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module fyhyp_m |
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IMPLICIT NONE |
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contains |
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SUBROUTINE fyhyp(rlatu, yyprimu, rlatv, rlatu2, yprimu2, rlatu1, yprimu1) |
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! From LMDZ4/libf/dyn3d/fyhyp.F, version 1.2, 2005/06/03 09:11:32 |
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! Author: P. Le Van, from analysis by R. Sadourny |
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|
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! Calcule les latitudes et dérivées dans la grille du GCM pour une |
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! fonction f(y) à dérivée tangente hyperbolique. |
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|
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! Nota bene : il vaut mieux avoir grossismy * dzoomy < pi / 2 (radians). |
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|
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use coefpoly_m, only: coefpoly |
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USE dimens_m, only: jjm |
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use serre, only: clat, grossismy, dzoomy, tauy |
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|
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REAL, intent(out):: rlatu(jjm + 1), yyprimu(jjm + 1) |
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REAL, intent(out):: rlatv(jjm) |
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real, intent(out):: rlatu2(jjm), yprimu2(jjm), rlatu1(jjm), yprimu1(jjm) |
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|
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! Local: |
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|
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DOUBLE PRECISION champmin, champmax |
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INTEGER, PARAMETER:: nmax=30000, nmax2=2*nmax |
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REAL dzoom ! distance totale de la zone du zoom (en radians) |
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DOUBLE PRECISION ylat(jjm + 1), yprim(jjm + 1) |
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DOUBLE PRECISION yuv |
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DOUBLE PRECISION, save:: yt(0:nmax2) |
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DOUBLE PRECISION fhyp(0:nmax2), beta |
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DOUBLE PRECISION, save:: ytprim(0:nmax2) |
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DOUBLE PRECISION fxm(0:nmax2) |
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DOUBLE PRECISION, save:: yf(0:nmax2) |
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DOUBLE PRECISION yypr(0:nmax2) |
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DOUBLE PRECISION yvrai(jjm + 1), yprimm(jjm + 1), ylatt(jjm + 1) |
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DOUBLE PRECISION pi, pis2, epsilon, y0, pisjm |
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DOUBLE PRECISION yo1, yi, ylon2, ymoy, yprimin |
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DOUBLE PRECISION yfi, yf1, ffdy |
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DOUBLE PRECISION ypn, deply, y00 |
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SAVE y00, deply |
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|
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INTEGER i, j, it, ik, iter, jlat |
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INTEGER jpn, jjpn |
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SAVE jpn |
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DOUBLE PRECISION a0, a1, a2, a3, yi2, heavyy0, heavyy0m |
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DOUBLE PRECISION fa(0:nmax2), fb(0:nmax2) |
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REAL y0min, y0max |
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|
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DOUBLE PRECISION heavyside |
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|
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!------------------------------------------------------------------- |
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|
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print *, "Call sequence information: fyhyp" |
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|
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pi = 2.*asin(1.) |
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pis2 = pi/2. |
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pisjm = pi/real(jjm) |
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epsilon = 1e-3 |
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y0 = clat*pi/180. |
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|
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IF (dzoomy<1.) THEN |
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dzoom = dzoomy*pi |
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ELSE IF (dzoomy<12.) THEN |
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print *, "Le paramètre dzoomy pour fyhyp est trop petit. L'augmenter " & |
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// "et relancer." |
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STOP 1 |
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ELSE |
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dzoom = dzoomy * pi/180. |
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END IF |
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|
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print *, 'yzoom(rad), grossismy, tauy, dzoom (rad):' |
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print *, y0, grossismy, tauy, dzoom |
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|
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DO i = 0, nmax2 |
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yt(i) = -pis2 + real(i)*pi/nmax2 |
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END DO |
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heavyy0m = heavyside(-y0) |
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heavyy0 = heavyside(y0) |
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y0min = 2.*y0*heavyy0m - pis2 |
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y0max = 2.*y0*heavyy0 + pis2 |
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|
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fa = 999.999 |
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fb = 999.999 |
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DO i = 0, nmax2 |
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IF (yt(i)<y0) THEN |
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fa(i) = tauy*(yt(i)-y0 + dzoom/2.) |
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fb(i) = (yt(i)-2.*y0*heavyy0m + pis2)*(y0-yt(i)) |
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ELSE IF (yt(i)>y0) THEN |
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fa(i) = tauy*(y0-yt(i) + dzoom/2.) |
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fb(i) = (2.*y0*heavyy0-yt(i) + pis2)*(yt(i)-y0) |
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END IF |
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IF (200.*fb(i)<-fa(i)) THEN |
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fhyp(i) = -1. |
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ELSE IF (200.*fb(i)<fa(i)) THEN |
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fhyp(i) = 1. |
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ELSE |
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fhyp(i) = tanh(fa(i)/fb(i)) |
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END IF |
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IF (yt(i)==y0) fhyp(i) = 1. |
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IF (yt(i)==y0min .OR. yt(i)==y0max) fhyp(i) = -1. |
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END DO |
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! Calcul de beta |
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ffdy = 0. |
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DO i = 1, nmax2 |
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ymoy = 0.5*(yt(i-1) + yt(i)) |
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IF (ymoy<y0) THEN |
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fa(i) = tauy*(ymoy-y0 + dzoom/2.) |
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fb(i) = (ymoy-2.*y0*heavyy0m + pis2)*(y0-ymoy) |
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ELSE IF (ymoy>y0) THEN |
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fa(i) = tauy*(y0-ymoy + dzoom/2.) |
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fb(i) = (2.*y0*heavyy0-ymoy + pis2)*(ymoy-y0) |
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END IF |
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IF (200.*fb(i)<-fa(i)) THEN |
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fxm(i) = -1. |
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ELSE IF (200.*fb(i)<fa(i)) THEN |
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fxm(i) = 1. |
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ELSE |
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fxm(i) = tanh(fa(i)/fb(i)) |
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END IF |
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IF (ymoy==y0) fxm(i) = 1. |
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IF (ymoy==y0min .OR. yt(i)==y0max) fxm(i) = -1. |
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ffdy = ffdy + fxm(i)*(yt(i)-yt(i-1)) |
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END DO |
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beta = (grossismy*ffdy-pi)/(ffdy-pi) |
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IF (2. * beta - grossismy <= 0.) THEN |
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print *, 'Attention ! La valeur beta calculee dans la routine fyhyp ' & |
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// 'est mauvaise. Modifier les valeurs de grossismy, tauy ou ' & |
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// 'dzoomy et relancer.' |
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STOP 1 |
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END IF |
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! calcul de Ytprim |
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DO i = 0, nmax2 |
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ytprim(i) = beta + (grossismy-beta)*fhyp(i) |
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END DO |
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! Calcul de Yf |
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yf(0) = -pis2 |
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DO i = 1, nmax2 |
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yypr(i) = beta + (grossismy-beta)*fxm(i) |
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END DO |
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DO i = 1, nmax2 |
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yf(i) = yf(i-1) + yypr(i)*(yt(i)-yt(i-1)) |
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END DO |
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! yuv = 0. si calcul des latitudes aux pts. U |
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! yuv = 0.5 si calcul des latitudes aux pts. V |
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loop_ik: DO ik = 1, 4 |
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IF (ik==1) THEN |
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yuv = 0. |
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jlat = jjm + 1 |
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ELSE IF (ik==2) THEN |
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yuv = 0.5 |
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jlat = jjm |
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ELSE IF (ik==3) THEN |
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yuv = 0.25 |
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jlat = jjm |
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ELSE IF (ik==4) THEN |
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yuv = 0.75 |
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jlat = jjm |
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END IF |
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|
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yo1 = 0. |
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DO j = 1, jlat |
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yo1 = 0. |
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ylon2 = -pis2 + pisjm*(real(j) + yuv-1.) |
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yfi = ylon2 |
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it = nmax2 |
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DO while (it >= 1 .and. yfi < yf(it)) |
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it = it - 1 |
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END DO |
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yi = yt(it) |
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IF (it==nmax2) THEN |
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it = nmax2 - 1 |
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yf(it + 1) = pis2 |
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END IF |
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! Interpolation entre yi(it) et yi(it + 1) pour avoir Y(yi) |
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! et Y'(yi) |
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CALL coefpoly(yf(it), yf(it + 1), ytprim(it), ytprim(it + 1), & |
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yt(it), yt(it + 1), a0, a1, a2, a3) |
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yf1 = yf(it) |
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yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi |
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iter = 1 |
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DO |
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yi = yi - (yf1-yfi)/yprimin |
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IF (abs(yi-yo1)<=epsilon .or. iter == 300) exit |
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yo1 = yi |
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yi2 = yi*yi |
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yf1 = a0 + a1*yi + a2*yi2 + a3*yi2*yi |
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yprimin = a1 + 2.*a2*yi + 3.*a3*yi2 |
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END DO |
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if (abs(yi-yo1) > epsilon) then |
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print *, 'Pas de solution.', j, ylon2 |
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STOP 1 |
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end if |
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|
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yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi |
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yprim(j) = pi/(jjm*yprimin) |
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yvrai(j) = yi |
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END DO |
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DO j = 1, jlat - 1 |
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IF (yvrai(j + 1)<yvrai(j)) THEN |
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print *, 'Problème avec rlat(', j + 1, ') plus petit que rlat(', & |
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j, ')' |
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STOP 1 |
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END IF |
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END DO |
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print *, 'Reorganisation des latitudes pour avoir entre - pi/2 et pi/2' |
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IF (ik==1) THEN |
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ypn = pis2 |
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DO j = jjm + 1, 1, -1 |
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IF (yvrai(j)<=ypn) exit |
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END DO |
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jpn = j |
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y00 = yvrai(jpn) |
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deply = pis2 - y00 |
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END IF |
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DO j = 1, jjm + 1 - jpn |
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ylatt(j) = -pis2 - y00 + yvrai(jpn + j-1) |
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yprimm(j) = yprim(jpn + j-1) |
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END DO |
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jjpn = jpn |
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IF (jlat==jjm) jjpn = jpn - 1 |
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DO j = 1, jjpn |
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ylatt(j + jjm + 1-jpn) = yvrai(j) + deply |
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yprimm(j + jjm + 1-jpn) = yprim(j) |
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END DO |
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! Fin de la reorganisation |
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DO j = 1, jlat |
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ylat(j) = ylatt(jlat + 1-j) |
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yprim(j) = yprimm(jlat + 1-j) |
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END DO |
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DO j = 1, jlat |
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yvrai(j) = ylat(j)*180./pi |
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END DO |
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IF (ik==1) THEN |
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DO j = 1, jjm + 1 |
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rlatu(j) = ylat(j) |
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yyprimu(j) = yprim(j) |
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END DO |
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ELSE IF (ik==2) THEN |
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DO j = 1, jjm |
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rlatv(j) = ylat(j) |
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END DO |
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ELSE IF (ik==3) THEN |
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DO j = 1, jjm |
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rlatu2(j) = ylat(j) |
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yprimu2(j) = yprim(j) |
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END DO |
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ELSE IF (ik==4) THEN |
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DO j = 1, jjm |
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rlatu1(j) = ylat(j) |
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yprimu1(j) = yprim(j) |
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END DO |
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END IF |
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END DO loop_ik |
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|
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DO j = 1, jjm |
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ylat(j) = rlatu(j) - rlatu(j + 1) |
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END DO |
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champmin = 1e12 |
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champmax = -1e12 |
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DO j = 1, jjm |
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champmin = min(champmin, ylat(j)) |
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champmax = max(champmax, ylat(j)) |
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END DO |
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champmin = champmin*180./pi |
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champmax = champmax*180./pi |
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|
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DO j = 1, jjm |
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IF (rlatu1(j) <= rlatu2(j)) THEN |
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print *, 'Attention ! rlatu1 < rlatu2 ', rlatu1(j), rlatu2(j), j |
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STOP 13 |
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ENDIF |
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|
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IF (rlatu2(j) <= rlatu(j+1)) THEN |
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print *, 'Attention ! rlatu2 < rlatup1 ', rlatu2(j), rlatu(j+1), j |
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STOP 14 |
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ENDIF |
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|
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IF (rlatu(j) <= rlatu1(j)) THEN |
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print *, ' Attention ! rlatu < rlatu1 ', rlatu(j), rlatu1(j), j |
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STOP 15 |
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ENDIF |
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|
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IF (rlatv(j) <= rlatu2(j)) THEN |
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print *, ' Attention ! rlatv < rlatu2 ', rlatv(j), rlatu2(j), j |
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STOP 16 |
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ENDIF |
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|
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IF (rlatv(j) >= rlatu1(j)) THEN |
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print *, ' Attention ! rlatv > rlatu1 ', rlatv(j), rlatu1(j), j |
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STOP 17 |
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ENDIF |
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|
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IF (rlatv(j) >= rlatu(j)) THEN |
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print *, ' Attention ! rlatv > rlatu ', rlatv(j), rlatu(j), j |
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STOP 18 |
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ENDIF |
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ENDDO |
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|
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print *, 'Latitudes' |
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print 3, champmin, champmax |
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|
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3 Format(1x, ' Au centre du zoom, la longueur de la maille est', & |
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' d environ ', f0.2, ' degres ', /, & |
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' alors que la maille en dehors de la zone du zoom est ', & |
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"d'environ ", f0.2, ' degres ') |
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|
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END SUBROUTINE fyhyp |
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|
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end module fyhyp_m |
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