trunk/filtrez/inifilr.f

module inifilr_m

  IMPLICIT NONE

  INTEGER jfiltnu, jfiltsu, jfiltnv, jfiltsv
  ! jfiltn index of the last scalar line filtered in NH
  ! jfilts index of the first line filtered in SH

  ! North:
  real, allocatable:: matriceun(:, :, :), matrinvn(:, :, :) 
  ! (iim, iim, 2:jfiltnu)

  real, allocatable:: matricevn(:, :, :) ! (iim, iim, jfiltnv)

  ! South:
  real, allocatable:: matriceus(:, :, :), matrinvs(:, :, :)
  ! (iim, iim, jfiltsu:jjm)

  real, allocatable:: matricevs(:, :, :) ! (iim, iim, jfiltsv:jjm)

contains

  SUBROUTINE inifilr

    ! From filtrez/inifilr.F, version 1.1.1.1 2004/05/19 12:53:09
    ! H. Upadhyaya, O. Sharma

    ! This routine computes the eigenfunctions of the laplacian on the
    ! stretched grid, and the filtering coefficients. The modes are
    ! filtered from modfrst to iim.

    USE dimens_m, ONLY : iim, jjm
    USE dynetat0_m, ONLY : rlatu, rlatv, xprimu, grossismx
    use inifgn_m, only: inifgn, eignfnu, eignfnv
    use jumble, only: new_unit
    use nr_util, only: pi

    ! Local:
    REAL dlatu(jjm)
    REAL rlamda(2: iim)
    real eignvl(iim) ! eigenvalues sorted in descending order
    REAL cof
    INTEGER i, j, k, unit
    REAL colat0 ! > 0
    REAL eignft(iim, iim), coff

    ! Filtering coefficients (lamda_max * cos(rlat) / lamda):
    real coefilu(iim, jjm), coefilv(iim, jjm)
    real coefilu2(iim, jjm), coefilv2(iim, jjm)

    ! Index of the mode from where modes are filtered:
    integer, allocatable:: modfrstnu(:), modfrstsu(:)
    integer, allocatable:: modfrstnv(:), modfrstsv(:)

    !-----------------------------------------------------------

    print *, "Call sequence information: inifilr"

    CALL inifgn(eignvl)

    ! 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

    ! Calcul de colat0
    forall (j = 1:jjm) dlatu(j) = rlatu(j) - rlatu(j + 1)
    colat0 = min(0.5, minval(dlatu) / minval(xprimu(:iim)))
    PRINT *, 'colat0 = ', colat0

    rlamda = iim / (pi * colat0 / grossismx) / sqrt(abs(eignvl(2: iim)))

    ! Determination de jfiltnu, jfiltsu, jfiltnv, jfiltsv

    jfiltnu = (jjm + 1) / 2
    do while (cos(rlatu(jfiltnu)) >= colat0 &
         .or. rlamda(iim) * cos(rlatu(jfiltnu)) >= 1.)
       jfiltnu = jfiltnu - 1
    end do

    jfiltsu = jjm / 2 + 2
    do while (cos(rlatu(jfiltsu)) >= colat0 &
         .or. rlamda(iim) * cos(rlatu(jfiltsu)) >= 1.)
       jfiltsu = jfiltsu + 1
    end do

    jfiltnv = jjm / 2
    do while ((cos(rlatv(jfiltnv)) >= colat0 &
         .or. rlamda(iim) * cos(rlatv(jfiltnv)) >= 1.) .and. jfiltnv >= 2)
       jfiltnv = jfiltnv - 1
    end do

    if (cos(rlatv(jfiltnv)) >= colat0 &
         .or. rlamda(iim) * cos(rlatv(jfiltnv)) >= 1.) then
       ! {jfiltnv == 1}
       PRINT *, 'Could not find jfiltnv.'
       STOP 1
    END IF

    jfiltsv = (jjm + 1)/ 2 + 1
    do while ((cos(rlatv(jfiltsv)) >= colat0 &
         .or. rlamda(iim) * cos(rlatv(jfiltsv)) >= 1.) .and. jfiltsv <= jjm - 1)
       jfiltsv = jfiltsv + 1
    end do

    IF (cos(rlatv(jfiltsv)) >= colat0 &
         .or. rlamda(iim) * cos(rlatv(jfiltsv)) >= 1.) THEN
       ! {jfiltsv == jjm}
       PRINT *, 'Could not find jfiltsv.'
       STOP 1
    END IF

    PRINT *, 'jfiltnu =', jfiltnu
    PRINT *, 'jfiltsu =', jfiltsu
    PRINT *, 'jfiltnv =', jfiltnv
    PRINT *, 'jfiltsv =', jfiltsv

    ! Determination de coefilu, coefilv, modfrst[ns][uv]:

    allocate(modfrstnu(2:jfiltnu), modfrstsu(jfiltsu:jjm))
    allocate(modfrstnv(jfiltnv), modfrstsv(jfiltsv:jjm))
    coefilu = 0.
    coefilv = 0.
    coefilu2 = 0.
    coefilv2 = 0.

    DO j = 2, jfiltnu
       modfrstnu(j) = 2
       do while (rlamda(modfrstnu(j)) * cos(rlatu(j)) >= 1. &
            .and. modfrstnu(j) <= iim - 1)
          modfrstnu(j) = modfrstnu(j) + 1
       end do

       if (rlamda(modfrstnu(j)) * cos(rlatu(j)) < 1.) then
          DO k = modfrstnu(j), iim
             cof = rlamda(k) * cos(rlatu(j))
             coefilu(k, j) = cof - 1.
             coefilu2(k, j) = cof**2 - 1.
          end DO
       end if
    END DO

    DO j = 1, jfiltnv
       modfrstnv(j) = 2
       do while (rlamda(modfrstnv(j)) * cos(rlatv(j)) >= 1. &
            .and. modfrstnv(j) <= iim - 1)
          modfrstnv(j) = modfrstnv(j) + 1
       end do

       if (rlamda(modfrstnv(j)) * cos(rlatv(j)) < 1.) then
          DO k = modfrstnv(j), iim
             cof = rlamda(k) * cos(rlatv(j))
             coefilv(k, j) = cof - 1.
             coefilv2(k, j) = cof**2 - 1.
          end DO
       end if
    end DO

    DO j = jfiltsu, jjm
       modfrstsu(j) = 2
       do while (rlamda(modfrstsu(j)) * cos(rlatu(j)) >= 1. &
            .and. modfrstsu(j) <= iim - 1)
          modfrstsu(j) = modfrstsu(j) + 1
       end do

       if (rlamda(modfrstsu(j)) * cos(rlatu(j)) < 1.) then
          DO k = modfrstsu(j), iim
             cof = rlamda(k) * cos(rlatu(j))
             coefilu(k, j) = cof - 1.
             coefilu2(k, j) = cof**2 - 1.
          end DO
       end if
    end DO

    DO j = jfiltsv, jjm
       modfrstsv(j) = 2
       do while (rlamda(modfrstsv(j)) * cos(rlatv(j)) >= 1. &
            .and. modfrstsv(j) <= iim - 1)
          modfrstsv(j) = modfrstsv(j) + 1
       end do

       if (rlamda(modfrstsv(j)) * cos(rlatv(j)) < 1.) then
          DO k = modfrstsv(j), iim
             cof = rlamda(k) * cos(rlatv(j))
             coefilv(k, j) = cof - 1.
             coefilv2(k, j) = cof**2 - 1.
          end DO
       end if
    END DO

    call new_unit(unit)
    open(unit, file = "inifilr_out.txt", status = "replace", action = "write") 
    write(unit, fmt = *) '"EIGNVL"', eignvl
    write(unit, fmt = *) '"modfrstnu"', modfrstnu
    write(unit, fmt = *) '"modfrstsu"', modfrstsu
    write(unit, fmt = *) '"modfrstnv"', modfrstnv
    write(unit, fmt = *) '"modfrstsv"', modfrstsv
    close(unit)

    allocate(matriceun(iim, iim, 2:jfiltnu), matrinvn(iim, iim, 2:jfiltnu))
    allocate(matricevn(iim, iim, jfiltnv))
    allocate(matricevs(iim, iim, jfiltsv:jjm))
    allocate(matriceus(iim, iim, jfiltsu:jjm), matrinvs(iim, iim, jfiltsu:jjm))

    ! Calcul de la matrice filtre 'matriceu' pour les champs situes
    ! sur la grille scalaire

    DO j = 2, jfiltnu
       DO i = 1, iim
          IF (i < modfrstnu(j)) then
             coff = 0.
          else
             coff = coefilu(i, j)
          end IF
          eignft(i, :) = eignfnv(:, i) * coff
       END DO
       matriceun(:, :, j) = matmul(eignfnv, eignft)
    END DO

    DO j = jfiltsu, jjm
       DO i = 1, iim
          IF (i < modfrstsu(j)) then
             coff = 0.
          else
             coff = coefilu(i, j)
          end IF
          eignft(i, :) = eignfnv(:, i) * coff
       END DO
       matriceus(:, :, j) = matmul(eignfnv, eignft)
    END DO

    ! Calcul de la matrice filtre 'matricev' pour les champs situes
    ! sur la grille de V ou de Z

    DO j = 1, jfiltnv
       DO i = 1, iim
          IF (i < modfrstnv(j)) then
             coff = 0.
          else
             coff = coefilv(i, j)
          end IF
          eignft(i, :) = eignfnu(:, i) * coff
       END DO
       matricevn(:, :, j) = matmul(eignfnu, eignft)
    END DO

    DO j = jfiltsv, jjm
       DO i = 1, iim
          IF (i < modfrstsv(j)) then
             coff = 0.
          else
             coff = coefilv(i, j)
          end IF
          eignft(i, :) = eignfnu(:, i) * coff
       END DO
       matricevs(:, :, j) = matmul(eignfnu, eignft)
    END DO

    ! Calcul de la matrice filtre 'matrinv' pour les champs situes
    ! sur la grille scalaire , pour le filtre inverse

    DO j = 2, jfiltnu
       DO i = 1, iim
          IF (i < modfrstnu(j)) then
             coff = 0.
          else
             coff = coefilu(i, j) / (1. + coefilu(i, j))
          end IF
          eignft(i, :) = eignfnv(:, i) * coff
       END DO
       matrinvn(:, :, j) = matmul(eignfnv, eignft)
    END DO

    DO j = jfiltsu, jjm
       DO i = 1, iim
          IF (i < modfrstsu(j)) then
             coff = 0.
          else
             coff = coefilu(i, j) / (1. + coefilu(i, j))
          end IF
          eignft(i, :) = eignfnv(:, i) * coff
       END DO
       matrinvs(:, :, j) = matmul(eignfnv, eignft)
    END DO

  END SUBROUTINE inifilr

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