| 1 | ; Name: npc |
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| 2 | ; ----- |
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| 3 | ; |
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| 4 | ; Purpose : |
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| 5 | ; -------- |
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| 6 | ; Non penetrative convective adjustment scheme. solve the static |
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| 7 | ; instability of the water column. |
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| 8 | ; |
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| 9 | ; Method : |
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| 10 | ; ------- |
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| 11 | ; The algorithm used converges in a maximium of jpk iterations. |
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| 12 | ; instabilities are treated when the vertical density gradient |
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| 13 | ; is less than 1.e-5. |
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| 14 | ; |
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| 15 | ; Input : potential density (what ever the reference is) at t-point |
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| 16 | ; ------ |
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| 17 | ; |
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| 18 | ; Output : adjusted potential density field |
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| 19 | ; ------- |
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| 20 | ; |
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| 21 | ; References : |
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| 22 | ; ----------- |
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| 23 | ; Madec et al., 1991, JPO, 21, 9, 1349-1371. |
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| 24 | ; |
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| 25 | ; Modifications : |
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| 26 | ; -------------- |
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| 27 | ; original : 90-09 (G. Madec) |
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| 28 | ; Additions : 01-06 (G. Madec) Idl version |
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| 29 | ;---------------------------------------------------------------------- |
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| 30 | FUNCTION npc, s3d |
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| 31 | @common |
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| 32 | ;; |
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| 33 | ;; Definition des variables |
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| 34 | ;; |
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| 35 | ; Profils selon les niveaux du modele (suffixe _z) |
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| 36 | ; |
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| 37 | s_z = fltarr(jpk) ; profil de la densite |
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| 38 | ; |
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| 39 | ; Tableau de sortie |
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| 40 | ; |
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| 41 | rhos = fltarr(jpi, jpj, jpk) |
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| 42 | rhos = s3d |
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| 43 | ; |
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| 44 | ; ==================================== |
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| 45 | ; Loop over the horizontal domain (2D) |
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| 46 | ; ==================================== |
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| 47 | ; |
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| 48 | ncompt = 0 |
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| 49 | |
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| 50 | FOR i = 0, jpi-1 DO BEGIN |
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| 51 | FOR j = 0, jpj-1 DO BEGIN |
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| 52 | |
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| 53 | ; Indices des points T dans l ocean |
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| 54 | i_ocean = where(tmask(i,j,*) EQ 1) |
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| 55 | |
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| 56 | IF (i_ocean[0] NE -1) THEN BEGIN ; on n'entre que si il y a des points ocean |
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| 57 | ; |
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| 58 | ; density profil |
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| 59 | s_z(*)= s3d(i,j,*) |
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| 60 | ;s_z(*) = rho(i,j,*) |
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| 61 | ; |
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| 62 | ; 1. Static instability pointer |
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| 63 | ; ----------------------------- |
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| 64 | ; |
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| 65 | ds =(shift(s_z,-1)-s_z)(i_ocean(0:n_elements(i_ocean)-2)) |
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| 66 | ind_c = where(ds LT 0.) |
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| 67 | ; |
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| 68 | ; 2. Vertical mixing for each instable portion of the density profil |
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| 69 | ; |
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| 70 | IF ( ind_c(0) NE -1 ) THEN BEGIN |
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| 71 | ncompt=ncompt+1 |
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| 72 | ; print, 'static instability at i,j=', i,j |
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| 73 | ; |
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| 74 | ; -->> the density profil is statically instable : |
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| 75 | ; ikbot: last ocean level (just above the bottom) |
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| 76 | ikbot = n_elements(i_ocean)-1 |
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| 77 | ; vertical iteration |
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| 78 | jiter = 0 |
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| 79 | WHILE ( (ind_c(0) NE -1) AND (jiter LT jpk-1) ) DO BEGIN |
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| 80 | jiter = jiter+1 |
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| 81 | ; ikup : the first static instability from the sea surface |
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| 82 | ikup = ind_c(0) |
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| 83 | ; the density profil is instable below ikup |
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| 84 | ; ikdown : bottom of the instable portion of the density profil |
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| 85 | ; search of ikdown and vertical mixing from ikup to ikdown |
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| 86 | ze3tot= e3t(ikup) |
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| 87 | zraua = s_z(ikup) |
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| 88 | jkdown = ikup+1 |
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| 89 | ; |
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| 90 | WHILE (jkdown LE ikbot AND zraua GT s_z(jkdown) ) DO BEGIN |
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| 91 | ze3dwn = e3t(jkdown) |
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| 92 | ze3tot = ze3tot+ze3dwn |
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| 93 | zraua = ( zraua*(ze3tot-ze3dwn) + s_z(jkdown)*ze3dwn )/ze3tot |
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| 94 | jkdown = jkdown + 1 |
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| 95 | ENDWHILE |
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| 96 | |
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| 97 | FOR jkp = ikup,jkdown-1 DO BEGIN |
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| 98 | s_z(jkp) = zraua |
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| 99 | ENDFOR |
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| 100 | ds =(shift(s_z, -1)-s_z)(i_ocean(0:n_elements(i_ocean)-2)) |
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| 101 | ind_c = where(ds LT 0.) |
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| 102 | ENDWHILE |
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| 103 | ENDIF |
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| 104 | ; save the modifications |
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| 105 | rhos(i,j,*) = s_z(*) |
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| 106 | ; |
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| 107 | ; <<-- no more static instability on slab jj |
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| 108 | ; |
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| 109 | ENDIF |
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| 110 | ENDFOR |
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| 111 | ENDFOR |
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| 112 | ; |
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| 113 | print, ' number of static instability treated : ', ncompt |
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| 114 | ; sortie: |
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| 115 | return, rhos |
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| 116 | |
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| 117 | END |
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| 118 | |
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