/[lmdze]/trunk/dyn3d/fxhyp.f
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trunk/dyn3d/fxhyp.f revision 126 by guez, Fri Feb 6 18:33:15 2015 UTC trunk/Sources/dyn3d/fxhyp.f revision 144 by guez, Wed Jun 10 16:46:46 2015 UTC
# Line 18  contains Line 18  contains
18      ! 1., taux=0., clon=0.) est à - 180 degrés.      ! 1., taux=0., clon=0.) est à - 180 degrés.
19    
20      USE dimens_m, ONLY: iim      USE dimens_m, ONLY: iim
21      use fxhyp_loop_ik_m, only: fxhyp_loop_ik, nmax      use dynetat0_m, only: clon, grossismx, dzoomx, taux
22        use invert_zoom_x_m, only: invert_zoom_x, nmax
23      use nr_util, only: pi, pi_d, twopi, twopi_d, arth      use nr_util, only: pi, pi_d, twopi, twopi_d, arth
24      use principal_cshift_m, only: principal_cshift      use principal_cshift_m, only: principal_cshift
25      use serre, only: clon, grossismx, dzoomx, taux      use tanh_cautious_m, only: tanh_cautious
26    
27      REAL, intent(out):: xprimm025(:), rlonv(:), xprimv(:) ! (iim + 1)      REAL, intent(out):: xprimm025(:), rlonv(:), xprimv(:) ! (iim + 1)
28      real, intent(out):: rlonu(:), xprimu(:), xprimp025(:) ! (iim + 1)      real, intent(out):: rlonu(:), xprimu(:), xprimp025(:) ! (iim + 1)
# Line 33  contains Line 34  contains
34      DOUBLE PRECISION xtild(0:2 * nmax)      DOUBLE PRECISION xtild(0:2 * nmax)
35      DOUBLE PRECISION fhyp(nmax:2 * nmax), ffdx, beta, Xprimt(0:2 * nmax)      DOUBLE PRECISION fhyp(nmax:2 * nmax), ffdx, beta, Xprimt(0:2 * nmax)
36      DOUBLE PRECISION Xf(0:2 * nmax), xxpr(2 * nmax)      DOUBLE PRECISION Xf(0:2 * nmax), xxpr(2 * nmax)
     DOUBLE PRECISION xzoom, fa, fb  
37      INTEGER i, is2      INTEGER i, is2
38      DOUBLE PRECISION xmoy, fxm      DOUBLE PRECISION, dimension(nmax + 1:2 * nmax):: xmoy, fxm
39    
40      !----------------------------------------------------------------------      !----------------------------------------------------------------------
41    
42      print *, "Call sequence information: fxhyp"      print *, "Call sequence information: fxhyp"
43    
     xzoom = clon * pi_d / 180d0  
   
44      test_grossismx: if (grossismx == 1.) then      test_grossismx: if (grossismx == 1.) then
45         step = twopi / iim         step = twopi / iim
46    
# Line 51  contains Line 49  contains
49         xprimv(:iim) = step         xprimv(:iim) = step
50         xprimu(:iim) = step         xprimu(:iim) = step
51    
52         rlonv(:iim) = arth(- pi + clon * pi / 180., step, iim)         rlonv(:iim) = arth(- pi + clon, step, iim)
53         rlonm025(:iim) = rlonv(:iim) - 0.25 * step         rlonm025(:iim) = rlonv(:iim) - 0.25 * step
54         rlonp025(:iim) = rlonv(:iim) + 0.25 * step         rlonp025(:iim) = rlonv(:iim) + 0.25 * step
55         rlonu(:iim) = rlonv(:iim) + 0.5 * step         rlonu(:iim) = rlonv(:iim) + 0.5 * step
56      else      else test_grossismx
57         dzoom = dzoomx * twopi_d         dzoom = dzoomx * twopi_d
58         xtild = arth(- pi_d, pi_d / nmax, 2 * nmax + 1)         xtild = arth(- pi_d, pi_d / nmax, 2 * nmax + 1)
59           forall (i = nmax + 1:2 * nmax) xmoy(i) = 0.5d0 * (xtild(i-1) + xtild(i))
60    
61         ! Compute fhyp:         ! Compute fhyp:
62         DO i = nmax, 2 * nmax         fhyp(nmax + 1:2 * nmax - 1) = tanh_cautious(taux * (dzoom / 2. &
63            fa = taux * (dzoom / 2. - xtild(i))              - xtild(nmax + 1:2 * nmax - 1)), xtild(nmax + 1:2 * nmax - 1) &
64            fb = xtild(i) * (pi_d - xtild(i))              * (pi_d - xtild(nmax + 1:2 * nmax - 1)))
65           fhyp(nmax) = 1d0
66            IF (200. * fb < - fa) THEN         fhyp(2 * nmax) = -1d0
              fhyp(i) = - 1.  
           ELSE IF (200. * fb < fa) THEN  
              fhyp(i) = 1.  
           ELSE  
              IF (ABS(fa) < 1e-13 .AND. ABS(fb) < 1e-13) THEN  
                 IF (200. * fb + fa < 1e-10) THEN  
                    fhyp(i) = - 1.  
                 ELSE IF (200. * fb - fa < 1e-10) THEN  
                    fhyp(i) = 1.  
                 END IF  
              ELSE  
                 fhyp(i) = TANH(fa / fb)  
              END IF  
           END IF  
67    
68            IF (xtild(i) == 0.) fhyp(i) = 1.         fxm = tanh_cautious(taux * (dzoom / 2. - xmoy), xmoy * (pi_d - xmoy))
           IF (xtild(i) == pi_d) fhyp(i) = -1.  
        END DO  
69    
70         ! Calcul de beta         ! Calcul de beta
71    
72         ffdx = 0.         ffdx = 0.
73    
74         DO i = nmax + 1, 2 * nmax         DO i = nmax + 1, 2 * nmax
75            xmoy = 0.5 * (xtild(i-1) + xtild(i))            ffdx = ffdx + fxm(i) * (xtild(i) - xtild(i-1))
           fa = taux * (dzoom / 2. - xmoy)  
           fb = xmoy * (pi_d - xmoy)  
   
           IF (200. * fb < - fa) THEN  
              fxm = - 1.  
           ELSE IF (200. * fb < fa) THEN  
              fxm = 1.  
           ELSE  
              IF (ABS(fa) < 1e-13 .AND. ABS(fb) < 1e-13) THEN  
                 IF (200. * fb + fa < 1e-10) THEN  
                    fxm = - 1.  
                 ELSE IF (200. * fb - fa < 1e-10) THEN  
                    fxm = 1.  
                 END IF  
              ELSE  
                 fxm = TANH(fa / fb)  
              END IF  
           END IF  
   
           IF (xmoy == 0.) fxm = 1.  
           IF (xmoy == pi_d) fxm = -1.  
   
           ffdx = ffdx + fxm * (xtild(i) - xtild(i-1))  
76         END DO         END DO
77    
78         print *, "ffdx = ", ffdx         print *, "ffdx = ", ffdx
79         beta = (grossismx * ffdx - pi_d) / (ffdx - pi_d)         beta = (pi_d - grossismx * ffdx) / (pi_d - ffdx)
80         print *, "beta = ", beta         print *, "beta = ", beta
81    
82         IF (2. * beta - grossismx <= 0.) THEN         IF (2. * beta - grossismx <= 0.) THEN
# Line 131  contains Line 91  contains
91    
92         ! Calcul de Xf         ! Calcul de Xf
93    
94         DO i = nmax + 1, 2 * nmax         xxpr(nmax + 1:2 * nmax) = beta + (grossismx - beta) * fxm
           xmoy = 0.5 * (xtild(i-1) + xtild(i))  
           fa = taux * (dzoom / 2. - xmoy)  
           fb = xmoy * (pi_d - xmoy)  
   
           IF (200. * fb < - fa) THEN  
              fxm = - 1.  
           ELSE IF (200. * fb < fa) THEN  
              fxm = 1.  
           ELSE  
              fxm = TANH(fa / fb)  
           END IF  
   
           IF (xmoy == 0.) fxm = 1.  
           IF (xmoy == pi_d) fxm = -1.  
           xxpr(i) = beta + (grossismx - beta) * fxm  
        END DO  
   
95         xxpr(:nmax) = xxpr(2 * nmax:nmax + 1:- 1)         xxpr(:nmax) = xxpr(2 * nmax:nmax + 1:- 1)
96    
97         Xf(0) = - pi_d         Xf(0) = - pi_d
# Line 159  contains Line 102  contains
102    
103         Xf(2 * nmax) = pi_d         Xf(2 * nmax) = pi_d
104    
105         call fxhyp_loop_ik(xf, xtild, Xprimt, xzoom, rlonm025(:iim), &         call invert_zoom_x(xf, xtild, Xprimt, rlonm025(:iim), xprimm025(:iim), &
106              xprimm025(:iim), xuv = - 0.25d0)              xuv = - 0.25d0)
107         call fxhyp_loop_ik(xf, xtild, Xprimt, xzoom, rlonv(:iim), &         call invert_zoom_x(xf, xtild, Xprimt, rlonv(:iim), xprimv(:iim), &
108              xprimv(:iim), xuv = 0d0)              xuv = 0d0)
109         call fxhyp_loop_ik(xf, xtild, Xprimt, xzoom, rlonu(:iim), &         call invert_zoom_x(xf, xtild, Xprimt, rlonu(:iim), xprimu(:iim), &
110              xprimu(:iim), xuv = 0.5d0)              xuv = 0.5d0)
111         call fxhyp_loop_ik(xf, xtild, Xprimt, xzoom, rlonp025(:iim), &         call invert_zoom_x(xf, xtild, Xprimt, rlonp025(:iim), xprimp025(:iim), &
112              xprimp025(:iim), xuv = 0.25d0)              xuv = 0.25d0)
113      end if test_grossismx      end if test_grossismx
114    
115      is2 = 0      is2 = 0
# Line 207  contains Line 150  contains
150      print *, "Minimum longitude step:", MINval(d_rlonv) * 180. / pi, "degrees"      print *, "Minimum longitude step:", MINval(d_rlonv) * 180. / pi, "degrees"
151      print *, "Maximum longitude step:", MAXval(d_rlonv) * 180. / pi, "degrees"      print *, "Maximum longitude step:", MAXval(d_rlonv) * 180. / pi, "degrees"
152    
153        ! Check that rlonm025 <= rlonv <= rlonp025 <= rlonu:
154      DO i = 1, iim + 1      DO i = 1, iim + 1
155         IF (rlonp025(i) < rlonv(i)) THEN         IF (rlonp025(i) < rlonv(i)) THEN
156            print *, 'rlonp025(', i, ') = ', rlonp025(i)            print *, 'rlonp025(', i, ') = ', rlonp025(i)
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