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traadv_qck.F90 @ 2690

Last change on this file since 2690 was 2690, checked in by gm, 13 years ago
dynamic mem: #785 ; homogeneization of the coding style associated with dyn allocation
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[1231]	1	MODULE traadv_qck
	2	!!==============================================================================
	3	!! * MODULE traadv_qck *
[2528]	4	!! Ocean tracers: horizontal & vertical advective trend
[1231]	5	!!==============================================================================
[1559]	6	!! History : 3.0 ! 2008-07 (G. Reffray) Original code
[2528]	7	!! 3.3 ! 2010-05 (C.Ethe, G. Madec) merge TRC-TRA + switch from velocity to transport
[1231]	8	!!----------------------------------------------------------------------
	9
	10	!!----------------------------------------------------------------------
[2528]	11	!! tra_adv_qck : update the tracer trend with the horizontal advection
	12	!! trends using a 3rd order finite difference scheme
	13	!! tra_adv_qck_i : apply QUICK scheme in i-direction
	14	!! tra_adv_qck_j : apply QUICK scheme in j-direction
[1559]	15	!! tra_adv_cen2_k : 2nd centered scheme for the vertical advection
[1231]	16	!!----------------------------------------------------------------------
	17	USE oce ! ocean dynamics and active tracers
	18	USE dom_oce ! ocean space and time domain
[2528]	19	USE trdmod_oce ! ocean space and time domain
	20	USE trdtra ! ocean tracers trends
[1231]	21	USE trabbl ! advective term in the BBL
	22	USE lib_mpp ! distribued memory computing
	23	USE lbclnk ! ocean lateral boundary condition (or mpp link)
	24	USE dynspg_oce ! surface pressure gradient variables
	25	USE in_out_manager ! I/O manager
	26	USE diaptr ! poleward transport diagnostics
[2528]	27	USE trc_oce ! share passive tracers/Ocean variables
[1231]	28
	29	IMPLICIT NONE
	30	PRIVATE
	31
[1559]	32	PUBLIC tra_adv_qck ! routine called by step.F90
[1231]	33
[2528]	34	LOGICAL :: l_trd ! flag to compute trends
	35	REAL(wp) :: r1_6 = 1./ 6. ! 1/6 ratio
[1559]	36
[1231]	37	!! * Substitutions
	38	# include "domzgr_substitute.h90"
	39	# include "vectopt_loop_substitute.h90"
	40	!!----------------------------------------------------------------------
[2528]	41	!! NEMO/OPA 3.3 , NEMO Consortium (2010)
[1231]	42	!! $Id$
[2528]	43	!! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt)
[1231]	44	!!----------------------------------------------------------------------
	45	CONTAINS
	46
[2528]	47	SUBROUTINE tra_adv_qck ( kt, cdtype, p2dt, pun, pvn, pwn, &
	48	& ptb, ptn, pta, kjpt )
[1231]	49	!!----------------------------------------------------------------------
	50	!! * ROUTINE tra_adv_qck *
	51	!!
	52	!! ** Purpose : Compute the now trend due to the advection of tracers
	53	!! and add it to the general trend of passive tracer equations.
	54	!!
	55	!! ** Method : The advection is evaluated by a third order scheme
[1559]	56	!! For a positive velocity u : u(i)>0
	57	!! \|--FU--\|--FC--\|--FD--\|------\|
	58	!! i-1 i i+1 i+2
[1231]	59	!!
[1559]	60	!! For a negative velocity u : u(i)<0
	61	!! \|------\|--FD--\|--FC--\|--FU--\|
	62	!! i-1 i i+1 i+2
	63	!! where FU is the second upwind point
	64	!! FD is the first douwning point
	65	!! FC is the central point (or the first upwind point)
[1231]	66	!!
[1559]	67	!! Flux(i) = u(i) * { 0.5(FC+FD) -0.5C(i)(FD-FC) -((1-C(i))/6)(FU+FD-2FC) }
	68	!! with C(i)=\|u(i)\|dx(i)/dt (=Courant number)
[1231]	69	!!
	70	!! dt = 2*rdtra and the scalar values are tb and sb
	71	!!
[2528]	72	!! On the vertical, the simple centered scheme used ptn
[1231]	73	!!
[1559]	74	!! The fluxes are bounded by the ULTIMATE limiter to
	75	!! guarantee the monotonicity of the solution and to
[1231]	76	!! prevent the appearance of spurious numerical oscillations
	77	!!
[2528]	78	!! ** Action : - update (pta) with the now advective tracer trends
	79	!! - save the trends
[1231]	80	!!
	81	!! ** Reference : Leonard (1979, 1991)
	82	!!----------------------------------------------------------------------
[2528]	83	INTEGER , INTENT(in ) :: kt ! ocean time-step index
	84	CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator)
	85	INTEGER , INTENT(in ) :: kjpt ! number of tracers
	86	REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step
	87	REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean velocity components
	88	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields
	89	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend
[1231]	90	!!----------------------------------------------------------------------
	91
[2528]	92	IF( kt == nit000 ) THEN
[1231]	93	IF(lwp) WRITE(numout,*)
[2528]	94	IF(lwp) WRITE(numout,*) 'tra_adv_qck : 3rd order quickest advection scheme on ', cdtype
[1231]	95	IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~'
	96	IF(lwp) WRITE(numout,*)
[2528]	97	!
	98	l_trd = .FALSE.
	99	IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE.
[1231]	100	ENDIF
	101
	102	! I. The horizontal fluxes are computed with the QUICKEST + ULTIMATE scheme
[2528]	103	CALL tra_adv_qck_i( kt, cdtype, p2dt, pun, ptb, ptn, pta, kjpt )
	104	CALL tra_adv_qck_j( kt, cdtype, p2dt, pvn, ptb, ptn, pta, kjpt )
[1231]	105
	106	! II. The vertical fluxes are computed with the 2nd order centered scheme
[2528]	107	CALL tra_adv_cen2_k( kt, cdtype, pwn, ptn, pta, kjpt )
[1231]	108	!
	109	END SUBROUTINE tra_adv_qck
	110
	111
[2528]	112	SUBROUTINE tra_adv_qck_i( kt, cdtype, p2dt, pun, &
	113	& ptb, ptn, pta, kjpt )
[1231]	114	!!----------------------------------------------------------------------
	115	!!
	116	!!----------------------------------------------------------------------
[2690]	117	USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released
	118	USE oce , ONLY: zwx => ua ! ua used as workspace
	119	USE wrk_nemo, ONLY: zfu => wrk_3d_1 , zfc => wrk_3d_2, zfd => wrk_3d_3 ! 3D workspace
	120	!
	121	INTEGER , INTENT(in ) :: kt ! ocean time-step index
	122	CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator)
	123	INTEGER , INTENT(in ) :: kjpt ! number of tracers
	124	REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step
	125	REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun ! i-velocity components
	126	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields
	127	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend
[2528]	128	!!
[2690]	129	INTEGER :: ji, jj, jk, jn ! dummy loop indices
	130	REAL(wp) :: ztra, zbtr, zdir, zdx, zdt, zmsk ! local scalars
[1231]	131	!----------------------------------------------------------------------
[2590]	132	!
[2690]	133	IF( wrk_in_use(3, 1,2,3) ) THEN
	134	CALL ctl_stop('tra_adv_qck_i: requested workspace arrays unavailable') ; RETURN
	135	ENDIF
[2528]	136	! ! ===========
	137	DO jn = 1, kjpt ! tracer loop
	138	! ! ===========
	139	zfu(:,:,:) = 0.0 ; zfc(:,:,:) = 0.0
	140	zfd(:,:,:) = 0.0 ; zwx(:,:,:) = 0.0
	141	!
	142	DO jk = 1, jpkm1
	143	!
	144	!--- Computation of the ustream and downstream value of the tracer and the mask
	145	DO jj = 2, jpjm1
	146	DO ji = fs_2, fs_jpim1 ! vector opt.
	147	! Upstream in the x-direction for the tracer
	148	zfc(ji,jj,jk) = ptb(ji-1,jj,jk,jn)
	149	! Downstream in the x-direction for the tracer
	150	zfd(ji,jj,jk) = ptb(ji+1,jj,jk,jn)
	151	END DO
[1559]	152	END DO
	153	END DO
[2528]	154	CALL lbc_lnk( zfc(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zfd(:,:,:), 'T', 1. ) ! Lateral boundary conditions
	155
[1231]	156	!
	157	! Horizontal advective fluxes
	158	! ---------------------------
	159	!
[2528]	160	DO jk = 1, jpkm1
	161	DO jj = 2, jpjm1
	162	DO ji = fs_2, fs_jpim1 ! vector opt.
	163	zdir = 0.5 + SIGN( 0.5, pun(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0
	164	zfu(ji,jj,jk) = zdir * zfc(ji,jj,jk ) + ( 1. - zdir ) * zfd(ji+1,jj,jk) ! FU in the x-direction for T
	165	END DO
	166	END DO
[1559]	167	END DO
[1231]	168	!
[2528]	169	DO jk = 1, jpkm1
	170	zdt = p2dt(jk)
	171	DO jj = 2, jpjm1
	172	DO ji = fs_2, fs_jpim1 ! vector opt.
	173	zdir = 0.5 + SIGN( 0.5, pun(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0
	174	zdx = ( zdir * e1t(ji,jj) + ( 1. - zdir ) * e1t(ji+1,jj) ) * e2u(ji,jj) * fse3u(ji,jj,jk)
	175	zwx(ji,jj,jk) = ABS( pun(ji,jj,jk) ) * zdt / zdx ! (0<zc_cfl<1 : Courant number on x-direction)
	176	zfc(ji,jj,jk) = zdir * ptb(ji ,jj,jk,jn) + ( 1. - zdir ) * ptb(ji+1,jj,jk,jn) ! FC in the x-direction for T
	177	zfd(ji,jj,jk) = zdir * ptb(ji+1,jj,jk,jn) + ( 1. - zdir ) * ptb(ji ,jj,jk,jn) ! FD in the x-direction for T
	178	END DO
	179	END DO
	180	END DO
	181	!--- Lateral boundary conditions
	182	CALL lbc_lnk( zfu(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zfd(:,:,:), 'T', 1. )
	183	CALL lbc_lnk( zfc(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zwx(:,:,:), 'T', 1. )
	184
[1231]	185	!--- QUICKEST scheme
[2528]	186	CALL quickest( zfu, zfd, zfc, zwx )
[1231]	187	!
[2528]	188	! Mask at the T-points in the x-direction (mask=0 or mask=1)
	189	DO jk = 1, jpkm1
	190	DO jj = 2, jpjm1
	191	DO ji = fs_2, fs_jpim1 ! vector opt.
	192	zfu(ji,jj,jk) = tmask(ji-1,jj,jk) + tmask(ji,jj,jk) + tmask(ji+1,jj,jk) - 2.
[2690]	193	END DO
[1231]	194	END DO
	195	END DO
[2528]	196	CALL lbc_lnk( zfu(:,:,:), 'T', 1. ) ! Lateral boundary conditions
	197
[1231]	198	!
[2528]	199	! Tracer flux on the x-direction
	200	DO jk = 1, jpkm1
	201	!
[1231]	202	DO jj = 2, jpjm1
[2528]	203	DO ji = fs_2, fs_jpim1 ! vector opt.
	204	zdir = 0.5 + SIGN( 0.5, pun(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0
	205	!--- If the second ustream point is a land point
	206	!--- the flux is computed by the 1st order UPWIND scheme
	207	zmsk = zdir * zfu(ji,jj,jk) + ( 1. - zdir ) * zfu(ji+1,jj,jk)
	208	zwx(ji,jj,jk) = zmsk * zwx(ji,jj,jk) + ( 1. - zmsk ) * zfc(ji,jj,jk)
	209	zwx(ji,jj,jk) = zwx(ji,jj,jk) * pun(ji,jj,jk)
[1231]	210	END DO
	211	END DO
[2528]	212	!
	213	! Computation of the trend
	214	DO jj = 2, jpjm1
	215	DO ji = fs_2, fs_jpim1 ! vector opt.
	216	zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) )
	217	! horizontal advective trends
	218	ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji-1,jj,jk) )
	219	!--- add it to the general tracer trends
	220	pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra
	221	END DO
	222	END DO
	223	!
[1231]	224	END DO
[2528]	225	! ! trend diagnostics (contribution of upstream fluxes)
	226	IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_trd_xad, zwx, pun, ptn(:,:,:,jn) )
	227	!
	228	END DO
	229	!
[2690]	230	IF( wrk_not_released(3, 1,2,3) ) CALL ctl_stop('tra_adv_qck_i: failed to release workspace arrays')
[2590]	231	!
[1559]	232	END SUBROUTINE tra_adv_qck_i
[1231]	233
	234
[2528]	235	SUBROUTINE tra_adv_qck_j( kt, cdtype, p2dt, pvn, &
	236	& ptb, ptn, pta, kjpt )
[1231]	237	!!----------------------------------------------------------------------
	238	!!
	239	!!----------------------------------------------------------------------
[2690]	240	USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released
	241	USE oce , ONLY: zwy => ua ! ua used as workspace
	242	USE wrk_nemo, ONLY: zfu => wrk_3d_1 , zfc => wrk_3d_2, zfd => wrk_3d_3 ! 3D workspace
	243	!
	244	INTEGER , INTENT(in ) :: kt ! ocean time-step index
	245	CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator)
	246	INTEGER , INTENT(in ) :: kjpt ! number of tracers
	247	REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step
	248	REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pvn ! j-velocity components
	249	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields
	250	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend
[1559]	251	!!
[2690]	252	INTEGER :: ji, jj, jk, jn ! dummy loop indices
	253	REAL(wp) :: ztra, zbtr, zdir, zdx, zdt, zmsk ! local scalars
[1231]	254	!----------------------------------------------------------------------
[2590]	255	!
[2633]	256	IF(wrk_in_use(3, 1,2,3))THEN
[2590]	257	CALL ctl_stop('tra_adv_qck_j: ERROR: requested workspace arrays unavailable')
	258	RETURN
	259	END IF
[2528]	260	! ! ===========
	261	DO jn = 1, kjpt ! tracer loop
	262	! ! ===========
	263	zfu(:,:,:) = 0.0 ; zfc(:,:,:) = 0.0
	264	zfd(:,:,:) = 0.0 ; zwy(:,:,:) = 0.0
	265	!
	266	DO jk = 1, jpkm1
	267	!
	268	!--- Computation of the ustream and downstream value of the tracer and the mask
	269	DO jj = 2, jpjm1
	270	DO ji = fs_2, fs_jpim1 ! vector opt.
	271	! Upstream in the x-direction for the tracer
	272	zfc(ji,jj,jk) = ptb(ji,jj-1,jk,jn)
	273	! Downstream in the x-direction for the tracer
	274	zfd(ji,jj,jk) = ptb(ji,jj+1,jk,jn)
	275	END DO
[1559]	276	END DO
	277	END DO
[2528]	278	CALL lbc_lnk( zfc(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zfd(:,:,:), 'T', 1. ) ! Lateral boundary conditions
	279
	280
[1231]	281	!
	282	! Horizontal advective fluxes
	283	! ---------------------------
	284	!
[2528]	285	DO jk = 1, jpkm1
	286	DO jj = 2, jpjm1
	287	DO ji = fs_2, fs_jpim1 ! vector opt.
	288	zdir = 0.5 + SIGN( 0.5, pvn(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0
	289	zfu(ji,jj,jk) = zdir * zfc(ji,jj,jk ) + ( 1. - zdir ) * zfd(ji,jj+1,jk) ! FU in the x-direction for T
	290	END DO
[1559]	291	END DO
	292	END DO
[1231]	293	!
[2528]	294	DO jk = 1, jpkm1
	295	zdt = p2dt(jk)
	296	DO jj = 2, jpjm1
	297	DO ji = fs_2, fs_jpim1 ! vector opt.
	298	zdir = 0.5 + SIGN( 0.5, pvn(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0
	299	zdx = ( zdir * e2t(ji,jj) + ( 1. - zdir ) * e2t(ji,jj+1) ) * e1v(ji,jj) * fse3v(ji,jj,jk)
	300	zwy(ji,jj,jk) = ABS( pvn(ji,jj,jk) ) * zdt / zdx ! (0<zc_cfl<1 : Courant number on x-direction)
	301	zfc(ji,jj,jk) = zdir * ptb(ji,jj ,jk,jn) + ( 1. - zdir ) * ptb(ji,jj+1,jk,jn) ! FC in the x-direction for T
	302	zfd(ji,jj,jk) = zdir * ptb(ji,jj+1,jk,jn) + ( 1. - zdir ) * ptb(ji,jj ,jk,jn) ! FD in the x-direction for T
	303	END DO
	304	END DO
	305	END DO
	306
	307	!--- Lateral boundary conditions
	308	CALL lbc_lnk( zfu(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zfd(:,:,:), 'T', 1. )
	309	CALL lbc_lnk( zfc(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zwy(:,:,:), 'T', 1. )
	310
[1231]	311	!--- QUICKEST scheme
[2528]	312	CALL quickest( zfu, zfd, zfc, zwy )
[1231]	313	!
[2528]	314	! Mask at the T-points in the x-direction (mask=0 or mask=1)
	315	DO jk = 1, jpkm1
	316	DO jj = 2, jpjm1
	317	DO ji = fs_2, fs_jpim1 ! vector opt.
	318	zfu(ji,jj,jk) = tmask(ji,jj-1,jk) + tmask(ji,jj,jk) + tmask(ji,jj+1,jk) - 2.
	319	END DO
[1231]	320	END DO
	321	END DO
[2528]	322	!--- Lateral boundary conditions
	323	CALL lbc_lnk( zfu(:,:,:), 'T', 1. )
	324	!
	325	! Tracer flux on the x-direction
	326	DO jk = 1, jpkm1
	327	!
[1231]	328	DO jj = 2, jpjm1
[2528]	329	DO ji = fs_2, fs_jpim1 ! vector opt.
	330	zdir = 0.5 + SIGN( 0.5, pvn(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0
	331	!--- If the second ustream point is a land point
	332	!--- the flux is computed by the 1st order UPWIND scheme
	333	zmsk = zdir * zfu(ji,jj,jk) + ( 1. - zdir ) * zfu(ji,jj+1,jk)
	334	zwy(ji,jj,jk) = zmsk * zwy(ji,jj,jk) + ( 1. - zmsk ) * zfc(ji,jj,jk)
	335	zwy(ji,jj,jk) = zwy(ji,jj,jk) * pvn(ji,jj,jk)
[1231]	336	END DO
	337	END DO
[2528]	338	!
	339	! Computation of the trend
	340	DO jj = 2, jpjm1
	341	DO ji = fs_2, fs_jpim1 ! vector opt.
	342	zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) )
	343	! horizontal advective trends
	344	ztra = - zbtr * ( zwy(ji,jj,jk) - zwy(ji,jj-1,jk) )
	345	!--- add it to the general tracer trends
	346	pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra
[1231]	347	END DO
	348	END DO
[2528]	349	!
	350	END DO
	351	! ! trend diagnostics (contribution of upstream fluxes)
	352	IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_trd_yad, zwy, pvn, ptn(:,:,:,jn) )
	353	! ! "Poleward" heat and salt transports (contribution of upstream fluxes)
	354	IF( cdtype == 'TRA' .AND. ln_diaptr .AND. ( MOD( kt, nn_fptr ) == 0 ) ) THEN
	355	IF( jn == jp_tem ) htr_adv(:) = ptr_vj( zwy(:,:,:) )
	356	IF( jn == jp_sal ) str_adv(:) = ptr_vj( zwy(:,:,:) )
[1231]	357	ENDIF
[2528]	358	!
	359	END DO
	360	!
[2690]	361	IF( wrk_not_released(3, 1,2,3) ) CALL ctl_stop('tra_adv_qck_j: failed to release workspace arrays')
[2590]	362	!
[1559]	363	END SUBROUTINE tra_adv_qck_j
[1231]	364
	365
[2528]	366	SUBROUTINE tra_adv_cen2_k( kt, cdtype, pwn, &
	367	& ptn, pta, kjpt )
[1231]	368	!!----------------------------------------------------------------------
	369	!!
	370	!!----------------------------------------------------------------------
[2690]	371	USE oce, ONLY: zwz => ua ! ua used as workspace
	372	!
	373	INTEGER , INTENT(in ) :: kt ! ocean time-step index
	374	CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator)
	375	INTEGER , INTENT(in ) :: kjpt ! number of tracers
	376	REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pwn ! vertical velocity
	377	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptn ! before and now tracer fields
	378	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend
	379	!
[2528]	380	INTEGER :: ji, jj, jk, jn ! dummy loop indices
[2690]	381	REAL(wp) :: zbtr , ztra ! local scalars
[1559]	382	!!----------------------------------------------------------------------
[2528]	383
	384	! ! ===========
	385	DO jn = 1, kjpt ! tracer loop
	386	! ! ===========
	387	! 1. Bottom value : flux set to zero
	388	zwz(:,:,jpk) = 0.e0 ! Bottom value : flux set to zero
	389	!
	390	! ! Surface value
	391	IF( lk_vvl ) THEN ; zwz(:,:, 1 ) = 0.e0 ! Variable volume : flux set to zero
	392	ELSE ; zwz(:,:, 1 ) = pwn(:,:,1) * ptn(:,:,1,jn) ! Constant volume : advective flux through the surface
	393	ENDIF
	394	!
	395	DO jk = 2, jpkm1 ! Interior point: second order centered tracer flux at w-point
	396	DO jj = 2, jpjm1
	397	DO ji = fs_2, fs_jpim1 ! vector opt.
	398	zwz(ji,jj,jk) = 0.5 * pwn(ji,jj,jk) * ( ptn(ji,jj,jk-1,jn) + ptn(ji,jj,jk,jn) )
	399	END DO
[1231]	400	END DO
	401	END DO
[2528]	402	!
	403	DO jk = 1, jpkm1 !== Tracer flux divergence added to the general trend ==!
	404	DO jj = 2, jpjm1
	405	DO ji = fs_2, fs_jpim1 ! vector opt.
	406	zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) )
	407	! k- vertical advective trends
	408	ztra = - zbtr * ( zwz(ji,jj,jk) - zwz(ji,jj,jk+1) )
	409	! added to the general tracer trends
	410	pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra
	411	END DO
[1231]	412	END DO
	413	END DO
[2528]	414	! ! Save the vertical advective trends for diagnostic
	415	IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_trd_zad, zwz, pwn, ptn(:,:,:,jn) )
	416	!
[1231]	417	END DO
	418	!
[1559]	419	END SUBROUTINE tra_adv_cen2_k
[1231]	420
	421
[2528]	422	SUBROUTINE quickest( pfu, pfd, pfc, puc )
[1231]	423	!!----------------------------------------------------------------------
	424	!!
[2528]	425	!! ** Purpose : Computation of advective flux with Quickest scheme
	426	!!
	427	!! ** Method :
[1231]	428	!!----------------------------------------------------------------------
[2528]	429	REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pfu ! second upwind point
	430	REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pfd ! first douwning point
	431	REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pfc ! the central point (or the first upwind point)
	432	REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: puc ! input as Courant number ; output as flux
	433	!!
	434	INTEGER :: ji, jj, jk ! dummy loop indices
	435	REAL(wp) :: zcoef1, zcoef2, zcoef3 ! local scalars
	436	REAL(wp) :: zc, zcurv, zfho ! - -
	437	!----------------------------------------------------------------------
	438
	439	DO jk = 1, jpkm1
	440	DO jj = 1, jpj
	441	DO ji = 1, jpi
	442	zc = puc(ji,jj,jk) ! Courant number
	443	zcurv = pfd(ji,jj,jk) + pfu(ji,jj,jk) - 2. * pfc(ji,jj,jk)
	444	zcoef1 = 0.5 * ( pfc(ji,jj,jk) + pfd(ji,jj,jk) )
	445	zcoef2 = 0.5 * zc * ( pfd(ji,jj,jk) - pfc(ji,jj,jk) )
	446	zcoef3 = ( 1. - ( zc * zc ) ) * r1_6 * zcurv
	447	zfho = zcoef1 - zcoef2 - zcoef3 ! phi_f QUICKEST
	448	!
	449	zcoef1 = pfd(ji,jj,jk) - pfu(ji,jj,jk)
	450	zcoef2 = ABS( zcoef1 )
	451	zcoef3 = ABS( zcurv )
	452	IF( zcoef3 >= zcoef2 ) THEN
	453	zfho = pfc(ji,jj,jk)
	454	ELSE
	455	zcoef3 = pfu(ji,jj,jk) + ( ( pfc(ji,jj,jk) - pfu(ji,jj,jk) ) / MAX( zc, 1.e-9 ) ) ! phi_REF
	456	IF( zcoef1 >= 0. ) THEN
	457	zfho = MAX( pfc(ji,jj,jk), zfho )
	458	zfho = MIN( zfho, MIN( zcoef3, pfd(ji,jj,jk) ) )
	459	ELSE
	460	zfho = MIN( pfc(ji,jj,jk), zfho )
	461	zfho = MAX( zfho, MAX( zcoef3, pfd(ji,jj,jk) ) )
	462	ENDIF
	463	ENDIF
	464	puc(ji,jj,jk) = zfho
	465	END DO
	466	END DO
	467	END DO
[1231]	468	!
	469	END SUBROUTINE quickest
	470
	471	!!======================================================================
	472	END MODULE traadv_qck

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source: branches/dev_r2586_dynamic_mem/NEMOGCM/NEMO/OPA_SRC/TRA/traadv_qck.F90 @ 2690

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