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MODULE MODE_GRADIENT_V_PHY
IMPLICIT NONE
CONTAINS
! #######################################################
SUBROUTINE GZ_V_VW_PHY(D,PA,PDZZ,PGZ_V_VW)
! #######################################################
!
!!**** *GZ_V_VW - Cartesian Gradient operator:
!! computes the gradient in the cartesian Z
!! direction for a variable placed at the
!! V point and the result is placed at
!! the VW 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
! V point. The result is placed at the VW vorticity point.
!
!
! dzm(PA)
! PGZ_V_VW = ------
! ____y
! 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
!! --------
!! MYM : 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 SHUMAN_PHY, ONLY : DZM_PHY, MYM_PHY
USE MODD_DIMPHYEX, ONLY: DIMPHYEX_t
!
IMPLICIT NONE
!
!
!* 0.1 declarations of arguments and result
!
TYPE(DIMPHYEX_t), INTENT(IN) :: D
!
REAL, DIMENSION(D%NIT,D%NJT,D%NKT), INTENT(IN) :: PA ! variable at the U point
REAL, DIMENSION(D%NIT,D%NJT,D%NKT), INTENT(IN) :: PDZZ ! metric coefficient dzz
!
REAL, DIMENSION(D%NIT,D%NJT,D%NKT), INTENT(OUT) :: PGZ_V_VW ! result UW point
REAL, DIMENSION(D%NIT,D%NJT,D%NKT) :: PA_WORK, PDZZ_WORK
!
INTEGER :: JI,JJ,JK
INTEGER :: IIB,IJB,IIE,IJE,IKT
!
!* 0.2 declaration of local variables
!

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IIE=D%NIEC
IIB=D%NIBC
IJE=D%NJEC
IJB=D%NJBC
IKT=D%NKT
!
!----------------------------------------------------------------------------
!
!* 1. DEFINITION of GZ_V_VW
! ---------------------
!
CALL DZM_PHY(D,PA,PA_WORK)
CALL MYM_PHY(D,PDZZ,PDZZ_WORK)
!
!$mnh_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:IKT)
PGZ_V_VW(IIB:IIE,IJB:IJE,1:IKT)= PA_WORK(IIB:IIE,IJB:IJE,1:IKT) &
/ PDZZ_WORK(IIB:IIE,IJB:IJE,1:IKT)
!$mnh_end_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:IKT)
!----------------------------------------------------------------------------
!
END SUBROUTINE GZ_V_VW_PHY

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SUBROUTINE GY_V_M_PHY(D,OFLAT,PA,PDYY,PDZZ,PDZY,PGY_V_M)
USE PARKIND1, ONLY : JPRB
USE YOMHOOK , ONLY : LHOOK, DR_HOOK
! #######################################################
!
!!**** *GY_V_M* - Cartesian Gradient operator:
!! computes the gradient in the cartesian Y
!! direction for a variable placed at the
!! V point and the result is placed at
!! the mass 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
! V point. The result is placed at the mass point.
!
!
! ( ______________z )
! ( (___________y ) )
! 1 ( (d*zy dzm(PA) ) )
! PGY_V_M = ---- (dyf(PA) - (------------)) )
! ___y ( ( ) )
! 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
!! --------
!! MYF,MZF : Shuman functions (mean operators)
!! DYF,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 SHUMAN_PHY, ONLY : DZM_PHY, DYF_PHY, MYF_PHY, MZF_PHY
USE MODD_DIMPHYEX, ONLY: DIMPHYEX_t
!
IMPLICIT NONE
!
!
!* 0.1 declarations of arguments and result
!
TYPE(DIMPHYEX_t), INTENT(IN) :: D
!
LOGICAL, INTENT(IN) :: OFLAT
REAL, DIMENSION(D%NIT,D%NJT,D%NKT), INTENT(IN) :: PA ! variable at the V point
REAL, DIMENSION(D%NIT,D%NJT,D%NKT), INTENT(IN) :: PDYY ! metric coefficient dyy
REAL, DIMENSION(D%NIT,D%NJT,D%NKT), INTENT(IN) :: PDZZ ! metric coefficient dzz
REAL, DIMENSION(D%NIT,D%NJT,D%NKT), INTENT(IN) :: PDZY ! metric coefficient dzy
!
REAL, DIMENSION(D%NIT,D%NJT,D%NKT) :: PGY_V_M ! result mass point
!
REAL, DIMENSION(D%NIT,D%NJT,D%NKT) :: ZWORK1, ZWORK2, ZWORK3, ZWORK4
INTEGER :: IIB,IJB,IIE,IJE,IKT

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INTEGER :: JI,JJ,JK
!
!* 0.2 declaration of local variables
!
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('GY_V_M',0,ZHOOK_HANDLE)
!
IIE=D%NIEC
IIB=D%NIBC
IJE=D%NJEC
IJB=D%NJBC
IKT=D%NKT

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!
!----------------------------------------------------------------------------
!
!* 1. DEFINITION of GY_V_M
! --------------------
!
CALL DYF_PHY(D,PA,ZWORK1)
CALL MYF_PHY(D,PDYY,ZWORK2)
!
IF (.NOT. OFLAT) THEN
CALL DZM_PHY(D,PA,ZWORK3)
!$mnh_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:IKT)
ZWORK3(IIB:IIE,IJB:IJE,1:IKT) = ZWORK3(IIB:IIE,IJB:IJE,1:IKT) * PDZY(IIB:IIE,IJB:IJE,1:IKT)
!$mnh_end_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:IKT)

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CALL MYF_PHY(D,ZWORK3,ZWORK4)
!$mnh_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:IKT)
ZWORK4(IIB:IIE,IJB:IJE,1:IKT) = ZWORK4(IIB:IIE,IJB:IJE,1:IKT) / PDZZ(IIB:IIE,IJB:IJE,1:IKT)
!$mnh_end_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:IKT)

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CALL MZF_PHY(D,ZWORK4,ZWORK3)
!$mnh_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:IKT)
PGY_V_M(IIB:IIE,IJB:IJE,1:IKT) = ( ZWORK1(IIB:IIE,IJB:IJE,1:IKT) - ZWORK3(IIB:IIE,IJB:IJE,1:IKT)) &
/ ZWORK2(IIB:IIE,IJB:IJE,1:IKT)
!$mnh_end_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:IKT)

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ELSE
!$mnh_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:IKT)
PGY_V_M(IIB:IIE,IJB:IJE,1:IKT)= ZWORK1(IIB:IIE,IJB:IJE,1:IKT) / ZWORK2(IIB:IIE,IJB:IJE,1:IKT)
!$mnh_end_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:IKT)

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END IF
!
!----------------------------------------------------------------------------
!
IF (LHOOK) CALL DR_HOOK('GY_V_M',1,ZHOOK_HANDLE)
END SUBROUTINE GY_V_M_PHY
!
END MODULE MODE_GRADIENT_V_PHY