1 | ! |
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2 | !$Id: cdrag.F90 2886 2017-05-20 07:41:16Z acozic $ |
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3 | ! |
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4 | SUBROUTINE cdrag(knon, nsrf, & |
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5 | speed, t1, q1, zgeop1, & |
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6 | psol, tsurf, qsurf, z0m, z0h, & |
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7 | cdm, cdh, zri, pref) |
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8 | |
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9 | USE dimphy |
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10 | USE indice_sol_mod |
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11 | USE print_control_mod, ONLY: lunout, prt_level |
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12 | USE ioipsl_getin_p_mod, ONLY : getin_p |
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13 | |
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14 | IMPLICIT NONE |
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15 | ! ================================================================= c |
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16 | ! |
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17 | ! Objet : calcul des cdrags pour le moment (pcfm) et |
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18 | ! les flux de chaleur sensible et latente (pcfh) d'apr??s |
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19 | ! Louis 1982, Louis 1979, King et al 2001 |
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20 | ! ou Zilitinkevich et al 2002 pour les cas stables, Louis 1979 |
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21 | ! et 1982 pour les cas instables |
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22 | ! |
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23 | ! Modified history: |
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24 | ! writting on the 20/05/2016 |
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25 | ! modified on the 13/12/2016 to be adapted to LMDZ6 |
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26 | ! |
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27 | ! References: |
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28 | ! Louis, J. F., 1979: A parametric model of vertical eddy fluxes in the |
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29 | ! atmosphere. Boundary-Layer Meteorology. 01/1979; 17(2):187-202. |
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30 | ! Louis, J. F., Tiedtke, M. and Geleyn, J. F., 1982: `A short history of the |
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31 | ! operational PBL parametrization at ECMWF'. Workshop on boundary layer |
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32 | ! parametrization, November 1981, ECMWF, Reading, England. |
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33 | ! Page: 19. Equations in Table 1. |
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34 | ! Mascart P, Noilhan J, Giordani H 1995.A MODIFIED PARAMETERIZATION OF FLUX-PROFILE RELATIONSHIPS |
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35 | ! IN THE SURFACE LAYER USING DIFFERENT ROUGHNESS LENGTH VALUES FOR HEAT AND MOMENTUM |
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36 | ! Boundary-Layer Meteorology 72: 331-344 |
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37 | ! Anton Beljaars. May 1992. The parametrization of the planetary boundary layer. |
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38 | ! European Centre for Medium-Range Weather Forecasts. |
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39 | ! Equations: 110-113. Page 40. |
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40 | ! Miller,M.J., A.C.M.Beljaars, T.N.Palmer. 1992. The sensitivity of the ECMWF |
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41 | ! model to the parameterization of evaporation from the tropical oceans. J. |
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42 | ! Climate, 5:418-434. |
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43 | ! King J.C, Connolley, W.M ad Derbyshire S.H. 2001, Sensitivity of Modelled Antarctic climate |
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44 | ! to surface and boundary-layer flux parametrizations |
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45 | ! QJRMS, 127, pp 779-794 |
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46 | ! |
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47 | ! ================================================================= c |
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48 | ! ================================================================= c |
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49 | ! On choisit le couple de fonctions de correction avec deux flags: |
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50 | ! Un pour les cas instables, un autre pour les cas stables |
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51 | ! |
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52 | ! iflag_corr_insta: |
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53 | ! 1: Louis 1979 avec les modifications de Mascart 1995 (z0/= z0h) |
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54 | ! 2: Louis 1982 |
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55 | ! 3: Laurent Li |
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56 | ! |
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57 | ! iflag_corr_sta: |
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58 | ! 1: Louis 1979 avec les modifications de Mascart 1995 (z0/= z0h) |
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59 | ! 2: Louis 1982 |
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60 | ! 3: Laurent Li |
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61 | ! 4: King 2001 (SHARP) |
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62 | ! 5: MO 1st order theory (allow collapse of turbulence) |
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63 | ! |
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64 | ! |
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65 | !***************************************************************** |
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66 | ! Parametres d'entree |
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67 | !***************************************************************** |
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68 | |
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69 | INTEGER, INTENT(IN) :: knon, nsrf ! nombre de points de grille sur l'horizontal + type de surface |
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70 | REAL, DIMENSION(klon), INTENT(IN) :: speed ! module du vent au 1er niveau du modele |
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71 | REAL, DIMENSION(klon), INTENT(IN) :: zgeop1! geopotentiel au 1er niveau du modele |
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72 | REAL, DIMENSION(klon), INTENT(IN) :: tsurf ! Surface temperature (K) |
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73 | REAL, DIMENSION(klon), INTENT(IN) :: qsurf ! Surface humidity (Kg/Kg) |
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74 | REAL, DIMENSION(klon), INTENT(IN) :: z0m, z0h ! Rugosity at surface (m) |
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75 | REAL, DIMENSION(klon), INTENT(IN) :: t1 ! Temperature au premier niveau (K) |
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76 | REAL, DIMENSION(klon), INTENT(IN) :: q1 ! humidite specifique au premier niveau (kg/kg) |
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77 | REAL, DIMENSION(klon), INTENT(IN) :: psol ! pression au sol |
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78 | |
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79 | |
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80 | |
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81 | ! Parametres de sortie |
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82 | !****************************************************************** |
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83 | REAL, DIMENSION(klon), INTENT(OUT) :: cdm ! Drag coefficient for heat flux |
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84 | REAL, DIMENSION(klon), INTENT(OUT) :: cdh ! Drag coefficient for momentum |
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85 | REAL, DIMENSION(klon), INTENT(OUT) :: zri ! Richardson number |
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86 | REAL, DIMENSION(klon), INTENT(OUT) :: pref ! Pression au niveau zgeop/RG |
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87 | |
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88 | ! Variables Locales |
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89 | !****************************************************************** |
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90 | |
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91 | |
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92 | INCLUDE "YOMCST.h" |
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93 | INCLUDE "YOETHF.h" |
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94 | INCLUDE "clesphys.h" |
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95 | |
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96 | |
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97 | REAL, PARAMETER :: CKAP=0.40, CKAPT=0.42 |
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98 | REAL CEPDU2 |
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99 | REAL ALPHA |
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100 | REAL CB,CC,CD,C2,C3 |
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101 | REAL MU, CM, CH, B, CMstar, CHstar |
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102 | REAL PM, PH, BPRIME |
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103 | REAL C |
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104 | INTEGER ng_q1 ! Number of grids that q1 < 0.0 |
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105 | INTEGER ng_qsurf ! Number of grids that qsurf < 0.0 |
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106 | INTEGER i |
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107 | REAL zdu2, ztsolv |
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108 | REAL ztvd, zscf |
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109 | REAL zucf, zcr |
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110 | REAL friv, frih |
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111 | REAL, DIMENSION(klon) :: FM, FH ! stability functions |
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112 | REAL, DIMENSION(klon) :: cdmn, cdhn ! Drag coefficient in neutral conditions |
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113 | REAL zzzcd |
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114 | |
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115 | LOGICAL, SAVE :: firstcall = .TRUE. |
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116 | !$OMP THREADPRIVATE(firstcall) |
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117 | INTEGER, SAVE :: iflag_corr_sta |
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118 | !$OMP THREADPRIVATE(iflag_corr_sta) |
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119 | INTEGER, SAVE :: iflag_corr_insta |
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120 | !$OMP THREADPRIVATE(iflag_corr_insta) |
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121 | |
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122 | !===================================================================c |
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123 | ! Valeurs numeriques des constantes |
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124 | !===================================================================c |
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125 | |
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126 | |
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127 | ! Minimum du carre du vent |
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128 | |
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129 | CEPDU2 = (0.1)**2 |
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130 | |
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131 | ! Louis 1982 |
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132 | |
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133 | CB=5.0 |
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134 | CC=5.0 |
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135 | CD=5.0 |
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136 | |
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137 | |
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138 | ! King 2001 |
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139 | |
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140 | C2=0.25 |
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141 | C3=0.0625 |
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142 | |
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143 | |
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144 | ! Louis 1979 |
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145 | |
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146 | BPRIME=4.7 |
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147 | B=9.4 |
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148 | |
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149 | |
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150 | !MO |
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151 | |
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152 | ALPHA=5.0 |
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153 | |
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154 | |
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155 | ! ================================================================= c |
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156 | ! Tests avant de commencer |
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157 | ! Fuxing WANG, 04/03/2015 |
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158 | ! To check if there are negative q1, qsurf values. |
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159 | !====================================================================c |
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160 | ng_q1 = 0 ! Initialization |
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161 | ng_qsurf = 0 ! Initialization |
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162 | DO i = 1, knon |
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163 | IF (q1(i).LT.0.0) ng_q1 = ng_q1 + 1 |
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164 | IF (qsurf(i).LT.0.0) ng_qsurf = ng_qsurf + 1 |
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165 | ENDDO |
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166 | IF (ng_q1.GT.0 .and. prt_level > 5) THEN |
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167 | WRITE(lunout,*)" *** Warning: Negative q1(humidity at 1st level) values in cdrag.F90 !" |
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168 | WRITE(lunout,*)" The total number of the grids is: ", ng_q1 |
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169 | WRITE(lunout,*)" The negative q1 is set to zero " |
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170 | ! abort_message="voir ci-dessus" |
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171 | ! CALL abort_physic(modname,abort_message,1) |
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172 | ENDIF |
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173 | IF (ng_qsurf.GT.0 .and. prt_level > 5) THEN |
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174 | WRITE(lunout,*)" *** Warning: Negative qsurf(humidity at surface) values in cdrag.F90 !" |
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175 | WRITE(lunout,*)" The total number of the grids is: ", ng_qsurf |
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176 | WRITE(lunout,*)" The negative qsurf is set to zero " |
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177 | ! abort_message="voir ci-dessus" |
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178 | ! CALL abort_physic(modname,abort_message,1) |
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179 | ENDIF |
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180 | |
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181 | |
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182 | |
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183 | !=============================================================================c |
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184 | ! Calcul du cdrag |
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185 | !=============================================================================c |
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186 | |
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187 | ! On choisit les fonctions de stabilite utilisees au premier appel |
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188 | !************************************************************************** |
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189 | IF (firstcall) THEN |
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190 | iflag_corr_sta=2 |
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191 | iflag_corr_insta=2 |
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192 | |
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193 | CALL getin_p('iflag_corr_sta',iflag_corr_sta) |
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194 | CALL getin_p('iflag_corr_insta',iflag_corr_insta) |
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195 | |
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196 | firstcall = .FALSE. |
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197 | ENDIF |
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198 | |
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199 | !xxxxxxxxxxxxxxxxxxxxxxx |
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200 | DO i = 1, knon ! Boucle sur l'horizontal |
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201 | !xxxxxxxxxxxxxxxxxxxxxxx |
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202 | |
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203 | |
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204 | ! calculs preliminaires: |
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205 | !*********************** |
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206 | |
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207 | |
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208 | zdu2 = MAX(CEPDU2, speed(i)**2) |
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209 | pref(i) = EXP(LOG(psol(i)) - zgeop1(i)/(RD*t1(i)* & |
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210 | (1.+ RETV * max(q1(i),0.0)))) ! negative q1 set to zero |
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211 | ztsolv = tsurf(i) * (1.0+RETV*max(qsurf(i),0.0)) ! negative qsurf set to zero |
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212 | ztvd = (t1(i)+zgeop1(i)/RCPD/(1.+RVTMP2*q1(i))) & |
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213 | *(1.+RETV*max(q1(i),0.0)) ! negative q1 set to zero |
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214 | zri(i) = zgeop1(i)*(ztvd-ztsolv)/(zdu2*ztvd) |
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215 | |
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216 | |
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217 | ! Coefficients CD neutres : k^2/ln(z/z0) et k^2/(ln(z/z0)*ln(z/z0h)): |
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218 | !******************************************************************** |
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219 | |
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220 | zzzcd=CKAP/LOG(1.+zgeop1(i)/(RG*z0m(i))) |
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221 | cdmn(i) = zzzcd*zzzcd |
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222 | cdhn(i) = zzzcd*(CKAP/LOG(1.+zgeop1(i)/(RG*z0h(i)))) |
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223 | |
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224 | |
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225 | ! Calcul des fonctions de stabilit?? FMs, FHs, FMi, FHi : |
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226 | !******************************************************* |
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227 | |
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228 | !'''''''''''''' |
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229 | ! Cas instables |
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230 | !'''''''''''''' |
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231 | |
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232 | IF (zri(i) .LT. 0.) THEN |
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233 | |
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234 | |
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235 | SELECT CASE (iflag_corr_insta) |
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236 | |
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237 | CASE (1) ! Louis 1979 + Mascart 1995 |
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238 | |
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239 | MU=LOG(MAX(z0m(i)/z0h(i),0.01)) |
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240 | CMstar=6.8741+2.6933*MU-0.3601*(MU**2)+0.0154*(MU**3) |
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241 | PM=0.5233-0.0815*MU+0.0135*(MU**2)-0.001*(MU**3) |
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242 | CHstar=3.2165+4.3431*MU+0.536*(MU**2)-0.0781*(MU**3) |
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243 | PH=0.5802-0.1571*MU+0.0327*(MU**2)-0.0026*(MU**3) |
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244 | CH=CHstar*B*CKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) & |
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245 | & * CKAPT/LOG(z0h(i)+zgeop1(i)/(RG*z0h(i))) & |
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246 | & * ((zgeop1(i)/(RG*z0h(i)))**PH) |
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247 | CM=CMstar*B*CKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) & |
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248 | & *CKAP/LOG(z0m(i)+zgeop1(i)/(RG*z0m(i))) & |
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249 | & * ((zgeop1(i)/(RG*z0m(i)))**PM) |
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250 | |
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251 | |
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252 | |
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253 | |
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254 | FM(i)=1.-B*zri(i)/(1.+CM*SQRT(ABS(zri(i)))) |
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255 | FH(i)=1.-B*zri(i)/(1.+CH*SQRT(ABS(zri(i)))) |
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256 | |
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257 | CASE (2) ! Louis 1982 |
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258 | |
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259 | zucf = 1./(1.+3.0*CB*CC*cdmn(i)*SQRT(ABS(zri(i)) & |
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260 | *(1.0+zgeop1(i)/(RG*z0m(i))))) |
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261 | FM(i) = AMAX1((1.-2.0*CB*zri(i)*zucf),f_ri_cd_min) |
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262 | FH(i) = AMAX1((1.-3.0*CB*zri(i)*zucf),f_ri_cd_min) |
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263 | |
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264 | |
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265 | CASE (3) ! Laurent Li |
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266 | |
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267 | |
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268 | FM(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min) |
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269 | FH(i) = MAX(SQRT(1.0-18.0*zri(i)),f_ri_cd_min) |
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270 | |
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271 | |
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272 | |
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273 | CASE default ! Louis 1982 |
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274 | |
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275 | zucf = 1./(1.+3.0*CB*CC*cdmn(i)*SQRT(ABS(zri(i)) & |
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276 | *(1.0+zgeop1(i)/(RG*z0m(i))))) |
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277 | FM(i) = AMAX1((1.-2.0*CB*zri(i)*zucf),f_ri_cd_min) |
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278 | FH(i) = AMAX1((1.-3.0*CB*zri(i)*zucf),f_ri_cd_min) |
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279 | |
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280 | |
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281 | END SELECT |
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282 | |
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283 | |
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284 | |
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285 | ! Calcul des drags |
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286 | |
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287 | |
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288 | cdm(i)=cdmn(i)*FM(i) |
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289 | cdh(i)=f_cdrag_ter*cdhn(i)*FH(i) |
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290 | |
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291 | |
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292 | ! Traitement particulier des cas oceaniques |
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293 | ! on applique Miller et al 1992 en l'absence de gustiness |
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294 | |
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295 | IF (nsrf == is_oce) THEN |
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296 | ! cdh(i)=f_cdrag_oce*cdhn(i)*FH(i) |
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297 | |
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298 | IF(iflag_gusts==0) THEN |
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299 | zcr = (0.0016/(cdmn(i)*SQRT(zdu2)))*ABS(ztvd-ztsolv)**(1./3.) |
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300 | cdh(i) =f_cdrag_oce* cdhn(i)*(1.0+zcr**1.25)**(1./1.25) |
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301 | ENDIF |
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302 | |
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303 | |
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304 | cdm(i)=MIN(cdm(i),cdmmax) |
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305 | cdh(i)=MIN(cdh(i),cdhmax) |
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306 | |
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307 | END IF |
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308 | |
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309 | |
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310 | |
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311 | ELSE |
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312 | |
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313 | !''''''''''''''' |
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314 | ! Cas stables : |
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315 | !''''''''''''''' |
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316 | zri(i) = MIN(20.,zri(i)) |
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317 | |
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318 | SELECT CASE (iflag_corr_sta) |
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319 | |
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320 | CASE (1) ! Louis 1979 + Mascart 1995 |
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321 | |
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322 | FM(i)=MAX(1./((1+BPRIME*zri(i))**2),f_ri_cd_min) |
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323 | FH(i)=FM(i) |
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324 | |
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325 | |
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326 | CASE (2) ! Louis 1982 |
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327 | |
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328 | zscf = SQRT(1.+CD*ABS(zri(i))) |
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329 | FM(i)= AMAX1(1. / (1.+2.*CB*zri(i)/zscf), f_ri_cd_min) |
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330 | FH(i)= AMAX1(1./ (1.+3.*CB*zri(i)*zscf), f_ri_cd_min ) |
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331 | |
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332 | |
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333 | CASE (3) ! Laurent Li |
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334 | |
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335 | FM(i)=MAX(1.0 / (1.0+10.0*zri(i)*(1+8.0*zri(i))),f_ri_cd_min) |
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336 | FH(i)=FM(i) |
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337 | |
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338 | |
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339 | CASE (4) ! King 2001 |
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340 | |
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341 | if (zri(i) .LT. C2/2.) then |
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342 | FM(i)=MAX((1.-zri(i)/C2)**2,f_ri_cd_min) |
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343 | FH(i)= FM(i) |
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344 | |
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345 | |
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346 | else |
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347 | FM(i)=MAX(C3*((C2/zri(i))**2),f_ri_cd_min) |
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348 | FH(i)= FM(i) |
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349 | endif |
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350 | |
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351 | |
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352 | CASE (5) ! MO |
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353 | |
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354 | if (zri(i) .LT. 1./alpha) then |
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355 | |
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356 | FM(i)=MAX((1.-alpha*zri(i))**2,f_ri_cd_min) |
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357 | FH(i)=FM(i) |
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358 | |
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359 | else |
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360 | |
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361 | |
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362 | FM(i)=MAX(1E-7,f_ri_cd_min) |
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363 | FH(i)=FM(i) |
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364 | |
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365 | endif |
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366 | |
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367 | |
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368 | |
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369 | |
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370 | |
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371 | CASE default ! Louis 1982 |
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372 | |
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373 | zscf = SQRT(1.+CD*ABS(zri(i))) |
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374 | FM(i)= AMAX1(1. / (1.+2.*CB*zri(i)/zscf), f_ri_cd_min) |
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375 | FH(i)= AMAX1(1./ (1.+3.*CB*zri(i)*zscf), f_ri_cd_min ) |
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376 | |
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377 | |
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378 | |
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379 | END SELECT |
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380 | |
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381 | ! Calcul des drags |
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382 | |
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383 | |
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384 | cdm(i)=cdmn(i)*FM(i) |
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385 | cdh(i)=f_cdrag_ter*cdhn(i)*FH(i) |
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386 | |
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387 | IF(nsrf.EQ.is_oce) THEN |
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388 | |
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389 | cdh(i)=f_cdrag_oce*cdhn(i)*FH(i) |
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390 | cdm(i)=MIN(cdm(i),cdmmax) |
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391 | cdh(i)=MIN(cdh(i),cdhmax) |
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392 | |
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393 | ENDIF |
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394 | |
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395 | |
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396 | ENDIF |
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397 | |
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398 | |
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399 | |
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400 | |
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401 | !xxxxxxxxxxx |
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402 | END DO ! Fin de la boucle sur l'horizontal |
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403 | !xxxxxxxxxxx |
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404 | ! ================================================================= c |
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405 | |
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406 | |
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407 | |
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408 | END SUBROUTINE cdrag |
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409 | |
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410 | |
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411 | !++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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