!MNH_LIC Copyright 1994-2014 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.
!-----------------------------------------------------------------
!--------------- special set of characters for RCS information
!-----------------------------------------------------------------
! $Source$ $Revision$
! MASDEV4_7 operators 2006/05/18 13:07:25
!-----------------------------------------------------------------
! ######################
MODULE MODI_GRADIENT_V
! ######################
!
INTERFACE
!
!
FUNCTION GY_V_M(KKA,KKU,KL,PA,PDYY,PDZZ,PDZY) RESULT(PGY_V_M)
!
INTEGER, INTENT(IN) :: KKA, KKU ! near ground and uppest atmosphere array indexes
INTEGER, INTENT(IN) :: KL ! +1 if grid goes from ground to atmosphere top, -1 otherwise
REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the V 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_V_M ! result mass point
!
END FUNCTION GY_V_M
!
FUNCTION GX_V_UV(KKA,KKU,KL,PA,PDXX,PDZZ,PDZX) RESULT(PGX_V_UV)
!
INTEGER, INTENT(IN) :: KKA, KKU ! near ground and uppest atmosphere array indexes
INTEGER, INTENT(IN) :: KL ! +1 if grid goes from ground to atmosphere top, -1 otherwise
REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the V 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_V_UV ! result UV point
!
END FUNCTION GX_V_UV
!
!
FUNCTION GZ_V_VW(KKA,KKU,KL,PA,PDZZ) RESULT(PGZ_V_VW)
!
INTEGER, INTENT(IN) :: KKA, KKU ! near ground and uppest atmosphere array indexes
INTEGER, INTENT(IN) :: KL ! +1 if grid goes from ground to atmosphere top, -1 otherwise
REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the V point
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ ! metric coefficient dzz
!
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PGZ_V_VW ! result VW point
!
END FUNCTION GZ_V_VW
!
!
END INTERFACE
!
END MODULE MODI_GRADIENT_V
!
!
!
! #######################################################
FUNCTION GY_V_M(KKA,KKU,KL,PA,PDYY,PDZZ,PDZY) RESULT(PGY_V_M)
! #######################################################
!
!!**** *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 MODI_SHUMAN
USE MODD_CONF
!
IMPLICIT NONE
!
!
!* 0.1 declarations of arguments and result
!
INTEGER, INTENT(IN) :: KKA, KKU ! near ground and uppest atmosphere array indexes
INTEGER, INTENT(IN) :: KL ! +1 if grid goes from ground to atmosphere top, -1 otherwise
REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the V 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_V_M ! result mass point
!
!
!* 0.2 declaration of local variables
!
! NONE
!
!----------------------------------------------------------------------------
!
!* 1. DEFINITION of GY_V_M
! --------------------
!
IF (.NOT. LFLAT) THEN
PGY_V_M(:,:,:)= (DYF(PA) - &
MZF(KKA,KKU,KL, MYF(PDZY*DZM(KKA,KKU,KL,PA))/PDZZ ) &
) / MYF(PDYY)
ELSE
PGY_V_M(:,:,:)= DYF(PA) / MYF(PDYY)
END IF
!
!----------------------------------------------------------------------------
!
END FUNCTION GY_V_M
!
!
! #########################################################
FUNCTION GX_V_UV(KKA,KKU,KL,PA,PDXX,PDZZ,PDZX) RESULT(PGX_V_UV)
! #########################################################
!
!!**** *GX_V_UV* - Cartesian Gradient operator:
!! computes the gradient in the cartesian X
!! direction for a variable placed at the
!! V 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 X cartesian direction for a field PA placed at the
! V point. The result is placed at the UV vorticity point.
!
!
! ( _________________z )
! ( (___y _________x ) )
! 1 ( (d*zx (dzm(PA))) ) )
! PGX_V_UV= ---- (dxm(PA) - ( (------ ) ) )
! ___y ( ( ( ___y ) ) )
! 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
!! --------
!! MXM,MZF,MYM : Shuman functions (mean operators)
!! DXM,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) :: KKA, KKU ! near ground and uppest atmosphere array indexes
INTEGER, INTENT(IN) :: KL ! +1 if grid goes from ground to atmosphere top, -1 otherwise
REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the V 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_V_UV ! result UV point
!
!
!* 0.2 declaration of local variables
!
! NONE
!
!----------------------------------------------------------------------------
!
!* 1. DEFINITION of GX_V_UV
! ---------------------
!
IF (.NOT. LFLAT) THEN
PGX_V_UV(:,:,:)= ( DXM(PA)- MZF(KKA,KKU,KL, MXM( DZM(KKA,KKU,KL,PA)/&
MYM(PDZZ) ) *MYM(PDZX) ) ) / MYM(PDXX)
ELSE
PGX_V_UV(:,:,:)= DXM(PA) / MYM(PDXX)
END IF
!
!----------------------------------------------------------------------------
!
END FUNCTION GX_V_UV
!
!
! #######################################################
FUNCTION GZ_V_VW(KKA,KKU,KL,PA,PDZZ) RESULT(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 MODI_SHUMAN
!
IMPLICIT NONE
!
!
!* 0.1 declarations of arguments and result
!
INTEGER, INTENT(IN) :: KKA, KKU ! near ground and uppest atmosphere array indexes
INTEGER, INTENT(IN) :: KL ! +1 if grid goes from ground to atmosphere top, -1 otherwise
REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the V point
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ ! metric coefficient dzz
!
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PGZ_V_VW ! result VW point
!
!
!* 0.2 declaration of local variables
!
! NONE
!
!----------------------------------------------------------------------------
!
!* 1. DEFINITION of GZ_V_VW
! ---------------------
!
PGZ_V_VW(:,:,:)= DZM(KKA,KKU,KL,PA) / MYM(PDZZ)
!
!----------------------------------------------------------------------------
!
END FUNCTION GZ_V_VW