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! ######spl
FUNCTION GX_U_M(PA,PDXX,PDZZ,PDZX, KKA, KKU, KL) RESULT(PGX_U_M)
USE PARKIND1, ONLY : JPRB
USE YOMHOOK , ONLY : LHOOK, DR_HOOK
! #######################################################
!
!!**** *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, ONLY: DXF, MZF, DZM, MXF
USE MODD_CONF
!
IMPLICIT NONE
!
!
!* 0.1 declarations of arguments and result
!
RODIER Quentin
committed
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
! --------------------
!
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('GX_U_M',0,ZHOOK_HANDLE)
IF (.NOT. LFLAT) THEN
PGX_U_M(:,:,:)= ( DXF(PA) - &
MZF(MXF(PDZX*DZM(PA, KKA, KKU, KL)) / PDZZ, KKA, KKU, KL) &
) / MXF(PDXX)
ELSE
PGX_U_M(:,:,:)= DXF(PA) / MXF(PDXX)
END IF
!
!----------------------------------------------------------------------------
!
IF (LHOOK) CALL DR_HOOK('GX_U_M',1,ZHOOK_HANDLE)
END FUNCTION GX_U_M
! ######spl
FUNCTION GY_U_UV(PA,PDYY,PDZZ,PDZY, KKA, KKU, KL) RESULT(PGY_U_UV)
USE PARKIND1, ONLY : JPRB
USE YOMHOOK , ONLY : LHOOK, DR_HOOK
! #########################################################
!
!!**** *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, ONLY: DYM, MZF, DZM, MXM, MYM
USE MODD_CONF
!
IMPLICIT NONE
!
!
!* 0.1 declarations of arguments and result
!
RODIER Quentin
committed
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
! ---------------------
!
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('GY_U_UV',0,ZHOOK_HANDLE)
IF (.NOT. LFLAT) THEN
PGY_U_UV(:,:,:)= (DYM(PA)- MZF(MYM(DZM(PA, KKA, KKU, KL)/&
MXM(PDZZ)) *MXM(PDZY), KKA, KKU, KL) ) / MXM(PDYY)
ELSE
PGY_U_UV(:,:,:)= DYM(PA) / MXM(PDYY)
END IF
!
!----------------------------------------------------------------------------
!
IF (LHOOK) CALL DR_HOOK('GY_U_UV',1,ZHOOK_HANDLE)
END FUNCTION GY_U_UV
! ######spl
FUNCTION GZ_U_UW(PA,PDZZ, KKA, KKU, KL) RESULT(PGZ_U_UW)
USE PARKIND1, ONLY : JPRB
USE YOMHOOK , ONLY : LHOOK, DR_HOOK
! #######################################################
!
!!**** *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, ONLY: DZM, MXM
!
IMPLICIT NONE
!
!
!* 0.1 declarations of arguments and result
!
RODIER Quentin
committed
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
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
! ---------------------
!
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('GZ_U_UW',0,ZHOOK_HANDLE)
PGZ_U_UW(:,:,:)= DZM(PA, KKA, KKU, KL) / MXM(PDZZ)
!
!----------------------------------------------------------------------------
!
IF (LHOOK) CALL DR_HOOK('GZ_U_UW',1,ZHOOK_HANDLE)
END FUNCTION GZ_U_UW