ft(ij, i) = ft(ij, i) + g*dpinv*(amp1(ij)*(t(ij,i+1)-t(ij, & |
---|
1475 | i)+(gz(ij,i+1)-gz(ij,i))*cpinv)-ad(ij)*(t(ij,i)-t(ij, & |
---|
1476 | i-1)+(gz(ij,i)-gz(ij,i-1))*cpinv)) - sigd*lvcp(ij, i)*evap(ij, i) |
---|
1477 | ft(ij, i) = ft(ij, i) + g*dpinv*ment(ij, i, i)*(hp(ij,i)-h(ij,i)+t(ij & |
---|
1478 | ,i)*(cpv-cpd)*(q(ij,i)-qent(ij,i,i)))*cpinv |
---|
1479 | ft(ij, i) = ft(ij, i) + sigd*wt(ij, i+1)*(cl-cpd)*water(ij, i+1)*(t( & |
---|
1480 | ij,i+1)-t(ij,i))*dpinv*cpinv |
---|
1481 | fq(ij, i) = fq(ij, i) + g*dpinv*(amp1(ij)*(q(ij,i+1)-q(ij, & |
---|
1482 | i))-ad(ij)*(q(ij,i)-q(ij,i-1))) |
---|
1483 | fu(ij, i) = fu(ij, i) + g*dpinv*(amp1(ij)*(u(ij,i+1)-u(ij, & |
---|
1484 | i))-ad(ij)*(u(ij,i)-u(ij,i-1))) |
---|
1485 | fv(ij, i) = fv(ij, i) + g*dpinv*(amp1(ij)*(v(ij,i+1)-v(ij, & |
---|
1486 | i))-ad(ij)*(v(ij,i)-v(ij,i-1))) |
---|
1487 | END IF |
---|
1488 | END DO |
---|
1489 | DO k = 1, i - 1 |
---|
1490 | DO ij = 1, ncum |
---|
1491 | IF (i<=inb(ij)) THEN |
---|
1492 | awat = elij(ij, k, i) - (1.-ep(ij,i))*clw(ij, i) |
---|
1493 | awat = max(awat, 0.0) |
---|
1494 | fq(ij, i) = fq(ij, i) + g*dpinv*ment(ij, k, i)*(qent(ij,k,i)-awat-q & |
---|
1495 | (ij,i)) |
---|
1496 | fu(ij, i) = fu(ij, i) + g*dpinv*ment(ij, k, i)*(uent(ij,k,i)-u(ij,i & |
---|
1497 | )) |
---|
1498 | fv(ij, i) = fv(ij, i) + g*dpinv*ment(ij, k, i)*(vent(ij,k,i)-v(ij,i & |
---|
1499 | )) |
---|
1500 | ! (saturated updrafts resulting from mixing) ! cld |
---|
1501 | qcond(ij, i) = qcond(ij, i) + (elij(ij,k,i)-awat) ! cld |
---|
1502 | nqcond(ij, i) = nqcond(ij, i) + 1. ! cld |
---|
1503 | END IF |
---|
1504 | END DO |
---|
1505 | END DO |
---|
1506 | DO k = i, nl + 1 |
---|
1507 | DO ij = 1, ncum |
---|
1508 | IF ((i<=inb(ij)) .AND. (k<=inb(ij))) THEN |
---|
1509 | fq(ij, i) = fq(ij, i) + g*dpinv*ment(ij, k, i)*(qent(ij,k,i)-q(ij,i & |
---|
1510 | )) |
---|
1511 | fu(ij, i) = fu(ij, i) + g*dpinv*ment(ij, k, i)*(uent(ij,k,i)-u(ij,i & |
---|
1512 | )) |
---|
1513 | fv(ij, i) = fv(ij, i) + g*dpinv*ment(ij, k, i)*(vent(ij,k,i)-v(ij,i & |
---|
1514 | )) |
---|
1515 | END IF |
---|
1516 | END DO |
---|
1517 | END DO |
---|
1518 | DO ij = 1, ncum |
---|
1519 | IF (i<=inb(ij)) THEN |
---|
1520 | fq(ij, i) = fq(ij, i) + sigd*evap(ij, i) + g*(mp(ij,i+1)*(qp(ij, & |
---|
1521 | i+1)-q(ij,i))-mp(ij,i)*(qp(ij,i)-q(ij,i-1)))*dpinv |
---|
1522 | fu(ij, i) = fu(ij, i) + g*(mp(ij,i+1)*(up(ij,i+1)-u(ij, & |
---|
1523 | i))-mp(ij,i)*(up(ij,i)-u(ij,i-1)))*dpinv |
---|
1524 | fv(ij, i) = fv(ij, i) + g*(mp(ij,i+1)*(vp(ij,i+1)-v(ij, & |
---|
1525 | i))-mp(ij,i)*(vp(ij,i)-v(ij,i-1)))*dpinv |
---|
1526 | ! (saturated downdrafts resulting from mixing) ! cld |
---|
1527 | DO k = i + 1, inb(ij) ! cld |
---|
1528 | qcond(ij, i) = qcond(ij, i) + elij(ij, k, i) ! cld |
---|
1529 | nqcond(ij, i) = nqcond(ij, i) + 1. ! cld |
---|
1530 | END DO ! cld |
---|
1531 | ! (particular case: no detraining level is found) ! cld |
---|
1532 | IF (nent(ij,i)==0) THEN ! cld |
---|
1533 | qcond(ij, i) = qcond(ij, i) + (1.-ep(ij,i))*clw(ij, i) ! cld |
---|
1534 | nqcond(ij, i) = nqcond(ij, i) + 1. ! cld |
---|
1535 | END IF ! cld |
---|
1536 | IF (nqcond(ij,i)/=0.) THEN ! cld |
---|
1537 | qcond(ij, i) = qcond(ij, i)/nqcond(ij, i) ! cld |
---|
1538 | END IF ! cld |
---|
1539 | END IF |
---|
1540 | END DO |
---|
1541 | 1500 END DO |
---|
1542 | |
---|
1543 | ! *** Adjust tendencies at top of convection layer to reflect *** |
---|
1544 | ! *** actual position of the level zero cape *** |
---|
1545 | |
---|
1546 | DO ij = 1, ncum |
---|
1547 | fqold = fq(ij, inb(ij)) |
---|
1548 | fq(ij, inb(ij)) = fq(ij, inb(ij))*(1.-frac(ij)) |
---|
1549 | fq(ij, inb(ij)-1) = fq(ij, inb(ij)-1) + frac(ij)*fqold*((ph(ij, & |
---|
1550 | inb(ij))-ph(ij,inb(ij)+1))/(ph(ij,inb(ij)-1)-ph(ij, & |
---|
1551 | inb(ij))))*lv(ij, inb(ij))/lv(ij, inb(ij)-1) |
---|
1552 | ftold = ft(ij, inb(ij)) |
---|
1553 | ft(ij, inb(ij)) = ft(ij, inb(ij))*(1.-frac(ij)) |
---|
1554 | ft(ij, inb(ij)-1) = ft(ij, inb(ij)-1) + frac(ij)*ftold*((ph(ij, & |
---|
1555 | inb(ij))-ph(ij,inb(ij)+1))/(ph(ij,inb(ij)-1)-ph(ij, & |
---|
1556 | inb(ij))))*cpn(ij, inb(ij))/cpn(ij, inb(ij)-1) |
---|
1557 | fuold = fu(ij, inb(ij)) |
---|
1558 | fu(ij, inb(ij)) = fu(ij, inb(ij))*(1.-frac(ij)) |
---|
1559 | fu(ij, inb(ij)-1) = fu(ij, inb(ij)-1) + frac(ij)*fuold*((ph(ij, & |
---|
1560 | inb(ij))-ph(ij,inb(ij)+1))/(ph(ij,inb(ij)-1)-ph(ij,inb(ij)))) |
---|
1561 | fvold = fv(ij, inb(ij)) |
---|
1562 | fv(ij, inb(ij)) = fv(ij, inb(ij))*(1.-frac(ij)) |
---|
1563 | fv(ij, inb(ij)-1) = fv(ij, inb(ij)-1) + frac(ij)*fvold*((ph(ij, & |
---|
1564 | inb(ij))-ph(ij,inb(ij)+1))/(ph(ij,inb(ij)-1)-ph(ij,inb(ij)))) |
---|
1565 | END DO |
---|
1566 | |
---|
1567 | ! *** Very slightly adjust tendencies to force exact *** |
---|
1568 | ! *** enthalpy, momentum and tracer conservation *** |
---|
1569 | |
---|
1570 | DO ij = 1, ncum |
---|
1571 | ents(ij) = 0.0 |
---|
1572 | uav(ij) = 0.0 |
---|
1573 | vav(ij) = 0.0 |
---|
1574 | DO i = 1, inb(ij) |
---|
1575 | ents(ij) = ents(ij) + (cpn(ij,i)*ft(ij,i)+lv(ij,i)*fq(ij,i))*(ph(ij,i)- & |
---|
1576 | ph(ij,i+1)) |
---|
1577 | uav(ij) = uav(ij) + fu(ij, i)*(ph(ij,i)-ph(ij,i+1)) |
---|
1578 | vav(ij) = vav(ij) + fv(ij, i)*(ph(ij,i)-ph(ij,i+1)) |
---|
1579 | END DO |
---|
1580 | END DO |
---|
1581 | DO ij = 1, ncum |
---|
1582 | ents(ij) = ents(ij)/(ph(ij,1)-ph(ij,inb(ij)+1)) |
---|
1583 | uav(ij) = uav(ij)/(ph(ij,1)-ph(ij,inb(ij)+1)) |
---|
1584 | vav(ij) = vav(ij)/(ph(ij,1)-ph(ij,inb(ij)+1)) |
---|
1585 | END DO |
---|
1586 | DO ij = 1, ncum |
---|
1587 | DO i = 1, inb(ij) |
---|
1588 | ft(ij, i) = ft(ij, i) - ents(ij)/cpn(ij, i) |
---|
1589 | fu(ij, i) = (1.-cu)*(fu(ij,i)-uav(ij)) |
---|
1590 | fv(ij, i) = (1.-cu)*(fv(ij,i)-vav(ij)) |
---|
1591 | END DO |
---|
1592 | END DO |
---|
1593 | |
---|
1594 | DO k = 1, nl + 1 |
---|
1595 | DO i = 1, ncum |
---|
1596 | IF ((q(i,k)+delt*fq(i,k))<0.0) iflag(i) = 10 |
---|
1597 | END DO |
---|
1598 | END DO |
---|
1599 | |
---|
1600 | |
---|
1601 | DO i = 1, ncum |
---|
1602 | IF (iflag(i)>2) THEN |
---|
1603 | precip(i) = 0.0 |
---|
1604 | cbmf(i) = 0.0 |
---|
1605 | END IF |
---|
1606 | END DO |
---|
1607 | DO k = 1, nl |
---|
1608 | DO i = 1, ncum |
---|
1609 | IF (iflag(i)>2) THEN |
---|
1610 | ft(i, k) = 0.0 |
---|
1611 | fq(i, k) = 0.0 |
---|
1612 | fu(i, k) = 0.0 |
---|
1613 | fv(i, k) = 0.0 |
---|
1614 | qcondc(i, k) = 0.0 ! cld |
---|
1615 | END IF |
---|
1616 | END DO |
---|
1617 | END DO |
---|
1618 | |
---|
1619 | DO k = 1, nl + 1 |
---|
1620 | DO i = 1, ncum |
---|
1621 | ma(i, k) = 0. |
---|
1622 | END DO |
---|
1623 | END DO |
---|
1624 | DO k = nl, 1, -1 |
---|
1625 | DO i = 1, ncum |
---|
1626 | ma(i, k) = ma(i, k+1) + m(i, k) |
---|
1627 | END DO |
---|
1628 | END DO |
---|
1629 | |
---|
1630 | |
---|
1631 | ! *** diagnose the in-cloud mixing ratio *** ! cld |
---|
1632 | ! *** of condensed water *** ! cld |
---|
1633 | ! ! cld |
---|
1634 | DO ij = 1, ncum ! cld |
---|
1635 | DO i = 1, nd ! cld |
---|
1636 | mac(ij, i) = 0.0 ! cld |
---|
1637 | wa(ij, i) = 0.0 ! cld |
---|
1638 | siga(ij, i) = 0.0 ! cld |
---|
1639 | END DO ! cld |
---|
1640 | DO i = nk(ij), inb(ij) ! cld |
---|
1641 | DO k = i + 1, inb(ij) + 1 ! cld |
---|
1642 | mac(ij, i) = mac(ij, i) + m(ij, k) ! cld |
---|
1643 | END DO ! cld |
---|
1644 | END DO ! cld |
---|
1645 | DO i = icb(ij), inb(ij) - 1 ! cld |
---|
1646 | ax(ij, i) = 0. ! cld |
---|
1647 | DO j = icb(ij), i ! cld |
---|
1648 | ax(ij, i) = ax(ij, i) + rrd*(tvp(ij,j)-tv(ij,j)) & ! cld |
---|
1649 | *(ph(ij,j)-ph(ij,j+1))/p(ij, j) ! cld |
---|
1650 | END DO ! cld |
---|
1651 | IF (ax(ij,i)>0.0) THEN ! cld |
---|
1652 | wa(ij, i) = sqrt(2.*ax(ij,i)) ! cld |
---|
1653 | END IF ! cld |
---|
1654 | END DO ! cld |
---|
1655 | DO i = 1, nl ! cld |
---|
1656 | IF (wa(ij,i)>0.0) & ! cld |
---|
1657 | siga(ij, i) = mac(ij, i)/wa(ij, i) & ! cld |
---|
1658 | *rrd*tvp(ij, i)/p(ij, i)/100./delta ! cld |
---|
1659 | siga(ij, i) = min(siga(ij,i), 1.0) ! cld |
---|
1660 | qcondc(ij, i) = siga(ij, i)*clw(ij, i)*(1.-ep(ij,i)) & ! cld |
---|
1661 | +(1.-siga(ij,i))*qcond(ij, i) ! cld |
---|
1662 | END DO ! cld |
---|
1663 | END DO ! cld |
---|
1664 | |
---|
1665 | RETURN |
---|
1666 | END SUBROUTINE cv_yield |
---|
1667 | |
---|
1668 | SUBROUTINE cv_uncompress(nloc, len, ncum, nd, idcum, iflag, precip, cbmf, ft, & |
---|
1669 | fq, fu, fv, ma, qcondc, iflag1, precip1, cbmf1, ft1, fq1, fu1, fv1, ma1, & |
---|
1670 | qcondc1) |
---|
1671 | IMPLICIT NONE |
---|
1672 | |
---|
1673 | include "cvparam.h" |
---|
1674 | |
---|
1675 | ! inputs: |
---|
1676 | INTEGER len, ncum, nd, nloc |
---|
1677 | INTEGER idcum(nloc) |
---|
1678 | INTEGER iflag(nloc) |
---|
1679 | REAL precip(nloc), cbmf(nloc) |
---|
1680 | REAL ft(nloc, nd), fq(nloc, nd), fu(nloc, nd), fv(nloc, nd) |
---|
1681 | REAL ma(nloc, nd) |
---|
1682 | REAL qcondc(nloc, nd) !cld |
---|
1683 | |
---|
1684 | ! outputs: |
---|
1685 | INTEGER iflag1(len) |
---|
1686 | REAL precip1(len), cbmf1(len) |
---|
1687 | REAL ft1(len, nd), fq1(len, nd), fu1(len, nd), fv1(len, nd) |
---|
1688 | REAL ma1(len, nd) |
---|
1689 | REAL qcondc1(len, nd) !cld |
---|
1690 | |
---|
1691 | ! local variables: |
---|
1692 | INTEGER i, k |
---|
1693 | |
---|
1694 | DO i = 1, ncum |
---|
1695 | precip1(idcum(i)) = precip(i) |
---|
1696 | cbmf1(idcum(i)) = cbmf(i) |
---|
1697 | iflag1(idcum(i)) = iflag(i) |
---|
1698 | END DO |
---|
1699 | |
---|
1700 | DO k = 1, nl |
---|
1701 | DO i = 1, ncum |
---|
1702 | ft1(idcum(i), k) = ft(i, k) |
---|
1703 | fq1(idcum(i), k) = fq(i, k) |
---|
1704 | fu1(idcum(i), k) = fu(i, k) |
---|
1705 | fv1(idcum(i), k) = fv(i, k) |
---|
1706 | ma1(idcum(i), k) = ma(i, k) |
---|
1707 | qcondc1(idcum(i), k) = qcondc(i, k) |
---|
1708 | END DO |
---|
1709 | END DO |
---|
1710 | |
---|
1711 | RETURN |
---|
1712 | END SUBROUTINE cv_uncompress |
---|
1713 | |
---|