1 | subroutine aaam_bud (iam,nlon,nlev,rjour,rsec, |
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2 | i rea,rg,ome, |
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3 | i plat,plon,phis, |
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4 | i dragu,liftu,clu, |
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5 | i dragv,liftv,clv, |
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6 | i p, u, v) |
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7 | c |
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8 | use dimphy |
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9 | use mod_grid_phy_lmdz, only: nbp_lon, nbp_lat, klon_glo |
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10 | implicit none |
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11 | c====================================================================== |
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12 | c Auteur(s): F.Lott (LMD/CNRS) date: 20031020 |
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13 | c Object: Compute different terms of the axial AAAM Budget. |
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14 | C No outputs, every AAM quantities are written on the IAM |
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15 | C File. |
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16 | C WARNING: Only valid for regular rectangular grids. |
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17 | C REMARK: CALL DANS PHYSIQ AFTER lift_noro: |
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18 | C CALL aaam_bud (27,klon,klev,rjourvrai,gmtime, |
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19 | C C ra,rg,romega, |
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20 | C C rlat,rlon,pphis, |
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21 | C C zustrdr,zustrli,zustrcl, |
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22 | C C zvstrdr,zvstrli,zvstrcl, |
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23 | C C paprs,u,v) |
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24 | C |
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25 | C====================================================================== |
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26 | c Explicit Arguments: |
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27 | c ================== |
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28 | c iam-----input-I-File number where AAMs and torques are written |
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29 | c It is a formatted file that has been opened |
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30 | c in physiq.F |
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31 | c nlon----input-I-Total number of horizontal points that get into physics |
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32 | c nlev----input-I-Number of vertical levels |
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33 | c rjour---input-R-Jour compte depuis le debut de la simu (run.def) |
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34 | c rsec----input-R-Seconde de la journee |
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35 | c rea-----input-R-Earth radius |
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36 | c rg------input-R-gravity constant |
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37 | c ome-----input-R-Earth rotation rate |
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38 | c plat ---input-R-Latitude en degres |
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39 | c plon ---input-R-Longitude en degres |
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40 | c phis ---input-R-Geopotential at the ground |
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41 | c dragu---input-R-orodrag stress (zonal) |
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42 | c liftu---input-R-orolift stress (zonal) |
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43 | c clu-----input-R-Boundary layer stress (zonal) |
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44 | c dragv---input-R-orodrag stress (Meridional) |
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45 | c liftv---input-R-orolift stress (Meridional) |
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46 | c clv-----input-R-Boundary layer stress (Meridional) |
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47 | c p-------input-R-Pressure (Pa) at model half levels |
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48 | c u-------input-R-Horizontal wind (m/s) |
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49 | c v-------input-R-Meridional wind (m/s) |
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50 | c |
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51 | c |
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52 | c Implicit Arguments: |
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53 | c =================== |
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54 | c |
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55 | c nbp_lon--common-I: Number of longitude intervals |
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56 | c nbp_lat-1--common-I: Number of latitude intervals |
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57 | c klon-common-I: Number of points seen by the physics |
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58 | c nbp_lon*(nbp_lat-1-1)+2 for instance |
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59 | c klev-common-I: Number of vertical layers |
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60 | c====================================================================== |
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61 | c Local Variables: |
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62 | c ================ |
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63 | c dlat-----R: Latitude increment (Radians) |
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64 | c dlon-----R: Longitude increment (Radians) |
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65 | c raam ---R: Wind AAM (3 Components, 1 & 2 Equatoriales; 3 Axiale) |
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66 | c oaam ---R: Mass AAM (3 Components, 1 & 2 Equatoriales; 3 Axiale) |
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67 | c tmou-----R: Resolved Mountain torque (3 components) |
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68 | c tsso-----R: Parameterised Moutain drag torque (3 components) |
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69 | c tbls-----R: Parameterised Boundary layer torque (3 components) |
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70 | c |
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71 | c LOCAL ARRAY: |
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72 | c =========== |
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73 | c zs ---R: Topographic height |
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74 | c ps ---R: Surface Pressure |
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75 | c ub ---R: Barotropic wind zonal |
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76 | c vb ---R: Barotropic wind meridional |
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77 | c zlat ---R: Latitude in radians |
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78 | c zlon ---R: Longitude in radians |
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79 | c====================================================================== |
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80 | |
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81 | c |
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82 | c ARGUMENTS |
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83 | c |
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84 | INTEGER iam,nlon,nlev |
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85 | REAL rjour,rsec,rea,rg,ome |
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86 | REAL plat(nlon),plon(nlon),phis(nlon) |
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87 | REAL dragu(nlon),liftu(nlon),clu(nlon) |
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88 | REAL dragv(nlon),liftv(nlon),clv(nlon) |
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89 | REAL p(nlon,nlev+1), u(nlon,nlev), v(nlon,nlev) |
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90 | c |
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91 | c Variables locales: |
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92 | c |
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93 | INTEGER i,j,k,l |
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94 | REAL xpi,hadley,hadday |
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95 | REAL dlat,dlon |
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96 | REAL raam(3),oaam(3),tmou(3),tsso(3),tbls(3) |
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97 | integer iax |
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98 | |
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99 | |
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100 | REAL ZS(801,401),PS(801,401) |
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101 | REAL UB(801,401),VB(801,401) |
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102 | REAL SSOU(801,401),SSOV(801,401) |
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103 | REAL BLSU(801,401),BLSV(801,401) |
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104 | REAL ZLON(801),ZLAT(401) |
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105 | C |
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106 | C PUT AAM QUANTITIES AT ZERO: |
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107 | C |
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108 | if(nbp_lon+1.gt.801.or.nbp_lat.gt.401)then |
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109 | print *,' Pb de dimension dans aaam_bud' |
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110 | stop |
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111 | endif |
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112 | |
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113 | xpi=acos(-1.) |
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114 | hadley=1.e18 |
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115 | hadday=1.e18*1.e7 |
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116 | IF (klon_glo.EQ.1) THEN |
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117 | dlat=xpi |
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118 | ELSE |
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119 | dlat=xpi/float(nbp_lat-1) |
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120 | ENDIF |
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121 | dlon=2.*xpi/float(nbp_lon) |
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122 | |
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123 | do iax=1,3 |
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124 | oaam(iax)=0. |
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125 | raam(iax)=0. |
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126 | tmou(iax)=0. |
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127 | tsso(iax)=0. |
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128 | tbls(iax)=0. |
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129 | enddo |
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130 | |
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131 | C MOUNTAIN HEIGHT, PRESSURE AND BAROTROPIC WIND: |
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132 | |
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133 | C North pole values (j=1): |
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134 | |
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135 | l=1 |
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136 | |
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137 | ub(1,1)=0. |
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138 | vb(1,1)=0. |
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139 | do k=1,nlev |
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140 | ub(1,1)=ub(1,1)+u(l,k)*(p(l,k)-p(l,k+1))/rg |
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141 | vb(1,1)=vb(1,1)+v(l,k)*(p(l,k)-p(l,k+1))/rg |
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142 | enddo |
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143 | |
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144 | zlat(1)=plat(l)*xpi/180. |
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145 | |
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146 | do i=1,nbp_lon+1 |
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147 | |
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148 | zs(i,1)=phis(l)/rg |
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149 | ps(i,1)=p(l,1) |
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150 | ub(i,1)=ub(1,1) |
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151 | vb(i,1)=vb(1,1) |
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152 | ssou(i,1)=dragu(l)+liftu(l) |
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153 | ssov(i,1)=dragv(l)+liftv(l) |
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154 | blsu(i,1)=clu(l) |
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155 | blsv(i,1)=clv(l) |
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156 | |
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157 | enddo |
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158 | |
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159 | |
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160 | do j = 2,nbp_lat-1 |
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161 | |
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162 | C Values at Greenwich (Periodicity) |
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163 | |
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164 | zs(nbp_lon+1,j)=phis(l+1)/rg |
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165 | ps(nbp_lon+1,j)=p(l+1,1) |
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166 | ssou(nbp_lon+1,j)=dragu(l+1)+liftu(l+1) |
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167 | ssov(nbp_lon+1,j)=dragv(l+1)+liftv(l+1) |
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168 | blsu(nbp_lon+1,j)=clu(l+1) |
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169 | blsv(nbp_lon+1,j)=clv(l+1) |
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170 | zlon(nbp_lon+1)=-plon(l+1)*xpi/180. |
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171 | zlat(j)=plat(l+1)*xpi/180. |
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172 | |
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173 | ub(nbp_lon+1,j)=0. |
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174 | vb(nbp_lon+1,j)=0. |
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175 | do k=1,nlev |
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176 | ub(nbp_lon+1,j)=ub(nbp_lon+1,j)+u(l+1,k)* |
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177 | & (p(l+1,k)-p(l+1,k+1))/rg |
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178 | vb(nbp_lon+1,j)=vb(nbp_lon+1,j)+v(l+1,k)* |
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179 | & (p(l+1,k)-p(l+1,k+1))/rg |
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180 | enddo |
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181 | |
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182 | |
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183 | do i=1,nbp_lon |
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184 | |
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185 | l=l+1 |
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186 | zs(i,j)=phis(l)/rg |
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187 | ps(i,j)=p(l,1) |
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188 | ssou(i,j)=dragu(l)+liftu(l) |
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189 | ssov(i,j)=dragv(l)+liftv(l) |
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190 | blsu(i,j)=clu(l) |
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191 | blsv(i,j)=clv(l) |
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192 | zlon(i)=plon(l)*xpi/180. |
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193 | |
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194 | ub(i,j)=0. |
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195 | vb(i,j)=0. |
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196 | do k=1,nlev |
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197 | ub(i,j)=ub(i,j)+u(l,k)*(p(l,k)-p(l,k+1))/rg |
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198 | vb(i,j)=vb(i,j)+v(l,k)*(p(l,k)-p(l,k+1))/rg |
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199 | enddo |
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200 | |
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201 | enddo |
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202 | |
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203 | enddo |
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204 | |
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205 | |
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206 | C South Pole |
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207 | |
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208 | l=l+1 |
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209 | ub(1,nbp_lat)=0. |
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210 | vb(1,nbp_lat)=0. |
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211 | do k=1,nlev |
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212 | ub(1,nbp_lat)=ub(1,nbp_lat)+u(l,k)*(p(l,k)-p(l,k+1))/rg |
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213 | vb(1,nbp_lat)=vb(1,nbp_lat)+v(l,k)*(p(l,k)-p(l,k+1))/rg |
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214 | enddo |
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215 | zlat(nbp_lat)=plat(l)*xpi/180. |
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216 | |
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217 | do i=1,nbp_lon+1 |
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218 | zs(i,nbp_lat)=phis(l)/rg |
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219 | ps(i,nbp_lat)=p(l,1) |
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220 | ssou(i,nbp_lat)=dragu(l)+liftu(l) |
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221 | ssov(i,nbp_lat)=dragv(l)+liftv(l) |
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222 | blsu(i,nbp_lat)=clu(l) |
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223 | blsv(i,nbp_lat)=clv(l) |
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224 | ub(i,nbp_lat)=ub(1,nbp_lat) |
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225 | vb(i,nbp_lat)=vb(1,nbp_lat) |
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226 | enddo |
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227 | |
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228 | C |
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229 | C MOMENT ANGULAIRE |
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230 | C |
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231 | DO j=1,nbp_lat-1 |
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232 | DO i=1,nbp_lon |
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233 | |
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234 | raam(1)=raam(1)-rea**3*dlon*dlat*0.5* |
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235 | c (cos(zlon(i ))*sin(zlat(j ))*cos(zlat(j ))*ub(i ,j ) |
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236 | c +cos(zlon(i ))*sin(zlat(j+1))*cos(zlat(j+1))*ub(i ,j+1)) |
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237 | c +rea**3*dlon*dlat*0.5* |
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238 | c (sin(zlon(i ))*cos(zlat(j ))*vb(i ,j ) |
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239 | c +sin(zlon(i ))*cos(zlat(j+1))*vb(i ,j+1)) |
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240 | |
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241 | oaam(1)=oaam(1)-ome*rea**4*dlon*dlat/rg*0.5* |
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242 | c (cos(zlon(i ))*cos(zlat(j ))**2*sin(zlat(j ))*ps(i ,j ) |
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243 | c +cos(zlon(i ))*cos(zlat(j+1))**2*sin(zlat(j+1))*ps(i ,j+1)) |
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244 | |
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245 | raam(2)=raam(2)-rea**3*dlon*dlat*0.5* |
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246 | c (sin(zlon(i ))*sin(zlat(j ))*cos(zlat(j ))*ub(i ,j ) |
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247 | c +sin(zlon(i ))*sin(zlat(j+1))*cos(zlat(j+1))*ub(i ,j+1)) |
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248 | c -rea**3*dlon*dlat*0.5* |
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249 | c (cos(zlon(i ))*cos(zlat(j ))*vb(i ,j ) |
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250 | c +cos(zlon(i ))*cos(zlat(j+1))*vb(i ,j+1)) |
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251 | |
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252 | oaam(2)=oaam(2)-ome*rea**4*dlon*dlat/rg*0.5* |
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253 | c (sin(zlon(i ))*cos(zlat(j ))**2*sin(zlat(j ))*ps(i ,j ) |
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254 | c +sin(zlon(i ))*cos(zlat(j+1))**2*sin(zlat(j+1))*ps(i ,j+1)) |
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255 | |
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256 | raam(3)=raam(3)+rea**3*dlon*dlat*0.5* |
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257 | c (cos(zlat(j))**2*ub(i,j)+cos(zlat(j+1))**2*ub(i,j+1)) |
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258 | |
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259 | oaam(3)=oaam(3)+ome*rea**4*dlon*dlat/rg*0.5* |
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260 | c (cos(zlat(j))**3*ps(i,j)+cos(zlat(j+1))**3*ps(i,j+1)) |
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261 | |
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262 | ENDDO |
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263 | ENDDO |
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264 | |
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265 | C |
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266 | C COUPLE DES MONTAGNES: |
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267 | C |
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268 | |
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269 | DO j=1,nbp_lat-1 |
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270 | DO i=1,nbp_lon |
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271 | tmou(1)=tmou(1)-rea**2*dlon*0.5*sin(zlon(i)) |
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272 | c *(zs(i,j)-zs(i,j+1)) |
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273 | c *(cos(zlat(j+1))*ps(i,j+1)+cos(zlat(j))*ps(i,j)) |
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274 | tmou(2)=tmou(2)+rea**2*dlon*0.5*cos(zlon(i)) |
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275 | c *(zs(i,j)-zs(i,j+1)) |
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276 | c *(cos(zlat(j+1))*ps(i,j+1)+cos(zlat(j))*ps(i,j)) |
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277 | ENDDO |
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278 | ENDDO |
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279 | |
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280 | DO j=2,nbp_lat-1 |
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281 | DO i=1,nbp_lon |
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282 | tmou(1)=tmou(1)+rea**2*dlat*0.5*sin(zlat(j)) |
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283 | c *(zs(i+1,j)-zs(i,j)) |
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284 | c *(cos(zlon(i+1))*ps(i+1,j)+cos(zlon(i))*ps(i,j)) |
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285 | tmou(2)=tmou(2)+rea**2*dlat*0.5*sin(zlat(j)) |
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286 | c *(zs(i+1,j)-zs(i,j)) |
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287 | c *(sin(zlon(i+1))*ps(i+1,j)+sin(zlon(i))*ps(i,j)) |
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288 | tmou(3)=tmou(3)-rea**2*dlat*0.5* |
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289 | c cos(zlat(j))*(zs(i+1,j)-zs(i,j))*(ps(i+1,j)+ps(i,j)) |
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290 | ENDDO |
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291 | ENDDO |
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292 | C |
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293 | C COUPLES DES DIFFERENTES FRICTION AU SOL: |
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294 | C |
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295 | l=1 |
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296 | DO j=2,nbp_lat-1 |
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297 | DO i=1,nbp_lon |
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298 | l=l+1 |
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299 | tsso(1)=tsso(1)-rea**3*cos(zlat(j))*dlon*dlat* |
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300 | c ssou(i,j) *sin(zlat(j))*cos(zlon(i)) |
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301 | c +rea**3*cos(zlat(j))*dlon*dlat* |
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302 | c ssov(i,j) *sin(zlon(i)) |
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303 | |
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304 | tsso(2)=tsso(2)-rea**3*cos(zlat(j))*dlon*dlat* |
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305 | c ssou(i,j) *sin(zlat(j))*sin(zlon(i)) |
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306 | c -rea**3*cos(zlat(j))*dlon*dlat* |
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307 | c ssov(i,j) *cos(zlon(i)) |
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308 | |
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309 | tsso(3)=tsso(3)+rea**3*cos(zlat(j))*dlon*dlat* |
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310 | c ssou(i,j) *cos(zlat(j)) |
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311 | |
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312 | tbls(1)=tbls(1)-rea**3*cos(zlat(j))*dlon*dlat* |
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313 | c blsu(i,j) *sin(zlat(j))*cos(zlon(i)) |
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314 | c +rea**3*cos(zlat(j))*dlon*dlat* |
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315 | c blsv(i,j) *sin(zlon(i)) |
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316 | |
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317 | tbls(2)=tbls(2)-rea**3*cos(zlat(j))*dlon*dlat* |
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318 | c blsu(i,j) *sin(zlat(j))*sin(zlon(i)) |
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319 | c -rea**3*cos(zlat(j))*dlon*dlat* |
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320 | c blsv(i,j) *cos(zlon(i)) |
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321 | |
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322 | tbls(3)=tbls(3)+rea**3*cos(zlat(j))*dlon*dlat* |
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323 | c blsu(i,j) *cos(zlat(j)) |
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324 | |
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325 | ENDDO |
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326 | ENDDO |
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327 | |
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328 | |
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329 | c write(*,*) 'AAM',rsec, |
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330 | c c raam(3)/hadday,oaam(3)/hadday, |
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331 | c c tmou(3)/hadley,tsso(3)/hadley,tbls(3)/hadley |
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332 | |
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333 | write(iam,100)rjour+rsec/1.e7, |
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334 | c raam(1)/hadday,oaam(1)/hadday, |
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335 | c tmou(1)/hadley,tsso(1)/hadley,tbls(1)/hadley, |
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336 | c raam(2)/hadday,oaam(2)/hadday, |
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337 | c tmou(2)/hadley,tsso(2)/hadley,tbls(2)/hadley, |
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338 | c raam(3)/hadday,oaam(3)/hadday, |
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339 | c tmou(3)/hadley,tsso(3)/hadley,tbls(3)/hadley |
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340 | 100 format(F12.5,15(1x,F12.5)) |
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341 | c00 format(F12.5,5(1x,F12.5)) |
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342 | |
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343 | write(iam+1,*)((zs(i,j),i=1,nbp_lon),j=1,nbp_lat) |
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344 | write(iam+1,*)((ps(i,j),i=1,nbp_lon),j=1,nbp_lat) |
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345 | write(iam+1,*)((ub(i,j),i=1,nbp_lon),j=1,nbp_lat) |
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346 | write(iam+1,*)((vb(i,j),i=1,nbp_lon),j=1,nbp_lat) |
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347 | write(iam+1,*)((ssou(i,j),i=1,nbp_lon),j=1,nbp_lat) |
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348 | write(iam+1,*)((ssov(i,j),i=1,nbp_lon),j=1,nbp_lat) |
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349 | write(iam+1,*)((blsu(i,j),i=1,nbp_lon),j=1,nbp_lat) |
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350 | write(iam+1,*)((blsv(i,j),i=1,nbp_lon),j=1,nbp_lat) |
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351 | |
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352 | RETURN |
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353 | END |
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