| 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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