1 | ! radiation_flux.F90 - Derived type to store the output fluxes |
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2 | ! |
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3 | ! (C) Copyright 2014- ECMWF. |
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4 | ! |
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5 | ! This software is licensed under the terms of the Apache Licence Version 2.0 |
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6 | ! which can be obtained at http://www.apache.org/licenses/LICENSE-2.0. |
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7 | ! |
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8 | ! In applying this licence, ECMWF does not waive the privileges and immunities |
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9 | ! granted to it by virtue of its status as an intergovernmental organisation |
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10 | ! nor does it submit to any jurisdiction. |
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11 | ! |
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12 | ! Author: Robin Hogan |
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13 | ! Email: r.j.hogan@ecmwf.int |
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14 | ! |
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15 | ! Modifications |
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16 | ! 2017-09-08 R. Hogan Store g-point fluxes |
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17 | ! 2017-10-23 R. Hogan Renamed single-character variables |
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18 | ! 2019-01-08 R. Hogan Added "indexed_sum_profile" |
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19 | ! 2019-01-14 R. Hogan out_of_physical_bounds calls routine in radiation_config |
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20 | ! 2021-01-20 R. Hogan Added heating_rate_out_of_physical_bounds function |
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21 | ! 2022-12-07 R. Hogan Added top-of-atmosphere spectral output |
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22 | |
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23 | module radiation_flux |
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24 | |
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25 | use parkind1, only : jprb |
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26 | |
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27 | implicit none |
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28 | public |
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29 | |
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30 | !--------------------------------------------------------------------- |
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31 | ! This derived type contains the output from the radiation |
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32 | ! calculation. Currently this is solely flux profiles, but in |
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33 | ! future surface fluxes in each band may be stored in order that the |
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34 | ! calling program can compute surface-radiation such as |
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35 | ! photosynthetically active radiation and UV index. |
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36 | type flux_type |
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37 | ! All the following are broad-band fluxes in W m-2 with |
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38 | ! dimensions (ncol,nlev+1). Note that only those fluxes that are |
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39 | ! requested will be used, so clear-sky and direct-beam arrays may |
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40 | ! not be allocated |
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41 | real(jprb), allocatable, dimension(:,:) :: & |
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42 | & lw_up, lw_dn, & ! Upwelling and downwelling longwave |
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43 | & sw_up, sw_dn, & ! Upwelling and downwelling shortwave |
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44 | & sw_dn_direct, & ! Direct-beam shortwave into a horizontal plane |
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45 | & lw_up_clear, lw_dn_clear, & ! Clear-sky quantities... |
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46 | & sw_up_clear, sw_dn_clear, & |
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47 | & sw_dn_direct_clear |
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48 | ! As above but fluxes in each spectral band in W m-2 with |
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49 | ! dimensions (nband,ncol,nlev+1). These are only allocated if |
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50 | ! config%do_save_spectral_flux==.true. |
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51 | real(jprb), allocatable, dimension(:,:,:) :: & |
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52 | & lw_up_band, lw_dn_band, & ! Upwelling and downwelling longwave |
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53 | & sw_up_band, sw_dn_band, & ! Upwelling and downwelling shortwave |
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54 | & sw_dn_direct_band, & ! Direct-beam shortwave |
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55 | & lw_up_clear_band, lw_dn_clear_band, & ! Clear-sky quantities... |
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56 | & sw_up_clear_band, sw_dn_clear_band, & |
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57 | & sw_dn_direct_clear_band |
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58 | ! Surface downwelling quantities at each g point, dimensioned |
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59 | ! (ng,ncol), that are always saved by the solver, except for the |
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60 | ! clear-sky ones that are only produced if |
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61 | ! config%do_clear==.true. |
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62 | real(jprb), allocatable, dimension(:,:) :: & |
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63 | & lw_dn_surf_g, lw_dn_surf_clear_g, & |
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64 | & sw_dn_diffuse_surf_g, sw_dn_direct_surf_g, & |
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65 | & sw_dn_diffuse_surf_clear_g, sw_dn_direct_surf_clear_g |
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66 | ! Top-of-atmosphere quantities at each g point, dimensioned |
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67 | ! (ng,ncol), that are always saved by the solver, except for the |
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68 | ! clear-sky ones that are only produced if |
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69 | ! config%do_clear==.true. |
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70 | real(jprb), allocatable, dimension(:,:) :: & |
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71 | & lw_up_toa_g, lw_up_toa_clear_g, & |
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72 | & sw_dn_toa_g, sw_up_toa_g, sw_up_toa_clear_g |
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73 | ! Shortwave downwelling spectral fluxes in W m-2 at the surface, |
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74 | ! from which quantities such as photosynthetically active and UV |
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75 | ! radiation can be computed. Only allocated if |
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76 | ! config%do_surface_sw_spectral_flux==.true. Note that the |
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77 | ! clear-sky quantities are only computed if |
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78 | ! config%do_clear==.true., but direct fluxes are computed whether |
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79 | ! or not do_direct==.true.. The dimensions are (nband,ncol). |
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80 | real(jprb), allocatable, dimension(:,:) :: & |
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81 | & sw_dn_surf_band, sw_dn_direct_surf_band, & |
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82 | & sw_dn_surf_clear_band, sw_dn_direct_surf_clear_band |
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83 | ! Top-of-atmosphere spectral fluxes in W m-2. Only allocated if |
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84 | ! config%do_toa_spectral_flux=.true.. Note that the clear-sky |
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85 | ! quantities are only computed if config%do_clear==.true.. The |
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86 | ! dimensions are (nband,ncol). |
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87 | real(jprb), allocatable, dimension(:,:) :: & |
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88 | & lw_up_toa_band, lw_up_toa_clear_band, & |
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89 | & sw_dn_toa_band, sw_up_toa_band, sw_up_toa_clear_band |
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90 | ! Surface downwelling fluxes in W m-2 at the spectral resolution |
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91 | ! needed by any subsequent canopy radiative transfer. If |
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92 | ! config%use_canopy_full_spectrum_[sw|lw] then these will be at |
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93 | ! g-point resolution; otherwise they will be at |
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94 | ! config%n_albedo_bands and config%n_emiss_bands resolution. |
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95 | real(jprb), allocatable, dimension(:,:) :: & |
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96 | & lw_dn_surf_canopy, & |
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97 | & sw_dn_diffuse_surf_canopy, sw_dn_direct_surf_canopy |
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98 | |
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99 | ! Diagnosed cloud cover from the short- and long-wave solvers |
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100 | real(jprb), allocatable, dimension(:) :: & |
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101 | & cloud_cover_lw, cloud_cover_sw |
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102 | ! Longwave derivatives needed by Hogan and Bozzo (2015) method |
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103 | ! for approximate longwave updates in between the full radiation |
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104 | ! calls: rate of change of upwelling broad-band flux with respect |
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105 | ! to surface value, dimensioned (ncol,nlev+1) |
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106 | real(jprb), allocatable, dimension(:,:) :: & |
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107 | & lw_derivatives |
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108 | |
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109 | contains |
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110 | procedure :: allocate => allocate_flux_type |
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111 | procedure :: deallocate => deallocate_flux_type |
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112 | procedure :: calc_surface_spectral |
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113 | procedure :: calc_toa_spectral |
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114 | procedure :: out_of_physical_bounds |
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115 | procedure :: heating_rate_out_of_physical_bounds |
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116 | end type flux_type |
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117 | |
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118 | ! Added for DWD (2020) |
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119 | #ifdef __SX__ |
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120 | logical, parameter :: use_indexed_sum_vec = .true. |
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121 | #else |
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122 | logical, parameter :: use_indexed_sum_vec = .false. |
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123 | #endif |
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124 | |
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125 | contains |
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126 | |
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127 | !--------------------------------------------------------------------- |
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128 | ! Allocate arrays for flux profiles, using config to define which |
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129 | ! fluxes are needed. The arrays are dimensioned for columns between |
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130 | ! istartcol, iendcol and levels from 1 to nlev+1 |
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131 | subroutine allocate_flux_type(this, config, istartcol, iendcol, nlev) |
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132 | |
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133 | use yomhook, only : lhook, dr_hook, jphook |
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134 | use radiation_io, only : nulerr, radiation_abort |
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135 | use radiation_config, only : config_type |
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136 | |
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137 | integer, intent(in) :: istartcol, iendcol, nlev |
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138 | class(flux_type), intent(inout) :: this |
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139 | type(config_type), intent(in) :: config |
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140 | |
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141 | real(jphook) :: hook_handle |
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142 | |
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143 | if (lhook) call dr_hook('radiation_flux:allocate',0,hook_handle) |
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144 | |
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145 | ! Allocate longwave arrays |
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146 | if (config%do_lw) then |
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147 | allocate(this%lw_up(istartcol:iendcol,nlev+1)) |
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148 | allocate(this%lw_dn(istartcol:iendcol,nlev+1)) |
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149 | if (config%do_clear) then |
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150 | allocate(this%lw_up_clear(istartcol:iendcol,nlev+1)) |
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151 | allocate(this%lw_dn_clear(istartcol:iendcol,nlev+1)) |
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152 | end if |
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153 | |
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154 | if (config%do_save_spectral_flux) then |
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155 | if (config%n_spec_lw == 0) then |
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156 | write(nulerr,'(a)') '*** Error: number of LW spectral points to save not yet defined ' & |
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157 | & // 'so cannot allocate spectral flux arrays' |
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158 | call radiation_abort() |
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159 | end if |
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160 | |
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161 | allocate(this%lw_up_band(config%n_spec_lw,istartcol:iendcol,nlev+1)) |
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162 | allocate(this%lw_dn_band(config%n_spec_lw,istartcol:iendcol,nlev+1)) |
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163 | if (config%do_clear) then |
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164 | allocate(this%lw_up_clear_band(config%n_spec_lw, & |
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165 | & istartcol:iendcol,nlev+1)) |
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166 | allocate(this%lw_dn_clear_band(config%n_spec_lw, & |
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167 | & istartcol:iendcol,nlev+1)) |
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168 | end if |
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169 | end if |
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170 | |
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171 | if (config%do_lw_derivatives) then |
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172 | allocate(this%lw_derivatives(istartcol:iendcol,nlev+1)) |
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173 | end if |
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174 | |
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175 | if (config%do_toa_spectral_flux) then |
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176 | if (config%n_bands_lw == 0) then |
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177 | write(nulerr,'(a)') '*** Error: number of LW bands not yet defined ' & |
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178 | & // 'so cannot allocate TOA spectral flux arrays' |
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179 | call radiation_abort() |
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180 | end if |
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181 | allocate(this%lw_up_toa_band(config%n_bands_lw, istartcol:iendcol)) |
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182 | if (config%do_clear) then |
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183 | allocate(this%lw_up_toa_clear_band(config%n_bands_lw, istartcol:iendcol)) |
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184 | end if |
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185 | end if |
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186 | |
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187 | ! Allocate g-point downwelling fluxes at surface, and TOA fluxes |
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188 | allocate(this%lw_dn_surf_g(config%n_g_lw,istartcol:iendcol)) |
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189 | allocate(this%lw_up_toa_g (config%n_g_lw,istartcol:iendcol)) |
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190 | if (config%do_clear) then |
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191 | allocate(this%lw_dn_surf_clear_g(config%n_g_lw,istartcol:iendcol)) |
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192 | allocate(this%lw_up_toa_clear_g (config%n_g_lw,istartcol:iendcol)) |
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193 | end if |
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194 | |
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195 | if (config%do_canopy_fluxes_lw) then |
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196 | ! Downward fluxes at top of canopy at the spectral resolution |
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197 | ! used in the canopy radiative transfer scheme |
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198 | allocate(this%lw_dn_surf_canopy(config%n_canopy_bands_lw,istartcol:iendcol)) |
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199 | end if |
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200 | end if |
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201 | |
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202 | ! Allocate shortwave arrays |
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203 | if (config%do_sw) then |
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204 | allocate(this%sw_up(istartcol:iendcol,nlev+1)) |
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205 | allocate(this%sw_dn(istartcol:iendcol,nlev+1)) |
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206 | if (config%do_sw_direct) then |
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207 | allocate(this%sw_dn_direct(istartcol:iendcol,nlev+1)) |
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208 | end if |
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209 | if (config%do_clear) then |
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210 | allocate(this%sw_up_clear(istartcol:iendcol,nlev+1)) |
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211 | allocate(this%sw_dn_clear(istartcol:iendcol,nlev+1)) |
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212 | if (config%do_sw_direct) then |
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213 | allocate(this%sw_dn_direct_clear(istartcol:iendcol,nlev+1)) |
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214 | end if |
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215 | end if |
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216 | |
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217 | if (config%do_save_spectral_flux) then |
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218 | if (config%n_spec_sw == 0) then |
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219 | write(nulerr,'(a)') '*** Error: number of SW spectral points to save not yet defined ' & |
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220 | & // 'so cannot allocate spectral flux arrays' |
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221 | call radiation_abort() |
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222 | end if |
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223 | |
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224 | allocate(this%sw_up_band(config%n_spec_sw,istartcol:iendcol,nlev+1)) |
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225 | allocate(this%sw_dn_band(config%n_spec_sw,istartcol:iendcol,nlev+1)) |
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226 | |
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227 | if (config%do_sw_direct) then |
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228 | allocate(this%sw_dn_direct_band(config%n_spec_sw, & |
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229 | & istartcol:iendcol,nlev+1)) |
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230 | end if |
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231 | if (config%do_clear) then |
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232 | allocate(this%sw_up_clear_band(config%n_spec_sw, & |
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233 | & istartcol:iendcol,nlev+1)) |
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234 | allocate(this%sw_dn_clear_band(config%n_spec_sw, & |
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235 | & istartcol:iendcol,nlev+1)) |
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236 | if (config%do_sw_direct) then |
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237 | allocate(this%sw_dn_direct_clear_band(config%n_spec_sw, & |
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238 | & istartcol:iendcol, nlev+1)) |
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239 | end if |
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240 | end if |
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241 | end if |
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242 | |
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243 | if (config%do_surface_sw_spectral_flux) then |
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244 | if (config%n_bands_sw == 0) then |
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245 | write(nulerr,'(a)') '*** Error: number of SW bands not yet defined ' & |
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246 | & // 'so cannot allocate TOA spectral flux arrays' |
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247 | call radiation_abort() |
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248 | end if |
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249 | allocate(this%sw_dn_surf_band(config%n_bands_sw,istartcol:iendcol)) |
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250 | allocate(this%sw_dn_direct_surf_band(config%n_bands_sw,istartcol:iendcol)) |
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251 | if (config%do_clear) then |
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252 | allocate(this%sw_dn_surf_clear_band(config%n_bands_sw, & |
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253 | & istartcol:iendcol)) |
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254 | allocate(this%sw_dn_direct_surf_clear_band(config%n_bands_sw, & |
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255 | & istartcol:iendcol)) |
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256 | end if |
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257 | end if |
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258 | |
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259 | if (config%do_toa_spectral_flux) then |
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260 | if (config%n_bands_sw == 0) then |
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261 | write(nulerr,'(a)') '*** Error: number of SW bands not yet defined ' & |
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262 | & // 'so cannot allocate surface spectral flux arrays' |
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263 | call radiation_abort() |
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264 | end if |
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265 | allocate(this%sw_dn_toa_band(config%n_bands_sw, istartcol:iendcol)) |
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266 | allocate(this%sw_up_toa_band(config%n_bands_sw, istartcol:iendcol)) |
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267 | if (config%do_clear) then |
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268 | allocate(this%sw_up_toa_clear_band(config%n_bands_sw, istartcol:iendcol)) |
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269 | end if |
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270 | end if |
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271 | |
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272 | ! Allocate g-point downwelling fluxes at surface, and TOA fluxes |
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273 | allocate(this%sw_dn_diffuse_surf_g(config%n_g_sw,istartcol:iendcol)) |
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274 | allocate(this%sw_dn_direct_surf_g (config%n_g_sw,istartcol:iendcol)) |
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275 | allocate(this%sw_dn_toa_g (config%n_g_sw,istartcol:iendcol)) |
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276 | allocate(this%sw_up_toa_g (config%n_g_sw,istartcol:iendcol)) |
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277 | if (config%do_clear) then |
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278 | allocate(this%sw_dn_diffuse_surf_clear_g(config%n_g_sw,istartcol:iendcol)) |
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279 | allocate(this%sw_dn_direct_surf_clear_g (config%n_g_sw,istartcol:iendcol)) |
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280 | allocate(this%sw_up_toa_clear_g (config%n_g_sw,istartcol:iendcol)) |
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281 | end if |
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282 | |
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283 | if (config%do_canopy_fluxes_sw) then |
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284 | ! Downward fluxes at top of canopy at the spectral resolution |
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285 | ! used in the canopy radiative transfer scheme |
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286 | allocate(this%sw_dn_diffuse_surf_canopy(config%n_canopy_bands_sw,istartcol:iendcol)) |
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287 | allocate(this%sw_dn_direct_surf_canopy (config%n_canopy_bands_sw,istartcol:iendcol)) |
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288 | end if |
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289 | end if |
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290 | |
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291 | ! Allocate cloud cover arrays |
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292 | allocate(this%cloud_cover_lw(istartcol:iendcol)) |
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293 | allocate(this%cloud_cover_sw(istartcol:iendcol)) |
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294 | |
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295 | ! Some solvers may not write to cloud cover, so we initialize to |
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296 | ! an unphysical value |
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297 | this%cloud_cover_lw = -1.0_jprb |
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298 | this%cloud_cover_sw = -1.0_jprb |
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299 | |
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300 | if (lhook) call dr_hook('radiation_flux:allocate',1,hook_handle) |
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301 | |
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302 | end subroutine allocate_flux_type |
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303 | |
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304 | |
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305 | !--------------------------------------------------------------------- |
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306 | ! Deallocate flux arrays |
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307 | subroutine deallocate_flux_type(this) |
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308 | |
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309 | use yomhook, only : lhook, dr_hook, jphook |
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310 | |
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311 | class(flux_type), intent(inout) :: this |
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312 | real(jphook) :: hook_handle |
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313 | |
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314 | if (lhook) call dr_hook('radiation_flux:deallocate',0,hook_handle) |
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315 | |
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316 | if (allocated(this%lw_up)) then |
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317 | deallocate(this%lw_up) |
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318 | if (allocated(this%lw_dn)) deallocate(this%lw_dn) |
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319 | if (allocated(this%lw_up_clear)) deallocate(this%lw_up_clear) |
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320 | if (allocated(this%lw_dn_clear)) deallocate(this%lw_dn_clear) |
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321 | end if |
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322 | |
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323 | if (allocated(this%sw_up)) then |
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324 | deallocate(this%sw_up) |
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325 | if (allocated(this%sw_dn)) deallocate(this%sw_dn) |
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326 | if (allocated(this%sw_up_clear)) deallocate(this%sw_up_clear) |
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327 | if (allocated(this%sw_dn_clear)) deallocate(this%sw_dn_clear) |
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328 | if (allocated(this%sw_dn_direct)) deallocate(this%sw_dn_direct) |
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329 | if (allocated(this%sw_dn_direct_clear)) & |
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330 | & deallocate(this%sw_dn_direct_clear) |
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331 | end if |
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332 | |
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333 | if (allocated(this%lw_up_band)) then |
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334 | deallocate(this%lw_up_band) |
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335 | if (allocated(this%lw_dn_band)) deallocate(this%lw_dn_band) |
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336 | if (allocated(this%lw_up_clear_band)) deallocate(this%lw_up_clear_band) |
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337 | if (allocated(this%lw_dn_clear_band)) deallocate(this%lw_dn_clear_band) |
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338 | end if |
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339 | |
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340 | if (allocated(this%sw_up_band)) then |
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341 | deallocate(this%sw_up_band) |
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342 | if (allocated(this%sw_dn_band)) deallocate(this%sw_dn_band) |
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343 | if (allocated(this%sw_up_clear_band)) deallocate(this%sw_up_clear_band) |
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344 | if (allocated(this%sw_dn_clear_band)) deallocate(this%sw_dn_clear_band) |
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345 | if (allocated(this%sw_dn_direct_band)) deallocate(this%sw_dn_direct_band) |
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346 | if (allocated(this%sw_dn_direct_clear_band)) & |
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347 | & deallocate(this%sw_dn_direct_clear_band) |
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348 | end if |
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349 | |
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350 | if (allocated(this%sw_dn_surf_band)) then |
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351 | deallocate(this%sw_dn_surf_band) |
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352 | deallocate(this%sw_dn_direct_surf_band) |
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353 | end if |
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354 | if (allocated(this%sw_dn_surf_clear_band)) then |
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355 | deallocate(this%sw_dn_surf_clear_band) |
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356 | deallocate(this%sw_dn_direct_surf_clear_band) |
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357 | end if |
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358 | |
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359 | if (allocated(this%lw_dn_surf_canopy)) deallocate(this%lw_dn_surf_canopy) |
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360 | if (allocated(this%sw_dn_diffuse_surf_canopy)) deallocate(this%sw_dn_diffuse_surf_canopy) |
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361 | if (allocated(this%sw_dn_direct_surf_canopy)) deallocate(this%sw_dn_direct_surf_canopy) |
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362 | |
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363 | if (allocated(this%cloud_cover_sw)) then |
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364 | deallocate(this%cloud_cover_sw) |
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365 | end if |
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366 | if (allocated(this%cloud_cover_lw)) then |
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367 | deallocate(this%cloud_cover_lw) |
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368 | end if |
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369 | |
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370 | if (allocated(this%lw_derivatives)) then |
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371 | deallocate(this%lw_derivatives) |
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372 | end if |
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373 | |
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374 | if (allocated(this%lw_dn_surf_g)) deallocate(this%lw_dn_surf_g) |
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375 | if (allocated(this%lw_dn_surf_clear_g)) deallocate(this%lw_dn_surf_clear_g) |
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376 | if (allocated(this%sw_dn_diffuse_surf_g)) deallocate(this%sw_dn_diffuse_surf_g) |
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377 | if (allocated(this%sw_dn_direct_surf_g)) deallocate(this%sw_dn_direct_surf_g) |
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378 | if (allocated(this%sw_dn_diffuse_surf_clear_g)) deallocate(this%sw_dn_diffuse_surf_clear_g) |
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379 | if (allocated(this%sw_dn_direct_surf_clear_g)) deallocate(this%sw_dn_direct_surf_clear_g) |
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380 | |
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381 | if (allocated(this%lw_up_toa_g)) deallocate(this%lw_up_toa_g) |
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382 | if (allocated(this%sw_up_toa_g)) deallocate(this%sw_up_toa_g) |
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383 | if (allocated(this%sw_dn_toa_g)) deallocate(this%sw_dn_toa_g) |
---|
384 | if (allocated(this%lw_up_toa_clear_g)) deallocate(this%lw_up_toa_clear_g) |
---|
385 | if (allocated(this%sw_up_toa_clear_g)) deallocate(this%sw_up_toa_clear_g) |
---|
386 | |
---|
387 | if (lhook) call dr_hook('radiation_flux:deallocate',1,hook_handle) |
---|
388 | |
---|
389 | end subroutine deallocate_flux_type |
---|
390 | |
---|
391 | |
---|
392 | !--------------------------------------------------------------------- |
---|
393 | ! Calculate surface downwelling fluxes in each band using the |
---|
394 | ! downwelling surface fluxes at each g point |
---|
395 | subroutine calc_surface_spectral(this, config, istartcol, iendcol) |
---|
396 | |
---|
397 | use yomhook, only : lhook, dr_hook, jphook |
---|
398 | use radiation_config, only : config_type |
---|
399 | |
---|
400 | class(flux_type), intent(inout) :: this |
---|
401 | type(config_type), intent(in) :: config |
---|
402 | integer, intent(in) :: istartcol, iendcol |
---|
403 | |
---|
404 | integer :: jcol, jband, jalbedoband, nalbedoband |
---|
405 | |
---|
406 | ! Longwave surface downwelling in each band needed to compute |
---|
407 | ! canopy fluxes |
---|
408 | real(jprb) :: lw_dn_surf_band(config%n_bands_lw,istartcol:iendcol) |
---|
409 | |
---|
410 | real(jphook) :: hook_handle |
---|
411 | |
---|
412 | if (lhook) call dr_hook('radiation_flux:calc_surface_spectral',0,hook_handle) |
---|
413 | |
---|
414 | if (config%do_sw .and. config%do_surface_sw_spectral_flux) then |
---|
415 | |
---|
416 | if (use_indexed_sum_vec) then |
---|
417 | call indexed_sum_vec(this%sw_dn_direct_surf_g, & |
---|
418 | & config%i_band_from_reordered_g_sw, & |
---|
419 | & this%sw_dn_direct_surf_band, istartcol, iendcol) |
---|
420 | call indexed_sum_vec(this%sw_dn_diffuse_surf_g, & |
---|
421 | & config%i_band_from_reordered_g_sw, & |
---|
422 | & this%sw_dn_surf_band, istartcol, iendcol) |
---|
423 | do jcol = istartcol,iendcol |
---|
424 | this%sw_dn_surf_band(:,jcol) & |
---|
425 | & = this%sw_dn_surf_band(:,jcol) & |
---|
426 | & + this%sw_dn_direct_surf_band(:,jcol) |
---|
427 | end do |
---|
428 | else |
---|
429 | do jcol = istartcol,iendcol |
---|
430 | call indexed_sum(this%sw_dn_direct_surf_g(:,jcol), & |
---|
431 | & config%i_band_from_reordered_g_sw, & |
---|
432 | & this%sw_dn_direct_surf_band(:,jcol)) |
---|
433 | call indexed_sum(this%sw_dn_diffuse_surf_g(:,jcol), & |
---|
434 | & config%i_band_from_reordered_g_sw, & |
---|
435 | & this%sw_dn_surf_band(:,jcol)) |
---|
436 | this%sw_dn_surf_band(:,jcol) & |
---|
437 | & = this%sw_dn_surf_band(:,jcol) & |
---|
438 | & + this%sw_dn_direct_surf_band(:,jcol) |
---|
439 | end do |
---|
440 | end if |
---|
441 | |
---|
442 | if (config%do_clear) then |
---|
443 | if (use_indexed_sum_vec) then |
---|
444 | call indexed_sum_vec(this%sw_dn_direct_surf_clear_g, & |
---|
445 | & config%i_band_from_reordered_g_sw, & |
---|
446 | & this%sw_dn_direct_surf_clear_band, istartcol, iendcol) |
---|
447 | call indexed_sum_vec(this%sw_dn_diffuse_surf_clear_g, & |
---|
448 | & config%i_band_from_reordered_g_sw, & |
---|
449 | & this%sw_dn_surf_clear_band, istartcol, iendcol) |
---|
450 | do jcol = istartcol,iendcol |
---|
451 | this%sw_dn_surf_clear_band(:,jcol) & |
---|
452 | & = this%sw_dn_surf_clear_band(:,jcol) & |
---|
453 | & + this%sw_dn_direct_surf_clear_band(:,jcol) |
---|
454 | end do |
---|
455 | else |
---|
456 | do jcol = istartcol,iendcol |
---|
457 | call indexed_sum(this%sw_dn_direct_surf_clear_g(:,jcol), & |
---|
458 | & config%i_band_from_reordered_g_sw, & |
---|
459 | & this%sw_dn_direct_surf_clear_band(:,jcol)) |
---|
460 | call indexed_sum(this%sw_dn_diffuse_surf_clear_g(:,jcol), & |
---|
461 | & config%i_band_from_reordered_g_sw, & |
---|
462 | & this%sw_dn_surf_clear_band(:,jcol)) |
---|
463 | this%sw_dn_surf_clear_band(:,jcol) & |
---|
464 | & = this%sw_dn_surf_clear_band(:,jcol) & |
---|
465 | & + this%sw_dn_direct_surf_clear_band(:,jcol) |
---|
466 | end do |
---|
467 | end if |
---|
468 | end if |
---|
469 | |
---|
470 | end if ! do_surface_sw_spectral_flux |
---|
471 | |
---|
472 | ! Fluxes in bands required for canopy radiative transfer |
---|
473 | if (config%do_sw .and. config%do_canopy_fluxes_sw) then |
---|
474 | if (config%use_canopy_full_spectrum_sw) then |
---|
475 | this%sw_dn_diffuse_surf_canopy(:,istartcol:iendcol) = this%sw_dn_diffuse_surf_g(:,istartcol:iendcol) |
---|
476 | this%sw_dn_direct_surf_canopy (:,istartcol:iendcol) = this%sw_dn_direct_surf_g (:,istartcol:iendcol) |
---|
477 | else if (config%do_nearest_spectral_sw_albedo) then |
---|
478 | if (use_indexed_sum_vec) then |
---|
479 | call indexed_sum_vec(this%sw_dn_direct_surf_g, & |
---|
480 | & config%i_albedo_from_band_sw(config%i_band_from_reordered_g_sw), & |
---|
481 | & this%sw_dn_direct_surf_canopy, istartcol, iendcol) |
---|
482 | call indexed_sum_vec(this%sw_dn_diffuse_surf_g, & |
---|
483 | & config%i_albedo_from_band_sw(config%i_band_from_reordered_g_sw), & |
---|
484 | & this%sw_dn_diffuse_surf_canopy, istartcol, iendcol) |
---|
485 | else |
---|
486 | do jcol = istartcol,iendcol |
---|
487 | call indexed_sum(this%sw_dn_direct_surf_g(:,jcol), & |
---|
488 | & config%i_albedo_from_band_sw(config%i_band_from_reordered_g_sw), & |
---|
489 | & this%sw_dn_direct_surf_canopy(:,jcol)) |
---|
490 | call indexed_sum(this%sw_dn_diffuse_surf_g(:,jcol), & |
---|
491 | & config%i_albedo_from_band_sw(config%i_band_from_reordered_g_sw), & |
---|
492 | & this%sw_dn_diffuse_surf_canopy(:,jcol)) |
---|
493 | end do |
---|
494 | end if |
---|
495 | else |
---|
496 | ! More accurate calculations using weights, but requires |
---|
497 | ! this%sw_dn_[direct_]surf_band to be defined, i.e. |
---|
498 | ! config%do_surface_sw_spectral_flux == .true. |
---|
499 | nalbedoband = size(config%sw_albedo_weights,1) |
---|
500 | this%sw_dn_diffuse_surf_canopy(:,istartcol:iendcol) = 0.0_jprb |
---|
501 | this%sw_dn_direct_surf_canopy (:,istartcol:iendcol) = 0.0_jprb |
---|
502 | do jband = 1,config%n_bands_sw |
---|
503 | do jalbedoband = 1,nalbedoband |
---|
504 | if (config%sw_albedo_weights(jalbedoband,jband) /= 0.0_jprb) then |
---|
505 | ! Initially, "diffuse" is actually "total" |
---|
506 | this%sw_dn_diffuse_surf_canopy(jalbedoband,istartcol:iendcol) & |
---|
507 | & = this%sw_dn_diffuse_surf_canopy(jalbedoband,istartcol:iendcol) & |
---|
508 | & + config%sw_albedo_weights(jalbedoband,jband) & |
---|
509 | & * this%sw_dn_surf_band(jband,istartcol:iendcol) |
---|
510 | this%sw_dn_direct_surf_canopy(jalbedoband,istartcol:iendcol) & |
---|
511 | & = this%sw_dn_direct_surf_canopy(jalbedoband,istartcol:iendcol) & |
---|
512 | & + config%sw_albedo_weights(jalbedoband,jband) & |
---|
513 | & * this%sw_dn_direct_surf_band(jband,istartcol:iendcol) |
---|
514 | end if |
---|
515 | end do |
---|
516 | end do |
---|
517 | ! Subtract the direct from total to get diffuse |
---|
518 | this%sw_dn_diffuse_surf_canopy(:,istartcol:iendcol) & |
---|
519 | & = this%sw_dn_diffuse_surf_canopy(:,istartcol:iendcol) & |
---|
520 | & - this%sw_dn_direct_surf_canopy(:,istartcol:iendcol) |
---|
521 | end if |
---|
522 | |
---|
523 | end if ! do_canopy_fluxes_sw |
---|
524 | |
---|
525 | if (config%do_lw .and. config%do_canopy_fluxes_lw) then |
---|
526 | if (config%use_canopy_full_spectrum_lw) then |
---|
527 | this%lw_dn_surf_canopy(:,istartcol:iendcol) = this%lw_dn_surf_g(:,istartcol:iendcol) |
---|
528 | else if (config%do_nearest_spectral_lw_emiss) then |
---|
529 | if (use_indexed_sum_vec) then |
---|
530 | call indexed_sum_vec(this%lw_dn_surf_g, & |
---|
531 | & config%i_emiss_from_band_lw(config%i_band_from_reordered_g_lw), & |
---|
532 | & this%lw_dn_surf_canopy, istartcol, iendcol) |
---|
533 | else |
---|
534 | do jcol = istartcol,iendcol |
---|
535 | call indexed_sum(this%lw_dn_surf_g(:,jcol), & |
---|
536 | & config%i_emiss_from_band_lw(config%i_band_from_reordered_g_lw), & |
---|
537 | & this%lw_dn_surf_canopy(:,jcol)) |
---|
538 | end do |
---|
539 | end if |
---|
540 | else |
---|
541 | ! Compute fluxes in each longwave emissivity interval using |
---|
542 | ! weights; first sum over g points to get the values in bands |
---|
543 | if (use_indexed_sum_vec) then |
---|
544 | call indexed_sum_vec(this%lw_dn_surf_g, & |
---|
545 | & config%i_band_from_reordered_g_lw, & |
---|
546 | & lw_dn_surf_band, istartcol, iendcol) |
---|
547 | else |
---|
548 | do jcol = istartcol,iendcol |
---|
549 | call indexed_sum(this%lw_dn_surf_g(:,jcol), & |
---|
550 | & config%i_band_from_reordered_g_lw, & |
---|
551 | & lw_dn_surf_band(:,jcol)) |
---|
552 | end do |
---|
553 | end if |
---|
554 | nalbedoband = size(config%lw_emiss_weights,1) |
---|
555 | this%lw_dn_surf_canopy(:,istartcol:iendcol) = 0.0_jprb |
---|
556 | do jband = 1,config%n_bands_lw |
---|
557 | do jalbedoband = 1,nalbedoband |
---|
558 | if (config%lw_emiss_weights(jalbedoband,jband) /= 0.0_jprb) then |
---|
559 | this%lw_dn_surf_canopy(jalbedoband,istartcol:iendcol) & |
---|
560 | & = this%lw_dn_surf_canopy(jalbedoband,istartcol:iendcol) & |
---|
561 | & + config%lw_emiss_weights(jalbedoband,jband) & |
---|
562 | & * lw_dn_surf_band(jband,istartcol:iendcol) |
---|
563 | end if |
---|
564 | end do |
---|
565 | end do |
---|
566 | end if |
---|
567 | end if |
---|
568 | |
---|
569 | if (lhook) call dr_hook('radiation_flux:calc_surface_spectral',1,hook_handle) |
---|
570 | |
---|
571 | end subroutine calc_surface_spectral |
---|
572 | |
---|
573 | |
---|
574 | !--------------------------------------------------------------------- |
---|
575 | ! Calculate top-of-atmosphere fluxes in each band using the fluxes |
---|
576 | ! at each g point |
---|
577 | subroutine calc_toa_spectral(this, config, istartcol, iendcol) |
---|
578 | |
---|
579 | use yomhook, only : lhook, dr_hook, jphook |
---|
580 | use radiation_config, only : config_type |
---|
581 | |
---|
582 | class(flux_type), intent(inout) :: this |
---|
583 | type(config_type), intent(in) :: config |
---|
584 | integer, intent(in) :: istartcol, iendcol |
---|
585 | |
---|
586 | integer :: jcol, jband |
---|
587 | |
---|
588 | real(jphook) :: hook_handle |
---|
589 | |
---|
590 | if (lhook) call dr_hook('radiation_flux:calc_toa_spectral',0,hook_handle) |
---|
591 | |
---|
592 | if (config%do_sw .and. config%do_toa_spectral_flux) then |
---|
593 | |
---|
594 | if (use_indexed_sum_vec) then |
---|
595 | call indexed_sum_vec(this%sw_dn_toa_g, & |
---|
596 | & config%i_band_from_reordered_g_sw, & |
---|
597 | & this%sw_dn_toa_band, istartcol, iendcol) |
---|
598 | call indexed_sum_vec(this%sw_up_toa_g, & |
---|
599 | & config%i_band_from_reordered_g_sw, & |
---|
600 | & this%sw_up_toa_band, istartcol, iendcol) |
---|
601 | else |
---|
602 | do jcol = istartcol,iendcol |
---|
603 | call indexed_sum(this%sw_dn_toa_g(:,jcol), & |
---|
604 | & config%i_band_from_reordered_g_sw, & |
---|
605 | & this%sw_dn_toa_band(:,jcol)) |
---|
606 | call indexed_sum(this%sw_up_toa_g(:,jcol), & |
---|
607 | & config%i_band_from_reordered_g_sw, & |
---|
608 | & this%sw_up_toa_band(:,jcol)) |
---|
609 | end do |
---|
610 | end if |
---|
611 | |
---|
612 | if (config%do_clear) then |
---|
613 | if (use_indexed_sum_vec) then |
---|
614 | call indexed_sum_vec(this%sw_up_toa_clear_g, & |
---|
615 | & config%i_band_from_reordered_g_sw, & |
---|
616 | & this%sw_up_toa_clear_band, istartcol, iendcol) |
---|
617 | else |
---|
618 | do jcol = istartcol,iendcol |
---|
619 | call indexed_sum(this%sw_up_toa_clear_g(:,jcol), & |
---|
620 | & config%i_band_from_reordered_g_sw, & |
---|
621 | & this%sw_up_toa_clear_band(:,jcol)) |
---|
622 | end do |
---|
623 | end if |
---|
624 | end if |
---|
625 | end if |
---|
626 | |
---|
627 | if (config%do_lw .and. config%do_toa_spectral_flux) then |
---|
628 | |
---|
629 | if (use_indexed_sum_vec) then |
---|
630 | call indexed_sum_vec(this%lw_up_toa_g, & |
---|
631 | & config%i_band_from_reordered_g_lw, & |
---|
632 | & this%lw_up_toa_band, istartcol, iendcol) |
---|
633 | else |
---|
634 | do jcol = istartcol,iendcol |
---|
635 | call indexed_sum(this%lw_up_toa_g(:,jcol), & |
---|
636 | & config%i_band_from_reordered_g_lw, & |
---|
637 | & this%lw_up_toa_band(:,jcol)) |
---|
638 | end do |
---|
639 | end if |
---|
640 | |
---|
641 | if (config%do_clear) then |
---|
642 | if (use_indexed_sum_vec) then |
---|
643 | call indexed_sum_vec(this%lw_up_toa_clear_g, & |
---|
644 | & config%i_band_from_reordered_g_lw, & |
---|
645 | & this%lw_up_toa_clear_band, istartcol, iendcol) |
---|
646 | else |
---|
647 | do jcol = istartcol,iendcol |
---|
648 | call indexed_sum(this%lw_up_toa_clear_g(:,jcol), & |
---|
649 | & config%i_band_from_reordered_g_lw, & |
---|
650 | & this%lw_up_toa_clear_band(:,jcol)) |
---|
651 | end do |
---|
652 | end if |
---|
653 | end if |
---|
654 | end if |
---|
655 | |
---|
656 | if (lhook) call dr_hook('radiation_flux:calc_toa_spectral',1,hook_handle) |
---|
657 | |
---|
658 | end subroutine calc_toa_spectral |
---|
659 | |
---|
660 | |
---|
661 | !--------------------------------------------------------------------- |
---|
662 | ! Return .true. if the most important flux variables are out of a |
---|
663 | ! physically sensible range, optionally only considering columns |
---|
664 | ! between istartcol and iendcol |
---|
665 | function out_of_physical_bounds(this, istartcol, iendcol) result(is_bad) |
---|
666 | |
---|
667 | use yomhook, only : lhook, dr_hook, jphook |
---|
668 | use radiation_check, only : out_of_bounds_2d |
---|
669 | |
---|
670 | class(flux_type), intent(inout) :: this |
---|
671 | integer, optional,intent(in) :: istartcol, iendcol |
---|
672 | logical :: is_bad |
---|
673 | |
---|
674 | real(jphook) :: hook_handle |
---|
675 | |
---|
676 | if (lhook) call dr_hook('radiation_flux:out_of_physical_bounds',0,hook_handle) |
---|
677 | |
---|
678 | is_bad = out_of_bounds_2d(this%lw_up, 'lw_up', 10.0_jprb, 900.0_jprb, .false., i1=istartcol, i2=iendcol) & |
---|
679 | & .or. out_of_bounds_2d(this%lw_dn, 'lw_dn', 0.0_jprb, 800.0_jprb, .false., i1=istartcol, i2=iendcol) & |
---|
680 | & .or. out_of_bounds_2d(this%sw_up, 'sw_up', 0.0_jprb, 1500.0_jprb, .false., i1=istartcol, i2=iendcol) & |
---|
681 | & .or. out_of_bounds_2d(this%sw_dn, 'sw_dn', 0.0_jprb, 1500.0_jprb, .false., i1=istartcol, i2=iendcol) & |
---|
682 | & .or. out_of_bounds_2d(this%sw_dn_direct, 'sw_dn_direct', 0.0_jprb, 1500.0_jprb, .false., i1=istartcol, i2=iendcol) & |
---|
683 | & .or. out_of_bounds_2d(this%lw_derivatives, 'lw_derivatives', 0.0_jprb, 1.0_jprb, .false., i1=istartcol, i2=iendcol) & |
---|
684 | & .or. out_of_bounds_2d(this%sw_dn_surf_band, 'sw_dn_surf_band', 0.0_jprb, 1500.0_jprb, & |
---|
685 | & .false., j1=istartcol, j2=iendcol) & |
---|
686 | & .or. out_of_bounds_2d(this%sw_dn_surf_clear_band, 'sw_dn_surf_clear_band', 0.0_jprb, 1500.0_jprb, & |
---|
687 | & .false., j1=istartcol, j2=iendcol) |
---|
688 | |
---|
689 | if (lhook) call dr_hook('radiation_flux:out_of_physical_bounds',1,hook_handle) |
---|
690 | |
---|
691 | end function out_of_physical_bounds |
---|
692 | |
---|
693 | !--------------------------------------------------------------------- |
---|
694 | ! Return .true. if the heating rates are out of a physically |
---|
695 | ! sensible range, optionally only considering columns between |
---|
696 | ! istartcol and iendcol. This function allocates and deallocates |
---|
697 | ! memory due to the requirements for inputs of out_of_bounds_2d. |
---|
698 | function heating_rate_out_of_physical_bounds(this, nlev, istartcol, iendcol, pressure_hl) result(is_bad) |
---|
699 | |
---|
700 | use radiation_check, only : out_of_bounds_2d |
---|
701 | use radiation_constants, only : AccelDueToGravity |
---|
702 | |
---|
703 | ! "Cp" (J kg-1 K-1) |
---|
704 | real(jprb), parameter :: SpecificHeatDryAir = 1004.0 |
---|
705 | |
---|
706 | class(flux_type), intent(inout) :: this |
---|
707 | integer, intent(in) :: istartcol, iendcol, nlev |
---|
708 | logical :: is_bad |
---|
709 | |
---|
710 | real(jprb), intent(in) :: pressure_hl(:,:) |
---|
711 | |
---|
712 | real(jprb), allocatable :: hr_K_day(:,:) |
---|
713 | |
---|
714 | real(jprb) :: scaling(istartcol:iendcol,nlev) |
---|
715 | |
---|
716 | allocate(hr_K_day(istartcol:iendcol,nlev)) |
---|
717 | |
---|
718 | scaling = -(24.0_jprb * 3600.0_jprb * AccelDueToGravity / SpecificHeatDryAir) & |
---|
719 | & / (pressure_hl(istartcol:iendcol,2:nlev+1) - pressure_hl(istartcol:iendcol,1:nlev)) |
---|
720 | ! Shortwave |
---|
721 | hr_K_day = scaling * (this%sw_dn(istartcol:iendcol,2:nlev+1) - this%sw_up(istartcol:iendcol,2:nlev+1) & |
---|
722 | & -this%sw_dn(istartcol:iendcol,1:nlev) + this%sw_up(istartcol:iendcol,1:nlev)) |
---|
723 | is_bad = out_of_bounds_2d(hr_K_day, 'sw_heating_rate_K_day', 0.0_jprb, 200.0_jprb, & |
---|
724 | & .false., i1=istartcol, i2=iendcol) |
---|
725 | |
---|
726 | ! Longwave |
---|
727 | hr_K_day = scaling * (this%lw_dn(istartcol:iendcol,2:nlev+1) - this%lw_up(istartcol:iendcol,2:nlev+1) & |
---|
728 | & -this%lw_dn(istartcol:iendcol,1:nlev) + this%lw_up(istartcol:iendcol,1:nlev)) |
---|
729 | is_bad = is_bad .or. out_of_bounds_2d(hr_K_day, 'lw_heating_rate_K_day', -250.0_jprb, 150.0_jprb, & |
---|
730 | & .false., i1=istartcol, i2=iendcol) |
---|
731 | |
---|
732 | deallocate(hr_K_day) |
---|
733 | |
---|
734 | end function heating_rate_out_of_physical_bounds |
---|
735 | |
---|
736 | |
---|
737 | !--------------------------------------------------------------------- |
---|
738 | ! Sum elements of "source" into "dest" according to index "ind". |
---|
739 | ! "source" and "ind" should have the same size and bounds, and no |
---|
740 | ! element of "ind" should refer outside the bounds of "dest". This |
---|
741 | ! version increments existing contents of "dest". |
---|
742 | pure subroutine add_indexed_sum(source, ind, dest) |
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743 | |
---|
744 | real(jprb), intent(in) :: source(:) |
---|
745 | integer, intent(in) :: ind(:) |
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746 | real(jprb), intent(inout) :: dest(:) |
---|
747 | |
---|
748 | integer :: ig, jg, istart, iend |
---|
749 | |
---|
750 | istart = lbound(source,1) |
---|
751 | iend = ubound(source,1) |
---|
752 | |
---|
753 | do jg = istart, iend |
---|
754 | ig = ind(jg) |
---|
755 | dest(ig) = dest(ig) + source(jg) |
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756 | end do |
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757 | |
---|
758 | end subroutine add_indexed_sum |
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759 | |
---|
760 | |
---|
761 | !--------------------------------------------------------------------- |
---|
762 | ! As "add_indexed_sum" but this version overwrites existing contents |
---|
763 | ! of "dest" |
---|
764 | pure subroutine indexed_sum(source, ind, dest) |
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765 | |
---|
766 | real(jprb), intent(in) :: source(:) |
---|
767 | integer, intent(in) :: ind(:) |
---|
768 | real(jprb), intent(out) :: dest(:) |
---|
769 | |
---|
770 | integer :: ig, jg, istart, iend |
---|
771 | |
---|
772 | dest = 0.0 |
---|
773 | |
---|
774 | istart = lbound(source,1) |
---|
775 | iend = ubound(source,1) |
---|
776 | |
---|
777 | do jg = istart, iend |
---|
778 | ig = ind(jg) |
---|
779 | dest(ig) = dest(ig) + source(jg) |
---|
780 | end do |
---|
781 | |
---|
782 | end subroutine indexed_sum |
---|
783 | |
---|
784 | !--------------------------------------------------------------------- |
---|
785 | ! Vectorized version of "add_indexed_sum" |
---|
786 | subroutine indexed_sum_vec(source, ind, dest, ist, iend) |
---|
787 | |
---|
788 | real(jprb), intent(in) :: source(:,:) |
---|
789 | integer, intent(in) :: ind(:) |
---|
790 | real(jprb), intent(out) :: dest(:,:) |
---|
791 | integer, intent(in) :: ist, iend |
---|
792 | |
---|
793 | integer :: ig, jg, jc |
---|
794 | |
---|
795 | dest = 0.0 |
---|
796 | |
---|
797 | do jg = lbound(source,1), ubound(source,1) |
---|
798 | ig = ind(jg) |
---|
799 | do jc = ist, iend |
---|
800 | dest(ig,jc) = dest(ig,jc) + source(jg,jc) |
---|
801 | end do |
---|
802 | end do |
---|
803 | |
---|
804 | end subroutine indexed_sum_vec |
---|
805 | |
---|
806 | !--------------------------------------------------------------------- |
---|
807 | ! As "add_indexed_sum" but a whole vertical profiles |
---|
808 | pure subroutine add_indexed_sum_profile(source, ind, dest) |
---|
809 | |
---|
810 | real(jprb), intent(in) :: source(:,:) |
---|
811 | integer, intent(in) :: ind(:) |
---|
812 | real(jprb), intent(out) :: dest(:,:) |
---|
813 | |
---|
814 | integer :: ig, jg, istart, iend, jlev, nlev |
---|
815 | |
---|
816 | istart = lbound(source,1) |
---|
817 | iend = ubound(source,1) |
---|
818 | nlev = size(source,2) |
---|
819 | |
---|
820 | do jlev = 1,nlev |
---|
821 | do jg = istart, iend |
---|
822 | ig = ind(jg) |
---|
823 | dest(ig,jlev) = dest(ig,jlev) + source(jg,jlev) |
---|
824 | end do |
---|
825 | end do |
---|
826 | |
---|
827 | end subroutine add_indexed_sum_profile |
---|
828 | |
---|
829 | |
---|
830 | !--------------------------------------------------------------------- |
---|
831 | ! As "indexed_sum" but a whole vertical profiles |
---|
832 | pure subroutine indexed_sum_profile(source, ind, dest) |
---|
833 | |
---|
834 | real(jprb), intent(in) :: source(:,:) |
---|
835 | integer, intent(in) :: ind(:) |
---|
836 | real(jprb), intent(out) :: dest(:,:) |
---|
837 | |
---|
838 | integer :: ig, jg, istart, iend, jlev, nlev |
---|
839 | |
---|
840 | dest = 0.0 |
---|
841 | |
---|
842 | istart = lbound(source,1) |
---|
843 | iend = ubound(source,1) |
---|
844 | nlev = size(source,2) |
---|
845 | |
---|
846 | do jlev = 1,nlev |
---|
847 | do jg = istart, iend |
---|
848 | ig = ind(jg) |
---|
849 | dest(ig,jlev) = dest(ig,jlev) + source(jg,jlev) |
---|
850 | end do |
---|
851 | end do |
---|
852 | |
---|
853 | end subroutine indexed_sum_profile |
---|
854 | |
---|
855 | end module radiation_flux |
---|