1 | ! $Id: ropp_apps_utils.f90 4707 2016-02-11 16:51:04Z idculv $
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2 |
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3 | MODULE ropp_apps_utils
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4 |
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5 | !****m* Modules/ropp_apps_utils *
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6 | !
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7 | ! NAME
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8 | ! ropp_apps_utils - Utility routines for ROPP applications module
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9 | !
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10 | ! SYNOPSIS
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11 | ! USE ropp_apps_utils
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12 | !
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13 | ! DESCRIPTION
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14 | ! This module provides signal and matrix processing routines used by
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15 | ! the ROPP pre-processor ionospheric correction package.
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16 | !
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17 | ! AUTHOR
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18 | ! Met Office, Exeter, UK and ECMWF, Reading, UK.
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19 | ! Any comments on this software should be given via the ROM SAF
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20 | ! Helpdesk at http://www.romsaf.org
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21 | !
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22 | ! COPYRIGHT
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23 | ! (c) EUMETSAT. All rights reserved.
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24 | ! For further details please refer to the file COPYRIGHT
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25 | ! which you should have received as part of this distribution.
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26 | !
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27 | !****
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28 |
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29 | CONTAINS
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30 |
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31 | ! ==============================================================================
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32 |
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33 | !****s* APPSUtils/ropp_apps_calc_geop *
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34 | !
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35 | ! NAME
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36 | ! ropp_apps_calc_geop - calculate geopotential for ECMWF-like bgr fields
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37 | ! from {T, q, Ak, Bk}
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38 | !
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39 | ! SYNOPSIS
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40 | ! CALL ropp_apps_calc_geop(ro_data, geop)
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41 | !
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42 | !****
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43 |
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44 | SUBROUTINE ropp_apps_calc_geop(ro_data, geop)
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45 | !
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46 | ! Calculate geopotential for ECMWF-like bgr files from {T, q, Ak, Bk}.
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47 | ! Slightly modified code lifted from relevant section of
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48 | ! ropp_fm/common/ropp_fm_roprof2state.f90,
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49 | ! to which the reader is referred for explanatory comments.
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50 |
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51 | USE typesizes, ONLY: wp => EightByteReal
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52 | USE ropp_utils
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53 | USE ropp_io_types, ONLY: ROprof
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54 | USE ropp_apps_constants, ONLY: R_dry, g_wmo
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55 | ! USE ropp_apps_utils, not_this => ropp_apps_calc_geop
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56 |
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57 | IMPLICIT NONE
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58 |
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59 | ! In/out
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60 | TYPE(ROprof), INTENT(IN) :: ro_data ! RO profile containing lev2b data
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61 | REAL(wp), DIMENSION(:), INTENT(INOUT) :: geop
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62 |
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63 | ! Local variables
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64 | REAL(wp), DIMENSION(:), ALLOCATABLE :: p_hlv, geop_hlv
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65 | REAL(wp), DIMENSION(:), ALLOCATABLE :: Tvflv, ln_prflv
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66 | REAL(wp), DIMENSION(:), ALLOCATABLE :: del_p, del_geop, alpha
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67 |
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68 | INTEGER :: n_hlv, n_flv, lvl
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69 |
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70 | CHARACTER(len=256) :: level_type
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71 | CHARACTER(len=256) :: routine
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72 |
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73 | ! 1.1 Initialisation
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74 | ! ------------------
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75 |
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76 | CALL message_get_routine(routine)
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77 |
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78 | CALL message_set_routine('ropp_apps_calc_geop')
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79 |
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80 | ! 1.2 Set up
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81 | ! ----------
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82 |
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83 | level_type = ro_data%Lev2d%level_type
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84 | IF ( INDEX(level_type,'UNKNOWN') > 0) level_type = ro_data%bg%source
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85 |
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86 | CALL To_Upper(level_type)
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87 |
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88 | IF ( (INDEX(level_type,'HYBRID') > 0) .OR. &
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89 | (INDEX(level_type,'ECMWF') > 0) ) THEN ! ECMWF background
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90 |
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91 | n_hlv = SIZE(ro_data%lev2d%level_coeff_a)
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92 | n_flv = SIZE(ro_data%lev2b%press)
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93 |
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94 | IF ( n_hlv /= n_flv+1 ) &
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95 | CALL message(msg_fatal, "Inconsistent number of pressure levels " // &
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96 | "and Ak coefficients \n")
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97 |
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98 | ALLOCATE (p_hlv(n_hlv), geop_hlv(n_hlv))
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99 | ALLOCATE (Tvflv(n_flv), ln_prflv(n_flv))
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100 | ALLOCATE (del_p(n_flv), del_geop(n_flv), alpha(n_flv))
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101 |
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102 | p_hlv = ro_data%lev2d%level_coeff_a + &
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103 | ro_data%lev2d%level_coeff_b * ro_data%lev2c%press_sfc
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104 |
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105 | WHERE (ro_data%lev2b%shum > ropp_MDTV) ! very occasionally they're not
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106 | Tvflv = (1.0_wp + 0.61e-3_wp * ro_data%lev2b%shum) * ro_data%lev2b%temp !NB: shum in g/kg
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107 | ELSEWHERE
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108 | Tvflv = (1.0_wp + 0.61e-3_wp * 0.0_wp) * ro_data%lev2b%temp !NB: shum in g/kg
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109 | END WHERE
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110 |
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111 | del_p(1:n_flv) = p_hlv(1:n_hlv-1) - p_hlv(2:n_hlv)
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112 |
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113 | ln_prflv(1:n_flv-1) = LOG(p_hlv(1:n_hlv-2)/p_hlv(2:n_hlv-1))
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114 | ln_prflv(n_flv) = 0.0_wp ! For completeness (never used)
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115 |
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116 | alpha(1:n_flv-1) = 1.0_wp - p_hlv(2:n_hlv-1)/del_p(1:n_flv-1) * ln_prflv(1:n_flv-1)
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117 | alpha(n_flv) = LOG(2.0_wp)
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118 |
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119 | del_geop = R_dry * Tvflv * ln_prflv / g_wmo
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120 |
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121 | ! 1.3 Integration
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122 | ! ---------------
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123 |
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124 | geop_hlv(1) = ro_data%lev2c%geop_sfc
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125 | DO lvl = 2, n_hlv-1
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126 | geop_hlv(lvl) = geop_hlv(lvl-1) + del_geop(lvl-1)
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127 | END DO
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128 |
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129 | ! 1.4 Interpolation
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130 | ! -----------------
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131 |
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132 | geop = geop_hlv(1:n_hlv-1) + alpha * R_dry * Tvflv / g_wmo
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133 |
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134 | ! 1.5 Cleaning up
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135 | ! ---------------
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136 |
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137 | DEALLOCATE (del_p, del_geop, alpha)
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138 | DEALLOCATE (Tvflv, ln_prflv)
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139 | DEALLOCATE (p_hlv, geop_hlv)
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140 |
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141 | ELSE
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142 |
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143 | ! 1.6 Computer says no
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144 | ! --------------------
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145 |
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146 | CALL message(msg_info, "Background profile not in ECMWF format ... " // &
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147 | "cannot calculate geopotentials \n")
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148 | geop = ropp_MDFV
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149 |
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150 | END IF
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151 |
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152 | ! 1.7 Clear up
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153 | ! ------------
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154 |
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155 | CALL message_set_routine(routine)
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156 |
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157 | END SUBROUTINE ropp_apps_calc_geop
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158 |
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159 |
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160 | ! ==============================================================================
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161 |
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162 | !****s* APPSUtils/ropp_apps_calc_tdry *
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163 | !
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164 | ! NAME
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165 | ! ropp_apps_calc_tdry - calculate dry temperature from refractivity profile
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166 | !
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167 | ! SYNOPSIS
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168 | ! CALL ropp_apps_calc_tdry(ro_data, tdry)
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169 | !
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170 | !****
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171 |
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172 | SUBROUTINE ropp_apps_calc_tdry(ro_data, tdry)
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173 | !
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174 | ! Calculate geopotential dry temperature from refractivity profile.
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175 | ! We integrate dp/dz = (-g(z)/k_1 R) N using a very crude climatological
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176 | ! estimate of dT/dz at the top, based on z(top).
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177 | ! Euler forward, so 1st order accurate. Probably good enough here - we just
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178 | ! need something with the same gradients as Tdry in the lower troposphere.
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179 |
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180 | USE typesizes, ONLY: wp => EightByteReal
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181 | USE ropp_utils
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182 | USE ropp_io, ONLY: ropp_io_ascend
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183 | USE ropp_io_types, ONLY: ROprof
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184 | USE ropp_apps_constants, ONLY: R_dry, g_wmo, kappa1
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185 |
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186 | IMPLICIT NONE
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187 |
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188 | ! In/out
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189 | TYPE(ROprof), INTENT(IN) :: ro_data ! RO profile containing lev2a data
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190 | REAL(wp), DIMENSION(:), INTENT(INOUT) :: tdry
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191 |
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192 | ! Local variables
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193 | REAL(wp), DIMENSION(:), ALLOCATABLE :: z, ref, t, lnp
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194 | REAL(wp) :: const ! g_wmo/R/kappa1
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195 | REAL(wp) :: p_top, z_top, dlognbydz_top, dtbydz_top
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196 |
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197 | ! 'Climatological' lapse rate parameters (actually dT/dz = - usual lapse rate)
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198 | REAL(wp), PARAMETER :: z_surf=0.0_wp ! gpm
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199 | REAL(wp), PARAMETER :: z_trop_lower=11.0E3_wp ! gpm
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200 | REAL(wp), PARAMETER :: z_trop_midpt=12.0E3_wp ! gpm
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201 | REAL(wp), PARAMETER :: z_trop_upper=13.0E3_wp ! gpm
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202 | REAL(wp), PARAMETER :: z_strat_lower=47.5E3_wp ! gpm
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203 | REAL(wp), PARAMETER :: z_strat_midpt=50.0E3_wp ! gpm
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204 | REAL(wp), PARAMETER :: z_strat_upper=52.5E3_wp ! gpm
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205 | REAL(wp), PARAMETER :: z_mes_lower=87.5E3_wp ! gpm
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206 | REAL(wp), PARAMETER :: z_mes_midpt=90.0E3_wp ! gpm
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207 | REAL(wp), PARAMETER :: z_mes_upper=92.5E3_wp ! gpm
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208 |
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209 | REAL(wp), PARAMETER :: lrt_trop=-8.5E-3_wp ! K/m
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210 | REAL(wp), PARAMETER :: lrt_strat=1.7E-3_wp ! K/m
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211 | REAL(wp), PARAMETER :: lrt_mes=-2.5E-3_wp ! K/m
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212 | REAL(wp), PARAMETER :: lrt_therm=4.8E-3_wp ! K/m
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213 |
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214 | INTEGER :: i, nlev
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215 |
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216 | CHARACTER(len=256) :: routine
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217 | CHARACTER(len=10) :: s_z_top, s_dtbydz_top
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218 |
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219 | LOGICAL, DIMENSION(:), ALLOCATABLE :: lvalid
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220 |
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221 | ! 1.1 Initialisation
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222 | ! ------------------
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223 |
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224 | CALL message_get_routine(routine)
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225 |
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226 | CALL message_set_routine('ropp_apps_calc_tdry')
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227 |
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228 | ! 1.2 Set up
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229 | ! ----------
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230 |
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231 | ALLOCATE ( lvalid(ro_data%lev2a%npoints) )
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232 |
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233 | lvalid = .FALSE.
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234 |
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235 | WHERE ( (ro_data%lev2a%refrac > ropp_ZERO) .AND. &
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236 | (ro_data%lev2a%alt_refrac > ropp_MDTV) ) lvalid = .TRUE.
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237 |
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238 | nlev = COUNT(lvalid)
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239 |
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240 | IF ( nlev < 3 ) THEN
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241 |
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242 | CALL message(msg_info, "Not enough valid refractivities and heights ... " // &
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243 | "cannot calculate dry temperatures \n")
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244 |
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245 | tdry = ropp_MDFV
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246 |
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247 | CALL message_set_routine(routine)
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248 |
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249 | RETURN
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250 |
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251 | END IF
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252 |
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253 | ! 1.3 Make sure heights are increasing
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254 | ! ------------------------------------
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255 |
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256 | CALL ropp_io_ascend(ro_data)
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257 |
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258 | ! 1.4 Define constants and variables
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259 | ! ----------------------------------
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260 |
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261 | ALLOCATE ( z(nlev), ref(nlev), t(nlev), lnp(nlev) )
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262 |
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263 | z = PACK(ro_data%lev2a%alt_refrac, lvalid)
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264 |
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265 | z = geometric2geopotential(ro_data%georef%lat, z) ! Because we're assuming a constant g_wmo
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266 |
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267 | ref = PACK(ro_data%lev2a%refrac, lvalid)
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268 |
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269 | const = g_wmo / r_dry / kappa1
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270 |
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271 | ! 1.5 Boundary condition on p
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272 | ! ---------------------------
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273 |
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274 | ! Estimate dlogN/dz(top=(nlev-1)).
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275 |
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276 | dlognbydz_top = LOG(ref(nlev)/ref(nlev-2)) / (z(nlev) - z(nlev-2))
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277 |
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278 | IF ( dlognbydz_top > -ropp_ZDTV ) THEN
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279 |
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280 | CALL message(msg_warn, "dlogN/dz non-negative at top of profile ... " // &
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281 | "cannot calculate dry temperature.\n")
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282 |
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283 | tdry = ropp_MDFV
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284 |
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285 | CALL message_set_routine(routine)
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286 |
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287 | RETURN
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288 |
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289 | END IF
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290 |
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291 | ! Set dT/dz(top). Do not rearrange the order of these statements!
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292 |
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293 | z_top = z(nlev-1)
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294 |
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295 | IF (z_top > z_surf) dtbydz_top = lrt_trop
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296 | IF (z_top > z_trop_lower) dtbydz_top = 0.0_wp
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297 | IF (z_top > z_trop_upper) dtbydz_top = lrt_strat
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298 | IF (z_top > z_strat_lower) dtbydz_top = 0.0_wp
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299 | IF (z_top > z_strat_upper) dtbydz_top = lrt_mes
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300 | IF (z_top > z_mes_lower) dtbydz_top = 0.0_wp
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301 | IF (z_top > z_mes_upper) dtbydz_top = lrt_therm
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302 |
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303 | p_top = -ref(nlev-1) * ((g_wmo/R_dry) + dtbydz_top) / &
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304 | kappa1 / dlognbydz_top
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305 |
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306 | WRITE (s_z_top, FMT='(F10.5)') z_top / 1.E3_wp
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307 | WRITE (s_dtbydz_top, FMT='(F10.5)') dtbydz_top / 1.E-3_wp
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308 |
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309 | CALL message(msg_diag, "Setting dT/dz = " // s_dtbydz_top // " K/km," // &
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310 | " at z_top = " // s_z_top // " km.\n")
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311 |
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312 | lnp(nlev-1) = LOG(p_top)
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313 |
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314 | ! 1.6 Integrate downwards from z(nlev-1) to z(1)
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315 | ! ----------------------------------------------
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316 |
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317 | DO i=nlev-1,2,-1
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318 |
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319 | ! lnp(i-1) = lnp(i) - const * ref(i) * (z(i-1) - z(i)) * EXP(-lnp(i))
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320 |
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321 | lnp(i-1) = lnp(i) - 0.5_wp * const * ref(i) * (z(i-1) - z(i)) * EXP(-lnp(i)) ! Estimate of lnp(i-1/2)
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322 |
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323 | lnp(i-1) = lnp(i) - const * SQRT(ref(i)*ref(i-1)) * (z(i-1) - z(i)) * EXP(-lnp(i-1)) ! Using previous estimate of lnp(i-1/2) on RHS
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324 |
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325 | END DO
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326 |
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327 | ! 1.7 Recalculate lnp at top
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328 | ! --------------------------
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329 |
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330 | lnp(nlev) = lnp(nlev-2) - const * ref(nlev-1) * (z(nlev) - z(nlev-2)) * EXP(-lnp(nlev-1))
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331 |
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332 | ! 1.8 Convert p to t
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333 | ! ------------------
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334 |
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335 | t = kappa1 * EXP(lnp) / ref
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336 |
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337 | ! 1.9 Unpack t to return tdry
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338 | ! ---------------------------
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339 |
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340 | tdry = UNPACK(t, lvalid, ropp_MDFV)
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341 |
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342 | ! 2.0 Clear up
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343 | ! ------------
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344 |
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345 | DEALLOCATE (lnp, t, ref, z, lvalid)
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346 |
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347 | CALL message_set_routine(routine)
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348 |
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349 | END SUBROUTINE ropp_apps_calc_tdry
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350 |
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351 | ! ==============================================================================
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352 |
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353 | !****s* APPSUtils/ropp_apps_impact2geom *
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354 | !
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355 | ! NAME
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356 | ! ropp_apps_impact2geom - calculate geometric height from impact parameter
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357 | !
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358 | ! SYNOPSIS
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359 | ! CALL ropp_apps_impact2geom(ro_data, geom, pblh_qc_flag)
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360 | !
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361 | !****
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362 |
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363 | SUBROUTINE ropp_apps_impact2geom(ro_data, geom, pblh_qc_flag)
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364 | !
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365 | ! Calculate geometric height h corresponding to a given impact parameter a
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366 | ! by solving (iteratively) a = r n(r), where
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367 | ! n = 1 + refrac*10^-6 and
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368 | ! r = h + RoC + und
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369 | ! Refractivity on (lev1b) r values is found by interpolating (lev2a)
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370 | ! logs of the refracs.
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371 |
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372 | USE typesizes, ONLY: wp => EightByteReal
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373 | USE ropp_utils
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374 | USE ropp_io
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375 | USE ropp_io_types, ONLY: ROprof
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376 | USE ropp_apps_types
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377 | ! USE ropp_apps_utils, not_this => ropp_apps_impact2geom
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378 |
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379 | IMPLICIT NONE
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380 |
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381 | ! In/out
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382 | TYPE(ROprof), INTENT(IN) :: ro_data ! RO profile containing lev2b data
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383 | REAL(wp), DIMENSION(:), INTENT(INOUT) :: geom
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384 | INTEGER, INTENT(INOUT) :: pblh_qc_flag
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385 |
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386 | ! Local parameters
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387 | REAL(wp), PARAMETER :: refrac_surf_default=300.0_wp
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388 | REAL(wp), PARAMETER :: tol=1.0e-3_wp ! m
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389 | INTEGER, PARAMETER :: iter_max=250
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390 |
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391 | ! Local variables
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392 | REAL(wp) :: roc, und
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393 | REAL(wp) :: refrac_surf
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394 | REAL(wp), DIMENSION(MAX(1, ro_data%lev1b%npoints)) &
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395 | :: old_rad, new_rad, refrac
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396 |
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397 | INTEGER, DIMENSION(:), POINTER :: idx => NULL() ! Array indices
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398 | INTEGER :: nidx
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399 |
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400 | INTEGER :: iter
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401 | CHARACTER(LEN=3) :: siter_max
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402 | CHARACTER(len=256) :: routine
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403 |
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404 | ! 1.1 Initialisation
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405 | ! ------------------
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406 |
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407 | CALL message_get_routine(routine)
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408 |
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409 | CALL message_set_routine('ropp_apps_impact2geom')
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410 |
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411 | ! 1.2 Definition
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412 | ! --------------
|
---|
413 |
|
---|
414 | IF ( ro_data%lev1b%npoints < 1 ) THEN
|
---|
415 | CALL message(msg_fatal, "No level 1b data in profile \n")
|
---|
416 | CALL message_set_routine(routine)
|
---|
417 | RETURN
|
---|
418 | END IF
|
---|
419 |
|
---|
420 | IF ( ro_data%GEOref%roc < ropp_MDTV ) THEN
|
---|
421 | CALL message(msg_error, "Missing radius of curvature ... " // &
|
---|
422 | "cannot calculate geometric height \n")
|
---|
423 | pblh_qc_flag = IBSET(pblh_qc_flag, PBLH_QC_data_invalid)
|
---|
424 | CALL message_set_routine(routine)
|
---|
425 | RETURN
|
---|
426 | ELSE
|
---|
427 | roc = ro_data%GEOref%roc
|
---|
428 | END IF
|
---|
429 |
|
---|
430 | IF ( ro_data%GEOref%undulation < ropp_MDTV ) THEN
|
---|
431 | CALL message(msg_warn, "Missing undulation ... assuming it to be zero \n")
|
---|
432 | und = 0.0_wp
|
---|
433 | ELSE
|
---|
434 | und = ro_data%GEOref%undulation
|
---|
435 | END IF
|
---|
436 |
|
---|
437 | idx => WHERE (ro_data%lev2a%refrac > ropp_ZERO, nidx)
|
---|
438 | IF (nidx == 0) THEN
|
---|
439 | CALL message(msg_error, "No positive refractivities ... " // &
|
---|
440 | "cannot calculate heights from impact parameters \n")
|
---|
441 | pblh_qc_flag = IBSET(pblh_qc_flag, PBLH_QC_data_invalid)
|
---|
442 | CALL message_set_routine(routine)
|
---|
443 | RETURN
|
---|
444 | END IF
|
---|
445 |
|
---|
446 | IF ( (ro_data%lev2a%refrac(idx(1)) < 10.0_wp) .OR. &
|
---|
447 | (ro_data%lev2a%refrac(idx(1)) > 1000.0_wp) ) THEN
|
---|
448 | CALL message(msg_info, "First refractivity < 10 N-units or > 1000 N-units ... " // &
|
---|
449 | "using 300 N-units on first iteration \n")
|
---|
450 | refrac_surf = refrac_surf_default
|
---|
451 | ELSE
|
---|
452 | refrac_surf = ro_data%lev2a%refrac(idx(1))
|
---|
453 | END IF
|
---|
454 |
|
---|
455 | ! 1.3 Iteration
|
---|
456 | ! -------------
|
---|
457 |
|
---|
458 | iter = 0
|
---|
459 |
|
---|
460 | old_rad = ro_data%lev1b%impact / (1.0_wp + 1.0e-6_wp*refrac_surf)
|
---|
461 |
|
---|
462 | DO
|
---|
463 |
|
---|
464 | ! Check monotonicity
|
---|
465 |
|
---|
466 | IF ( ANY( (old_rad(2:ro_data%lev1b%npoints ) - &
|
---|
467 | old_rad(1:ro_data%lev1b%npoints-1)) < 0) ) THEN
|
---|
468 | CALL message(msg_error, 'Calculation generated non-monotonic refractivity altitudes')
|
---|
469 | pblh_qc_flag = IBSET(pblh_qc_flag, PBLH_QC_data_invalid)
|
---|
470 | EXIT
|
---|
471 | END IF
|
---|
472 |
|
---|
473 | refrac = EXP( ropp_apps_interpol_1d(ro_data%lev2a%alt_refrac(idx), &
|
---|
474 | LOG(ro_data%lev2a%refrac(idx)), &
|
---|
475 | old_rad - roc - und, .TRUE.) )
|
---|
476 |
|
---|
477 | new_rad = ro_data%lev1b%impact / (1.0_wp + 1.0e-6_wp*refrac)
|
---|
478 |
|
---|
479 | IF ( MAXVAL( ABS( old_rad - new_rad ) ) <= tol ) EXIT
|
---|
480 |
|
---|
481 | iter = iter + 1
|
---|
482 |
|
---|
483 | IF ( iter > iter_max ) THEN
|
---|
484 | WRITE ( siter_max, '(i3)' ) iter_max
|
---|
485 | CALL message(msg_error, 'Iteration failed to converge within ' // &
|
---|
486 | siter_max // ' iterations')
|
---|
487 | pblh_qc_flag = IBSET(pblh_qc_flag, PBLH_QC_data_invalid)
|
---|
488 | EXIT
|
---|
489 | END IF
|
---|
490 |
|
---|
491 | old_rad = new_rad
|
---|
492 |
|
---|
493 | END DO
|
---|
494 |
|
---|
495 | ! 1.4 Calculation
|
---|
496 | ! ---------------
|
---|
497 |
|
---|
498 | IF ( .NOT. BTEST(pblh_qc_flag, PBLH_QC_data_invalid) ) &
|
---|
499 | geom = new_rad - roc - und
|
---|
500 |
|
---|
501 | ! 1.5 Clear up
|
---|
502 | ! ------------
|
---|
503 |
|
---|
504 | CALL message_set_routine(routine)
|
---|
505 |
|
---|
506 |
|
---|
507 | END SUBROUTINE ropp_apps_impact2geom
|
---|
508 |
|
---|
509 | ! ==============================================================================
|
---|
510 |
|
---|
511 | !****s* PlanetaryBoundaryLayerHeight/ropp_apps_pblh_locate *
|
---|
512 | !
|
---|
513 | ! NAME
|
---|
514 | ! ropp_apps_pblh_locate
|
---|
515 | !
|
---|
516 | ! SYNOPSIS
|
---|
517 | ! Locate planetary boundary layer height diagnostic by interpolating dlapse/dz
|
---|
518 | !
|
---|
519 | ! CALL ropp_apps_pblh_locate(pblh_index, var_x, var_y, var_grad, pblh, pblx)
|
---|
520 | !
|
---|
521 | ! DESCRIPTION
|
---|
522 | ! Hone PBLH estimate by find zero of lapse rate in vicinity of max/min.
|
---|
523 | !
|
---|
524 | ! INPUTS
|
---|
525 | ! REAL(wp), DIMENSION(:), INTENT(IN) :: var_x ! Variable
|
---|
526 | ! REAL(wp), DIMENSION(:), INTENT(IN) :: var_y ! Height
|
---|
527 | ! REAL(wp), DIMENSION(:), INTENT(IN) :: var_grad ! Gradient
|
---|
528 | ! INTEGER, INTENT(IN) :: pblh_index ! Location of max/min
|
---|
529 | !
|
---|
530 | ! OUTPUTS
|
---|
531 | ! REAL(wp), INTENT(OUT) :: pblh ! Height of PBL
|
---|
532 | ! REAL(wp), INTENT(OUT) :: pblx ! Variable at PBLH
|
---|
533 | ! INTEGER, INTENT(INOUT) :: pblh_qc_flag ! QC flag
|
---|
534 | !
|
---|
535 | ! AUTHOR
|
---|
536 | ! Met Office, Exeter, UK.
|
---|
537 | ! Any comments on this software should be given via the ROM SAF
|
---|
538 | ! Helpdesk at http://www.romsaf.org
|
---|
539 | !
|
---|
540 | ! COPYRIGHT
|
---|
541 | ! (c) EUMETSAT. All rights reserved.
|
---|
542 | ! For further details please refer to the file COPYRIGHT
|
---|
543 | ! which you should have received as part of this distribution.
|
---|
544 | !
|
---|
545 | !****
|
---|
546 |
|
---|
547 | SUBROUTINE ropp_apps_pblh_locate(pblh_index, var_x, var_y, var_grad, pblh, pblx, pblh_qc_flag)
|
---|
548 |
|
---|
549 | USE typesizes, ONLY: wp => EightByteReal
|
---|
550 | USE ropp_utils
|
---|
551 | USE ropp_io
|
---|
552 | USE ropp_apps_types
|
---|
553 |
|
---|
554 | IMPLICIT NONE
|
---|
555 |
|
---|
556 | ! I/O
|
---|
557 | REAL(wp), INTENT(OUT) :: pblh ! Height of PBL
|
---|
558 | REAL(wp), INTENT(OUT) :: pblx ! Variable at PBLH
|
---|
559 |
|
---|
560 | REAL(wp), DIMENSION(:), INTENT(IN) :: var_x
|
---|
561 | REAL(wp), DIMENSION(:), INTENT(IN) :: var_y
|
---|
562 | REAL(wp), DIMENSION(:), INTENT(IN) :: var_grad
|
---|
563 |
|
---|
564 | INTEGER, INTENT(IN) :: pblh_index
|
---|
565 | INTEGER, INTENT(INOUT) :: pblh_qc_flag
|
---|
566 |
|
---|
567 | ! Local
|
---|
568 | REAL(wp) :: dgamma_by_dz_m,dgamma_by_dz_p ! Lapse rates
|
---|
569 | REAL(wp) :: alpha, beta, dy_p, dy_m
|
---|
570 | INTEGER :: n_points1
|
---|
571 | CHARACTER(LEN=256) :: routine
|
---|
572 |
|
---|
573 | ! 1.1 Initialisation
|
---|
574 | ! ------------------
|
---|
575 |
|
---|
576 | CALL message_get_routine(routine)
|
---|
577 |
|
---|
578 | CALL message_set_routine('ropp_apps_pblh_locate')
|
---|
579 |
|
---|
580 | ! 1.2 Estimate location of PBLH by interpolating dlapse/dz
|
---|
581 | ! --------------------------------------------------------
|
---|
582 |
|
---|
583 | n_points1 = SIZE(var_x)
|
---|
584 |
|
---|
585 | IF (.NOT. BTEST(pblh_qc_flag, PBLH_QC_data_invalid)) THEN
|
---|
586 |
|
---|
587 | IF ( (pblh_index <= 2) .OR. (pblh_index >= (n_points1-1)) ) THEN
|
---|
588 |
|
---|
589 | CALL message(msg_diag, "Maximum gradient at top or bottom of profile \n")
|
---|
590 |
|
---|
591 | pblh = (var_y(MAX(pblh_index, 1)) + var_y(MIN(pblh_index+1, n_points1))) / 2.0_wp
|
---|
592 |
|
---|
593 | pblx = var_x(MAX(pblh_index, 1)) + & ! using var_grad between pblh_index and pblh_index+1
|
---|
594 | var_grad(MAX(pblh_index, 1)) * (pblh - var_y(MAX(pblh_index, 1)))
|
---|
595 |
|
---|
596 | ELSE
|
---|
597 |
|
---|
598 | CALL message(msg_diag, "Calculating PBLH by interpolating lapse rate gradient")
|
---|
599 |
|
---|
600 | dy_m = 0.5_wp * (var_y(pblh_index+1) - var_y(pblh_index-1)) ! at i=pblh_index
|
---|
601 | dy_p = 0.5_wp * (var_y(pblh_index+2) - var_y(pblh_index )) ! at i=pblh_index+1
|
---|
602 |
|
---|
603 | dgamma_by_dz_m = (var_grad(pblh_index ) - var_grad(pblh_index-1)) / dy_m ! at i=pblh_index
|
---|
604 |
|
---|
605 | dgamma_by_dz_p = (var_grad(pblh_index+1) - var_grad(pblh_index )) / dy_p ! at i=pblh_index+1
|
---|
606 |
|
---|
607 | IF ( (dgamma_by_dz_m*dgamma_by_dz_p > ropp_ZERO) .OR. &
|
---|
608 | (ABS(dgamma_by_dz_m-dgamma_by_dz_p) < ropp_ZDTV) ) THEN
|
---|
609 |
|
---|
610 | CALL message(msg_info, "Could not find PBLH by interpolating ... " // &
|
---|
611 | "leaving as missing data \n")
|
---|
612 | pblh_qc_flag = IBSET(pblh_qc_flag, PBLH_QC_data_invalid)
|
---|
613 |
|
---|
614 | ELSE
|
---|
615 |
|
---|
616 | ! Fit gamma = gamma(i*) + alpha*(y-y(i*)) + beta*(y-y(i*))^2 through (i*-1, i*, i*+1) where i*=pblh_index
|
---|
617 |
|
---|
618 | alpha = (dgamma_by_dz_p*dy_m + dgamma_by_dz_m*dy_p) / (dy_m + dy_p)
|
---|
619 |
|
---|
620 | beta = (dgamma_by_dz_p - dgamma_by_dz_m ) / (dy_m + dy_p)
|
---|
621 |
|
---|
622 | pblh = 0.5_wp * (var_y(pblh_index) + var_y(pblh_index+1)) - &
|
---|
623 | (0.5_wp*alpha/beta)
|
---|
624 |
|
---|
625 | pblx = 0.5_wp * (var_x(pblh_index) + var_x(pblh_index+1)) + &
|
---|
626 | (0.5_wp*alpha/beta)*(-var_grad(pblh_index) + (alpha**2/6.0_wp/beta))
|
---|
627 |
|
---|
628 | END IF
|
---|
629 |
|
---|
630 | END IF
|
---|
631 |
|
---|
632 | END IF
|
---|
633 |
|
---|
634 | ! 1.3 Clear up
|
---|
635 | ! ------------
|
---|
636 |
|
---|
637 | CALL message_set_routine(routine)
|
---|
638 |
|
---|
639 | END SUBROUTINE ropp_apps_pblh_locate
|
---|
640 |
|
---|
641 | ! ==============================================================================
|
---|
642 |
|
---|
643 | !****s* PlanetaryBoundaryLayerHeight/ropp_apps_pblh_check_min_height *
|
---|
644 | !
|
---|
645 | ! NAME
|
---|
646 | ! ropp_apps_pblh_check_min_height
|
---|
647 | !
|
---|
648 | ! SYNOPSIS
|
---|
649 | ! Check that the derived PBLH(s) is/are not less than pblh_min.
|
---|
650 | !
|
---|
651 | ! CALL ropp_apps_pblh_check_min_height(n_pblh, pblh_min, pblh1, pblx1, pblh2, pblx2, pblh_qc_flag)
|
---|
652 | !
|
---|
653 | ! DESCRIPTION
|
---|
654 | ! Check that (up to) 2 PBLHs are >= pblh_min
|
---|
655 | !
|
---|
656 | ! INPUTS
|
---|
657 | ! REAL(wp), INTENT(IN) :: pblh_min ! Minimum allowed PBLH
|
---|
658 | ! INTEGER, INTENT(IN) :: n_pblh ! No. of PBLHs
|
---|
659 | !
|
---|
660 | ! REAL(wp), INTENT(INOUT) :: pblh1, pblh2 ! Heights of PBL
|
---|
661 | ! REAL(wp), INTENT(INOUT) :: pblx1, pblx2 ! Variable at PBLH
|
---|
662 | ! INTEGER, INTENT(INOUT) :: pblh_qc_flag ! PBLH QC flag
|
---|
663 | !
|
---|
664 | ! OUTPUTS
|
---|
665 | ! REAL(wp), INTENT(INOUT) :: pblh1, pblh2 ! Heights of PBL
|
---|
666 | ! REAL(wp), INTENT(INOUT) :: pblx1, pblx2 ! Variable at PBLH
|
---|
667 | ! INTEGER, INTENT(INOUT) :: pblh_qc_flag ! PBLH QC flag
|
---|
668 | !
|
---|
669 | ! AUTHOR
|
---|
670 | ! Met Office, Exeter, UK.
|
---|
671 | ! Any comments on this software should be given via the ROM SAF
|
---|
672 | ! Helpdesk at http://www.romsaf.org
|
---|
673 | !
|
---|
674 | ! COPYRIGHT
|
---|
675 | ! (c) EUMETSAT. All rights reserved.
|
---|
676 | ! For further details please refer to the file COPYRIGHT
|
---|
677 | ! which you should have received as part of this distribution.
|
---|
678 | !
|
---|
679 | !****
|
---|
680 |
|
---|
681 | SUBROUTINE ropp_apps_pblh_check_min_height(n_pblh, pblh_min, pblh1, pblx1, pblh2, pblx2, pblh_qc_flag)
|
---|
682 |
|
---|
683 | USE typesizes, ONLY: wp => EightByteReal
|
---|
684 | USE ropp_utils
|
---|
685 | USE ropp_io
|
---|
686 | USE ropp_apps_types
|
---|
687 |
|
---|
688 | IMPLICIT NONE
|
---|
689 |
|
---|
690 | ! I/O
|
---|
691 | REAL(wp), INTENT(IN) :: pblh_min ! Minimum allowed PBLH
|
---|
692 | INTEGER, INTENT(IN) :: n_pblh ! No. of PBLHs
|
---|
693 |
|
---|
694 | REAL(wp), INTENT(INOUT) :: pblh1, pblh2 ! Heights of PBL
|
---|
695 | REAL(wp), INTENT(INOUT) :: pblx1, pblx2 ! Variable at PBLH
|
---|
696 | INTEGER, INTENT(INOUT) :: pblh_qc_flag ! PBLH QC flag
|
---|
697 |
|
---|
698 | ! Local
|
---|
699 | INTEGER :: n_pblh_temp ! No. of PBLHs
|
---|
700 | CHARACTER(LEN=7) :: str_pblh,str_pblh_min
|
---|
701 | CHARACTER(LEN=256) :: routine
|
---|
702 |
|
---|
703 | ! 1.1 Initialisation
|
---|
704 | ! ------------------
|
---|
705 |
|
---|
706 | CALL message_get_routine(routine)
|
---|
707 |
|
---|
708 | CALL message_set_routine('ropp_apps_pblh_check_min_height')
|
---|
709 |
|
---|
710 | CALL message(msg_diag, "Checking that the PBLH(s) is/are not too low")
|
---|
711 |
|
---|
712 | ! 1.2 Check PBLH(s) >= pblh_min
|
---|
713 | ! -----------------------------
|
---|
714 |
|
---|
715 | n_pblh_temp = n_pblh
|
---|
716 |
|
---|
717 | IF (n_pblh > 1) THEN
|
---|
718 |
|
---|
719 | IF ((pblh1 < pblh_min) .AND. (pblh1 > ropp_MDTV)) THEN
|
---|
720 | WRITE(str_pblh , FMT='(F7.3)') 1.0e-3_wp*pblh1
|
---|
721 | WRITE(str_pblh_min, FMT='(F7.3)') 1.0e-3_wp*pblh_min
|
---|
722 | CALL message(msg_info, "Derived PBLH of " // str_pblh // " km" // &
|
---|
723 | " is below minimum of " // str_pblh_min // " km")
|
---|
724 | pblh1 = ropp_MDFV
|
---|
725 | pblx1 = ropp_MDFV
|
---|
726 | n_pblh_temp = n_pblh_temp - 1
|
---|
727 | END IF
|
---|
728 |
|
---|
729 | IF ((pblh2 < pblh_min) .AND. (pblh2 > ropp_MDTV)) THEN
|
---|
730 | WRITE(str_pblh , FMT='(F7.3)') 1.0e-3_wp*pblh2
|
---|
731 | WRITE(str_pblh_min, FMT='(F7.3)') 1.0e-3_wp*pblh_min
|
---|
732 | CALL message(msg_info, "Derived PBLH of " // str_pblh // " km" // &
|
---|
733 | " is below minimum of " // str_pblh_min // " km")
|
---|
734 | pblh2 = ropp_MDFV
|
---|
735 | pblx2 = ropp_MDFV
|
---|
736 | n_pblh_temp = n_pblh_temp - 1
|
---|
737 | END IF
|
---|
738 |
|
---|
739 | IF ((pblh1 < ropp_MDTV) .AND. (pblh2 < ropp_MDTV)) THEN
|
---|
740 | pblh_qc_flag = IBSET(pblh_qc_flag, PBLH_QC_too_low)
|
---|
741 | ELSE
|
---|
742 | IF (pblh1 < ropp_MDTV) THEN ! swap them around
|
---|
743 | pblh1 = pblh2 ; pblh2 = ropp_MDFV
|
---|
744 | pblx1 = pblx2 ; pblx2 = ropp_MDFV
|
---|
745 | END IF
|
---|
746 | END IF
|
---|
747 |
|
---|
748 | ELSE ! n_pblh = 1
|
---|
749 |
|
---|
750 | IF ((pblh1 < pblh_min) .AND. (pblh1 > ropp_MDTV)) THEN
|
---|
751 | WRITE(str_pblh , FMT='(F7.3)') 1.0e-3_wp*pblh1
|
---|
752 | WRITE(str_pblh_min, FMT='(F7.3)') 1.0e-3_wp*pblh_min
|
---|
753 | CALL message(msg_info, "Derived PBLH of " // str_pblh // " km" // &
|
---|
754 | " is below minimum of " // str_pblh_min // " km")
|
---|
755 | pblh1 = ropp_MDFV
|
---|
756 | pblx1 = ropp_MDFV
|
---|
757 | pblh_qc_flag = IBSET(pblh_qc_flag, PBLH_QC_too_low)
|
---|
758 | n_pblh_temp = n_pblh_temp - 1
|
---|
759 | END IF
|
---|
760 |
|
---|
761 | END IF
|
---|
762 |
|
---|
763 | ! 1.3 Reset PBLH_QC_flag if necessary
|
---|
764 | ! -----------------------------------
|
---|
765 |
|
---|
766 | SELECT CASE (n_pblh_temp)
|
---|
767 |
|
---|
768 | CASE(:1)
|
---|
769 | pblh_qc_flag = IBCLR(pblh_qc_flag, PBLH_QC_double_pblh)
|
---|
770 | pblh_qc_flag = IBCLR(pblh_qc_flag, PBLH_QC_multiple_pblh)
|
---|
771 |
|
---|
772 | CASE(2)
|
---|
773 | pblh_qc_flag = IBSET(pblh_qc_flag, PBLH_QC_double_pblh)
|
---|
774 | pblh_qc_flag = IBCLR(pblh_qc_flag, PBLH_QC_multiple_pblh)
|
---|
775 |
|
---|
776 | CASE(3:)
|
---|
777 | pblh_qc_flag = IBCLR(pblh_qc_flag, PBLH_QC_double_pblh)
|
---|
778 | pblh_qc_flag = IBSET(pblh_qc_flag, PBLH_QC_multiple_pblh)
|
---|
779 |
|
---|
780 | END SELECT
|
---|
781 |
|
---|
782 | ! 1.4 Clear up
|
---|
783 | ! ------------
|
---|
784 |
|
---|
785 | CALL message_set_routine(routine)
|
---|
786 |
|
---|
787 | END SUBROUTINE ropp_apps_pblh_check_min_height
|
---|
788 |
|
---|
789 | ! ==============================================================================
|
---|
790 |
|
---|
791 | !****s* PlanetaryBoundaryLayerHeight/ropp_apps_pblh_check_max_height *
|
---|
792 | !
|
---|
793 | ! NAME
|
---|
794 | ! ropp_apps_pblh_check_max_height
|
---|
795 | !
|
---|
796 | ! SYNOPSIS
|
---|
797 | ! Check that the derived PBLH(s) is/are not greater than pblh_max.
|
---|
798 | !
|
---|
799 | ! CALL ropp_apps_pblh_check_max_height(n_pblh, pblh_max, pblh1, pblx1, pblh2, pblx2, pblh_qc_flag)
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800 | !
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801 | ! DESCRIPTION
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802 | ! Check that (up to) 2 PBLHs are <= pblh_max
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803 | !
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804 | ! INPUTS
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805 | ! REAL(wp), INTENT(IN) :: pblh_max ! Maximum allowed PBLH
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806 | ! INTEGER, INTENT(IN) :: n_pblh ! No. of PBLHs
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807 | !
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808 | ! REAL(wp), INTENT(INOUT) :: pblh1, pblh2 ! Heights of PBL
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809 | ! REAL(wp), INTENT(INOUT) :: pblx1, pblx2 ! Variable at PBLH
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810 | ! INTEGER, INTENT(INOUT) :: pblh_qc_flag ! PBLH QC flag
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811 | !
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812 | ! OUTPUTS
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813 | ! REAL(wp), INTENT(INOUT) :: pblh1, pblh2 ! Heights of PBL
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814 | ! REAL(wp), INTENT(INOUT) :: pblx1, pblx2 ! Variable at PBLH
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815 | ! INTEGER, INTENT(INOUT) :: pblh_qc_flag ! PBLH QC flag
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816 | !
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817 | ! AUTHOR
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818 | ! Met Office, Exeter, UK.
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819 | ! Any comments on this software should be given via the ROM SAF
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820 | ! Helpdesk at http://www.romsaf.org
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821 | !
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822 | ! COPYRIGHT
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823 | ! (c) EUMETSAT. All rights reserved.
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824 | ! For further details please refer to the file COPYRIGHT
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825 | ! which you should have received as part of this distribution.
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826 | !
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827 | !****
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828 |
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829 | SUBROUTINE ropp_apps_pblh_check_max_height(n_pblh, pblh_max, pblh1, pblx1, pblh2, pblx2, pblh_qc_flag)
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830 |
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831 | USE typesizes, ONLY: wp => EightByteReal
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832 | USE ropp_utils
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833 | USE ropp_io
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834 | USE ropp_apps_types
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835 |
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836 | IMPLICIT NONE
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837 |
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838 | ! I/O
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839 | REAL(wp), INTENT(IN) :: pblh_max ! Maximum allowed PBLH
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840 | INTEGER, INTENT(IN) :: n_pblh ! No. of PBLHs
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841 |
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842 | REAL(wp), INTENT(INOUT) :: pblh1, pblh2 ! Heights of PBL
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843 | REAL(wp), INTENT(INOUT) :: pblx1, pblx2 ! Variable at PBLH
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844 | INTEGER, INTENT(INOUT) :: pblh_qc_flag ! PBLH QC flag
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845 |
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846 | ! Local
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847 | INTEGER :: n_pblh_temp ! No. of PBLHs
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848 | CHARACTER(LEN=7) :: str_pblh,str_pblh_max
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849 | CHARACTER(LEN=256) :: routine
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850 |
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851 | ! 1.1 Initialisation
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852 | ! ------------------
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853 |
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854 | CALL message_get_routine(routine)
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855 |
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856 | CALL message_set_routine('ropp_apps_pblh_check_max_height')
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857 |
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858 | CALL message(msg_diag, "Checking that the PBLH(s) is/are not too high")
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859 |
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860 | ! 1.2 Check PBLH(s) <= pblh_max
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861 | ! -----------------------------
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862 |
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863 | n_pblh_temp = n_pblh
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864 |
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865 | IF (n_pblh > 1) THEN
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866 |
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867 | IF ((pblh1 > pblh_max) .AND. (pblh1 > ropp_MDTV)) THEN
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868 | WRITE(str_pblh , FMT='(F7.3)') 1.0e-3_wp*pblh1
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869 | WRITE(str_pblh_max, FMT='(F7.3)') 1.0e-3_wp*pblh_max
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870 | CALL message(msg_info, "Derived PBLH of " // str_pblh // " km" // &
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871 | " is above maximum of " // str_pblh_max // " km")
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872 | pblh1 = ropp_MDFV
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873 | pblx1 = ropp_MDFV
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874 | n_pblh_temp = n_pblh_temp - 1
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875 | END IF
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876 |
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877 | IF ((pblh2 > pblh_max) .AND. (pblh2 > ropp_MDTV)) THEN
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878 | WRITE(str_pblh , FMT='(F7.3)') 1.0e-3_wp*pblh2
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879 | WRITE(str_pblh_max, FMT='(F7.3)') 1.0e-3_wp*pblh_max
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880 | CALL message(msg_info, "Derived PBLH of " // str_pblh // " km" // &
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881 | " is above maximum of " // str_pblh_max // " km")
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882 | pblh2 = ropp_MDFV
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883 | pblx2 = ropp_MDFV
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884 | n_pblh_temp = n_pblh_temp - 1
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885 | END IF
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886 |
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887 | IF ((pblh1 < ropp_MDTV) .AND. (pblh2 < ropp_MDTV)) THEN
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888 | pblh_qc_flag = IBSET(pblh_qc_flag, PBLH_QC_too_high)
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889 | ELSE
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890 | IF (pblh1 < ropp_MDTV) THEN ! swap them around
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891 | pblh1 = pblh2 ; pblh2 = ropp_MDFV
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892 | pblx1 = pblx2 ; pblx2 = ropp_MDFV
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893 | END IF
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894 | END IF
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895 |
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896 | ELSE ! n_pblh = 1
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897 |
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898 | IF ((pblh1 > pblh_max) .AND. (pblh1 > ropp_MDTV)) THEN
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899 | WRITE(str_pblh , FMT='(F7.3)') 1.0e-3_wp*pblh1
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900 | WRITE(str_pblh_max, FMT='(F7.3)') 1.0e-3_wp*pblh_max
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901 | CALL message(msg_info, "Derived PBLH of " // str_pblh // " km" // &
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902 | " is above maximum of " // str_pblh_max // " km")
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903 | pblh1 = ropp_MDFV
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904 | pblx1 = ropp_MDFV
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905 | pblh_qc_flag = IBSET(pblh_qc_flag, PBLH_QC_too_high)
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906 | n_pblh_temp = n_pblh_temp - 1
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907 | END IF
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908 |
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909 | END IF
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910 |
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911 | ! 1.3 Reset PBLH_QC_flag if necessary
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912 | ! -----------------------------------
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913 |
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914 | SELECT CASE (n_pblh_temp)
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915 |
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916 | CASE(:1)
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917 | pblh_qc_flag = IBCLR(pblh_qc_flag, PBLH_QC_double_pblh)
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918 | pblh_qc_flag = IBCLR(pblh_qc_flag, PBLH_QC_multiple_pblh)
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919 |
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920 | CASE(2)
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921 | pblh_qc_flag = IBSET(pblh_qc_flag, PBLH_QC_double_pblh)
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922 | pblh_qc_flag = IBCLR(pblh_qc_flag, PBLH_QC_multiple_pblh)
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923 |
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924 | CASE(3:)
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925 | pblh_qc_flag = IBCLR(pblh_qc_flag, PBLH_QC_double_pblh)
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926 | pblh_qc_flag = IBSET(pblh_qc_flag, PBLH_QC_multiple_pblh)
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927 |
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928 | END SELECT
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929 |
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930 | ! 1.4 Clear up
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931 | ! ------------
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932 |
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933 | CALL message_set_routine(routine)
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934 |
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935 | END SUBROUTINE ropp_apps_pblh_check_max_height
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936 |
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937 | ! ==============================================================================
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938 |
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939 | !****f* APPSUtils/ropp_apps_interpol_1d *
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940 | !
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941 | ! NAME
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942 | ! ropp_apps_interpol_1d - interpolate in 1D
|
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943 | !
|
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944 | ! SYNOPSIS
|
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945 | ! y_out = ropp_apps_interpol_1d(x_in, y_in, x_out, flat)
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946 | !
|
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947 | !****
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948 | FUNCTION ropp_apps_interpol_1d(x_in, y_in, x_out, flat) RESULT (y_out)
|
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949 |
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950 | ! Linearly interpolates 1d arrays, with constant or linear extrapolation.
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951 | ! Assumes x_in and x_out are monotonically increasing.
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952 |
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953 | USE typesizes, ONLY: wp => EightByteReal
|
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954 | ! USE ropp_apps_utils, not_this => ropp_apps_interpol
|
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955 |
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956 | REAL(wp), DIMENSION(:), INTENT(IN) :: x_in, y_in, x_out
|
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957 | REAL(wp), DIMENSION(SIZE(x_out)) :: y_out
|
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958 | LOGICAL, OPTIONAL :: flat ! If you want flat extrapolation
|
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959 |
|
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960 | REAL(wp) :: grad
|
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961 | INTEGER :: i_in, i_out, n_in, n_out
|
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962 | LOGICAL :: l_flat
|
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963 |
|
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964 | n_in = SIZE(x_in)
|
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965 | n_out = SIZE(x_out)
|
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966 |
|
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967 | l_flat = .FALSE.
|
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968 | IF ( PRESENT(flat) ) l_flat = flat
|
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969 |
|
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970 | DO i_out=1,n_out
|
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971 |
|
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972 | grad = 0.0_wp
|
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973 |
|
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974 | IF ( x_out(i_out) <= x_in(1) ) THEN
|
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975 | i_in = 1
|
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976 | IF ( .NOT. l_flat ) grad = (y_in(i_in+1) - y_in(i_in)) / (x_in(i_in+1) - x_in(i_in))
|
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977 | ELSE IF ( x_out(i_out) >= x_in(n_in) ) THEN
|
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978 | i_in = n_in
|
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979 | IF ( .NOT. l_flat ) grad = (y_in(i_in) - y_in(i_in-1)) / (x_in(i_in) - x_in(i_in-1))
|
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980 | ELSE
|
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981 | i_in = SUM ( MINLOC ( x_out(i_out)-x_in, MASK=(x_out(i_out)-x_in >= 0) ) )
|
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982 | grad = (y_in(i_in+1) - y_in(i_in)) / (x_in(i_in+1) - x_in(i_in))
|
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983 | END IF
|
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984 |
|
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985 | y_out(i_out) = y_in(i_in) + grad * (x_out(i_out) - x_in(i_in)) ! Linear (inter/extra)polation
|
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986 |
|
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987 | END DO
|
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988 |
|
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989 | END FUNCTION ropp_apps_interpol_1d
|
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990 |
|
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991 |
|
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992 | END MODULE ropp_apps_utils
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