[2] | 1 | ;------------------------------------------------------------ |
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| 2 | ;------------------------------------------------------------ |
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| 3 | ;------------------------------------------------------------ |
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| 4 | ;+ |
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| 5 | ; NAME:div |
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| 6 | ; |
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| 7 | ; PURPOSE:calcule la divergence d'un champ 2D |
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| 8 | ; |
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| 9 | ; CATEGORY:calcule sur les matrices |
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| 10 | ; |
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| 11 | ; CALLING SEQUENCE:res=div(u,v) |
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| 12 | ; |
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| 13 | ; INPUTS: |
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| 14 | ; u et v deux matrices representant les coordonnes d''un |
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| 15 | ; champ de vecteur |
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| 16 | ; |
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| 17 | ; KEYWORD PARAMETERS: |
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| 18 | ; |
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| 19 | ; OUTPUTS:res: une matrice 2d |
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| 20 | ; |
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| 21 | ; COMMON BLOCKS: |
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| 22 | ; common.pro |
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| 23 | ; |
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| 24 | ; SIDE EFFECTS: |
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| 25 | ; |
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| 26 | ; RESTRICTIONS: |
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| 27 | ; les matrices u et v peuvent de 2 a 4 dimensions. |
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| 28 | ; attention pour distinger les differents configurations de u et v |
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| 29 | ; (xy, xyz, xyt, xyzt), on regarde la variable du common |
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| 30 | ; -time qui contient le calendrier en jour julien d''IDL auquel |
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| 31 | ; se rapportent u et v ansi que la variable |
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| 32 | ; -jpt qui est le nombre de pas de temps a considerer ds time. |
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| 33 | ; les tableaux u et v sont decoupes sur le meme domaine |
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| 34 | ; geographique. A cause du decalage des grilles T, U, V et F il est |
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| 35 | ; possiible que ces 2 tableaux n''aient pas la meme taille et se |
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| 36 | ; repportent a des indices differents. Si tel est le cas les tableaux |
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| 37 | ; sont redecoupes sur les indices qu'ils ont en commun et le dommaine |
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| 38 | ; est redefinit pour qu'il colle a ces indices communs. |
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| 39 | ; pour eviter ces redecoupes utiliser le mot cles /memeindice ds |
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| 40 | ; domdef.pro |
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| 41 | ; |
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| 42 | ; les points sur le bord du dessin sont mis a !values.f_nan |
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| 43 | ; |
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| 44 | ; EXAMPLE: |
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| 45 | ; |
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| 46 | ; MODIFICATION HISTORY:Guillaume Roullet (grlod@ipsl.jussieu.fr) |
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| 47 | ; Creation : printemps 1998 |
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| 48 | ; Sebastien Masson (smasson@lodyc.jussieu.fr) |
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| 49 | ; adaptation pour marcher avec un domaine reduit |
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| 50 | ; 12/1/2000 |
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| 51 | ;- |
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| 52 | ;------------------------------------------------------------ |
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| 53 | ;------------------------------------------------------------ |
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| 54 | ;------------------------------------------------------------ |
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| 55 | FUNCTION div, uu, vv |
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[114] | 56 | ; |
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| 57 | compile_opt idl2, strictarrsubs |
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| 58 | ; |
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[2] | 59 | tempsun = systime(1) ; pour key_performance |
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| 60 | @common |
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[25] | 61 | ; |
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| 62 | IF finite(glamu[0])*finite(gphiu[0])*finite(glamv[0])*finite(gphiv[0]) EQ 0 THEN $ |
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| 63 | return, report(['This version of div is based on Arakawa C-grid.' $ |
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| 64 | , 'U and V grids must therefore be defined']) |
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| 65 | ; |
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| 66 | u = litchamp(uu) |
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| 67 | v = litchamp(vv) |
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| 68 | ; |
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[2] | 69 | date1 = time[0] |
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| 70 | if n_elements(jpt) EQ 0 then date2 = date1 ELSE date2 = time[jpt-1] |
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| 71 | if (size(u))[0] NE (size(v))[0] then return, -1 |
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| 72 | |
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| 73 | ;------------------------------------------------------------ |
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| 74 | ; on trouve les points que u et v ont en communs |
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| 75 | ;------------------------------------------------------------ |
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[25] | 76 | indicexu = (lindgen(jpi))[firstxu:firstxu+nxu-1] |
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| 77 | indicexv = (lindgen(jpi))[firstxv:firstxv+nxv-1] |
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[2] | 78 | indicex = inter(indicexu, indicexv) |
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[25] | 79 | indiceyu = (lindgen(jpj))[firstyu:firstyu+nyu-1] |
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| 80 | indiceyv = (lindgen(jpj))[firstyv:firstyv+nyv-1] |
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[2] | 81 | indicey = inter(indiceyu, indiceyv) |
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| 82 | nx = n_elements(indicex) |
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| 83 | ny = n_elements(indicey) |
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| 84 | indice2d = lindgen(jpi, jpj) |
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| 85 | indice2d = indice2d[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1] |
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| 86 | case 1 of |
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| 87 | ;---------------------------------------------------------------------------- |
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| 88 | ;---------------------------------------------------------------------------- |
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| 89 | ;xyz |
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| 90 | ;---------------------------------------------------------------------------- |
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| 91 | (size(u))[0] EQ 3 AND date1 EQ date2 :BEGIN |
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| 92 | ;------------------------------------------------------------ |
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| 93 | ; extraction de u et v sur le domaine qui convient |
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| 94 | ;------------------------------------------------------------ |
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| 95 | case 1 of |
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[25] | 96 | (size(v))[0] NE 3: return, -1 |
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[2] | 97 | (size(u))[1] EQ nxu AND (size(u))[2] EQ nyu AND $ |
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| 98 | (size(v))[1] EQ nxv AND (size(v))[2] EQ nyv:BEGIN |
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| 99 | case 1 of |
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[25] | 100 | nxu NE nx:if indicex[0] EQ firstxu then u = u[0:nx-1, *, *] ELSE u = u[1: nx, *, *] |
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| 101 | nxv NE nx:if indicex[0] EQ firstxv then v = v[0:nx-1, *, *] ELSE v = v[1: nx, *, *] |
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| 102 | nyu NE ny:if indicey[0] EQ firstyu then u = u[*, 0:ny-1, *] ELSE u = u[*, 1: ny, *] |
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| 103 | nyv NE ny:if indicey[0] EQ firstyv then v = v[*, 0:ny-1, *] ELSE v = v[*, 1: ny, *] |
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[2] | 104 | ELSE : |
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| 105 | endcase |
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| 106 | END |
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| 107 | (size(u))[1] EQ jpi AND (size(u))[2] EQ jpj AND $ |
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| 108 | (size(v))[1] EQ jpi AND (size(v))[2] EQ jpj:BEGIN |
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| 109 | u = u[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1, *] |
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| 110 | v = v[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1, *] |
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| 111 | END |
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| 112 | ELSE:BEGIN |
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| 113 | zdiv = -1 |
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| 114 | GOTO, sortie |
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| 115 | end |
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| 116 | |
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| 117 | endcase |
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| 118 | ;------------------------------------------------------------ |
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| 119 | ; calcul de la divergence |
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| 120 | ;------------------------------------------------------------ |
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| 121 | zu = (e2u[indice2d])[*]#replicate(1, nzt) |
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| 122 | zu = reform(zu, nx, ny, nzt, /over) |
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| 123 | zu = temporary(u)*temporary(zu) $ |
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[25] | 124 | *(umask())[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1, firstzt:lastzt] |
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[2] | 125 | terreu = where(zu EQ 0) |
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| 126 | if terreu[0] NE -1 then zu[temporary(terreu)] = !values.f_nan |
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| 127 | ; |
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| 128 | zv = (e1v[indice2d])[*]#replicate(1, nzt) |
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| 129 | zv = reform(zv, nx, ny, nzt, /over) |
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| 130 | zv = temporary(v)*temporary(zv) $ |
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[25] | 131 | *(vmask())[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1, firstzt:lastzt] |
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[2] | 132 | terrev = where(zv EQ 0) |
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| 133 | if terrev[0] NE -1 then zv[temporary(terrev)] = !values.f_nan |
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| 134 | ; |
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| 135 | zdiv = 1e6/(e1t[indice2d]*e2t[indice2d]) |
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| 136 | zdiv = (zdiv)[*]#replicate(1, nzt) |
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| 137 | zdiv = reform(zdiv, nx, ny, nzt, /over) |
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| 138 | zdiv = temporary(zdiv)*(zu-shift(zu, 1, 0, 0)+zv-shift(zv, 0, 1, 0)) $ |
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[25] | 139 | *tmask[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1, firstzt:lastzt] |
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[2] | 140 | ;------------------------------------------------------------ |
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| 141 | ; mise a !values.f_nan de la bordure |
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| 142 | ;------------------------------------------------------------ |
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[25] | 143 | if NOT keyword_set(key_periodic) OR nx NE jpi then begin |
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[114] | 144 | zdiv[0, *, *] = !values.f_nan |
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| 145 | zdiv[nx-1, *, *] = !values.f_nan |
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[2] | 146 | endif |
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[114] | 147 | zdiv[*, 0, *] = !values.f_nan |
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| 148 | zdiv[*, ny-1, *] = !values.f_nan |
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[2] | 149 | ; |
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| 150 | zdiv = temporary(zdiv) |
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| 151 | ; |
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| 152 | if n_elements(valmask) EQ 0 THEN valmask = 1e20 |
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[25] | 153 | terre = where(tmask[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1, firstzt:lastzt] EQ 0) |
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[2] | 154 | if terre[0] NE -1 then zdiv[temporary(terre)] = valmask |
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| 155 | ;------------------------------------------------------------ |
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| 156 | ; pour le trace graphique |
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| 157 | ;------------------------------------------------------------ |
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| 158 | vargrid = 'T' |
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| 159 | varname = 'div' |
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| 160 | varunits = '1e6*s-1' |
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[25] | 161 | domdef, (glamt[indice2d])[0, 0], (glamu[indice2d])[nx-1, 0],(gphit[indice2d])[0, 0], (gphiv[indice2d])[0, ny-1], vert1, vert2, gridtype = ['t'] |
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| 162 | if keyword_set(direc) then zdiv = moyenne(zdiv,direc,/nan) |
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[2] | 163 | END |
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| 164 | ;---------------------------------------------------------------------------- |
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| 165 | ;---------------------------------------------------------------------------- |
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| 166 | ;xyt |
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| 167 | ;---------------------------------------------------------------------------- |
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| 168 | ;---------------------------------------------------------------------------- |
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| 169 | date1 NE date2 AND (size(u))[0] EQ 3 :BEGIN |
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| 170 | ;------------------------------------------------------------ |
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| 171 | ; extraction de u et v sur le domaine qui convient |
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| 172 | ;------------------------------------------------------------ |
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| 173 | case 1 of |
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| 174 | (size(u))[0] NE 3 OR (size(v))[0] NE 3: return, -1 |
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| 175 | (size(u))[1] EQ nxu AND (size(u))[2] EQ nyu AND $ |
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| 176 | (size(v))[1] EQ nxv AND (size(v))[2] EQ nyv:BEGIN |
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| 177 | case 1 of |
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[25] | 178 | nxu NE nx:if indicex[0] EQ firstxu then u = u[0:nx-1, *, *] ELSE u = u[1: nx, *, *] |
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| 179 | nxv NE nx:if indicex[0] EQ firstxv then v = v[0:nx-1, *, *] ELSE v = v[1: nx, *, *] |
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| 180 | nyu NE ny:if indicey[0] EQ firstyu then u = u[*, 0:ny-1, *] ELSE u = u[*, 1: ny, *] |
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| 181 | nyv NE ny:if indicey[0] EQ firstyv then v = v[*, 0:ny-1, *] ELSE v = v[*, 1: ny, *] |
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[2] | 182 | ELSE : |
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| 183 | endcase |
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| 184 | END |
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| 185 | (size(u))[1] EQ jpi AND (size(u))[2] EQ jpj AND $ |
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| 186 | (size(v))[1] EQ jpi AND (size(v))[2] EQ jpj:BEGIN |
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| 187 | u = u[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1, *] |
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| 188 | v = v[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1, *] |
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| 189 | END |
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| 190 | ELSE:return, -1 |
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| 191 | endcase |
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| 192 | ;------------------------------------------------------------ |
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| 193 | ; calcul de la divergence |
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| 194 | ;------------------------------------------------------------ |
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[25] | 195 | zu = e2u[indice2d]*(umask())[indice2d+jpi*jpj*firstzt] |
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[2] | 196 | terreu = where(zu EQ 0) |
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| 197 | if terreu[0] NE -1 then zu[temporary(terreu)] = !values.f_nan |
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| 198 | zu = (zu)[*]#replicate(1, jpt) |
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| 199 | zu = reform(zu, nx, ny, jpt, /over) |
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| 200 | zu = temporary(u)*temporary(zu) |
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| 201 | ; |
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[25] | 202 | zv = e1v[indice2d]*(vmask())[indice2d+jpi*jpj*firstzt] |
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[2] | 203 | terrev = where(zv EQ 0) |
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| 204 | if terrev[0] NE -1 then zv[temporary(terrev)] = !values.f_nan |
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| 205 | zv = (zv)[*]#replicate(1, jpt) |
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| 206 | zv = reform(zv, nx, ny, jpt, /over) |
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| 207 | zv = temporary(v)*temporary(zv) |
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| 208 | ; |
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[25] | 209 | zdiv = 1e6*tmask[indice2d+jpi*jpj*firstzt]/(e1t[indice2d]*e2t[indice2d]) |
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[2] | 210 | zdiv = (zdiv)[*]#replicate(1, jpt) |
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| 211 | zdiv = reform(zdiv, nx, ny, jpt, /over) |
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| 212 | terre = where(zdiv EQ 0) |
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| 213 | zdiv = temporary(zdiv)*(zu-shift(zu, 1, 0, 0)+zv-shift(zv, 0, 1, 0)) |
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| 214 | ;------------------------------------------------------------ |
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| 215 | ; mise a !values.f_nan de la bordure |
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| 216 | ;------------------------------------------------------------ |
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[25] | 217 | if NOT keyword_set(key_periodic) OR nx NE jpi then begin |
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[114] | 218 | zdiv[0, *, *] = !values.f_nan |
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| 219 | zdiv[nx-1, *, *] = !values.f_nan |
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[2] | 220 | endif |
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[114] | 221 | zdiv[*, 0, *] = !values.f_nan |
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| 222 | zdiv[*, ny-1, *] = !values.f_nan |
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[2] | 223 | ; |
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| 224 | if n_elements(valmask) EQ 0 THEN valmask = 1e20 |
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| 225 | if terre[0] NE -1 then zdiv[temporary(terre)] = valmask |
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| 226 | ;------------------------------------------------------------ |
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| 227 | ; pour le trace graphique |
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| 228 | ;------------------------------------------------------------ |
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| 229 | vargrid = 'T' |
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| 230 | varname = 'div' |
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| 231 | varunits = '1e6*s-1' |
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[25] | 232 | domdef, (glamt[indice2d])[0, 0], (glamu[indice2d])[nx-1, 0],(gphit[indice2d])[0, 0], (gphiv[indice2d])[0, ny-1], vert1, vert2, gridtype = ['t'] |
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| 233 | if keyword_set(direc) then zdiv = grossemoyenne(zdiv,direc,/nan) |
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[2] | 234 | END |
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| 235 | ;---------------------------------------------------------------------------- |
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| 236 | ;---------------------------------------------------------------------------- |
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| 237 | ;xyzt |
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| 238 | ;---------------------------------------------------------------------------- |
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| 239 | ;---------------------------------------------------------------------------- |
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| 240 | date1 NE date2 AND (size(u))[0] EQ 4:BEGIN |
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| 241 | return, report('non code!') |
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| 242 | END |
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| 243 | ;---------------------------------------------------------------------------- |
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| 244 | ;---------------------------------------------------------------------------- |
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| 245 | ;xy |
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| 246 | ;---------------------------------------------------------------------------- |
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| 247 | ;---------------------------------------------------------------------------- |
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| 248 | ELSE:BEGIN ;xy |
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| 249 | indice3d = lindgen(jpi, jpj, jpk) |
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[25] | 250 | indice3d = indice3d[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1, firstzt] |
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[2] | 251 | ;------------------------------------------------------------ |
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| 252 | ; extraction de u et v sur le domaine qui convient |
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| 253 | ;------------------------------------------------------------ |
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| 254 | case 1 of |
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| 255 | (size(u))[0] NE 2 OR (size(v))[0] NE 2: BEGIN |
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| 256 | zdiv = -1 |
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| 257 | GOTO, sortie |
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| 258 | end |
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| 259 | (size(u))[1] EQ nxu AND (size(u))[2] EQ nyu AND $ |
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| 260 | (size(v))[1] EQ nxv AND (size(v))[2] EQ nyv:BEGIN |
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| 261 | case 1 of |
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[25] | 262 | nxu NE nx:if indicex[0] EQ firstxu then u = u[0:nx-1, *] ELSE u = u[1: nx, *] |
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| 263 | nxv NE nx:if indicex[0] EQ firstxv then v = v[0:nx-1, *] ELSE v = v[1: nx, *] |
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| 264 | nyu NE ny:if indicey[0] EQ firstyu then u = u[*, 0:ny-1] ELSE u = u[*, 1: ny] |
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| 265 | nyv NE ny:if indicey[0] EQ firstyv then v = v[*, 0:ny-1] ELSE v = v[*, 1: ny] |
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[2] | 266 | ELSE : |
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| 267 | endcase |
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| 268 | END |
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| 269 | (size(u))[1] EQ jpi AND (size(u))[2] EQ jpj AND $ |
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| 270 | (size(v))[1] EQ jpi AND (size(v))[2] EQ jpj:BEGIN |
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| 271 | u = u[indice2d] |
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| 272 | v = v[indice2d] |
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| 273 | END |
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| 274 | ELSE:return, -1 |
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| 275 | endcase |
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| 276 | ;------------------------------------------------------------ |
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| 277 | ; calcul de la divergence |
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| 278 | ;------------------------------------------------------------ |
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| 279 | zu = temporary(u)*e2u[indice2d]*(umask())[indice3d] |
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| 280 | terreu = where(zu EQ 0) |
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| 281 | if terreu[0] NE -1 then zu[temporary(terreu)] = !values.f_nan |
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| 282 | zv = temporary(v)*e1v[indice2d]*(vmask())[indice3d] |
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| 283 | terrev = where(zv EQ 0) |
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| 284 | if terrev[0] NE -1 then zv[temporary(terrev)] = !values.f_nan |
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| 285 | zdiv = zu-shift(zu, 1, 0)+zv-shift(zv, 0, 1) |
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| 286 | zdiv = temporary(zdiv)*tmask[indice3d]/(e1t[indice2d]*e2t[indice2d]) |
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| 287 | ;------------------------------------------------------------ |
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| 288 | ; mise a !values.f_nan de la bordure |
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| 289 | ;------------------------------------------------------------ |
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[25] | 290 | if NOT keyword_set(key_periodic) OR nx NE jpi then begin |
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[114] | 291 | zdiv[0, *] = !values.f_nan |
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| 292 | zdiv[nx-1, *] = !values.f_nan |
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[2] | 293 | endif |
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[114] | 294 | zdiv[*, 0] = !values.f_nan |
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| 295 | zdiv[*, ny-1] = !values.f_nan |
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[2] | 296 | ; |
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| 297 | zdiv = temporary(zdiv)*1e6 |
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| 298 | ; |
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| 299 | if n_elements(valmask) EQ 0 THEN valmask = 1e20 |
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| 300 | terre = where(tmask[indice3d] EQ 0) |
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| 301 | if terre[0] NE -1 then zdiv[temporary(terre)] = valmask |
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| 302 | ;------------------------------------------------------------ |
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| 303 | ; pour le trace graphique |
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| 304 | ;------------------------------------------------------------ |
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| 305 | vargrid = 'T' |
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| 306 | varname = 'div' |
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| 307 | varunits = '1e6*s-1' |
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[25] | 308 | domdef, (glamt[indice2d])[0, 0], (glamu[indice2d])[nx-1, 0],(gphit[indice2d])[0, 0], (gphiv[indice2d])[0, ny-1], vert1, vert2, gridtype = ['t'] |
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| 309 | if keyword_set(direc) then zdiv = moyenne(zdiv,direc,/nan) |
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[2] | 310 | |
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| 311 | END |
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| 312 | endcase |
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| 313 | |
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| 314 | ;------------------------------------------------------------ |
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| 315 | sortie: |
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| 316 | if keyword_set(key_performance) THEN print, 'temps div', systime(1)-tempsun |
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| 317 | |
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| 318 | return, zdiv |
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| 319 | end |
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