/[lmdze]/trunk/dyn3d/fxhyp.f
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trunk/dyn3d/fxhyp.f revision 124 by guez, Thu Feb 5 15:19:37 2015 UTC trunk/Sources/dyn3d/fxhyp.f revision 147 by guez, Wed Jun 17 14:20:14 2015 UTC
# Line 15  contains Line 15  contains
15      ! Il vaut mieux avoir : grossismx \times dzoom < pi      ! Il vaut mieux avoir : grossismx \times dzoom < pi
16    
17      ! Le premier point scalaire pour une grille regulière (grossismx =      ! Le premier point scalaire pour une grille regulière (grossismx =
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 nr_util, only: pi, pi_d, twopi_d, arth      use invert_zoom_x_m, only: invert_zoom_x, nmax
23        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)
29    
30      ! Local:      ! Local:
31      real rlonm025(iim + 1), rlonp025(iim + 1)      real rlonm025(iim + 1), rlonp025(iim + 1), d_rlonv(iim)
32      REAL dzoom      REAL dzoom, step
33      real d_rlonv(iim)      DOUBLE PRECISION, dimension(0:nmax):: xtild, fhyp, G, Xf, ffdx
34      DOUBLE PRECISION xtild(0:2 * nmax)      DOUBLE PRECISION beta
     DOUBLE PRECISION fhyp(nmax:2 * nmax), ffdx, beta, Xprimt(0:2 * nmax)  
     DOUBLE PRECISION Xf(0:2 * nmax), xxpr(2 * nmax)  
     DOUBLE PRECISION xzoom, fa, fb  
35      INTEGER i, is2      INTEGER i, is2
36      DOUBLE PRECISION xmoy, fxm      DOUBLE PRECISION xmoy(nmax), fxm(nmax)
     DOUBLE PRECISION decalx  
37    
38      !----------------------------------------------------------------------      !----------------------------------------------------------------------
39    
40      print *, "Call sequence information: fxhyp"      print *, "Call sequence information: fxhyp"
41    
42      dzoom = dzoomx * twopi_d      test_grossismx: if (grossismx == 1.) then
43      xtild = arth(- pi_d, pi_d / nmax, 2 * nmax + 1)         step = twopi / iim
44    
45      ! Compute fhyp:         xprimm025(:iim) = step
46      DO i = nmax, 2 * nmax         xprimp025(:iim) = step
47         fa = taux * (dzoom / 2. - xtild(i))         xprimv(:iim) = step
48         fb = xtild(i) * (pi_d - xtild(i))         xprimu(:iim) = step
49    
50         IF (200. * fb < - fa) THEN         rlonv(:iim) = arth(- pi + clon, step, iim)
51            fhyp(i) = - 1.         rlonm025(:iim) = rlonv(:iim) - 0.25 * step
52         ELSE IF (200. * fb < fa) THEN         rlonp025(:iim) = rlonv(:iim) + 0.25 * step
53            fhyp(i) = 1.         rlonu(:iim) = rlonv(:iim) + 0.5 * step
54         ELSE      else test_grossismx
55            IF (ABS(fa) < 1e-13 .AND. ABS(fb) < 1e-13) THEN         dzoom = dzoomx * twopi_d
56               IF (200. * fb + fa < 1e-10) THEN         xtild = arth(0d0, pi_d / nmax, nmax + 1)
57                  fhyp(i) = - 1.         forall (i = 1:nmax) xmoy(i) = 0.5d0 * (xtild(i-1) + xtild(i))
58               ELSE IF (200. * fb - fa < 1e-10) THEN  
59                  fhyp(i) = 1.         ! Compute fhyp:
60               END IF         fhyp(1:nmax - 1) = tanh_cautious(taux * (dzoom / 2d0 &
61            ELSE              - xtild(1:nmax - 1)), xtild(1:nmax - 1) &
62               fhyp(i) = TANH(fa / fb)              * (pi_d - xtild(1:nmax - 1)))
63            END IF         fhyp(0) = 1d0
64           fhyp(nmax) = -1d0
65    
66           fxm = tanh_cautious(taux * (dzoom / 2d0 - xmoy), xmoy * (pi_d - xmoy))
67    
68           ! Compute \int_0 ^{\tilde x} F:
69    
70           ffdx(0) = 0d0
71    
72           DO i = 1, nmax
73              ffdx(i) = ffdx(i - 1) + fxm(i) * (xtild(i) - xtild(i-1))
74           END DO
75    
76           print *, "ffdx(nmax) = ", ffdx(nmax)
77           beta = (pi_d - grossismx * ffdx(nmax)) / (pi_d - ffdx(nmax))
78           print *, "beta = ", beta
79    
80           IF (2d0 * beta - grossismx <= 0d0) THEN
81              print *, 'Bad choice of grossismx, taux, dzoomx.'
82              print *, 'Decrease dzoomx or grossismx.'
83              STOP 1
84         END IF         END IF
85    
86         IF (xtild(i) == 0.) fhyp(i) = 1.         G = beta + (grossismx - beta) * fhyp
        IF (xtild(i) == pi_d) fhyp(i) = -1.  
     END DO  
   
     ! Calcul de beta  
   
     ffdx = 0.  
   
     DO i = nmax + 1, 2 * nmax  
        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  
           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))  
     END DO  
   
     print *, "ffdx = ", ffdx  
     beta = (grossismx * ffdx - pi_d) / (ffdx - pi_d)  
     print *, "beta = ", beta  
   
     IF (2. * beta - grossismx <= 0.) THEN  
        print *, 'Bad choice of grossismx, taux, dzoomx.'  
        print *, 'Decrease dzoomx or grossismx.'  
        STOP 1  
     END IF  
   
     ! calcul de Xprimt  
     Xprimt(nmax:2 * nmax) = beta + (grossismx - beta) * fhyp  
     xprimt(:nmax - 1) = xprimt(2 * nmax:nmax + 1:- 1)  
   
     ! Calcul de Xf  
   
     DO i = nmax + 1, 2 * nmax  
        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  
   
     xxpr(:nmax) = xxpr(2 * nmax:nmax + 1:- 1)  
   
     Xf(0) = - pi_d  
   
     DO i=1, 2 * nmax - 1  
        Xf(i) = Xf(i-1) + xxpr(i) * (xtild(i) - xtild(i-1))  
     END DO  
   
     Xf(2 * nmax) = pi_d  
   
     IF (grossismx == 1.) THEN  
        decalx = 1d0  
     else  
        decalx = 0.75d0  
     END IF  
87    
88      xzoom = clon * pi_d / 180d0         Xf(:nmax - 1) = beta * xtild(:nmax - 1) + (grossismx - beta) &
89      call fxhyp_loop_ik(1, decalx, xf, xtild, Xprimt, xzoom, rlonm025(:iim), &              * ffdx(:nmax - 1)
90           xprimm025(:iim), xuv = - 0.25d0)         Xf(nmax) = pi_d
91      call fxhyp_loop_ik(2, decalx, xf, xtild, Xprimt, xzoom, rlonv(:iim), &  
92           xprimv(:iim), xuv = 0d0)         call invert_zoom_x(xf, xtild, G, rlonm025(:iim), xprimm025(:iim), &
93      call fxhyp_loop_ik(3, decalx, xf, xtild, Xprimt, xzoom, rlonu(:iim), &              xuv = - 0.25d0)
94           xprimu(:iim), xuv = 0.5d0)         call invert_zoom_x(xf, xtild, G, rlonv(:iim), xprimv(:iim), xuv = 0d0)
95      call fxhyp_loop_ik(4, decalx, xf, xtild, Xprimt, xzoom, rlonp025(:iim), &         call invert_zoom_x(xf, xtild, G, rlonu(:iim), xprimu(:iim), xuv = 0.5d0)
96           xprimp025(:iim), xuv = 0.25d0)         call invert_zoom_x(xf, xtild, G, rlonp025(:iim), xprimp025(:iim), &
97                xuv = 0.25d0)
98        end if test_grossismx
99    
100      is2 = 0      is2 = 0
101    
# Line 199  contains Line 135  contains
135      print *, "Minimum longitude step:", MINval(d_rlonv) * 180. / pi, "degrees"      print *, "Minimum longitude step:", MINval(d_rlonv) * 180. / pi, "degrees"
136      print *, "Maximum longitude step:", MAXval(d_rlonv) * 180. / pi, "degrees"      print *, "Maximum longitude step:", MAXval(d_rlonv) * 180. / pi, "degrees"
137    
138        ! Check that rlonm025 <= rlonv <= rlonp025 <= rlonu:
139      DO i = 1, iim + 1      DO i = 1, iim + 1
140         IF (rlonp025(i) < rlonv(i)) THEN         IF (rlonp025(i) < rlonv(i)) THEN
141            print *, 'rlonp025(', i, ') = ', rlonp025(i)            print *, 'rlonp025(', i, ') = ', rlonp025(i)
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