1 | ! |
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2 | ! $Id: stratosphere_mask.F90 2787 2017-01-30 16:54:45Z lguez $ |
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3 | ! |
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4 | SUBROUTINE stratosphere_mask(t_seri, pplay, xlat) |
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5 | |
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6 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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7 | ! |
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8 | ! determination of tropopause height and temperature from gridded temperature data |
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9 | ! |
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10 | ! reference: Reichler, T., M. Dameris, and R. Sausen (2003): |
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11 | ! modified: 6/28/06 tjr |
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12 | ! adapted to LMDZ by C. Kleinschmitt (2016-02-15) |
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13 | ! |
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14 | ! input: temp(nlon,nlat,nlev) 3D-temperature field |
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15 | ! ps(nlon,nlat) 2D-surface pressure field |
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16 | ! zs(nlon,nlat) 2D-surface height |
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17 | ! nlon grid points in x |
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18 | ! nlat grid points in y |
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19 | ! pfull(nlon,nlat,nlev) full pressure levels in Pa |
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20 | ! plimu upper limit for tropopause pressure |
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21 | ! pliml lower limit for tropopause pressure |
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22 | ! gamma tropopause criterion, e.g. -0.002 K/m |
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23 | ! |
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24 | ! output: tp(nlon, nlat) tropopause pressure in Pa, -999. if undefined |
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25 | ! ttp(nlon, nlat) tropopause temperature in K, -999. if undefined |
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26 | ! ztp(nlon, nlat) tropopause height in m, -999. if undefined |
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27 | ! tperr # of undetermined values |
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28 | ! |
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29 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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30 | |
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31 | USE dimphy |
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32 | USE phys_local_var_mod, ONLY: stratomask |
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33 | #ifdef CPP_StratAer |
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34 | USE phys_local_var_mod, ONLY: p_tropopause |
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35 | #endif |
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36 | USE print_control_mod, ONLY: lunout, prt_level |
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37 | |
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38 | IMPLICIT NONE |
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39 | |
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40 | REAL,DIMENSION(klon,klev),INTENT(IN) :: t_seri ! Temperature |
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41 | REAL,DIMENSION(klon,klev),INTENT(IN) :: pplay ! pression pour le mileu de chaque couche (en Pa) |
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42 | REAL,DIMENSION(klon),INTENT(IN) :: xlat ! latitudes pour chaque point |
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43 | |
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44 | REAL, PARAMETER :: plimu=45000. |
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45 | REAL, PARAMETER :: pliml=7500. |
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46 | REAL, PARAMETER :: gamma=-0.002 |
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47 | LOGICAL, PARAMETER :: dofill=.true. |
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48 | REAL,DIMENSION(klon) :: tp, ttp, ztp |
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49 | REAL,DIMENSION(klev) :: t, p |
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50 | INTEGER :: tperr, i, k, invert, ifil |
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51 | REAL :: ptrp, ttrp, ztrp, psrf, zsrf, pi |
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52 | |
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53 | pi = 4.*ATAN(1.) |
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54 | |
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55 | tperr = 0 |
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56 | DO i=1,klon |
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57 | DO k=1,klev |
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58 | t(k)=t_seri(i,klev+1-k) |
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59 | p(k)=pplay(i,klev+1-k) |
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60 | ENDDO |
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61 | psrf=pplay(i,1) |
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62 | zsrf=0.0 |
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63 | call twmo(klev, t, p, psrf, zsrf, plimu, pliml, gamma, ptrp, ttrp, ztrp) |
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64 | tp(i)=ptrp |
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65 | ttp(i)=ttrp |
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66 | ztp(i)=ztrp |
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67 | IF (ptrp.lt.0.0) THEN |
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68 | tperr = tperr+1 |
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69 | ENDIF |
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70 | ENDDO |
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71 | |
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72 | ! fill holes |
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73 | IF (dofill) THEN |
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74 | ifil=0 |
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75 | DO i=1,klon |
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76 | IF (tp(i).lt.-990.) THEN |
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77 | !set missing values to very simple profile (neighbour averaging too expensive in LMDZ) |
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78 | tp(i)=50000.-20000.*cos(xlat(i)/360.*2.*pi) |
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79 | ifil=ifil+1 |
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80 | ENDIF |
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81 | ENDDO |
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82 | ! |
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83 | IF (ifil.ne.tperr) THEN |
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84 | CALL abort_physic('stratosphere_mask', 'inconsistency',1) |
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85 | ENDIF |
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86 | ENDIF |
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87 | ! |
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88 | DO i=1, klon |
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89 | DO k=1, klev |
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90 | IF (pplay(i,k).LT.tp(i)) THEN |
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91 | stratomask(i,k)=1.0 |
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92 | ELSE |
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93 | stratomask(i,k)=0.0 |
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94 | ENDIF |
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95 | ENDDO |
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96 | ENDDO |
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97 | |
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98 | !--this is only diagnosedd in the case of StratAer |
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99 | !--but it could be useful to LMDz |
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100 | #ifdef CPP_StratAer |
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101 | p_tropopause(:)=tp(:) |
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102 | #endif |
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103 | |
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104 | IF (ifil.gt.0 .and. prt_level >5) THEN |
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105 | write(lunout,*)'Tropopause: number of undetermined values =', ifil |
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106 | ENDIF |
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107 | |
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108 | RETURN |
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109 | END SUBROUTINE stratosphere_mask |
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110 | |
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111 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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112 | ! twmo |
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113 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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114 | |
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115 | subroutine twmo(level, t, p, ps, zs, plimu, pliml, gamma, ptrp, ttrp, ztrp) |
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116 | |
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117 | implicit none |
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118 | |
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119 | include "YOMCST.h" |
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120 | |
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121 | integer,intent(in) :: level |
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122 | real,intent(in),dimension(level):: t, p |
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123 | real,intent(in) :: plimu, pliml, gamma, ps, zs |
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124 | real,intent(out) :: ptrp, ttrp, ztrp |
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125 | |
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126 | real,parameter :: deltaz = 2000.0 |
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127 | |
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128 | real :: faktor |
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129 | real :: pmk, pm, a, b, tm, dtdp, dtdz, dlnp, tdlnp |
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130 | real :: ag, bg, ptph, ttph, a0, b0 |
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131 | real :: pm0, tm0, pmk0, dtdz0 |
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132 | real :: p2km, asum, aquer |
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133 | real :: pmk2, pm2, a2, b2, tm2, dtdp2, dtdz2 |
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134 | integer :: icount, jj, j |
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135 | |
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136 | ptrp=-999.0 |
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137 | ttrp=-999.0 |
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138 | ztrp=-999.0 |
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139 | |
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140 | faktor = -RG/R |
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141 | |
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142 | do j=level,2,-1 |
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143 | |
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144 | ! dt/dz |
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145 | pmk= 0.5 * (p(j-1)**rkappa+p(j)**rkappa) ! p**k at half level |
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146 | pm = pmk**(1./rkappa) ! p at half level |
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147 | a = (t(j-1)-t(j))/(p(j-1)**rkappa-p(j)**rkappa) ! dT/dp^k |
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148 | b = t(j)-(a*p(j)**rkappa) |
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149 | tm = a * pmk + b ! T at half level |
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150 | dtdp = a * rkappa * pm**(rkappa-1.) ! dT/dp at half level |
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151 | dtdz = faktor*dtdp*pm/tm ! dT/dz at half level |
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152 | |
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153 | ! dt/dz valid? |
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154 | if (j.eq.level) go to 999 ! no, start level, initialize first |
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155 | if (dtdz.le.gamma) go to 999 ! no, dt/dz < -2 K/km |
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156 | if (dtdz0.gt.gamma) go to 999 ! no, dt/dz below > -2 K/km |
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157 | if (pm.gt.plimu) go to 999 ! no, pm too low |
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158 | |
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159 | ! dtdz is valid, calculate tropopause pressure ptph |
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160 | ag = (dtdz-dtdz0) / (pmk-pmk0) |
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161 | bg = dtdz0 - (ag * pmk0) |
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162 | ptph = exp(log((gamma-bg)/ag)/rkappa) |
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163 | |
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164 | ! calculate temperature at this ptph assuming linear gamma |
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165 | ! interpolation |
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166 | ttph = tm0 |
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167 | ttph = ttph - (bg * log(pm0) + ag * (pm0**rkappa) /rkappa) / faktor*t(j) |
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168 | ttph = ttph + (bg * log(ptph) + ag * (ptph**rkappa)/rkappa) / faktor*t(j) |
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169 | |
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170 | if (ptph.lt.pliml) go to 999 |
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171 | if (ptph.gt.plimu) go to 999 |
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172 | |
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173 | ! 2nd test: dtdz above 2 km must not exceed gamma |
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174 | p2km = ptph + deltaz*(pm/tm)*faktor ! p at ptph + 2km |
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175 | asum = 0.0 ! dtdz above |
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176 | icount = 0 ! number of levels above |
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177 | |
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178 | ! test until apm < p2km |
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179 | do jj=j,2,-1 |
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180 | |
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181 | pmk2 = .5 * (p(jj-1)**rkappa+p(jj)**rkappa) ! p mean ^kappa |
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182 | pm2 = pmk2**(1/rkappa) ! p mean |
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183 | if(pm2.gt.ptph) go to 110 ! doesn't happen |
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184 | if(pm2.lt.p2km) go to 888 ! ptropo is valid |
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185 | |
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186 | a2 = (t(jj-1)-t(jj)) ! a |
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187 | a2 = a2/(p(jj-1)**rkappa-p(jj)**rkappa) |
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188 | b2 = t(jj)-(a2*p(jj)**rkappa) ! b |
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189 | tm2 = a2 * pmk2 + b2 ! T mean |
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190 | dtdp2 = a2 * rkappa * (pm2**(rkappa-1)) ! dt/dp |
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191 | dtdz2 = faktor*dtdp2*pm2/tm2 |
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192 | asum = asum+dtdz2 |
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193 | icount = icount+1 |
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194 | aquer = asum/float(icount) ! dt/dz mean |
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195 | |
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196 | ! discard ptropo ? |
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197 | if (aquer.le.gamma) go to 999 ! dt/dz above < gamma |
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198 | |
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199 | 110 continue |
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200 | enddo ! test next level |
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201 | |
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202 | 888 continue ! ptph is valid |
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203 | ptrp = ptph |
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204 | ttrp = ttph |
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205 | |
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206 | ! now calculate height of tropopause by integrating hypsometric equation |
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207 | ! from ps to ptrp |
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208 | ! linearly interpolate in p (results are identical to p^kappa) |
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209 | |
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210 | jj = LEVEL ! bottom |
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211 | do while ((P(jj).gt.PS) .or. (T(jj).lt.100)) ! T must be valid too |
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212 | jj=jj-1 |
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213 | enddo |
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214 | |
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215 | DLNP = log(PS/P(jj)) ! from surface pressure |
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216 | TM = T(jj) ! take TM of lowest level (better: extrapolate) |
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217 | TDLNP = TM*DLNP |
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218 | |
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219 | do while ( (JJ.ge.2) .and. (PTRP.lt.P(jj-1)) ) |
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220 | DLNP = log(P(jj)/P(jj-1)) |
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221 | TM = 0.5 * (T(jj) + T(jj-1)) |
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222 | TDLNP = TDLNP + TM*DLNP |
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223 | JJ=JJ-1 |
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224 | enddo |
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225 | |
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226 | DLNP = log(P(jj)/PTRP) ! up to tropopause pressure |
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227 | TM = 0.5 * (T(jj) + TTRP) ! use TTRP to get TM of this level |
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228 | TDLNP = TDLNP + TM*DLNP |
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229 | |
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230 | ZTRP = ZS + TDLNP*R/RG |
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231 | |
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232 | if (ZTRP .lt. 0) then |
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233 | print*,ZTRP |
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234 | print*,PS |
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235 | print*,P |
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236 | print*,T |
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237 | print*,ZS |
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238 | stop |
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239 | endif |
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240 | |
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241 | return |
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242 | |
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243 | 999 continue ! continue search at next higher level |
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244 | tm0 = tm |
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245 | pm0 = pm |
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246 | pmk0 = pmk |
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247 | dtdz0 = dtdz |
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248 | a0 = a |
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249 | b0 = b |
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250 | |
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251 | enddo |
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252 | |
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253 | ! no tropopouse found |
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254 | return |
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255 | end subroutine twmo |
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