trunk/dyn3d/leapfrog.f

module leapfrog_m

  IMPLICIT NONE

contains

  SUBROUTINE leapfrog(ucov, vcov, teta, ps, masse, phis, q, time_0)

    ! From dyn3d/leapfrog.F, version 1.6, 2005/04/13 08:58:34
    ! Authors: P. Le Van, L. Fairhead, F. Hourdin
    ! schema matsuno + leapfrog

    USE calfis_m, ONLY: calfis
    USE com_io_dyn, ONLY: histaveid
    USE comconst, ONLY: daysec, dtphys, dtvr
    USE comgeom, ONLY: aire_2d, apoln, apols
    USE comvert, ONLY: ap, bp
    USE conf_gcm_m, ONLY: day_step, iconser, iperiod, iphysiq, nday, offline, &
         periodav
    USE dimens_m, ONLY: iim, jjm, llm, nqmx
    USE dynetat0_m, ONLY: day_ini
    use dynredem1_m, only: dynredem1
    USE exner_hyb_m, ONLY: exner_hyb
    use filtreg_m, only: filtreg
    USE guide_m, ONLY: guide
    use inidissip_m, only: idissip
    use integrd_m, only: integrd
    USE logic, ONLY: iflag_phys, ok_guide
    USE paramet_m, ONLY: ip1jmp1
    USE pression_m, ONLY: pression
    USE pressure_var, ONLY: p3d
    USE temps, ONLY: itau_dyn

    ! Variables dynamiques:
    REAL, intent(inout):: vcov((iim + 1) * jjm, llm) ! vent covariant
    REAL, intent(inout):: ucov(ip1jmp1, llm) ! vent covariant
    REAL, intent(inout):: teta(iim + 1, jjm + 1, llm) ! potential temperature
    REAL ps(iim + 1, jjm + 1) ! pression au sol, en Pa

    REAL masse(ip1jmp1, llm) ! masse d'air
    REAL phis(ip1jmp1) ! geopotentiel au sol
    REAL q(ip1jmp1, llm, nqmx) ! mass fractions of advected fields
    REAL, intent(in):: time_0

    ! Variables local to the procedure:

    ! Variables dynamiques:

    REAL pks(ip1jmp1) ! exner au sol
    REAL pk(iim + 1, jjm + 1, llm) ! exner au milieu des couches
    REAL pkf(ip1jmp1, llm) ! exner filt.au milieu des couches
    REAL phi(ip1jmp1, llm) ! geopotential
    REAL w(ip1jmp1, llm) ! vitesse verticale

    ! variables dynamiques intermediaire pour le transport
    REAL pbaru(ip1jmp1, llm), pbarv((iim + 1) * jjm, llm) !flux de masse

    ! variables dynamiques au pas - 1
    REAL vcovm1((iim + 1) * jjm, llm), ucovm1(ip1jmp1, llm)
    REAL tetam1(iim + 1, jjm + 1, llm), psm1(iim + 1, jjm + 1)
    REAL massem1(ip1jmp1, llm)

    ! tendances dynamiques
    REAL dv((iim + 1) * jjm, llm), du(ip1jmp1, llm)
    REAL dteta(ip1jmp1, llm), dq(ip1jmp1, llm, nqmx), dp(ip1jmp1)

    ! tendances de la dissipation
    REAL dvdis((iim + 1) * jjm, llm), dudis(ip1jmp1, llm)
    REAL dtetadis(iim + 1, jjm + 1, llm)

    ! tendances physiques
    REAL dvfi((iim + 1) * jjm, llm), dufi(ip1jmp1, llm)
    REAL dtetafi(ip1jmp1, llm), dqfi(ip1jmp1, llm, nqmx), dpfi(ip1jmp1)

    ! variables pour le fichier histoire

    INTEGER itau ! index of the time step of the dynamics, starts at 0
    INTEGER itaufin
    INTEGER iday ! jour julien
    REAL time ! time of day, as a fraction of day length
    real finvmaold(ip1jmp1, llm)
    LOGICAL:: lafin=.false.
    INTEGER i, j, l

    REAL rdayvrai, rdaym_ini

    ! Variables test conservation energie
    REAL ecin(iim + 1, jjm + 1, llm), ecin0(iim + 1, jjm + 1, llm)
    ! Tendance de la temp. potentiel d (theta) / d t due a la 
    ! tansformation d'energie cinetique en energie thermique
    ! cree par la dissipation
    REAL dtetaecdt(iim + 1, jjm + 1, llm)
    REAL vcont((iim + 1) * jjm, llm), ucont(ip1jmp1, llm)

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

    print *, "Call sequence information: leapfrog"

    itaufin = nday * day_step
    ! "day_step" is a multiple of "iperiod", therefore "itaufin" is one too

    itau = 0
    iday = day_ini
    time = time_0
    dq = 0.
    ! On initialise la pression et la fonction d'Exner :
    CALL pression(ip1jmp1, ap, bp, ps, p3d)
    CALL exner_hyb(ps, p3d, pks, pk, pkf)

    ! Début de l'integration temporelle :
    period_loop:do i = 1, itaufin / iperiod
       ! {"itau" is a multiple of "iperiod"}

       ! 1. Matsuno forward:

       if (ok_guide .and. (itaufin - itau - 1) * dtvr > 21600.) &
            call guide(itau, ucov, vcov, teta, q, masse, ps)
       vcovm1 = vcov
       ucovm1 = ucov
       tetam1 = teta
       massem1 = masse
       psm1 = ps
       finvmaold = masse
       CALL filtreg(finvmaold, jjm + 1, llm, - 2, 2, .TRUE., 1)

       ! Calcul des tendances dynamiques:
       CALL geopot(ip1jmp1, teta, pk, pks, phis, phi)
       CALL caldyn(itau, ucov, vcov, teta, ps, masse, pk, pkf, phis, phi, &
            MOD(itau, iconser) == 0, du, dv, dteta, dp, w, pbaru, pbarv, &
            time + iday - day_ini)

       ! Calcul des tendances advection des traceurs (dont l'humidité)
       CALL caladvtrac(q, pbaru, pbarv, p3d, masse, dq, teta, pk)
       ! Stokage du flux de masse pour traceurs offline:
       IF (offline) CALL fluxstokenc(pbaru, pbarv, masse, teta, phi, phis, &
            dtvr, itau)

       ! integrations dynamique et traceurs:
       CALL integrd(2, vcovm1, ucovm1, tetam1, psm1, massem1, dv, du, dteta, &
            dp, vcov, ucov, teta, q, ps, masse, finvmaold, .false., &
            dtvr)

       CALL pression(ip1jmp1, ap, bp, ps, p3d)
       CALL exner_hyb(ps, p3d, pks, pk, pkf)

       ! 2. Matsuno backward:

       itau = itau + 1
       iday = day_ini + itau / day_step
       time = REAL(itau - (iday - day_ini) * day_step) / day_step + time_0
       IF (time > 1.) THEN
          time = time - 1.
          iday = iday + 1
       ENDIF

       ! Calcul des tendances dynamiques:
       CALL geopot(ip1jmp1, teta, pk, pks, phis, phi)
       CALL caldyn(itau, ucov, vcov, teta, ps, masse, pk, pkf, phis, phi, &
            .false., du, dv, dteta, dp, w, pbaru, pbarv, time + iday - day_ini)

       ! integrations dynamique et traceurs:
       CALL integrd(2, vcovm1, ucovm1, tetam1, psm1, massem1, dv, du, dteta, &
            dp, vcov, ucov, teta, q, ps, masse, finvmaold, .false., &
            dtvr)

       CALL pression(ip1jmp1, ap, bp, ps, p3d)
       CALL exner_hyb(ps, p3d, pks, pk, pkf)

       ! 3. Leapfrog:

       leapfrog_loop: do j = 1, iperiod - 1
          ! Calcul des tendances dynamiques:
          CALL geopot(ip1jmp1, teta, pk, pks, phis, phi)
          CALL caldyn(itau, ucov, vcov, teta, ps, masse, pk, pkf, phis, phi, &
               .false., du, dv, dteta, dp, w, pbaru, pbarv, &
               time + iday - day_ini)

          ! Calcul des tendances advection des traceurs (dont l'humidité)
          CALL caladvtrac(q, pbaru, pbarv, p3d, masse, dq, teta, pk)
          ! Stokage du flux de masse pour traceurs off-line:
          IF (offline) CALL fluxstokenc(pbaru, pbarv, masse, teta, phi, phis, &
               dtvr, itau)

          ! integrations dynamique et traceurs:
          CALL integrd(2, vcovm1, ucovm1, tetam1, psm1, massem1, dv, du, &
               dteta, dp, vcov, ucov, teta, q, ps, masse, &
               finvmaold, .true., 2 * dtvr)

          IF (MOD(itau + 1, iphysiq) == 0 .AND. iflag_phys /= 0) THEN
             ! calcul des tendances physiques:
             IF (itau + 1 == itaufin) lafin = .TRUE.

             CALL pression(ip1jmp1, ap, bp, ps, p3d)
             CALL exner_hyb(ps, p3d, pks, pk, pkf)

             rdaym_ini = itau * dtvr / daysec
             rdayvrai = rdaym_ini + day_ini

             CALL calfis(nqmx, lafin, rdayvrai, time, ucov, vcov, teta, q, &
                  masse, ps, pk, phis, phi, du, dv, dteta, dq, w, &
                  dufi, dvfi, dtetafi, dqfi, dpfi)

             ! ajout des tendances physiques:
             CALL addfi(nqmx, dtphys, ucov, vcov, teta, q, ps, dufi, dvfi, &
                  dtetafi, dqfi, dpfi)
          ENDIF

          CALL pression(ip1jmp1, ap, bp, ps, p3d)
          CALL exner_hyb(ps, p3d, pks, pk, pkf)

          IF (MOD(itau + 1, idissip) == 0) THEN
             ! dissipation horizontale et verticale des petites echelles:

             ! calcul de l'energie cinetique avant dissipation
             call covcont(llm, ucov, vcov, ucont, vcont)
             call enercin(vcov, ucov, vcont, ucont, ecin0)

             ! dissipation
             CALL dissip(vcov, ucov, teta, p3d, dvdis, dudis, dtetadis)
             ucov=ucov + dudis
             vcov=vcov + dvdis

             ! On rajoute la tendance due à la transformation Ec -> E
             ! thermique créée lors de la dissipation
             call covcont(llm, ucov, vcov, ucont, vcont)
             call enercin(vcov, ucov, vcont, ucont, ecin)
             dtetaecdt= (ecin0 - ecin) / pk
             dtetadis=dtetadis + dtetaecdt
             teta=teta + dtetadis

             ! Calcul de la valeur moyenne aux pôles :
             forall (l = 1: llm)
                teta(:, 1, l) = SUM(aire_2d(:iim, 1) * teta(:iim, 1, l)) &
                     / apoln
                teta(:, jjm + 1, l) = SUM(aire_2d(:iim, jjm+1) &
                     * teta(:iim, jjm + 1, l)) / apols
             END forall

             ps(:, 1) = SUM(aire_2d(:iim, 1) * ps(:iim, 1)) / apoln
             ps(:, jjm + 1) = SUM(aire_2d(:iim, jjm+1) * ps(:iim, jjm + 1)) &
                  / apols
          END IF

          itau = itau + 1
          iday = day_ini + itau / day_step
          time = REAL(itau - (iday - day_ini) * day_step) / day_step + time_0
          IF (time > 1.) THEN
             time = time - 1.
             iday = iday + 1
          ENDIF

          IF (MOD(itau, iperiod) == 0) THEN
             ! ecriture du fichier histoire moyenne:
             CALL writedynav(histaveid, nqmx, itau, vcov, &
                  ucov, teta, pk, phi, q, masse, ps, phis)
             call bilan_dyn(2, dtvr * iperiod, dtvr * day_step * periodav, &
                  ps, masse, pk, pbaru, pbarv, teta, phi, ucov, vcov, q)
          ENDIF
       end do leapfrog_loop
    end do period_loop

    ! {itau == itaufin}
    CALL dynredem1("restart.nc", vcov, ucov, teta, q, masse, ps, &
         itau=itau_dyn+itaufin)

    ! Calcul des tendances dynamiques:
    CALL geopot(ip1jmp1, teta, pk, pks, phis, phi)
    CALL caldyn(itaufin, ucov, vcov, teta, ps, masse, pk, pkf, phis, phi, &
         MOD(itaufin, iconser) == 0, du, dv, dteta, dp, w, pbaru, pbarv, &
         time + iday - day_ini)

  END SUBROUTINE leapfrog

end module leapfrog_m
1	guez	3	module leapfrog_m
2
3			IMPLICIT NONE
4
5			contains
6
7	guez	23	SUBROUTINE leapfrog(ucov, vcov, teta, ps, masse, phis, q, time_0)
8	guez	3
9	guez	27	! From dyn3d/leapfrog.F, version 1.6, 2005/04/13 08:58:34
10			! Authors: P. Le Van, L. Fairhead, F. Hourdin
11	guez	30	! schema matsuno + leapfrog
12	guez	3
13	guez	26	USE calfis_m, ONLY: calfis
14			USE com_io_dyn, ONLY: histaveid
15			USE comconst, ONLY: daysec, dtphys, dtvr
16	guez	29	USE comgeom, ONLY: aire_2d, apoln, apols
17	guez	26	USE comvert, ONLY: ap, bp
18	guez	27	USE conf_gcm_m, ONLY: day_step, iconser, iperiod, iphysiq, nday, offline, &
19			periodav
20	guez	29	USE dimens_m, ONLY: iim, jjm, llm, nqmx
21	guez	26	USE dynetat0_m, ONLY: day_ini
22	guez	27	use dynredem1_m, only: dynredem1
23	guez	26	USE exner_hyb_m, ONLY: exner_hyb
24	guez	27	use filtreg_m, only: filtreg
25	guez	26	USE guide_m, ONLY: guide
26			use inidissip_m, only: idissip
27	guez	32	use integrd_m, only: integrd
28	guez	26	USE logic, ONLY: iflag_phys, ok_guide
29	guez	29	USE paramet_m, ONLY: ip1jmp1
30	guez	26	USE pression_m, ONLY: pression
31			USE pressure_var, ONLY: p3d
32	guez	28	USE temps, ONLY: itau_dyn
33	guez	3
34	guez	10	! Variables dynamiques:
35	guez	32	REAL, intent(inout):: vcov((iim + 1) * jjm, llm) ! vent covariant
36			REAL, intent(inout):: ucov(ip1jmp1, llm) ! vent covariant
37	guez	29	REAL, intent(inout):: teta(iim + 1, jjm + 1, llm) ! potential temperature
38			REAL ps(iim + 1, jjm + 1) ! pression au sol, en Pa
39	guez	25
40	guez	10	REAL masse(ip1jmp1, llm) ! masse d'air
41			REAL phis(ip1jmp1) ! geopotentiel au sol
42	guez	25	REAL q(ip1jmp1, llm, nqmx) ! mass fractions of advected fields
43	guez	24	REAL, intent(in):: time_0
44	guez	10
45			! Variables local to the procedure:
46
47			! Variables dynamiques:
48
49	guez	3	REAL pks(ip1jmp1) ! exner au sol
50	guez	29	REAL pk(iim + 1, jjm + 1, llm) ! exner au milieu des couches
51	guez	3	REAL pkf(ip1jmp1, llm) ! exner filt.au milieu des couches
52			REAL phi(ip1jmp1, llm) ! geopotential
53			REAL w(ip1jmp1, llm) ! vitesse verticale
54
55			! variables dynamiques intermediaire pour le transport
56	guez	29	REAL pbaru(ip1jmp1, llm), pbarv((iim + 1) * jjm, llm) !flux de masse
57	guez	3
58			! variables dynamiques au pas - 1
59	guez	29	REAL vcovm1((iim + 1) * jjm, llm), ucovm1(ip1jmp1, llm)
60			REAL tetam1(iim + 1, jjm + 1, llm), psm1(iim + 1, jjm + 1)
61	guez	3	REAL massem1(ip1jmp1, llm)
62
63			! tendances dynamiques
64	guez	29	REAL dv((iim + 1) * jjm, llm), du(ip1jmp1, llm)
65	guez	3	REAL dteta(ip1jmp1, llm), dq(ip1jmp1, llm, nqmx), dp(ip1jmp1)
66
67			! tendances de la dissipation
68	guez	29	REAL dvdis((iim + 1) * jjm, llm), dudis(ip1jmp1, llm)
69			REAL dtetadis(iim + 1, jjm + 1, llm)
70	guez	3
71			! tendances physiques
72	guez	29	REAL dvfi((iim + 1) * jjm, llm), dufi(ip1jmp1, llm)
73	guez	3	REAL dtetafi(ip1jmp1, llm), dqfi(ip1jmp1, llm, nqmx), dpfi(ip1jmp1)
74
75			! variables pour le fichier histoire
76
77	guez	22	INTEGER itau ! index of the time step of the dynamics, starts at 0
78	guez	27	INTEGER itaufin
79	guez	3	INTEGER iday ! jour julien
80	guez	20	REAL time ! time of day, as a fraction of day length
81	guez	10	real finvmaold(ip1jmp1, llm)
82	guez	26	LOGICAL:: lafin=.false.
83	guez	30	INTEGER i, j, l
84	guez	3
85			REAL rdayvrai, rdaym_ini
86
87	guez	24	! Variables test conservation energie
88	guez	29	REAL ecin(iim + 1, jjm + 1, llm), ecin0(iim + 1, jjm + 1, llm)
89	guez	3	! Tendance de la temp. potentiel d (theta) / d t due a la
90			! tansformation d'energie cinetique en energie thermique
91			! cree par la dissipation
92	guez	29	REAL dtetaecdt(iim + 1, jjm + 1, llm)
93			REAL vcont((iim + 1) * jjm, llm), ucont(ip1jmp1, llm)
94	guez	3
95			!---------------------------------------------------
96
97			print *, "Call sequence information: leapfrog"
98
99			itaufin = nday * day_step
100	guez	30	! "day_step" is a multiple of "iperiod", therefore "itaufin" is one too
101
102	guez	3	itau = 0
103			iday = day_ini
104			time = time_0
105	guez	24	dq = 0.
106	guez	3	! On initialise la pression et la fonction d'Exner :
107	guez	10	CALL pression(ip1jmp1, ap, bp, ps, p3d)
108			CALL exner_hyb(ps, p3d, pks, pk, pkf)
109	guez	3
110	guez	27	! Début de l'integration temporelle :
111	guez	32	period_loop:do i = 1, itaufin / iperiod
112			! {"itau" is a multiple of "iperiod"}
113	guez	30
114			! 1. Matsuno forward:
115
116	guez	25	if (ok_guide .and. (itaufin - itau - 1) * dtvr > 21600.) &
117			call guide(itau, ucov, vcov, teta, q, masse, ps)
118			vcovm1 = vcov
119			ucovm1 = ucov
120			tetam1 = teta
121			massem1 = masse
122			psm1 = ps
123			finvmaold = masse
124	guez	29	CALL filtreg(finvmaold, jjm + 1, llm, - 2, 2, .TRUE., 1)
125	guez	3
126	guez	30	! Calcul des tendances dynamiques:
127			CALL geopot(ip1jmp1, teta, pk, pks, phis, phi)
128			CALL caldyn(itau, ucov, vcov, teta, ps, masse, pk, pkf, phis, phi, &
129			MOD(itau, iconser) == 0, du, dv, dteta, dp, w, pbaru, pbarv, &
130			time + iday - day_ini)
131
132			! Calcul des tendances advection des traceurs (dont l'humidité)
133			CALL caladvtrac(q, pbaru, pbarv, p3d, masse, dq, teta, pk)
134			! Stokage du flux de masse pour traceurs offline:
135			IF (offline) CALL fluxstokenc(pbaru, pbarv, masse, teta, phi, phis, &
136			dtvr, itau)
137
138			! integrations dynamique et traceurs:
139			CALL integrd(2, vcovm1, ucovm1, tetam1, psm1, massem1, dv, du, dteta, &
140	guez	32	dp, vcov, ucov, teta, q, ps, masse, finvmaold, .false., &
141	guez	30	dtvr)
142
143			CALL pression(ip1jmp1, ap, bp, ps, p3d)
144			CALL exner_hyb(ps, p3d, pks, pk, pkf)
145
146			! 2. Matsuno backward:
147
148			itau = itau + 1
149			iday = day_ini + itau / day_step
150			time = REAL(itau - (iday - day_ini) * day_step) / day_step + time_0
151			IF (time > 1.) THEN
152			time = time - 1.
153			iday = iday + 1
154			ENDIF
155
156			! Calcul des tendances dynamiques:
157			CALL geopot(ip1jmp1, teta, pk, pks, phis, phi)
158			CALL caldyn(itau, ucov, vcov, teta, ps, masse, pk, pkf, phis, phi, &
159			.false., du, dv, dteta, dp, w, pbaru, pbarv, time + iday - day_ini)
160
161			! integrations dynamique et traceurs:
162			CALL integrd(2, vcovm1, ucovm1, tetam1, psm1, massem1, dv, du, dteta, &
163	guez	32	dp, vcov, ucov, teta, q, ps, masse, finvmaold, .false., &
164	guez	30	dtvr)
165
166			CALL pression(ip1jmp1, ap, bp, ps, p3d)
167			CALL exner_hyb(ps, p3d, pks, pk, pkf)
168
169			! 3. Leapfrog:
170
171	guez	32	leapfrog_loop: do j = 1, iperiod - 1
172	guez	27	! Calcul des tendances dynamiques:
173	guez	3	CALL geopot(ip1jmp1, teta, pk, pks, phis, phi)
174			CALL caldyn(itau, ucov, vcov, teta, ps, masse, pk, pkf, phis, phi, &
175	guez	30	.false., du, dv, dteta, dp, w, pbaru, pbarv, &
176	guez	3	time + iday - day_ini)
177
178	guez	30	! Calcul des tendances advection des traceurs (dont l'humidité)
179			CALL caladvtrac(q, pbaru, pbarv, p3d, masse, dq, teta, pk)
180			! Stokage du flux de masse pour traceurs off-line:
181			IF (offline) CALL fluxstokenc(pbaru, pbarv, masse, teta, phi, phis, &
182			dtvr, itau)
183	guez	3
184			! integrations dynamique et traceurs:
185			CALL integrd(2, vcovm1, ucovm1, tetam1, psm1, massem1, dv, du, &
186	guez	32	dteta, dp, vcov, ucov, teta, q, ps, masse, &
187	guez	30	finvmaold, .true., 2 * dtvr)
188	guez	3
189	guez	27	IF (MOD(itau + 1, iphysiq) == 0 .AND. iflag_phys /= 0) THEN
190	guez	25	! calcul des tendances physiques:
191	guez	3	IF (itau + 1 == itaufin) lafin = .TRUE.
192
193	guez	10	CALL pression(ip1jmp1, ap, bp, ps, p3d)
194			CALL exner_hyb(ps, p3d, pks, pk, pkf)
195	guez	3
196			rdaym_ini = itau * dtvr / daysec
197			rdayvrai = rdaym_ini + day_ini
198
199	guez	23	CALL calfis(nqmx, lafin, rdayvrai, time, ucov, vcov, teta, q, &
200	guez	10	masse, ps, pk, phis, phi, du, dv, dteta, dq, w, &
201	guez	13	dufi, dvfi, dtetafi, dqfi, dpfi)
202	guez	3
203			! ajout des tendances physiques:
204	guez	29	CALL addfi(nqmx, dtphys, ucov, vcov, teta, q, ps, dufi, dvfi, &
205			dtetafi, dqfi, dpfi)
206	guez	3	ENDIF
207
208	guez	10	CALL pression(ip1jmp1, ap, bp, ps, p3d)
209			CALL exner_hyb(ps, p3d, pks, pk, pkf)
210	guez	3
211	guez	27	IF (MOD(itau + 1, idissip) == 0) THEN
212	guez	25	! dissipation horizontale et verticale des petites echelles:
213	guez	3
214			! calcul de l'energie cinetique avant dissipation
215			call covcont(llm, ucov, vcov, ucont, vcont)
216			call enercin(vcov, ucov, vcont, ucont, ecin0)
217
218			! dissipation
219	guez	10	CALL dissip(vcov, ucov, teta, p3d, dvdis, dudis, dtetadis)
220	guez	3	ucov=ucov + dudis
221			vcov=vcov + dvdis
222
223	guez	28	! On rajoute la tendance due à la transformation Ec -> E
224			! thermique créée lors de la dissipation
225	guez	27	call covcont(llm, ucov, vcov, ucont, vcont)
226			call enercin(vcov, ucov, vcont, ucont, ecin)
227			dtetaecdt= (ecin0 - ecin) / pk
228			dtetadis=dtetadis + dtetaecdt
229	guez	3	teta=teta + dtetadis
230
231	guez	32	! Calcul de la valeur moyenne aux pôles :
232	guez	29	forall (l = 1: llm)
233			teta(:, 1, l) = SUM(aire_2d(:iim, 1) * teta(:iim, 1, l)) &
234			/ apoln
235			teta(:, jjm + 1, l) = SUM(aire_2d(:iim, jjm+1) &
236			* teta(:iim, jjm + 1, l)) / apols
237			END forall
238	guez	3
239	guez	29	ps(:, 1) = SUM(aire_2d(:iim, 1) * ps(:iim, 1)) / apoln
240			ps(:, jjm + 1) = SUM(aire_2d(:iim, jjm+1) * ps(:iim, jjm + 1)) &
241			/ apols
242	guez	3	END IF
243
244	guez	30	itau = itau + 1
245			iday = day_ini + itau / day_step
246			time = REAL(itau - (iday - day_ini) * day_step) / day_step + time_0
247			IF (time > 1.) THEN
248			time = time - 1.
249			iday = iday + 1
250	guez	3	ENDIF
251
252	guez	30	IF (MOD(itau, iperiod) == 0) THEN
253	guez	25	! ecriture du fichier histoire moyenne:
254	guez	3	CALL writedynav(histaveid, nqmx, itau, vcov, &
255			ucov, teta, pk, phi, q, masse, ps, phis)
256			call bilan_dyn(2, dtvr * iperiod, dtvr * day_step * periodav, &
257			ps, masse, pk, pbaru, pbarv, teta, phi, ucov, vcov, q)
258			ENDIF
259	guez	32	end do leapfrog_loop
260			end do period_loop
261	guez	3
262	guez	30	! {itau == itaufin}
263			CALL dynredem1("restart.nc", vcov, ucov, teta, q, masse, ps, &
264			itau=itau_dyn+itaufin)
265
266			! Calcul des tendances dynamiques:
267			CALL geopot(ip1jmp1, teta, pk, pks, phis, phi)
268			CALL caldyn(itaufin, ucov, vcov, teta, ps, masse, pk, pkf, phis, phi, &
269			MOD(itaufin, iconser) == 0, du, dv, dteta, dp, w, pbaru, pbarv, &
270			time + iday - day_ini)
271
272	guez	3	END SUBROUTINE leapfrog
273
274			end module leapfrog_m