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traadv_qck.F90 in NEMO/branches/2020/dev_r13508_HPC-09_communications_cleanup/src/OCE/TRA – NEMO

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source: NEMO/branches/2020/dev_r13508_HPC-09_communications_cleanup/src/OCE/TRA/traadv_qck.F90 @ 14260

Last change on this file since 14260 was 13701, checked in by francesca, 4 years ago
end of cleanup of the TRA modules - ticket #2367
Property svn:keywords set to `Id`
File size: 21.3 KB

Rev	Line
[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 diaptr ! poleward transport diagnostics
[12377]	23	USE iom
[4990]	24	!
[9124]	25	USE in_out_manager ! I/O manager
[1231]	26	USE lib_mpp ! distribued memory computing
	27	USE lbclnk ! ocean lateral boundary condition (or mpp link)
[3625]	28	USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined)
[1231]	29
	30	IMPLICIT NONE
	31	PRIVATE
	32
[1559]	33	PUBLIC tra_adv_qck ! routine called by step.F90
[1231]	34
[2528]	35	REAL(wp) :: r1_6 = 1./ 6. ! 1/6 ratio
[1559]	36
[7646]	37	LOGICAL :: l_trd ! flag to compute trends
	38	LOGICAL :: l_ptr ! flag to compute poleward transport
	39
	40
[1231]	41	!! * Substitutions
[12377]	42	# include "do_loop_substitute.h90"
[13237]	43	# include "domzgr_substitute.h90"
[1231]	44	!!----------------------------------------------------------------------
[9598]	45	!! NEMO/OCE 4.0 , NEMO Consortium (2018)
[1231]	46	!! $Id$
[10068]	47	!! Software governed by the CeCILL license (see ./LICENSE)
[1231]	48	!!----------------------------------------------------------------------
	49	CONTAINS
	50
[12377]	51	SUBROUTINE tra_adv_qck ( kt, kit000, cdtype, p2dt, pU, pV, pW, Kbb, Kmm, pt, kjpt, Krhs )
[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	!!
[12377]	75	!! On the vertical, the simple centered scheme used pt(:,:,:,:,Kmm)
[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	!!
[12377]	81	!! ** Action : - update pt(:,:,:,:,Krhs) with the now advective tracer trends
[6140]	82	!! - send trends to trdtra module for further diagnostcs (l_trdtra=T)
[12377]	83	!! - poleward advective heat and salt transport (ln_diaptr=T)
[1231]	84	!!
	85	!! ** Reference : Leonard (1979, 1991)
	86	!!----------------------------------------------------------------------
[12377]	87	INTEGER , INTENT(in ) :: kt ! ocean time-step index
	88	INTEGER , INTENT(in ) :: Kbb, Kmm, Krhs ! ocean time level indices
	89	INTEGER , INTENT(in ) :: kit000 ! first time step index
	90	CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator)
	91	INTEGER , INTENT(in ) :: kjpt ! number of tracers
	92	REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step
[13660]	93	REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(inout) :: pU, pV, pW ! 3 ocean volume transport components
[12377]	94	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt,jpt), INTENT(inout) :: pt ! tracers and RHS of tracer equation
[1231]	95	!!----------------------------------------------------------------------
[3294]	96	!
	97	IF( kt == kit000 ) THEN
[1231]	98	IF(lwp) WRITE(numout,*)
[2528]	99	IF(lwp) WRITE(numout,*) 'tra_adv_qck : 3rd order quickest advection scheme on ', cdtype
[1231]	100	IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~'
	101	IF(lwp) WRITE(numout,*)
	102	ENDIF
[5836]	103	!
[4990]	104	l_trd = .FALSE.
[7646]	105	l_ptr = .FALSE.
[12377]	106	IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE.
	107	IF( cdtype == 'TRA' .AND. ( iom_use( 'sophtadv' ) .OR. iom_use( 'sophtadv' ) ) ) l_ptr = .TRUE.
[4499]	108	!
[6140]	109	! ! horizontal fluxes are computed with the QUICKEST + ULTIMATE scheme
[12377]	110	CALL tra_adv_qck_i( kt, cdtype, p2dt, pU, Kbb, Kmm, pt, kjpt, Krhs )
	111	CALL tra_adv_qck_j( kt, cdtype, p2dt, pV, Kbb, Kmm, pt, kjpt, Krhs )
[1231]	112
[6140]	113	! ! vertical fluxes are computed with the 2nd order centered scheme
[12377]	114	CALL tra_adv_cen2_k( kt, cdtype, pW, Kmm, pt, kjpt, Krhs )
[1231]	115	!
	116	END SUBROUTINE tra_adv_qck
	117
	118
[12377]	119	SUBROUTINE tra_adv_qck_i( kt, cdtype, p2dt, pU, Kbb, Kmm, pt, kjpt, Krhs )
[1231]	120	!!----------------------------------------------------------------------
	121	!!
	122	!!----------------------------------------------------------------------
[12377]	123	INTEGER , INTENT(in ) :: kt ! ocean time-step index
	124	INTEGER , INTENT(in ) :: Kbb, Kmm, Krhs ! ocean time level indices
	125	CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator)
	126	INTEGER , INTENT(in ) :: kjpt ! number of tracers
	127	REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step
	128	REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pU ! i-velocity components
	129	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt,jpt), INTENT(inout) :: pt ! active tracers and RHS of tracer equation
[2528]	130	!!
[5836]	131	INTEGER :: ji, jj, jk, jn ! dummy loop indices
[6140]	132	REAL(wp) :: ztra, zbtr, zdir, zdx, zmsk ! local scalars
[9019]	133	REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwx, zfu, zfc, zfd
[1231]	134	!----------------------------------------------------------------------
[2715]	135	!
[2528]	136	! ! ===========
	137	DO jn = 1, kjpt ! tracer loop
	138	! ! ===========
[5836]	139	zfu(:,:,:) = 0._wp ; zfc(:,:,:) = 0._wp
	140	zfd(:,:,:) = 0._wp ; zwx(:,:,:) = 0._wp
	141	!
	142	!!gm why not using a SHIFT instruction...
[13660]	143	DO_3D( 0, 0, nn_hls-1, nn_hls-1, 1, jpkm1 ) !--- Computation of the ustream and downstream value of the tracer and the mask
[12377]	144	zfc(ji,jj,jk) = pt(ji-1,jj,jk,jn,Kbb) ! Upstream in the x-direction for the tracer
	145	zfd(ji,jj,jk) = pt(ji+1,jj,jk,jn,Kbb) ! Downstream in the x-direction for the tracer
	146	END_3D
[13660]	147	IF (nn_hls.EQ.1) CALL lbc_lnk_multi( 'traadv_qck', zfc(:,:,:), 'T', 1.0_wp , zfd(:,:,:), 'T', 1.0_wp ) ! Lateral boundary conditions
[2528]	148
[1231]	149	!
	150	! Horizontal advective fluxes
	151	! ---------------------------
[13660]	152	DO_3D( 0, 0, nn_hls-1, 0, 1, jpkm1 )
[13226]	153	zdir = 0.5 + SIGN( 0.5_wp, pU(ji,jj,jk) ) ! if pU > 0 : zdir = 1 otherwise zdir = 0
[12377]	154	zfu(ji,jj,jk) = zdir * zfc(ji,jj,jk ) + ( 1. - zdir ) * zfd(ji+1,jj,jk) ! FU in the x-direction for T
	155	END_3D
[1231]	156	!
[13660]	157	DO_3D( 0, 0, nn_hls-1, 0, 1, jpkm1 )
[13226]	158	zdir = 0.5 + SIGN( 0.5_wp, pU(ji,jj,jk) ) ! if pU > 0 : zdir = 1 otherwise zdir = 0
[12377]	159	zdx = ( zdir * e1t(ji,jj) + ( 1. - zdir ) * e1t(ji+1,jj) ) * e2u(ji,jj) * e3u(ji,jj,jk,Kmm)
	160	zwx(ji,jj,jk) = ABS( pU(ji,jj,jk) ) * p2dt / zdx ! (0<zc_cfl<1 : Courant number on x-direction)
	161	zfc(ji,jj,jk) = zdir * pt(ji ,jj,jk,jn,Kbb) + ( 1. - zdir ) * pt(ji+1,jj,jk,jn,Kbb) ! FC in the x-direction for T
	162	zfd(ji,jj,jk) = zdir * pt(ji+1,jj,jk,jn,Kbb) + ( 1. - zdir ) * pt(ji ,jj,jk,jn,Kbb) ! FD in the x-direction for T
	163	END_3D
[2528]	164	!--- Lateral boundary conditions
[13660]	165	IF (nn_hls.EQ.1) CALL lbc_lnk_multi( 'traadv_qck', zfu(:,:,:), 'T', 1.0_wp , zfd(:,:,:), 'T', 1.0_wp, zfc(:,:,:), 'T', 1.0_wp, zwx(:,:,:), 'T', 1.0_wp )
[2528]	166
[1231]	167	!--- QUICKEST scheme
[2528]	168	CALL quickest( zfu, zfd, zfc, zwx )
[1231]	169	!
[2528]	170	! Mask at the T-points in the x-direction (mask=0 or mask=1)
[13660]	171	DO_3D( 0, 0, nn_hls-1, nn_hls-1, 1, jpkm1 )
[12377]	172	zfu(ji,jj,jk) = tmask(ji-1,jj,jk) + tmask(ji,jj,jk) + tmask(ji+1,jj,jk) - 2.
	173	END_3D
[13660]	174	IF (nn_hls.EQ.1) CALL lbc_lnk( 'traadv_qck', zfu(:,:,:), 'T', 1.0_wp ) ! Lateral boundary conditions
[2528]	175
[1231]	176	!
[2528]	177	! Tracer flux on the x-direction
[13701]	178	DO_3D( 0, 0, 1, 0, 1, jpkm1 )
	179	zdir = 0.5 + SIGN( 0.5_wp, pU(ji,jj,jk) ) ! if pU > 0 : zdir = 1 otherwise zdir = 0
	180	!--- If the second ustream point is a land point
	181	!--- the flux is computed by the 1st order UPWIND scheme
	182	zmsk = zdir * zfu(ji,jj,jk) + ( 1. - zdir ) * zfu(ji+1,jj,jk)
	183	zwx(ji,jj,jk) = zmsk * zwx(ji,jj,jk) + ( 1. - zmsk ) * zfc(ji,jj,jk)
	184	zwx(ji,jj,jk) = zwx(ji,jj,jk) * pU(ji,jj,jk)
	185	END_3D
[3300]	186	!
	187	! Computation of the trend
[13295]	188	DO_3D( 0, 0, 0, 0, 1, jpkm1 )
[12377]	189	zbtr = r1_e1e2t(ji,jj) / e3t(ji,jj,jk,Kmm)
	190	! horizontal advective trends
	191	ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji-1,jj,jk) )
	192	!--- add it to the general tracer trends
	193	pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) + ztra
	194	END_3D
[6140]	195	! ! trend diagnostics
[12377]	196	IF( l_trd ) CALL trd_tra( kt, Kmm, Krhs, cdtype, jn, jptra_xad, zwx, pU, pt(:,:,:,jn,Kmm) )
[2528]	197	!
	198	END DO
	199	!
[1559]	200	END SUBROUTINE tra_adv_qck_i
[1231]	201
	202
[12377]	203	SUBROUTINE tra_adv_qck_j( kt, cdtype, p2dt, pV, Kbb, Kmm, pt, kjpt, Krhs )
[1231]	204	!!----------------------------------------------------------------------
	205	!!
	206	!!----------------------------------------------------------------------
[12377]	207	INTEGER , INTENT(in ) :: kt ! ocean time-step index
	208	INTEGER , INTENT(in ) :: Kbb, Kmm, Krhs ! ocean time level indices
	209	CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator)
	210	INTEGER , INTENT(in ) :: kjpt ! number of tracers
	211	REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step
	212	REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pV ! j-velocity components
	213	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt,jpt), INTENT(inout) :: pt ! active tracers and RHS of tracer equation
[1559]	214	!!
[9019]	215	INTEGER :: ji, jj, jk, jn ! dummy loop indices
[6140]	216	REAL(wp) :: ztra, zbtr, zdir, zdx, zmsk ! local scalars
[9019]	217	REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwy, zfu, zfc, zfd ! 3D workspace
[1231]	218	!----------------------------------------------------------------------
[2715]	219	!
[2528]	220	! ! ===========
	221	DO jn = 1, kjpt ! tracer loop
	222	! ! ===========
	223	zfu(:,:,:) = 0.0 ; zfc(:,:,:) = 0.0
	224	zfd(:,:,:) = 0.0 ; zwy(:,:,:) = 0.0
	225	!
	226	DO jk = 1, jpkm1
	227	!
	228	!--- Computation of the ustream and downstream value of the tracer and the mask
[13660]	229	DO_2D( nn_hls-1, nn_hls-1, 0, 0 )
[12377]	230	! Upstream in the x-direction for the tracer
	231	zfc(ji,jj,jk) = pt(ji,jj-1,jk,jn,Kbb)
	232	! Downstream in the x-direction for the tracer
	233	zfd(ji,jj,jk) = pt(ji,jj+1,jk,jn,Kbb)
	234	END_2D
[1559]	235	END DO
[13660]	236	IF (nn_hls.EQ.1) CALL lbc_lnk_multi( 'traadv_qck', zfc(:,:,:), 'T', 1.0_wp , zfd(:,:,:), 'T', 1.0_wp ) ! Lateral boundary conditions
[2528]	237
	238
[1231]	239	!
	240	! Horizontal advective fluxes
	241	! ---------------------------
	242	!
[13660]	243	DO_3D( nn_hls-1, 0, 0, 0, 1, jpkm1 )
[13226]	244	zdir = 0.5 + SIGN( 0.5_wp, pV(ji,jj,jk) ) ! if pU > 0 : zdir = 1 otherwise zdir = 0
[12377]	245	zfu(ji,jj,jk) = zdir * zfc(ji,jj,jk ) + ( 1. - zdir ) * zfd(ji,jj+1,jk) ! FU in the x-direction for T
	246	END_3D
[1231]	247	!
[13660]	248	DO_3D( nn_hls-1, 0, 0, 0, 1, jpkm1 )
[13226]	249	zdir = 0.5 + SIGN( 0.5_wp, pV(ji,jj,jk) ) ! if pU > 0 : zdir = 1 otherwise zdir = 0
[12377]	250	zdx = ( zdir * e2t(ji,jj) + ( 1. - zdir ) * e2t(ji,jj+1) ) * e1v(ji,jj) * e3v(ji,jj,jk,Kmm)
	251	zwy(ji,jj,jk) = ABS( pV(ji,jj,jk) ) * p2dt / zdx ! (0<zc_cfl<1 : Courant number on x-direction)
	252	zfc(ji,jj,jk) = zdir * pt(ji,jj ,jk,jn,Kbb) + ( 1. - zdir ) * pt(ji,jj+1,jk,jn,Kbb) ! FC in the x-direction for T
	253	zfd(ji,jj,jk) = zdir * pt(ji,jj+1,jk,jn,Kbb) + ( 1. - zdir ) * pt(ji,jj ,jk,jn,Kbb) ! FD in the x-direction for T
	254	END_3D
[2528]	255
	256	!--- Lateral boundary conditions
[13660]	257	IF (nn_hls.EQ.1) CALL lbc_lnk_multi( 'traadv_qck', zfu(:,:,:), 'T', 1.0_wp , zfd(:,:,:), 'T', 1.0_wp, zfc(:,:,:), 'T', 1.0_wp, zwy(:,:,:), 'T', 1.0_wp )
[2528]	258
[1231]	259	!--- QUICKEST scheme
[2528]	260	CALL quickest( zfu, zfd, zfc, zwy )
[1231]	261	!
[2528]	262	! Mask at the T-points in the x-direction (mask=0 or mask=1)
[13660]	263	DO_3D( nn_hls-1, nn_hls-1, 0, 0, 1, jpkm1 )
[12377]	264	zfu(ji,jj,jk) = tmask(ji,jj-1,jk) + tmask(ji,jj,jk) + tmask(ji,jj+1,jk) - 2.
	265	END_3D
[13660]	266	IF (nn_hls.EQ.1) CALL lbc_lnk( 'traadv_qck', zfu(:,:,:), 'T', 1.0_wp ) !--- Lateral boundary conditions
[2528]	267	!
	268	! Tracer flux on the x-direction
[13701]	269	DO_3D( 1, 0, 0, 0, 1, jpkm1 )
	270	zdir = 0.5 + SIGN( 0.5_wp, pV(ji,jj,jk) ) ! if pU > 0 : zdir = 1 otherwise zdir = 0
	271	!--- If the second ustream point is a land point
	272	!--- the flux is computed by the 1st order UPWIND scheme
	273	zmsk = zdir * zfu(ji,jj,jk) + ( 1. - zdir ) * zfu(ji,jj+1,jk)
	274	zwy(ji,jj,jk) = zmsk * zwy(ji,jj,jk) + ( 1. - zmsk ) * zfc(ji,jj,jk)
	275	zwy(ji,jj,jk) = zwy(ji,jj,jk) * pV(ji,jj,jk)
	276	END_3D
[3300]	277	!
	278	! Computation of the trend
[13295]	279	DO_3D( 0, 0, 0, 0, 1, jpkm1 )
[12377]	280	zbtr = r1_e1e2t(ji,jj) / e3t(ji,jj,jk,Kmm)
	281	! horizontal advective trends
	282	ztra = - zbtr * ( zwy(ji,jj,jk) - zwy(ji,jj-1,jk) )
	283	!--- add it to the general tracer trends
	284	pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) + ztra
	285	END_3D
[6140]	286	! ! trend diagnostics
[12377]	287	IF( l_trd ) CALL trd_tra( kt, Kmm, Krhs, cdtype, jn, jptra_yad, zwy, pV, pt(:,:,:,jn,Kmm) )
[2528]	288	! ! "Poleward" heat and salt transports (contribution of upstream fluxes)
[9019]	289	IF( l_ptr ) CALL dia_ptr_hst( jn, 'adv', zwy(:,:,:) )
[2528]	290	!
	291	END DO
	292	!
[1559]	293	END SUBROUTINE tra_adv_qck_j
[1231]	294
	295
[12377]	296	SUBROUTINE tra_adv_cen2_k( kt, cdtype, pW, Kmm, pt, kjpt, Krhs )
[1231]	297	!!----------------------------------------------------------------------
	298	!!
	299	!!----------------------------------------------------------------------
[12377]	300	INTEGER , INTENT(in ) :: kt ! ocean time-step index
	301	INTEGER , INTENT(in ) :: Kmm, Krhs ! ocean time level indices
	302	CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator)
	303	INTEGER , INTENT(in ) :: kjpt ! number of tracers
	304	REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pW ! vertical velocity
	305	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt,jpt), INTENT(inout) :: pt ! active tracers and RHS of tracer equation
[2715]	306	!
[2528]	307	INTEGER :: ji, jj, jk, jn ! dummy loop indices
[9019]	308	REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwz ! 3D workspace
[1559]	309	!!----------------------------------------------------------------------
[4990]	310	!
[6140]	311	zwz(:,:, 1 ) = 0._wp ! surface & bottom values set to zero for all tracers
	312	zwz(:,:,jpk) = 0._wp
[5836]	313	!
[2528]	314	! ! ===========
	315	DO jn = 1, kjpt ! tracer loop
	316	! ! ===========
	317	!
[13497]	318	DO_3D( 0, 0, 0, 0, 2, jpkm1 ) !* Interior point (w-masked 2nd order centered flux)
[12377]	319	zwz(ji,jj,jk) = 0.5 * pW(ji,jj,jk) * ( pt(ji,jj,jk-1,jn,Kmm) + pt(ji,jj,jk,jn,Kmm) ) * wmask(ji,jj,jk)
	320	END_3D
[6140]	321	IF( ln_linssh ) THEN !* top value (only in linear free surf. as zwz is multiplied by wmask)
[5836]	322	IF( ln_isfcav ) THEN ! ice-shelf cavities (top of the ocean)
[13660]	323	DO_2D( 0, 0, 0, 0 )
[12377]	324	zwz(ji,jj, mikt(ji,jj) ) = pW(ji,jj,mikt(ji,jj)) * pt(ji,jj,mikt(ji,jj),jn,Kmm) ! linear free surface
	325	END_2D
[6140]	326	ELSE ! no ocean cavities (only ocean surface)
[13660]	327	DO_2D( 0, 0, 0, 0 )
	328	zwz(ji,jj,1) = pW(ji,jj,1) * pt(ji,jj,1,jn,Kmm)
	329	END_2D
[5836]	330	ENDIF
	331	ENDIF
[2528]	332	!
[13497]	333	DO_3D( 0, 0, 0, 0, 1, jpkm1 ) !== Tracer flux divergence added to the general trend ==!
[12377]	334	pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) - ( zwz(ji,jj,jk) - zwz(ji,jj,jk+1) ) &
	335	& * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,Kmm)
	336	END_3D
[6140]	337	! ! Send trends for diagnostic
[12377]	338	IF( l_trd ) CALL trd_tra( kt, Kmm, Krhs, cdtype, jn, jptra_zad, zwz, pW, pt(:,:,:,jn,Kmm) )
[2528]	339	!
[1231]	340	END DO
	341	!
[1559]	342	END SUBROUTINE tra_adv_cen2_k
[1231]	343
	344
[2528]	345	SUBROUTINE quickest( pfu, pfd, pfc, puc )
[1231]	346	!!----------------------------------------------------------------------
	347	!!
[2528]	348	!! ** Purpose : Computation of advective flux with Quickest scheme
	349	!!
	350	!! ** Method :
[1231]	351	!!----------------------------------------------------------------------
[2528]	352	REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pfu ! second upwind point
	353	REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pfd ! first douwning point
	354	REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pfc ! the central point (or the first upwind point)
	355	REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: puc ! input as Courant number ; output as flux
	356	!!
	357	INTEGER :: ji, jj, jk ! dummy loop indices
	358	REAL(wp) :: zcoef1, zcoef2, zcoef3 ! local scalars
	359	REAL(wp) :: zc, zcurv, zfho ! - -
	360	!----------------------------------------------------------------------
[3294]	361	!
[13660]	362	DO_3D( nn_hls, nn_hls, nn_hls, nn_hls, 1, jpkm1 )
[12377]	363	zc = puc(ji,jj,jk) ! Courant number
	364	zcurv = pfd(ji,jj,jk) + pfu(ji,jj,jk) - 2. * pfc(ji,jj,jk)
	365	zcoef1 = 0.5 * ( pfc(ji,jj,jk) + pfd(ji,jj,jk) )
	366	zcoef2 = 0.5 * zc * ( pfd(ji,jj,jk) - pfc(ji,jj,jk) )
	367	zcoef3 = ( 1. - ( zc * zc ) ) * r1_6 * zcurv
	368	zfho = zcoef1 - zcoef2 - zcoef3 ! phi_f QUICKEST
	369	!
	370	zcoef1 = pfd(ji,jj,jk) - pfu(ji,jj,jk)
	371	zcoef2 = ABS( zcoef1 )
	372	zcoef3 = ABS( zcurv )
	373	IF( zcoef3 >= zcoef2 ) THEN
	374	zfho = pfc(ji,jj,jk)
	375	ELSE
	376	zcoef3 = pfu(ji,jj,jk) + ( ( pfc(ji,jj,jk) - pfu(ji,jj,jk) ) / MAX( zc, 1.e-9 ) ) ! phi_REF
	377	IF( zcoef1 >= 0. ) THEN
	378	zfho = MAX( pfc(ji,jj,jk), zfho )
	379	zfho = MIN( zfho, MIN( zcoef3, pfd(ji,jj,jk) ) )
	380	ELSE
	381	zfho = MIN( pfc(ji,jj,jk), zfho )
	382	zfho = MAX( zfho, MAX( zcoef3, pfd(ji,jj,jk) ) )
	383	ENDIF
	384	ENDIF
	385	puc(ji,jj,jk) = zfho
	386	END_3D
[1231]	387	!
	388	END SUBROUTINE quickest
	389
	390	!!======================================================================
	391	END MODULE traadv_qck

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