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revision 143 by guez, Tue Jun 9 14:32:46 2015 UTC revision 164 by guez, Tue Jul 28 14:53:31 2015 UTC
# Line 2  module inifilr_m Line 2  module inifilr_m
2    
3    IMPLICIT NONE    IMPLICIT NONE
4    
   INTEGER jfiltnu, jfiltsu, jfiltnv, jfiltsv  
   ! jfiltn index of the last scalar line filtered in NH  
   ! jfilts index of the first line filtered in SH  
   
5    ! North:    ! North:
6    
7      INTEGER jfiltnu, jfiltnv
8      ! index of the last scalar line filtered in northern hemisphere
9    
10    real, allocatable:: matriceun(:, :, :), matrinvn(:, :, :)    real, allocatable:: matriceun(:, :, :), matrinvn(:, :, :)
11    ! (iim, iim, 2:jfiltnu)    ! (iim, iim, 2:jfiltnu)
12    
13    real, allocatable:: matricevn(:, :, :) ! (iim, iim, jfiltnv)    real, allocatable:: matricevn(:, :, :) ! (iim, iim, jfiltnv)
14    
15    ! South:    ! South:
16    
17      integer jfiltsu, jfiltsv
18      ! index of the first line filtered in southern hemisphere
19    
20    real, allocatable:: matriceus(:, :, :), matrinvs(:, :, :)    real, allocatable:: matriceus(:, :, :), matrinvs(:, :, :)
21    ! (iim, iim, jfiltsu:jjm)    ! (iim, iim, jfiltsu:jjm)
22    
# Line 22  contains Line 26  contains
26    
27    SUBROUTINE inifilr    SUBROUTINE inifilr
28    
29      ! From filtrez/inifilr.F, version 1.1.1.1 2004/05/19 12:53:09      ! From filtrez/inifilr.F, version 1.1.1.1, 2004/05/19 12:53:09
30      ! H. Upadhyaya, O. Sharma      ! H. Upadhyaya, O. Sharma
31    
32      ! This routine computes the eigenfunctions of the laplacian on the      ! This procedure computes the filtering coefficients for scalar
33      ! stretched grid, and the filtering coefficients. The modes are      ! lines and meridional wind v lines. The modes are filtered from
34      ! filtered from modfrst to iim.      ! modfrst to iim. We filter all those latitude lines where coefil
35        ! < 1. No filtering at poles. colat0 is to be used when alpha
36        ! (stretching coefficient) is set equal to zero for the regular
37        ! grid case.
38    
39      USE dimens_m, ONLY : iim, jjm      USE dimens_m, ONLY : iim, jjm
40      USE dynetat0_m, ONLY : rlatu, rlatv, xprimu, grossismx      USE dynetat0_m, ONLY : rlatu, rlatv, xprimu, grossismx
41      use inifgn_m, only: inifgn, eignfnu, eignfnv      use inifgn_m, only: inifgn
42      use jumble, only: new_unit      use jumble, only: new_unit
43      use nr_util, only: pi      use nr_util, only: pi
44    
45      ! Local:      ! Local:
46    
47      REAL dlatu(jjm)      REAL dlatu(jjm)
48      REAL rlamda(2: iim)      REAL rlamda(2: iim)
49      real eignvl(iim) ! eigenvalues      real eignvl(iim) ! eigenvalues sorted in descending order (<= 0)
50      REAL cof      INTEGER i, j, unit
51      INTEGER i, j, k, kf, unit      REAL colat0 ! > 0
52      REAL colat0      REAL eignft(iim, iim)
     REAL eignft(iim, iim), coff  
53    
54      ! Filtering coefficients (lamda_max * cos(rlat) / lamda):      real eignfnu(iim, iim), eignfnv(iim, iim)
55      real coefilu(iim, jjm), coefilv(iim, jjm)      ! eigenvectors of the discrete second derivative with respect to longitude
     real coefilu2(iim, jjm), coefilv2(iim, jjm)  
56    
57      integer modfrstu(jjm), modfrstv(jjm)      ! Filtering coefficients (lamda_max * cos(rlat) / lamda):
58      ! index of the mode from where modes are filtered      real, allocatable:: coefilnu(:, :) ! (iim, 2:jfiltnu)
59        real, allocatable:: coefilsu(:, :) ! (iim, jfiltsu:jjm)
60        real, allocatable:: coefilnv(:, :) ! (iim, jfiltnv)
61        real, allocatable:: coefilsv(:, :) ! (iim, jfiltsv:jjm)
62    
63        ! Index of the mode from where modes are filtered:
64        integer, allocatable:: modfrstnu(:) ! (2:jfiltnu)
65        integer, allocatable:: modfrstsu(:) ! (jfiltsu:jjm)
66        integer, allocatable:: modfrstnv(:) ! (jfiltnv)
67        integer, allocatable:: modfrstsv(:) ! (jfiltsv:jjm)
68    
69      !-----------------------------------------------------------      !-----------------------------------------------------------
70    
71      print *, "Call sequence information: inifilr"      print *, "Call sequence information: inifilr"
72    
73      CALL inifgn(eignvl)      CALL inifgn(eignvl, eignfnu, eignfnv)
   
     call new_unit(unit)  
     open(unit, file = "eignvl.txt", status = "replace", action = "write")  
     write(unit, fmt = *) EIGNVL  
     close(unit)  
   
     ! compute eigenvalues and eigenfunctions  
     ! compute the filtering coefficients for scalar lines and  
     ! meridional wind v-lines  
     ! we filter all those latitude lines where coefil < 1  
     ! NO FILTERING AT POLES  
     ! colat0 is to be used when alpha (stretching coefficient)  
     ! is set equal to zero for the regular grid case  
74    
75      ! Calcul de colat0      ! Calcul de colat0
76      forall (j = 1:jjm) dlatu(j) = rlatu(j) - rlatu(j + 1)      forall (j = 1:jjm) dlatu(j) = rlatu(j) - rlatu(j + 1)
77      colat0 = min(0.5, minval(dlatu) / minval(xprimu(:iim)))      colat0 = min(0.5, minval(dlatu) / minval(xprimu(:iim)))
78      PRINT *, 'colat0 = ', colat0      PRINT *, 'colat0 = ', colat0
79    
80      rlamda = iim / (pi * colat0 / grossismx) / sqrt(abs(eignvl(2: iim)))      rlamda = iim / (pi * colat0 / grossismx) / sqrt(- eignvl(2: iim))
     coefilu = 0.  
     coefilv = 0.  
     coefilu2 = 0.  
     coefilv2 = 0.  
   
     ! Determination de jfiltnu, jfiltnv, jfiltsu, jfiltsv  
   
     DO j = 2, jjm / 2 + 1  
        IF (cos(rlatu(j)) / colat0 < 1. &  
             .and. rlamda(iim) * cos(rlatu(j)) < 1.) jfiltnu = j  
   
        IF (cos(rlatu(jjm - j + 2)) / colat0 < 1. &  
             .and. rlamda(iim) * cos(rlatu(jjm - j + 2)) < 1.) &  
             jfiltsu = jjm - j + 2  
     END DO  
   
     DO j = 1, jjm / 2  
        IF (cos(rlatv(j)) / colat0 < 1. .and. rlamda(iim) * cos(rlatv(j)) < 1.) &  
             jfiltnv = j  
   
        IF (cos(rlatv(jjm - j + 1)) / colat0 < 1. .and. rlamda(iim) &  
             * cos(rlatv(jjm - j + 1)) < 1.) jfiltsv = jjm - j + 1  
     END DO  
   
     IF (jfiltnu <= 0) jfiltnu = 1  
     IF (jfiltnu > jjm / 2 + 1) THEN  
        PRINT *, 'jfiltnu en dehors des valeurs acceptables ', jfiltnu  
        STOP 1  
     END IF  
81    
82      IF (jfiltsu <= 0) jfiltsu = 1      ! Determination de jfiltnu, jfiltsu, jfiltnv, jfiltsv
     IF (jfiltsu > jjm + 1) THEN  
        PRINT *, 'jfiltsu en dehors des valeurs acceptables ', jfiltsu  
        STOP 1  
     END IF  
83    
84      IF (jfiltnv <= 0) jfiltnv = 1      jfiltnu = (jjm + 1) / 2
85      IF (jfiltnv > jjm / 2) THEN      do while (cos(rlatu(jfiltnu)) >= colat0 &
86         PRINT *, 'jfiltnv en dehors des valeurs acceptables ', jfiltnv           .or. rlamda(iim) * cos(rlatu(jfiltnu)) >= 1.)
87           jfiltnu = jfiltnu - 1
88        end do
89    
90        jfiltsu = jjm / 2 + 2
91        do while (cos(rlatu(jfiltsu)) >= colat0 &
92             .or. rlamda(iim) * cos(rlatu(jfiltsu)) >= 1.)
93           jfiltsu = jfiltsu + 1
94        end do
95    
96        jfiltnv = jjm / 2
97        do while ((cos(rlatv(jfiltnv)) >= colat0 &
98             .or. rlamda(iim) * cos(rlatv(jfiltnv)) >= 1.) .and. jfiltnv >= 2)
99           jfiltnv = jfiltnv - 1
100        end do
101    
102        if (cos(rlatv(jfiltnv)) >= colat0 &
103             .or. rlamda(iim) * cos(rlatv(jfiltnv)) >= 1.) then
104           ! {jfiltnv == 1}
105           PRINT *, 'Could not find jfiltnv.'
106         STOP 1         STOP 1
107      END IF      END IF
108    
109      IF (jfiltsv <= 0) jfiltsv = 1      jfiltsv = (jjm + 1)/ 2 + 1
110      IF (jfiltsv > jjm) THEN      do while ((cos(rlatv(jfiltsv)) >= colat0 &
111         PRINT *, 'jfiltsv en dehors des valeurs acceptables ', jfiltsv           .or. rlamda(iim) * cos(rlatv(jfiltsv)) >= 1.) .and. jfiltsv <= jjm - 1)
112           jfiltsv = jfiltsv + 1
113        end do
114    
115        IF (cos(rlatv(jfiltsv)) >= colat0 &
116             .or. rlamda(iim) * cos(rlatv(jfiltsv)) >= 1.) THEN
117           ! {jfiltsv == jjm}
118           PRINT *, 'Could not find jfiltsv.'
119         STOP 1         STOP 1
120      END IF      END IF
121    
122      PRINT *, 'jfiltnv jfiltsv jfiltnu jfiltsu ', jfiltnv, jfiltsv, jfiltnu, &      PRINT *, 'jfiltnu =', jfiltnu
123           jfiltsu      PRINT *, 'jfiltsu =', jfiltsu
124        PRINT *, 'jfiltnv =', jfiltnv
125      ! Determination de coefilu, coefilv, n=modfrstu, modfrstv      PRINT *, 'jfiltsv =', jfiltsv
126    
127      DO j = 1, jjm      ! D\'etermination de coefil[ns][uv], modfrst[ns][uv]:
128         modfrstu(j) = iim  
129         modfrstv(j) = iim      allocate(modfrstnu(2:jfiltnu), modfrstsu(jfiltsu:jjm))
130      END DO      allocate(modfrstnv(jfiltnv), modfrstsv(jfiltsv:jjm))
131        allocate(coefilnu(iim, 2:jfiltnu), coefilsu(iim, jfiltsu:jjm))
132        allocate(coefilnv(iim, jfiltnv), coefilsv(iim, jfiltsv:jjm))
133    
134        coefilnu = 0.
135        coefilnv = 0.
136        coefilsu = 0.
137        coefilsv = 0.
138    
139      DO j = 2, jfiltnu      DO j = 2, jfiltnu
140         DO k = 2, iim         modfrstnu(j) = 2
141            IF (rlamda(k) * cos(rlatu(j)) < 1.) exit         do while (rlamda(modfrstnu(j)) * cos(rlatu(j)) >= 1. &
142         end DO              .and. modfrstnu(j) <= iim - 1)
143         if (k == iim + 1) cycle            modfrstnu(j) = modfrstnu(j) + 1
144         modfrstu(j) = k         end do
145    
146         kf = modfrstu(j)         if (rlamda(modfrstnu(j)) * cos(rlatu(j)) < 1.) then
147         DO k = kf, iim            DO i = modfrstnu(j), iim
148            cof = rlamda(k) * cos(rlatu(j))               coefilnu(i, j) = rlamda(i) * cos(rlatu(j)) - 1.
149            coefilu(k, j) = cof - 1.            end DO
150            coefilu2(k, j) = cof**2 - 1.         end if
        end DO  
151      END DO      END DO
152    
153      DO j = 1, jfiltnv      DO j = 1, jfiltnv
154         DO k = 2, iim         modfrstnv(j) = 2
155            IF (rlamda(k) * cos(rlatv(j)) < 1.) exit         do while (rlamda(modfrstnv(j)) * cos(rlatv(j)) >= 1. &
156         end DO              .and. modfrstnv(j) <= iim - 1)
157         if (k == iim + 1) cycle            modfrstnv(j) = modfrstnv(j) + 1
158         modfrstv(j) = k         end do
159    
160         kf = modfrstv(j)         if (rlamda(modfrstnv(j)) * cos(rlatv(j)) < 1.) then
161         DO k = kf, iim            DO i = modfrstnv(j), iim
162            cof = rlamda(k) * cos(rlatv(j))               coefilnv(i, j) = rlamda(i) * cos(rlatv(j)) - 1.
163            coefilv(k, j) = cof - 1.            end DO
164            coefilv2(k, j) = cof**2 - 1.         end if
        end DO  
165      end DO      end DO
166    
167      DO j = jfiltsu, jjm      DO j = jfiltsu, jjm
168         DO k = 2, iim         modfrstsu(j) = 2
169            IF (rlamda(k) * cos(rlatu(j)) < 1.) exit         do while (rlamda(modfrstsu(j)) * cos(rlatu(j)) >= 1. &
170         end DO              .and. modfrstsu(j) <= iim - 1)
171         if (k == iim + 1) cycle            modfrstsu(j) = modfrstsu(j) + 1
172         modfrstu(j) = k         end do
173    
174         kf = modfrstu(j)         if (rlamda(modfrstsu(j)) * cos(rlatu(j)) < 1.) then
175         DO k = kf, iim            DO i = modfrstsu(j), iim
176            cof = rlamda(k) * cos(rlatu(j))               coefilsu(i, j) = rlamda(i) * cos(rlatu(j)) - 1.
177            coefilu(k, j) = cof - 1.            end DO
178            coefilu2(k, j) = cof**2 - 1.         end if
        end DO  
179      end DO      end DO
180    
181      DO j = jfiltsv, jjm      DO j = jfiltsv, jjm
182         DO k = 2, iim         modfrstsv(j) = 2
183            IF (rlamda(k) * cos(rlatv(j)) < 1.) exit         do while (rlamda(modfrstsv(j)) * cos(rlatv(j)) >= 1. &
184         end DO              .and. modfrstsv(j) <= iim - 1)
185         if (k == iim + 1) cycle            modfrstsv(j) = modfrstsv(j) + 1
186         modfrstv(j) = k         end do
187    
188         kf = modfrstv(j)         if (rlamda(modfrstsv(j)) * cos(rlatv(j)) < 1.) then
189         DO k = kf, iim            DO i = modfrstsv(j), iim
190            cof = rlamda(k) * cos(rlatv(j))               coefilsv(i, j) = rlamda(i) * cos(rlatv(j)) - 1.
191            coefilv(k, j) = cof - 1.            end DO
192            coefilv2(k, j) = cof**2 - 1.         end if
        end DO  
193      END DO      END DO
194    
195      IF (jfiltnv>=jjm / 2 .OR. jfiltnu>=jjm / 2) THEN      call new_unit(unit)
196         IF (jfiltnv == jfiltsv) jfiltsv = 1 + jfiltnv      open(unit, file = "inifilr_out.txt", status = "replace", action = "write")
197         IF (jfiltnu == jfiltsu) jfiltsu = 1 + jfiltnu      write(unit, fmt = *) '"EIGNVL"', eignvl
198        write(unit, fmt = *) '"modfrstnu"', modfrstnu
199         PRINT *, 'jfiltnv jfiltsv jfiltnu jfiltsu', jfiltnv, jfiltsv, jfiltnu, &      write(unit, fmt = *) '"modfrstsu"', modfrstsu
200              jfiltsu      write(unit, fmt = *) '"modfrstnv"', modfrstnv
201      END IF      write(unit, fmt = *) '"modfrstsv"', modfrstsv
202        close(unit)
     PRINT *, 'Modes premiers v '  
     PRINT 334, modfrstv  
     PRINT *, 'Modes premiers u '  
     PRINT 334, modfrstu  
203    
204      allocate(matriceun(iim, iim, 2:jfiltnu), matrinvn(iim, iim, 2:jfiltnu))      allocate(matriceun(iim, iim, 2:jfiltnu), matrinvn(iim, iim, 2:jfiltnu))
205      allocate(matricevn(iim, iim, jfiltnv))      allocate(matricevn(iim, iim, jfiltnv))
# Line 216  contains Line 210  contains
210      ! sur la grille scalaire      ! sur la grille scalaire
211    
212      DO j = 2, jfiltnu      DO j = 2, jfiltnu
213         DO i = 1, iim         eignft(:modfrstnu(j) - 1, :) = 0.
214            IF (i < modfrstu(j)) then         forall (i = modfrstnu(j):iim) eignft(i, :) = eignfnv(:, i) &
215               coff = 0.              * coefilnu(i, j)
           else  
              coff = coefilu(i, j)  
           end IF  
           eignft(i, :) = eignfnv(:, i) * coff  
        END DO  
216         matriceun(:, :, j) = matmul(eignfnv, eignft)         matriceun(:, :, j) = matmul(eignfnv, eignft)
217      END DO      END DO
218    
219      DO j = jfiltsu, jjm      DO j = jfiltsu, jjm
220         DO i = 1, iim         eignft(:modfrstsu(j) - 1, :) = 0.
221            IF (i < modfrstu(j)) then         forall (i = modfrstsu(j):iim) eignft(i, :) = eignfnv(:, i) &
222               coff = 0.              * coefilsu(i, j)
           else  
              coff = coefilu(i, j)  
           end IF  
           eignft(i, :) = eignfnv(:, i) * coff  
        END DO  
223         matriceus(:, :, j) = matmul(eignfnv, eignft)         matriceus(:, :, j) = matmul(eignfnv, eignft)
224      END DO      END DO
225    
# Line 243  contains Line 227  contains
227      ! sur la grille de V ou de Z      ! sur la grille de V ou de Z
228    
229      DO j = 1, jfiltnv      DO j = 1, jfiltnv
230         DO i = 1, iim         eignft(:modfrstnv(j) - 1, :) = 0.
231            IF (i < modfrstv(j)) then         forall (i = modfrstnv(j): iim) eignft(i, :) = eignfnu(:, i) &
232               coff = 0.              * coefilnv(i, j)
           else  
              coff = coefilv(i, j)  
           end IF  
           eignft(i, :) = eignfnu(:, i) * coff  
        END DO  
233         matricevn(:, :, j) = matmul(eignfnu, eignft)         matricevn(:, :, j) = matmul(eignfnu, eignft)
234      END DO      END DO
235    
236      DO j = jfiltsv, jjm      DO j = jfiltsv, jjm
237         DO i = 1, iim         eignft(:modfrstsv(j) - 1, :) = 0.
238            IF (i < modfrstv(j)) then         forall (i = modfrstsv(j):iim) eignft(i, :) = eignfnu(:, i) &
239               coff = 0.              * coefilsv(i, j)
           else  
              coff = coefilv(i, j)  
           end IF  
           eignft(i, :) = eignfnu(:, i) * coff  
        END DO  
240         matricevs(:, :, j) = matmul(eignfnu, eignft)         matricevs(:, :, j) = matmul(eignfnu, eignft)
241      END DO      END DO
242    
# Line 270  contains Line 244  contains
244      ! sur la grille scalaire , pour le filtre inverse      ! sur la grille scalaire , pour le filtre inverse
245    
246      DO j = 2, jfiltnu      DO j = 2, jfiltnu
247         DO i = 1, iim         eignft(:modfrstnu(j) - 1, :) = 0.
248            IF (i < modfrstu(j)) then         forall (i = modfrstnu(j):iim) eignft(i, :) = eignfnv(:, i) &
249               coff = 0.              * coefilnu(i, j) / (1. + coefilnu(i, j))
           else  
              coff = coefilu(i, j) / (1. + coefilu(i, j))  
           end IF  
           eignft(i, :) = eignfnv(:, i) * coff  
        END DO  
250         matrinvn(:, :, j) = matmul(eignfnv, eignft)         matrinvn(:, :, j) = matmul(eignfnv, eignft)
251      END DO      END DO
252    
253      DO j = jfiltsu, jjm      DO j = jfiltsu, jjm
254         DO i = 1, iim         eignft(:modfrstsu(j) - 1, :) = 0.
255            IF (i < modfrstu(j)) then         forall (i = modfrstsu(j):iim) eignft(i, :) = eignfnv(:, i) &
256               coff = 0.              * coefilsu(i, j) / (1. + coefilsu(i, j))
           else  
              coff = coefilu(i, j) / (1. + coefilu(i, j))  
           end IF  
           eignft(i, :) = eignfnv(:, i) * coff  
        END DO  
257         matrinvs(:, :, j) = matmul(eignfnv, eignft)         matrinvs(:, :, j) = matmul(eignfnv, eignft)
258      END DO      END DO
259    
 334 FORMAT (1X, 24I3)  
   
260    END SUBROUTINE inifilr    END SUBROUTINE inifilr
261    
262  end module inifilr_m  end module inifilr_m
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