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traldf_iso.F90 in branches/UKMO/dev_r5518_optim_GO6_alloc/NEMOGCM/NEMO/OPA_SRC/TRA – NEMO

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source: branches/UKMO/dev_r5518_optim_GO6_alloc/NEMOGCM/NEMO/OPA_SRC/TRA/traldf_iso.F90 @ 7680

Last change on this file since 7680 was 7680, checked in by frrh, 7 years ago
Update all modified (and some existing) ALLOCATE statements to use explicit range in dimensioning starting from 1, for consistency and avoidance of doubt over dimensioning.
File size: 19.4 KB

Rev	Line
[3]	1	MODULE traldf_iso
[503]	2	!!======================================================================
[457]	3	!! * MODULE traldf_iso *
[2528]	4	!! Ocean tracers: horizontal component of the lateral tracer mixing trend
[503]	5	!!======================================================================
[2528]	6	!! History : OPA ! 1994-08 (G. Madec, M. Imbard)
	7	!! 8.0 ! 1997-05 (G. Madec) split into traldf and trazdf
	8	!! NEMO ! 2002-08 (G. Madec) Free form, F90
	9	!! 1.0 ! 2005-11 (G. Madec) merge traldf and trazdf :-)
	10	!! 3.3 ! 2010-09 (C. Ethe, G. Madec) Merge TRA-TRC
[503]	11	!!----------------------------------------------------------------------
[457]	12	#if defined key_ldfslp \|\| defined key_esopa
[3]	13	!!----------------------------------------------------------------------
[457]	14	!! 'key_ldfslp' slope of the lateral diffusive direction
[3]	15	!!----------------------------------------------------------------------
[457]	16	!! tra_ldf_iso : update the tracer trend with the horizontal
	17	!! component of a iso-neutral laplacian operator
	18	!! and with the vertical part of
	19	!! the isopycnal or geopotential s-coord. operator
[3]	20	!!----------------------------------------------------------------------
[457]	21	USE oce ! ocean dynamics and active tracers
	22	USE dom_oce ! ocean space and time domain
[2528]	23	USE trc_oce ! share passive tracers/Ocean variables
	24	USE zdf_oce ! ocean vertical physics
[74]	25	USE ldftra_oce ! ocean active tracers: lateral physics
[3]	26	USE ldfslp ! iso-neutral slopes
[132]	27	USE diaptr ! poleward transport diagnostics
[7061]	28	USE trd_oce ! trends: ocean variables
	29	USE trdtra ! trends manager: tracers
[2528]	30	USE in_out_manager ! I/O manager
	31	USE iom ! I/O library
[1756]	32	USE phycst ! physical constants
	33	USE lbclnk ! ocean lateral boundary conditions (or mpp link)
[3294]	34	USE timing ! Timing
[3]	35
	36	IMPLICIT NONE
	37	PRIVATE
	38
[503]	39	PUBLIC tra_ldf_iso ! routine called by step.F90
[3]	40
	41	!! * Substitutions
	42	# include "domzgr_substitute.h90"
	43	# include "ldftra_substitute.h90"
	44	# include "vectopt_loop_substitute.h90"
	45	!!----------------------------------------------------------------------
[2528]	46	!! NEMO/OPA 3.3 , NEMO Consortium (2010)
	47	!! $Id$
	48	!! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt)
[247]	49	!!----------------------------------------------------------------------
[3]	50	CONTAINS
	51
[3294]	52	SUBROUTINE tra_ldf_iso( kt, kit000, cdtype, pgu, pgv, &
[4990]	53	& pgui, pgvi, &
[2528]	54	& ptb, pta, kjpt, pahtb0 )
[3]	55	!!----------------------------------------------------------------------
	56	!! * ROUTINE tra_ldf_iso *
[457]	57	!!
[3]	58	!! ** Purpose : Compute the before horizontal tracer (t & s) diffusive
[457]	59	!! trend for a laplacian tensor (ezxcept the dz[ dz[.] ] term) and
	60	!! add it to the general trend of tracer equation.
[3]	61	!!
	62	!! ** Method : The horizontal component of the lateral diffusive trends
	63	!! is provided by a 2nd order operator rotated along neural or geopo-
	64	!! tential surfaces to which an eddy induced advection can be added
	65	!! It is computed using before fields (forward in time) and isopyc-
	66	!! nal or geopotential slopes computed in routine ldfslp.
	67	!!
[2528]	68	!! 1st part : masked horizontal derivative of T ( di[ t ] )
[457]	69	!! ======== with partial cell update if ln_zps=T.
	70	!!
	71	!! 2nd part : horizontal fluxes of the lateral mixing operator
	72	!! ========
[3]	73	!! zftu = (aht+ahtb0) e2u*e3u/e1u di[ tb ]
	74	!! - aht e2u*uslp dk[ mi(mk(tb)) ]
	75	!! zftv = (aht+ahtb0) e1v*e3v/e2v dj[ tb ]
	76	!! - aht e2u*vslp dk[ mj(mk(tb)) ]
	77	!! take the horizontal divergence of the fluxes:
	78	!! difft = 1/(e1te2te3t) { di-1[ zftu ] + dj-1[ zftv ] }
	79	!! Add this trend to the general trend (ta,sa):
	80	!! ta = ta + difft
	81	!!
[457]	82	!! 3rd part: vertical trends of the lateral mixing operator
	83	!! ======== (excluding the vertical flux proportional to dk[t] )
	84	!! vertical fluxes associated with the rotated lateral mixing:
	85	!! zftw =-aht { e2t*wslpi di[ mi(mk(tb)) ]
	86	!! + e1t*wslpj dj[ mj(mk(tb)) ] }
	87	!! take the horizontal divergence of the fluxes:
	88	!! difft = 1/(e1te2te3t) dk[ zftw ]
	89	!! Add this trend to the general trend (ta,sa):
[2528]	90	!! pta = pta + difft
[3]	91	!!
[2528]	92	!! ** Action : Update pta arrays with the before rotated diffusion
[503]	93	!!----------------------------------------------------------------------
[2715]	94	USE oce , ONLY: zftu => ua , zftv => va ! (ua,va) used as workspace
	95	!
[2528]	96	INTEGER , INTENT(in ) :: kt ! ocean time-step index
[3294]	97	INTEGER , INTENT(in ) :: kit000 ! first time step index
[2528]	98	CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator)
	99	INTEGER , INTENT(in ) :: kjpt ! number of tracers
[4990]	100	REAL(wp), DIMENSION(jpi,jpj ,kjpt), INTENT(in ) :: pgu , pgv ! tracer gradient at pstep levels
	101	REAL(wp), DIMENSION(jpi,jpj ,kjpt), INTENT(in ) :: pgui, pgvi ! tracer gradient at pstep levels
[2528]	102	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields
	103	REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend
	104	REAL(wp) , INTENT(in ) :: pahtb0 ! background diffusion coef
[2715]	105	!
[2528]	106	INTEGER :: ji, jj, jk, jn ! dummy loop indices
[5120]	107	INTEGER :: ikt
[7061]	108	REAL(wp) :: zmsku, zabe1, zcof1, zcoef3 ! local scalars
	109	REAL(wp) :: zmskv, zabe2, zcof2, zcoef4 ! - -
	110	REAL(wp) :: zcoef0, zbtr ! - -
[7601]	111	REAL(wp), ALLOCATABLE, DIMENSION(:,: ) :: z2d
	112	REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: zdkt, zdk1t, zdit, zdjt, ztfw
[7061]	113	REAL(wp), ALLOCATABLE, DIMENSION(:,:,:), TARGET :: ztrax, ztray, ztraz
	114	REAL(wp), ALLOCATABLE, DIMENSION(:,:,:), TARGET :: ztrax_T, ztray_T, ztraz_T
[3]	115	!!----------------------------------------------------------------------
[3294]	116	!
	117	IF( nn_timing == 1 ) CALL timing_start('tra_ldf_iso')
	118	!
[7680]	119	ALLOCATE( z2d(1:jpi, 1:jpj))
	120	ALLOCATE( zdit(1:jpi, 1:jpj, 1:jpk))
	121	ALLOCATE( zdjt(1:jpi, 1:jpj, 1:jpk))
	122	ALLOCATE( ztfw(1:jpi, 1:jpj, 1:jpk))
	123	ALLOCATE( zdkt(1:jpi, 1:jpj, 1:jpk))
	124	ALLOCATE( zdk1t(1:jpi, 1:jpj, 1:jpk))
	125	ALLOCATE( ztrax(1:jpi,1:jpj,1:jpk))
	126	ALLOCATE( ztray(1:jpi,1:jpj,1:jpk))
	127	ALLOCATE( ztraz(1:jpi,1:jpj,1:jpk) )
	128	IF( l_trdtra .and. cdtype == 'TRA' ) THEN
	129	ALLOCATE( ztrax_T(1:jpi,1:jpj,1:jpk))
	130	ALLOCATE( ztray_T(1:jpi,1:jpj,1:jpk))
	131	ALLOCATE( ztraz_T(1:jpi,1:jpj,1:jpk))
	132	ENDIF
[3294]	133	!
[3]	134
[3294]	135	IF( kt == kit000 ) THEN
[3]	136	IF(lwp) WRITE(numout,*)
[2528]	137	IF(lwp) WRITE(numout,*) 'tra_ldf_iso : rotated laplacian diffusion operator on ', cdtype
[457]	138	IF(lwp) WRITE(numout,*) '~~~~~~~~~~~'
[3]	139	ENDIF
[2528]	140	!
	141	! ! ===========
	142	DO jn = 1, kjpt ! tracer loop
	143	! ! ===========
[7061]	144	ztrax(:,:,:) = 0._wp ; ztray(:,:,:) = 0._wp ; ztraz(:,:,:) = 0._wp ;
[2528]	145	!
	146	!!----------------------------------------------------------------------
	147	!! I - masked horizontal derivative
	148	!!----------------------------------------------------------------------
	149	!!bug ajout.... why? ( 1,jpj,:) and (jpi,1,:) should be sufficient....
	150	zdit (1,:,:) = 0.e0 ; zdit (jpi,:,:) = 0.e0
	151	zdjt (1,:,:) = 0.e0 ; zdjt (jpi,:,:) = 0.e0
	152	!!end
[3]	153
[2528]	154	! Horizontal tracer gradient
	155	DO jk = 1, jpkm1
	156	DO jj = 1, jpjm1
	157	DO ji = 1, fs_jpim1 ! vector opt.
	158	zdit(ji,jj,jk) = ( ptb(ji+1,jj ,jk,jn) - ptb(ji,jj,jk,jn) ) * umask(ji,jj,jk)
	159	zdjt(ji,jj,jk) = ( ptb(ji ,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) * vmask(ji,jj,jk)
	160	END DO
[457]	161	END DO
	162	END DO
[5120]	163
	164	! partial cell correction
[2528]	165	IF( ln_zps ) THEN ! partial steps correction at the last ocean level
	166	DO jj = 1, jpjm1
	167	DO ji = 1, fs_jpim1 ! vector opt.
[4990]	168	! IF useless if zpshde defines pgu everywhere
[5120]	169	zdit(ji,jj,mbku(ji,jj)) = pgu(ji,jj,jn)
	170	zdjt(ji,jj,mbkv(ji,jj)) = pgv(ji,jj,jn)
	171	END DO
	172	END DO
	173	ENDIF
	174	IF( ln_zps .AND. ln_isfcav ) THEN ! partial steps correction at the first wet level beneath a cavity
	175	DO jj = 1, jpjm1
	176	DO ji = 1, fs_jpim1 ! vector opt.
[4990]	177	IF (miku(ji,jj) > 1) zdit(ji,jj,miku(ji,jj)) = pgui(ji,jj,jn)
	178	IF (mikv(ji,jj) > 1) zdjt(ji,jj,mikv(ji,jj)) = pgvi(ji,jj,jn)
[2528]	179	END DO
[457]	180	END DO
[5120]	181	END IF
[3]	182
[2528]	183	!!----------------------------------------------------------------------
	184	!! II - horizontal trend (full)
	185	!!----------------------------------------------------------------------
[5120]	186	!!!!!!!!!!CDIR PARALLEL DO PRIVATE( zdk1t )
	187	! 1. Vertical tracer gradient at level jk and jk+1
	188	! ------------------------------------------------
	189	!
	190	! interior value
	191	DO jk = 2, jpkm1
	192	DO jj = 1, jpj
	193	DO ji = 1, jpi ! vector opt.
	194	zdk1t(ji,jj,jk) = ( ptb(ji,jj,jk,jn ) - ptb(ji,jj,jk+1,jn) ) * wmask(ji,jj,jk+1)
	195	!
	196	zdkt(ji,jj,jk) = ( ptb(ji,jj,jk-1,jn) - ptb(ji,jj,jk,jn ) ) * wmask(ji,jj,jk)
[4990]	197	END DO
	198	END DO
	199	END DO
[5120]	200	! surface boundary condition: zdkt(jk=1)=zdkt(jk=2)
	201	zdk1t(:,:,1) = ( ptb(:,:,1,jn ) - ptb(:,:,2,jn) ) * wmask(:,:,2)
	202	zdkt (:,:,1) = zdk1t(:,:,1)
	203	IF ( ln_isfcav ) THEN
	204	DO jj = 1, jpj
	205	DO ji = 1, jpi ! vector opt.
	206	ikt = mikt(ji,jj) ! surface level
	207	zdk1t(ji,jj,ikt) = ( ptb(ji,jj,ikt,jn ) - ptb(ji,jj,ikt+1,jn) ) * wmask(ji,jj,ikt+1)
	208	zdkt (ji,jj,ikt) = zdk1t(ji,jj,ikt)
	209	END DO
	210	END DO
	211	END IF
[3]	212
[5120]	213	! 2. Horizontal fluxes
	214	! --------------------
	215	DO jk = 1, jpkm1
	216	DO jj = 1 , jpjm1
	217	DO ji = 1, fs_jpim1 ! vector opt.
[4292]	218	zabe1 = ( fsahtu(ji,jj,jk) + pahtb0 ) * re2u_e1u(ji,jj) * fse3u_n(ji,jj,jk)
	219	zabe2 = ( fsahtv(ji,jj,jk) + pahtb0 ) * re1v_e2v(ji,jj) * fse3v_n(ji,jj,jk)
[2528]	220	!
	221	zmsku = 1. / MAX( tmask(ji+1,jj,jk ) + tmask(ji,jj,jk+1) &
	222	& + tmask(ji+1,jj,jk+1) + tmask(ji,jj,jk ), 1. )
	223	!
	224	zmskv = 1. / MAX( tmask(ji,jj+1,jk ) + tmask(ji,jj,jk+1) &
	225	& + tmask(ji,jj+1,jk+1) + tmask(ji,jj,jk ), 1. )
	226	!
	227	zcof1 = - fsahtu(ji,jj,jk) * e2u(ji,jj) * uslp(ji,jj,jk) * zmsku
	228	zcof2 = - fsahtv(ji,jj,jk) * e1v(ji,jj) * vslp(ji,jj,jk) * zmskv
	229	!
	230	zftu(ji,jj,jk ) = ( zabe1 * zdit(ji,jj,jk) &
[4990]	231	& + zcof1 * ( zdkt (ji+1,jj,jk) + zdk1t(ji,jj,jk) &
	232	& + zdk1t(ji+1,jj,jk) + zdkt (ji,jj,jk) ) ) * umask(ji,jj,jk)
[2528]	233	zftv(ji,jj,jk) = ( zabe2 * zdjt(ji,jj,jk) &
[4990]	234	& + zcof2 * ( zdkt (ji,jj+1,jk) + zdk1t(ji,jj,jk) &
	235	& + zdk1t(ji,jj+1,jk) + zdkt (ji,jj,jk) ) ) * vmask(ji,jj,jk)
[2528]	236	END DO
[3]	237	END DO
	238
[2528]	239	! II.4 Second derivative (divergence) and add to the general trend
	240	! ----------------------------------------------------------------
[5120]	241	DO jj = 2 , jpjm1
	242	DO ji = fs_2, fs_jpim1 ! vector opt.
	243	zbtr = 1.0 / ( e12t(ji,jj) * fse3t_n(ji,jj,jk) )
[7061]	244	ztrax(ji,jj,jk) = zbtr * ( zftu(ji,jj,jk) - zftu(ji-1,jj,jk) )
	245	ztray(ji,jj,jk) = zbtr * ( zftv(ji,jj,jk) - zftv(ji,jj-1,jk) )
[2528]	246	END DO
[3]	247	END DO
[2528]	248	! ! ===============
	249	END DO ! End of slab
	250	! ! ===============
	251	!
[7061]	252	pta(:,:,:,jn) = pta(:,:,:,jn) + ztrax(:,:,:) + ztray(:,:,:)
	253	!
[2528]	254	! "Poleward" diffusive heat or salt transports (T-S case only)
[3805]	255	! note sign is reversed to give down-gradient diffusive transports (#1043)
[7179]	256	IF( cdtype == 'TRA' .AND. ln_diaptr ) CALL dia_ptr_ohst_components( jn, 'ldf', -zftv(:,:,:) )
[2528]	257
[5147]	258	IF( iom_use("udiff_heattr") .OR. iom_use("vdiff_heattr") ) THEN
	259	!
	260	IF( cdtype == 'TRA' .AND. jn == jp_tem ) THEN
	261	z2d(:,:) = 0._wp
	262	DO jk = 1, jpkm1
	263	DO jj = 2, jpjm1
	264	DO ji = fs_2, fs_jpim1 ! vector opt.
	265	z2d(ji,jj) = z2d(ji,jj) + zftu(ji,jj,jk)
	266	END DO
[2528]	267	END DO
	268	END DO
[5147]	269	z2d(:,:) = - rau0_rcp * z2d(:,:) ! note sign is reversed to give down-gradient diffusive transports (#1043)
	270	CALL lbc_lnk( z2d, 'U', -1. )
	271	CALL iom_put( "udiff_heattr", z2d ) ! heat transport in i-direction
	272	!
	273	z2d(:,:) = 0._wp
	274	DO jk = 1, jpkm1
	275	DO jj = 2, jpjm1
	276	DO ji = fs_2, fs_jpim1 ! vector opt.
	277	z2d(ji,jj) = z2d(ji,jj) + zftv(ji,jj,jk)
	278	END DO
[2528]	279	END DO
	280	END DO
[5147]	281	z2d(:,:) = - rau0_rcp * z2d(:,:) ! note sign is reversed to give down-gradient diffusive transports (#1043)
	282	CALL lbc_lnk( z2d, 'V', -1. )
	283	CALL iom_put( "vdiff_heattr", z2d ) ! heat transport in i-direction
	284	END IF
	285	!
	286	ENDIF
[3]	287
[2528]	288	!!----------------------------------------------------------------------
	289	!! III - vertical trend of T & S (extra diagonal terms only)
	290	!!----------------------------------------------------------------------
	291
	292	! Local constant initialization
	293	! -----------------------------
	294	ztfw(1,:,:) = 0.e0 ; ztfw(jpi,:,:) = 0.e0
	295
	296	! Vertical fluxes
	297	! ---------------
	298
	299	! Surface and bottom vertical fluxes set to zero
	300	ztfw(:,:, 1 ) = 0.e0 ; ztfw(:,:,jpk) = 0.e0
	301
	302	! interior (2=<jk=<jpk-1)
	303	DO jk = 2, jpkm1
	304	DO jj = 2, jpjm1
	305	DO ji = fs_2, fs_jpim1 ! vector opt.
[5120]	306	zcoef0 = - fsahtw(ji,jj,jk) * wmask(ji,jj,jk)
[2528]	307	!
	308	zmsku = 1./MAX( umask(ji ,jj,jk-1) + umask(ji-1,jj,jk) &
	309	& + umask(ji-1,jj,jk-1) + umask(ji ,jj,jk), 1. )
	310	zmskv = 1./MAX( vmask(ji,jj ,jk-1) + vmask(ji,jj-1,jk) &
	311	& + vmask(ji,jj-1,jk-1) + vmask(ji,jj ,jk), 1. )
	312	!
	313	zcoef3 = zcoef0 * e2t(ji,jj) * zmsku * wslpi (ji,jj,jk)
	314	zcoef4 = zcoef0 * e1t(ji,jj) * zmskv * wslpj (ji,jj,jk)
	315	!
	316	ztfw(ji,jj,jk) = zcoef3 * ( zdit(ji ,jj ,jk-1) + zdit(ji-1,jj ,jk) &
	317	& + zdit(ji-1,jj ,jk-1) + zdit(ji ,jj ,jk) ) &
	318	& + zcoef4 * ( zdjt(ji ,jj ,jk-1) + zdjt(ji ,jj-1,jk) &
	319	& + zdjt(ji ,jj-1,jk-1) + zdjt(ji ,jj ,jk) )
	320	END DO
[457]	321	END DO
	322	END DO
[2528]	323
	324
	325	! I.5 Divergence of vertical fluxes added to the general tracer trend
	326	! -------------------------------------------------------------------
	327	DO jk = 1, jpkm1
	328	DO jj = 2, jpjm1
	329	DO ji = fs_2, fs_jpim1 ! vector opt.
[4292]	330	zbtr = 1.0 / ( e12t(ji,jj) * fse3t_n(ji,jj,jk) )
[7061]	331	ztraz(ji,jj,jk) = ( ztfw(ji,jj,jk) - ztfw(ji,jj,jk+1) ) * zbtr
[2528]	332	END DO
[457]	333	END DO
	334	END DO
[7061]	335	pta(:,:,:,jn) = pta(:,:,:,jn) + ztraz(:,:,:)
[2528]	336	!
[7061]	337	IF( l_trdtra .AND. cdtype == "TRA" .AND. jn .eq. 1 ) THEN ! save the temperature trends
	338	ztrax_T(:,:,:) = ztrax(:,:,:)
	339	ztray_T(:,:,:) = ztray(:,:,:)
	340	ztraz_T(:,:,:) = ztraz(:,:,:)
	341	ENDIF
[7544]	342	IF( l_trdtrc .AND. cdtype == "TRC" ) THEN ! save the horizontal component of diffusive trends for further diagnostics
[7061]	343	CALL trd_tra( kt, cdtype, jn, jptra_iso_x, ztrax )
	344	CALL trd_tra( kt, cdtype, jn, jptra_iso_y, ztray )
	345	CALL trd_tra( kt, cdtype, jn, jptra_iso_z1, ztraz ) ! This is the first part of the vertical component.
	346	ENDIF
[457]	347	END DO
[503]	348	!
[7061]	349	IF( l_trdtra .AND. cdtype == "TRA" ) THEN ! save the horizontal component of diffusive trends for further diagnostics
	350	CALL trd_tra( kt, cdtype, jp_tem, jptra_iso_x, ztrax_T )
	351	CALL trd_tra( kt, cdtype, jp_sal, jptra_iso_x, ztrax )
	352	CALL trd_tra( kt, cdtype, jp_tem, jptra_iso_y, ztray_T )
	353	CALL trd_tra( kt, cdtype, jp_sal, jptra_iso_y, ztray )
	354	CALL trd_tra( kt, cdtype, jp_tem, jptra_iso_z1, ztraz_T ) ! This is the first part of the vertical component
	355	CALL trd_tra( kt, cdtype, jp_sal, jptra_iso_z1, ztraz ) !
	356	ENDIF
	357	!
[7601]	358	DEALLOCATE( z2d )
	359	DEALLOCATE( zdit)
	360	DEALLOCATE( zdjt)
	361	DEALLOCATE( ztfw)
	362	DEALLOCATE( zdkt )
	363	DEALLOCATE( zdk1t )
[7061]	364	DEALLOCATE( ztrax, ztray, ztraz )
[7179]	365	IF( l_trdtra .and. cdtype == 'TRA' ) DEALLOCATE( ztrax_T, ztray_T, ztraz_T )
[2715]	366	!
[3294]	367	IF( nn_timing == 1 ) CALL timing_stop('tra_ldf_iso')
	368	!
[3]	369	END SUBROUTINE tra_ldf_iso
	370
	371	#else
	372	!!----------------------------------------------------------------------
[457]	373	!! default option : Dummy code NO rotation of the diffusive tensor
[3]	374	!!----------------------------------------------------------------------
	375	CONTAINS
[4990]	376	SUBROUTINE tra_ldf_iso( kt, kit000,cdtype, pgu, pgv, pgui, pgvi, ptb, pta, kjpt, pahtb0 ) ! Empty routine
[3294]	377	INTEGER:: kt, kit000
[2528]	378	CHARACTER(len=3) :: cdtype
[4990]	379	REAL, DIMENSION(:,:,:) :: pgu, pgv, pgui, pgvi ! tracer gradient at pstep levels
[2528]	380	REAL, DIMENSION(:,:,:,:) :: ptb, pta
[3294]	381	WRITE(,) 'tra_ldf_iso: You should not have seen this print! error?', kt, kit000, cdtype, &
	382	& pgu(1,1,1), pgv(1,1,1), ptb(1,1,1,1), pta(1,1,1,1), kjpt, pahtb0
[3]	383	END SUBROUTINE tra_ldf_iso
	384	#endif
	385
	386	!!==============================================================================
	387	END MODULE traldf_iso

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