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!MNH_LIC Copyright 1994-2020 CNRS, Meteo-France and Universite Paul Sabatier
!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_GRADIENT_U
! ######################
!
INTERFACE
!
!
FUNCTION GX_U_M(PA,PDXX,PDZZ,PDZX, KKA, KKU, KL) RESULT(PGX_U_M)
INTEGER, INTENT(IN),OPTIONAL :: KKA, KKU ! near ground and uppest atmosphere array indexes
INTEGER, INTENT(IN),OPTIONAL :: KL ! +1 if grid goes from ground to atmosphere top, -1 otherwise
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REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the U point
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDXX ! metric coefficient dxx
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ ! metric coefficient dzz
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZX ! metric coefficient dzx
!
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PGX_U_M ! result mass point
!
END FUNCTION GX_U_M
!
!
FUNCTION GY_U_UV(PA,PDYY,PDZZ,PDZY, KKA, KKU, KL) RESULT(PGY_U_UV)
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!
INTEGER, INTENT(IN),OPTIONAL :: KKA, KKU ! near ground and uppest atmosphere array indexes
INTEGER, INTENT(IN),OPTIONAL :: KL ! +1 if grid goes from ground to atmosphere top, -1 otherwise
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REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the U point
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDYY ! metric coefficient dyy
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ ! metric coefficient dzz
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZY ! metric coefficient dzy
!
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PGY_U_UV ! result UV point
!
END FUNCTION GY_U_UV
!
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#ifdef MNH_OPENACC
!
!
SUBROUTINE GY_U_UV_DEVICE(PA,PDYY,PDZZ,PDZY,PGY_U_UV_DEVICE)
REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the U point
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDYY ! metric coefficient dyy
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ ! metric coefficient dzz
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZY ! metric coefficient dzy
!
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PGY_U_UV_DEVICE ! result UV point
!
END SUBROUTINE GY_U_UV_DEVICE
#endif
!
FUNCTION GZ_U_UW(PA,PDZZ, KKA, KKU, KL) RESULT(PGZ_U_UW)
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!
INTEGER, INTENT(IN),OPTIONAL :: KKA, KKU ! near ground and uppest atmosphere array indexes
INTEGER, INTENT(IN),OPTIONAL :: KL ! +1 if grid goes from ground to atmosphere top, -1 otherwise
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REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the U point
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ ! metric coefficient dzz
!
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PGZ_U_UW ! result UW point
!
END FUNCTION GZ_U_UW
!
END INTERFACE
!
END MODULE MODI_GRADIENT_U
!
!
!
!
! #######################################################
FUNCTION GX_U_M(PA,PDXX,PDZZ,PDZX, KKA, KKU, KL) RESULT(PGX_U_M)
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! #######################################################
!
!!**** *GX_U_M* - Cartesian Gradient operator:
!! computes the gradient in the cartesian X
!! direction for a variable placed at the
!! U point and the result is placed at
!! the mass point.
!! PURPOSE
!! -------
! The purpose of this function is to compute the discrete gradient
! along the X cartesian direction for a field PA placed at the
! U point. The result is placed at the mass point.
!
!
! ( ______________z )
! ( (___________x ) )
! 1 ( (d*zx dzm(PA) ) )
! PGX_U_M = ---- (dxf(PA) - (------------)) )
! ___x ( ( ) )
! d*xx ( ( d*zz ) )
!
!
!
!!** METHOD
!! ------
!! The Chain rule of differencing is applied to variables expressed
!! in the Gal-Chen & Somerville coordinates to obtain the gradient in
!! the cartesian system
!!
!! EXTERNAL
!! --------
!! MXF,MZF : Shuman functions (mean operators)
!! DXF,DZF : Shuman functions (finite difference operators)
!!
!! IMPLICIT ARGUMENTS
!! ------------------
!! NONE
!!
!! REFERENCE
!! ---------
!! Book2 of documentation of Meso-NH (GRAD_CAR operators)
!! A Turbulence scheme for the Meso-NH model (Chapter 6)
!!
!! AUTHOR
!! ------
!! Joan Cuxart *INM and Meteo-France*
!!
!! MODIFICATIONS
!! -------------
!! Original 19/07/94
!! 18/10/00 (V.Masson) add LFLAT switch
!-------------------------------------------------------------------------
!
!* 0. DECLARATIONS
!
!
USE MODI_SHUMAN
USE MODD_CONF
!
IMPLICIT NONE
!
!
!* 0.1 declarations of arguments and result
!
INTEGER, INTENT(IN),OPTIONAL :: KKA, KKU ! near ground and uppest atmosphere array indexes
INTEGER, INTENT(IN),OPTIONAL :: KL ! +1 if grid goes from ground to atmosphere top, -1 otherwise
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REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the U point
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDXX ! metric coefficient dxx
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ ! metric coefficient dzz
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZX ! metric coefficient dzx
!
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PGX_U_M ! result mass point
!
!
!* 0.2 declaration of local variables
!
! NONE
!
!----------------------------------------------------------------------------
!
!* 1. DEFINITION of GX_U_M
! --------------------
!
IF (.NOT. LFLAT) THEN
PGX_U_M(:,:,:)= ( DXF(PA) - &
MZF(MXF(PDZX*DZM(PA)) / PDZZ ) &
) / MXF(PDXX)
ELSE
PGX_U_M(:,:,:)= DXF(PA) / MXF(PDXX)
END IF
!
!----------------------------------------------------------------------------
!
END FUNCTION GX_U_M
!
!
! #########################################################
FUNCTION GY_U_UV(PA,PDYY,PDZZ,PDZY, KKA, KKU, KL) RESULT(PGY_U_UV)
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! #########################################################
!
!!**** *GY_U_UV* - Cartesian Gradient operator:
!! computes the gradient in the cartesian Y
!! direction for a variable placed at the
!! U point and the result is placed at
!! the UV vorticity point.
!! PURPOSE
!! -------
! The purpose of this function is to compute the discrete gradient
! along the Y cartesian direction for a field PA placed at the
! U point. The result is placed at the UV vorticity point.
!
!
!
! ( _________________z )
! ( (___x _________y ) )
! 1 ( (d*zy (dzm(PA))) ) )
! PGY_U_UV= ---- (dym(PA) - ( (------ ) ) )
! ___x ( ( ( ___x ) ) )
! d*yy ( ( ( d*zz ) ) )
!
!
!
!!** METHOD
!! ------
!! The Chain rule of differencing is applied to variables expressed
!! in the Gal-Chen & Somerville coordinates to obtain the gradient in
!! the cartesian system
!!
!! EXTERNAL
!! --------
!! MXM,MYM,MZF : Shuman functions (mean operators)
!! DYM,DZM : Shuman functions (finite difference operators)
!!
!! IMPLICIT ARGUMENTS
!! ------------------
!! NONE
!!
!! REFERENCE
!! ---------
!! Book2 of documentation of Meso-NH (GRAD_CAR operators)
!! A Turbulence scheme for the Meso-NH model (Chapter 6)
!!
!! AUTHOR
!! ------
!! Joan Cuxart *INM and Meteo-France*
!!
!! MODIFICATIONS
!! -------------
!! Original 20/07/94
!! 18/10/00 (V.Masson) add LFLAT switch
!-------------------------------------------------------------------------
!
!* 0. DECLARATIONS
!
!
USE MODI_SHUMAN
USE MODD_CONF
!
IMPLICIT NONE
!
!
!* 0.1 declarations of arguments and result
!
INTEGER, INTENT(IN),OPTIONAL :: KKA, KKU ! near ground and uppest atmosphere array indexes
INTEGER, INTENT(IN),OPTIONAL :: KL ! +1 if grid goes from ground to atmosphere top, -1 otherwise
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REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the U point
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDYY ! metric coefficient dyy
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ ! metric coefficient dzz
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZY ! metric coefficient dzy
!
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PGY_U_UV ! result UV point
!
!
!* 0.2 declaration of local variables
!
! NONE
!
!----------------------------------------------------------------------------
!
!* 1. DEFINITION of GY_U_UV
! ---------------------
!
IF (.NOT. LFLAT) THEN
PGY_U_UV(:,:,:)= (DYM(PA)- MZF( MYM( DZM(PA)/&
MXM(PDZZ) ) *MXM(PDZY) ) ) / MXM(PDYY)
ELSE
PGY_U_UV(:,:,:)= DYM(PA) / MXM(PDYY)
END IF
!
!----------------------------------------------------------------------------
!
END FUNCTION GY_U_UV
!
!
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#ifdef MNH_OPENACC
! #########################################################
SUBROUTINE GY_U_UV_DEVICE(PA,PDYY,PDZZ,PDZY,PGY_U_UV_DEVICE)
! #########################################################
!
!* 0. DECLARATIONS
!
!
USE MODI_SHUMAN_DEVICE
USE MODD_CONF
!
USE MODE_MNH_ZWORK, ONLY: MNH_MEM_GET, MNH_MEM_POSITION_PIN, MNH_MEM_RELEASE
!
IMPLICIT NONE
!
!
!* 0.1 declarations of arguments and result
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the U point
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDYY ! metric coefficient dyy
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ ! metric coefficient dzz
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZY ! metric coefficient dzy
!
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PGY_U_UV_DEVICE ! result UV point
!
!
!* 0.2 declaration of local variables
!
REAL, DIMENSION(:,:,:), pointer , contiguous :: ZTMP1_DEVICE, ZTMP2_DEVICE, ZTMP3_DEVICE
!
INTEGER :: JIU,JJU,JKU
INTEGER :: JI,JJ,JK
!
!----------------------------------------------------------------------------
!$acc data present( PA, PDYY, PDZZ, PDZY, PGY_U_UV_DEVICE )
JIU = size(pa, 1 )
JJU = size(pa, 2 )
JKU = size(pa, 3 )
!Pin positions in the pools of MNH memory
CALL MNH_MEM_POSITION_PIN( 'GY_U_UV' )
CALL MNH_MEM_GET( ztmp1_device, JIU, JJU, JKU )
CALL MNH_MEM_GET( ztmp2_device, JIU, JJU, JKU )
CALL MNH_MEM_GET( ztmp3_device, JIU, JJU, JKU )
!$acc data present( ztmp1_device, ztmp2_device, ztmp3_device )
!
!* 1. DEFINITION of GY_U_UV_DEVICE
! ---------------------
!
IF (.NOT. LFLAT) THEN
CALL DZM_DEVICE( PA, ZTMP1_DEVICE )
CALL MXM_DEVICE(PDZZ,ZTMP2_DEVICE)
!$acc kernels
!$mnh_do_concurrent ( JI=1:JIU,JJ=1:JJU,JK=1:JKU)
ZTMP3_DEVICE(JI,JJ,JK) = ZTMP1_DEVICE(JI,JJ,JK)/ZTMP2_DEVICE(JI,JJ,JK)
!$mnh_end_do() !CONCURRENT
!$acc end kernels
CALL MYM_DEVICE(ZTMP3_DEVICE,ZTMP1_DEVICE)
CALL MXM_DEVICE(PDZY,ZTMP2_DEVICE)
!$acc kernels
!$mnh_do_concurrent ( JI=1:JIU,JJ=1:JJU,JK=1:JKU)
ZTMP3_DEVICE(JI,JJ,JK) = ZTMP1_DEVICE(JI,JJ,JK)*ZTMP2_DEVICE(JI,JJ,JK)
!$mnh_end_do() !CONCURRENT
!$acc end kernels
CALL MZF_DEVICE( ZTMP3_DEVICE, ZTMP2_DEVICE )
CALL DYM_DEVICE(PA,ZTMP1_DEVICE)
CALL MXM_DEVICE(PDYY,ZTMP3_DEVICE)
!$acc kernels
!$mnh_do_concurrent ( JI=1:JIU,JJ=1:JJU,JK=1:JKU)
PGY_U_UV_DEVICE(JI,JJ,JK)= ( ZTMP1_DEVICE(JI,JJ,JK) - ZTMP2_DEVICE(JI,JJ,JK) ) / ZTMP3_DEVICE(JI,JJ,JK)
!$mnh_end_do() !CONCURRENT
!$acc end kernels
ELSE
CALL DYM_DEVICE(PA,ZTMP1_DEVICE)
CALL MXM_DEVICE(PDYY,ZTMP2_DEVICE)
!$acc kernels
PGY_U_UV_DEVICE(:,:,:)= ZTMP1_DEVICE(:,:,:) / ZTMP2_DEVICE(:,:,:)
!$acc end kernels
END IF
!$acc end data
!Release all memory allocated with MNH_MEM_GET calls since last call to MNH_MEM_POSITION_PIN
CALL MNH_MEM_RELEASE( 'GY_U_UV' )
!$acc end data
!----------------------------------------------------------------------------
!
END SUBROUTINE GY_U_UV_DEVICE
!
#endif
!
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! #######################################################
FUNCTION GZ_U_UW(PA,PDZZ, KKA, KKU, KL) RESULT(PGZ_U_UW)
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! #######################################################
!
!!**** *GZ_U_UW - Cartesian Gradient operator:
!! computes the gradient in the cartesian Z
!! direction for a variable placed at the
!! U point and the result is placed at
!! the UW vorticity point.
!! PURPOSE
!! -------
! The purpose of this function is to compute the discrete gradient
! along the Z cartesian direction for a field PA placed at the
! U point. The result is placed at the UW vorticity point.
!
! dzm(PA)
! PGZ_U_UW = ------
! ____x
! d*zz
!
!!** METHOD
!! ------
!! The Chain rule of differencing is applied to variables expressed
!! in the Gal-Chen & Somerville coordinates to obtain the gradient in
!! the cartesian system
!!
!! EXTERNAL
!! --------
!! MXM : Shuman functions (mean operators)
!! DZM : Shuman functions (finite difference operators)
!!
!! IMPLICIT ARGUMENTS
!! ------------------
!! NONE
!!
!! REFERENCE
!! ---------
!! Book2 of documentation of Meso-NH (GRAD_CAR operators)
!! A Turbulence scheme for the Meso-NH model (Chapter 6)
!!
!! AUTHOR
!! ------
!! Joan Cuxart *INM and Meteo-France*
!!
!! MODIFICATIONS
!! -------------
!! Original 20/07/94
!-------------------------------------------------------------------------
!
!* 0. DECLARATIONS
!
!
USE MODI_SHUMAN
!
IMPLICIT NONE
!
!
!* 0.1 declarations of arguments and result
!
INTEGER, INTENT(IN),OPTIONAL :: KKA, KKU ! near ground and uppest atmosphere array indexes
INTEGER, INTENT(IN),OPTIONAL :: KL ! +1 if grid goes from ground to atmosphere top, -1 otherwise
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REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the U point
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ ! metric coefficient dzz
!
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PGZ_U_UW ! result UW point
!
!
!* 0.2 declaration of local variables
!
! NONE
!
!----------------------------------------------------------------------------
!
!* 1. DEFINITION of GZ_U_UW
! ---------------------
!
PGZ_U_UW(:,:,:)= DZM(PA) / MXM(PDZZ)
!
!----------------------------------------------------------------------------
!
END FUNCTION GZ_U_UW