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traadv_qck.F90 @ 9295

Last change on this file since 9295 was 9295, checked in by jcastill, 6 years ago
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File size: 24.1 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,*)
	103	ENDIF
[4990]	104	l_trd = .FALSE.
	105	IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE.
[4499]	106	!
[1231]	107	! I. The horizontal fluxes are computed with the QUICKEST + ULTIMATE scheme
[2528]	108	CALL tra_adv_qck_i( kt, cdtype, p2dt, pun, ptb, ptn, pta, kjpt )
	109	CALL tra_adv_qck_j( kt, cdtype, p2dt, pvn, ptb, ptn, pta, kjpt )
[1231]	110
	111	! II. The vertical fluxes are computed with the 2nd order centered scheme
[2528]	112	CALL tra_adv_cen2_k( kt, cdtype, pwn, ptn, pta, kjpt )
[1231]	113	!
[3294]	114	IF( nn_timing == 1 ) CALL timing_stop('tra_adv_qck')
	115	!
[1231]	116	END SUBROUTINE tra_adv_qck
	117
	118
[2528]	119	SUBROUTINE tra_adv_qck_i( kt, cdtype, p2dt, pun, &
	120	& ptb, ptn, pta, kjpt )
[1231]	121	!!----------------------------------------------------------------------
	122	!!
	123	!!----------------------------------------------------------------------
[2715]	124	INTEGER , INTENT(in ) :: kt ! ocean time-step index
	125	CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator)
	126	INTEGER , INTENT(in ) :: kjpt ! number of tracers
	127	REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step
	128	REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun ! i-velocity components
	129	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields
	130	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend
[2528]	131	!!
[2715]	132	INTEGER :: ji, jj, jk, jn ! dummy loop indices
	133	REAL(wp) :: ztra, zbtr, zdir, zdx, zdt, zmsk ! local scalars
[4990]	134	REAL(wp), POINTER, DIMENSION(:,:,:) :: zwx, zfu, zfc, zfd
[1231]	135	!----------------------------------------------------------------------
[2715]	136	!
[4990]	137	CALL wrk_alloc( jpi, jpj, jpk, zwx, zfu, zfc, zfd )
[2528]	138	! ! ===========
	139	DO jn = 1, kjpt ! tracer loop
	140	! ! ===========
	141	zfu(:,:,:) = 0.0 ; zfc(:,:,:) = 0.0
	142	zfd(:,:,:) = 0.0 ; zwx(:,:,:) = 0.0
	143	!
	144	DO jk = 1, jpkm1
	145	!
	146	!--- Computation of the ustream and downstream value of the tracer and the mask
	147	DO jj = 2, jpjm1
	148	DO ji = fs_2, fs_jpim1 ! vector opt.
	149	! Upstream in the x-direction for the tracer
	150	zfc(ji,jj,jk) = ptb(ji-1,jj,jk,jn)
	151	! Downstream in the x-direction for the tracer
	152	zfd(ji,jj,jk) = ptb(ji+1,jj,jk,jn)
	153	END DO
[1559]	154	END DO
	155	END DO
[2528]	156	CALL lbc_lnk( zfc(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zfd(:,:,:), 'T', 1. ) ! Lateral boundary conditions
	157
[1231]	158	!
	159	! Horizontal advective fluxes
	160	! ---------------------------
	161	!
[2528]	162	DO jk = 1, jpkm1
	163	DO jj = 2, jpjm1
	164	DO ji = fs_2, fs_jpim1 ! vector opt.
	165	zdir = 0.5 + SIGN( 0.5, pun(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0
	166	zfu(ji,jj,jk) = zdir * zfc(ji,jj,jk ) + ( 1. - zdir ) * zfd(ji+1,jj,jk) ! FU in the x-direction for T
	167	END DO
	168	END DO
[1559]	169	END DO
[1231]	170	!
[2528]	171	DO jk = 1, jpkm1
	172	zdt = p2dt(jk)
	173	DO jj = 2, jpjm1
	174	DO ji = fs_2, fs_jpim1 ! vector opt.
	175	zdir = 0.5 + SIGN( 0.5, pun(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0
[3301]	176	zdx = ( zdir * e1t(ji,jj) + ( 1. - zdir ) * e1t(ji+1,jj) ) * e2u(ji,jj) * fse3u(ji,jj,jk)
[2528]	177	zwx(ji,jj,jk) = ABS( pun(ji,jj,jk) ) * zdt / zdx ! (0<zc_cfl<1 : Courant number on x-direction)
	178	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
	179	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
	180	END DO
	181	END DO
	182	END DO
	183	!--- Lateral boundary conditions
	184	CALL lbc_lnk( zfu(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zfd(:,:,:), 'T', 1. )
	185	CALL lbc_lnk( zfc(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zwx(:,:,:), 'T', 1. )
	186
[1231]	187	!--- QUICKEST scheme
[2528]	188	CALL quickest( zfu, zfd, zfc, zwx )
[1231]	189	!
[2528]	190	! Mask at the T-points in the x-direction (mask=0 or mask=1)
	191	DO jk = 1, jpkm1
	192	DO jj = 2, jpjm1
	193	DO ji = fs_2, fs_jpim1 ! vector opt.
	194	zfu(ji,jj,jk) = tmask(ji-1,jj,jk) + tmask(ji,jj,jk) + tmask(ji+1,jj,jk) - 2.
[2715]	195	END DO
[1231]	196	END DO
	197	END DO
[2528]	198	CALL lbc_lnk( zfu(:,:,:), 'T', 1. ) ! Lateral boundary conditions
	199
[1231]	200	!
[2528]	201	! Tracer flux on the x-direction
	202	DO jk = 1, jpkm1
	203	!
[1231]	204	DO jj = 2, jpjm1
[2528]	205	DO ji = fs_2, fs_jpim1 ! vector opt.
	206	zdir = 0.5 + SIGN( 0.5, pun(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0
	207	!--- If the second ustream point is a land point
	208	!--- the flux is computed by the 1st order UPWIND scheme
	209	zmsk = zdir * zfu(ji,jj,jk) + ( 1. - zdir ) * zfu(ji+1,jj,jk)
	210	zwx(ji,jj,jk) = zmsk * zwx(ji,jj,jk) + ( 1. - zmsk ) * zfc(ji,jj,jk)
	211	zwx(ji,jj,jk) = zwx(ji,jj,jk) * pun(ji,jj,jk)
[1231]	212	END DO
	213	END DO
[3300]	214	END DO
	215	!
	216	CALL lbc_lnk( zwx(:,:,:), 'T', 1. ) ! Lateral boundary conditions
	217	!
	218	! Computation of the trend
	219	DO jk = 1, jpkm1
[2528]	220	DO jj = 2, jpjm1
	221	DO ji = fs_2, fs_jpim1 ! vector opt.
	222	zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) )
	223	! horizontal advective trends
	224	ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji-1,jj,jk) )
	225	!--- add it to the general tracer trends
	226	pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra
	227	END DO
	228	END DO
[1231]	229	END DO
[2528]	230	! ! trend diagnostics (contribution of upstream fluxes)
[4990]	231	IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_xad, zwx, pun, ptn(:,:,:,jn) )
[2528]	232	!
	233	END DO
	234	!
[4990]	235	CALL wrk_dealloc( jpi, jpj, jpk, zwx, zfu, zfc, zfd )
[2715]	236	!
[1559]	237	END SUBROUTINE tra_adv_qck_i
[1231]	238
	239
[2528]	240	SUBROUTINE tra_adv_qck_j( kt, cdtype, p2dt, pvn, &
	241	& ptb, ptn, pta, kjpt )
[1231]	242	!!----------------------------------------------------------------------
	243	!!
	244	!!----------------------------------------------------------------------
[2715]	245	INTEGER , INTENT(in ) :: kt ! ocean time-step index
	246	CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator)
	247	INTEGER , INTENT(in ) :: kjpt ! number of tracers
	248	REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step
	249	REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pvn ! j-velocity components
	250	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields
	251	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend
[1559]	252	!!
[2715]	253	INTEGER :: ji, jj, jk, jn ! dummy loop indices
	254	REAL(wp) :: ztra, zbtr, zdir, zdx, zdt, zmsk ! local scalars
[4990]	255	REAL(wp), POINTER, DIMENSION(:,:,:) :: zwy, zfu, zfc, zfd
[1231]	256	!----------------------------------------------------------------------
[2715]	257	!
[4990]	258	CALL wrk_alloc( jpi, jpj, jpk, zwy, zfu, zfc, zfd )
[3294]	259	!
[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
[3301]	299	zdx = ( zdir * e2t(ji,jj) + ( 1. - zdir ) * e2t(ji,jj+1) ) * e1v(ji,jj) * fse3v(ji,jj,jk)
[2528]	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
[3300]	338	END DO
	339	!
	340	CALL lbc_lnk( zwy(:,:,:), 'T', 1. ) ! Lateral boundary conditions
	341	!
	342	! Computation of the trend
	343	DO jk = 1, jpkm1
[2528]	344	DO jj = 2, jpjm1
	345	DO ji = fs_2, fs_jpim1 ! vector opt.
	346	zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) )
	347	! horizontal advective trends
	348	ztra = - zbtr * ( zwy(ji,jj,jk) - zwy(ji,jj-1,jk) )
	349	!--- add it to the general tracer trends
	350	pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra
[1231]	351	END DO
	352	END DO
[2528]	353	END DO
	354	! ! trend diagnostics (contribution of upstream fluxes)
[4990]	355	IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_yad, zwy, pvn, ptn(:,:,:,jn) )
[2528]	356	! ! "Poleward" heat and salt transports (contribution of upstream fluxes)
[5147]	357	IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN
	358	IF( jn == jp_tem ) htr_adv(:) = ptr_sj( zwy(:,:,:) )
	359	IF( jn == jp_sal ) str_adv(:) = ptr_sj( zwy(:,:,:) )
[1231]	360	ENDIF
[2528]	361	!
	362	END DO
	363	!
[4990]	364	CALL wrk_dealloc( jpi, jpj, jpk, zwy, zfu, zfc, zfd )
[2715]	365	!
[1559]	366	END SUBROUTINE tra_adv_qck_j
[1231]	367
	368
[2528]	369	SUBROUTINE tra_adv_cen2_k( kt, cdtype, pwn, &
	370	& ptn, pta, kjpt )
[1231]	371	!!----------------------------------------------------------------------
	372	!!
	373	!!----------------------------------------------------------------------
[2715]	374	INTEGER , INTENT(in ) :: kt ! ocean time-step index
	375	CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator)
	376	INTEGER , INTENT(in ) :: kjpt ! number of tracers
	377	REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pwn ! vertical velocity
	378	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptn ! before and now tracer fields
	379	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend
	380	!
[2528]	381	INTEGER :: ji, jj, jk, jn ! dummy loop indices
[2715]	382	REAL(wp) :: zbtr , ztra ! local scalars
[4990]	383	REAL(wp), POINTER, DIMENSION(:,:,:) :: zwz
[1559]	384	!!----------------------------------------------------------------------
[4990]	385	!
	386	CALL wrk_alloc( jpi, jpj, jpk, zwz )
[2528]	387	! ! ===========
	388	DO jn = 1, kjpt ! tracer loop
	389	! ! ===========
	390	! 1. Bottom value : flux set to zero
	391	zwz(:,:,jpk) = 0.e0 ! Bottom value : flux set to zero
	392	!
	393	! ! Surface value
	394	IF( lk_vvl ) THEN ; zwz(:,:, 1 ) = 0.e0 ! Variable volume : flux set to zero
	395	ELSE ; zwz(:,:, 1 ) = pwn(:,:,1) * ptn(:,:,1,jn) ! Constant volume : advective flux through the surface
	396	ENDIF
	397	!
	398	DO jk = 2, jpkm1 ! Interior point: second order centered tracer flux at w-point
	399	DO jj = 2, jpjm1
	400	DO ji = fs_2, fs_jpim1 ! vector opt.
	401	zwz(ji,jj,jk) = 0.5 * pwn(ji,jj,jk) * ( ptn(ji,jj,jk-1,jn) + ptn(ji,jj,jk,jn) )
	402	END DO
[1231]	403	END DO
	404	END DO
[2528]	405	!
	406	DO jk = 1, jpkm1 !== Tracer flux divergence added to the general trend ==!
	407	DO jj = 2, jpjm1
	408	DO ji = fs_2, fs_jpim1 ! vector opt.
	409	zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) )
	410	! k- vertical advective trends
	411	ztra = - zbtr * ( zwz(ji,jj,jk) - zwz(ji,jj,jk+1) )
	412	! added to the general tracer trends
	413	pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra
	414	END DO
[1231]	415	END DO
	416	END DO
[2528]	417	! ! Save the vertical advective trends for diagnostic
[4990]	418	IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_zad, zwz, pwn, ptn(:,:,:,jn) )
[2528]	419	!
[1231]	420	END DO
	421	!
[4990]	422	CALL wrk_dealloc( jpi, jpj, jpk, zwz )
	423	!
[1559]	424	END SUBROUTINE tra_adv_cen2_k
[1231]	425
	426
[2528]	427	SUBROUTINE quickest( pfu, pfd, pfc, puc )
[1231]	428	!!----------------------------------------------------------------------
	429	!!
[2528]	430	!! ** Purpose : Computation of advective flux with Quickest scheme
	431	!!
	432	!! ** Method :
[1231]	433	!!----------------------------------------------------------------------
[2528]	434	REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pfu ! second upwind point
	435	REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pfd ! first douwning point
	436	REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pfc ! the central point (or the first upwind point)
	437	REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: puc ! input as Courant number ; output as flux
	438	!!
	439	INTEGER :: ji, jj, jk ! dummy loop indices
	440	REAL(wp) :: zcoef1, zcoef2, zcoef3 ! local scalars
	441	REAL(wp) :: zc, zcurv, zfho ! - -
	442	!----------------------------------------------------------------------
[3294]	443	!
	444	IF( nn_timing == 1 ) CALL timing_start('quickest')
	445	!
[2528]	446	DO jk = 1, jpkm1
	447	DO jj = 1, jpj
	448	DO ji = 1, jpi
	449	zc = puc(ji,jj,jk) ! Courant number
	450	zcurv = pfd(ji,jj,jk) + pfu(ji,jj,jk) - 2. * pfc(ji,jj,jk)
	451	zcoef1 = 0.5 * ( pfc(ji,jj,jk) + pfd(ji,jj,jk) )
	452	zcoef2 = 0.5 * zc * ( pfd(ji,jj,jk) - pfc(ji,jj,jk) )
	453	zcoef3 = ( 1. - ( zc * zc ) ) * r1_6 * zcurv
	454	zfho = zcoef1 - zcoef2 - zcoef3 ! phi_f QUICKEST
	455	!
	456	zcoef1 = pfd(ji,jj,jk) - pfu(ji,jj,jk)
	457	zcoef2 = ABS( zcoef1 )
	458	zcoef3 = ABS( zcurv )
	459	IF( zcoef3 >= zcoef2 ) THEN
	460	zfho = pfc(ji,jj,jk)
	461	ELSE
	462	zcoef3 = pfu(ji,jj,jk) + ( ( pfc(ji,jj,jk) - pfu(ji,jj,jk) ) / MAX( zc, 1.e-9 ) ) ! phi_REF
	463	IF( zcoef1 >= 0. ) THEN
	464	zfho = MAX( pfc(ji,jj,jk), zfho )
	465	zfho = MIN( zfho, MIN( zcoef3, pfd(ji,jj,jk) ) )
	466	ELSE
	467	zfho = MIN( pfc(ji,jj,jk), zfho )
	468	zfho = MAX( zfho, MAX( zcoef3, pfd(ji,jj,jk) ) )
	469	ENDIF
	470	ENDIF
	471	puc(ji,jj,jk) = zfho
	472	END DO
	473	END DO
	474	END DO
[1231]	475	!
[3294]	476	IF( nn_timing == 1 ) CALL timing_stop('quickest')
	477	!
[1231]	478	END SUBROUTINE quickest
	479
	480	!!======================================================================
	481	END MODULE traadv_qck

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source: branches/UKMO/r6232_tracer_advection/NEMOGCM/NEMO/OPA_SRC/TRA/traadv_qck.F90 @ 9295

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