1 | program stability |
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2 | |
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3 | ! SL 12/2009: |
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4 | ! This program reads 4D (lon-lat-alt-time) fields recast in log P coordinates |
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5 | ! |
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6 | ! it computes: |
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7 | ! stab -- 4D -- stability |
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8 | ! Ri -- 4D -- Richardson number |
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9 | ! deqc -- 3D -- distance to cyclostrophic equilibrium |
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10 | ! |
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11 | ! Minimal requirements and dependencies: |
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12 | ! The dataset must include the following data: |
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13 | ! - surface pressure and surface geopotential |
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14 | ! - atmospheric temperature |
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15 | ! - zonal and meridional winds |
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16 | ! - altitude above areoid |
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17 | |
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18 | implicit none |
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19 | |
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20 | include "netcdf.inc" ! NetCDF definitions |
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21 | |
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22 | character (len=128) :: infile ! input file name (name_P.nc) |
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23 | character (len=128) :: outfile ! output file name |
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24 | |
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25 | character (len=64) :: text ! to store some text |
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26 | integer infid ! NetCDF input file ID |
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27 | integer outfid ! NetCDF output file ID |
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28 | integer lon_dimid,lat_dimid,alt_dimid,time_dimid ! NetCDF dimension IDs |
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29 | integer lon_varid,lat_varid,alt_varid,time_varid |
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30 | integer,dimension(3) :: datashape3d ! shape of 3D datasets |
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31 | integer,dimension(4) :: datashape4d ! shape of 4D datasets |
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32 | |
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33 | real :: miss_val ! special "missing value" to specify missing data |
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34 | real,parameter :: miss_val_def=-9.99e+33 ! default value for "missing value" |
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35 | real :: pi |
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36 | real,dimension(:),allocatable :: lon ! longitude |
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37 | integer lonlength ! # of grid points along longitude |
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38 | real,dimension(:),allocatable :: lat ! latitude |
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39 | real,dimension(:),allocatable :: coslat ! cos of latitude |
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40 | integer latlength ! # of grid points along latitude |
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41 | real,dimension(:),allocatable :: plev ! Pressure levels (Pa) |
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42 | integer altlength ! # of grid point along altitude (of input datasets) |
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43 | real,dimension(:),allocatable :: time ! time |
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44 | integer timelength ! # of points along time |
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45 | real,dimension(:,:,:),allocatable :: ps ! surface pressure |
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46 | real,dimension(:,:,:,:),allocatable :: temp ! atmospheric temperature |
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47 | real,dimension(:,:,:,:),allocatable :: vitu ! zonal wind (in m/s) |
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48 | real,dimension(:,:,:,:),allocatable :: vitv ! meridional wind (in m/s) |
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49 | real,dimension(:,:,:,:),allocatable :: za ! above areoid levels (m) |
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50 | |
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51 | !!! output variables |
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52 | real,dimension(:,:,:,:),allocatable :: stab ! stability (K/km) |
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53 | real,dimension(:,:,:,:),allocatable :: Ri ! Richardson number |
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54 | real,dimension(:,:,:),allocatable :: deqc ! distance to cyclostrophic equilibrium |
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55 | |
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56 | ! variables prepared for computation (4D) |
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57 | real,dimension(:,:,:,:),allocatable :: rayon ! distance to center (m) |
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58 | real,dimension(:,:,:,:),allocatable :: grav ! gravity field (m s-2) |
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59 | real,dimension(:,:,:,:),allocatable :: dmass ! mass in cell (kg) |
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60 | |
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61 | ! variables prepared for computation inside timeloop |
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62 | real,dimension(:,:,:),allocatable :: t3d ! temp |
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63 | real,dimension(:,:,:),allocatable :: u3d ! zonal wind |
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64 | real,dimension(:,:,:),allocatable :: v3d ! merid wind |
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65 | ! variables obtained from computation inside timeloop |
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66 | real,dimension(:,:,:),allocatable :: stab3d ! stability (K/km) |
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67 | real,dimension(:,:,:),allocatable :: Ri3d ! Richardson number |
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68 | real,dimension(:,:),allocatable :: deqc2d ! distance to cyclostrophic equilibrium |
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69 | |
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70 | real,dimension(:,:),allocatable :: t2d ! temp |
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71 | real,dimension(:,:),allocatable :: u2d ! zonal wind |
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72 | real,dimension(:,:),allocatable :: v2d ! merid wind |
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73 | real,dimension(:,:),allocatable :: dtsdp ! d(temp)/d(plev) |
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74 | real,dimension(:,:),allocatable :: dusdp ! du/d(plev) |
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75 | real,dimension(:,:),allocatable :: dvsdp ! dv/d(plev) |
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76 | |
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77 | integer ierr,ierr1,ierr2 ! NetCDF routines return codes |
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78 | integer i,j,ilon,ilat,ilev,itim ! for loops |
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79 | logical :: lmdflag |
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80 | |
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81 | real :: deltalat,deltalon ! lat and lon intervals in radians |
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82 | real :: fac1,ecden,ecnum ! for cyclo eq. |
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83 | |
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84 | real :: cpdet |
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85 | |
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86 | include "planet.h" |
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87 | |
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88 | !=============================================================================== |
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89 | ! 1. Input parameters |
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90 | !=============================================================================== |
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91 | |
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92 | pi = 2.*asin(1.) |
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93 | miss_val = miss_val_def |
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94 | |
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95 | write(*,*) "" |
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96 | write(*,*) "You are working on the atmosphere of ",planet |
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97 | |
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98 | !=============================================================================== |
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99 | ! 1.1 Input file |
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100 | !=============================================================================== |
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101 | |
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102 | write(*,*) "" |
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103 | write(*,*) "Program valid for files with pressure axis (*_P.nc)" |
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104 | write(*,*) "Enter input file name:" |
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105 | |
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106 | read(*,'(a128)') infile |
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107 | write(*,*) "" |
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108 | |
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109 | ! open input file |
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110 | |
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111 | ierr = NF_OPEN(infile,NF_NOWRITE,infid) |
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112 | if (ierr.ne.NF_NOERR) then |
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113 | write(*,*) 'ERROR: Pb opening file ',trim(infile) |
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114 | stop "" |
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115 | endif |
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116 | |
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117 | !=============================================================================== |
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118 | ! 1.2 Get grids in lon,lat,alt(pressure),time |
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119 | !=============================================================================== |
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120 | |
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121 | call get_iddim(infid,lat_varid,latlength,lon_varid,lonlength,& |
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122 | alt_varid,altlength,time_varid,timelength,lmdflag ) |
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123 | |
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124 | allocate(lon(lonlength)) |
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125 | ierr=NF_GET_VAR_REAL(infid,lon_varid,lon) |
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126 | if (ierr.ne.NF_NOERR) stop "Error: Failed reading longitude" |
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127 | |
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128 | allocate(lat(latlength)) |
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129 | ierr=NF_GET_VAR_REAL(infid,lat_varid,lat) |
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130 | if (ierr.ne.NF_NOERR) stop "Error: Failed reading lat" |
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131 | |
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132 | allocate(coslat(latlength)) |
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133 | ! Beware of rounding problems at poles... |
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134 | coslat(:) = max(0.,cos(lat(:)*pi/180.)) |
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135 | |
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136 | ! Lat, lon pressure intervals |
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137 | deltalat = abs(lat(2)-lat(1))*pi/180. |
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138 | deltalon = abs(lon(2)-lon(1))*pi/180. |
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139 | |
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140 | allocate(plev(altlength)) |
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141 | ierr=NF_GET_VAR_REAL(infid,alt_varid,plev) |
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142 | if (ierr.ne.NF_NOERR) stop "Error: Failed reading altitude (ie pressure levels)" |
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143 | |
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144 | allocate(time(timelength)) |
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145 | ierr=NF_GET_VAR_REAL(infid,time_varid,time) |
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146 | if (ierr.ne.NF_NOERR) stop "Error: Failed reading time" |
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147 | |
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148 | !=============================================================================== |
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149 | ! 1.3 Get output file name |
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150 | !=============================================================================== |
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151 | write(*,*) "" |
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152 | !write(*,*) "Enter output file name" |
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153 | !read(*,*) outfile |
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154 | outfile=infile(1:len_trim(infile)-3)//"_STA.nc" |
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155 | write(*,*) "Output file name is: "//trim(outfile) |
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156 | |
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157 | |
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158 | |
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159 | !=============================================================================== |
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160 | ! 2.1 Store needed fields |
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161 | !=============================================================================== |
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162 | |
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163 | !=============================================================================== |
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164 | ! 2.1.1 Surface pressure |
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165 | !=============================================================================== |
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166 | allocate(ps(lonlength,latlength,timelength)) |
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167 | |
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168 | text="ps" |
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169 | call get_var3d(infid,lonlength,latlength,timelength,text,ps,ierr1,ierr2) |
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170 | if (ierr1.ne.NF_NOERR) then |
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171 | write(*,*) " looking for psol instead... " |
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172 | text="psol" |
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173 | call get_var3d(infid,lonlength,latlength,timelength,text,ps,ierr1,ierr2) |
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174 | if (ierr1.ne.NF_NOERR) stop "Error: Failed to get psol ID" |
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175 | endif |
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176 | if (ierr2.ne.NF_NOERR) stop "Error: Failed reading surface pressure" |
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177 | |
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178 | !=============================================================================== |
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179 | ! 2.1.2 Atmospheric temperature |
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180 | !=============================================================================== |
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181 | allocate(temp(lonlength,latlength,altlength,timelength)) |
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182 | |
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183 | text="temp" |
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184 | call get_var4d(infid,lonlength,latlength,altlength,timelength,text,temp,miss_val,ierr1,ierr2) |
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185 | if (ierr1.ne.NF_NOERR) then |
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186 | write(*,*) " looking for t instead... " |
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187 | text="t" |
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188 | call get_var4d(infid,lonlength,latlength,altlength,timelength,text,temp,miss_val,ierr1,ierr2) |
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189 | if (ierr1.ne.NF_NOERR) stop "Error: Failed to get temperature ID" |
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190 | endif |
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191 | if (ierr2.ne.NF_NOERR) stop "Error: Failed reading temperature" |
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192 | |
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193 | !=============================================================================== |
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194 | ! 2.1.3 Winds |
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195 | !=============================================================================== |
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196 | allocate(vitu(lonlength,latlength,altlength,timelength)) |
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197 | allocate(vitv(lonlength,latlength,altlength,timelength)) |
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198 | |
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199 | ! zonal wind vitu (in m/s) |
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200 | text="vitu" |
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201 | call get_var4d(infid,lonlength,latlength,altlength,timelength,text,vitu,miss_val,ierr1,ierr2) |
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202 | if (ierr1.ne.NF_NOERR) stop "Error: Failed to get vitu ID" |
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203 | if (ierr2.ne.NF_NOERR) stop "Error: Failed reading zonal wind" |
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204 | |
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205 | ! meridional wind vitv (in m/s) |
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206 | text="vitv" |
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207 | call get_var4d(infid,lonlength,latlength,altlength,timelength,text,vitv,miss_val,ierr1,ierr2) |
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208 | if (ierr1.ne.NF_NOERR) stop "Error: Failed to get vitv ID" |
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209 | if (ierr2.ne.NF_NOERR) stop "Error: Failed reading meridional wind" |
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210 | |
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211 | !=============================================================================== |
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212 | ! 2.1.4 Altitude above areoide |
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213 | !=============================================================================== |
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214 | ! Only needed if g(z) on Titan... |
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215 | |
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216 | ! allocate(za(lonlength,latlength,altlength,timelength)) |
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217 | |
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218 | ! text="zareoid" |
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219 | ! call get_var4d(infid,lonlength,latlength,altlength,timelength,text,za,miss_val,ierr1,ierr2) |
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220 | ! if (ierr1.ne.NF_NOERR) stop "Error: Failed to get za ID" |
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221 | ! if (ierr2.ne.NF_NOERR) stop "Error: Failed reading zareoid" |
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222 | |
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223 | !=============================================================================== |
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224 | !!! Allocations before timeloop |
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225 | !=============================================================================== |
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226 | |
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227 | ! latlength correspond a jjm+1 |
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228 | ! mais lonlength correspond a iim |
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229 | ! pour boucler en longitude, on a besoin du point iim+1 (= 1) |
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230 | |
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231 | allocate(rayon(lonlength+1,latlength,altlength,timelength)) |
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232 | allocate(grav(lonlength+1,latlength,altlength,timelength)) |
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233 | allocate(dmass(lonlength+1,latlength,altlength,timelength)) |
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234 | |
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235 | allocate(t3d(lonlength+1,latlength,altlength)) |
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236 | allocate(u3d(lonlength+1,latlength,altlength)) |
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237 | allocate(v3d(lonlength+1,latlength,altlength)) |
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238 | |
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239 | allocate(t2d(latlength,altlength)) |
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240 | allocate(u2d(latlength,altlength)) |
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241 | allocate(v2d(latlength,altlength)) |
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242 | allocate(dtsdp(latlength,altlength)) |
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243 | allocate(dusdp(latlength,altlength)) |
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244 | allocate(dvsdp(latlength,altlength)) |
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245 | |
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246 | allocate(stab(lonlength,latlength,altlength,timelength)) |
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247 | allocate(Ri(lonlength,latlength,altlength,timelength)) |
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248 | allocate(deqc(latlength,altlength,timelength)) |
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249 | |
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250 | allocate(stab3d(lonlength+1,latlength,altlength)) |
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251 | allocate(Ri3d(lonlength+1,latlength,altlength)) |
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252 | allocate(deqc2d(latlength,altlength)) |
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253 | |
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254 | !=============================================================================== |
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255 | ! 2.2.2 Mass in cells |
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256 | !=============================================================================== |
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257 | |
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258 | do itim=1,timelength |
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259 | do ilon=1,lonlength |
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260 | do ilat=1,latlength |
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261 | do ilev=1,altlength |
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262 | ! Need to be consistent with GCM computations |
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263 | ! if (za(ilon,ilat,ilev,itim).ne.miss_val) then |
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264 | rayon(ilon,ilat,ilev,itim) = a0 |
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265 | ! rayon(ilon,ilat,ilev,itim) = za(ilon,ilat,ilev,itim) + a0 |
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266 | grav(ilon,ilat,ilev,itim) = g0*a0*a0 & |
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267 | /(rayon(ilon,ilat,ilev,itim)*rayon(ilon,ilat,ilev,itim)) |
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268 | ! else |
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269 | ! rayon(ilon,ilat,ilev,itim) = miss_val |
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270 | ! grav(ilon,ilat,ilev,itim) = miss_val |
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271 | ! endif |
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272 | enddo |
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273 | enddo |
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274 | enddo |
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275 | enddo ! timelength |
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276 | |
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277 | rayon(lonlength+1,:,:,:) = rayon(1,:,:,:) |
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278 | grav(lonlength+1,:,:,:) = grav(1,:,:,:) |
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279 | |
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280 | call cellmass(infid,latlength,lonlength+1,altlength,timelength,lmdflag, & |
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281 | miss_val,deltalon,deltalat,coslat,plev,ps,grav,rayon, & |
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282 | dmass ) |
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283 | |
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284 | !=============================================================================== |
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285 | !!! GLOBAL TIME LOOP !!! |
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286 | !=============================================================================== |
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287 | do itim=1,timelength |
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288 | |
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289 | !=============================================================================== |
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290 | ! 2.2 Computations |
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291 | !=============================================================================== |
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292 | |
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293 | !=============================================================================== |
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294 | ! 2.2.3 Init of 3D variables |
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295 | !=============================================================================== |
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296 | |
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297 | do ilon=1,lonlength |
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298 | do ilat=1,latlength |
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299 | do ilev=1,altlength |
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300 | t3d(ilon,ilat,ilev) = temp(ilon,ilat,ilev,itim) |
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301 | u3d(ilon,ilat,ilev) = vitu(ilon,ilat,ilev,itim) |
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302 | v3d(ilon,ilat,ilev) = vitv(ilon,ilat,ilev,itim) |
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303 | enddo |
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304 | enddo |
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305 | enddo |
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306 | |
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307 | t3d(lonlength+1,:,:) = t3d(1,:,:) |
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308 | u3d(lonlength+1,:,:) = u3d(1,:,:) |
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309 | v3d(lonlength+1,:,:) = v3d(1,:,:) |
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310 | |
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311 | !=============================================================================== |
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312 | ! 2.2.4 Stability |
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313 | !=============================================================================== |
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314 | |
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315 | do ilon=1,lonlength+1 |
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316 | t2d(:,:) = t3d(ilon,:,:) |
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317 | call dx_dp(latlength,altlength,miss_val,plev,t2d,dtsdp) |
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318 | do ilat=1,latlength |
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319 | do ilev=1,altlength |
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320 | if ((grav(ilon,ilat,ilev,itim).ne.miss_val).and. & |
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321 | ( t3d(ilon,ilat,ilev).ne.miss_val) ) then |
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322 | stab3d(ilon,ilat,ilev) = grav(ilon,ilat,ilev,itim)* & |
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323 | ( 1./cpdet(t2d(ilat,ilev)) & |
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324 | - plev(ilev)*dtsdp(ilat,ilev)/(R0*t2d(ilat,ilev)) ) |
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325 | stab3d(ilon,ilat,ilev) = stab3d(ilon,ilat,ilev)*1000. ! passage en K/km |
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326 | else |
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327 | stab3d(ilon,ilat,ilev) = miss_val |
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328 | endif |
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329 | enddo |
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330 | enddo |
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331 | enddo |
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332 | |
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333 | !=============================================================================== |
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334 | ! 2.2.5 Richardson number |
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335 | !=============================================================================== |
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336 | |
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337 | do ilon=1,lonlength+1 |
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338 | u2d(:,:) = u3d(ilon,:,:) |
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339 | v2d(:,:) = v3d(ilon,:,:) |
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340 | call dx_dp(latlength,altlength,miss_val,plev,u2d,dusdp) |
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341 | call dx_dp(latlength,altlength,miss_val,plev,v2d,dvsdp) |
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342 | do ilat=1,latlength |
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343 | do ilev=1,altlength |
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344 | if ((grav(ilon,ilat,ilev,itim).ne.miss_val).and. & |
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345 | ( u3d(ilon,ilat,ilev).ne.miss_val).and. & |
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346 | ( v3d(ilon,ilat,ilev).ne.miss_val).and. & |
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347 | ( t3d(ilon,ilat,ilev).ne.miss_val) ) then |
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348 | Ri3d(ilon,ilat,ilev) = & ! attention, transfo a cause de du/dp au lieu de du/dz |
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349 | stab3d(ilon,ilat,ilev)*t3d(ilon,ilat,ilev)*R0*R0 & |
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350 | / (grav(ilon,ilat,ilev,itim)*plev(ilev)*plev(ilev)) & |
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351 | / (dusdp(ilat,ilev)*dusdp(ilat,ilev)+dvsdp(ilat,ilev)*dvsdp(ilat,ilev)) |
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352 | else |
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353 | Ri3d(ilon,ilat,ilev) = miss_val |
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354 | endif |
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355 | enddo |
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356 | enddo |
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357 | enddo |
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358 | |
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359 | !=============================================================================== |
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360 | ! 2.2.6 Distance to cyclostrophic equilibrium |
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361 | !=============================================================================== |
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362 | |
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363 | call moyzon(lonlength,latlength,altlength,miss_val,u3d,u2d) |
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364 | call moyzon(lonlength,latlength,altlength,miss_val,t3d,t2d) |
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365 | call dx_dp(latlength,altlength,miss_val,plev,u2d,dusdp) |
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366 | |
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367 | do ilat=2,latlength-1 |
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368 | if (tan(lat(ilat)*pi/180.).ne.0.) then |
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369 | fac1 = R0/tan(lat(ilat)*pi/180.) |
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370 | else |
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371 | fac1 = miss_val |
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372 | endif |
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373 | do ilev=1,altlength |
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374 | if ((dusdp(ilat,ilev).ne.miss_val).and. & |
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375 | ( u2d(ilat,ilev).ne.miss_val).and. & |
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376 | ( fac1.ne.miss_val).and. & |
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377 | ( t2d(ilat,ilev).ne.miss_val) ) then |
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378 | ecden = dusdp(ilat,ilev)*(2.*u2d(ilat,ilev)*plev(ilev)) |
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379 | ecnum = ((t2d(ilat+1,ilev)-t2d(ilat-1,ilev))/(2.*deltalat)*fac1-ecden)*100. |
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380 | deqc2d(ilat,ilev) = ecnum/ecden |
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381 | else |
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382 | deqc2d(ilat,ilev) = miss_val |
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383 | endif |
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384 | enddo |
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385 | enddo |
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386 | do ilev=1,altlength |
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387 | deqc2d(1,ilev) = miss_val |
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388 | deqc2d(latlength,ilev) = miss_val |
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389 | enddo |
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390 | |
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391 | !=============================================================================== |
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392 | ! 2.2.7 Building 3D+time variables |
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393 | !=============================================================================== |
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394 | |
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395 | deqc(:,:,itim) = deqc2d(:,:) |
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396 | stab(:,:,:,itim) = stab3d(1:lonlength,:,:) |
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397 | Ri(:,:,:,itim) = Ri3d(1:lonlength,:,:) |
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398 | |
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399 | |
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400 | enddo ! timelength |
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401 | !=============================================================================== |
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402 | !!! END GLOBAL TIME LOOP !!! |
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403 | !=============================================================================== |
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404 | |
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405 | print*,"End of computations" |
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406 | |
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407 | !=============================================================================== |
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408 | ! 3. Create output file |
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409 | !=============================================================================== |
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410 | |
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411 | ! Create output file |
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412 | ierr=NF_CREATE(outfile,NF_CLOBBER,outfid) |
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413 | if (ierr.ne.NF_NOERR) then |
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414 | write(*,*)"Error: could not create file ",outfile |
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415 | stop |
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416 | endif |
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417 | |
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418 | !=============================================================================== |
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419 | ! 3.1. Define and write dimensions |
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420 | !=============================================================================== |
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421 | |
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422 | call write_dim(outfid,lonlength,latlength,altlength,timelength, & |
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423 | lon,lat,plev,time,lon_dimid,lat_dimid,alt_dimid,time_dimid) |
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424 | |
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425 | !=============================================================================== |
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426 | ! 3.2. Define and write variables |
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427 | !=============================================================================== |
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428 | |
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429 | ! 3D Variables |
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430 | |
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431 | datashape3d(1)=lat_dimid |
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432 | datashape3d(2)=alt_dimid |
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433 | datashape3d(3)=time_dimid |
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434 | |
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435 | call write_var3d(outfid,datashape3d,latlength,altlength,timelength,& |
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436 | "deqc ", "Distance to cyclo eq","per cent ",miss_val,& |
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437 | deqc ) |
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438 | |
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439 | ! 4D Variables |
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440 | |
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441 | datashape4d(1)=lon_dimid |
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442 | datashape4d(2)=lat_dimid |
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443 | datashape4d(3)=alt_dimid |
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444 | datashape4d(4)=time_dimid |
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445 | |
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446 | call write_var4d(outfid,datashape4d,lonlength,latlength,altlength,timelength,& |
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447 | "stab ", "Stability ","K/km ",miss_val,& |
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448 | stab ) |
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449 | |
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450 | call write_var4d(outfid,datashape4d,lonlength,latlength,altlength,timelength,& |
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451 | "Ri ", "Richardson number "," ",miss_val,& |
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452 | Ri ) |
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453 | |
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454 | |
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455 | !!!! Close output file |
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456 | ierr=NF_CLOSE(outfid) |
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457 | if (ierr.ne.NF_NOERR) then |
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458 | write(*,*) 'Error, failed to close output file ',outfile |
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459 | endif |
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460 | |
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461 | |
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462 | end program |
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