1 | MODULE nonoro_gwd_ran_mod |
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2 | |
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3 | IMPLICIT NONE |
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4 | |
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5 | REAL,allocatable,save :: du_nonoro_gwd(:,:) ! Zonal wind tendency due to GWD |
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6 | REAL,allocatable,save :: dv_nonoro_gwd(:,:) ! Meridional wind tendency due to GWD |
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7 | REAL,ALLOCATABLE,SAVE :: east_gwstress(:,:) ! Profile of eastward stress |
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8 | REAL,ALLOCATABLE,SAVE :: west_gwstress(:,:) ! Profile of westward stress |
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9 | |
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10 | !$OMP THREADPRIVATE(du_nonoro_gwd,dv_nonoro_gwd,east_gwstress,west_gwstress) |
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11 | |
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12 | CONTAINS |
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13 | |
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14 | SUBROUTINE NONORO_GWD_RAN(ngrid,nlayer,DTIME, cpnew, rnew, pp, & |
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15 | zmax_therm, pt, pu, pv, pdt, pdu, pdv, & |
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16 | zustr,zvstr,d_t, d_u, d_v) |
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17 | |
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18 | !-------------------------------------------------------------------------------- |
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19 | ! Parametrization of the momentum flux deposition due to a discrete |
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20 | ! number of gravity waves. |
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21 | ! F. Lott |
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22 | ! Version 14, Gaussian distribution of the source |
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23 | ! LMDz model online version |
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24 | ! ADAPTED FOR VENUS / F. LOTT + S. LEBONNOIS |
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25 | ! Version adapted on 03/04/2013: |
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26 | ! - input flux compensated in the deepest layers |
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27 | ! |
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28 | ! ADAPTED FOR MARS G.GILLI 02/2016 |
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29 | ! Revision with F.Forget 06/2016 Variable EP-flux according to |
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30 | ! PBL variation (max velocity thermals) |
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31 | ! UPDATED D.BARDET 01/2020 - reproductibility of the |
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32 | ! launching altitude calculation |
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33 | ! - wave characteristic |
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34 | ! calculation using MOD |
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35 | ! - adding east_gwstress and |
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36 | ! west_gwstress variables |
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37 | ! UPDATED J.LIU 12/2021 The rho (density) at the specific |
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38 | ! locations is introduced. The equation |
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39 | ! of EP-flux is corrected by adding the |
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40 | ! term of density at launch (source) |
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41 | ! altitude. |
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42 | ! |
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43 | !--------------------------------------------------------------------------------- |
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44 | |
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45 | use comcstfi_h, only: g, pi, r |
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46 | USE ioipsl_getin_p_mod, ONLY : getin_p |
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47 | use vertical_layers_mod, only : presnivs |
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48 | use geometry_mod, only: cell_area |
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49 | #ifdef CPP_XIOS |
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50 | use xios_output_mod, only: send_xios_field |
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51 | #endif |
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52 | |
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53 | implicit none |
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54 | include "callkeys.h" |
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55 | |
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56 | CHARACTER (LEN=20) :: modname='nonoro_gwd_ran' |
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57 | CHARACTER (LEN=80) :: abort_message |
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58 | |
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59 | |
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60 | ! 0. DECLARATIONS: |
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61 | |
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62 | ! 0.1 INPUTS |
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63 | INTEGER, intent(in):: ngrid ! number of atmospheric columns |
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64 | INTEGER, intent(in):: nlayer ! number of atmospheric layers |
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65 | REAL, intent(in):: DTIME ! Time step of the Physics(s) |
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66 | REAL, intent(in):: zmax_therm(ngrid) ! Altitude of max velocity thermals (m) |
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67 | REAL,INTENT(IN) :: cpnew(ngrid,nlayer)! Cp of the atmosphere |
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68 | REAL,INTENT(IN) :: rnew(ngrid,nlayer) ! R of the atmosphere |
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69 | REAL, intent(in):: pp(ngrid,nlayer) ! Pressure at full levels(Pa) |
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70 | REAL, intent(in):: pt(ngrid,nlayer) ! Temp at full levels(K) |
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71 | REAL, intent(in):: pu(ngrid,nlayer) ! Zonal wind at full levels(m/s) |
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72 | REAL, intent(in):: pv(ngrid,nlayer) ! Meridional winds at full levels(m/s) |
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73 | REAL,INTENT(in) :: pdt(ngrid,nlayer) ! Tendency on temperature (K/s) |
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74 | REAL,INTENT(in) :: pdu(ngrid,nlayer) ! Tendency on zonal wind (m/s/s) |
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75 | REAL,INTENT(in) :: pdv(ngrid,nlayer) ! Tendency on meridional wind (m/s/s) |
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76 | |
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77 | ! 0.2 OUTPUTS |
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78 | REAL, intent(out):: zustr(ngrid) ! Zonal surface stress |
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79 | REAL, intent(out):: zvstr(ngrid) ! Meridional surface stress |
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80 | REAL, intent(out):: d_t(ngrid, nlayer) ! Tendency on temperature (K/s) due to gravity waves (not used set to zero) |
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81 | REAL, intent(out):: d_u(ngrid, nlayer) ! Tendency on zonal wind (m/s/s) due to gravity waves |
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82 | REAL, intent(out):: d_v(ngrid, nlayer) ! Tendency on meridional wind (m/s/s) due to gravity waves |
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83 | |
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84 | ! 0.3 INTERNAL ARRAYS |
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85 | REAL :: TT(ngrid, nlayer) ! Temperature at full levels |
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86 | REAL :: RHO(ngrid, nlayer) ! Mass density at full levels |
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87 | REAL :: UU(ngrid, nlayer) ! Zonal wind at full levels |
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88 | REAL :: VV(ngrid, nlayer) ! Meridional winds at full levels |
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89 | REAL :: BVLOW(ngrid) ! initial N at each grid (not used) |
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90 | |
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91 | INTEGER II, JJ, LL |
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92 | |
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93 | ! 0.3.0 TIME SCALE OF THE LIFE CYCLE OF THE WAVES PARAMETERIZED |
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94 | REAL, parameter:: DELTAT = 24. * 3600. |
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95 | |
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96 | ! 0.3.1 GRAVITY-WAVES SPECIFICATIONS |
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97 | INTEGER, PARAMETER:: NK = 2 ! number of horizontal wavenumbers |
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98 | INTEGER, PARAMETER:: NP = 2 ! directions (eastward and westward) phase speed |
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99 | INTEGER, PARAMETER:: NO = 2 ! absolute values of phase speed |
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100 | INTEGER, PARAMETER:: NA = 5 ! number of realizations to get the phase speed |
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101 | INTEGER, PARAMETER:: NW = NK * NP * NO ! Total numbers of gravity waves |
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102 | INTEGER JK, JP, JO, JW ! Loop index for NK,NP,NO, and NW |
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103 | |
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104 | REAL, save :: kmax ! Max horizontal wavenumber (lambda min,lambda=2*pi/kmax),kmax=N/u, u(=30~50) zonal wind velocity at launch altitude |
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105 | !$OMP THREADPRIVATE(kmax) |
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106 | REAL, save :: kmin ! Min horizontal wavenumber (lambda max = 314 km,lambda=2*pi/kmin) |
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107 | !$OMP THREADPRIVATE(kmin) |
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108 | REAL kstar ! Min horizontal wavenumber constrained by horizontal resolution |
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109 | |
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110 | REAL :: max_k(ngrid) ! max_k=max(kstar,kmin) |
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111 | REAL, parameter:: cmin = 1. ! Min horizontal absolute phase velocity (not used) |
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112 | REAL CPHA(ngrid) ! absolute PHASE VELOCITY frequency |
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113 | REAL ZK(NW, ngrid) ! Horizontal wavenumber amplitude |
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114 | REAL ZP(NW, ngrid) ! Horizontal wavenumber angle |
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115 | REAL ZO(NW, ngrid) ! Absolute frequency |
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116 | |
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117 | REAL intr_freq_m(nw, ngrid) ! Waves Intr. freq. at the 1/2 lev below the full level (previous name: ZOM) |
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118 | REAL intr_freq_p(nw, ngrid) ! Waves Intr. freq. at the 1/2 lev above the full level (previous name: ZOP) |
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119 | REAL wwm(nw, ngrid) ! Wave EP-fluxes at the 1/2 level below the full level |
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120 | REAL wwp(nw, ngrid) ! Wave EP-fluxes at the 1/2 level above the full level |
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121 | REAL u_epflux_p(nw, ngrid) ! Partial zonal flux (=for each wave) at the 1/2 level above the full level (previous name: RUWP) |
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122 | REAL v_epflux_p(nw, ngrid) ! Partial meridional flux (=for each wave) at the 1/2 level above the full level (previous name: RVWP) |
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123 | REAL u_epflux_tot(ngrid, nlayer + 1) ! Total zonal flux (=for all waves (nw)) at the 1/2 level above the full level (3D) (previous name: RUW) |
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124 | REAL v_epflux_tot(ngrid, nlayer + 1) ! Total meridional flux (=for all waves (nw)) at the 1/2 level above the full level (3D) (previous name: RVW) |
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125 | REAL epflux_0(nw, ngrid) ! Fluxes at launching level (previous name: RUW0) |
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126 | REAL, save :: epflux_max ! Max EP flux value at launching altitude (previous name: RUWMAX, tunable) |
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127 | !$OMP THREADPRIVATE(epflux_max) |
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128 | INTEGER LAUNCH ! Launching altitude |
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129 | REAL, save :: xlaunch ! Control the launching altitude by pressure |
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130 | !$OMP THREADPRIVATE(xlaunch) |
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131 | REAL, parameter:: zmaxth_top = 8000. ! Top of convective layer (approx. not used) |
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132 | REAL cmax(ngrid,nlayer) ! Max horizontal absolute phase velocity (at the maginitide of zonal wind u at the launch altitude) |
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133 | |
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134 | ! 0.3.2 PARAMETERS OF WAVES DISSIPATIONS |
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135 | REAL, save :: sat ! saturation parameter(tunable) |
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136 | !$OMP THREADPRIVATE(sat) |
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137 | REAL, save :: rdiss ! dissipation coefficient (tunable) |
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138 | !$OMP THREADPRIVATE(rdiss) |
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139 | REAL, parameter:: zoisec = 1.e-10 ! security for intrinsic frequency |
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140 | |
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141 | ! 0.3.3 Background flow at 1/2 levels and vertical coordinate |
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142 | REAL H0bis(ngrid, nlayer) ! Characteristic Height of the atmosphere (specific locations) |
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143 | REAL, save:: H0 ! Characteristic Height of the atmosphere (constant) |
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144 | !$OMP THREADPRIVATE(H0) |
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145 | REAL, parameter:: pr = 250 ! Reference pressure [Pa] |
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146 | REAL, parameter:: tr = 220. ! Reference temperature [K] |
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147 | REAL ZH(ngrid, nlayer + 1) ! Log-pressure altitude (constant H0) |
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148 | REAL ZHbis(ngrid, nlayer + 1) ! Log-pressure altitude (varying H0bis) |
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149 | REAL UH(ngrid, nlayer + 1) ! zonal wind at 1/2 levels |
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150 | REAL VH(ngrid, nlayer + 1) ! meridional wind at 1/2 levels |
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151 | REAL PH(ngrid, nlayer + 1) ! Pressure at 1/2 levels |
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152 | REAL, parameter:: psec = 1.e-20 ! Security to avoid division by 0 pressure(!!IMPORTANT: should be lower than the topmost layer's pressure) |
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153 | REAL BV(ngrid, nlayer + 1) ! Brunt Vaisala freq. (N^2) at 1/2 levels |
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154 | REAL, parameter:: bvsec = 1.e-5 ! Security to avoid negative BV |
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155 | REAL HREF(nlayer + 1) ! Reference pressure for launching altitude |
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156 | |
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157 | |
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158 | REAL RAN_NUM_1,RAN_NUM_2,RAN_NUM_3 |
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159 | |
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160 | |
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161 | LOGICAL,SAVE :: firstcall = .true. |
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162 | !$OMP THREADPRIVATE(firstcall) |
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163 | |
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164 | !----------------------------------------------------------------------------------------------------------------------- |
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165 | ! 1. INITIALISATIONS |
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166 | !----------------------------------------------------------------------------------------------------------------------- |
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167 | IF (firstcall) THEN |
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168 | write(*,*) "nonoro_gwd_ran: FLott non-oro GW scheme is active!" |
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169 | epflux_max = 7.E-7 ! Mars' value !! |
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170 | call getin_p("nonoro_gwd_epflux_max", epflux_max) |
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171 | write(*,*) "nonoro_gwd_ran: epflux_max=", epflux_max |
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172 | sat = 1. ! default gravity waves saturation value !! |
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173 | call getin_p("nonoro_gwd_sat", sat) |
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174 | write(*,*) "nonoro_gwd_ran: sat=", sat |
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175 | ! cmax = 50. ! default gravity waves phase velocity value !! |
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176 | ! call getin_p("nonoro_gwd_cmax", cmax) |
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177 | ! write(*,*) "nonoro_gwd_ran: cmax=", cmax |
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178 | rdiss=0.01 ! default coefficient of dissipation !! |
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179 | call getin_p("nonoro_gwd_rdiss", rdiss) |
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180 | write(*,*) "nonoro_gwd_ran: rdiss=", rdiss |
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181 | kmax=7.E-4 ! default Max horizontal wavenumber !! |
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182 | call getin_p("nonoro_gwd_kmax", kmax) |
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183 | write(*,*) "nonoro_gwd_ran: kmax=", kmax |
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184 | kmin=2.e-5 ! default Max horizontal wavenumber !! |
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185 | call getin_p("nonoro_gwd_kmin", kmin) |
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186 | write(*,*) "nonoro_gwd_ran: kmin=", kmin |
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187 | xlaunch=0.4 ! default GW luanch altitude controller !! |
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188 | call getin_p("nonoro_gwd_xlaunch", xlaunch) |
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189 | write(*,*) "nonoro_gwd_ran: xlaunch=", xlaunch |
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190 | ! Characteristic vertical scale height |
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191 | H0 = r * tr / g |
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192 | ! Control |
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193 | if (deltat .LT. dtime) THEN |
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194 | call abort_physic("nonoro_gwd_ran","gwd random: deltat lower than dtime!",1) |
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195 | endif |
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196 | if (nlayer .LT. nw) THEN |
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197 | call abort_physic("nonoro_gwd_ran","gwd random: nlayer lower than nw!",1) |
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198 | endif |
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199 | firstcall = .false. |
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200 | ENDIF |
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201 | |
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202 | ! Compute current values of temperature and winds |
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203 | tt(:,:)=pt(:,:)+dtime*pdt(:,:) |
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204 | uu(:,:)=pu(:,:)+dtime*pdu(:,:) |
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205 | vv(:,:)=pv(:,:)+dtime*pdv(:,:) |
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206 | ! Compute the real mass density by rho=p/R(T)T |
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207 | DO ll=1,nlayer |
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208 | DO ii=1,ngrid |
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209 | rho(ii,ll) = pp(ii,ll)/(rnew(ii,ll)*tt(ii,ll)) |
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210 | ENDDO |
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211 | ENDDO |
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212 | ! print*,'epflux_max just after firstcall:', epflux_max |
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213 | |
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214 | !----------------------------------------------------------------------------------------------------------------------- |
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215 | ! 2. EVALUATION OF THE BACKGROUND FLOW AT SEMI-LEVELS |
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216 | !----------------------------------------------------------------------------------------------------------------------- |
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217 | ! Pressure and inverse of pressure at 1/2 level |
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218 | DO LL = 2, nlayer |
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219 | PH(:, LL) = EXP((LOG(PP(:, LL)) + LOG(PP(:, LL - 1))) / 2.) |
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220 | end DO |
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221 | PH(:, nlayer + 1) = 0. |
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222 | PH(:, 1) = 2. * PP(:, 1) - PH(:, 2) |
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223 | |
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224 | call writediagfi(ngrid,'nonoro_pp','nonoro_pp', 'm',3,PP(:,1:nlayer)) |
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225 | call writediagfi(ngrid,'nonoro_ph','nonoro_ph', 'm',3,PH(:,1:nlayer)) |
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226 | |
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227 | ! Launching level for reproductible case |
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228 | !Pour revenir a la version non reproductible en changeant le nombre de |
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229 | !process |
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230 | ! Reprend la formule qui calcule PH en fonction de PP=play |
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231 | DO LL = 2, nlayer |
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232 | HREF(LL) = EXP((LOG(presnivs(LL))+ LOG(presnivs(LL - 1))) / 2.) |
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233 | end DO |
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234 | HREF(nlayer + 1) = 0. |
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235 | HREF(1) = 2. * presnivs(1) - HREF(2) |
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236 | |
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237 | LAUNCH=0 |
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238 | DO LL = 1, nlayer |
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239 | IF (HREF(LL) / HREF(1) > XLAUNCH) LAUNCH = LL |
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240 | ENDDO |
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241 | |
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242 | ! Log pressure vert. coordinate |
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243 | ZH(:,1) = 0. |
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244 | DO LL = 2, nlayer + 1 |
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245 | !ZH(:, LL) = H0 * LOG(PR / (PH(:, LL) + PSEC)) |
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246 | H0bis(:, LL-1) = r * TT(:, LL-1) / g |
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247 | ZH(:, LL) = ZH(:, LL-1) & |
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248 | + H0bis(:, LL-1)*(PH(:, LL-1)-PH(:,LL))/PP(:, LL-1) |
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249 | end DO |
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250 | ZH(:, 1) = H0 * LOG(PR / (PH(:, 1) + PSEC)) |
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251 | |
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252 | call writediagfi(ngrid,'nonoro_zh','nonoro_zh', 'm',3,ZH(:,2:nlayer+1)) |
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253 | |
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254 | ! Winds and Brunt Vaisala frequency |
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255 | DO LL = 2, nlayer |
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256 | UH(:, LL) = 0.5 * (UU(:, LL) + UU(:, LL - 1)) ! Zonal wind |
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257 | VH(:, LL) = 0.5 * (VV(:, LL) + VV(:, LL - 1)) ! Meridional wind |
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258 | ! Brunt Vaisala frequency (=g/T*[dT/dz + g/cp] ) |
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259 | BV(:, LL)= G/(0.5 * (TT(:, LL) + TT(:, LL - 1))) & |
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260 | *((TT(:, LL) - TT(:, LL - 1)) / (ZH(:, LL) - ZH(:, LL - 1))+ & |
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261 | G / cpnew(:,LL)) |
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262 | |
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263 | BV(:,LL) =MAX(1.E-12,BV(:,LL)) ! to ensure that BV is positive |
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264 | BV(:,LL) = MAX(BVSEC,SQRT(BV(:,LL))) ! make sure it is not too small |
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265 | end DO |
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266 | BV(:, 1) = BV(:, 2) |
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267 | UH(:, 1) = 0. |
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268 | VH(:, 1) = 0. |
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269 | BV(:, nlayer + 1) = BV(:, nlayer) |
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270 | UH(:, nlayer + 1) = UU(:, nlayer) |
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271 | VH(:, nlayer + 1) = VV(:, nlayer) |
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272 | cmax(:,launch)=UU(:, launch) |
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273 | DO ii=1,ngrid |
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274 | KSTAR = PI/SQRT(cell_area(II)) |
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275 | MAX_K(II)=MAX(kmin,kstar) |
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276 | ENDDO |
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277 | call writediagfi(ngrid,'nonoro_bv','nonoro_bv', 'm',3,BV(:,2:nlayer+1)) |
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278 | |
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279 | !----------------------------------------------------------------------------------------------------------------------- |
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280 | ! 3. WAVES CHARACTERISTICS CHOSEN RANDOMLY |
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281 | !----------------------------------------------------------------------------------------------------------------------- |
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282 | ! The mod function of here a weird arguments are used to produce the waves characteristics in a stochastic way |
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283 | DO JW = 1, NW |
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284 | ! Angle |
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285 | DO II = 1, ngrid |
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286 | ! Angle (0 or PI so far) |
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287 | RAN_NUM_1=MOD(TT(II, JW) * 10., 1.) |
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288 | RAN_NUM_2= MOD(TT(II, JW) * 100., 1.) |
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289 | ZP(JW, II) = (SIGN(1., 0.5 - RAN_NUM_1) + 1.)* PI / 2. |
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290 | |
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291 | ! Horizontal wavenumber amplitude |
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292 | ! From Venus model: TN+GG April/June 2020 (rev2381) |
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293 | ! "Individual waves are not supposed to occupy the entire domain, but only a fraction of it" (Lott+2012) |
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294 | ! ZK(JW, II) = KMIN + (KMAX - KMIN) *RAN_NUM_2 |
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295 | KSTAR = PI/SQRT(cell_area(II)) |
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296 | ZK(JW, II) = MAX_K(II) + (KMAX - MAX_K(II)) *RAN_NUM_2 |
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297 | |
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298 | ! Horizontal phase speed |
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299 | ! this computation allows to get a gaussian distribution centered on 0 (right ?) |
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300 | ! then cmin is not useful, and it favors small values. |
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301 | CPHA(:) = 0. |
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302 | DO JJ = 1, NA |
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303 | RAN_NUM_3=MOD(TT(II, JW+3*JJ)**2, 1.) |
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304 | CPHA(ii) = CPHA(ii) + 2.*CMAX(ii,launch)* & |
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305 | (RAN_NUM_3 -0.5)* & |
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306 | SQRT(3.)/SQRT(NA*1.) |
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307 | END DO |
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308 | IF (CPHA(ii).LT.0.) THEN |
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309 | CPHA(ii) = -1.*CPHA(ii) |
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310 | ZP(JW,II) = ZP(JW,II) + PI |
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311 | ENDIF |
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312 | ! otherwise, with the computation below, we get a uniform distribution between cmin and cmax. |
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313 | ! ran_num_3 = mod(tt(ii, jw)**2, 1.) |
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314 | ! cpha = cmin + (cmax - cmin) * ran_num_3 |
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315 | |
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316 | ! Intrinsic frequency |
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317 | ZO(JW, II) = CPHA(II) * ZK(JW, II) |
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318 | ! Intrinsic frequency is imposed |
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319 | ZO(JW, II) = ZO(JW, II) & |
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320 | + ZK(JW, II) * COS(ZP(JW, II)) * UH(II, LAUNCH) & |
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321 | + ZK(JW, II) * SIN(ZP(JW, II)) * VH(II, LAUNCH) |
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322 | |
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323 | ! Momentum flux at launch level |
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324 | epflux_0(JW, II) = epflux_max & |
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325 | * MOD(100. * (UU(II, JW)**2 + VV(II, JW)**2), 1.) |
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326 | ENDDO |
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327 | end DO |
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328 | ! print*,'epflux_0 just after waves charac. ramdon:', epflux_0 |
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329 | |
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330 | !----------------------------------------------------------------------------------------------------------------------- |
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331 | ! 4. COMPUTE THE FLUXES |
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332 | !----------------------------------------------------------------------------------------------------------------------- |
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333 | ! 4.1 Vertical velocity at launching altitude to ensure the correct value to the imposed fluxes. |
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334 | !------------------------------------------------------ |
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335 | DO JW = 1, NW |
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336 | ! Evaluate intrinsic frequency at launching altitude: |
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337 | intr_freq_p(JW, :) = ZO(JW, :) & |
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338 | - ZK(JW, :) * COS(ZP(JW, :)) * UH(:, LAUNCH) & |
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339 | - ZK(JW, :) * SIN(ZP(JW, :)) * VH(:, LAUNCH) |
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340 | end DO |
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341 | |
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342 | ! VERSION WITHOUT CONVECTIVE SOURCE |
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343 | ! Vertical velocity at launch level, value to ensure the imposed |
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344 | ! mom flux: |
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345 | DO JW = 1, NW |
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346 | ! WW is directly a flux, here, not vertical velocity anymore |
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347 | WWP(JW, :) = epflux_0(JW,:) |
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348 | u_epflux_p(JW, :) = COS(ZP(JW, :)) * SIGN(1., intr_freq_p(JW, :)) * epflux_0(JW, :) |
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349 | v_epflux_p(JW, :) = SIN(ZP(JW, :)) * SIGN(1., intr_freq_p(JW, :)) * epflux_0(JW, :) |
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350 | end DO |
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351 | |
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352 | ! 4.2 Initial flux at launching altitude |
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353 | !------------------------------------------------------ |
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354 | u_epflux_tot(:, LAUNCH) = 0 |
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355 | v_epflux_tot(:, LAUNCH) = 0 |
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356 | DO JW = 1, NW |
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357 | u_epflux_tot(:, LAUNCH) = u_epflux_tot(:, LAUNCH) + u_epflux_p(JW, :) |
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358 | v_epflux_tot(:, LAUNCH) = v_epflux_tot(:, LAUNCH) + v_epflux_p(JW, :) |
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359 | end DO |
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360 | |
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361 | ! 4.3 Loop over altitudes, with passage from one level to the next done by: |
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362 | !---------------------------------------------------------------------------- |
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363 | ! i) conserving the EP flux, |
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364 | ! ii) dissipating a little, |
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365 | ! iii) testing critical levels, |
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366 | ! iv) testing the breaking. |
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367 | !---------------------------------------------------------------------------- |
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368 | DO LL = LAUNCH, nlayer - 1 |
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369 | ! W(KB)ARNING: ALL THE PHYSICS IS HERE (PASSAGE FROM ONE LEVEL TO THE NEXT) |
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370 | DO JW = 1, NW |
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371 | intr_freq_m(JW, :) = intr_freq_p(JW, :) |
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372 | WWM(JW, :) = WWP(JW, :) |
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373 | ! Intrinsic Frequency |
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374 | intr_freq_p(JW, :) = ZO(JW, :) - ZK(JW, :) * COS(ZP(JW,:)) * UH(:, LL + 1) & |
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375 | - ZK(JW, :) * SIN(ZP(JW,:)) * VH(:, LL + 1) |
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376 | ! Vertical velocity in flux formulation |
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377 | WWP(JW, :) = MIN( & |
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378 | ! No breaking (Eq.6) |
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379 | WWM(JW, :) & |
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380 | ! Dissipation (Eq. 8)(real rho used here rather than pressure |
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381 | ! parametration because the original code has a bug if the density of |
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382 | ! the planet at the launch altitude not approximate 1): ! |
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383 | * EXP(- RDISS*2./rho(:, LL + 1) & |
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384 | * ((BV(:, LL + 1) + BV(:, LL)) / 2.)**3 & |
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385 | / MAX(ABS(intr_freq_p(JW, :) + intr_freq_m(JW, :)) / 2., ZOISEC)**4 & |
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386 | * ZK(JW, :)**3 * (ZH(:, LL + 1) - ZH(:, LL))), & |
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387 | ! Critical levels (forced to zero if intrinsic frequency |
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388 | ! changes sign) |
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389 | MAX(0., SIGN(1., intr_freq_p(JW, :) * intr_freq_m(JW, :))) & |
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390 | ! Saturation (Eq. 12) (rho at launch altitude is imposed by J.Liu. |
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391 | ! Same reason with Eq. 8) |
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392 | * ABS(intr_freq_p(JW, :))**3 / (2.*BV(:, LL+1)) & |
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393 | * rho(:,launch)*exp(-zh(:, ll + 1) / H0) & |
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394 | * SAT**2 *KMIN**2 / ZK(JW, :)**4) |
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395 | end DO |
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396 | ! END OF W(KB)ARNING |
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397 | |
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398 | ! Evaluate EP-flux from Eq. 7 and give the right orientation to the stress |
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399 | DO JW = 1, NW |
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400 | u_epflux_p(JW, :) = SIGN(1.,intr_freq_p(JW, :)) * COS(ZP(JW, :)) * WWP(JW, :) |
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401 | v_epflux_p(JW, :) = SIGN(1.,intr_freq_p(JW, :)) * SIN(ZP(JW, :)) * WWP(JW, :) |
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402 | end DO |
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403 | |
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404 | u_epflux_tot(:, LL + 1) = 0. |
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405 | v_epflux_tot(:, LL + 1) = 0. |
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406 | DO JW = 1, NW |
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407 | u_epflux_tot(:, LL + 1) = u_epflux_tot(:, LL + 1) + u_epflux_p(JW, :) |
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408 | v_epflux_tot(:, LL + 1) = v_epflux_tot(:, LL + 1) + v_epflux_p(JW, :) |
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409 | EAST_GWSTRESS(:, LL)=EAST_GWSTRESS(:, LL)+MAX(0.,u_epflux_p(JW,:))/FLOAT(NW) |
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410 | WEST_GWSTRESS(:, LL)=WEST_GWSTRESS(:, LL)+MIN(0.,u_epflux_p(JW,:))/FLOAT(NW) |
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411 | end DO |
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412 | end DO ! DO LL = LAUNCH, nlayer - 1 |
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413 | |
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414 | !----------------------------------------------------------------------------------------------------------------------- |
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415 | ! 5. TENDENCY CALCULATIONS |
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416 | !----------------------------------------------------------------------------------------------------------------------- |
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417 | |
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418 | ! 5.1 Flow rectification at the top and in the low layers |
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419 | ! -------------------------------------------------------- |
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420 | ! Warning, this is the total on all GW |
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421 | u_epflux_tot(:, nlayer + 1) = 0. |
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422 | v_epflux_tot(:, nlayer + 1) = 0. |
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423 | |
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424 | ! Here, big change compared to FLott version: |
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425 | ! We compensate (u_epflux_tot(:, LAUNCH), ie total emitted upward flux |
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426 | ! over the layers max(1,LAUNCH-3) to LAUNCH-1 |
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427 | DO LL = 1, max(1,LAUNCH-3) |
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428 | u_epflux_tot(:, LL) = 0. |
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429 | v_epflux_tot(:, LL) = 0. |
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430 | end DO |
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431 | DO LL = max(2,LAUNCH-2), LAUNCH-1 |
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432 | u_epflux_tot(:, LL) = u_epflux_tot(:, LL - 1) + u_epflux_tot(:, LAUNCH) * & |
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433 | (PH(:,LL)-PH(:,LL-1)) / (PH(:,LAUNCH)-PH(:,max(1,LAUNCH-3))) |
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434 | v_epflux_tot(:, LL) = v_epflux_tot(:, LL - 1) + v_epflux_tot(:, LAUNCH) * & |
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435 | (PH(:,LL)-PH(:,LL-1)) / (PH(:,LAUNCH)-PH(:,max(1,LAUNCH-3))) |
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436 | EAST_GWSTRESS(:,LL) = EAST_GWSTRESS(:, LL - 1) + & |
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437 | EAST_GWSTRESS(:, LAUNCH) * (PH(:,LL)-PH(:,LL-1))/ & |
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438 | (PH(:,LAUNCH)-PH(:,max(1,LAUNCH-3))) |
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439 | WEST_GWSTRESS(:,LL) = WEST_GWSTRESS(:, LL - 1) + & |
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440 | WEST_GWSTRESS(:, LAUNCH) * (PH(:,LL)-PH(:,LL-1))/ & |
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441 | (PH(:,LAUNCH)-PH(:,max(1,LAUNCH-3))) |
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442 | end DO |
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443 | ! This way, the total flux from GW is zero, but there is a net transport |
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444 | ! (upward) that should be compensated by circulation |
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445 | ! and induce additional friction at the surface |
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446 | call writediagfi(ngrid,'nonoro_u_epflux_tot','nonoro_u_epflux_tot', '',3,u_epflux_tot(:,2:nlayer+1)) |
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447 | call writediagfi(ngrid,'nonoro_v_epflux_tot','nonoro_v_epflux_tot', '',3,v_epflux_tot(:,2:nlayer+1)) |
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448 | |
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449 | ! 5.2 AR-1 RECURSIVE FORMULA (13) IN VERSION 4 |
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450 | !--------------------------------------------- |
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451 | DO LL = 1, nlayer |
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452 | !Notice here the d_u and d_v are tendency (For Mars) but not increment(Venus). |
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453 | d_u(:, LL) = G * (u_epflux_tot(:, LL + 1) - u_epflux_tot(:, LL)) & |
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454 | / (PH(:, LL + 1) - PH(:, LL)) |
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455 | d_v(:, LL) = G * (v_epflux_tot(:, LL + 1) - v_epflux_tot(:, LL)) & |
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456 | / (PH(:, LL + 1) - PH(:, LL)) |
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457 | ENDDO |
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458 | d_t(:,:) = 0. |
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459 | call writediagfi(ngrid,'nonoro_d_u','nonoro_d_u', '',3,d_u) |
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460 | call writediagfi(ngrid,'nonoro_d_v','nonoro_d_v', '',3,d_v) |
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461 | |
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462 | ! 5.3 Update tendency of wind with the previous (and saved) values |
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463 | !----------------------------------------------------------------- |
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464 | d_u(:,:) = DTIME/DELTAT/REAL(NW) * d_u(:,:) & |
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465 | + (1.-DTIME/DELTAT) * du_nonoro_gwd(:,:) |
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466 | d_v(:,:) = DTIME/DELTAT/REAL(NW) * d_v(:,:) & |
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467 | + (1.-DTIME/DELTAT) * dv_nonoro_gwd(:,:) |
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468 | du_nonoro_gwd(:,:) = d_u(:,:) |
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469 | dv_nonoro_gwd(:,:) = d_v(:,:) |
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470 | |
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471 | call writediagfi(ngrid,'du_nonoro_gwd','du_nonoro_gwd', '',3,du_nonoro_gwd) |
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472 | call writediagfi(ngrid,'dv_nonoro_gwd','dv_nonoro_gwd', '',3,dv_nonoro_gwd) |
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473 | |
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474 | ! Cosmetic: evaluation of the cumulated stress |
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475 | ZUSTR(:) = 0. |
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476 | ZVSTR(:) = 0. |
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477 | DO LL = 1, nlayer |
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478 | ZUSTR(:) = ZUSTR(:) + D_U(:, LL) *rho(:, LL) * (ZH(:, LL + 1) - ZH(:, LL))*DTIME |
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479 | ZVSTR(:) = ZVSTR(:) + D_V(:, LL) *rho(:, LL) * (ZH(:, LL + 1) - ZH(:, LL))*DTIME |
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480 | ENDDO |
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481 | |
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482 | !#ifdef CPP_XIOS |
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483 | ! call send_xios_field("du_nonoro", d_u) |
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484 | ! call send_xios_field("dv_nonoro", d_v) |
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485 | ! call send_xios_field("east_gwstress", east_gwstress) |
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486 | ! call send_xios_field("west_gwstress", west_gwstress) |
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487 | !#endif |
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488 | |
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489 | END SUBROUTINE NONORO_GWD_RAN |
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490 | |
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491 | |
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492 | |
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493 | ! ======================================================== |
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494 | ! Subroutines used to allocate/deallocate module variables |
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495 | ! ======================================================== |
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496 | SUBROUTINE ini_nonoro_gwd_ran(ngrid,nlayer) |
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497 | |
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498 | IMPLICIT NONE |
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499 | |
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500 | INTEGER, INTENT (in) :: ngrid ! number of atmospheric columns |
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501 | INTEGER, INTENT (in) :: nlayer ! number of atmospheric layers |
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502 | |
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503 | allocate(du_nonoro_gwd(ngrid,nlayer)) |
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504 | allocate(dv_nonoro_gwd(ngrid,nlayer)) |
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505 | allocate(east_gwstress(ngrid,nlayer)) |
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506 | east_gwstress(:,:)=0 |
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507 | allocate(west_gwstress(ngrid,nlayer)) |
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508 | west_gwstress(:,:)=0 |
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509 | |
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510 | END SUBROUTINE ini_nonoro_gwd_ran |
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511 | ! ---------------------------------- |
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512 | SUBROUTINE end_nonoro_gwd_ran |
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513 | |
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514 | IMPLICIT NONE |
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515 | |
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516 | if (allocated(du_nonoro_gwd)) deallocate(du_nonoro_gwd) |
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517 | if (allocated(dv_nonoro_gwd)) deallocate(dv_nonoro_gwd) |
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518 | if (allocated(east_gwstress)) deallocate(east_gwstress) |
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519 | if (allocated(west_gwstress)) deallocate(west_gwstress) |
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520 | |
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521 | END SUBROUTINE end_nonoro_gwd_ran |
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522 | |
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523 | END MODULE nonoro_gwd_ran_mod |
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