1 | ! radiation_ice_optics_fu.F90 - Fu's scheme for ice optical properties |
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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 | ! 2020-08-10 R. Hogan Bounded re to be <= 100um and g to be < 1.0 |
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17 | |
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18 | module radiation_ice_optics_fu |
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19 | |
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20 | use parkind1, only : jprb |
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21 | |
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22 | implicit none |
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23 | public |
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24 | |
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25 | ! The number of ice coefficients depends on the parameterization |
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26 | integer, parameter :: NIceOpticsCoeffsFuSW = 10 |
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27 | integer, parameter :: NIceOpticsCoeffsFuLW = 11 |
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28 | |
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29 | ! Limits based on the range of validity of the parameterizations |
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30 | real(jprb), parameter :: MaxAsymmetryFactor = 1.0_jprb - 10.0_jprb*epsilon(1.0_jprb) |
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31 | real(jprb), parameter :: MaxEffectiveRadius = 100.0e-6_jprb ! metres |
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32 | |
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33 | contains |
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34 | |
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35 | !--------------------------------------------------------------------- |
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36 | ! Compute shortwave ice-particle scattering properties using Fu |
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37 | ! (1996) parameterization. The asymmetry factor in band 14 goes |
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38 | ! larger than one for re > 100.8 um, so we cap re at 100 um. |
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39 | ! Asymmetry factor is capped at just less than 1 because if it is |
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40 | ! exactly 1 then delta-Eddington scaling leads to a zero scattering |
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41 | ! optical depth and then division by zero. |
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42 | subroutine calc_ice_optics_fu_sw(nb, coeff, ice_wp, & |
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43 | & re, od, scat_od, g) |
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44 | |
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45 | !use yomhook, only : lhook, dr_hook, jphook |
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46 | |
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47 | ! Number of bands |
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48 | integer, intent(in) :: nb |
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49 | ! Coefficients read from a data file |
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50 | real(jprb), intent(in) :: coeff(:,:) |
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51 | ! Ice water path (kg m-2) |
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52 | real(jprb), intent(in) :: ice_wp |
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53 | ! Effective radius (m) |
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54 | real(jprb), intent(in) :: re |
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55 | ! Total optical depth, scattering optical depth and asymmetry factor |
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56 | real(jprb), intent(out) :: od(nb), scat_od(nb), g(nb) |
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57 | |
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58 | ! Fu's effective diameter (microns) and its inverse |
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59 | real(jprb) :: de_um, inv_de_um |
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60 | ! Ice water path in g m-2 |
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61 | real (jprb) :: iwp_gm_2 |
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62 | |
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63 | integer :: jb |
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64 | !real(jphook) :: hook_handle |
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65 | |
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66 | !if (lhook) call dr_hook('radiation_ice_optics:calc_ice_optics_fu_sw',0,hook_handle) |
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67 | |
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68 | ! Convert to effective diameter using the relationship in the IFS |
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69 | de_um = min(re, MaxEffectiveRadius) * (1.0e6_jprb / 0.64952_jprb) |
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70 | inv_de_um = 1.0_jprb / de_um |
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71 | iwp_gm_2 = ice_wp * 1000.0_jprb |
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72 | |
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73 | ! Added for DWD (2020) |
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74 | !NEC$ shortloop |
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75 | do jb = 1, nb |
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76 | od(jb) = iwp_gm_2 * (coeff(jb,1) + coeff(jb,2) * inv_de_um) |
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77 | scat_od(jb) = od(jb) * (1.0_jprb - (coeff(jb,3) + de_um*(coeff(jb,4) & |
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78 | & + de_um*(coeff(jb,5) + de_um*coeff(jb,6))))) |
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79 | g(jb) = min(coeff(jb,7) + de_um*(coeff(jb,8) & |
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80 | & + de_um*(coeff(jb,9) + de_um*coeff(jb,10))), & |
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81 | & MaxAsymmetryFactor) |
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82 | end do |
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83 | |
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84 | !if (lhook) call dr_hook('radiation_ice_optics:calc_ice_optics_fu_sw',1,hook_handle) |
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85 | |
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86 | end subroutine calc_ice_optics_fu_sw |
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87 | |
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88 | |
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89 | !--------------------------------------------------------------------- |
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90 | ! Compute longwave ice-particle scattering properties using Fu et |
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91 | ! al. (1998) parameterization |
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92 | subroutine calc_ice_optics_fu_lw(nb, coeff, ice_wp, & |
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93 | & re, od, scat_od, g) |
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94 | |
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95 | !use yomhook, only : lhook, dr_hook, jphook |
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96 | |
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97 | ! Number of bands |
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98 | integer, intent(in) :: nb |
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99 | ! Coefficients read from a data file |
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100 | real(jprb), intent(in) :: coeff(:,:) |
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101 | ! Ice water path (kg m-2) |
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102 | real(jprb), intent(in) :: ice_wp |
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103 | ! Effective radius (m) |
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104 | real(jprb), intent(in) :: re |
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105 | ! Total optical depth, scattering optical depth and asymmetry factor |
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106 | real(jprb), intent(out) :: od(nb), scat_od(nb), g(nb) |
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107 | |
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108 | ! Fu's effective diameter (microns) and its inverse |
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109 | real(jprb) :: de_um, inv_de_um |
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110 | ! Ice water path in g m-2 |
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111 | real (jprb) :: iwp_gm_2 |
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112 | |
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113 | integer :: jb |
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114 | !real(jphook) :: hook_handle |
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115 | |
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116 | !if (lhook) call dr_hook('radiation_ice_optics:calc_ice_optics_fu_lw',0,hook_handle) |
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117 | |
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118 | ! Convert to effective diameter using the relationship in the IFS |
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119 | de_um = min(re, MaxEffectiveRadius) * (1.0e6_jprb / 0.64952_jprb) |
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120 | |
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121 | inv_de_um = 1.0_jprb / de_um |
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122 | iwp_gm_2 = ice_wp * 1000.0_jprb |
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123 | |
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124 | ! Added for DWD (2020) |
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125 | !NEC$ shortloop |
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126 | do jb = 1, nb |
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127 | od(jb) = iwp_gm_2 * (coeff(jb,1) + inv_de_um*(coeff(jb,2) & |
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128 | & + inv_de_um*coeff(jb,3))) |
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129 | scat_od(jb) = od(jb) - iwp_gm_2*inv_de_um*(coeff(jb,4) + de_um*(coeff(jb,5) & |
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130 | & + de_um*(coeff(jb,6) + de_um*coeff(jb,7)))) |
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131 | g(jb) = min(coeff(jb,8) + de_um*(coeff(jb,9) & |
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132 | & + de_um*(coeff(jb,10) + de_um*coeff(jb,11))), & |
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133 | & MaxAsymmetryFactor) |
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134 | end do |
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135 | |
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136 | !if (lhook) call dr_hook('radiation_ice_optics:calc_ice_optics_fu_lw',1,hook_handle) |
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137 | |
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138 | end subroutine calc_ice_optics_fu_lw |
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139 | |
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140 | end module radiation_ice_optics_fu |
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