1 | ! |
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2 | ! $Id: fyhyp.F 1403 2010-07-01 09:02:53Z fairhead $ |
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3 | ! |
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4 | c |
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5 | c |
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6 | SUBROUTINE fyhyp ( yzoomdeg, grossism, dzooma,tau , |
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7 | , rrlatu,yyprimu,rrlatv,yyprimv,rlatu2,yprimu2,rlatu1,yprimu1 , |
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8 | , champmin,champmax ) |
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9 | |
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10 | cc ... Version du 01/04/2001 .... |
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11 | |
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12 | IMPLICIT NONE |
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13 | c |
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14 | c ... Auteur : P. Le Van ... |
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15 | c |
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16 | c ....... d'apres formulations de R. Sadourny ....... |
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17 | c |
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18 | c Calcule les latitudes et derivees dans la grille du GCM pour une |
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19 | c fonction f(y) a tangente hyperbolique . |
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20 | c |
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21 | c grossism etant le grossissement ( = 2 si 2 fois, = 3 si 3 fois , etc) |
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22 | c dzoom etant la distance totale de la zone du zoom ( en radians ) |
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23 | c tau la raideur de la transition de l'interieur a l'exterieur du zoom |
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24 | c |
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25 | c |
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26 | c N.B : Il vaut mieux avoir : grossism * dzoom < pi/2 (radians) ,en lati. |
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27 | c ******************************************************************** |
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28 | c |
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29 | c |
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30 | #include "dimensions.h" |
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31 | #include "paramet.h" |
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32 | |
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33 | INTEGER nmax , nmax2 |
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34 | PARAMETER ( nmax = 30000, nmax2 = 2*nmax ) |
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35 | c |
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36 | c |
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37 | c ....... arguments d'entree ....... |
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38 | c |
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39 | REAL yzoomdeg, grossism,dzooma,tau |
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40 | c ( rentres par run.def ) |
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41 | |
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42 | c ....... arguments de sortie ....... |
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43 | c |
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44 | REAL rrlatu(jjp1), yyprimu(jjp1),rrlatv(jjm), yyprimv(jjm), |
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45 | , rlatu1(jjm), yprimu1(jjm), rlatu2(jjm), yprimu2(jjm) |
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46 | |
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47 | c |
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48 | c ..... champs locaux ..... |
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49 | c |
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50 | |
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51 | REAL dzoom |
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52 | REAL(KIND=8) ylat(jjp1), yprim(jjp1) |
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53 | REAL(KIND=8) yuv |
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54 | REAL(KIND=8) yt(0:nmax2) |
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55 | REAL(KIND=8) fhyp(0:nmax2),beta,Ytprim(0:nmax2),fxm(0:nmax2) |
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56 | SAVE Ytprim, yt,Yf |
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57 | REAL(KIND=8) Yf(0:nmax2),yypr(0:nmax2) |
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58 | REAL(KIND=8) yvrai(jjp1), yprimm(jjp1),ylatt(jjp1) |
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59 | REAL(KIND=8) pi,depi,pis2,epsilon,y0,pisjm |
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60 | REAL(KIND=8) yo1,yi,ylon2,ymoy,Yprimin,champmin,champmax |
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61 | REAL(KIND=8) yfi,Yf1,ffdy |
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62 | REAL(KIND=8) ypn,deply,y00 |
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63 | SAVE y00, deply |
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64 | |
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65 | INTEGER i,j,it,ik,iter,jlat |
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66 | INTEGER jpn,jjpn |
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67 | SAVE jpn |
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68 | REAL(KIND=8) a0,a1,a2,a3,yi2,heavyy0,heavyy0m |
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69 | REAL(KIND=8) fa(0:nmax2),fb(0:nmax2) |
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70 | REAL y0min,y0max |
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71 | |
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72 | REAL(KIND=8) heavyside |
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73 | |
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74 | pi = 2. * ASIN(1.) |
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75 | depi = 2. * pi |
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76 | pis2 = pi/2. |
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77 | pisjm = pi/ REAL(jjm) |
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78 | epsilon = 1.e-3 |
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79 | y0 = yzoomdeg * pi/180. |
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80 | |
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81 | IF( dzooma.LT.1.) THEN |
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82 | dzoom = dzooma * pi |
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83 | ELSEIF( dzooma.LT. 12. ) THEN |
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84 | WRITE(6,*) ' Le param. dzoomy pour fyhyp est trop petit ! L aug |
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85 | ,menter et relancer ! ' |
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86 | STOP 1 |
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87 | ELSE |
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88 | dzoom = dzooma * pi/180. |
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89 | ENDIF |
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90 | |
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91 | WRITE(6,18) |
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92 | WRITE(6,*) ' yzoom( rad.),grossism,tau,dzoom (radians)' |
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93 | WRITE(6,24) y0,grossism,tau,dzoom |
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94 | |
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95 | DO i = 0, nmax2 |
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96 | yt(i) = - pis2 + REAL(i)* pi /nmax2 |
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97 | ENDDO |
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98 | |
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99 | heavyy0m = heavyside( -y0 ) |
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100 | heavyy0 = heavyside( y0 ) |
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101 | y0min = 2.*y0*heavyy0m - pis2 |
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102 | y0max = 2.*y0*heavyy0 + pis2 |
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103 | |
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104 | fa = 999.999 |
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105 | fb = 999.999 |
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106 | |
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107 | DO i = 0, nmax2 |
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108 | IF( yt(i).LT.y0 ) THEN |
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109 | fa (i) = tau* (yt(i)-y0+dzoom/2. ) |
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110 | fb(i) = (yt(i)-2.*y0*heavyy0m +pis2) * ( y0 - yt(i) ) |
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111 | ELSEIF ( yt(i).GT.y0 ) THEN |
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112 | fa(i) = tau *(y0-yt(i)+dzoom/2. ) |
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113 | fb(i) = (2.*y0*heavyy0 -yt(i)+pis2) * ( yt(i) - y0 ) |
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114 | ENDIF |
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115 | |
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116 | IF( 200.* fb(i) .LT. - fa(i) ) THEN |
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117 | fhyp ( i) = - 1. |
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118 | ELSEIF( 200. * fb(i) .LT. fa(i) ) THEN |
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119 | fhyp ( i) = 1. |
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120 | ELSE |
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121 | fhyp(i) = TANH ( fa(i)/fb(i) ) |
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122 | ENDIF |
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123 | |
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124 | IF( yt(i).EQ.y0 ) fhyp(i) = 1. |
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125 | IF(yt(i).EQ. y0min. OR.yt(i).EQ. y0max ) fhyp(i) = -1. |
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126 | |
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127 | ENDDO |
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128 | |
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129 | cc .... Calcul de beta .... |
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130 | c |
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131 | ffdy = 0. |
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132 | |
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133 | DO i = 1, nmax2 |
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134 | ymoy = 0.5 * ( yt(i-1) + yt( i ) ) |
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135 | IF( ymoy.LT.y0 ) THEN |
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136 | fa(i)= tau * ( ymoy-y0+dzoom/2.) |
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137 | fb(i) = (ymoy-2.*y0*heavyy0m +pis2) * ( y0 - ymoy ) |
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138 | ELSEIF ( ymoy.GT.y0 ) THEN |
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139 | fa(i)= tau * ( y0-ymoy+dzoom/2. ) |
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140 | fb(i) = (2.*y0*heavyy0 -ymoy+pis2) * ( ymoy - y0 ) |
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141 | ENDIF |
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142 | |
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143 | IF( 200.* fb(i) .LT. - fa(i) ) THEN |
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144 | fxm ( i) = - 1. |
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145 | ELSEIF( 200. * fb(i) .LT. fa(i) ) THEN |
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146 | fxm ( i) = 1. |
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147 | ELSE |
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148 | fxm(i) = TANH ( fa(i)/fb(i) ) |
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149 | ENDIF |
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150 | IF( ymoy.EQ.y0 ) fxm(i) = 1. |
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151 | IF (ymoy.EQ. y0min. OR.yt(i).EQ. y0max ) fxm(i) = -1. |
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152 | ffdy = ffdy + fxm(i) * ( yt(i) - yt(i-1) ) |
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153 | |
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154 | ENDDO |
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155 | |
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156 | beta = ( grossism * ffdy - pi ) / ( ffdy - pi ) |
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157 | |
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158 | IF( 2.*beta - grossism.LE. 0.) THEN |
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159 | |
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160 | WRITE(6,*) ' ** Attention ! La valeur beta calculee dans la rou |
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161 | ,tine fyhyp est mauvaise ! ' |
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162 | WRITE(6,*)'Modifier les valeurs de grossismy ,tauy ou dzoomy', |
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163 | , ' et relancer ! *** ' |
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164 | CALL ABORT |
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165 | |
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166 | ENDIF |
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167 | c |
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168 | c ..... calcul de Ytprim ..... |
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169 | c |
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170 | |
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171 | DO i = 0, nmax2 |
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172 | Ytprim(i) = beta + ( grossism - beta ) * fhyp(i) |
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173 | ENDDO |
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174 | |
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175 | c ..... Calcul de Yf ........ |
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176 | |
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177 | Yf(0) = - pis2 |
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178 | DO i = 1, nmax2 |
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179 | yypr(i) = beta + ( grossism - beta ) * fxm(i) |
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180 | ENDDO |
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181 | |
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182 | DO i=1,nmax2 |
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183 | Yf(i) = Yf(i-1) + yypr(i) * ( yt(i) - yt(i-1) ) |
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184 | ENDDO |
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185 | |
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186 | c **************************************************************** |
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187 | c |
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188 | c ..... yuv = 0. si calcul des latitudes aux pts. U ..... |
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189 | c ..... yuv = 0.5 si calcul des latitudes aux pts. V ..... |
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190 | c |
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191 | WRITE(6,18) |
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192 | c |
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193 | DO 5000 ik = 1,4 |
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194 | |
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195 | IF( ik.EQ.1 ) THEN |
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196 | yuv = 0. |
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197 | jlat = jjm + 1 |
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198 | ELSE IF ( ik.EQ.2 ) THEN |
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199 | yuv = 0.5 |
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200 | jlat = jjm |
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201 | ELSE IF ( ik.EQ.3 ) THEN |
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202 | yuv = 0.25 |
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203 | jlat = jjm |
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204 | ELSE IF ( ik.EQ.4 ) THEN |
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205 | yuv = 0.75 |
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206 | jlat = jjm |
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207 | ENDIF |
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208 | c |
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209 | yo1 = 0. |
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210 | DO 1500 j = 1,jlat |
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211 | yo1 = 0. |
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212 | ylon2 = - pis2 + pisjm * ( REAL(j) + yuv -1.) |
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213 | yfi = ylon2 |
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214 | c |
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215 | DO 250 it = nmax2,0,-1 |
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216 | IF( yfi.GE.Yf(it)) GO TO 350 |
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217 | 250 CONTINUE |
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218 | it = 0 |
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219 | 350 CONTINUE |
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220 | |
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221 | yi = yt(it) |
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222 | IF(it.EQ.nmax2) THEN |
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223 | it = nmax2 -1 |
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224 | Yf(it+1) = pis2 |
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225 | ENDIF |
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226 | c ................................................................. |
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227 | c .... Interpolation entre yi(it) et yi(it+1) pour avoir Y(yi) |
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228 | c ..... et Y'(yi) ..... |
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229 | c ................................................................. |
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230 | |
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231 | CALL coefpoly ( Yf(it),Yf(it+1),Ytprim(it), Ytprim(it+1), |
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232 | , yt(it),yt(it+1) , a0,a1,a2,a3 ) |
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233 | |
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234 | Yf1 = Yf(it) |
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235 | Yprimin = a1 + 2.* a2 * yi + 3.*a3 * yi *yi |
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236 | |
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237 | DO 500 iter = 1,300 |
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238 | yi = yi - ( Yf1 - yfi )/ Yprimin |
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239 | |
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240 | IF( ABS(yi-yo1).LE.epsilon) GO TO 550 |
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241 | yo1 = yi |
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242 | yi2 = yi * yi |
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243 | Yf1 = a0 + a1 * yi + a2 * yi2 + a3 * yi2 * yi |
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244 | Yprimin = a1 + 2.* a2 * yi + 3.* a3 * yi2 |
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245 | 500 CONTINUE |
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246 | WRITE(6,*) ' Pas de solution ***** ',j,ylon2,iter |
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247 | STOP 2 |
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248 | 550 CONTINUE |
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249 | c |
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250 | Yprimin = a1 + 2.* a2 * yi + 3.* a3 * yi* yi |
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251 | yprim(j) = pi / ( jjm * Yprimin ) |
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252 | yvrai(j) = yi |
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253 | |
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254 | 1500 CONTINUE |
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255 | |
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256 | DO j = 1, jlat -1 |
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257 | IF( yvrai(j+1). LT. yvrai(j) ) THEN |
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258 | WRITE(6,*) ' PBS. avec rlat(',j+1,') plus petit que rlat(',j, |
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259 | , ')' |
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260 | STOP 3 |
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261 | ENDIF |
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262 | ENDDO |
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263 | |
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264 | WRITE(6,*) 'Reorganisation des latitudes pour avoir entre - pi/2' |
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265 | , ,' et pi/2 ' |
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266 | c |
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267 | IF( ik.EQ.1 ) THEN |
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268 | ypn = pis2 |
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269 | DO j = jlat,1,-1 |
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270 | IF( yvrai(j).LE. ypn ) GO TO 1502 |
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271 | ENDDO |
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272 | 1502 CONTINUE |
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273 | |
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274 | jpn = j |
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275 | y00 = yvrai(jpn) |
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276 | deply = pis2 - y00 |
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277 | ENDIF |
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278 | |
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279 | DO j = 1, jjm +1 - jpn |
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280 | ylatt (j) = -pis2 - y00 + yvrai(jpn+j-1) |
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281 | yprimm(j) = yprim(jpn+j-1) |
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282 | ENDDO |
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283 | |
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284 | jjpn = jpn |
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285 | IF( jlat.EQ. jjm ) jjpn = jpn -1 |
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286 | |
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287 | DO j = 1,jjpn |
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288 | ylatt (j + jjm+1 -jpn) = yvrai(j) + deply |
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289 | yprimm(j + jjm+1 -jpn) = yprim(j) |
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290 | ENDDO |
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291 | |
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292 | c *********** Fin de la reorganisation ************* |
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293 | c |
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294 | 1600 CONTINUE |
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295 | |
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296 | DO j = 1, jlat |
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297 | ylat(j) = ylatt( jlat +1 -j ) |
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298 | yprim(j) = yprimm( jlat +1 -j ) |
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299 | ENDDO |
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300 | |
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301 | DO j = 1, jlat |
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302 | yvrai(j) = ylat(j)*180./pi |
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303 | ENDDO |
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304 | |
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305 | IF( ik.EQ.1 ) THEN |
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306 | c WRITE(6,18) |
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307 | c WRITE(6,*) ' YLAT en U apres ( en deg. ) ' |
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308 | c WRITE(6,68) (yvrai(j),j=1,jlat) |
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309 | cc WRITE(6,*) ' YPRIM ' |
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310 | cc WRITE(6,445) ( yprim(j),j=1,jlat) |
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311 | |
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312 | DO j = 1, jlat |
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313 | rrlatu(j) = ylat( j ) |
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314 | yyprimu(j) = yprim( j ) |
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315 | ENDDO |
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316 | |
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317 | ELSE IF ( ik.EQ. 2 ) THEN |
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318 | c WRITE(6,18) |
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319 | c WRITE(6,*) ' YLAT en V apres ( en deg. ) ' |
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320 | c WRITE(6,68) (yvrai(j),j=1,jlat) |
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321 | cc WRITE(6,*)' YPRIM ' |
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322 | cc WRITE(6,445) ( yprim(j),j=1,jlat) |
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323 | |
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324 | DO j = 1, jlat |
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325 | rrlatv(j) = ylat( j ) |
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326 | yyprimv(j) = yprim( j ) |
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327 | ENDDO |
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328 | |
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329 | ELSE IF ( ik.EQ. 3 ) THEN |
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330 | c WRITE(6,18) |
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331 | c WRITE(6,*) ' YLAT en U + 0.75 apres ( en deg. ) ' |
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332 | c WRITE(6,68) (yvrai(j),j=1,jlat) |
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333 | cc WRITE(6,*) ' YPRIM ' |
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334 | cc WRITE(6,445) ( yprim(j),j=1,jlat) |
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335 | |
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336 | DO j = 1, jlat |
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337 | rlatu2(j) = ylat( j ) |
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338 | yprimu2(j) = yprim( j ) |
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339 | ENDDO |
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340 | |
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341 | ELSE IF ( ik.EQ. 4 ) THEN |
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342 | c WRITE(6,18) |
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343 | c WRITE(6,*) ' YLAT en U + 0.25 apres ( en deg. ) ' |
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344 | c WRITE(6,68)(yvrai(j),j=1,jlat) |
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345 | cc WRITE(6,*) ' YPRIM ' |
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346 | cc WRITE(6,68) ( yprim(j),j=1,jlat) |
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347 | |
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348 | DO j = 1, jlat |
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349 | rlatu1(j) = ylat( j ) |
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350 | yprimu1(j) = yprim( j ) |
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351 | ENDDO |
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352 | |
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353 | ENDIF |
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354 | |
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355 | 5000 CONTINUE |
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356 | c |
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357 | WRITE(6,18) |
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358 | c |
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359 | c ..... fin de la boucle do 5000 ..... |
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360 | |
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361 | DO j = 1, jjm |
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362 | ylat(j) = rrlatu(j) - rrlatu(j+1) |
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363 | ENDDO |
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364 | champmin = 1.e12 |
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365 | champmax = -1.e12 |
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366 | DO j = 1, jjm |
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367 | champmin = MIN( champmin, ylat(j) ) |
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368 | champmax = MAX( champmax, ylat(j) ) |
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369 | ENDDO |
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370 | champmin = champmin * 180./pi |
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371 | champmax = champmax * 180./pi |
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372 | |
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373 | 24 FORMAT(2x,'Parametres yzoom,gross,tau ,dzoom pour fyhyp ',4f8.3) |
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374 | 18 FORMAT(/) |
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375 | 68 FORMAT(1x,7f9.2) |
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376 | |
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377 | RETURN |
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378 | END |
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