[2] | 1 | ;------------------------------------------------------------ |
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| 2 | ;------------------------------------------------------------ |
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| 3 | ;------------------------------------------------------------ |
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| 4 | ;+ |
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| 5 | ; NAME:curl |
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| 6 | ; |
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| 7 | ; PURPOSE:calcule la composante verticale du rotationnel d''un champ |
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| 8 | ; de vecteur horizontaux |
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| 9 | ; |
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| 10 | ; CATEGORY:calcule sur les matrices |
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| 11 | ; |
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| 12 | ; CALLING SEQUENCE:res=curl(u,v) |
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| 13 | ; |
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| 14 | ; INPUTS: |
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| 15 | ; u et v deux matrices representant les coordonnes d''un |
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| 16 | ; champ de vecteur |
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| 17 | ; |
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| 18 | ; KEYWORD PARAMETERS: |
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| 19 | ; |
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| 20 | ; OUTPUTS:res: une matrice 2d |
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| 21 | ; |
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| 22 | ; COMMON BLOCKS: |
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| 23 | ; common.pro |
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| 24 | ; |
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| 25 | ; SIDE EFFECTS: |
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| 26 | ; |
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| 27 | ; RESTRICTIONS: |
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| 28 | ; les matrices u et v peuvent de 2 a 4 dimensions. |
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| 29 | ; attention pour distinger les differents configurations de u et v |
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| 30 | ; (xy, xyz, xyt, xyzt), on regarde la variable du common |
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| 31 | ; -time qui contient le calendrier en jour julien d''IDL auquel |
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| 32 | ; se rapportent u et v ansi que la variable |
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| 33 | ; -jpt qui est le nombre de pas de temps a considerer ds time. |
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| 34 | ; les tableaux u et v sont decoupes sur le meme domaine |
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| 35 | ; geographique. A cause du decalage des grilles T, U, V et F il est |
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| 36 | ; possiible que ces 2 tableaux n''aient pas la meme taille et se |
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| 37 | ; repportent a des indices differents. Si tel est le cas les tableaux |
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| 38 | ; sont redecoupes sur les indices qu'ils ont en commun et le dommaine |
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| 39 | ; est redefinit pour qu'il colle a ces indices communs. |
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| 40 | ; pour eviter ces redecoupes utiliser le mot cles /memeindice ds |
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| 41 | ; domdef.pro |
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| 42 | ; |
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| 43 | ; |
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| 44 | ; les points sur le bord du dessin sont mis a !values.f_nan |
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| 45 | ; |
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| 46 | ; EXAMPLE: |
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| 47 | ; |
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| 48 | ; MODIFICATION HISTORY:Guillaume Roullet (grlod@ipsl.jussieu.fr) |
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| 49 | ; |
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| 50 | ; Sebastien Masson (smasson@lodyc.jussieu.fr) |
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| 51 | ; adaptation pour marcher avec un domaine reduit |
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| 52 | ; |
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| 53 | ; 21/5/1999: valeurs manquantes a !values.f_nan |
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| 54 | ;periodicite |
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| 55 | ;- |
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| 56 | ;------------------------------------------------------------ |
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| 57 | ;------------------------------------------------------------ |
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| 58 | ;------------------------------------------------------------ |
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| 59 | FUNCTION curl, uu, vv |
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[114] | 60 | ; |
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| 61 | compile_opt idl2, strictarrsubs |
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| 62 | ; |
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[2] | 63 | @common |
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| 64 | tempsun = systime(1) ; pour key_performance |
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| 65 | ; |
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[25] | 66 | IF finite(glamu[0])*finite(gphiu[0])*finite(glamv[0])*finite(gphiv[0]) EQ 0 THEN $ |
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| 67 | return, report(['This version of curl is based on Arakawa C-grid.' $ |
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| 68 | , 'U and V grids must therefore be defined']) |
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| 69 | ; |
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[2] | 70 | u = litchamp(uu) |
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| 71 | v = litchamp(vv) |
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| 72 | |
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| 73 | date1 = time[0] |
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| 74 | if n_elements(jpt) EQ 0 then date2 = date1 ELSE date2 = time[jpt-1] |
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| 75 | if (size(u))[0] NE (size(v))[0] then return, -1 |
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| 76 | |
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| 77 | ;------------------------------------------------------------ |
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| 78 | ; on trouve les points que u et v ont en communs |
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| 79 | ;------------------------------------------------------------ |
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[25] | 80 | indicexu = (lindgen(jpi))[firstxu:firstxu+nxu-1] |
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| 81 | indicexv = (lindgen(jpi))[firstxv:firstxv+nxv-1] |
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[2] | 82 | indicex = inter(indicexu, indicexv) |
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[25] | 83 | indiceyu = (lindgen(jpj))[firstyu:firstyu+nyu-1] |
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| 84 | indiceyv = (lindgen(jpj))[firstyv:firstyv+nyv-1] |
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[2] | 85 | indicey = inter(indiceyu, indiceyv) |
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| 86 | nx = n_elements(indicex) |
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| 87 | ny = n_elements(indicey) |
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| 88 | case 1 of |
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| 89 | ;---------------------------------------------------------------------------- |
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| 90 | ;---------------------------------------------------------------------------- |
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| 91 | ;xyz |
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| 92 | ;---------------------------------------------------------------------------- |
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| 93 | (size(u))[0] EQ 3 AND date1 EQ date2 :BEGIN |
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| 94 | indice2d = lindgen(jpi, jpj) |
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| 95 | indice2d = indice2d[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1] |
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| 96 | ;------------------------------------------------------------ |
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| 97 | ; extraction de u et v sur le domaine qui convient |
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| 98 | ;------------------------------------------------------------ |
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| 99 | case 1 of |
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| 100 | (size(u))[0] NE 3 OR (size(v))[0] NE 3: return, -1 |
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| 101 | (size(u))[1] EQ nxu AND (size(u))[2] EQ nyu AND $ |
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| 102 | (size(v))[1] EQ nxv AND (size(v))[2] EQ nyv:BEGIN |
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| 103 | case 1 of |
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[25] | 104 | nxu NE nx:if indicex[0] EQ firstxu then u = u[0:nx-1, *, *] ELSE u = u[1: nx, *, *] |
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| 105 | nxv NE nx:if indicex[0] EQ firstxv then v = v[0:nx-1, *, *] ELSE v = v[1: nx, *, *] |
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| 106 | nyu NE ny:if indicey[0] EQ firstyu then u = u[*, 0:ny-1, *] ELSE u = u[*, 1: ny, *] |
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| 107 | nyv NE ny:if indicey[0] EQ firstyv then v = v[*, 0:ny-1, *] ELSE v = v[*, 1: ny, *] |
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[2] | 108 | ELSE : |
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| 109 | endcase |
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| 110 | END |
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| 111 | (size(u))[1] EQ jpi AND (size(u))[2] EQ jpj AND $ |
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| 112 | (size(v))[1] EQ jpi AND (size(v))[2] EQ jpj:BEGIN |
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| 113 | u = u[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1, *] |
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| 114 | v = v[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1, *] |
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| 115 | END |
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| 116 | ELSE:return, -1 |
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| 117 | endcase |
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| 118 | ;------------------------------------------------------------ |
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| 119 | ; calcul du rotationnel |
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| 120 | ;------------------------------------------------------------ |
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| 121 | coefu = (e1u[indice2d])[*]#replicate(1, nzt) |
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| 122 | coefu = reform(coefu, nx, ny, nzt, /over) |
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[25] | 123 | coefu = coefu*(umask())[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1, firstzt:lastzt] |
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[2] | 124 | terreu = where(coefu EQ 0) |
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| 125 | if terreu[0] NE -1 then coefu[temporary(terreu)] = !values.f_nan |
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| 126 | |
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| 127 | coefv = (e2v[indice2d])[*]#replicate(1, nzt) |
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| 128 | coefv = reform(coefv, nx, ny, nzt, /over) |
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[25] | 129 | coefv = coefv*(vmask())[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1, firstzt:lastzt] |
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[2] | 130 | terrev = where(coefv EQ 0) |
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| 131 | if terrev[0] NE -1 then coefv[temporary(terrev)] = !values.f_nan |
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| 132 | |
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[25] | 133 | tabf = (fmask())[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1, firstzt:lastzt] |
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[2] | 134 | div = (e1f[indice2d]*e2f[indice2d])[*]#replicate(1, nzt) |
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| 135 | div = reform(div, nx, ny, nzt, /over) |
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| 136 | tabf = tabf/div |
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| 137 | ; |
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| 138 | zu = u*temporary(coefu) |
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| 139 | zv = v*temporary(coefv) |
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| 140 | |
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| 141 | psi = (shift(zv, -1, 0, 0)-zv) + (zu-shift(zu, 0, -1, 0)) |
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| 142 | psi = tabf*psi |
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| 143 | ;------------------------------------------------------------ |
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| 144 | ; mise a !values.f_nan de la bordure |
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| 145 | ;------------------------------------------------------------ |
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[25] | 146 | if NOT keyword_set(key_periodic) OR nx NE jpi then begin |
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[114] | 147 | psi[0, *, *] = !values.f_nan |
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| 148 | psi[nx-1, *, *] = !values.f_nan |
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[2] | 149 | endif |
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[114] | 150 | psi[*, 0, *] = !values.f_nan |
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| 151 | psi[*, ny-1, *] = !values.f_nan |
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[2] | 152 | ; |
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| 153 | if n_elements(valmask) EQ 0 THEN valmask = 1e20 |
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| 154 | terref = where(tabf EQ 0) |
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| 155 | if terref[0] NE -1 then psi[temporary(terref)] = valmask |
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| 156 | ;------------------------------------------------------------ |
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| 157 | ; pour le trace graphique |
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| 158 | ;------------------------------------------------------------ |
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[25] | 159 | domdef, (glagmt[indice2d])[0, 0], (glamu[indice2d])[nx-1, 0],(gphit[indice2d])[0, 0], (gphiv[indice2d])[0, ny-1], vert1, vert2, gridtype = ['t', 'f'] |
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| 160 | if keyword_set(direc) then psi = moyenne(psi,direc,/nan) |
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[2] | 161 | |
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| 162 | ;---------------------------------------------------------------------------- |
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| 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 | indice2d = lindgen(jpi, jpj) |
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| 171 | indice2d = indice2d[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1] |
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| 172 | ;------------------------------------------------------------ |
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| 173 | ; extraction de u et v sur le domaine qui convient |
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| 174 | ;------------------------------------------------------------ |
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| 175 | case 1 of |
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| 176 | (size(u))[1] EQ nxu AND (size(u))[2] EQ nyu AND $ |
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| 177 | (size(v))[1] EQ nxv AND (size(v))[2] EQ nyv:BEGIN |
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| 178 | if nxu NE nx then $ |
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[25] | 179 | if indicex[0] EQ firstxu then u = u[0:nx-1, *, *] ELSE u = u[1: nx, *, *] |
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[2] | 180 | IF nxv NE nx THEN $ |
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[25] | 181 | if indicex[0] EQ firstxv then v = v[0:nx-1, *, *] ELSE v = v[1: nx, *, *] |
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[2] | 182 | IF nyu NE ny THEN $ |
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[25] | 183 | if indicey[0] EQ firstyu then u = u[*, 0:ny-1, *] ELSE u = u[*, 1: ny, *] |
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[2] | 184 | IF nyv NE ny THEN $ |
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[25] | 185 | if indicey[0] EQ firstyv then v = v[*, 0:ny-1, *] ELSE v = v[*, 1: ny, *] |
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[2] | 186 | END |
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| 187 | (size(u))[1] EQ jpi AND (size(u))[2] EQ jpj AND $ |
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| 188 | (size(v))[1] EQ jpi AND (size(v))[2] EQ jpj:BEGIN |
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| 189 | u = u[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1, *] |
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| 190 | v = v[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1, *] |
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| 191 | END |
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| 192 | ELSE:BEGIN |
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| 193 | print, 'problemes d''adequation entre la taille du domaine et la taille des matrices necessaires a tracer des vecteurs' |
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| 194 | return, -1 |
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| 195 | end |
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| 196 | endcase |
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| 197 | ;---------------------------------------------------------------------------- |
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| 198 | ; calcul du rotationnel |
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| 199 | ;---------------------------------------------------------------------------- |
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[25] | 200 | coefu = e1u[indice2d]*(umask())[indice2d+jpi*jpj*firstzt] |
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[2] | 201 | terreu = where(coefu EQ 0) |
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| 202 | if terreu[0] NE -1 then coefu[temporary(terreu)] = !values.f_nan |
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| 203 | coefu = temporary(coefu[*])#replicate(1, jpt) |
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| 204 | coefu = reform(coefu, nx, ny, jpt, /over) |
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| 205 | ; |
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[25] | 206 | coefv = e2v[indice2d]*(vmask())[indice2d+jpi*jpj*firstzt] |
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[2] | 207 | terrev = where(coefv EQ 0) |
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| 208 | if terrev[0] NE -1 then coefv[temporary(terrev)] = !values.f_nan |
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| 209 | coefv = temporary(coefv[*])#replicate(1, jpt) |
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| 210 | coefv = reform(coefv, nx, ny, jpt, /over) |
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| 211 | ; |
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[25] | 212 | tabf = (fmask())[indice2d+jpi*jpj*firstzt]/(e1f[indice2d]*e2f[indice2d]) |
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[2] | 213 | tabf = temporary(tabf[*])#replicate(1, jpt) |
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| 214 | tabf = reform(tabf, nx, ny, jpt, /over) |
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| 215 | ;------------------------------------------------------------ |
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| 216 | ; calcul du rotationnel |
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| 217 | ;------------------------------------------------------------ |
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| 218 | zu = u*temporary(coefu) |
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| 219 | zv = v*temporary(coefv) |
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| 220 | ; |
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| 221 | psi = (shift(zv, -1, 0, 0)-zv) + (zu-shift(zu, 0, -1, 0)) |
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| 222 | psi = tabf*psi |
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| 223 | ;------------------------------------------------------------ |
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| 224 | ; mise a !values.f_nan de la bordure |
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| 225 | ;------------------------------------------------------------ |
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[25] | 226 | if NOT keyword_set(key_periodic) OR nx NE jpi then begin |
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[114] | 227 | psi[0, *, *] = !values.f_nan |
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| 228 | psi[nx-1, *, *] = !values.f_nan |
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[2] | 229 | endif |
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[114] | 230 | psi[*, 0, *] = !values.f_nan |
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| 231 | psi[*, ny-1, *] = !values.f_nan |
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[2] | 232 | if n_elements(valmask) EQ 0 THEN valmask = 1e20 |
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| 233 | terref = where(tabf EQ 0) |
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| 234 | if terref[0] NE -1 then psi[temporary(terref)] = valmask |
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| 235 | ;---------------------------------------------------------------------------- |
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[25] | 236 | domdef, (glamt[indice2d])[0, 0], (glamu[indice2d])[nx-1, 0],(gphit[indice2d])[0, 0], (gphiv[indice2d])[0, ny-1], vert1, vert2, gridtype = ['t', 'f'] |
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| 237 | if keyword_set(direc) then psi = grossemoyenne(psi,direc,/nan) |
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[2] | 238 | ;---------------------------------------------------------------------------- |
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| 239 | END |
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| 240 | ;---------------------------------------------------------------------------- |
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| 241 | ;---------------------------------------------------------------------------- |
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| 242 | ;xyzt |
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| 243 | ;---------------------------------------------------------------------------- |
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| 244 | ;---------------------------------------------------------------------------- |
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| 245 | date1 NE date2 AND (size(u))[0] EQ 4:BEGIN |
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| 246 | return, report('non code!') |
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| 247 | END |
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| 248 | ;---------------------------------------------------------------------------- |
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| 249 | ;---------------------------------------------------------------------------- |
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| 250 | ;xy |
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| 251 | ;---------------------------------------------------------------------------- |
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| 252 | ;---------------------------------------------------------------------------- |
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| 253 | ELSE:BEGIN ;xy |
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| 254 | indice2d = lindgen(jpi, jpj) |
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| 255 | indice2d = indice2d[indicex[0]:indicex[0]+nx-1,indicey[0]:indicey[0]+ny-1] |
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| 256 | ;------------------------------------------------------------ |
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| 257 | ; extraction de u et v sur le domaine qui convient |
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| 258 | ;------------------------------------------------------------ |
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| 259 | case 1 of |
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| 260 | (size(u))[0] NE 2 OR (size(v))[0] NE 2: return, -1 |
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| 261 | (size(u))[1] EQ nxu AND (size(u))[2] EQ nyu AND $ |
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| 262 | (size(v))[1] EQ nxv AND (size(v))[2] EQ nyv:BEGIN |
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| 263 | if nxu NE nx then $ |
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[25] | 264 | if indicex[0] EQ firstxu then u = u[0:nx-1, *] ELSE u = u[1: nx, *] |
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[2] | 265 | IF nxv NE nx THEN $ |
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[25] | 266 | if indicex[0] EQ firstxv then v = v[0:nx-1, *] ELSE v = v[1: nx, *] |
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[2] | 267 | IF nyu NE ny THEN $ |
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[25] | 268 | if indicey[0] EQ firstyu then u = u[*, 0:ny-1] ELSE u = u[*, 1: ny] |
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[2] | 269 | IF nyv NE ny THEN $ |
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[25] | 270 | if indicey[0] EQ firstyv then v = v[*, 0:ny-1] ELSE v = v[*, 1: ny] |
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[2] | 271 | END |
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| 272 | (size(u))[1] EQ jpi AND (size(u))[2] EQ jpj AND $ |
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| 273 | (size(v))[1] EQ jpi AND (size(v))[2] EQ jpj:BEGIN |
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| 274 | u = u[indice2d] |
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| 275 | v = v[indice2d] |
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| 276 | END |
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| 277 | ELSE:return, -1 |
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| 278 | endcase |
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| 279 | ;------------------------------------------------------------ |
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| 280 | ; calcul du rotationnel |
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| 281 | ;------------------------------------------------------------ |
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[25] | 282 | coefu = e1u[indice2d]*(umask())[indice2d+jpi*jpj*firstzt] |
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[2] | 283 | terreu = where(coefu EQ 0) |
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| 284 | if terreu[0] NE -1 then coefu[temporary(terreu)] = !values.f_nan |
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[25] | 285 | coefv = e2v[indice2d]*(vmask())[indice2d+jpi*jpj*firstzt] |
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[2] | 286 | terrev = where(coefv EQ 0) |
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| 287 | if terrev[0] NE -1 then coefv[temporary(terrev)] = !values.f_nan |
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[25] | 288 | tabf = (fmask())[indice2d+jpi*jpj*firstzt]/(e1f[indice2d]*e2f[indice2d]) |
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[2] | 289 | ; |
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| 290 | zu = u*temporary(coefu) |
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| 291 | zv = v*temporary(coefv) |
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| 292 | |
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| 293 | psi = (shift(zv, -1, 0)-zv) + (zu-shift(zu, 0, -1)) |
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| 294 | psi = tabf*psi |
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| 295 | |
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| 296 | ;------------------------------------------------------------ |
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| 297 | ; mise a !values.f_nan de la bordure |
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| 298 | ;------------------------------------------------------------ |
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[25] | 299 | if NOT keyword_set(key_periodic) OR nx NE jpi then begin |
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[114] | 300 | psi[0, *] = !values.f_nan |
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| 301 | psi[nx-1, *] = !values.f_nan |
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[2] | 302 | endif |
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[114] | 303 | psi[*, 0] = !values.f_nan |
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| 304 | psi[*, ny-1] = !values.f_nan |
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[2] | 305 | ; |
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| 306 | if n_elements(valmask) EQ 0 THEN valmask = 1e20 |
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| 307 | terref = where(tabf EQ 0) |
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| 308 | if terref[0] NE -1 then psi[temporary(terref)] = valmask |
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| 309 | ;------------------------------------------------------------ |
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| 310 | ; pour le trace graphique |
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| 311 | ;------------------------------------------------------------ |
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[25] | 312 | domdef, (glamt[indice2d])[0, 0], (glamf[indice2d])[nx-1, 0],(gphit[indice2d])[0, 0], (gphif[indice2d])[0, ny-1], vert1, vert2, gridtype = ['t', 'f'] |
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| 313 | if keyword_set(direc) then psi = moyenne(psi,direc,/nan) |
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[2] | 314 | |
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| 315 | END |
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| 316 | ;---------------------------------------------------------------------------- |
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| 317 | endcase |
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| 318 | ;------------------------------------------------------------ |
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| 319 | if keyword_set(key_performance) THEN print, 'temps curl', systime(1)-tempsun |
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| 320 | ;------------------------------------------------------------ |
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| 321 | vargrid = 'F' |
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| 322 | varname = 'vorticity' |
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| 323 | return, psi |
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| 324 | end |
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