1 | ! |
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2 | ! $Id: cv_routines.F 1403 2010-07-01 09:02:53Z fairhead $ |
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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 | !c------------------------------------------------------------ |
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8 | !c Set parameters for convectL |
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9 | !c (includes microphysical parameters and parameters that |
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10 | !c control the rate of approach to quasi-equilibrium) |
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11 | !c------------------------------------------------------------ |
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12 | |
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13 | !C *** ELCRIT IS THE AUTOCONVERSION THERSHOLD WATER CONTENT (gm/gm) *** |
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14 | !C *** TLCRIT IS CRITICAL TEMPERATURE BELOW WHICH THE AUTO- *** |
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15 | !C *** CONVERSION THRESHOLD IS ASSUMED TO BE ZERO *** |
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16 | !C *** (THE AUTOCONVERSION THRESHOLD VARIES LINEARLY *** |
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17 | !C *** BETWEEN 0 C AND TLCRIT) *** |
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18 | !C *** ENTP IS THE COEFFICIENT OF MIXING IN THE ENTRAINMENT *** |
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19 | !C *** FORMULATION *** |
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20 | !C *** SIGD IS THE FRACTIONAL AREA COVERED BY UNSATURATED DNDRAFT *** |
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21 | !C *** SIGS IS THE FRACTION OF PRECIPITATION FALLING OUTSIDE *** |
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22 | !C *** OF CLOUD *** |
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23 | !C *** OMTRAIN IS THE ASSUMED FALL SPEED (P/s) OF RAIN *** |
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24 | !C *** OMTSNOW IS THE ASSUMED FALL SPEED (P/s) OF SNOW *** |
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25 | !C *** COEFFR IS A COEFFICIENT GOVERNING THE RATE OF EVAPORATION *** |
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26 | !C *** OF RAIN *** |
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27 | !C *** COEFFS IS A COEFFICIENT GOVERNING THE RATE OF EVAPORATION *** |
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28 | !C *** OF SNOW *** |
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29 | !C *** CU IS THE COEFFICIENT GOVERNING CONVECTIVE MOMENTUM *** |
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30 | !C *** TRANSPORT *** |
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31 | !C *** DTMAX IS THE MAXIMUM NEGATIVE TEMPERATURE PERTURBATION *** |
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32 | !C *** A LIFTED PARCEL IS ALLOWED TO HAVE BELOW ITS LFC *** |
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33 | !C *** ALPHA AND DAMP ARE PARAMETERS THAT CONTROL THE RATE OF *** |
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34 | !C *** APPROACH TO QUASI-EQUILIBRIUM *** |
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35 | !C *** (THEIR STANDARD VALUES ARE 0.20 AND 0.1, RESPECTIVELY) *** |
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36 | !C *** (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 | !c noff: integer limit for convection (nd-noff) |
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44 | !c 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 | !c |
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64 | cu=0.70 |
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65 | !c |
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66 | betad=10.0 |
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67 | !c |
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68 | damp=0.1 |
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69 | alpha=0.2 |
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70 | !c |
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71 | delta=0.01 ! cld |
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72 | !c |
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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 & |
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77 | & ,lv,cpn,tv,gz,h,hm) |
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78 | implicit none |
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79 | |
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80 | !===================================================================== |
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81 | ! --- CALCULATE ARRAYS OF GEOPOTENTIAL, HEAT CAPACITY & STATIC ENERGY |
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82 | !===================================================================== |
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83 | |
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84 | !c inputs: |
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85 | integer len, nd, ndp1 |
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86 | real t(len,nd), q(len,nd), p(len,nd), ph(len,ndp1) |
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87 | |
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88 | !c outputs: |
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89 | real lv(len,nd), cpn(len,nd), tv(len,nd) |
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90 | real gz(len,nd), h(len,nd), hm(len,nd) |
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91 | |
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92 | !c local variables: |
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93 | integer k, i |
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94 | real cpx(len,nd) |
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95 | |
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96 | #include "cvthermo.h" |
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97 | #include "cvparam.h" |
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98 | |
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99 | |
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100 | do 110 k=1,nlp |
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101 | do 100 i=1,len |
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102 | lv(i,k)= lv0-clmcpv*(t(i,k)-t0) |
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103 | cpn(i,k)=cpd*(1.0-q(i,k))+cpv*q(i,k) |
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104 | cpx(i,k)=cpd*(1.0-q(i,k))+cl*q(i,k) |
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105 | tv(i,k)=t(i,k)*(1.0+q(i,k)*epsim1) |
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106 | 100 continue |
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107 | 110 continue |
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108 | !c |
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109 | !c gz = phi at the full levels (same as p). |
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110 | !c |
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111 | do 120 i=1,len |
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112 | gz(i,1)=0.0 |
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113 | 120 continue |
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114 | do 140 k=2,nlp |
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115 | do 130 i=1,len |
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116 | gz(i,k)=gz(i,k-1)+hrd*(tv(i,k-1)+tv(i,k)) & |
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117 | & *(p(i,k-1)-p(i,k))/ph(i,k) |
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118 | 130 continue |
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119 | 140 continue |
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120 | !c |
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121 | !c h = phi + cpT (dry static energy). |
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122 | !c hm = phi + cp(T-Tbase)+Lq |
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123 | !c |
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124 | do 170 k=1,nlp |
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125 | do 160 i=1,len |
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126 | h(i,k)=gz(i,k)+cpn(i,k)*t(i,k) |
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127 | 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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128 | 160 continue |
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129 | 170 continue |
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130 | |
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131 | return |
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132 | end SUBROUTINE cv_prelim |
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133 | |
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134 | SUBROUTINE cv_feed(len,nd,t,q,qs,p,hm,gz & |
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135 | & ,nk,icb,icbmax,iflag,tnk,qnk,gznk,plcl) |
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136 | implicit none |
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137 | |
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138 | !C================================================================ |
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139 | !C Purpose: CONVECTIVE FEED |
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140 | !C================================================================ |
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141 | |
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142 | #include "cvparam.h" |
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143 | |
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144 | !c inputs: |
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145 | integer len, nd |
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146 | real t(len,nd), q(len,nd), qs(len,nd), p(len,nd) |
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147 | real hm(len,nd), gz(len,nd) |
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148 | |
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149 | !c outputs: |
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150 | integer iflag(len), nk(len), icb(len), icbmax |
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151 | real tnk(len), qnk(len), gznk(len), plcl(len) |
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152 | |
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153 | !c local variables: |
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154 | integer i, k |
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155 | integer ihmin(len) |
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156 | real work(len) |
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157 | real pnk(len), qsnk(len), rh(len), chi(len) |
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158 | |
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159 | !------------------------------------------------------------------- |
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160 | ! --- Find level of minimum moist static energy |
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161 | ! --- If level of minimum moist static energy coincides with |
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162 | ! --- or is lower than minimum allowable parcel origin level, |
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163 | ! --- set iflag to 6. |
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164 | !------------------------------------------------------------------- |
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165 | |
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166 | do 180 i=1,len |
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167 | work(i)=1.0e12 |
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168 | ihmin(i)=nl |
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169 | 180 continue |
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170 | do 200 k=2,nlp |
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171 | do 190 i=1,len |
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172 | if((hm(i,k).lt.work(i)).and. & |
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173 | & (hm(i,k).lt.hm(i,k-1)))then |
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174 | work(i)=hm(i,k) |
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175 | ihmin(i)=k |
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176 | endif |
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177 | 190 continue |
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178 | 200 continue |
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179 | do 210 i=1,len |
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180 | ihmin(i)=min(ihmin(i),nlm) |
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181 | if(ihmin(i).le.minorig)then |
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182 | iflag(i)=6 |
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183 | endif |
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184 | 210 continue |
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185 | !c |
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186 | !------------------------------------------------------------------- |
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187 | ! --- Find that model level below the level of minimum moist static |
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188 | ! --- energy that has the maximum value of moist static energy |
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189 | !------------------------------------------------------------------- |
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190 | |
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191 | do 220 i=1,len |
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192 | work(i)=hm(i,minorig) |
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193 | nk(i)=minorig |
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194 | 220 continue |
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195 | do 240 k=minorig+1,nl |
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196 | do 230 i=1,len |
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197 | if((hm(i,k).gt.work(i)).and.(k.le.ihmin(i)))then |
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198 | work(i)=hm(i,k) |
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199 | nk(i)=k |
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200 | endif |
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201 | 230 continue |
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202 | 240 continue |
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203 | !------------------------------------------------------------------- |
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204 | ! --- Check whether parcel level temperature and specific humidity |
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205 | ! --- are reasonable |
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206 | !------------------------------------------------------------------- |
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207 | do 250 i=1,len |
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208 | if(((t(i,nk(i)).lt.250.0).or. & |
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209 | & (q(i,nk(i)).le.0.0).or. & |
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210 | & (p(i,ihmin(i)).lt.400.0)).and. & |
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211 | & (iflag(i).eq.0))iflag(i)=7 |
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212 | 250 continue |
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213 | !------------------------------------------------------------------- |
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214 | ! --- Calculate lifted condensation level of air at parcel origin level |
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215 | ! --- (Within 0.2% of formula of Bolton, MON. WEA. REV.,1980) |
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216 | !------------------------------------------------------------------- |
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217 | do 260 i=1,len |
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218 | tnk(i)=t(i,nk(i)) |
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219 | qnk(i)=q(i,nk(i)) |
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220 | gznk(i)=gz(i,nk(i)) |
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221 | pnk(i)=p(i,nk(i)) |
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222 | qsnk(i)=qs(i,nk(i)) |
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223 | !c |
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224 | rh(i)=qnk(i)/qsnk(i) |
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225 | rh(i)=min(1.0,rh(i)) |
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226 | chi(i)=tnk(i)/(1669.0-122.0*rh(i)-tnk(i)) |
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227 | plcl(i)=pnk(i)*(rh(i)**chi(i)) |
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228 | if(((plcl(i).lt.200.0).or.(plcl(i).ge.2000.0)) & |
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229 | & .and.(iflag(i).eq.0))iflag(i)=8 |
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230 | 260 continue |
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231 | !------------------------------------------------------------------- |
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232 | ! --- Calculate first level above lcl (=icb) |
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233 | !------------------------------------------------------------------- |
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234 | do 270 i=1,len |
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235 | icb(i)=nlm |
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236 | 270 continue |
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237 | !c |
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238 | do 290 k=minorig,nl |
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239 | do 280 i=1,len |
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240 | if((k.ge.(nk(i)+1)).and.(p(i,k).lt.plcl(i))) & |
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241 | & icb(i)=min(icb(i),k) |
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242 | 280 continue |
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243 | 290 continue |
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244 | !c |
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245 | do 300 i=1,len |
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246 | if((icb(i).ge.nlm).and.(iflag(i).eq.0))iflag(i)=9 |
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247 | 300 continue |
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248 | !c |
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249 | !c Compute icbmax. |
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250 | !c |
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251 | icbmax=2 |
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252 | do 310 i=1,len |
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253 | icbmax=max(icbmax,icb(i)) |
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254 | 310 continue |
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255 | |
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256 | return |
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257 | end SUBROUTINE cv_feed |
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258 | |
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259 | SUBROUTINE cv_undilute1(len,nd,t,q,qs,gz,p,nk,icb,icbmax & |
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260 | & ,tp,tvp,clw) |
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261 | implicit none |
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262 | |
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263 | #include "cvthermo.h" |
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264 | #include "cvparam.h" |
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265 | |
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266 | !c inputs: |
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267 | integer len, nd |
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268 | integer nk(len), icb(len), icbmax |
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269 | real t(len,nd), q(len,nd), qs(len,nd), gz(len,nd) |
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270 | real p(len,nd) |
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271 | |
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272 | !c outputs: |
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273 | real tp(len,nd), tvp(len,nd), clw(len,nd) |
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274 | |
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275 | !c local variables: |
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276 | integer i, k |
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277 | real tg, qg, alv, s, ahg, tc, denom, es, rg |
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278 | real ah0(len), cpp(len) |
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279 | real tnk(len), qnk(len), gznk(len), ticb(len), gzicb(len) |
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280 | |
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281 | !------------------------------------------------------------------- |
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282 | ! --- Calculates the lifted parcel virtual temperature at nk, |
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283 | ! --- the actual temperature, and the adiabatic |
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284 | ! --- liquid water content. The procedure is to solve the equation. |
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285 | ! cp*tp+L*qp+phi=cp*tnk+L*qnk+gznk. |
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286 | !------------------------------------------------------------------- |
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287 | |
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288 | do 320 i=1,len |
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289 | tnk(i)=t(i,nk(i)) |
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290 | qnk(i)=q(i,nk(i)) |
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291 | gznk(i)=gz(i,nk(i)) |
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292 | ticb(i)=t(i,icb(i)) |
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293 | gzicb(i)=gz(i,icb(i)) |
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294 | 320 continue |
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295 | !c |
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296 | !c *** Calculate certain parcel quantities, including static energy *** |
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297 | !c |
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298 | do 330 i=1,len |
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299 | ah0(i)=(cpd*(1.-qnk(i))+cl*qnk(i))*tnk(i) & |
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300 | & +qnk(i)*(lv0-clmcpv*(tnk(i)-273.15))+gznk(i) |
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301 | cpp(i)=cpd*(1.-qnk(i))+qnk(i)*cpv |
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302 | 330 continue |
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303 | !c |
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304 | !c *** Calculate lifted parcel quantities below cloud base *** |
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305 | !c |
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306 | do 350 k=minorig,icbmax-1 |
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307 | do 340 i=1,len |
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308 | tp(i,k)=tnk(i)-(gz(i,k)-gznk(i))/cpp(i) |
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309 | tvp(i,k)=tp(i,k)*(1.+qnk(i)*epsi) |
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310 | 340 continue |
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311 | 350 continue |
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312 | !c |
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313 | !c *** Find lifted parcel quantities above cloud base *** |
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314 | !c |
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315 | do 360 i=1,len |
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316 | tg=ticb(i) |
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317 | qg=qs(i,icb(i)) |
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318 | alv=lv0-clmcpv*(ticb(i)-t0) |
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319 | !c |
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320 | !c First iteration. |
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321 | !c |
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322 | s=cpd+alv*alv*qg/(rrv*ticb(i)*ticb(i)) |
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323 | s=1./s |
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324 | ahg=cpd*tg+(cl-cpd)*qnk(i)*ticb(i)+alv*qg+gzicb(i) |
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325 | tg=tg+s*(ah0(i)-ahg) |
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326 | tg=max(tg,35.0) |
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327 | tc=tg-t0 |
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328 | denom=243.5+tc |
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329 | if(tc.ge.0.0)then |
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330 | es=6.112*exp(17.67*tc/denom) |
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331 | else |
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332 | es=exp(23.33086-6111.72784/tg+0.15215*log(tg)) |
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333 | endif |
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334 | qg=eps*es/(p(i,icb(i))-es*(1.-eps)) |
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335 | !c |
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336 | !c Second iteration. |
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337 | !c |
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338 | s=cpd+alv*alv*qg/(rrv*ticb(i)*ticb(i)) |
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339 | s=1./s |
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340 | ahg=cpd*tg+(cl-cpd)*qnk(i)*ticb(i)+alv*qg+gzicb(i) |
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341 | tg=tg+s*(ah0(i)-ahg) |
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342 | tg=max(tg,35.0) |
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343 | tc=tg-t0 |
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344 | denom=243.5+tc |
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345 | if(tc.ge.0.0)then |
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346 | es=6.112*exp(17.67*tc/denom) |
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347 | else |
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348 | es=exp(23.33086-6111.72784/tg+0.15215*log(tg)) |
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349 | end if |
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350 | qg=eps*es/(p(i,icb(i))-es*(1.-eps)) |
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351 | !c |
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352 | alv=lv0-clmcpv*(ticb(i)-273.15) |
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353 | tp(i,icb(i))=(ah0(i)-(cl-cpd)*qnk(i)*ticb(i) & |
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354 | & -gz(i,icb(i))-alv*qg)/cpd |
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355 | clw(i,icb(i))=qnk(i)-qg |
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356 | clw(i,icb(i))=max(0.0,clw(i,icb(i))) |
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357 | rg=qg/(1.-qnk(i)) |
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358 | tvp(i,icb(i))=tp(i,icb(i))*(1.+rg*epsi) |
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359 | 360 continue |
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360 | !c |
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361 | do 380 k=minorig,icbmax |
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362 | do 370 i=1,len |
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363 | tvp(i,k)=tvp(i,k)-tp(i,k)*qnk(i) |
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364 | 370 continue |
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365 | 380 continue |
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366 | !c |
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367 | return |
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368 | end SUBROUTINE cv_undilute1 |
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369 | |
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370 | SUBROUTINE cv_trigger(len,nd,icb,cbmf,tv,tvp,iflag) |
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371 | implicit none |
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372 | |
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373 | !------------------------------------------------------------------- |
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374 | ! --- Test for instability. |
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375 | ! --- If there was no convection at last time step and parcel |
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376 | ! --- is stable at icb, then set iflag to 4. |
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377 | !------------------------------------------------------------------- |
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378 | |
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379 | #include "cvparam.h" |
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380 | |
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381 | !c inputs: |
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382 | integer len, nd, icb(len) |
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383 | real cbmf(len), tv(len,nd), tvp(len,nd) |
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384 | |
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385 | !c outputs: |
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386 | integer iflag(len) ! also an input |
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387 | |
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388 | !c local variables: |
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389 | integer i |
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390 | |
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391 | |
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392 | do 390 i=1,len |
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393 | if((cbmf(i).eq.0.0) .and.(iflag(i).eq.0).and. & |
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394 | & (tvp(i,icb(i)).le.(tv(i,icb(i))-dtmax)))iflag(i)=4 |
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395 | 390 continue |
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396 | |
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397 | return |
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398 | end SUBROUTINE cv_trigger |
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399 | |
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400 | SUBROUTINE cv_compress( len,nloc,ncum,nd & |
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401 | & ,iflag1,nk1,icb1 & |
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402 | & ,cbmf1,plcl1,tnk1,qnk1,gznk1 & |
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403 | & ,t1,q1,qs1,u1,v1,gz1 & |
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404 | & ,h1,lv1,cpn1,p1,ph1,tv1,tp1,tvp1,clw1 & |
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405 | & ,iflag,nk,icb & |
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406 | & ,cbmf,plcl,tnk,qnk,gznk & |
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407 | & ,t,q,qs,u,v,gz,h,lv,cpn,p,ph,tv,tp,tvp,clw & |
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408 | & ,dph ) |
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409 | implicit none |
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410 | |
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411 | #include "cvparam.h" |
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412 | |
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413 | !c inputs: |
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414 | integer len,ncum,nd,nloc |
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415 | integer iflag1(len),nk1(len),icb1(len) |
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416 | real cbmf1(len),plcl1(len),tnk1(len),qnk1(len),gznk1(len) |
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417 | real t1(len,nd),q1(len,nd),qs1(len,nd),u1(len,nd),v1(len,nd) |
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418 | real gz1(len,nd),h1(len,nd),lv1(len,nd),cpn1(len,nd) |
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419 | real p1(len,nd),ph1(len,nd+1),tv1(len,nd),tp1(len,nd) |
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420 | real tvp1(len,nd),clw1(len,nd) |
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421 | |
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422 | !c outputs: |
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423 | integer iflag(nloc),nk(nloc),icb(nloc) |
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424 | real cbmf(nloc),plcl(nloc),tnk(nloc),qnk(nloc),gznk(nloc) |
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425 | real t(nloc,nd),q(nloc,nd),qs(nloc,nd),u(nloc,nd),v(nloc,nd) |
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426 | real gz(nloc,nd),h(nloc,nd),lv(nloc,nd),cpn(nloc,nd) |
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427 | real p(nloc,nd),ph(nloc,nd+1),tv(nloc,nd),tp(nloc,nd) |
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428 | real tvp(nloc,nd),clw(nloc,nd) |
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429 | real dph(nloc,nd) |
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430 | |
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431 | !c local variables: |
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432 | integer i,k,nn |
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433 | CHARACTER (LEN=20) :: modname='cv_compress' |
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434 | CHARACTER (LEN=80) :: abort_message |
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435 | |
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436 | include 'iniprint.h' |
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437 | |
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438 | |
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439 | do 110 k=1,nl+1 |
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440 | nn=0 |
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441 | do 100 i=1,len |
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442 | if(iflag1(i).eq.0)then |
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443 | nn=nn+1 |
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444 | t(nn,k)=t1(i,k) |
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445 | q(nn,k)=q1(i,k) |
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446 | qs(nn,k)=qs1(i,k) |
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447 | u(nn,k)=u1(i,k) |
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448 | v(nn,k)=v1(i,k) |
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449 | gz(nn,k)=gz1(i,k) |
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450 | h(nn,k)=h1(i,k) |
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451 | lv(nn,k)=lv1(i,k) |
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452 | cpn(nn,k)=cpn1(i,k) |
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453 | p(nn,k)=p1(i,k) |
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454 | ph(nn,k)=ph1(i,k) |
---|
455 | tv(nn,k)=tv1(i,k) |
---|
456 | tp(nn,k)=tp1(i,k) |
---|
457 | tvp(nn,k)=tvp1(i,k) |
---|
458 | clw(nn,k)=clw1(i,k) |
---|
459 | endif |
---|
460 | 100 continue |
---|
461 | 110 continue |
---|
462 | |
---|
463 | if (nn.ne.ncum) then |
---|
464 | write(lunout,*)'strange! nn not equal to ncum: ',nn,ncum |
---|
465 | abort_message = '' |
---|
466 | CALL abort_gcm (modname,abort_message,1) |
---|
467 | endif |
---|
468 | |
---|
469 | nn=0 |
---|
470 | do 150 i=1,len |
---|
471 | if(iflag1(i).eq.0)then |
---|
472 | nn=nn+1 |
---|
473 | cbmf(nn)=cbmf1(i) |
---|
474 | plcl(nn)=plcl1(i) |
---|
475 | tnk(nn)=tnk1(i) |
---|
476 | qnk(nn)=qnk1(i) |
---|
477 | gznk(nn)=gznk1(i) |
---|
478 | nk(nn)=nk1(i) |
---|
479 | icb(nn)=icb1(i) |
---|
480 | iflag(nn)=iflag1(i) |
---|
481 | endif |
---|
482 | 150 continue |
---|
483 | |
---|
484 | do 170 k=1,nl |
---|
485 | do 160 i=1,ncum |
---|
486 | dph(i,k)=ph(i,k)-ph(i,k+1) |
---|
487 | 160 continue |
---|
488 | 170 continue |
---|
489 | |
---|
490 | return |
---|
491 | end SUBROUTINE cv_compress |
---|
492 | |
---|
493 | SUBROUTINE cv_undilute2(nloc,ncum,nd,icb,nk & |
---|
494 | & ,tnk,qnk,gznk,t,q,qs,gz & |
---|
495 | & ,p,dph,h,tv,lv & |
---|
496 | & ,inb,inb1,tp,tvp,clw,hp,ep,sigp,frac) |
---|
497 | implicit none |
---|
498 | |
---|
499 | !C--------------------------------------------------------------------- |
---|
500 | !C Purpose: |
---|
501 | !C FIND THE REST OF THE LIFTED PARCEL TEMPERATURES |
---|
502 | !C & |
---|
503 | !C COMPUTE THE PRECIPITATION EFFICIENCIES AND THE |
---|
504 | !C FRACTION OF PRECIPITATION FALLING OUTSIDE OF CLOUD |
---|
505 | !C & |
---|
506 | !C FIND THE LEVEL OF NEUTRAL BUOYANCY |
---|
507 | !C--------------------------------------------------------------------- |
---|
508 | |
---|
509 | #include "cvthermo.h" |
---|
510 | #include "cvparam.h" |
---|
511 | |
---|
512 | !c inputs: |
---|
513 | integer ncum, nd, nloc |
---|
514 | integer icb(nloc), nk(nloc) |
---|
515 | real t(nloc,nd), q(nloc,nd), qs(nloc,nd), gz(nloc,nd) |
---|
516 | real p(nloc,nd), dph(nloc,nd) |
---|
517 | real tnk(nloc), qnk(nloc), gznk(nloc) |
---|
518 | real lv(nloc,nd), tv(nloc,nd), h(nloc,nd) |
---|
519 | |
---|
520 | !c outputs: |
---|
521 | integer inb(nloc), inb1(nloc) |
---|
522 | real tp(nloc,nd), tvp(nloc,nd), clw(nloc,nd) |
---|
523 | real ep(nloc,nd), sigp(nloc,nd), hp(nloc,nd) |
---|
524 | real frac(nloc) |
---|
525 | |
---|
526 | !c local variables: |
---|
527 | integer i, k |
---|
528 | real tg,qg,ahg,alv,s,tc,es,denom,rg,tca,elacrit |
---|
529 | real by, defrac |
---|
530 | real ah0(nloc), cape(nloc), capem(nloc), byp(nloc) |
---|
531 | logical lcape(nloc) |
---|
532 | |
---|
533 | !===================================================================== |
---|
534 | ! --- SOME INITIALIZATIONS |
---|
535 | !===================================================================== |
---|
536 | |
---|
537 | do 170 k=1,nl |
---|
538 | do 160 i=1,ncum |
---|
539 | ep(i,k)=0.0 |
---|
540 | sigp(i,k)=sigs |
---|
541 | 160 continue |
---|
542 | 170 continue |
---|
543 | |
---|
544 | !===================================================================== |
---|
545 | ! --- FIND THE REST OF THE LIFTED PARCEL TEMPERATURES |
---|
546 | !===================================================================== |
---|
547 | !c |
---|
548 | !c --- The procedure is to solve the equation. |
---|
549 | !c cp*tp+L*qp+phi=cp*tnk+L*qnk+gznk. |
---|
550 | !c |
---|
551 | !c *** Calculate certain parcel quantities, including static energy *** |
---|
552 | !c |
---|
553 | !c |
---|
554 | do 240 i=1,ncum |
---|
555 | ah0(i)=(cpd*(1.-qnk(i))+cl*qnk(i))*tnk(i) & |
---|
556 | & +qnk(i)*(lv0-clmcpv*(tnk(i)-t0))+gznk(i) |
---|
557 | 240 continue |
---|
558 | !c |
---|
559 | !c |
---|
560 | !c *** Find lifted parcel quantities above cloud base *** |
---|
561 | !c |
---|
562 | !c |
---|
563 | do 300 k=minorig+1,nl |
---|
564 | do 290 i=1,ncum |
---|
565 | if(k.ge.(icb(i)+1))then |
---|
566 | tg=t(i,k) |
---|
567 | qg=qs(i,k) |
---|
568 | alv=lv0-clmcpv*(t(i,k)-t0) |
---|
569 | !c |
---|
570 | !c First iteration. |
---|
571 | !c |
---|
572 | s=cpd+alv*alv*qg/(rrv*t(i,k)*t(i,k)) |
---|
573 | s=1./s |
---|
574 | ahg=cpd*tg+(cl-cpd)*qnk(i)*t(i,k)+alv*qg+gz(i,k) |
---|
575 | tg=tg+s*(ah0(i)-ahg) |
---|
576 | tg=max(tg,35.0) |
---|
577 | tc=tg-t0 |
---|
578 | denom=243.5+tc |
---|
579 | if(tc.ge.0.0)then |
---|
580 | es=6.112*exp(17.67*tc/denom) |
---|
581 | else |
---|
582 | es=exp(23.33086-6111.72784/tg+0.15215*log(tg)) |
---|
583 | endif |
---|
584 | qg=eps*es/(p(i,k)-es*(1.-eps)) |
---|
585 | !c |
---|
586 | !c Second iteration. |
---|
587 | !c |
---|
588 | s=cpd+alv*alv*qg/(rrv*t(i,k)*t(i,k)) |
---|
589 | s=1./s |
---|
590 | ahg=cpd*tg+(cl-cpd)*qnk(i)*t(i,k)+alv*qg+gz(i,k) |
---|
591 | tg=tg+s*(ah0(i)-ahg) |
---|
592 | tg=max(tg,35.0) |
---|
593 | tc=tg-t0 |
---|
594 | denom=243.5+tc |
---|
595 | if(tc.ge.0.0)then |
---|
596 | es=6.112*exp(17.67*tc/denom) |
---|
597 | else |
---|
598 | es=exp(23.33086-6111.72784/tg+0.15215*log(tg)) |
---|
599 | endif |
---|
600 | qg=eps*es/(p(i,k)-es*(1.-eps)) |
---|
601 | !c |
---|
602 | alv=lv0-clmcpv*(t(i,k)-t0) |
---|
603 | !c print*,'cpd dans convect2 ',cpd |
---|
604 | !c print*,'tp(i,k),ah0(i),cl,cpd,qnk(i),t(i,k),gz(i,k),alv,qg,cpd' |
---|
605 | !c print*,tp(i,k),ah0(i),cl,cpd,qnk(i),t(i,k),gz(i,k),alv,qg,cpd |
---|
606 | tp(i,k)=(ah0(i)-(cl-cpd)*qnk(i)*t(i,k)-gz(i,k)-alv*qg)/cpd |
---|
607 | !c if (.not.cpd.gt.1000.) then |
---|
608 | !c print*,'CPD=',cpd |
---|
609 | !c stop |
---|
610 | !c endif |
---|
611 | clw(i,k)=qnk(i)-qg |
---|
612 | clw(i,k)=max(0.0,clw(i,k)) |
---|
613 | rg=qg/(1.-qnk(i)) |
---|
614 | tvp(i,k)=tp(i,k)*(1.+rg*epsi) |
---|
615 | endif |
---|
616 | 290 continue |
---|
617 | 300 continue |
---|
618 | !c |
---|
619 | !===================================================================== |
---|
620 | ! --- SET THE PRECIPITATION EFFICIENCIES AND THE FRACTION OF |
---|
621 | ! --- PRECIPITATION FALLING OUTSIDE OF CLOUD |
---|
622 | ! --- THESE MAY BE FUNCTIONS OF TP(I), P(I) AND CLW(I) |
---|
623 | !===================================================================== |
---|
624 | !c |
---|
625 | do 320 k=minorig+1,nl |
---|
626 | do 310 i=1,ncum |
---|
627 | if(k.ge.(nk(i)+1))then |
---|
628 | tca=tp(i,k)-t0 |
---|
629 | if(tca.ge.0.0)then |
---|
630 | elacrit=elcrit |
---|
631 | else |
---|
632 | elacrit=elcrit*(1.0-tca/tlcrit) |
---|
633 | endif |
---|
634 | elacrit=max(elacrit,0.0) |
---|
635 | ep(i,k)=1.0-elacrit/max(clw(i,k),1.0e-8) |
---|
636 | ep(i,k)=max(ep(i,k),0.0 ) |
---|
637 | ep(i,k)=min(ep(i,k),1.0 ) |
---|
638 | sigp(i,k)=sigs |
---|
639 | endif |
---|
640 | 310 continue |
---|
641 | 320 continue |
---|
642 | !c |
---|
643 | !===================================================================== |
---|
644 | ! --- CALCULATE VIRTUAL TEMPERATURE AND LIFTED PARCEL |
---|
645 | ! --- VIRTUAL TEMPERATURE |
---|
646 | !===================================================================== |
---|
647 | !c |
---|
648 | do 340 k=minorig+1,nl |
---|
649 | do 330 i=1,ncum |
---|
650 | if(k.ge.(icb(i)+1))then |
---|
651 | tvp(i,k)=tvp(i,k)*(1.0-qnk(i)+ep(i,k)*clw(i,k)) |
---|
652 | !c print*,'i,k,tvp(i,k),qnk(i),ep(i,k),clw(i,k)' |
---|
653 | !c print*, i,k,tvp(i,k),qnk(i),ep(i,k),clw(i,k) |
---|
654 | endif |
---|
655 | 330 continue |
---|
656 | 340 continue |
---|
657 | do 350 i=1,ncum |
---|
658 | tvp(i,nlp)=tvp(i,nl)-(gz(i,nlp)-gz(i,nl))/cpd |
---|
659 | 350 continue |
---|
660 | !c |
---|
661 | !c===================================================================== |
---|
662 | !c --- FIND THE FIRST MODEL LEVEL (INB1) ABOVE THE PARCEL'S |
---|
663 | !c --- HIGHEST LEVEL OF NEUTRAL BUOYANCY |
---|
664 | !c --- AND THE HIGHEST LEVEL OF POSITIVE CAPE (INB) |
---|
665 | !c===================================================================== |
---|
666 | !c |
---|
667 | do 510 i=1,ncum |
---|
668 | cape(i)=0.0 |
---|
669 | capem(i)=0.0 |
---|
670 | inb(i)=icb(i)+1 |
---|
671 | inb1(i)=inb(i) |
---|
672 | 510 continue |
---|
673 | !c |
---|
674 | !c Originial Code |
---|
675 | !c |
---|
676 | !c do 530 k=minorig+1,nl-1 |
---|
677 | !c do 520 i=1,ncum |
---|
678 | !c if(k.ge.(icb(i)+1))then |
---|
679 | !c by=(tvp(i,k)-tv(i,k))*dph(i,k)/p(i,k) |
---|
680 | !c byp=(tvp(i,k+1)-tv(i,k+1))*dph(i,k+1)/p(i,k+1) |
---|
681 | !c cape(i)=cape(i)+by |
---|
682 | !c if(by.ge.0.0)inb1(i)=k+1 |
---|
683 | !c if(cape(i).gt.0.0)then |
---|
684 | !c inb(i)=k+1 |
---|
685 | !c capem(i)=cape(i) |
---|
686 | !c endif |
---|
687 | !c endif |
---|
688 | !c520 continue |
---|
689 | !c530 continue |
---|
690 | !c do 540 i=1,ncum |
---|
691 | !c byp=(tvp(i,nl)-tv(i,nl))*dph(i,nl)/p(i,nl) |
---|
692 | !c cape(i)=capem(i)+byp |
---|
693 | !c defrac=capem(i)-cape(i) |
---|
694 | !c defrac=max(defrac,0.001) |
---|
695 | !c frac(i)=-cape(i)/defrac |
---|
696 | !c frac(i)=min(frac(i),1.0) |
---|
697 | !c frac(i)=max(frac(i),0.0) |
---|
698 | !c540 continue |
---|
699 | !c |
---|
700 | !c K Emanuel fix |
---|
701 | !c |
---|
702 | !c call zilch(byp,ncum) |
---|
703 | !c do 530 k=minorig+1,nl-1 |
---|
704 | !c do 520 i=1,ncum |
---|
705 | !c if(k.ge.(icb(i)+1))then |
---|
706 | !c by=(tvp(i,k)-tv(i,k))*dph(i,k)/p(i,k) |
---|
707 | !c cape(i)=cape(i)+by |
---|
708 | !c if(by.ge.0.0)inb1(i)=k+1 |
---|
709 | !c if(cape(i).gt.0.0)then |
---|
710 | !c inb(i)=k+1 |
---|
711 | !c capem(i)=cape(i) |
---|
712 | !c byp(i)=(tvp(i,k+1)-tv(i,k+1))*dph(i,k+1)/p(i,k+1) |
---|
713 | !c endif |
---|
714 | !c endif |
---|
715 | !c520 continue |
---|
716 | !c530 continue |
---|
717 | !c do 540 i=1,ncum |
---|
718 | !c inb(i)=max(inb(i),inb1(i)) |
---|
719 | !c cape(i)=capem(i)+byp(i) |
---|
720 | !c defrac=capem(i)-cape(i) |
---|
721 | !c defrac=max(defrac,0.001) |
---|
722 | !c frac(i)=-cape(i)/defrac |
---|
723 | !c frac(i)=min(frac(i),1.0) |
---|
724 | !c frac(i)=max(frac(i),0.0) |
---|
725 | !c540 continue |
---|
726 | !c |
---|
727 | !c J Teixeira fix |
---|
728 | !c |
---|
729 | call zilch(byp,ncum) |
---|
730 | do 515 i=1,ncum |
---|
731 | lcape(i)=.true. |
---|
732 | 515 continue |
---|
733 | do 530 k=minorig+1,nl-1 |
---|
734 | do 520 i=1,ncum |
---|
735 | if(cape(i).lt.0.0)lcape(i)=.false. |
---|
736 | if((k.ge.(icb(i)+1)).and.lcape(i))then |
---|
737 | by=(tvp(i,k)-tv(i,k))*dph(i,k)/p(i,k) |
---|
738 | byp(i)=(tvp(i,k+1)-tv(i,k+1))*dph(i,k+1)/p(i,k+1) |
---|
739 | cape(i)=cape(i)+by |
---|
740 | if(by.ge.0.0)inb1(i)=k+1 |
---|
741 | if(cape(i).gt.0.0)then |
---|
742 | inb(i)=k+1 |
---|
743 | capem(i)=cape(i) |
---|
744 | endif |
---|
745 | endif |
---|
746 | 520 continue |
---|
747 | 530 continue |
---|
748 | do 540 i=1,ncum |
---|
749 | cape(i)=capem(i)+byp(i) |
---|
750 | defrac=capem(i)-cape(i) |
---|
751 | defrac=max(defrac,0.001) |
---|
752 | frac(i)=-cape(i)/defrac |
---|
753 | frac(i)=min(frac(i),1.0) |
---|
754 | frac(i)=max(frac(i),0.0) |
---|
755 | 540 continue |
---|
756 | !c |
---|
757 | !c===================================================================== |
---|
758 | !c --- CALCULATE LIQUID WATER STATIC ENERGY OF LIFTED PARCEL |
---|
759 | !c===================================================================== |
---|
760 | !c |
---|
761 | !c initialization: |
---|
762 | do i=1,ncum*nlp |
---|
763 | hp(i,1)=h(i,1) |
---|
764 | enddo |
---|
765 | |
---|
766 | do 600 k=minorig+1,nl |
---|
767 | do 590 i=1,ncum |
---|
768 | if((k.ge.icb(i)).and.(k.le.inb(i)))then |
---|
769 | hp(i,k)=h(i,nk(i))+(lv(i,k)+(cpd-cpv)*t(i,k))*ep(i,k)*clw(i,k) |
---|
770 | endif |
---|
771 | 590 continue |
---|
772 | 600 continue |
---|
773 | !c |
---|
774 | return |
---|
775 | end SUBROUTINE cv_undilute2 |
---|
776 | !c |
---|
777 | SUBROUTINE cv_closure(nloc,ncum,nd,nk,icb & |
---|
778 | & ,tv,tvp,p,ph,dph,plcl,cpn & |
---|
779 | & ,iflag,cbmf) |
---|
780 | implicit none |
---|
781 | |
---|
782 | !c inputs: |
---|
783 | integer ncum, nd, nloc |
---|
784 | integer nk(nloc), icb(nloc) |
---|
785 | real tv(nloc,nd), tvp(nloc,nd), p(nloc,nd), dph(nloc,nd) |
---|
786 | real ph(nloc,nd+1) ! caution nd instead ndp1 to be consistent... |
---|
787 | real plcl(nloc), cpn(nloc,nd) |
---|
788 | |
---|
789 | !c outputs: |
---|
790 | integer iflag(nloc) |
---|
791 | real cbmf(nloc) ! also an input |
---|
792 | |
---|
793 | !c local variables: |
---|
794 | integer i, k, icbmax |
---|
795 | real dtpbl(nloc), dtmin(nloc), tvpplcl(nloc), tvaplcl(nloc) |
---|
796 | real work(nloc) |
---|
797 | |
---|
798 | #include "cvthermo.h" |
---|
799 | #include "cvparam.h" |
---|
800 | |
---|
801 | !c------------------------------------------------------------------- |
---|
802 | !c Compute icbmax. |
---|
803 | !c------------------------------------------------------------------- |
---|
804 | |
---|
805 | icbmax=2 |
---|
806 | do 230 i=1,ncum |
---|
807 | icbmax=max(icbmax,icb(i)) |
---|
808 | 230 continue |
---|
809 | |
---|
810 | !c===================================================================== |
---|
811 | !c --- CALCULATE CLOUD BASE MASS FLUX |
---|
812 | !c===================================================================== |
---|
813 | !c |
---|
814 | !c tvpplcl = parcel temperature lifted adiabatically from level |
---|
815 | !c icb-1 to the LCL. |
---|
816 | !c tvaplcl = virtual temperature at the LCL. |
---|
817 | !c |
---|
818 | do 610 i=1,ncum |
---|
819 | dtpbl(i)=0.0 |
---|
820 | tvpplcl(i)=tvp(i,icb(i)-1) & |
---|
821 | & -rrd*tvp(i,icb(i)-1)*(p(i,icb(i)-1)-plcl(i)) & |
---|
822 | & /(cpn(i,icb(i)-1)*p(i,icb(i)-1)) |
---|
823 | tvaplcl(i)=tv(i,icb(i)) & |
---|
824 | & +(tvp(i,icb(i))-tvp(i,icb(i)+1))*(plcl(i)-p(i,icb(i))) & |
---|
825 | & /(p(i,icb(i))-p(i,icb(i)+1)) |
---|
826 | 610 continue |
---|
827 | |
---|
828 | !c------------------------------------------------------------------- |
---|
829 | !c --- Interpolate difference between lifted parcel and |
---|
830 | !c --- environmental temperatures to lifted condensation level |
---|
831 | !c------------------------------------------------------------------- |
---|
832 | !c |
---|
833 | !c dtpbl = average of tvp-tv in the PBL (k=nk to icb-1). |
---|
834 | !c |
---|
835 | do 630 k=minorig,icbmax |
---|
836 | do 620 i=1,ncum |
---|
837 | if((k.ge.nk(i)).and.(k.le.(icb(i)-1)))then |
---|
838 | dtpbl(i)=dtpbl(i)+(tvp(i,k)-tv(i,k))*dph(i,k) |
---|
839 | endif |
---|
840 | 620 continue |
---|
841 | 630 continue |
---|
842 | do 640 i=1,ncum |
---|
843 | dtpbl(i)=dtpbl(i)/(ph(i,nk(i))-ph(i,icb(i))) |
---|
844 | dtmin(i)=tvpplcl(i)-tvaplcl(i)+dtmax+dtpbl(i) |
---|
845 | 640 continue |
---|
846 | !c |
---|
847 | !c------------------------------------------------------------------- |
---|
848 | !c --- Adjust cloud base mass flux |
---|
849 | !c------------------------------------------------------------------- |
---|
850 | !c |
---|
851 | do 650 i=1,ncum |
---|
852 | work(i)=cbmf(i) |
---|
853 | cbmf(i)=max(0.0,(1.0-damp)*cbmf(i)+0.1*alpha*dtmin(i)) |
---|
854 | if((work(i).eq.0.0).and.(cbmf(i).eq.0.0))then |
---|
855 | iflag(i)=3 |
---|
856 | endif |
---|
857 | 650 continue |
---|
858 | |
---|
859 | return |
---|
860 | end SUBROUTINE cv_closure |
---|
861 | |
---|
862 | SUBROUTINE cv_mixing(nloc,ncum,nd,icb,nk,inb,inb1 & |
---|
863 | & ,ph,t,q,qs,u,v,h,lv,qnk & |
---|
864 | & ,hp,tv,tvp,ep,clw,cbmf & |
---|
865 | & ,m,ment,qent,uent,vent,nent,sij,elij) |
---|
866 | implicit none |
---|
867 | |
---|
868 | #include "cvthermo.h" |
---|
869 | #include "cvparam.h" |
---|
870 | |
---|
871 | !c inputs: |
---|
872 | integer ncum, nd, nloc |
---|
873 | integer icb(nloc), inb(nloc), inb1(nloc), nk(nloc) |
---|
874 | real cbmf(nloc), qnk(nloc) |
---|
875 | real ph(nloc,nd+1) |
---|
876 | real t(nloc,nd), q(nloc,nd), qs(nloc,nd), lv(nloc,nd) |
---|
877 | real u(nloc,nd), v(nloc,nd), h(nloc,nd), hp(nloc,nd) |
---|
878 | real tv(nloc,nd), tvp(nloc,nd), ep(nloc,nd), clw(nloc,nd) |
---|
879 | |
---|
880 | !c outputs: |
---|
881 | integer nent(nloc,nd) |
---|
882 | real m(nloc,nd), ment(nloc,nd,nd), qent(nloc,nd,nd) |
---|
883 | real uent(nloc,nd,nd), vent(nloc,nd,nd) |
---|
884 | real sij(nloc,nd,nd), elij(nloc,nd,nd) |
---|
885 | |
---|
886 | !c local variables: |
---|
887 | integer i, j, k, ij |
---|
888 | integer num1, num2 |
---|
889 | real dbo, qti, bf2, anum, denom, dei, altem, cwat, stemp |
---|
890 | real alt, qp1, smid, sjmin, sjmax, delp, delm |
---|
891 | real work(nloc), asij(nloc), smin(nloc), scrit(nloc) |
---|
892 | real bsum(nloc,nd) |
---|
893 | logical lwork(nloc) |
---|
894 | |
---|
895 | !c===================================================================== |
---|
896 | !c --- INITIALIZE VARIOUS ARRAYS USED IN THE COMPUTATIONS |
---|
897 | !c===================================================================== |
---|
898 | !c |
---|
899 | do 360 i=1,ncum*nlp |
---|
900 | nent(i,1)=0 |
---|
901 | m(i,1)=0.0 |
---|
902 | 360 continue |
---|
903 | !c |
---|
904 | do 400 k=1,nlp |
---|
905 | do 390 j=1,nlp |
---|
906 | do 385 i=1,ncum |
---|
907 | qent(i,k,j)=q(i,j) |
---|
908 | uent(i,k,j)=u(i,j) |
---|
909 | vent(i,k,j)=v(i,j) |
---|
910 | elij(i,k,j)=0.0 |
---|
911 | ment(i,k,j)=0.0 |
---|
912 | sij(i,k,j)=0.0 |
---|
913 | 385 continue |
---|
914 | 390 continue |
---|
915 | 400 continue |
---|
916 | !c |
---|
917 | !c------------------------------------------------------------------- |
---|
918 | !c --- Calculate rates of mixing, m(i) |
---|
919 | !c------------------------------------------------------------------- |
---|
920 | !c |
---|
921 | call zilch(work,ncum) |
---|
922 | !c |
---|
923 | do 670 j=minorig+1,nl |
---|
924 | do 660 i=1,ncum |
---|
925 | if((j.ge.(icb(i)+1)).and.(j.le.inb(i)))then |
---|
926 | k=min(j,inb1(i)) |
---|
927 | dbo=abs(tv(i,k+1)-tvp(i,k+1)-tv(i,k-1)+tvp(i,k-1)) & |
---|
928 | & +entp*0.04*(ph(i,k)-ph(i,k+1)) |
---|
929 | work(i)=work(i)+dbo |
---|
930 | m(i,j)=cbmf(i)*dbo |
---|
931 | endif |
---|
932 | 660 continue |
---|
933 | 670 continue |
---|
934 | do 690 k=minorig+1,nl |
---|
935 | do 680 i=1,ncum |
---|
936 | if((k.ge.(icb(i)+1)).and.(k.le.inb(i)))then |
---|
937 | m(i,k)=m(i,k)/work(i) |
---|
938 | endif |
---|
939 | 680 continue |
---|
940 | 690 continue |
---|
941 | !c |
---|
942 | !c |
---|
943 | !c===================================================================== |
---|
944 | !c --- CALCULATE ENTRAINED AIR MASS FLUX (ment), TOTAL WATER MIXING |
---|
945 | !c --- RATIO (QENT), TOTAL CONDENSED WATER (elij), AND MIXING |
---|
946 | !c --- FRACTION (sij) |
---|
947 | !c===================================================================== |
---|
948 | !c |
---|
949 | !c |
---|
950 | do 750 i=minorig+1,nl |
---|
951 | do 710 j=minorig+1,nl |
---|
952 | do 700 ij=1,ncum |
---|
953 | if((i.ge.(icb(ij)+1)).and.(j.ge.icb(ij)) & |
---|
954 | & .and.(i.le.inb(ij)).and.(j.le.inb(ij)))then |
---|
955 | qti=qnk(ij)-ep(ij,i)*clw(ij,i) |
---|
956 | bf2=1.+lv(ij,j)*lv(ij,j)*qs(ij,j) & |
---|
957 | & /(rrv*t(ij,j)*t(ij,j)*cpd) |
---|
958 | anum=h(ij,j)-hp(ij,i)+(cpv-cpd)*t(ij,j)*(qti-q(ij,j)) |
---|
959 | denom=h(ij,i)-hp(ij,i)+(cpd-cpv)*(q(ij,i)-qti)*t(ij,j) |
---|
960 | dei=denom |
---|
961 | if(abs(dei).lt.0.01)dei=0.01 |
---|
962 | sij(ij,i,j)=anum/dei |
---|
963 | sij(ij,i,i)=1.0 |
---|
964 | altem=sij(ij,i,j)*q(ij,i)+(1.-sij(ij,i,j))*qti-qs(ij,j) |
---|
965 | altem=altem/bf2 |
---|
966 | cwat=clw(ij,j)*(1.-ep(ij,j)) |
---|
967 | stemp=sij(ij,i,j) |
---|
968 | if((stemp.lt.0.0.or.stemp.gt.1.0.or. & |
---|
969 | & altem.gt.cwat).and.j.gt.i)then |
---|
970 | anum=anum-lv(ij,j)*(qti-qs(ij,j)-cwat*bf2) |
---|
971 | denom=denom+lv(ij,j)*(q(ij,i)-qti) |
---|
972 | if(abs(denom).lt.0.01)denom=0.01 |
---|
973 | sij(ij,i,j)=anum/denom |
---|
974 | altem=sij(ij,i,j)*q(ij,i)+(1.-sij(ij,i,j))*qti-qs(ij,j) |
---|
975 | altem=altem-(bf2-1.)*cwat |
---|
976 | endif |
---|
977 | if(sij(ij,i,j).gt.0.0.and.sij(ij,i,j).lt.0.9)then |
---|
978 | qent(ij,i,j)=sij(ij,i,j)*q(ij,i) & |
---|
979 | & +(1.-sij(ij,i,j))*qti |
---|
980 | uent(ij,i,j)=sij(ij,i,j)*u(ij,i) & |
---|
981 | & +(1.-sij(ij,i,j))*u(ij,nk(ij)) |
---|
982 | vent(ij,i,j)=sij(ij,i,j)*v(ij,i) & |
---|
983 | & +(1.-sij(ij,i,j))*v(ij,nk(ij)) |
---|
984 | elij(ij,i,j)=altem |
---|
985 | elij(ij,i,j)=max(0.0,elij(ij,i,j)) |
---|
986 | ment(ij,i,j)=m(ij,i)/(1.-sij(ij,i,j)) |
---|
987 | nent(ij,i)=nent(ij,i)+1 |
---|
988 | endif |
---|
989 | sij(ij,i,j)=max(0.0,sij(ij,i,j)) |
---|
990 | sij(ij,i,j)=min(1.0,sij(ij,i,j)) |
---|
991 | endif |
---|
992 | 700 continue |
---|
993 | 710 continue |
---|
994 | !c |
---|
995 | !c *** If no air can entrain at level i assume that updraft detrains *** |
---|
996 | !c *** at that level and calculate detrained air flux and properties *** |
---|
997 | !c |
---|
998 | do 740 ij=1,ncum |
---|
999 | if((i.ge.(icb(ij)+1)).and.(i.le.inb(ij)) & |
---|
1000 | & .and.(nent(ij,i).eq.0))then |
---|
1001 | ment(ij,i,i)=m(ij,i) |
---|
1002 | qent(ij,i,i)=q(ij,nk(ij))-ep(ij,i)*clw(ij,i) |
---|
1003 | uent(ij,i,i)=u(ij,nk(ij)) |
---|
1004 | vent(ij,i,i)=v(ij,nk(ij)) |
---|
1005 | elij(ij,i,i)=clw(ij,i) |
---|
1006 | sij(ij,i,i)=1.0 |
---|
1007 | endif |
---|
1008 | 740 continue |
---|
1009 | 750 continue |
---|
1010 | !c |
---|
1011 | do 770 i=1,ncum |
---|
1012 | sij(i,inb(i),inb(i))=1.0 |
---|
1013 | 770 continue |
---|
1014 | !c |
---|
1015 | !c===================================================================== |
---|
1016 | !c --- NORMALIZE ENTRAINED AIR MASS FLUXES |
---|
1017 | !c --- TO REPRESENT EQUAL PROBABILITIES OF MIXING |
---|
1018 | !c===================================================================== |
---|
1019 | !c |
---|
1020 | call zilch(bsum,ncum*nlp) |
---|
1021 | do 780 ij=1,ncum |
---|
1022 | lwork(ij)=.false. |
---|
1023 | 780 continue |
---|
1024 | do 789 i=minorig+1,nl |
---|
1025 | !c |
---|
1026 | num1=0 |
---|
1027 | do 779 ij=1,ncum |
---|
1028 | if((i.ge.icb(ij)+1).and.(i.le.inb(ij)))num1=num1+1 |
---|
1029 | 779 continue |
---|
1030 | if(num1.le.0)go to 789 |
---|
1031 | !c |
---|
1032 | do 781 ij=1,ncum |
---|
1033 | if((i.ge.icb(ij)+1).and.(i.le.inb(ij)))then |
---|
1034 | lwork(ij)=(nent(ij,i).ne.0) |
---|
1035 | qp1=q(ij,nk(ij))-ep(ij,i)*clw(ij,i) |
---|
1036 | anum=h(ij,i)-hp(ij,i)-lv(ij,i)*(qp1-qs(ij,i)) |
---|
1037 | denom=h(ij,i)-hp(ij,i)+lv(ij,i)*(q(ij,i)-qp1) |
---|
1038 | if(abs(denom).lt.0.01)denom=0.01 |
---|
1039 | scrit(ij)=anum/denom |
---|
1040 | alt=qp1-qs(ij,i)+scrit(ij)*(q(ij,i)-qp1) |
---|
1041 | if(scrit(ij).lt.0.0.or.alt.lt.0.0)scrit(ij)=1.0 |
---|
1042 | asij(ij)=0.0 |
---|
1043 | smin(ij)=1.0 |
---|
1044 | endif |
---|
1045 | 781 continue |
---|
1046 | do 783 j=minorig,nl |
---|
1047 | !c |
---|
1048 | num2=0 |
---|
1049 | do 778 ij=1,ncum |
---|
1050 | if((i.ge.icb(ij)+1).and.(i.le.inb(ij)) & |
---|
1051 | & .and.(j.ge.icb(ij)).and.(j.le.inb(ij)) & |
---|
1052 | & .and.lwork(ij))num2=num2+1 |
---|
1053 | 778 continue |
---|
1054 | if(num2.le.0)go to 783 |
---|
1055 | !c |
---|
1056 | do 782 ij=1,ncum |
---|
1057 | if((i.ge.icb(ij)+1).and.(i.le.inb(ij)) & |
---|
1058 | & .and.(j.ge.icb(ij)).and.(j.le.inb(ij)).and.lwork(ij))then |
---|
1059 | if(sij(ij,i,j).gt.0.0.and.sij(ij,i,j).lt.0.9)then |
---|
1060 | if(j.gt.i)then |
---|
1061 | smid=min(sij(ij,i,j),scrit(ij)) |
---|
1062 | sjmax=smid |
---|
1063 | sjmin=smid |
---|
1064 | if(smid.lt.smin(ij) & |
---|
1065 | & .and.sij(ij,i,j+1).lt.smid)then |
---|
1066 | smin(ij)=smid |
---|
1067 | sjmax=min(sij(ij,i,j+1),sij(ij,i,j),scrit(ij)) |
---|
1068 | sjmin=max(sij(ij,i,j-1),sij(ij,i,j)) |
---|
1069 | sjmin=min(sjmin,scrit(ij)) |
---|
1070 | endif |
---|
1071 | else |
---|
1072 | sjmax=max(sij(ij,i,j+1),scrit(ij)) |
---|
1073 | smid=max(sij(ij,i,j),scrit(ij)) |
---|
1074 | sjmin=0.0 |
---|
1075 | if(j.gt.1)sjmin=sij(ij,i,j-1) |
---|
1076 | sjmin=max(sjmin,scrit(ij)) |
---|
1077 | endif |
---|
1078 | delp=abs(sjmax-smid) |
---|
1079 | delm=abs(sjmin-smid) |
---|
1080 | asij(ij)=asij(ij)+(delp+delm) & |
---|
1081 | & *(ph(ij,j)-ph(ij,j+1)) |
---|
1082 | ment(ij,i,j)=ment(ij,i,j)*(delp+delm) & |
---|
1083 | & *(ph(ij,j)-ph(ij,j+1)) |
---|
1084 | endif |
---|
1085 | endif |
---|
1086 | 782 continue |
---|
1087 | 783 continue |
---|
1088 | do 784 ij=1,ncum |
---|
1089 | if((i.ge.icb(ij)+1).and.(i.le.inb(ij)).and.lwork(ij))then |
---|
1090 | asij(ij)=max(1.0e-21,asij(ij)) |
---|
1091 | asij(ij)=1.0/asij(ij) |
---|
1092 | bsum(ij,i)=0.0 |
---|
1093 | endif |
---|
1094 | 784 continue |
---|
1095 | do 786 j=minorig,nl+1 |
---|
1096 | do 785 ij=1,ncum |
---|
1097 | if((i.ge.icb(ij)+1).and.(i.le.inb(ij)) & |
---|
1098 | & .and.(j.ge.icb(ij)).and.(j.le.inb(ij)) & |
---|
1099 | & .and.lwork(ij))then |
---|
1100 | ment(ij,i,j)=ment(ij,i,j)*asij(ij) |
---|
1101 | bsum(ij,i)=bsum(ij,i)+ment(ij,i,j) |
---|
1102 | endif |
---|
1103 | 785 continue |
---|
1104 | 786 continue |
---|
1105 | do 787 ij=1,ncum |
---|
1106 | if((i.ge.icb(ij)+1).and.(i.le.inb(ij)) & |
---|
1107 | & .and.(bsum(ij,i).lt.1.0e-18).and.lwork(ij))then |
---|
1108 | nent(ij,i)=0 |
---|
1109 | ment(ij,i,i)=m(ij,i) |
---|
1110 | qent(ij,i,i)=q(ij,nk(ij))-ep(ij,i)*clw(ij,i) |
---|
1111 | uent(ij,i,i)=u(ij,nk(ij)) |
---|
1112 | vent(ij,i,i)=v(ij,nk(ij)) |
---|
1113 | elij(ij,i,i)=clw(ij,i) |
---|
1114 | sij(ij,i,i)=1.0 |
---|
1115 | endif |
---|
1116 | 787 continue |
---|
1117 | 789 continue |
---|
1118 | !c |
---|
1119 | return |
---|
1120 | end SUBROUTINE cv_mixing |
---|
1121 | |
---|
1122 | SUBROUTINE cv_unsat(nloc,ncum,nd,inb,t,q,qs,gz,u,v,p,ph & |
---|
1123 | & ,h,lv,ep,sigp,clw,m,ment,elij & |
---|
1124 | & ,iflag,mp,qp,up,vp,wt,water,evap) |
---|
1125 | implicit none |
---|
1126 | |
---|
1127 | |
---|
1128 | #include "cvthermo.h" |
---|
1129 | #include "cvparam.h" |
---|
1130 | |
---|
1131 | !c inputs: |
---|
1132 | integer ncum, nd, nloc |
---|
1133 | integer inb(nloc) |
---|
1134 | real t(nloc,nd), q(nloc,nd), qs(nloc,nd) |
---|
1135 | real gz(nloc,nd), u(nloc,nd), v(nloc,nd) |
---|
1136 | real p(nloc,nd), ph(nloc,nd+1), h(nloc,nd) |
---|
1137 | real lv(nloc,nd), ep(nloc,nd), sigp(nloc,nd), clw(nloc,nd) |
---|
1138 | real m(nloc,nd), ment(nloc,nd,nd), elij(nloc,nd,nd) |
---|
1139 | |
---|
1140 | !c outputs: |
---|
1141 | integer iflag(nloc) ! also an input |
---|
1142 | real mp(nloc,nd), qp(nloc,nd), up(nloc,nd), vp(nloc,nd) |
---|
1143 | real water(nloc,nd), evap(nloc,nd), wt(nloc,nd) |
---|
1144 | |
---|
1145 | !c local variables: |
---|
1146 | integer i,j,k,ij,num1 |
---|
1147 | integer jtt(nloc) |
---|
1148 | real awat, coeff, qsm, afac, sigt, b6, c6, revap |
---|
1149 | real dhdp, fac, qstm, rat |
---|
1150 | real wdtrain(nloc) |
---|
1151 | logical lwork(nloc) |
---|
1152 | |
---|
1153 | !c===================================================================== |
---|
1154 | !c --- PRECIPITATING DOWNDRAFT CALCULATION |
---|
1155 | !c===================================================================== |
---|
1156 | !c |
---|
1157 | !c Initializations: |
---|
1158 | !c |
---|
1159 | do i = 1, ncum |
---|
1160 | do k = 1, nl+1 |
---|
1161 | wt(i,k) = omtsnow |
---|
1162 | mp(i,k) = 0.0 |
---|
1163 | evap(i,k) = 0.0 |
---|
1164 | water(i,k) = 0.0 |
---|
1165 | enddo |
---|
1166 | enddo |
---|
1167 | |
---|
1168 | do 420 i=1,ncum |
---|
1169 | qp(i,1)=q(i,1) |
---|
1170 | up(i,1)=u(i,1) |
---|
1171 | vp(i,1)=v(i,1) |
---|
1172 | 420 continue |
---|
1173 | |
---|
1174 | do 440 k=2,nl+1 |
---|
1175 | do 430 i=1,ncum |
---|
1176 | qp(i,k)=q(i,k-1) |
---|
1177 | up(i,k)=u(i,k-1) |
---|
1178 | vp(i,k)=v(i,k-1) |
---|
1179 | 430 continue |
---|
1180 | 440 continue |
---|
1181 | |
---|
1182 | |
---|
1183 | !c *** Check whether ep(inb)=0, if so, skip precipitating *** |
---|
1184 | !c *** downdraft calculation *** |
---|
1185 | !c |
---|
1186 | !c |
---|
1187 | !c *** Integrate liquid water equation to find condensed water *** |
---|
1188 | !c *** and condensed water flux *** |
---|
1189 | !c |
---|
1190 | !c |
---|
1191 | do 890 i=1,ncum |
---|
1192 | jtt(i)=2 |
---|
1193 | if(ep(i,inb(i)).le.0.0001)iflag(i)=2 |
---|
1194 | if(iflag(i).eq.0)then |
---|
1195 | lwork(i)=.true. |
---|
1196 | else |
---|
1197 | lwork(i)=.false. |
---|
1198 | endif |
---|
1199 | 890 continue |
---|
1200 | !c |
---|
1201 | !c *** Begin downdraft loop *** |
---|
1202 | !c |
---|
1203 | !c |
---|
1204 | call zilch(wdtrain,ncum) |
---|
1205 | do 899 i=nl+1,1,-1 |
---|
1206 | !c |
---|
1207 | num1=0 |
---|
1208 | do 879 ij=1,ncum |
---|
1209 | if((i.le.inb(ij)).and.lwork(ij))num1=num1+1 |
---|
1210 | 879 continue |
---|
1211 | if(num1.le.0)go to 899 |
---|
1212 | !c |
---|
1213 | !c |
---|
1214 | !c *** Calculate detrained precipitation *** |
---|
1215 | !c |
---|
1216 | do 891 ij=1,ncum |
---|
1217 | if((i.le.inb(ij)).and.(lwork(ij)))then |
---|
1218 | wdtrain(ij)=g*ep(ij,i)*m(ij,i)*clw(ij,i) |
---|
1219 | endif |
---|
1220 | 891 continue |
---|
1221 | !c |
---|
1222 | if(i.gt.1)then |
---|
1223 | do 893 j=1,i-1 |
---|
1224 | do 892 ij=1,ncum |
---|
1225 | if((i.le.inb(ij)).and.(lwork(ij)))then |
---|
1226 | awat=elij(ij,j,i)-(1.-ep(ij,i))*clw(ij,i) |
---|
1227 | awat=max(0.0,awat) |
---|
1228 | wdtrain(ij)=wdtrain(ij)+g*awat*ment(ij,j,i) |
---|
1229 | endif |
---|
1230 | 892 continue |
---|
1231 | 893 continue |
---|
1232 | endif |
---|
1233 | !c |
---|
1234 | !c *** Find rain water and evaporation using provisional *** |
---|
1235 | !c *** estimates of qp(i)and qp(i-1) *** |
---|
1236 | !c |
---|
1237 | !c |
---|
1238 | !c *** Value of terminal velocity and coeffecient of evaporation for snow *** |
---|
1239 | !c |
---|
1240 | do 894 ij=1,ncum |
---|
1241 | if((i.le.inb(ij)).and.(lwork(ij)))then |
---|
1242 | coeff=coeffs |
---|
1243 | wt(ij,i)=omtsnow |
---|
1244 | !c |
---|
1245 | !c *** Value of terminal velocity and coeffecient of evaporation for rain *** |
---|
1246 | !c |
---|
1247 | if(t(ij,i).gt.273.0)then |
---|
1248 | coeff=coeffr |
---|
1249 | wt(ij,i)=omtrain |
---|
1250 | endif |
---|
1251 | qsm=0.5*(q(ij,i)+qp(ij,i+1)) |
---|
1252 | afac=coeff*ph(ij,i)*(qs(ij,i)-qsm) & |
---|
1253 | & /(1.0e4+2.0e3*ph(ij,i)*qs(ij,i)) |
---|
1254 | afac=max(afac,0.0) |
---|
1255 | sigt=sigp(ij,i) |
---|
1256 | sigt=max(0.0,sigt) |
---|
1257 | sigt=min(1.0,sigt) |
---|
1258 | b6=100.*(ph(ij,i)-ph(ij,i+1))*sigt*afac/wt(ij,i) |
---|
1259 | c6=(water(ij,i+1)*wt(ij,i+1)+wdtrain(ij)/sigd)/wt(ij,i) |
---|
1260 | revap=0.5*(-b6+sqrt(b6*b6+4.*c6)) |
---|
1261 | evap(ij,i)=sigt*afac*revap |
---|
1262 | water(ij,i)=revap*revap |
---|
1263 | !c |
---|
1264 | !c *** Calculate precipitating downdraft mass flux under *** |
---|
1265 | !c *** hydrostatic approximation *** |
---|
1266 | !c |
---|
1267 | if(i.gt.1)then |
---|
1268 | dhdp=(h(ij,i)-h(ij,i-1))/(p(ij,i-1)-p(ij,i)) |
---|
1269 | dhdp=max(dhdp,10.0) |
---|
1270 | mp(ij,i)=100.*ginv*lv(ij,i)*sigd*evap(ij,i)/dhdp |
---|
1271 | mp(ij,i)=max(mp(ij,i),0.0) |
---|
1272 | !c |
---|
1273 | !c *** Add small amount of inertia to downdraft *** |
---|
1274 | !c |
---|
1275 | fac=20.0/(ph(ij,i-1)-ph(ij,i)) |
---|
1276 | mp(ij,i)=(fac*mp(ij,i+1)+mp(ij,i))/(1.+fac) |
---|
1277 | !c |
---|
1278 | !c *** Force mp to decrease linearly to zero *** |
---|
1279 | !c *** between about 950 mb and the surface *** |
---|
1280 | !c |
---|
1281 | if(p(ij,i).gt.(0.949*p(ij,1)))then |
---|
1282 | jtt(ij)=max(jtt(ij),i) |
---|
1283 | mp(ij,i)=mp(ij,jtt(ij))*(p(ij,1)-p(ij,i)) & |
---|
1284 | & /(p(ij,1)-p(ij,jtt(ij))) |
---|
1285 | endif |
---|
1286 | endif |
---|
1287 | !c |
---|
1288 | !c *** Find mixing ratio of precipitating downdraft *** |
---|
1289 | !c |
---|
1290 | if(i.ne.inb(ij))then |
---|
1291 | if(i.eq.1)then |
---|
1292 | qstm=qs(ij,1) |
---|
1293 | else |
---|
1294 | qstm=qs(ij,i-1) |
---|
1295 | endif |
---|
1296 | if(mp(ij,i).gt.mp(ij,i+1))then |
---|
1297 | rat=mp(ij,i+1)/mp(ij,i) |
---|
1298 | qp(ij,i)=qp(ij,i+1)*rat+q(ij,i)*(1.0-rat)+100.*ginv* & |
---|
1299 | & sigd*(ph(ij,i)-ph(ij,i+1))*(evap(ij,i)/mp(ij,i)) |
---|
1300 | up(ij,i)=up(ij,i+1)*rat+u(ij,i)*(1.-rat) |
---|
1301 | vp(ij,i)=vp(ij,i+1)*rat+v(ij,i)*(1.-rat) |
---|
1302 | else |
---|
1303 | if(mp(ij,i+1).gt.0.0)then |
---|
1304 | qp(ij,i)=(gz(ij,i+1)-gz(ij,i) & |
---|
1305 | & +qp(ij,i+1)*(lv(ij,i+1)+t(ij,i+1) & |
---|
1306 | & *(cl-cpd))+cpd*(t(ij,i+1)-t(ij,i))) & |
---|
1307 | & /(lv(ij,i)+t(ij,i)*(cl-cpd)) |
---|
1308 | up(ij,i)=up(ij,i+1) |
---|
1309 | vp(ij,i)=vp(ij,i+1) |
---|
1310 | endif |
---|
1311 | endif |
---|
1312 | qp(ij,i)=min(qp(ij,i),qstm) |
---|
1313 | qp(ij,i)=max(qp(ij,i),0.0) |
---|
1314 | endif |
---|
1315 | endif |
---|
1316 | 894 continue |
---|
1317 | 899 continue |
---|
1318 | !c |
---|
1319 | return |
---|
1320 | end SUBROUTINE cv_unsat |
---|
1321 | |
---|
1322 | SUBROUTINE cv_yield(nloc,ncum,nd,nk,icb,inb,delt & |
---|
1323 | & ,t,q,u,v,gz,p,ph,h,hp,lv,cpn & |
---|
1324 | & ,ep,clw,frac,m,mp,qp,up,vp & |
---|
1325 | & ,wt,water,evap & |
---|
1326 | & ,ment,qent,uent,vent,nent,elij & |
---|
1327 | & ,tv,tvp & |
---|
1328 | & ,iflag,wd,qprime,tprime & |
---|
1329 | & ,precip,cbmf,ft,fq,fu,fv,Ma,qcondc) |
---|
1330 | implicit none |
---|
1331 | |
---|
1332 | #include "cvthermo.h" |
---|
1333 | #include "cvparam.h" |
---|
1334 | |
---|
1335 | !c inputs |
---|
1336 | integer ncum, nd, nloc |
---|
1337 | integer nk(nloc), icb(nloc), inb(nloc) |
---|
1338 | integer nent(nloc,nd) |
---|
1339 | real delt |
---|
1340 | real t(nloc,nd), q(nloc,nd), u(nloc,nd), v(nloc,nd) |
---|
1341 | real gz(nloc,nd) |
---|
1342 | real p(nloc,nd), ph(nloc,nd+1), h(nloc,nd) |
---|
1343 | real hp(nloc,nd), lv(nloc,nd) |
---|
1344 | real cpn(nloc,nd), ep(nloc,nd), clw(nloc,nd), frac(nloc) |
---|
1345 | real m(nloc,nd), mp(nloc,nd), qp(nloc,nd) |
---|
1346 | real up(nloc,nd), vp(nloc,nd) |
---|
1347 | real wt(nloc,nd), water(nloc,nd), evap(nloc,nd) |
---|
1348 | real ment(nloc,nd,nd), qent(nloc,nd,nd), elij(nloc,nd,nd) |
---|
1349 | real uent(nloc,nd,nd), vent(nloc,nd,nd) |
---|
1350 | real tv(nloc,nd), tvp(nloc,nd) |
---|
1351 | |
---|
1352 | !c outputs |
---|
1353 | integer iflag(nloc) ! also an input |
---|
1354 | real cbmf(nloc) ! also an input |
---|
1355 | real wd(nloc), tprime(nloc), qprime(nloc) |
---|
1356 | real precip(nloc) |
---|
1357 | real ft(nloc,nd), fq(nloc,nd), fu(nloc,nd), fv(nloc,nd) |
---|
1358 | real Ma(nloc,nd) |
---|
1359 | real qcondc(nloc,nd) |
---|
1360 | |
---|
1361 | !c local variables |
---|
1362 | integer i,j,ij,k,num1 |
---|
1363 | real dpinv,cpinv,awat,fqold,ftold,fuold,fvold,delti |
---|
1364 | real work(nloc), am(nloc),amp1(nloc),ad(nloc) |
---|
1365 | real ents(nloc), uav(nloc),vav(nloc),lvcp(nloc,nd) |
---|
1366 | real qcond(nloc,nd), nqcond(nloc,nd), wa(nloc,nd) ! cld |
---|
1367 | real siga(nloc,nd), ax(nloc,nd), mac(nloc,nd) ! cld |
---|
1368 | |
---|
1369 | |
---|
1370 | !c -- initializations: |
---|
1371 | |
---|
1372 | delti = 1.0/delt |
---|
1373 | |
---|
1374 | do 160 i=1,ncum |
---|
1375 | precip(i)=0.0 |
---|
1376 | wd(i)=0.0 |
---|
1377 | tprime(i)=0.0 |
---|
1378 | qprime(i)=0.0 |
---|
1379 | do 170 k=1,nl+1 |
---|
1380 | ft(i,k)=0.0 |
---|
1381 | fu(i,k)=0.0 |
---|
1382 | fv(i,k)=0.0 |
---|
1383 | fq(i,k)=0.0 |
---|
1384 | lvcp(i,k)=lv(i,k)/cpn(i,k) |
---|
1385 | qcondc(i,k)=0.0 ! cld |
---|
1386 | qcond(i,k)=0.0 ! cld |
---|
1387 | nqcond(i,k)=0.0 ! cld |
---|
1388 | 170 continue |
---|
1389 | 160 continue |
---|
1390 | |
---|
1391 | !c |
---|
1392 | !c *** Calculate surface precipitation in mm/day *** |
---|
1393 | !c |
---|
1394 | do 1190 i=1,ncum |
---|
1395 | if(iflag(i).le.1)then |
---|
1396 | !cc precip(i)=precip(i)+wt(i,1)*sigd*water(i,1)*3600.*24000. |
---|
1397 | !cc & /(rowl*g) |
---|
1398 | !cc precip(i)=precip(i)*delt/86400. |
---|
1399 | precip(i) = wt(i,1)*sigd*water(i,1)*86400/g |
---|
1400 | endif |
---|
1401 | 1190 continue |
---|
1402 | !c |
---|
1403 | !c |
---|
1404 | !c *** Calculate downdraft velocity scale and surface temperature and *** |
---|
1405 | !c *** water vapor fluctuations *** |
---|
1406 | !c |
---|
1407 | do i=1,ncum |
---|
1408 | wd(i)=betad*abs(mp(i,icb(i)))*0.01*rrd*t(i,icb(i)) & |
---|
1409 | & /(sigd*p(i,icb(i))) |
---|
1410 | qprime(i)=0.5*(qp(i,1)-q(i,1)) |
---|
1411 | tprime(i)=lv0*qprime(i)/cpd |
---|
1412 | enddo |
---|
1413 | !c |
---|
1414 | !c *** Calculate tendencies of lowest level potential temperature *** |
---|
1415 | !c *** and mixing ratio *** |
---|
1416 | !c |
---|
1417 | do 1200 i=1,ncum |
---|
1418 | work(i)=0.01/(ph(i,1)-ph(i,2)) |
---|
1419 | am(i)=0.0 |
---|
1420 | 1200 continue |
---|
1421 | do 1220 k=2,nl |
---|
1422 | do 1210 i=1,ncum |
---|
1423 | if((nk(i).eq.1).and.(k.le.inb(i)).and.(nk(i).eq.1))then |
---|
1424 | am(i)=am(i)+m(i,k) |
---|
1425 | endif |
---|
1426 | 1210 continue |
---|
1427 | 1220 continue |
---|
1428 | do 1240 i=1,ncum |
---|
1429 | if((g*work(i)*am(i)).ge.delti)iflag(i)=1 |
---|
1430 | ft(i,1)=ft(i,1)+g*work(i)*am(i)*(t(i,2)-t(i,1) & |
---|
1431 | & +(gz(i,2)-gz(i,1))/cpn(i,1)) |
---|
1432 | ft(i,1)=ft(i,1)-lvcp(i,1)*sigd*evap(i,1) |
---|
1433 | ft(i,1)=ft(i,1)+sigd*wt(i,2)*(cl-cpd)*water(i,2)*(t(i,2) & |
---|
1434 | & -t(i,1))*work(i)/cpn(i,1) |
---|
1435 | fq(i,1)=fq(i,1)+g*mp(i,2)*(qp(i,2)-q(i,1))* & |
---|
1436 | & work(i)+sigd*evap(i,1) |
---|
1437 | fq(i,1)=fq(i,1)+g*am(i)*(q(i,2)-q(i,1))*work(i) |
---|
1438 | fu(i,1)=fu(i,1)+g*work(i)*(mp(i,2)*(up(i,2)-u(i,1)) & |
---|
1439 | & +am(i)*(u(i,2)-u(i,1))) |
---|
1440 | fv(i,1)=fv(i,1)+g*work(i)*(mp(i,2)*(vp(i,2)-v(i,1)) & |
---|
1441 | & +am(i)*(v(i,2)-v(i,1))) |
---|
1442 | 1240 continue |
---|
1443 | do 1260 j=2,nl |
---|
1444 | do 1250 i=1,ncum |
---|
1445 | if(j.le.inb(i))then |
---|
1446 | fq(i,1)=fq(i,1) & |
---|
1447 | & +g*work(i)*ment(i,j,1)*(qent(i,j,1)-q(i,1)) |
---|
1448 | fu(i,1)=fu(i,1) & |
---|
1449 | & +g*work(i)*ment(i,j,1)*(uent(i,j,1)-u(i,1)) |
---|
1450 | fv(i,1)=fv(i,1) & |
---|
1451 | & +g*work(i)*ment(i,j,1)*(vent(i,j,1)-v(i,1)) |
---|
1452 | endif |
---|
1453 | 1250 continue |
---|
1454 | 1260 continue |
---|
1455 | !c |
---|
1456 | !c *** Calculate tendencies of potential temperature and mixing ratio *** |
---|
1457 | !c *** at levels above the lowest level *** |
---|
1458 | !c |
---|
1459 | !c *** First find the net saturated updraft and downdraft mass fluxes *** |
---|
1460 | !c *** through each level *** |
---|
1461 | !c |
---|
1462 | do 1500 i=2,nl+1 |
---|
1463 | !c |
---|
1464 | num1=0 |
---|
1465 | do 1265 ij=1,ncum |
---|
1466 | if(i.le.inb(ij))num1=num1+1 |
---|
1467 | 1265 continue |
---|
1468 | if(num1.le.0)go to 1500 |
---|
1469 | !c |
---|
1470 | call zilch(amp1,ncum) |
---|
1471 | call zilch(ad,ncum) |
---|
1472 | !c |
---|
1473 | do 1280 k=i+1,nl+1 |
---|
1474 | do 1270 ij=1,ncum |
---|
1475 | if((i.ge.nk(ij)).and.(i.le.inb(ij)) & |
---|
1476 | & .and.(k.le.(inb(ij)+1)))then |
---|
1477 | amp1(ij)=amp1(ij)+m(ij,k) |
---|
1478 | endif |
---|
1479 | 1270 continue |
---|
1480 | 1280 continue |
---|
1481 | !c |
---|
1482 | do 1310 k=1,i |
---|
1483 | do 1300 j=i+1,nl+1 |
---|
1484 | do 1290 ij=1,ncum |
---|
1485 | if((j.le.(inb(ij)+1)).and.(i.le.inb(ij)))then |
---|
1486 | amp1(ij)=amp1(ij)+ment(ij,k,j) |
---|
1487 | endif |
---|
1488 | 1290 continue |
---|
1489 | 1300 continue |
---|
1490 | 1310 continue |
---|
1491 | do 1340 k=1,i-1 |
---|
1492 | do 1330 j=i,nl+1 |
---|
1493 | do 1320 ij=1,ncum |
---|
1494 | if((i.le.inb(ij)).and.(j.le.inb(ij)))then |
---|
1495 | ad(ij)=ad(ij)+ment(ij,j,k) |
---|
1496 | endif |
---|
1497 | 1320 continue |
---|
1498 | 1330 continue |
---|
1499 | 1340 continue |
---|
1500 | !c |
---|
1501 | do 1350 ij=1,ncum |
---|
1502 | if(i.le.inb(ij))then |
---|
1503 | dpinv=0.01/(ph(ij,i)-ph(ij,i+1)) |
---|
1504 | cpinv=1.0/cpn(ij,i) |
---|
1505 | !c |
---|
1506 | ft(ij,i)=ft(ij,i) & |
---|
1507 | & +g*dpinv*(amp1(ij)*(t(ij,i+1)-t(ij,i) & |
---|
1508 | & +(gz(ij,i+1)-gz(ij,i))*cpinv) & |
---|
1509 | & -ad(ij)*(t(ij,i)-t(ij,i-1)+(gz(ij,i)-gz(ij,i-1))*cpinv)) & |
---|
1510 | & -sigd*lvcp(ij,i)*evap(ij,i) |
---|
1511 | ft(ij,i)=ft(ij,i)+g*dpinv*ment(ij,i,i)*(hp(ij,i)-h(ij,i)+ & |
---|
1512 | & t(ij,i)*(cpv-cpd)*(q(ij,i)-qent(ij,i,i)))*cpinv |
---|
1513 | ft(ij,i)=ft(ij,i)+sigd*wt(ij,i+1)*(cl-cpd)*water(ij,i+1)* & |
---|
1514 | & (t(ij,i+1)-t(ij,i))*dpinv*cpinv |
---|
1515 | fq(ij,i)=fq(ij,i)+g*dpinv*(amp1(ij)*(q(ij,i+1)-q(ij,i))- & |
---|
1516 | & ad(ij)*(q(ij,i)-q(ij,i-1))) |
---|
1517 | fu(ij,i)=fu(ij,i)+g*dpinv*(amp1(ij)*(u(ij,i+1)-u(ij,i))- & |
---|
1518 | & ad(ij)*(u(ij,i)-u(ij,i-1))) |
---|
1519 | fv(ij,i)=fv(ij,i)+g*dpinv*(amp1(ij)*(v(ij,i+1)-v(ij,i))- & |
---|
1520 | & ad(ij)*(v(ij,i)-v(ij,i-1))) |
---|
1521 | endif |
---|
1522 | 1350 continue |
---|
1523 | do 1370 k=1,i-1 |
---|
1524 | do 1360 ij=1,ncum |
---|
1525 | if(i.le.inb(ij))then |
---|
1526 | awat=elij(ij,k,i)-(1.-ep(ij,i))*clw(ij,i) |
---|
1527 | awat=max(awat,0.0) |
---|
1528 | fq(ij,i)=fq(ij,i) & |
---|
1529 | & +g*dpinv*ment(ij,k,i)*(qent(ij,k,i)-awat-q(ij,i)) |
---|
1530 | fu(ij,i)=fu(ij,i) & |
---|
1531 | & +g*dpinv*ment(ij,k,i)*(uent(ij,k,i)-u(ij,i)) |
---|
1532 | fv(ij,i)=fv(ij,i) & |
---|
1533 | & +g*dpinv*ment(ij,k,i)*(vent(ij,k,i)-v(ij,i)) |
---|
1534 | !c (saturated updrafts resulting from mixing) ! cld |
---|
1535 | qcond(ij,i)=qcond(ij,i)+(elij(ij,k,i)-awat) ! cld |
---|
1536 | nqcond(ij,i)=nqcond(ij,i)+1. ! cld |
---|
1537 | endif |
---|
1538 | 1360 continue |
---|
1539 | 1370 continue |
---|
1540 | do 1390 k=i,nl+1 |
---|
1541 | do 1380 ij=1,ncum |
---|
1542 | if((i.le.inb(ij)).and.(k.le.inb(ij)))then |
---|
1543 | fq(ij,i)=fq(ij,i) & |
---|
1544 | & +g*dpinv*ment(ij,k,i)*(qent(ij,k,i)-q(ij,i)) |
---|
1545 | fu(ij,i)=fu(ij,i) & |
---|
1546 | & +g*dpinv*ment(ij,k,i)*(uent(ij,k,i)-u(ij,i)) |
---|
1547 | fv(ij,i)=fv(ij,i) & |
---|
1548 | & +g*dpinv*ment(ij,k,i)*(vent(ij,k,i)-v(ij,i)) |
---|
1549 | endif |
---|
1550 | 1380 continue |
---|
1551 | 1390 continue |
---|
1552 | do 1400 ij=1,ncum |
---|
1553 | if(i.le.inb(ij))then |
---|
1554 | fq(ij,i)=fq(ij,i) & |
---|
1555 | & +sigd*evap(ij,i)+g*(mp(ij,i+1)* & |
---|
1556 | & (qp(ij,i+1)-q(ij,i)) & |
---|
1557 | & -mp(ij,i)*(qp(ij,i)-q(ij,i-1)))*dpinv |
---|
1558 | fu(ij,i)=fu(ij,i) & |
---|
1559 | & +g*(mp(ij,i+1)*(up(ij,i+1)-u(ij,i))-mp(ij,i)* & |
---|
1560 | & (up(ij,i)-u(ij,i-1)))*dpinv |
---|
1561 | fv(ij,i)=fv(ij,i) & |
---|
1562 | & +g*(mp(ij,i+1)*(vp(ij,i+1)-v(ij,i))-mp(ij,i)* & |
---|
1563 | & (vp(ij,i)-v(ij,i-1)))*dpinv |
---|
1564 | !C (saturated downdrafts resulting from mixing) ! cld |
---|
1565 | do k=i+1,inb(ij) ! cld |
---|
1566 | qcond(ij,i)=qcond(ij,i)+elij(ij,k,i) ! cld |
---|
1567 | nqcond(ij,i)=nqcond(ij,i)+1. ! cld |
---|
1568 | enddo ! cld |
---|
1569 | !C (particular case: no detraining level is found) ! cld |
---|
1570 | if (nent(ij,i).eq.0) then ! cld |
---|
1571 | qcond(ij,i)=qcond(ij,i)+(1.-ep(ij,i))*clw(ij,i) ! cld |
---|
1572 | nqcond(ij,i)=nqcond(ij,i)+1. ! cld |
---|
1573 | endif ! cld |
---|
1574 | if (nqcond(ij,i).ne.0.) then ! cld |
---|
1575 | qcond(ij,i)=qcond(ij,i)/nqcond(ij,i) ! cld |
---|
1576 | endif ! cld |
---|
1577 | endif |
---|
1578 | 1400 continue |
---|
1579 | 1500 continue |
---|
1580 | !c |
---|
1581 | !c *** Adjust tendencies at top of convection layer to reflect *** |
---|
1582 | !c *** actual position of the level zero cape *** |
---|
1583 | !c |
---|
1584 | do 503 ij=1,ncum |
---|
1585 | fqold=fq(ij,inb(ij)) |
---|
1586 | fq(ij,inb(ij))=fq(ij,inb(ij))*(1.-frac(ij)) |
---|
1587 | fq(ij,inb(ij)-1)=fq(ij,inb(ij)-1) & |
---|
1588 | & +frac(ij)*fqold*((ph(ij,inb(ij))-ph(ij,inb(ij)+1))/ & |
---|
1589 | & (ph(ij,inb(ij)-1)-ph(ij,inb(ij))))*lv(ij,inb(ij)) & |
---|
1590 | & /lv(ij,inb(ij)-1) |
---|
1591 | ftold=ft(ij,inb(ij)) |
---|
1592 | ft(ij,inb(ij))=ft(ij,inb(ij))*(1.-frac(ij)) |
---|
1593 | ft(ij,inb(ij)-1)=ft(ij,inb(ij)-1) & |
---|
1594 | & +frac(ij)*ftold*((ph(ij,inb(ij))-ph(ij,inb(ij)+1))/ & |
---|
1595 | & (ph(ij,inb(ij)-1)-ph(ij,inb(ij))))*cpn(ij,inb(ij)) & |
---|
1596 | & /cpn(ij,inb(ij)-1) |
---|
1597 | fuold=fu(ij,inb(ij)) |
---|
1598 | fu(ij,inb(ij))=fu(ij,inb(ij))*(1.-frac(ij)) |
---|
1599 | fu(ij,inb(ij)-1)=fu(ij,inb(ij)-1) & |
---|
1600 | & +frac(ij)*fuold*((ph(ij,inb(ij))-ph(ij,inb(ij)+1))/ & |
---|
1601 | & (ph(ij,inb(ij)-1)-ph(ij,inb(ij)))) |
---|
1602 | fvold=fv(ij,inb(ij)) |
---|
1603 | fv(ij,inb(ij))=fv(ij,inb(ij))*(1.-frac(ij)) |
---|
1604 | fv(ij,inb(ij)-1)=fv(ij,inb(ij)-1) & |
---|
1605 | & +frac(ij)*fvold*((ph(ij,inb(ij))-ph(ij,inb(ij)+1))/ & |
---|
1606 | & (ph(ij,inb(ij)-1)-ph(ij,inb(ij)))) |
---|
1607 | 503 continue |
---|
1608 | !c |
---|
1609 | !c *** Very slightly adjust tendencies to force exact *** |
---|
1610 | !c *** enthalpy, momentum and tracer conservation *** |
---|
1611 | !c |
---|
1612 | do 682 ij=1,ncum |
---|
1613 | ents(ij)=0.0 |
---|
1614 | uav(ij)=0.0 |
---|
1615 | vav(ij)=0.0 |
---|
1616 | do 681 i=1,inb(ij) |
---|
1617 | ents(ij)=ents(ij) & |
---|
1618 | & +(cpn(ij,i)*ft(ij,i)+lv(ij,i)*fq(ij,i))*(ph(ij,i)-ph(ij,i+1)) |
---|
1619 | uav(ij)=uav(ij)+fu(ij,i)*(ph(ij,i)-ph(ij,i+1)) |
---|
1620 | vav(ij)=vav(ij)+fv(ij,i)*(ph(ij,i)-ph(ij,i+1)) |
---|
1621 | 681 continue |
---|
1622 | 682 continue |
---|
1623 | do 683 ij=1,ncum |
---|
1624 | ents(ij)=ents(ij)/(ph(ij,1)-ph(ij,inb(ij)+1)) |
---|
1625 | uav(ij)=uav(ij)/(ph(ij,1)-ph(ij,inb(ij)+1)) |
---|
1626 | vav(ij)=vav(ij)/(ph(ij,1)-ph(ij,inb(ij)+1)) |
---|
1627 | 683 continue |
---|
1628 | do 642 ij=1,ncum |
---|
1629 | do 641 i=1,inb(ij) |
---|
1630 | ft(ij,i)=ft(ij,i)-ents(ij)/cpn(ij,i) |
---|
1631 | fu(ij,i)=(1.-cu)*(fu(ij,i)-uav(ij)) |
---|
1632 | fv(ij,i)=(1.-cu)*(fv(ij,i)-vav(ij)) |
---|
1633 | 641 continue |
---|
1634 | 642 continue |
---|
1635 | !c |
---|
1636 | do 1810 k=1,nl+1 |
---|
1637 | do 1800 i=1,ncum |
---|
1638 | if((q(i,k)+delt*fq(i,k)).lt.0.0)iflag(i)=10 |
---|
1639 | 1800 continue |
---|
1640 | 1810 continue |
---|
1641 | !c |
---|
1642 | !c |
---|
1643 | do 1900 i=1,ncum |
---|
1644 | if(iflag(i).gt.2)then |
---|
1645 | precip(i)=0.0 |
---|
1646 | cbmf(i)=0.0 |
---|
1647 | endif |
---|
1648 | 1900 continue |
---|
1649 | do 1920 k=1,nl |
---|
1650 | do 1910 i=1,ncum |
---|
1651 | if(iflag(i).gt.2)then |
---|
1652 | ft(i,k)=0.0 |
---|
1653 | fq(i,k)=0.0 |
---|
1654 | fu(i,k)=0.0 |
---|
1655 | fv(i,k)=0.0 |
---|
1656 | qcondc(i,k)=0.0 ! cld |
---|
1657 | endif |
---|
1658 | 1910 continue |
---|
1659 | 1920 continue |
---|
1660 | |
---|
1661 | do k=1,nl+1 |
---|
1662 | do i=1,ncum |
---|
1663 | Ma(i,k) = 0. |
---|
1664 | enddo |
---|
1665 | enddo |
---|
1666 | do k=nl,1,-1 |
---|
1667 | do i=1,ncum |
---|
1668 | Ma(i,k) = Ma(i,k+1)+m(i,k) |
---|
1669 | enddo |
---|
1670 | enddo |
---|
1671 | |
---|
1672 | !c |
---|
1673 | !c *** diagnose the in-cloud mixing ratio *** ! cld |
---|
1674 | !c *** of condensed water *** ! cld |
---|
1675 | !c ! cld |
---|
1676 | DO ij=1,ncum ! cld |
---|
1677 | do i=1,nd ! cld |
---|
1678 | mac(ij,i)=0.0 ! cld |
---|
1679 | wa(ij,i)=0.0 ! cld |
---|
1680 | siga(ij,i)=0.0 ! cld |
---|
1681 | enddo ! cld |
---|
1682 | do i=nk(ij),inb(ij) ! cld |
---|
1683 | do k=i+1,inb(ij)+1 ! cld |
---|
1684 | mac(ij,i)=mac(ij,i)+m(ij,k) ! cld |
---|
1685 | enddo ! cld |
---|
1686 | enddo ! cld |
---|
1687 | do i=icb(ij),inb(ij)-1 ! cld |
---|
1688 | ax(ij,i)=0. ! cld |
---|
1689 | do j=icb(ij),i ! cld |
---|
1690 | ax(ij,i)=ax(ij,i)+rrd*(tvp(ij,j)-tv(ij,j)) & ! cld |
---|
1691 | & *(ph(ij,j)-ph(ij,j+1))/p(ij,j) ! cld |
---|
1692 | enddo ! cld |
---|
1693 | if (ax(ij,i).gt.0.0) then ! cld |
---|
1694 | wa(ij,i)=sqrt(2.*ax(ij,i)) ! cld |
---|
1695 | endif ! cld |
---|
1696 | enddo ! cld |
---|
1697 | do i=1,nl ! cld |
---|
1698 | if (wa(ij,i).gt.0.0) & ! cld |
---|
1699 | & siga(ij,i)=mac(ij,i)/wa(ij,i) & ! cld |
---|
1700 | & *rrd*tvp(ij,i)/p(ij,i)/100./delta ! cld |
---|
1701 | siga(ij,i) = min(siga(ij,i),1.0) ! cld |
---|
1702 | qcondc(ij,i)=siga(ij,i)*clw(ij,i)*(1.-ep(ij,i)) & ! cld |
---|
1703 | & + (1.-siga(ij,i))*qcond(ij,i) ! cld |
---|
1704 | enddo ! cld |
---|
1705 | ENDDO ! cld |
---|
1706 | |
---|
1707 | return |
---|
1708 | end SUBROUTINE cv_yield |
---|
1709 | |
---|
1710 | SUBROUTINE cv_uncompress(nloc,len,ncum,nd,idcum & |
---|
1711 | & ,iflag & |
---|
1712 | & ,precip,cbmf & |
---|
1713 | & ,ft,fq,fu,fv & |
---|
1714 | & ,Ma,qcondc & |
---|
1715 | & ,iflag1 & |
---|
1716 | & ,precip1,cbmf1 & |
---|
1717 | & ,ft1,fq1,fu1,fv1 & |
---|
1718 | & ,Ma1,qcondc1 & |
---|
1719 | & ) |
---|
1720 | implicit none |
---|
1721 | |
---|
1722 | #include "cvparam.h" |
---|
1723 | |
---|
1724 | !c inputs: |
---|
1725 | integer len, ncum, nd, nloc |
---|
1726 | integer idcum(nloc) |
---|
1727 | integer iflag(nloc) |
---|
1728 | real precip(nloc), cbmf(nloc) |
---|
1729 | real ft(nloc,nd), fq(nloc,nd), fu(nloc,nd), fv(nloc,nd) |
---|
1730 | real Ma(nloc,nd) |
---|
1731 | real qcondc(nloc,nd) !cld |
---|
1732 | |
---|
1733 | !c outputs: |
---|
1734 | integer iflag1(len) |
---|
1735 | real precip1(len), cbmf1(len) |
---|
1736 | real ft1(len,nd), fq1(len,nd), fu1(len,nd), fv1(len,nd) |
---|
1737 | real Ma1(len,nd) |
---|
1738 | real qcondc1(len,nd) !cld |
---|
1739 | |
---|
1740 | !c local variables: |
---|
1741 | integer i,k |
---|
1742 | |
---|
1743 | do 2000 i=1,ncum |
---|
1744 | precip1(idcum(i))=precip(i) |
---|
1745 | cbmf1(idcum(i))=cbmf(i) |
---|
1746 | iflag1(idcum(i))=iflag(i) |
---|
1747 | 2000 continue |
---|
1748 | |
---|
1749 | do 2020 k=1,nl |
---|
1750 | do 2010 i=1,ncum |
---|
1751 | ft1(idcum(i),k)=ft(i,k) |
---|
1752 | fq1(idcum(i),k)=fq(i,k) |
---|
1753 | fu1(idcum(i),k)=fu(i,k) |
---|
1754 | fv1(idcum(i),k)=fv(i,k) |
---|
1755 | Ma1(idcum(i),k)=Ma(i,k) |
---|
1756 | qcondc1(idcum(i),k)=qcondc(i,k) |
---|
1757 | 2010 continue |
---|
1758 | 2020 continue |
---|
1759 | |
---|
1760 | return |
---|
1761 | end SUBROUTINE cv_uncompress |
---|
1762 | |
---|