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sshwzv.F90 in trunk/NEMOGCM/NEMO/OPA_SRC/DYN – NEMO

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source: trunk/NEMOGCM/NEMO/OPA_SRC/DYN/sshwzv.F90 @ 3294

Last change on this file since 3294 was 3294, checked in by rblod, 12 years ago
Merge of 3.4beta into the trunk
Property svn:keywords set to `Id`
File size: 18.8 KB

Rev	Line
[1565]	1	MODULE sshwzv
[3]	2	!!==============================================================================
[1438]	3	!! * MODULE sshwzv *
	4	!! Ocean dynamics : sea surface height and vertical velocity
[3]	5	!!==============================================================================
[1438]	6	!! History : 3.1 ! 2009-02 (G. Madec, M. Leclair) Original code
[2528]	7	!! 3.3 ! 2010-04 (M. Leclair, G. Madec) modified LF-RA
	8	!! - ! 2010-05 (K. Mogensen, A. Weaver, M. Martin, D. Lea) Assimilation interface
	9	!! - ! 2010-09 (D.Storkey and E.O'Dea) bug fixes for BDY module
[3]	10	!!----------------------------------------------------------------------
[1438]	11
[3]	12	!!----------------------------------------------------------------------
[1438]	13	!! ssh_wzv : after ssh & now vertical velocity
	14	!! ssh_nxt : filter ans swap the ssh arrays
	15	!!----------------------------------------------------------------------
[3]	16	USE oce ! ocean dynamics and tracers variables
	17	USE dom_oce ! ocean space and time domain variables
[888]	18	USE sbc_oce ! surface boundary condition: ocean
	19	USE domvvl ! Variable volume
[1565]	20	USE divcur ! hor. divergence and curl (div & cur routines)
[1438]	21	USE iom ! I/O library
	22	USE restart ! only for lrst_oce
[3]	23	USE in_out_manager ! I/O manager
[258]	24	USE prtctl ! Print control
[592]	25	USE phycst
	26	USE lbclnk ! ocean lateral boundary condition (or mpp link)
[2715]	27	USE lib_mpp ! MPP library
[1241]	28	USE obc_par ! open boundary cond. parameter
	29	USE obc_oce
[2528]	30	USE bdy_oce
[2715]	31	USE diaar5, ONLY: lk_diaar5
[1482]	32	USE iom
[2715]	33	USE sbcrnf, ONLY: h_rnf, nk_rnf ! River runoff
[2528]	34	#if defined key_agrif
	35	USE agrif_opa_update
[2486]	36	USE agrif_opa_interp
[2528]	37	#endif
	38	#if defined key_asminc
	39	USE asminc ! Assimilation increment
	40	#endif
[3294]	41	USE wrk_nemo ! Memory Allocation
	42	USE timing ! Timing
[592]	43
[3]	44	IMPLICIT NONE
	45	PRIVATE
	46
[1438]	47	PUBLIC ssh_wzv ! called by step.F90
	48	PUBLIC ssh_nxt ! called by step.F90
[3]	49
	50	!! * Substitutions
	51	# include "domzgr_substitute.h90"
[1438]	52	# include "vectopt_loop_substitute.h90"
[3]	53	!!----------------------------------------------------------------------
[2528]	54	!! NEMO/OPA 3.3 , NEMO Consortium (2010)
[888]	55	!! $Id$
[2715]	56	!! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt)
[592]	57	!!----------------------------------------------------------------------
[3]	58	CONTAINS
	59
[1438]	60	SUBROUTINE ssh_wzv( kt )
[3]	61	!!----------------------------------------------------------------------
[1438]	62	!! * ROUTINE ssh_wzv *
	63	!!
	64	!! ** Purpose : compute the after ssh (ssha), the now vertical velocity
	65	!! and update the now vertical coordinate (lk_vvl=T).
[3]	66	!!
[2528]	67	!! ** Method : - Using the incompressibility hypothesis, the vertical
[1438]	68	!! velocity is computed by integrating the horizontal divergence
	69	!! from the bottom to the surface minus the scale factor evolution.
	70	!! The boundary conditions are w=0 at the bottom (no flux) and.
[3]	71	!!
[1438]	72	!! ** action : ssha : after sea surface height
	73	!! wn : now vertical velocity
[2528]	74	!! sshu_a, sshv_a, sshf_a : after sea surface height (lk_vvl=T)
	75	!! hu, hv, hur, hvr : ocean depth and its inverse at u-,v-points
	76	!!
	77	!! Reference : Leclair, M., and G. Madec, 2009, Ocean Modelling.
[3]	78	!!----------------------------------------------------------------------
[1438]	79	INTEGER, INTENT(in) :: kt ! time step
[2715]	80	!
	81	INTEGER :: ji, jj, jk ! dummy loop indices
	82	REAL(wp) :: zcoefu, zcoefv, zcoeff, z2dt, z1_2dt, z1_rau0 ! local scalars
[3294]	83	REAL(wp), POINTER, DIMENSION(:,: ) :: z2d, zhdiv
	84	REAL(wp), POINTER, DIMENSION(:,:,:) :: z3d
[3]	85	!!----------------------------------------------------------------------
[3294]	86	!
	87	IF( nn_timing == 1 ) CALL timing_start('ssh_wzv')
	88	!
	89	CALL wrk_alloc( jpi, jpj, z2d, zhdiv )
	90	!
[3]	91	IF( kt == nit000 ) THEN
[2528]	92	!
[3]	93	IF(lwp) WRITE(numout,*)
[1438]	94	IF(lwp) WRITE(numout,*) 'ssh_wzv : after sea surface height and now vertical velocity '
	95	IF(lwp) WRITE(numout,*) '~~~~~~~ '
	96	!
[2715]	97	wn(:,:,jpk) = 0._wp ! bottom boundary condition: w=0 (set once for all)
[1438]	98	!
	99	IF( lk_vvl ) THEN ! before and now Sea SSH at u-, v-, f-points (vvl case only)
	100	DO jj = 1, jpjm1
	101	DO ji = 1, jpim1 ! caution: use of Vector Opt. not possible
	102	zcoefu = 0.5 * umask(ji,jj,1) / ( e1u(ji,jj) * e2u(ji,jj) )
	103	zcoefv = 0.5 * vmask(ji,jj,1) / ( e1v(ji,jj) * e2v(ji,jj) )
	104	zcoeff = 0.25 * umask(ji,jj,1) * umask(ji,jj+1,1)
	105	sshu_b(ji,jj) = zcoefu * ( e1t(ji ,jj) * e2t(ji ,jj) * sshb(ji ,jj) &
	106	& + e1t(ji+1,jj) * e2t(ji+1,jj) * sshb(ji+1,jj) )
	107	sshv_b(ji,jj) = zcoefv * ( e1t(ji,jj ) * e2t(ji,jj ) * sshb(ji,jj ) &
	108	& + e1t(ji,jj+1) * e2t(ji,jj+1) * sshb(ji,jj+1) )
	109	sshu_n(ji,jj) = zcoefu * ( e1t(ji ,jj) * e2t(ji ,jj) * sshn(ji ,jj) &
	110	& + e1t(ji+1,jj) * e2t(ji+1,jj) * sshn(ji+1,jj) )
	111	sshv_n(ji,jj) = zcoefv * ( e1t(ji,jj ) * e2t(ji,jj ) * sshn(ji,jj ) &
	112	& + e1t(ji,jj+1) * e2t(ji,jj+1) * sshn(ji,jj+1) )
	113	END DO
	114	END DO
	115	CALL lbc_lnk( sshu_b, 'U', 1. ) ; CALL lbc_lnk( sshu_n, 'U', 1. )
	116	CALL lbc_lnk( sshv_b, 'V', 1. ) ; CALL lbc_lnk( sshv_n, 'V', 1. )
[2528]	117	DO jj = 1, jpjm1
	118	DO ji = 1, jpim1 ! NO Vector Opt.
	119	sshf_n(ji,jj) = 0.5 * umask(ji,jj,1) * umask(ji,jj+1,1) &
	120	& / ( e1f(ji,jj ) * e2f(ji,jj ) ) &
	121	& * ( e1u(ji,jj ) * e2u(ji,jj ) * sshu_n(ji,jj ) &
	122	& + e1u(ji,jj+1) * e2u(ji,jj+1) * sshu_n(ji,jj+1) )
	123	END DO
	124	END DO
	125	CALL lbc_lnk( sshf_n, 'F', 1. )
[1438]	126	ENDIF
	127	!
[3]	128	ENDIF
	129
[2528]	130	! !------------------------------------------!
	131	IF( lk_vvl ) THEN ! Regridding: Update Now Vertical coord. ! (only in vvl case)
	132	! !------------------------------------------!
[1565]	133	DO jk = 1, jpkm1
[2528]	134	fsdept(:,:,jk) = fsdept_n(:,:,jk) ! now local depths stored in fsdep. arrays
[1565]	135	fsdepw(:,:,jk) = fsdepw_n(:,:,jk)
	136	fsde3w(:,:,jk) = fsde3w_n(:,:,jk)
	137	!
[2528]	138	fse3t (:,:,jk) = fse3t_n (:,:,jk) ! vertical scale factors stored in fse3. arrays
[1565]	139	fse3u (:,:,jk) = fse3u_n (:,:,jk)
	140	fse3v (:,:,jk) = fse3v_n (:,:,jk)
	141	fse3f (:,:,jk) = fse3f_n (:,:,jk)
	142	fse3w (:,:,jk) = fse3w_n (:,:,jk)
	143	fse3uw(:,:,jk) = fse3uw_n(:,:,jk)
	144	fse3vw(:,:,jk) = fse3vw_n(:,:,jk)
	145	END DO
[2528]	146	!
	147	hu(:,:) = hu_0(:,:) + sshu_n(:,:) ! now ocean depth (at u- and v-points)
[1565]	148	hv(:,:) = hv_0(:,:) + sshv_n(:,:)
[2528]	149	! ! now masked inverse of the ocean depth (at u- and v-points)
[2715]	150	hur(:,:) = umask(:,:,1) / ( hu(:,:) + 1._wp - umask(:,:,1) )
	151	hvr(:,:) = vmask(:,:,1) / ( hv(:,:) + 1._wp - vmask(:,:,1) )
[2528]	152	!
[1565]	153	ENDIF
[2528]	154	!
	155	CALL div_cur( kt ) ! Horizontal divergence & Relative vorticity
	156	!
[2715]	157	z2dt = 2._wp * rdt ! set time step size (Euler/Leapfrog)
	158	IF( neuler == 0 .AND. kt == nit000 ) z2dt = rdt
[3]	159
[1438]	160	! !------------------------------!
	161	! ! After Sea Surface Height !
	162	! !------------------------------!
[2715]	163	zhdiv(:,:) = 0._wp
[1438]	164	DO jk = 1, jpkm1 ! Horizontal divergence of barotropic transports
	165	zhdiv(:,:) = zhdiv(:,:) + fse3t(:,:,jk) * hdivn(:,:,jk)
	166	END DO
	167	! ! Sea surface elevation time stepping
[2528]	168	! In forward Euler time stepping case, the same formulation as in the leap-frog case can be used
	169	! because emp_b field is initialized with the vlaues of emp field. Hence, 0.5 * ( emp + emp_b ) = emp
	170	z1_rau0 = 0.5 / rau0
[2715]	171	ssha(:,:) = ( sshb(:,:) - z2dt * ( z1_rau0 * ( emp_b(:,:) + emp(:,:) ) + zhdiv(:,:) ) ) * tmask(:,:,1)
[1438]	172
[2486]	173	#if defined key_agrif
[2715]	174	CALL agrif_ssh( kt )
[2486]	175	#endif
[1438]	176	#if defined key_obc
[2528]	177	IF( Agrif_Root() ) THEN
[1438]	178	ssha(:,:) = ssha(:,:) * obctmsk(:,:)
[2715]	179	CALL lbc_lnk( ssha, 'T', 1. ) ! absolutly compulsory !! (jmm)
[1438]	180	ENDIF
	181	#endif
[2528]	182	#if defined key_bdy
	183	ssha(:,:) = ssha(:,:) * bdytmask(:,:)
[3294]	184	CALL lbc_lnk( ssha, 'T', 1. ) ! absolutly compulsory !! (jmm)
[2528]	185	#endif
[1438]	186
	187	! ! Sea Surface Height at u-,v- and f-points (vvl case only)
	188	IF( lk_vvl ) THEN ! (required only in key_vvl case)
	189	DO jj = 1, jpjm1
[1694]	190	DO ji = 1, jpim1 ! NO Vector Opt.
[1438]	191	sshu_a(ji,jj) = 0.5 * umask(ji,jj,1) / ( e1u(ji ,jj) * e2u(ji ,jj) ) &
	192	& * ( e1t(ji ,jj) * e2t(ji ,jj) * ssha(ji ,jj) &
	193	& + e1t(ji+1,jj) * e2t(ji+1,jj) * ssha(ji+1,jj) )
	194	sshv_a(ji,jj) = 0.5 * vmask(ji,jj,1) / ( e1v(ji,jj ) * e2v(ji,jj ) ) &
	195	& * ( e1t(ji,jj ) * e2t(ji,jj ) * ssha(ji,jj ) &
	196	& + e1t(ji,jj+1) * e2t(ji,jj+1) * ssha(ji,jj+1) )
[592]	197	END DO
	198	END DO
[2715]	199	CALL lbc_lnk( sshu_a, 'U', 1. ) ; CALL lbc_lnk( sshv_a, 'V', 1. ) ! Boundaries conditions
[1438]	200	ENDIF
[2715]	201
[2528]	202	#if defined key_asminc
[2715]	203	! ! Include the IAU weighted SSH increment
	204	IF( lk_asminc .AND. ln_sshinc .AND. ln_asmiau ) THEN
[2528]	205	CALL ssh_asm_inc( kt )
	206	ssha(:,:) = ssha(:,:) + z2dt * ssh_iau(:,:)
	207	ENDIF
	208	#endif
[592]	209
[1438]	210	! !------------------------------!
	211	! ! Now Vertical Velocity !
	212	! !------------------------------!
[2528]	213	z1_2dt = 1.e0 / z2dt
	214	DO jk = jpkm1, 1, -1 ! integrate from the bottom the hor. divergence
	215	! - ML - need 3 lines here because replacement of fse3t by its expression yields too long lines otherwise
[2715]	216	wn(:,:,jk) = wn(:,:,jk+1) - fse3t_n(:,:,jk) * hdivn(:,:,jk) &
	217	& - ( fse3t_a(:,:,jk) - fse3t_b(:,:,jk) ) &
[2528]	218	& * tmask(:,:,jk) * z1_2dt
	219	#if defined key_bdy
	220	wn(:,:,jk) = wn(:,:,jk) * bdytmask(:,:)
	221	#endif
[1438]	222	END DO
[2528]	223
	224	! !------------------------------!
	225	! ! outputs !
	226	! !------------------------------!
[1756]	227	CALL iom_put( "woce", wn ) ! vertical velocity
	228	CALL iom_put( "ssh" , sshn ) ! sea surface height
	229	CALL iom_put( "ssh2", sshn(:,:) * sshn(:,:) ) ! square of sea surface height
[2528]	230	IF( lk_diaar5 ) THEN ! vertical mass transport & its square value
	231	! Caution: in the VVL case, it only correponds to the baroclinic mass transport.
[3294]	232	CALL wrk_alloc( jpi,jpj,jpk, z3d )
[1756]	233	z2d(:,:) = rau0 * e1t(:,:) * e2t(:,:)
	234	DO jk = 1, jpk
	235	z3d(:,:,jk) = wn(:,:,jk) * z2d(:,:)
	236	END DO
[2528]	237	CALL iom_put( "w_masstr" , z3d )
	238	CALL iom_put( "w_masstr2", z3d(:,:,:) * z3d(:,:,:) )
[3294]	239	CALL wrk_dealloc( jpi,jpj,jpk, z3d )
[1756]	240	ENDIF
[1438]	241	!
[2528]	242	IF(ln_ctl) CALL prt_ctl( tab2d_1=ssha, clinfo1=' ssha - : ', mask1=tmask, ovlap=1 )
	243	!
[3294]	244	CALL wrk_dealloc( jpi, jpj, z2d, zhdiv )
[2715]	245	!
[3294]	246	IF( nn_timing == 1 ) CALL timing_stop('ssh_wzv')
	247	!
[1438]	248	END SUBROUTINE ssh_wzv
[592]	249
	250
[1438]	251	SUBROUTINE ssh_nxt( kt )
	252	!!----------------------------------------------------------------------
	253	!! * ROUTINE ssh_nxt *
	254	!!
	255	!! ** Purpose : achieve the sea surface height time stepping by
	256	!! applying Asselin time filter and swapping the arrays
	257	!! ssha already computed in ssh_wzv
	258	!!
[2528]	259	!! ** Method : - apply Asselin time fiter to now ssh (excluding the forcing
	260	!! from the filter, see Leclair and Madec 2010) and swap :
	261	!! sshn = ssha + atfp * ( sshb -2 sshn + ssha )
	262	!! - atfp * rdt * ( emp_b - emp ) / rau0
	263	!! sshn = ssha
[1438]	264	!!
	265	!! ** action : - sshb, sshn : before & now sea surface height
	266	!! ready for the next time step
[2528]	267	!!
	268	!! Reference : Leclair, M., and G. Madec, 2009, Ocean Modelling.
[1438]	269	!!----------------------------------------------------------------------
[2528]	270	INTEGER, INTENT(in) :: kt ! ocean time-step index
[1438]	271	!!
[2528]	272	INTEGER :: ji, jj ! dummy loop indices
	273	REAL(wp) :: zec ! temporary scalar
[1438]	274	!!----------------------------------------------------------------------
[3294]	275	!
	276	IF( nn_timing == 1 ) CALL timing_start('ssh_nxt')
	277	!
[1438]	278	IF( kt == nit000 ) THEN
	279	IF(lwp) WRITE(numout,*)
	280	IF(lwp) WRITE(numout,*) 'ssh_nxt : next sea surface height (Asselin time filter + swap)'
	281	IF(lwp) WRITE(numout,*) '~~~~~~~ '
	282	ENDIF
[592]	283
[2528]	284	! !--------------------------!
[2715]	285	IF( lk_vvl ) THEN ! Variable volume levels ! (ssh at t-, u-, v, f-points)
[2528]	286	! !--------------------------!
	287	!
[2715]	288	IF( neuler == 0 .AND. kt == nit000 ) THEN !** Euler time-stepping at first time-step : no filter
	289	sshn (:,:) = ssha (:,:) ! now <-- after (before already = now)
[1438]	290	sshu_n(:,:) = sshu_a(:,:)
	291	sshv_n(:,:) = sshv_a(:,:)
[2715]	292	DO jj = 1, jpjm1 ! ssh now at f-point
[2528]	293	DO ji = 1, jpim1 ! NO Vector Opt.
[2715]	294	sshf_n(ji,jj) = 0.5 * umask(ji,jj,1) * umask(ji,jj+1,1) &
[2528]	295	& / ( e1f(ji,jj ) * e2f(ji,jj ) ) &
	296	& * ( e1u(ji,jj ) * e2u(ji,jj ) * sshu_n(ji,jj ) &
	297	& + e1u(ji,jj+1) * e2u(ji,jj+1) * sshu_n(ji,jj+1) )
	298	END DO
	299	END DO
[2715]	300	CALL lbc_lnk( sshf_n, 'F', 1. ) ! Boundaries conditions
	301	!
	302	ELSE !** Leap-Frog time-stepping: Asselin filter + swap
[2528]	303	zec = atfp * rdt / rau0
[1438]	304	DO jj = 1, jpj
[2715]	305	DO ji = 1, jpi ! before <-- now filtered
[2528]	306	sshb (ji,jj) = sshn (ji,jj) + atfp * ( sshb(ji,jj) - 2 * sshn(ji,jj) + ssha(ji,jj) ) &
	307	& - zec * ( emp_b(ji,jj) - emp(ji,jj) ) * tmask(ji,jj,1)
[2715]	308	sshn (ji,jj) = ssha (ji,jj) ! now <-- after
[1438]	309	sshu_n(ji,jj) = sshu_a(ji,jj)
	310	sshv_n(ji,jj) = sshv_a(ji,jj)
	311	END DO
	312	END DO
[2715]	313	DO jj = 1, jpjm1 ! ssh now at f-point
[2528]	314	DO ji = 1, jpim1 ! NO Vector Opt.
	315	sshf_n(ji,jj) = 0.5 * umask(ji,jj,1) * umask(ji,jj+1,1) &
	316	& / ( e1f(ji,jj ) * e2f(ji,jj ) ) &
	317	& * ( e1u(ji,jj ) * e2u(ji,jj ) * sshu_n(ji,jj ) &
	318	& + e1u(ji,jj+1) * e2u(ji,jj+1) * sshu_n(ji,jj+1) )
	319	END DO
	320	END DO
[2715]	321	CALL lbc_lnk( sshf_n, 'F', 1. ) ! Boundaries conditions
	322	!
	323	DO jj = 1, jpjm1 ! ssh before at u- & v-points
[2528]	324	DO ji = 1, jpim1 ! NO Vector Opt.
	325	sshu_b(ji,jj) = 0.5 * umask(ji,jj,1) / ( e1u(ji ,jj) * e2u(ji ,jj) ) &
	326	& * ( e1t(ji ,jj) * e2t(ji ,jj) * sshb(ji ,jj) &
	327	& + e1t(ji+1,jj) * e2t(ji+1,jj) * sshb(ji+1,jj) )
	328	sshv_b(ji,jj) = 0.5 * vmask(ji,jj,1) / ( e1v(ji,jj ) * e2v(ji,jj ) ) &
	329	& * ( e1t(ji,jj ) * e2t(ji,jj ) * sshb(ji,jj ) &
	330	& + e1t(ji,jj+1) * e2t(ji,jj+1) * sshb(ji,jj+1) )
	331	END DO
	332	END DO
	333	CALL lbc_lnk( sshu_b, 'U', 1. )
[2715]	334	CALL lbc_lnk( sshv_b, 'V', 1. ) ! Boundaries conditions
	335	!
[1438]	336	ENDIF
[2528]	337	! !--------------------------!
[2715]	338	ELSE ! fixed levels ! (ssh at t-point only)
[2528]	339	! !--------------------------!
[1438]	340	!
[2715]	341	IF( neuler == 0 .AND. kt == nit000 ) THEN !** Euler time-stepping at first time-step : no filter
	342	sshn(:,:) = ssha(:,:) ! now <-- after (before already = now)
[1438]	343	!
[2715]	344	ELSE ! Leap-Frog time-stepping: Asselin filter + swap
[1438]	345	DO jj = 1, jpj
[2715]	346	DO ji = 1, jpi ! before <-- now filtered
[2528]	347	sshb(ji,jj) = sshn(ji,jj) + atfp * ( sshb(ji,jj) - 2 * sshn(ji,jj) + ssha(ji,jj) )
[2715]	348	sshn(ji,jj) = ssha(ji,jj) ! now <-- after
[1438]	349	END DO
	350	END DO
	351	ENDIF
	352	!
	353	ENDIF
	354	!
[2528]	355	! Update velocity at AGRIF zoom boundaries
[2486]	356	#if defined key_agrif
[2528]	357	IF ( .NOT.Agrif_Root() ) CALL Agrif_Update_Dyn( kt )
[2486]	358	#endif
[1438]	359	!
[2528]	360	IF(ln_ctl) CALL prt_ctl( tab2d_1=sshb, clinfo1=' sshb - : ', mask1=tmask, ovlap=1 )
	361	!
[3294]	362	IF( nn_timing == 1 ) CALL timing_stop('ssh_nxt')
	363	!
[1438]	364	END SUBROUTINE ssh_nxt
[3]	365
	366	!!======================================================================
[1565]	367	END MODULE sshwzv

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