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traadv_qck.F90 @ 10774

Last change on this file since 10774 was 10774, checked in by andmirek, 5 years ago
GMED 450 add flush after prints
File size: 24.0 KB

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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
[4990]	19	USE trc_oce ! share passive tracers/Ocean variables
	20	USE trd_oce ! trends: ocean variables
	21	USE trdtra ! trends manager: tracers
	22	USE dynspg_oce ! surface pressure gradient variables
	23	USE diaptr ! poleward transport diagnostics
	24	!
[1231]	25	USE lib_mpp ! distribued memory computing
	26	USE lbclnk ! ocean lateral boundary condition (or mpp link)
	27	USE in_out_manager ! I/O manager
[3294]	28	USE wrk_nemo ! Memory Allocation
	29	USE timing ! Timing
[3625]	30	USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined)
[1231]	31
	32	IMPLICIT NONE
	33	PRIVATE
	34
[1559]	35	PUBLIC tra_adv_qck ! routine called by step.F90
[1231]	36
[2528]	37	LOGICAL :: l_trd ! flag to compute trends
	38	REAL(wp) :: r1_6 = 1./ 6. ! 1/6 ratio
[1559]	39
[1231]	40	!! * Substitutions
	41	# include "domzgr_substitute.h90"
	42	# include "vectopt_loop_substitute.h90"
	43	!!----------------------------------------------------------------------
[2528]	44	!! NEMO/OPA 3.3 , NEMO Consortium (2010)
[1231]	45	!! $Id$
[2528]	46	!! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt)
[1231]	47	!!----------------------------------------------------------------------
	48	CONTAINS
	49
[3294]	50	SUBROUTINE tra_adv_qck ( kt, kit000, cdtype, p2dt, pun, pvn, pwn, &
[2528]	51	& ptb, ptn, pta, kjpt )
[1231]	52	!!----------------------------------------------------------------------
	53	!! * ROUTINE tra_adv_qck *
	54	!!
	55	!! ** Purpose : Compute the now trend due to the advection of tracers
	56	!! and add it to the general trend of passive tracer equations.
	57	!!
	58	!! ** Method : The advection is evaluated by a third order scheme
[1559]	59	!! For a positive velocity u : u(i)>0
	60	!! \|--FU--\|--FC--\|--FD--\|------\|
	61	!! i-1 i i+1 i+2
[1231]	62	!!
[1559]	63	!! For a negative velocity u : u(i)<0
	64	!! \|------\|--FD--\|--FC--\|--FU--\|
	65	!! i-1 i i+1 i+2
	66	!! where FU is the second upwind point
	67	!! FD is the first douwning point
	68	!! FC is the central point (or the first upwind point)
[1231]	69	!!
[1559]	70	!! Flux(i) = u(i) * { 0.5(FC+FD) -0.5C(i)(FD-FC) -((1-C(i))/6)(FU+FD-2FC) }
	71	!! with C(i)=\|u(i)\|dx(i)/dt (=Courant number)
[1231]	72	!!
	73	!! dt = 2*rdtra and the scalar values are tb and sb
	74	!!
[2528]	75	!! On the vertical, the simple centered scheme used ptn
[1231]	76	!!
[1559]	77	!! The fluxes are bounded by the ULTIMATE limiter to
	78	!! guarantee the monotonicity of the solution and to
[1231]	79	!! prevent the appearance of spurious numerical oscillations
	80	!!
[2528]	81	!! ** Action : - update (pta) with the now advective tracer trends
	82	!! - save the trends
[1231]	83	!!
	84	!! ** Reference : Leonard (1979, 1991)
	85	!!----------------------------------------------------------------------
[2528]	86	INTEGER , INTENT(in ) :: kt ! ocean time-step index
[3294]	87	INTEGER , INTENT(in ) :: kit000 ! first time step index
[2528]	88	CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator)
	89	INTEGER , INTENT(in ) :: kjpt ! number of tracers
	90	REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step
	91	REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean velocity components
	92	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields
	93	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend
[1231]	94	!!----------------------------------------------------------------------
[3294]	95	!
	96	IF( nn_timing == 1 ) CALL timing_start('tra_adv_qck')
	97	!
	98	IF( kt == kit000 ) THEN
[1231]	99	IF(lwp) WRITE(numout,*)
[2528]	100	IF(lwp) WRITE(numout,*) 'tra_adv_qck : 3rd order quickest advection scheme on ', cdtype
[1231]	101	IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~'
	102	IF(lwp) WRITE(numout,*)
[10774]	103	IF(lwp .AND. lflush) CALL flush(numout)
[1231]	104	ENDIF
[4990]	105	l_trd = .FALSE.
	106	IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE.
[4499]	107	!
[1231]	108	! I. The horizontal fluxes are computed with the QUICKEST + ULTIMATE scheme
[2528]	109	CALL tra_adv_qck_i( kt, cdtype, p2dt, pun, ptb, ptn, pta, kjpt )
	110	CALL tra_adv_qck_j( kt, cdtype, p2dt, pvn, ptb, ptn, pta, kjpt )
[1231]	111
	112	! II. The vertical fluxes are computed with the 2nd order centered scheme
[2528]	113	CALL tra_adv_cen2_k( kt, cdtype, pwn, ptn, pta, kjpt )
[1231]	114	!
[3294]	115	IF( nn_timing == 1 ) CALL timing_stop('tra_adv_qck')
	116	!
[1231]	117	END SUBROUTINE tra_adv_qck
	118
	119
[2528]	120	SUBROUTINE tra_adv_qck_i( kt, cdtype, p2dt, pun, &
	121	& ptb, ptn, pta, kjpt )
[1231]	122	!!----------------------------------------------------------------------
	123	!!
	124	!!----------------------------------------------------------------------
[2715]	125	INTEGER , INTENT(in ) :: kt ! ocean time-step index
	126	CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator)
	127	INTEGER , INTENT(in ) :: kjpt ! number of tracers
	128	REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step
	129	REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun ! i-velocity components
	130	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields
	131	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend
[2528]	132	!!
[2715]	133	INTEGER :: ji, jj, jk, jn ! dummy loop indices
	134	REAL(wp) :: ztra, zbtr, zdir, zdx, zdt, zmsk ! local scalars
[4990]	135	REAL(wp), POINTER, DIMENSION(:,:,:) :: zwx, zfu, zfc, zfd
[1231]	136	!----------------------------------------------------------------------
[2715]	137	!
[4990]	138	CALL wrk_alloc( jpi, jpj, jpk, zwx, zfu, zfc, zfd )
[2528]	139	! ! ===========
	140	DO jn = 1, kjpt ! tracer loop
	141	! ! ===========
	142	zfu(:,:,:) = 0.0 ; zfc(:,:,:) = 0.0
	143	zfd(:,:,:) = 0.0 ; zwx(:,:,:) = 0.0
	144	!
	145	DO jk = 1, jpkm1
	146	!
	147	!--- Computation of the ustream and downstream value of the tracer and the mask
	148	DO jj = 2, jpjm1
	149	DO ji = fs_2, fs_jpim1 ! vector opt.
	150	! Upstream in the x-direction for the tracer
	151	zfc(ji,jj,jk) = ptb(ji-1,jj,jk,jn)
	152	! Downstream in the x-direction for the tracer
	153	zfd(ji,jj,jk) = ptb(ji+1,jj,jk,jn)
	154	END DO
[1559]	155	END DO
	156	END DO
[2528]	157	CALL lbc_lnk( zfc(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zfd(:,:,:), 'T', 1. ) ! Lateral boundary conditions
	158
[1231]	159	!
	160	! Horizontal advective fluxes
	161	! ---------------------------
	162	!
[2528]	163	DO jk = 1, jpkm1
	164	DO jj = 2, jpjm1
	165	DO ji = fs_2, fs_jpim1 ! vector opt.
	166	zdir = 0.5 + SIGN( 0.5, pun(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0
	167	zfu(ji,jj,jk) = zdir * zfc(ji,jj,jk ) + ( 1. - zdir ) * zfd(ji+1,jj,jk) ! FU in the x-direction for T
	168	END DO
	169	END DO
[1559]	170	END DO
[1231]	171	!
[2528]	172	DO jk = 1, jpkm1
	173	zdt = p2dt(jk)
	174	DO jj = 2, jpjm1
	175	DO ji = fs_2, fs_jpim1 ! vector opt.
	176	zdir = 0.5 + SIGN( 0.5, pun(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0
[3301]	177	zdx = ( zdir * e1t(ji,jj) + ( 1. - zdir ) * e1t(ji+1,jj) ) * e2u(ji,jj) * fse3u(ji,jj,jk)
[2528]	178	zwx(ji,jj,jk) = ABS( pun(ji,jj,jk) ) * zdt / zdx ! (0<zc_cfl<1 : Courant number on x-direction)
	179	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
	180	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
	181	END DO
	182	END DO
	183	END DO
	184	!--- Lateral boundary conditions
	185	CALL lbc_lnk( zfu(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zfd(:,:,:), 'T', 1. )
	186	CALL lbc_lnk( zfc(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zwx(:,:,:), 'T', 1. )
	187
[1231]	188	!--- QUICKEST scheme
[2528]	189	CALL quickest( zfu, zfd, zfc, zwx )
[1231]	190	!
[2528]	191	! Mask at the T-points in the x-direction (mask=0 or mask=1)
	192	DO jk = 1, jpkm1
	193	DO jj = 2, jpjm1
	194	DO ji = fs_2, fs_jpim1 ! vector opt.
	195	zfu(ji,jj,jk) = tmask(ji-1,jj,jk) + tmask(ji,jj,jk) + tmask(ji+1,jj,jk) - 2.
[2715]	196	END DO
[1231]	197	END DO
	198	END DO
[2528]	199	CALL lbc_lnk( zfu(:,:,:), 'T', 1. ) ! Lateral boundary conditions
	200
[1231]	201	!
[2528]	202	! Tracer flux on the x-direction
	203	DO jk = 1, jpkm1
	204	!
[1231]	205	DO jj = 2, jpjm1
[2528]	206	DO ji = fs_2, fs_jpim1 ! vector opt.
	207	zdir = 0.5 + SIGN( 0.5, pun(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0
	208	!--- If the second ustream point is a land point
	209	!--- the flux is computed by the 1st order UPWIND scheme
	210	zmsk = zdir * zfu(ji,jj,jk) + ( 1. - zdir ) * zfu(ji+1,jj,jk)
	211	zwx(ji,jj,jk) = zmsk * zwx(ji,jj,jk) + ( 1. - zmsk ) * zfc(ji,jj,jk)
	212	zwx(ji,jj,jk) = zwx(ji,jj,jk) * pun(ji,jj,jk)
[1231]	213	END DO
	214	END DO
[3300]	215	END DO
	216	!
	217	CALL lbc_lnk( zwx(:,:,:), 'T', 1. ) ! Lateral boundary conditions
	218	!
	219	! Computation of the trend
	220	DO jk = 1, jpkm1
[2528]	221	DO jj = 2, jpjm1
	222	DO ji = fs_2, fs_jpim1 ! vector opt.
	223	zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) )
	224	! horizontal advective trends
	225	ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji-1,jj,jk) )
	226	!--- add it to the general tracer trends
	227	pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra
	228	END DO
	229	END DO
[1231]	230	END DO
[2528]	231	! ! trend diagnostics (contribution of upstream fluxes)
[4990]	232	IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_xad, zwx, pun, ptn(:,:,:,jn) )
[2528]	233	!
	234	END DO
	235	!
[4990]	236	CALL wrk_dealloc( jpi, jpj, jpk, zwx, zfu, zfc, zfd )
[2715]	237	!
[1559]	238	END SUBROUTINE tra_adv_qck_i
[1231]	239
	240
[2528]	241	SUBROUTINE tra_adv_qck_j( kt, cdtype, p2dt, pvn, &
	242	& ptb, ptn, pta, kjpt )
[1231]	243	!!----------------------------------------------------------------------
	244	!!
	245	!!----------------------------------------------------------------------
[2715]	246	INTEGER , INTENT(in ) :: kt ! ocean time-step index
	247	CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator)
	248	INTEGER , INTENT(in ) :: kjpt ! number of tracers
	249	REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step
	250	REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pvn ! j-velocity components
	251	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields
	252	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend
[1559]	253	!!
[2715]	254	INTEGER :: ji, jj, jk, jn ! dummy loop indices
	255	REAL(wp) :: ztra, zbtr, zdir, zdx, zdt, zmsk ! local scalars
[4990]	256	REAL(wp), POINTER, DIMENSION(:,:,:) :: zwy, zfu, zfc, zfd
[1231]	257	!----------------------------------------------------------------------
[2715]	258	!
[4990]	259	CALL wrk_alloc( jpi, jpj, jpk, zwy, zfu, zfc, zfd )
[3294]	260	!
[2528]	261	! ! ===========
	262	DO jn = 1, kjpt ! tracer loop
	263	! ! ===========
	264	zfu(:,:,:) = 0.0 ; zfc(:,:,:) = 0.0
	265	zfd(:,:,:) = 0.0 ; zwy(:,:,:) = 0.0
	266	!
	267	DO jk = 1, jpkm1
	268	!
	269	!--- Computation of the ustream and downstream value of the tracer and the mask
	270	DO jj = 2, jpjm1
	271	DO ji = fs_2, fs_jpim1 ! vector opt.
	272	! Upstream in the x-direction for the tracer
	273	zfc(ji,jj,jk) = ptb(ji,jj-1,jk,jn)
	274	! Downstream in the x-direction for the tracer
	275	zfd(ji,jj,jk) = ptb(ji,jj+1,jk,jn)
	276	END DO
[1559]	277	END DO
	278	END DO
[2528]	279	CALL lbc_lnk( zfc(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zfd(:,:,:), 'T', 1. ) ! Lateral boundary conditions
	280
	281
[1231]	282	!
	283	! Horizontal advective fluxes
	284	! ---------------------------
	285	!
[2528]	286	DO jk = 1, jpkm1
	287	DO jj = 2, jpjm1
	288	DO ji = fs_2, fs_jpim1 ! vector opt.
	289	zdir = 0.5 + SIGN( 0.5, pvn(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0
	290	zfu(ji,jj,jk) = zdir * zfc(ji,jj,jk ) + ( 1. - zdir ) * zfd(ji,jj+1,jk) ! FU in the x-direction for T
	291	END DO
[1559]	292	END DO
	293	END DO
[1231]	294	!
[2528]	295	DO jk = 1, jpkm1
	296	zdt = p2dt(jk)
	297	DO jj = 2, jpjm1
	298	DO ji = fs_2, fs_jpim1 ! vector opt.
	299	zdir = 0.5 + SIGN( 0.5, pvn(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0
[3301]	300	zdx = ( zdir * e2t(ji,jj) + ( 1. - zdir ) * e2t(ji,jj+1) ) * e1v(ji,jj) * fse3v(ji,jj,jk)
[2528]	301	zwy(ji,jj,jk) = ABS( pvn(ji,jj,jk) ) * zdt / zdx ! (0<zc_cfl<1 : Courant number on x-direction)
	302	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
	303	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
	304	END DO
	305	END DO
	306	END DO
	307
	308	!--- Lateral boundary conditions
	309	CALL lbc_lnk( zfu(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zfd(:,:,:), 'T', 1. )
	310	CALL lbc_lnk( zfc(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zwy(:,:,:), 'T', 1. )
	311
[1231]	312	!--- QUICKEST scheme
[2528]	313	CALL quickest( zfu, zfd, zfc, zwy )
[1231]	314	!
[2528]	315	! Mask at the T-points in the x-direction (mask=0 or mask=1)
	316	DO jk = 1, jpkm1
	317	DO jj = 2, jpjm1
	318	DO ji = fs_2, fs_jpim1 ! vector opt.
	319	zfu(ji,jj,jk) = tmask(ji,jj-1,jk) + tmask(ji,jj,jk) + tmask(ji,jj+1,jk) - 2.
	320	END DO
[1231]	321	END DO
	322	END DO
[2528]	323	!--- Lateral boundary conditions
	324	CALL lbc_lnk( zfu(:,:,:), 'T', 1. )
	325	!
	326	! Tracer flux on the x-direction
	327	DO jk = 1, jpkm1
	328	!
[1231]	329	DO jj = 2, jpjm1
[2528]	330	DO ji = fs_2, fs_jpim1 ! vector opt.
	331	zdir = 0.5 + SIGN( 0.5, pvn(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0
	332	!--- If the second ustream point is a land point
	333	!--- the flux is computed by the 1st order UPWIND scheme
	334	zmsk = zdir * zfu(ji,jj,jk) + ( 1. - zdir ) * zfu(ji,jj+1,jk)
	335	zwy(ji,jj,jk) = zmsk * zwy(ji,jj,jk) + ( 1. - zmsk ) * zfc(ji,jj,jk)
	336	zwy(ji,jj,jk) = zwy(ji,jj,jk) * pvn(ji,jj,jk)
[1231]	337	END DO
	338	END DO
[3300]	339	END DO
	340	!
	341	CALL lbc_lnk( zwy(:,:,:), 'T', 1. ) ! Lateral boundary conditions
	342	!
	343	! Computation of the trend
	344	DO jk = 1, jpkm1
[2528]	345	DO jj = 2, jpjm1
	346	DO ji = fs_2, fs_jpim1 ! vector opt.
	347	zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) )
	348	! horizontal advective trends
	349	ztra = - zbtr * ( zwy(ji,jj,jk) - zwy(ji,jj-1,jk) )
	350	!--- add it to the general tracer trends
	351	pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra
[1231]	352	END DO
	353	END DO
[2528]	354	END DO
	355	! ! trend diagnostics (contribution of upstream fluxes)
[4990]	356	IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_yad, zwy, pvn, ptn(:,:,:,jn) )
[2528]	357	! ! "Poleward" heat and salt transports (contribution of upstream fluxes)
[7179]	358	IF( cdtype == 'TRA' .AND. ln_diaptr ) CALL dia_ptr_ohst_components( jn, 'adv', zwy(:,:,:) )
[2528]	359	!
	360	END DO
	361	!
[4990]	362	CALL wrk_dealloc( jpi, jpj, jpk, zwy, zfu, zfc, zfd )
[2715]	363	!
[1559]	364	END SUBROUTINE tra_adv_qck_j
[1231]	365
	366
[2528]	367	SUBROUTINE tra_adv_cen2_k( kt, cdtype, pwn, &
	368	& ptn, pta, kjpt )
[1231]	369	!!----------------------------------------------------------------------
	370	!!
	371	!!----------------------------------------------------------------------
[2715]	372	INTEGER , INTENT(in ) :: kt ! ocean time-step index
	373	CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator)
	374	INTEGER , INTENT(in ) :: kjpt ! number of tracers
	375	REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pwn ! vertical velocity
	376	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptn ! before and now tracer fields
	377	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend
	378	!
[2528]	379	INTEGER :: ji, jj, jk, jn ! dummy loop indices
[2715]	380	REAL(wp) :: zbtr , ztra ! local scalars
[4990]	381	REAL(wp), POINTER, DIMENSION(:,:,:) :: zwz
[1559]	382	!!----------------------------------------------------------------------
[4990]	383	!
	384	CALL wrk_alloc( jpi, jpj, jpk, zwz )
[2528]	385	! ! ===========
	386	DO jn = 1, kjpt ! tracer loop
	387	! ! ===========
	388	! 1. Bottom value : flux set to zero
	389	zwz(:,:,jpk) = 0.e0 ! Bottom value : flux set to zero
	390	!
	391	! ! Surface value
	392	IF( lk_vvl ) THEN ; zwz(:,:, 1 ) = 0.e0 ! Variable volume : flux set to zero
	393	ELSE ; zwz(:,:, 1 ) = pwn(:,:,1) * ptn(:,:,1,jn) ! Constant volume : advective flux through the surface
	394	ENDIF
	395	!
	396	DO jk = 2, jpkm1 ! Interior point: second order centered tracer flux at w-point
	397	DO jj = 2, jpjm1
	398	DO ji = fs_2, fs_jpim1 ! vector opt.
	399	zwz(ji,jj,jk) = 0.5 * pwn(ji,jj,jk) * ( ptn(ji,jj,jk-1,jn) + ptn(ji,jj,jk,jn) )
	400	END DO
[1231]	401	END DO
	402	END DO
[2528]	403	!
	404	DO jk = 1, jpkm1 !== Tracer flux divergence added to the general trend ==!
	405	DO jj = 2, jpjm1
	406	DO ji = fs_2, fs_jpim1 ! vector opt.
	407	zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) )
	408	! k- vertical advective trends
	409	ztra = - zbtr * ( zwz(ji,jj,jk) - zwz(ji,jj,jk+1) )
	410	! added to the general tracer trends
	411	pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra
	412	END DO
[1231]	413	END DO
	414	END DO
[2528]	415	! ! Save the vertical advective trends for diagnostic
[4990]	416	IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_zad, zwz, pwn, ptn(:,:,:,jn) )
[2528]	417	!
[1231]	418	END DO
	419	!
[4990]	420	CALL wrk_dealloc( jpi, jpj, jpk, zwz )
	421	!
[1559]	422	END SUBROUTINE tra_adv_cen2_k
[1231]	423
	424
[2528]	425	SUBROUTINE quickest( pfu, pfd, pfc, puc )
[1231]	426	!!----------------------------------------------------------------------
	427	!!
[2528]	428	!! ** Purpose : Computation of advective flux with Quickest scheme
	429	!!
	430	!! ** Method :
[1231]	431	!!----------------------------------------------------------------------
[2528]	432	REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pfu ! second upwind point
	433	REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pfd ! first douwning point
	434	REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pfc ! the central point (or the first upwind point)
	435	REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: puc ! input as Courant number ; output as flux
	436	!!
	437	INTEGER :: ji, jj, jk ! dummy loop indices
	438	REAL(wp) :: zcoef1, zcoef2, zcoef3 ! local scalars
	439	REAL(wp) :: zc, zcurv, zfho ! - -
	440	!----------------------------------------------------------------------
[3294]	441	!
	442	IF( nn_timing == 1 ) CALL timing_start('quickest')
	443	!
[2528]	444	DO jk = 1, jpkm1
	445	DO jj = 1, jpj
	446	DO ji = 1, jpi
	447	zc = puc(ji,jj,jk) ! Courant number
	448	zcurv = pfd(ji,jj,jk) + pfu(ji,jj,jk) - 2. * pfc(ji,jj,jk)
	449	zcoef1 = 0.5 * ( pfc(ji,jj,jk) + pfd(ji,jj,jk) )
	450	zcoef2 = 0.5 * zc * ( pfd(ji,jj,jk) - pfc(ji,jj,jk) )
	451	zcoef3 = ( 1. - ( zc * zc ) ) * r1_6 * zcurv
	452	zfho = zcoef1 - zcoef2 - zcoef3 ! phi_f QUICKEST
	453	!
	454	zcoef1 = pfd(ji,jj,jk) - pfu(ji,jj,jk)
	455	zcoef2 = ABS( zcoef1 )
	456	zcoef3 = ABS( zcurv )
	457	IF( zcoef3 >= zcoef2 ) THEN
	458	zfho = pfc(ji,jj,jk)
	459	ELSE
	460	zcoef3 = pfu(ji,jj,jk) + ( ( pfc(ji,jj,jk) - pfu(ji,jj,jk) ) / MAX( zc, 1.e-9 ) ) ! phi_REF
	461	IF( zcoef1 >= 0. ) THEN
	462	zfho = MAX( pfc(ji,jj,jk), zfho )
	463	zfho = MIN( zfho, MIN( zcoef3, pfd(ji,jj,jk) ) )
	464	ELSE
	465	zfho = MIN( pfc(ji,jj,jk), zfho )
	466	zfho = MAX( zfho, MAX( zcoef3, pfd(ji,jj,jk) ) )
	467	ENDIF
	468	ENDIF
	469	puc(ji,jj,jk) = zfho
	470	END DO
	471	END DO
	472	END DO
[1231]	473	!
[3294]	474	IF( nn_timing == 1 ) CALL timing_stop('quickest')
	475	!
[1231]	476	END SUBROUTINE quickest
	477
	478	!!======================================================================
	479	END MODULE traadv_qck

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source: branches/UKMO/dev_r5518_GO6_package_text_diagnostics/NEMOGCM/NEMO/OPA_SRC/TRA/traadv_qck.F90 @ 10774

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