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WAUTELET Philippe
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!MNH_LIC Copyright 1994-2022 CNRS, Meteo-France and Universite Paul Sabatier

Juan Escobar
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!MNH_LIC This is part of the Meso-NH software governed by the CeCILL-C licence
!MNH_LIC version 1. See LICENSE, CeCILL-C_V1-en.txt and CeCILL-C_V1-fr.txt
!MNH_LIC for details. version 1.
!-----------------------------------------------------------------
! ####################
MODULE MODI_CONTRAV
! ####################
!
INTERFACE
!
SUBROUTINE CONTRAV(HLBCX,HLBCY,PRUT,PRVT,PRWT,PDXX,PDYY,PDZZ,PDZX,PDZY, &
PRUCT,PRVCT,PRWCT,KADV_ORDER )
!
!
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCX ! X direction LBC type
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCY ! Y direction LBC type
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRUT ! Cartesian comp along x
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRVT ! Cartesian comp along y
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRWT ! Cartesian comp along z
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDXX ! Metric coefficients
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDYY ! Metric coefficients
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ ! Metric coefficients
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZX ! Metric coefficients
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZY ! Metric coefficients
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PRUCT ! Contrav comp along x-bar
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PRVCT ! Contrav comp along y-bar
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PRWCT ! Contrav comp along z-bar
INTEGER, INTENT(IN) :: KADV_ORDER ! Order of the advection scheme
!
END SUBROUTINE CONTRAV
!
#ifdef MNH_OPENACC
SUBROUTINE CONTRAV_DEVICE(HLBCX,HLBCY,PRUT,PRVT,PRWT,PDXX,PDYY,PDZZ,PDZX,PDZY, &
PRUCT,PRVCT,PRWCT,KADV_ORDER,ODATA_ON_DEVICE )

Juan Escobar
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!
!
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCX ! X direction LBC type
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCY ! Y direction LBC type
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRUT ! Cartesian comp along x
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRVT ! Cartesian comp along y
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRWT ! Cartesian comp along z
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDXX ! Metric coefficients
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDYY ! Metric coefficients
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ ! Metric coefficients

Juan Escobar
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REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PDZX ! Metric coefficients
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PDZY ! Metric coefficients

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REAL, DIMENSION(:,:,:), INTENT(OUT) :: PRUCT ! Contrav comp along x-bar
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PRVCT ! Contrav comp along y-bar
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PRWCT ! Contrav comp along z-bar
INTEGER, INTENT(IN) :: KADV_ORDER ! Order of the advection scheme
LOGICAL, OPTIONAL, INTENT(IN) :: ODATA_ON_DEVICE ! Is some of the data on the accelerator device
!
!
END SUBROUTINE CONTRAV_DEVICE
#endif
!
END INTERFACE
!
END MODULE MODI_CONTRAV
!
!
!
! ##############################################################
SUBROUTINE CONTRAV(HLBCX,HLBCY,PRUT,PRVT,PRWT,PDXX,PDYY,PDZZ,PDZX,PDZY, &
PRUCT,PRVCT,PRWCT,KADV_ORDER )
! ##############################################################
!
!!**** *CONTRAV * - computes the contravariant components from the
!! cartesian components
!!
!! PURPOSE
!! -------
! This routine computes the contravariant components of vector
! defined by its cartesian components (U,V,W) , using the following
! formulae:
! UC = U / DXX
! VC = V / DYY
! ( ----------x ----------y )
! ( ---z ---z )
! 1 ( U V )
! WC = --- ( W - DZX * --- - DZY * --- )
! DZZ ( DXX DYY )
!
!
! In the no-topography case, WC = W / DZZ
!
!
!!** METHOD
!! ------
!! We employ the Shuman operators to compute the averages. The metric
!! coefficients PDXX, PDYY, PDZX, PDZY, PDZZ are dummy arguments
!!
!!
!! EXTERNAL
!! --------
!!
!!
!! IMPLICIT ARGUMENTS
!! ------------------
!!
!! Module MODD_CONF : contains configuration variable
!! LFLAT : Logical for topography
!! = .TRUE. if Zs = 0 (Flat terrain)
!!
!! REFERENCE
!! ---------
!! Book2 of documentation (subroutine CONTRAV)
!!
!!
!! AUTHOR
!! ------
!! J.L. Redelsperger * CNRM *
!! J.-P. Pinty * Laboratoire d'Aerologie*
!!
!! MODIFICATIONS
!! -------------
!! Original 27/07/94
!! Corrections 3/08/94 (by J.P. Lafore)
!! Corrections 17/10/94 (by J.P. Lafore) WC modified for w-advection
!! Corrections 19/01/11 (by J.P. Pinty) WC 4th order
!! Corrections 28/03/11 (by V.Masson) // of WC 4th order
!! J.Escobar 21/03/2013: for HALOK comment all NHALO=1 test
! P. Wautelet 20/05/2019: add name argument to ADDnFIELD_ll + new ADD4DFIELD_ll subroutine
!----------------------------------------------------------------------------
!
!* 0. DECLARATIONS
! ------------
USE MODD_CONF
USE MODD_PARAMETERS
USE MODD_GRID_n, ONLY: XZZ
!
USE MODD_ARGSLIST_ll, ONLY : HALO2LIST_ll
USE MODE_ll
!
USE MODI_GET_HALO
!
USE MODE_MPPDB
!
IMPLICIT NONE
!
!* 0.1 declarations of arguments
!
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCX ! X direction LBC type
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCY ! Y direction LBC type
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRUT ! Cartesian comp along x
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRVT ! Cartesian comp along y
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRWT ! Cartesian comp along z
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDXX ! Metric coefficients
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDYY ! Metric coefficients
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ ! Metric coefficients
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZX ! Metric coefficients
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZY ! Metric coefficients
!
!
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PRUCT ! Contrav comp along x-bar
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PRVCT ! Contrav comp along y-bar
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PRWCT ! Contrav comp along z-bar
INTEGER, INTENT(IN) :: KADV_ORDER ! Order of the advection scheme
!
!
!* 0.2 declarations of local variables
!
REAL, DIMENSION(SIZE(PDXX,1),SIZE(PDXX,2),SIZE(PDXX,3)):: Z1,Z2
INTEGER :: IIB,IIE,IJB,IJE,IKB,IKE
INTEGER :: IIU, IJU, IKU
INTEGER:: IW,IE,IS,IN ! Coordinate of forth order diffusion area
!
TYPE(LIST_ll), POINTER :: TZFIELD_U, TZFIELD_V, TZFIELD_DZX, TZFIELD_DZY
TYPE(HALO2LIST_ll), POINTER :: TZHALO2_U, TZHALO2_V, TZHALO2_DZX, TZHALO2_DZY
INTEGER :: IINFO_ll
!-----------------------------------------------------------------------
!
!* 1. Compute the horizontal contravariant components
! -----------------------------------------------
!
IF (MPPDB_INITIALIZED) THEN
!Check all IN arrays
CALL MPPDB_CHECK(PRUT,"CONTRAV beg:PRUT")
CALL MPPDB_CHECK(PRVT,"CONTRAV beg:PRVT")
CALL MPPDB_CHECK(PRWT,"CONTRAV beg:PRWT")
CALL MPPDB_CHECK(PDXX,"CONTRAV beg:PDXX")
CALL MPPDB_CHECK(PDYY,"CONTRAV beg:PDYY")
CALL MPPDB_CHECK(PDZZ,"CONTRAV beg:PDZZ")
CALL MPPDB_CHECK(PDZX,"CONTRAV beg:PDZX")
CALL MPPDB_CHECK(PDZY,"CONTRAV beg:PDZY")
END IF
!
IIU= SIZE(PDXX,1)
IJU= SIZE(PDXX,2)
IKU= SIZE(PDXX,3)
!
CALL GET_INDICE_ll( IIB,IJB,IIE,IJE)
!
IKB=1+JPVEXT
IKE=IKU - JPVEXT
!
PRUCT(:,:,:) = PRUT(:,:,:) / PDXX(:,:,:)
PRVCT(:,:,:) = PRVT(:,:,:) / PDYY(:,:,:)
!
IF (KADV_ORDER == 4 ) THEN
IF( .NOT. LFLAT) THEN
NULLIFY(TZFIELD_U)
NULLIFY(TZFIELD_V)
CALL ADD3DFIELD_ll( TZFIELD_U, PRUCT, 'CONTRAV::PRUCT' )
CALL ADD3DFIELD_ll( TZFIELD_V, PRVCT, 'CONTRAV::PRVCT' )
CALL UPDATE_HALO_ll(TZFIELD_U,IINFO_ll)
CALL UPDATE_HALO_ll(TZFIELD_V,IINFO_ll)
!!$ IF( NHALO==1 ) THEN
NULLIFY(TZFIELD_DZX)
NULLIFY(TZFIELD_DZY)
CALL ADD3DFIELD_ll( TZFIELD_DZX, PDZX, 'CONTRAV::PDZX' )
CALL ADD3DFIELD_ll( TZFIELD_DZY, PDZY, 'CONTRAV::PDZY' )
NULLIFY(TZHALO2_U)
NULLIFY(TZHALO2_V)
NULLIFY(TZHALO2_DZX)
NULLIFY(TZHALO2_DZY)
CALL INIT_HALO2_ll(TZHALO2_U,1,IIU,IJU,IKU)
CALL INIT_HALO2_ll(TZHALO2_V,1,IIU,IJU,IKU)
CALL INIT_HALO2_ll(TZHALO2_DZX,1,IIU,IJU,IKU)
CALL INIT_HALO2_ll(TZHALO2_DZY,1,IIU,IJU,IKU)
CALL UPDATE_HALO2_ll(TZFIELD_U, TZHALO2_U, IINFO_ll)
CALL UPDATE_HALO2_ll(TZFIELD_V, TZHALO2_V, IINFO_ll)
CALL UPDATE_HALO2_ll(TZFIELD_DZX, TZHALO2_DZX, IINFO_ll)
CALL UPDATE_HALO2_ll(TZFIELD_DZY, TZHALO2_DZY, IINFO_ll)
!!$ END IF
END IF
END IF
!
!
!* 2. Compute the vertical contravariant components (flat case)
! ------------------------------------
!
IF (LFLAT) THEN
PRWCT(:,:,:) = PRWT(:,:,:) / PDZZ(:,:,:)
RETURN
END IF
!
!* 3. Compute the vertical contravariant components (general case)
! ------------------------------------
!
Z1 = 0.
Z2 = 0.
!
IF (KADV_ORDER == 2 ) THEN
!
Z1(IIB:IIE,:,IKB:IKE+1)= &
(PRUCT(IIB:IIE,:,IKB:IKE+1)+PRUCT(IIB:IIE,:,IKB-1:IKE) ) &
*PDZX(IIB:IIE,:,IKB:IKE+1) *0.25 &
+(PRUCT(IIB+1:IIE+1,:,IKB:IKE+1)+PRUCT(IIB+1:IIE+1,:,IKB-1:IKE) ) &
*PDZX(IIB+1:IIE+1,:,IKB:IKE+1) *0.25
Z2(:,IJB:IJE,IKB:IKE+1)= &
(PRVCT(:,IJB:IJE,IKB:IKE+1)+PRVCT(:,IJB:IJE,IKB-1:IKE) ) &
*PDZY(:,IJB:IJE,IKB:IKE+1) *0.25 &
+(PRVCT(:,IJB+1:IJE+1,IKB:IKE+1)+PRVCT(:,IJB+1:IJE+1,IKB-1:IKE) ) &
*PDZY(:,IJB+1:IJE+1,IKB:IKE+1) *0.25
PRWCT=0.
PRWCT(IIB:IIE,IJB:IJE,IKB:IKE+1) = &
( PRWT(IIB:IIE,IJB:IJE,IKB:IKE+1) &
- Z1(IIB:IIE,IJB:IJE,IKB:IKE+1) &
- Z2(IIB:IIE,IJB:IJE,IKB:IKE+1) &
) / PDZZ(IIB:IIE,IJB:IJE,IKB:IKE+1)
!
ELSE IF (KADV_ORDER == 4 ) THEN
!
!!$ IF (NHALO == 1) THEN
IF ( LWEST_ll() .AND. HLBCX(1)/='CYCL' ) THEN
IW=IIB+2 -1
ELSE
IW=IIB+1 -1
END IF
IE=IIE-1
!!$ ELSE
!!$ IF (LWEST_ll()) THEN
!!$ IW=IIB+1
!!$ ELSE
!!$ IW=IIB
!!$ END IF
!!$ IF (LEAST_ll() .AND. HLBCX(2)/='CYCL' ) THEN
!!$ IE=IIE-1
!!$ ELSE
!!$ IE=IIE
!!$ END IF
!!$ END IF
!
!!$ IF(NHALO == 1) THEN
IF ( LSOUTH_ll() .AND. HLBCY(1)/='CYCL' ) THEN
IS=IJB+2 -1
ELSE
IS=IJB+1 -1
END IF
IN=IJE-1
!!$ ELSE
!!$ IF (LSOUTH_ll()) THEN
!!$ IS=IJB+1
!!$ ELSE
!!$ IS=IJB
!!$ END IF
!!$ IF (LNORTH_ll() .AND. HLBCY(2)/='CYCL' ) THEN
!!$ IN=IJE-1
!!$ ELSE
!!$ IN=IJE
!!$ END IF
!!$ END IF
!
!
!* 3.1 interior of the process subdomain
!
!
Z1(IW:IE,:,IKB:IKE+1)= &
7.0*( (PRUCT(IW:IE,:,IKB:IKE+1)+PRUCT(IW:IE,:,IKB-1:IKE)) &
*( 9.0*PDZX(IW:IE,:,IKB:IKE+1)-(PDZX(IW+1:IE+1,:,IKB:IKE+1) &
+PDZX(IW:IE,:,IKB:IKE+1)+PDZX(IW-1:IE-1,:,IKB:IKE+1))/3.0)/8.0 * 0.5 &
+(PRUCT(IW+1:IE+1,:,IKB:IKE+1)+PRUCT(IW+1:IE+1,:,IKB-1:IKE)) &
*( 9.0*PDZX(IW+1:IE+1,:,IKB:IKE+1)-(PDZX(IW+2:IE+2,:,IKB:IKE+1) &
+PDZX(IW+1:IE+1,:,IKB:IKE+1)+PDZX(IW:IE,:,IKB:IKE+1))/3.0)/8.0 * 0.5 )/12.0 &
-( (PRUCT(IW-1:IE-1,:,IKB:IKE+1)+PRUCT(IW-1:IE-1,:,IKB-1:IKE)) &
*PDZX(IW-1:IE-1,:,IKB:IKE+1) *0.5 &
+(PRUCT(IW+2:IE+2,:,IKB:IKE+1)+PRUCT(IW+2:IE+2,:,IKB-1:IKE)) &
*PDZX(IW+2:IE+2,:,IKB:IKE+1) *0.5)/12.0
!
Z2(:,IS:IN,IKB:IKE+1)= &
7.0*( (PRVCT(:,IS:IN,IKB:IKE+1)+PRVCT(:,IS:IN,IKB-1:IKE)) &
*( 9.0*PDZY(:,IS:IN,IKB:IKE+1)-(PDZY(:,IS+1:IN+1,IKB:IKE+1) &
+PDZY(:,IS:IN,IKB:IKE+1)+PDZY(:,IS-1:IN-1,IKB:IKE+1))/3.0)/8.0 * 0.5 &
+(PRVCT(:,IS+1:IN+1,IKB:IKE+1)+PRVCT(:,IS+1:IN+1,IKB-1:IKE)) &
*( 9.0*PDZY(:,IS+1:IN+1,IKB:IKE+1)-(PDZY(:,IS+2:IN+2,IKB:IKE+1) &
+PDZY(:,IS+1:IN+1,IKB:IKE+1)+PDZY(:,IS:IN,IKB:IKE+1))/3.0)/8.0 * 0.5 )/12.0 &
-( (PRVCT(:,IS-1:IN-1,IKB:IKE+1)+PRVCT(:,IS-1:IN-1,IKB-1:IKE)) &
*PDZY(:,IS-1:IN-1,IKB:IKE+1) *0.5 &
+(PRVCT(:,IS+2:IN+2,IKB:IKE+1)+PRVCT(:,IS+2:IN+2,IKB-1:IKE)) &
*PDZY(:,IS+2:IN+2,IKB:IKE+1) *0.5)/12.0
!
!* 3.2 limits of the process subdomain (inside the whole domain or in cyclic conditions)
!
!!$ IF (NHALO==1) THEN
Z1(IIE,:,IKB:IKE+1)= &
7.0*( (PRUCT(IIE,:,IKB:IKE+1)+PRUCT(IIE,:,IKB-1:IKE)) &
*( 9.0*PDZX(IIE,:,IKB:IKE+1)-(PDZX(IIE+1,:,IKB:IKE+1) &
+PDZX(IIE,:,IKB:IKE+1)+PDZX(IIE-1,:,IKB:IKE+1))/3.0)/8.0 * 0.5 &
+(PRUCT(IIE+1,:,IKB:IKE+1)+PRUCT(IIE+1,:,IKB-1:IKE)) &
*( 9.0*PDZX(IIE+1,:,IKB:IKE+1)-(TZHALO2_DZX%HALO2%EAST(:,IKB:IKE+1) &
+PDZX(IIE+1,:,IKB:IKE+1)+PDZX(IIE,:,IKB:IKE+1))/3.0)/8.0 * 0.5 )/12.0 &
-( (PRUCT(IIE-1,:,IKB:IKE+1)+PRUCT(IIE-1,:,IKB-1:IKE)) &
*PDZX(IIE-1,:,IKB:IKE+1) *0.5 &
+(TZHALO2_U%HALO2%EAST(:,IKB:IKE+1)+TZHALO2_U%HALO2%EAST(:,IKB-1:IKE)) &
*TZHALO2_DZX%HALO2%EAST(:,IKB:IKE+1) *0.5)/12.0
!
Z2(:,IJE,IKB:IKE+1)= &
7.0*( (PRVCT(:,IJE,IKB:IKE+1)+PRVCT(:,IJE,IKB-1:IKE)) &
*( 9.0*PDZY(:,IJE,IKB:IKE+1)-(PDZY(:,IJE+1,IKB:IKE+1) &
+PDZY(:,IJE,IKB:IKE+1)+PDZY(:,IJE-1,IKB:IKE+1))/3.0)/8.0 * 0.5 &
+(PRVCT(:,IJE+1,IKB:IKE+1)+PRVCT(:,IJE+1,IKB-1:IKE)) &
*( 9.0*PDZY(:,IJE+1,IKB:IKE+1)-(TZHALO2_DZY%HALO2%NORTH(:,IKB:IKE+1) &
+PDZY(:,IJE+1,IKB:IKE+1)+PDZY(:,IJE,IKB:IKE+1))/3.0)/8.0 * 0.5 )/12.0 &
-( (PRVCT(:,IJE-1,IKB:IKE+1)+PRVCT(:,IJE-1,IKB-1:IKE)) &
*PDZY(:,IJE-1,IKB:IKE+1) *0.5 &
+(TZHALO2_V%HALO2%NORTH(:,IKB:IKE+1)+TZHALO2_V%HALO2%NORTH(:,IKB-1:IKE)) &
*TZHALO2_DZY%HALO2%NORTH(:,IKB:IKE+1) *0.5)/12.0
!!$ END IF
!
!* 3.3 non-CYCLIC CASE IN THE X DIRECTION: 2nd order case
!
IF (HLBCX(1)/='CYCL' .AND. LWEST_ll()) THEN
!
Z1(IIB,:,IKB:IKE+1)= &
(PRUCT(IIB,:,IKB:IKE+1)+PRUCT(IIB,:,IKB-1:IKE) ) &
*PDZX(IIB,:,IKB:IKE+1) *0.25 &
+(PRUCT(IIB+1,:,IKB:IKE+1)+PRUCT(IIB+1,:,IKB-1:IKE) ) &
*PDZX(IIB+1,:,IKB:IKE+1) *0.25
END IF
!
IF (HLBCX(2)/='CYCL' .AND. LEAST_ll()) THEN
!
Z1(IIE,:,IKB:IKE+1)= &
(PRUCT(IIE,:,IKB:IKE+1)+PRUCT(IIE,:,IKB-1:IKE) ) &
*PDZX(IIE,:,IKB:IKE+1) *0.25 &
+(PRUCT(IIE+1,:,IKB:IKE+1)+PRUCT(IIE+1,:,IKB-1:IKE) ) &
*PDZX(IIE+1,:,IKB:IKE+1) *0.25
END IF
!
!* 3.4 non-CYCLIC CASE IN THE Y DIRECTION: 2nd order case
!
IF (HLBCY(1)/='CYCL' .AND. LSOUTH_ll()) THEN
!
Z2(:,IJB,IKB:IKE+1)= &
(PRVCT(:,IJB,IKB:IKE+1)+PRVCT(:,IJB,IKB-1:IKE) ) &
*PDZY(:,IJB,IKB:IKE+1) *0.25 &
+(PRVCT(:,IJB+1,IKB:IKE+1)+PRVCT(:,IJB+1,IKB-1:IKE) ) &
*PDZY(:,IJB+1,IKB:IKE+1) *0.25
!
END IF
!
IF (HLBCY(2)/='CYCL' .AND. LNORTH_ll()) THEN
!
Z2(:,IJE,IKB:IKE+1)= &
(PRVCT(:,IJE,IKB:IKE+1)+PRVCT(:,IJE,IKB-1:IKE) ) &
*PDZY(:,IJE,IKB:IKE+1) *0.25 &
+(PRVCT(:,IJE+1,IKB:IKE+1)+PRVCT(:,IJE+1,IKB-1:IKE) ) &
*PDZY(:,IJE+1,IKB:IKE+1) *0.25
!
END IF
!
!* 3.5 Vertical contyravariant wind
!
!
!!$ CALL GET_HALO(Z1)
!!$ CALL GET_HALO(Z2)
!!$
!!$ CALL MPPDB_CHECK3DM("contrav ::Z1/Z2/ PDZZ",PRECISION,Z1,Z2,PDZZ)
PRWCT=0.
PRWCT(IIB:IIE,IJB:IJE,IKB:IKE+1) = &
( PRWT(IIB:IIE,IJB:IJE,IKB:IKE+1) &
- Z1(IIB:IIE,IJB:IJE,IKB:IKE+1) &
- Z2(IIB:IIE,IJB:IJE,IKB:IKE+1) &
) / PDZZ(IIB:IIE,IJB:IJE,IKB:IKE+1)
!
END IF
!
PRWCT(:,:,1) = - PRWCT(:,:,3) ! Mirror hypothesis
!
IF (KADV_ORDER == 4 ) THEN
CALL CLEANLIST_ll(TZFIELD_U)
CALL CLEANLIST_ll(TZFIELD_V)
!!$ IF (NHALO==1) THEN
CALL CLEANLIST_ll(TZFIELD_DZX)
CALL CLEANLIST_ll(TZFIELD_DZY)
CALL DEL_HALO2_ll(TZHALO2_U)
CALL DEL_HALO2_ll(TZHALO2_V)
CALL DEL_HALO2_ll(TZHALO2_DZX)
CALL DEL_HALO2_ll(TZHALO2_DZY)
!!$ END IF
END IF
!-----------------------------------------------------------------------
IF (MPPDB_INITIALIZED) THEN
!Check all OUT arrays
CALL MPPDB_CHECK(PRUCT,"CONTRAV end:PRUCT")
CALL MPPDB_CHECK(PRVCT,"CONTRAV end:PRVCT")
CALL MPPDB_CHECK(PRWCT,"CONTRAV end:PRWCT")
END IF
!
END SUBROUTINE CONTRAV
!
#ifdef MNH_OPENACC
! ##############################################################
SUBROUTINE CONTRAV_DEVICE(HLBCX,HLBCY,PRUT,PRVT,PRWT,PDXX,PDYY,PDZZ,PDZX,PDZY, &
PRUCT,PRVCT,PRWCT,KADV_ORDER,ODATA_ON_DEVICE )

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! ##############################################################
!
!!**** *CONTRAV * - computes the contravariant components from the
!! cartesian components
!!
!! PURPOSE
!! -------
! This routine computes the contravariant components of vector
! defined by its cartesian components (U,V,W) , using the following
! formulae:
! UC = U / DXX
! VC = V / DYY
! ( ----------x ----------y )
! ( ---z ---z )
! 1 ( U V )
! WC = --- ( W - DZX * --- - DZY * --- )
! DZZ ( DXX DYY )
!
!
! In the no-topography case, WC = W / DZZ
!
!
!!** METHOD
!! ------
!! We employ the Shuman operators to compute the averages. The metric
!! coefficients PDXX, PDYY, PDZX, PDZY, PDZZ are dummy arguments
!!
!!
!! EXTERNAL
!! --------
!! MXF, MYF, MZM : Shuman functions (mean operators)
!!
!! Module MODI_SHUMAN : Interface for Shuman functions
!!
!!
!! IMPLICIT ARGUMENTS
!! ------------------
!!
!! Module MODD_CONF : contains configuration variable
!! LFLAT : Logical for topography
!! = .TRUE. if Zs = 0 (Flat terrain)
!!
!! REFERENCE
!! ---------
!! Book2 of documentation (subroutine CONTRAV)
!!
!!
!! AUTHOR
!! ------
!! J.L. Redelsperger * CNRM *
!! J.-P. Pinty * Laboratoire d'Aerologie*
!!
!! MODIFICATIONS
!! -------------
!! Original 27/07/94
!! Corrections 3/08/94 (by J.P. Lafore)
!! Corrections 17/10/94 (by J.P. Lafore) WC modified for w-advection
!! Corrections 19/01/11 (by J.P. Pinty) WC 4th order
!! Corrections 28/03/11 (by V.Masson) // of WC 4th order
!! J.Escobar 21/03/2013: for HALOK comment all NHALO=1 test
! P. Wautelet 26/06/2019: optimisation for GPU + improve readability
!----------------------------------------------------------------------------
!
!* 0. DECLARATIONS
! ------------
USE MODD_ARGSLIST_ll, ONLY: HALO2LIST_ll
USE MODD_CONF
USE MODD_GRID_n, ONLY: XZZ
USE MODD_PARAMETERS
!
USE MODE_ll
USE MODE_MPPDB
#ifdef MNH_OPENACC
USE MODE_MNH_ZWORK, ONLY: MNH_MEM_GET, MNH_MEM_POSITION_PIN, MNH_MEM_RELEASE

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use mode_msg
#endif
!
USE MODI_GET_HALO
USE MODI_SHUMAN
!
IMPLICIT NONE
!
!* 0.1 declarations of arguments
!
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCX ! X direction LBC type
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCY ! Y direction LBC type
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRUT ! Cartesian comp along x
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRVT ! Cartesian comp along y
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRWT ! Cartesian comp along z
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDXX ! Metric coefficients
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDYY ! Metric coefficients
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ ! Metric coefficients

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REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PDZX ! Metric coefficients
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PDZY ! Metric coefficients

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!
!
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PRUCT ! Contrav comp along x-bar
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PRVCT ! Contrav comp along y-bar
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PRWCT ! Contrav comp along z-bar
INTEGER, INTENT(IN) :: KADV_ORDER ! Order of the advection scheme
LOGICAL, OPTIONAL, INTENT(IN) :: ODATA_ON_DEVICE ! Is some of the data on the accelerator device
!
!
!* 0.2 declarations of local variables
!
integer :: ji, jj, jk
INTEGER :: IIB, IIE, IJB, IJE, IKB, IKE
INTEGER :: IIU, IJU, IKU
INTEGER :: IW, IE, IS, IN ! Coordinate of fourth order diffusion area
INTEGER :: IINFO_ll
LOGICAL :: GDATA_ON_DEVICE
real :: ZTMP1, ZTMP2 ! Intermediate work variables
REAL, DIMENSION(:,:), POINTER , CONTIGUOUS :: ZU_EAST, ZV_NORTH, ZDZX_EAST, ZDZY_NORTH
REAL, DIMENSION(:,:,:), POINTER, CONTIGUOUS :: Z1,Z2 ! Work arrays

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TYPE(LIST_ll), POINTER :: TZFIELD_U, TZFIELD_V, TZFIELD_DZX, TZFIELD_DZY

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TYPE(HALO2LIST_ll), SAVE, POINTER :: TZHALO2_U, TZHALO2_V, TZHALO2_DZX, TZHALO2_DZY
LOGICAL , SAVE :: GFIRST_CALL_CONTRAV_DEVICE = .TRUE.

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!
LOGICAL :: GWEST,GEAST,GSOUTH,GNORTH
!

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IF ( PRESENT(ODATA_ON_DEVICE) ) THEN
GDATA_ON_DEVICE = ODATA_ON_DEVICE
ELSE
GDATA_ON_DEVICE = .FALSE.
END IF
!-----------------------------------------------------------------------
!
!* 1. Compute the horizontal contravariant components
! -----------------------------------------------
!
IF (MPPDB_INITIALIZED) THEN
!Check all IN arrays
CALL MPPDB_CHECK(PRUT,"CONTRAV beg:PRUT")
CALL MPPDB_CHECK(PRVT,"CONTRAV beg:PRVT")
CALL MPPDB_CHECK(PRWT,"CONTRAV beg:PRWT")
CALL MPPDB_CHECK(PDXX,"CONTRAV beg:PDXX")
CALL MPPDB_CHECK(PDYY,"CONTRAV beg:PDYY")
CALL MPPDB_CHECK(PDZZ,"CONTRAV beg:PDZZ")
CALL MPPDB_CHECK(PDZX,"CONTRAV beg:PDZX")
CALL MPPDB_CHECK(PDZY,"CONTRAV beg:PDZY")
END IF
!
IIU= SIZE(PDXX,1)
IJU= SIZE(PDXX,2)
IKU= SIZE(PDXX,3)
!Pin positions in the pools of MNH memory
CALL MNH_MEM_POSITION_PIN()
CALL MNH_MEM_GET( Z1, IIU, IJU, IKU )
CALL MNH_MEM_GET( Z2, IIU, IJU, IKU )

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GWEST = ( HLBCX(1) /= 'CYCL' .AND. LWEST_ll() )
GEAST = ( HLBCX(2) /= 'CYCL' .AND. LEAST_ll() )
GSOUTH = ( HLBCY(1) /= 'CYCL' .AND. LSOUTH_ll() )
GNORTH = ( HLBCY(2) /= 'CYCL' .AND. LNORTH_ll() )
!

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CALL GET_INDICE_ll( IIB,IJB,IIE,IJE)
!
IKB=1+JPVEXT
IKE=IKU - JPVEXT

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IF (KADV_ORDER == 4 ) THEN
IF( .NOT. LFLAT) THEN
IF ( GFIRST_CALL_CONTRAV_DEVICE ) THEN
GFIRST_CALL_CONTRAV_DEVICE = .FALSE.
NULLIFY(TZHALO2_U)
NULLIFY(TZHALO2_V)
NULLIFY(TZHALO2_DZX)
NULLIFY(TZHALO2_DZY)
CALL INIT_HALO2_ll(TZHALO2_U,1,IIU,IJU,IKU)
CALL INIT_HALO2_ll(TZHALO2_V,1,IIU,IJU,IKU)
CALL INIT_HALO2_ll(TZHALO2_DZX,1,IIU,IJU,IKU)
CALL INIT_HALO2_ll(TZHALO2_DZY,1,IIU,IJU,IKU)
END IF
ZU_EAST => TZHALO2_U%HALO2%EAST
ZDZX_EAST => TZHALO2_DZX%HALO2%EAST
ZV_NORTH => TZHALO2_V%HALO2%NORTH
ZDZY_NORTH => TZHALO2_DZY%HALO2%NORTH
END IF
END IF
CALL CONTRAV_DEVICE_DIM(&
PRUT,PRVT,PRWT,&
PDXX,PDYY,PDZZ,PDZX,PDZY,&
PRUCT,PRVCT,PRWCT,Z1,Z2,&
ZU_EAST,ZV_NORTH,ZDZX_EAST,ZDZY_NORTH)
!Release all memory allocated with MNH_MEM_GET calls since last call to MNH_MEM_POSITION_PIN
CALL MNH_MEM_RELEASE()
IF (MPPDB_INITIALIZED) THEN
!Check all OUT arrays
CALL MPPDB_CHECK(PRUCT,"CONTRAV end:PRUCT")
CALL MPPDB_CHECK(PRVCT,"CONTRAV end:PRVCT")
CALL MPPDB_CHECK(PRWCT,"CONTRAV end:PRWCT")
END IF
CONTAINS
SUBROUTINE CONTRAV_DEVICE_DIM(&
PRUT,PRVT,PRWT,&
PDXX,PDYY,PDZZ,PDZX,PDZY,&
PRUCT,PRVCT,PRWCT,Z1,Z2,&
ZU_EAST,ZV_NORTH,ZDZX_EAST,ZDZY_NORTH)
IMPLICIT NONE
REAL, DIMENSION(IIU, IJU, IKU) :: &
PRUT,PRVT,PRWT,&
PDXX,PDYY,PDZZ,PDZX,PDZY,&
PRUCT,PRVCT,PRWCT,Z1,Z2
REAL :: ZU_EAST(IJU,IKU),ZV_NORTH(IIU,IKU),ZDZX_EAST(IJU,IKU),ZDZY_NORTH(IIU,IKU)
!
! Begin Compute
!
!$acc data present( PRUT, PRVT, PRWT, PDXX, PDYY, PDZZ, PDZX, PDZY, PRUCT, PRVCT, PRWCT, Z1, Z2 ) &
!$acc& present(ZU_EAST,ZV_NORTH,ZDZX_EAST,ZDZY_NORTH)

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IF (GDATA_ON_DEVICE) THEN
!PW TODO:remplacer (ailleurs aussi...) 1/PDXX... par PINV_PDXX (fait pour la turbulence...) cfr MNH/turb_hor_splt.f90
!$acc kernels
PRUCT(:,:,:) = PRUT(:,:,:) / PDXX(:,:,:)
PRVCT(:,:,:) = PRVT(:,:,:) / PDYY(:,:,:)
!$acc end kernels
! acc update self(PRUCT,PRVCT)

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ELSE
PRUCT(:,:,:) = PRUT(:,:,:) / PDXX(:,:,:)
PRVCT(:,:,:) = PRVT(:,:,:) / PDYY(:,:,:)
END IF
!
IF (KADV_ORDER == 4 ) THEN
IF( .NOT. LFLAT) THEN
!!$ NULLIFY(TZFIELD_U)
!!$ NULLIFY(TZFIELD_V)
!!$ CALL ADD3DFIELD_ll( TZFIELD_U, PRUCT, 'CONTRAV::PRUCT' )
!!$ CALL ADD3DFIELD_ll( TZFIELD_V, PRVCT, 'CONTRAV::PRVCT' )
!!$ CALL UPDATE_HALO_ll(TZFIELD_U,IINFO_ll)
!!$ CALL UPDATE_HALO_ll(TZFIELD_V,IINFO_ll)
!!$ !!$ IF( NHALO==1 ) THEN
!!$ NULLIFY(TZFIELD_DZX)
!!$ NULLIFY(TZFIELD_DZY)
!!$ CALL ADD3DFIELD_ll( TZFIELD_DZX, PDZX, 'CONTRAV::PDZX' )
!!$ CALL ADD3DFIELD_ll( TZFIELD_DZY, PDZY, 'CONTRAV::PDZY' )

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!!$ IF ( GFIRST_CALL_CONTRAV_DEVICE ) THEN
!!$ GFIRST_CALL_CONTRAV_DEVICE = .FALSE.
!!$ NULLIFY(TZHALO2_U)
!!$ NULLIFY(TZHALO2_V)
!!$ NULLIFY(TZHALO2_DZX)
!!$ NULLIFY(TZHALO2_DZY)
!!$ CALL INIT_HALO2_ll(TZHALO2_U,1,IIU,IJU,IKU)
!!$ CALL INIT_HALO2_ll(TZHALO2_V,1,IIU,IJU,IKU)
!!$ CALL INIT_HALO2_ll(TZHALO2_DZX,1,IIU,IJU,IKU)
!!$ CALL INIT_HALO2_ll(TZHALO2_DZY,1,IIU,IJU,IKU)
!!$ END IF

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!!$ CALL UPDATE_HALO2_ll(TZFIELD_U, TZHALO2_U, IINFO_ll)
!!$ CALL UPDATE_HALO2_ll(TZFIELD_V, TZHALO2_V, IINFO_ll)
!!$ CALL UPDATE_HALO2_ll(TZFIELD_DZX, TZHALO2_DZX, IINFO_ll)
!!$ CALL UPDATE_HALO2_ll(TZFIELD_DZY, TZHALO2_DZY, IINFO_ll)
!

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CALL GET_HALO2_DF(PRUCT,TZHALO2_U,'CONTRAV::PRUCT')
CALL GET_HALO2_DF(PRVCT,TZHALO2_V,'CONTRAV::PRVCT')
CALL GET_HALO2_DF(PDZX,TZHALO2_DZX,'CONTRAV::PDZX')
CALL GET_HALO2_DF(PDZY,TZHALO2_DZY,'CONTRAV::PDZY')

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!!$!$acc update device(PRUCT,PRVCT)
!!$ !!$ END IF
!
!PW: necessary because pointers does not work with OpenACC (PGI 16.1)
!!$ ALLOCATE(ZU_EAST(IJU,IKU),ZV_NORTH(IIU,IKU),ZDZX_EAST(IJU,IKU),ZDZY_NORTH(IIU,IKU))
!!$ !$acc enter data create( zu_east, zv_north, zdzx_east, zdzy_north )
!!$ !$acc kernels

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!!$ ZU_EAST => TZHALO2_U%HALO2%EAST
!!$ ZDZX_EAST => TZHALO2_DZX%HALO2%EAST
!!$ ZV_NORTH => TZHALO2_V%HALO2%NORTH
!!$ ZDZY_NORTH => TZHALO2_DZY%HALO2%NORTH

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!!$ !$acc end kernels
!!$!$acc update device(ZU_EAST,ZV_NORTH,ZDZX_EAST,ZDZY_NORTH)

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END IF ! NOT FLAT
END IF ! KADV_ORDER == 4

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!
!
!* 2. Compute the vertical contravariant components (flat case)
! ------------------------------------
!
FLAT: IF (LFLAT) THEN
IF (GDATA_ON_DEVICE) THEN
!$acc kernels
PRWCT(:,:,:) = PRWT(:,:,:) / PDZZ(:,:,:)
!$acc end kernels
! acc update self(PRWCT)

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ELSE
PRWCT(:,:,:) = PRWT(:,:,:) / PDZZ(:,:,:)
END IF
ELSE
!
!* 3. Compute the vertical contravariant components (general case)
! ------------------------------------
!
! Z1(:,:,:) = 0.

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! Z2(:,:,:) = 0.

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!

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CALL MPPDB_CHECK3DM("contrav_device :: init Z1/Z2",PRECISION,Z1,Z2)
!

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IF (KADV_ORDER == 2 ) THEN
#ifdef MNH_OPENACC
call Print_msg( NVERB_WARNING, 'GEN', 'CONTRAV', 'OpenACC: KADV_ORDER=2 and LFLAT=.TRUE. not yet tested' )
#endif

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!$acc kernels

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!

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!$mnh_do_concurrent(ji=iib:iie,jj=1:iju,jk=ikb:ike+1)

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Z1(ji, jj, jk ) = ( PRUCT(ji, jj, jk ) + PRUCT(ji, jj, jk - 1 ) ) * PDZX (ji, jj, jk ) * 0.25 &
+ ( PRUCT(ji + 1, jj, jk ) + PRUCT(ji + 1, jj, jk - 1 ) ) * PDZX (ji + 1, jj, jk ) * 0.25

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!$mnh_end_do()
!$mnh_do_concurrent(ji=1:iiu,jj=ijb:ije,jk=ikb:ike+1)

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Z2(ji, jj, jk ) = ( PRVCT(ji, jj, jk) + PRVCT( ji, jj, jk - 1) ) * PDZY(ji, jj, jk) * 0.25 &
+ ( PRVCT(ji, jj + 1, jk) + PRVCT( ji, jj + 1,jk - 1) ) * PDZY(ji, jj + 1, jk) * 0.25

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!$mnh_end_do()

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PRWCT(:,:,:)=0.

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!$mnh_do_concurrent(ji=iib:iie,jj=ijb:ije,jk=ikb:ike+1)

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PRWCT(ji ,jj, jk ) = ( PRWT(ji ,jj, jk ) - Z1(ji ,jj, jk ) - Z2(ji ,jj, jk ) ) / PDZZ(ji ,jj, jk )

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!$mnh_end_do()

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!

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!$acc end kernels

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ELSE IF (KADV_ORDER == 4 ) THEN
!
!!$ IF (NHALO == 1) THEN

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IF ( GWEST ) THEN

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IW=IIB+2 -1
ELSE
IW=IIB+1 -1
END IF
IE=IIE-1
!!$ ELSE
!!$ IF ( GWEST ) THEN

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!!$ IW=IIB+1
!!$ ELSE
!!$ IW=IIB
!!$ END IF
!!$ IF ( GEAST ) THEN

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!!$ IE=IIE-1
!!$ ELSE
!!$ IE=IIE
!!$ END IF
!!$ END IF
!
!!$ IF(NHALO == 1) THEN

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IF ( GSOUTH ) THEN

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IS=IJB+2 -1
ELSE
IS=IJB+1 -1
END IF
IN=IJE-1
!!$ ELSE
!!$ IF ( GSOUTH ) THEN

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!!$ IS=IJB+1
!!$ ELSE
!!$ IS=IJB
!!$ END IF
!!$ IF ( GNORTH ) THEN

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!!$ IN=IJE-1
!!$ ELSE
!!$ IN=IJE
!!$ END IF
!!$ END IF
!
!
!* 3.1 interior of the process subdomain

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!$acc kernels

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!
!
!PW: OpenACC remarks: *computing only ztmp2 and reusing it at next iteration works
! but ji loop can not be collapsed -> 10x slower on GPU
! *ztmp1 and ztmp2 are not necessary but improve readability (no impact on performance)

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!$mnh_do_concurrent(ji=IW:IE,jj=1:iju,jk=IKB:IKE+1)

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ztmp1 = ( 9.0 * PDZX(ji, jj, jk ) - ( PDZX(ji+1, jj, jk ) + PDZX(ji, jj, jk ) + PDZX(ji-1, jj, jk ) ) / 3.0 ) / 16.0
ztmp2 = ( 9.0 * PDZX(ji+1, jj, jk ) - ( PDZX(ji+2, jj, jk ) + PDZX(ji+1, jj, jk ) + PDZX(ji, jj, jk ) ) / 3.0 ) / 16.0
Z1(ji, jj, jk ) = 7.0 * ( ( PRUCT(ji, jj, jk ) + PRUCT(ji, jj, jk-1 ) ) * ztmp1 &
+ ( PRUCT(ji+1, jj, jk ) + PRUCT(ji+1, jj, jk-1 ) ) * ztmp2 ) / 12.0 &
- 0.5 * ( ( PRUCT(ji-1, jj, jk ) + PRUCT(ji-1, jj, jk-1 ) ) * PDZX(ji-1, jj, jk) &
+ ( PRUCT(ji+2, jj, jk ) + PRUCT(ji+2, jj, jk-1 ) ) * PDZX(ji+2, jj, jk) ) / 12.0

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!$mnh_end_do()

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!

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!$mnh_do_concurrent(ji=1:iiu,jj=is:in,jk=IKB:IKE+1)

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ztmp1 = ( 9.0 * PDZY(ji, jj, jk ) - ( PDZY(ji, jj+1, jk ) + PDZY(ji, jj, jk ) + PDZY(ji, jj-1, jk ) ) / 3.0 ) / 16.0
ztmp2 = ( 9.0 * PDZY(ji, jj+1, jk ) - ( PDZY(ji, jj+2, jk ) + PDZY(ji, jj+1, jk ) + PDZY(ji, jj, jk ) ) / 3.0 ) / 16.0
Z2(ji, jj, jk ) = 7.0 * ( ( PRVCT(ji, jj, jk ) + PRVCT(ji, jj, jk-1 ) ) * ztmp1 &
+ ( PRVCT(ji, jj+1, jk ) + PRVCT(ji, jj+1, jk-1 ) ) * ztmp2 ) / 12.0 &
- 0.5 * ( ( PRVCT(ji, jj-1, jk ) + PRVCT(ji, jj-1, jk-1 ) ) * PDZY(ji, jj-1, jk ) &
+ ( PRVCT(ji, jj+2, jk ) + PRVCT(ji, jj+2, jk-1 ) ) * PDZY(ji, jj+2, jk ) ) / 12.0

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!$mnh_end_do()

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!$acc end kernels
!
!!$CALL MPPDB_CHECK3DM("contrav_device :: dom Z1/Z2",PRECISION,Z1,Z2)

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!
!* 3.2 limits of the process subdomain (inside the whole domain or in cyclic conditions)
!
!!$ IF (NHALO==1) THEN

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!$acc kernels async

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!$mnh_do_concurrent(jj=1:iju,jk=IKB:IKE+1)

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ztmp1 = ( 9.0 * PDZX(IIE, jj, jk ) - ( PDZX(IIE+1, jj, jk ) + PDZX(IIE, jj, jk ) + PDZX(IIE-1, jj, jk ) ) / 3.0 ) / 16.0
ztmp2 = ( 9.0 * PDZX(IIE+1, jj, jk ) - ( ZDZX_EAST(jj, jk ) + PDZX(IIE+1, jj, jk ) + PDZX(IIE, jj, jk ) ) / 3.0 ) / 16.0
Z1(IIE, jj, jk ) = 7.0 * ( ( PRUCT(IIE, jj, jk ) + PRUCT(IIE, jj, jk-1 ) ) * ztmp1 &
+ ( PRUCT(IIE+1, jj, jk ) + PRUCT(IIE+1, jj, jk-1 ) ) * ztmp2 ) / 12.0 &
- 0.5 * ( ( PRUCT(IIE-1, jj, jk ) + PRUCT(IIE-1, jj, jk-1 ) ) * PDZX(IIE-1, jj, jk) &
+ ( ZU_EAST (jj, jk ) + ZU_EAST (jj, jk-1 ) ) * ZDZX_EAST (jj, jk) ) / 12.0

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!$mnh_end_do()

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!$acc end kernels

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!

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!$acc kernels async

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!$mnh_do_concurrent(ji=1:iiu,jk=IKB:IKE+1)

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ztmp1 = ( 9.0 * PDZY(ji, IJE, jk) - ( PDZY (ji, IJE+1, jk) + PDZY(ji, IJE, jk) + PDZY(ji, IJE-1, jk) ) / 3.0 ) / 16.0
ztmp2 = ( 9.0 * PDZY(ji, IJE+1, jk) - ( ZDZY_NORTH(ji, jk) + PDZY(ji, IJE+1, jk) + PDZY(ji, IJE, jk) ) / 3.0 ) / 16.0
Z2(ji, IJE, jk ) = 7.0 * ( ( PRVCT (ji, IJE, jk ) + PRVCT (ji, IJE, jk-1 ) ) * ztmp1 &
+ ( PRVCT (ji, IJE+1, jk ) + PRVCT (ji, IJE+1, jk-1 ) ) * ztmp2 ) / 12.0 &
- 0.5 * ( ( PRVCT (ji, IJE-1, jk ) + PRVCT (ji, IJE-1, jk-1 ) ) * PDZY (ji, IJE-1, jk ) &
+ ( ZV_NORTH(ji, jk ) + ZV_NORTH(ji, jk-1 ) ) * ZDZY_NORTH(ji, jk ) ) / 12.0

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!$mnh_end_do()

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!$acc end kernels

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!$acc wait

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!!$ END IF
!
!* 3.3 non-CYCLIC CASE IN THE X DIRECTION: 2nd order case
!

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IF ( GWEST ) THEN
!$acc kernels async

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Z1(IIB, :, IKB:IKE+1 ) = ( PRUCT(IIB, :, IKB:IKE+1 ) + PRUCT(IIB, :, IKB-1:IKE ) ) * PDZX(IIB, :, IKB:IKE+1 ) * 0.25 &
+ ( PRUCT(IIB+1, :, IKB:IKE+1 ) + PRUCT(IIB+1, :, IKB-1:IKE ) ) * PDZX(IIB+1, :, IKB:IKE+1 ) * 0.25

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!$acc end kernels

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END IF
!

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IF ( GEAST ) THEN
!$acc kernels async

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Z1(IIE, :, IKB:IKE+1 ) = ( PRUCT(IIE, :, IKB:IKE+1 ) + PRUCT(IIE, :, IKB-1:IKE ) ) * PDZX(IIE, :, IKB:IKE+1 ) * 0.25 &
+ ( PRUCT(IIE+1, :, IKB:IKE+1 ) + PRUCT(IIE+1, :, IKB-1:IKE ) ) * PDZX(IIE+1, :, IKB:IKE+1 ) * 0.25

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!$acc end kernels
END IF

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!
!* 3.4 non-CYCLIC CASE IN THE Y DIRECTION: 2nd order case
!

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IF ( GSOUTH ) THEN
!$acc kernels async

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Z2(:, IJB, IKB:IKE+1 ) = ( PRVCT(:, IJB, IKB:IKE+1 ) + PRVCT(:, IJB, IKB-1:IKE ) ) * PDZY(:, IJB, IKB:IKE+1 ) * 0.25 &
+ ( PRVCT(:, IJB+1, IKB:IKE+1 ) + PRVCT(:, IJB+1, IKB-1:IKE ) ) * PDZY(:, IJB+1, IKB:IKE+1 ) * 0.25

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!$acc end kernels
END IF

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!

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IF ( GNORTH ) THEN
!$acc kernels async

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Z2(:, IJE, IKB:IKE+1 ) = ( PRVCT(:, IJE, IKB:IKE+1 ) + PRVCT(:, IJE, IKB-1:IKE ) ) * PDZY(:, IJE, IKB:IKE+1 ) * 0.25 &
+ ( PRVCT(:, IJE+1, IKB:IKE+1 ) + PRVCT(:, IJE+1, IKB-1:IKE ) ) * PDZY(:, IJE+1, IKB:IKE+1 ) * 0.25

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!$acc end kernels
END IF
!$acc wait

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!
!* 3.5 Vertical contyravariant wind
!
!

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!$acc kernels

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!!$ CALL GET_HALO(Z1)
!!$ CALL GET_HALO(Z2)
!!$
!!$ CALL MPPDB_CHECK3DM("contrav_device ::Z1/Z2/ PDZZ",PRECISION,Z1,Z2,PDZZ)
PRWCT(:,:,:)=0.

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!$mnh_do_concurrent (ji=iib:iie,jj=ijb:ije,jk=ikb:ike+1)

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PRWCT(ji ,jj, jk ) = ( PRWT(ji ,jj, jk ) - Z1(ji ,jj, jk ) - Z2(ji ,jj, jk ) ) / PDZZ(ji ,jj, jk )

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!$mnh_end_do()

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!$acc end kernels

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!

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CALL MPPDB_CHECK3DM("contrav_device :: PRWCT/Z1/Z2",PRECISION,PRWCT,Z1,Z2)

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!
END IF
!

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!$acc kernels

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PRWCT(:,:,1) = - PRWCT(:,:,3) ! Mirror hypothesis
!$acc end kernels
! acc update self(PRWCT)

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!
IF (KADV_ORDER == 4 ) THEN
!!$!$acc exit data delete( zu_east, zv_north, zdzx_east, zdzy_north )
!!$ DEALLOCATE(ZU_EAST,ZV_NORTH,ZDZX_EAST,ZDZY_NORTH)
!!$ CALL CLEANLIST_ll(TZFIELD_U)
!!$ CALL CLEANLIST_ll(TZFIELD_V)
!!$ !!$ IF (NHALO==1) THEN
!!$ CALL CLEANLIST_ll(TZFIELD_DZX)
!!$ CALL CLEANLIST_ll(TZFIELD_DZY)

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!!$ CALL DEL_HALO2_ll(TZHALO2_U)
!!$ CALL DEL_HALO2_ll(TZHALO2_V)
!!$ CALL DEL_HALO2_ll(TZHALO2_DZX)
!!$ CALL DEL_HALO2_ll(TZHALO2_DZY)

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!!$ !!$ END IF
END IF
END IF FLAT
!$acc end data

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!
! End Compute
!
END SUBROUTINE CONTRAV_DEVICE_DIM

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!-----------------------------------------------------------------------

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END SUBROUTINE CONTRAV_DEVICE
#endif