/[lmdze]/trunk/Sources/filtrez/inifilr.f
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revision 163 by guez, Thu Jul 16 17:39:10 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    
# Line 15  module inifilr_m Line 14  module inifilr_m
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 24  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 eigenvectors 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
# Line 38  contains Line 43  contains
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 sorted in descending order      real eignvl(iim) ! eigenvalues sorted in descending order (<= 0)
50      REAL cof      INTEGER i, j, unit
     INTEGER i, j, k, unit  
51      REAL colat0 ! > 0      REAL colat0 ! > 0
52      REAL eignft(iim, iim), coff      REAL eignft(iim, iim)
53    
54      real eignfnu(iim, iim), eignfnv(iim, iim)      real eignfnu(iim, iim), eignfnv(iim, iim)
55      ! eigenvectors of the discrete laplacian      ! eigenvectors of the discrete second derivative with respect to longitude
56    
57      ! Filtering coefficients (lamda_max * cos(rlat) / lamda):      ! Filtering coefficients (lamda_max * cos(rlat) / lamda):
58      real coefilu(iim, jjm), coefilv(iim, jjm)      real, allocatable:: coefilnu(:, :) ! (iim, 2:jfiltnu)
59      real coefilu2(iim, jjm), coefilv2(iim, jjm)      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:      ! Index of the mode from where modes are filtered:
64      integer, allocatable:: modfrstnu(:), modfrstsu(:)      integer, allocatable:: modfrstnu(:) ! (2:jfiltnu)
65      integer, allocatable:: modfrstnv(:), modfrstsv(:)      integer, allocatable:: modfrstsu(:) ! (jfiltsu:jjm)
66        integer, allocatable:: modfrstnv(:) ! (jfiltnv)
67        integer, allocatable:: modfrstsv(:) ! (jfiltsv:jjm)
68    
69      !-----------------------------------------------------------      !-----------------------------------------------------------
70    
# Line 63  contains Line 72  contains
72    
73      CALL inifgn(eignvl, eignfnu, eignfnv)      CALL inifgn(eignvl, eignfnu, eignfnv)
74    
     ! compute eigenvalues and eigenvectors  
     ! 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  
   
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))
81    
82      ! Determination de jfiltnu, jfiltsu, jfiltnv, jfiltsv      ! Determination de jfiltnu, jfiltsu, jfiltnv, jfiltsv
83    
# Line 123  contains Line 124  contains
124      PRINT *, 'jfiltnv =', jfiltnv      PRINT *, 'jfiltnv =', jfiltnv
125      PRINT *, 'jfiltsv =', jfiltsv      PRINT *, 'jfiltsv =', jfiltsv
126    
127      ! Determination de coefilu, coefilv, modfrst[ns][uv]:      ! D\'etermination de coefil[ns][uv], modfrst[ns][uv]:
128    
129      allocate(modfrstnu(2:jfiltnu), modfrstsu(jfiltsu:jjm))      allocate(modfrstnu(2:jfiltnu), modfrstsu(jfiltsu:jjm))
130      allocate(modfrstnv(jfiltnv), modfrstsv(jfiltsv:jjm))      allocate(modfrstnv(jfiltnv), modfrstsv(jfiltsv:jjm))
131      coefilu = 0.      allocate(coefilnu(iim, 2:jfiltnu), coefilsu(iim, jfiltsu:jjm))
132      coefilv = 0.      allocate(coefilnv(iim, jfiltnv), coefilsv(iim, jfiltsv:jjm))
133      coefilu2 = 0.  
134      coefilv2 = 0.      coefilnu = 0.
135        coefilnv = 0.
136        coefilsu = 0.
137        coefilsv = 0.
138    
139      DO j = 2, jfiltnu      DO j = 2, jfiltnu
140         modfrstnu(j) = 2         modfrstnu(j) = 2
# Line 140  contains Line 144  contains
144         end do         end do
145    
146         if (rlamda(modfrstnu(j)) * cos(rlatu(j)) < 1.) then         if (rlamda(modfrstnu(j)) * cos(rlatu(j)) < 1.) then
147            DO k = modfrstnu(j), iim            DO i = modfrstnu(j), iim
148               cof = rlamda(k) * cos(rlatu(j))               coefilnu(i, j) = rlamda(i) * cos(rlatu(j)) - 1.
              coefilu(k, j) = cof - 1.  
              coefilu2(k, j) = cof**2 - 1.  
149            end DO            end DO
150         end if         end if
151      END DO      END DO
# Line 156  contains Line 158  contains
158         end do         end do
159    
160         if (rlamda(modfrstnv(j)) * cos(rlatv(j)) < 1.) then         if (rlamda(modfrstnv(j)) * cos(rlatv(j)) < 1.) then
161            DO k = modfrstnv(j), iim            DO i = modfrstnv(j), iim
162               cof = rlamda(k) * cos(rlatv(j))               coefilnv(i, j) = rlamda(i) * cos(rlatv(j)) - 1.
              coefilv(k, j) = cof - 1.  
              coefilv2(k, j) = cof**2 - 1.  
163            end DO            end DO
164         end if         end if
165      end DO      end DO
# Line 172  contains Line 172  contains
172         end do         end do
173    
174         if (rlamda(modfrstsu(j)) * cos(rlatu(j)) < 1.) then         if (rlamda(modfrstsu(j)) * cos(rlatu(j)) < 1.) then
175            DO k = modfrstsu(j), iim            DO i = modfrstsu(j), iim
176               cof = rlamda(k) * cos(rlatu(j))               coefilsu(i, j) = rlamda(i) * cos(rlatu(j)) - 1.
              coefilu(k, j) = cof - 1.  
              coefilu2(k, j) = cof**2 - 1.  
177            end DO            end DO
178         end if         end if
179      end DO      end DO
# Line 188  contains Line 186  contains
186         end do         end do
187    
188         if (rlamda(modfrstsv(j)) * cos(rlatv(j)) < 1.) then         if (rlamda(modfrstsv(j)) * cos(rlatv(j)) < 1.) then
189            DO k = modfrstsv(j), iim            DO i = modfrstsv(j), iim
190               cof = rlamda(k) * cos(rlatv(j))               coefilsv(i, j) = rlamda(i) * cos(rlatv(j)) - 1.
              coefilv(k, j) = cof - 1.  
              coefilv2(k, j) = cof**2 - 1.  
191            end DO            end DO
192         end if         end if
193      END DO      END DO
# Line 214  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 < modfrstnu(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 < modfrstsu(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 241  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 < modfrstnv(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 < modfrstsv(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 268  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 < modfrstnu(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 < modfrstsu(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    
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