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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_M
! ######################
!
INTERFACE
!
!
FUNCTION GX_M_M(PA,PDXX,PDZZ,PDZX) RESULT(PGX_M_M)
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the mass 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_M_M ! result mass point
!
END FUNCTION GX_M_M
!
!
FUNCTION GY_M_M(PA,PDYY,PDZZ,PDZY) RESULT(PGY_M_M)
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the mass 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_M_M ! result mass point
!
END FUNCTION GY_M_M
!
!
FUNCTION GZ_M_M(PA,PDZZ) RESULT(PGZ_M_M)
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the mass point
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ ! metric coefficient dzz
!
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PGZ_M_M ! result mass point
!
END FUNCTION GZ_M_M
!
FUNCTION GX_M_U(KKA,KKU,KL,PY,PDXX,PDZZ,PDZX) RESULT(PGX_M_U)
!
IMPLICIT NONE
!
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) :: PDXX ! d*xx
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZX ! d*zx
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ ! d*zz
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PY ! variable at mass
! localization
REAL, DIMENSION(SIZE(PY,1),SIZE(PY,2),SIZE(PY,3)) :: PGX_M_U ! result at flux
! side
END FUNCTION GX_M_U
!
!
FUNCTION GY_M_V(KKA,KKU,KL,PY,PDYY,PDZZ,PDZY) RESULT(PGY_M_V)
!
IMPLICIT NONE
!
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) :: PDYY !d*yy
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZY !d*zy
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ !d*zz
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PY ! variable at mass
! localization
REAL, DIMENSION(SIZE(PY,1),SIZE(PY,2),SIZE(PY,3)) :: PGY_M_V ! result at flux
! side
END FUNCTION GY_M_V
!
FUNCTION GZ_M_W(KKA,KKU,KL,PY,PDZZ) RESULT(PGZ_M_W)
!
IMPLICIT NONE
!
! Metric coefficient:
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) :: PDZZ !d*zz
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PY ! variable at mass
! localization
REAL, DIMENSION(SIZE(PY,1),SIZE(PY,2),SIZE(PY,3)) :: PGZ_M_W ! result at flux
! side
!
END FUNCTION GZ_M_W
!
END INTERFACE
!
END MODULE MODI_GRADIENT_M
!
!
!
! #######################################################
FUNCTION GX_M_M(PA,PDXX,PDZZ,PDZX) RESULT(PGX_M_M)
! #######################################################
!
!!**** *GX_M_M* - Cartesian Gradient operator:
!! computes the gradient in the cartesian X
!! direction for a variable placed at the
!! mass 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
! mass point. The result is placed at the mass point.
!
!
! ( ______________z )
! ( (___x ) )
! 1 ( _x (d*zx dzm(PA) ) )
! PGX_M_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
!! --------
!! MXM,MXF,MZF : Shuman functions (mean operators)
!! DXF,DZF : Shuman functions (finite difference operators)
!!
!! IMPLICIT ARGUMENTS
!! ------------------
!! MODD_CONF : LFLAT
!!
!! 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 18/07/94
!! 19/07/00 add the LFLAT switch (J. Stein)
!! J.Escobar : 15/09/2015 : WENO5 & JPHEXT <> 1
!-------------------------------------------------------------------------
!
!* 0. DECLARATIONS
!
!
USE MODI_SHUMAN
USE MODD_CONF, ONLY:LFLAT
!
IMPLICIT NONE
!
!
!* 0.1 declarations of arguments and result
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the mass 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_M_M ! result mass point
!
!
!* 0.2 declaration of local variables
!
! NONE
!
!----------------------------------------------------------------------------
!
!* 1. DEFINITION of GX_M_M
! --------------------
!
IF (.NOT. LFLAT) THEN
PGX_M_M(:,:,:)= (DXF(MXM(PA(:,:,:))) - &
MZF(MXF(PDZX)*DZM(PA(:,:,:)) &
/PDZZ(:,:,:)) ) /MXF(PDXX(:,:,:))
ELSE
PGX_M_M(:,:,:)=DXF(MXM(PA(:,:,:))) / MXF(PDXX(:,:,:))
END IF
!
!----------------------------------------------------------------------------
!
END FUNCTION GX_M_M
!
!
! #######################################################
FUNCTION GY_M_M(PA,PDYY,PDZZ,PDZY) RESULT(PGY_M_M)
! #######################################################
!
!!**** *GY_M_M* - Cartesian Gradient operator:
!! computes the gradient in the cartesian Y
!! direction for a variable placed at the
!! mass 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
! mass point. The result is placed at the mass point.
!
!
! ( ______________z )
! ( (___y ) )
! 1 ( _y (d*zy dzm(PA) ) )
! PGY_M_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
!! --------
!! MYM,MYF,MZF : Shuman functions (mean operators)
!! DYF,DZF : Shuman functions (finite difference operators)
!!
!! IMPLICIT ARGUMENTS
!! ------------------
!! MODD_CONF : LFLAT
!!
!! 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 18/07/94
!! 19/07/00 add the LFLAT switch (J. Stein)
!-------------------------------------------------------------------------
!
!* 0. DECLARATIONS
!
!
USE MODD_CONF, ONLY:LFLAT
USE MODI_SHUMAN
!
IMPLICIT NONE
!
!
!* 0.1 declarations of arguments and result
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the mass 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_M_M ! result mass point
!
!
!* 0.2 declaration of local variables
!
! NONE
!
!----------------------------------------------------------------------------
!
!* 1. DEFINITION of GY_M_M
! --------------------
!
!
IF (.NOT. LFLAT) THEN
PGY_M_M(:,:,:)= (DYF(MYM(PA))-MZF(MYF(PDZY)*DZM(PA)&
/PDZZ) ) /MYF(PDYY)
ELSE
PGY_M_M(:,:,:)= DYF(MYM(PA))/MYF(PDYY)
ENDIF
!
!----------------------------------------------------------------------------
!
END FUNCTION GY_M_M
!
!
!
! #############################################
FUNCTION GZ_M_M(PA,PDZZ) RESULT(PGZ_M_M)
! #############################################
!
!!**** *GZ_M_M* - Cartesian Gradient operator:
!! computes the gradient in the cartesian Z
!! direction for a variable placed at the
!! mass point and the result is placed at
!! the mass 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
! mass point. The result is placed at the mass point.
!
! _________z
! (dzm(PA))
! PGZ_M_M = (------ )
! ( 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
!! --------
!! MZF : 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 18/07/94
!-------------------------------------------------------------------------
!
!* 0. DECLARATIONS
!
!
USE MODI_SHUMAN
!
IMPLICIT NONE
!
!
!* 0.1 declarations of arguments and result
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PA ! variable at the mass point
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ ! metric coefficient dzz
!
REAL, DIMENSION(SIZE(PA,1),SIZE(PA,2),SIZE(PA,3)) :: PGZ_M_M ! result mass point
!
!
!* 0.2 declaration of local variables
!
! NONE
!
!----------------------------------------------------------------------------
!
!* 1. DEFINITION of GZ_M_M
! --------------------
!
PGZ_M_M(:,:,:)= MZF( DZM(PA(:,:,:))/PDZZ(:,:,:) )
!
!----------------------------------------------------------------------------
!
END FUNCTION GZ_M_M
!
!
! ##################################################
FUNCTION GX_M_U(KKA,KKU,KL,PY,PDXX,PDZZ,PDZX) RESULT(PGX_M_U)
! ##################################################
!
!!**** *GX_M_U * - Compute the gradient along x for a variable localized at
!! a mass point
!!
!! PURPOSE
!! -------
! The purpose of this routine is to compute a gradient along x
! direction for a field PY localized at a mass point. The result PGX_M_U
! is localized at a x-flux point (u point).
!
! ( ____________z )
! ( ________x )
! 1 ( dzm(PY) )
! PGX_M_U = ---- (dxm(PY) - d*zx -------- )
! d*xx ( d*zz )
!
!
!
!!** METHOD
!! ------
!! We employ the Shuman operators to compute the derivatives and the
!! averages. The metric coefficients PDXX,PDZX,PDZZ are dummy arguments.
!!
!!
!! EXTERNAL
!! --------
!! FUNCTION DXM: compute a finite difference along the x direction for
!! a variable at a mass localization
!! FUNCTION DZM: compute a finite difference along the y direction for
!! a variable at a mass localization
!! FUNCTION MXM: compute an average in the x direction for a variable
!! at a mass localization
!! FUNCTION MZF: compute an average in the z direction for a variable
!! at a flux side
!!
!! IMPLICIT ARGUMENTS
!! ------------------
!! MODD_CONF : LFLAT
!!
!! REFERENCE
!! ---------
!! Book2 of documentation (function GX_M_U)
!!
!!
!! AUTHOR
!! ------
!! P. Hereil and J. Stein * Meteo France *
!!
!! MODIFICATIONS
!! -------------
!! Original 05/07/94
!! Modification 16/03/95 change the order of the arguments
!! 19/07/00 add the LFLAT switch + inlining(J. Stein)
!! 20/08/00 optimization (J. Escobar)
!-------------------------------------------------------------------------------
!
!* 0. DECLARATIONS
! ------------
!
USE MODI_SHUMAN
USE MODD_CONF, ONLY:LFLAT
USE MODD_PARAMETERS
!
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) :: PDXX ! d*xx
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZX ! d*zx
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ ! d*zz
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PY ! variable at mass
! localization
REAL, DIMENSION(SIZE(PY,1),SIZE(PY,2),SIZE(PY,3)) :: PGX_M_U ! result at flux
! side
INTEGER IIU,IKU,JI,JK
!
INTEGER :: JJK,IJU
INTEGER :: JIJK,JIJKOR,JIJKEND
INTEGER :: JI_1JK, JIJK_1, JI_1JK_1, JIJKP1, JI_1JKP1
!
!
!-------------------------------------------------------------------------------
!
!* 1. COMPUTE THE GRADIENT ALONG X
! -----------------------------
!
IIU=SIZE(PY,1)
IJU=SIZE(PY,2)
IKU=SIZE(PY,3)
IF (.NOT. LFLAT) THEN
! PGX_M_U = ( DXM(PY) - MZF ( MXM( DZM(PY) /PDZZ ) * PDZX ) )/PDXX
!! DO JK=1+JPVEXT_TURB,IKU-JPVEXT_TURB
!! DO JI=1+JPHEXT,IIU
!! PGX_M_U(JI,:,JK)= &
!! ( PY(JI,:,JK)-PY(JI-1,:,JK) &
!! -( (PY(JI,:,JK)-PY(JI,:,JK-1)) / PDZZ(JI,:,JK) &
!! +(PY(JI-1,:,JK)-PY(JI-1,:,JK-1)) / PDZZ(JI-1,:,JK) &
!! ) * PDZX(JI,:,JK)* 0.25 &
!! -( (PY(JI,:,JK+1)-PY(JI,:,JK)) / PDZZ(JI,:,JK+1) &
!! +(PY(JI-1,:,JK+1)-PY(JI-1,:,JK)) / PDZZ(JI-1,:,JK+1) &
!! ) * PDZX(JI,:,JK+1)* 0.25 &
!! ) / PDXX(JI,:,JK)
!! END DO
!! END DO
JIJKOR = 1 + JPHEXT + IIU*IJU*(JPVEXT_TURB+1 - 1)
JIJKEND = IIU*IJU*(IKU-JPVEXT_TURB)
!CDIR NODEP
!OCL NOVREC
DO JIJK=JIJKOR , JIJKEND
! indexation
JI_1JK = JIJK - 1
JIJK_1 = JIJK - IIU*IJU*KL
JI_1JK_1 = JIJK - 1 - IIU*IJU*KL
JIJKP1 = JIJK + IIU*IJU*KL
JI_1JKP1 = JIJK - 1 + IIU*IJU*KL
!
PGX_M_U(JIJK,1,1)= &
( PY(JIJK,1,1)-PY(JI_1JK,1,1) &
-( (PY(JIJK,1,1)-PY(JIJK_1,1,1)) / PDZZ(JIJK,1,1) &
+(PY(JI_1JK,1,1)-PY(JI_1JK_1,1,1)) / PDZZ(JI_1JK,1,1) &
) * PDZX(JIJK,1,1)* 0.25 &
-( (PY(JIJKP1,1,1)-PY(JIJK,1,1)) / PDZZ(JIJKP1,1,1) &
+(PY(JI_1JKP1,1,1)-PY(JI_1JK,1,1)) / PDZZ(JI_1JKP1,1,1) &
) * PDZX(JIJKP1,1,1)* 0.25 &
) / PDXX(JIJK,1,1)
END DO
!
DO JI=1+JPHEXT,IIU
PGX_M_U(JI,:,KKU)= ( PY(JI,:,KKU)-PY(JI-1,:,KKU) ) / PDXX(JI,:,KKU)
PGX_M_U(JI,:,KKA)= PGX_M_U(JI,:,KKU) ! -999.
END DO
ELSE
! PGX_M_U = DXM(PY) / PDXX
PGX_M_U(1+1:IIU,:,:) = ( PY(1+1:IIU,:,:)-PY(1:IIU-1,:,:) ) & ! +JPHEXT
/ PDXX(1+1:IIU,:,:)
ENDIF
DO JI=1,JPHEXT
PGX_M_U(JI,:,:)=PGX_M_U(IIU-2*JPHEXT+JI,:,:) ! for reprod JPHEXT <> 1
END DO
!
!-------------------------------------------------------------------------------
!
END FUNCTION GX_M_U
!
!
! ##################################################
FUNCTION GY_M_V(KKA,KKU,KL,PY,PDYY,PDZZ,PDZY) RESULT(PGY_M_V)
! ##################################################
!
!!**** *GY_M_V * - Compute the gradient along y for a variable localized at
!! a mass point
!!
!! PURPOSE
!! -------
! The purpose of this routine is to compute a gradient along y
! direction for a field PY localized at a mass point. The result PGY_M_V
! is localized at a y-flux point (v point).
!
! ( ____________z )
! ( ________y )
! 1 ( dzm(PY) )
! PGY_M_V = ---- (dym(PY) - d*zy -------- )
! d*yy ( d*zz )
!
!
!
!
!!** METHOD
!! ------
!! We employ the Shuman operators to compute the derivatives and the
!! averages. The metric coefficients PDYY,PDZY,PDZZ are dummy arguments.
!!
!!
!! EXTERNAL
!! --------
!! FUNCTION DYM: compute a finite difference along the y direction for
!! a variable at a mass localization
!! FUNCTION DZM: compute a finite difference along the y direction for
!! a variable at a mass localization
!! FUNCTION MYM: compute an average in the x direction for a variable
!! at a mass localization
!! FUNCTION MZF: compute an average in the z direction for a variable
!! at a flux side
!!
!! IMPLICIT ARGUMENTS
!! ------------------
!! MODD_CONF : LFLAT
!!
!! REFERENCE
!! ---------
!! Book2 of documentation (function GY_M_V)
!!
!!
!! AUTHOR
!! ------
!! P. Hereil and J. Stein * Meteo France *
!!
!! MODIFICATIONS
!! -------------
!! Original 05/07/94
!! Modification 16/03/95 change the order of the arguments
!! 19/07/00 add the LFLAT switch + inlining(J. Stein)
!-------------------------------------------------------------------------------
!
!* 0. DECLARATIONS
! ------------
!
USE MODI_SHUMAN
USE MODD_CONF, ONLY:LFLAT
USE MODD_PARAMETERS
!
IMPLICIT NONE
!
!* 0.1 Declarations of arguments and results
! -------------------------------------
!
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) :: PDYY !d*yy
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZY !d*zy
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ !d*zz
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PY ! variable at mass
! localization
REAL, DIMENSION(SIZE(PY,1),SIZE(PY,2),SIZE(PY,3)) :: PGY_M_V ! result at flux
! side
INTEGER IJU,IKU,JJ,JK
!
!-------------------------------------------------------------------------------
!
!* 1. COMPUTE THE GRADIENT ALONG Y
! ----------------------------
!
IJU=SIZE(PY,2)
IKU=SIZE(PY,3)
IF (.NOT. LFLAT) THEN
! PGY_M_V = ( DYM(PY) - MZF ( MYM( DZM(PY) /PDZZ ) * PDZY ) )/PDYY
DO JK=1+JPVEXT_TURB,IKU-JPVEXT_TURB
DO JJ=1+JPHEXT,IJU
PGY_M_V(:,JJ,JK)= &
( PY(:,JJ,JK)-PY(:,JJ-1,JK) &
-( (PY(:,JJ,JK)-PY(:,JJ,JK-KL)) / PDZZ(:,JJ,JK) &
+(PY(:,JJ-1,JK)-PY(:,JJ-KL,JK-KL)) / PDZZ(:,JJ-1,JK) &
) * PDZY(:,JJ,JK)* 0.25 &
-( (PY(:,JJ,JK+KL)-PY(:,JJ,JK)) / PDZZ(:,JJ,JK+KL) &
+(PY(:,JJ-1,JK+KL)-PY(:,JJ-1,JK)) / PDZZ(:,JJ-1,JK+KL) &
) * PDZY(:,JJ,JK+KL)* 0.25 &
) / PDYY(:,JJ,JK)
END DO
END DO
!
DO JJ=1+JPHEXT,IJU
PGY_M_V(:,JJ,KKU)= ( PY(:,JJ,KKU)-PY(:,JJ-1,KKU) ) / PDYY(:,JJ,KKU)
PGY_M_V(:,JJ,KKA)= PGY_M_V(:,JJ,KKU) ! -999.
END DO
ELSE
! PGY_M_V = DYM(PY)/PDYY
PGY_M_V(:,1+1:IJU,:) = ( PY(:,1+1:IJU,:)-PY(:,1:IJU-1,:) ) & ! +JPHEXT
/ PDYY(:,1+1:IJU,:)
ENDIF
DO JJ=1,JPHEXT
PGY_M_V(:,JJ,:)=PGY_M_V(:,IJU-2*JPHEXT+JJ,:)
END DO
!
!-------------------------------------------------------------------------------
!
END FUNCTION GY_M_V
!
!
! #########################################
FUNCTION GZ_M_W(KKA,KKU,KL,PY,PDZZ) RESULT(PGZ_M_W)
! #########################################
!
!!**** *GZ_M_W * - Compute the gradient along z direction for a
!! variable localized at a mass point
!!
!! PURPOSE
!! -------
! The purpose of this routine is to compute a gradient along x,y,z
! directions for a field PY localized at a mass point. The result PGZ_M_W
! is localized at a z-flux point (w point)
!
!
! dzm(PY)
! PGZ_M_W = -------
! d*zz
!
!!** METHOD
!! ------
!! We employ the Shuman operators to compute the derivatives and the
!! averages. The metric coefficients PDZZ are dummy arguments.
!!
!!
!! EXTERNAL
!! --------
!! FUNCTION DZM : compute a finite difference along the z
!! direction for a variable at a mass localization
!!
!! IMPLICIT ARGUMENTS
!! ------------------
!! Module MODI_SHUMAN : interface for the Shuman functions
!!
!! REFERENCE
!! ---------
!! Book2 of documentation (function GZ_M_W)
!!
!!
!! AUTHOR
!! ------
!! P. Hereil and J. Stein * Meteo France *
!!
!! MODIFICATIONS
!! -------------
!! Original 05/07/94
!! Modification 16/03/95 change the order of the arguments
!! 19/07/00 inlining(J. Stein)
!-------------------------------------------------------------------------------
!
!* 0. DECLARATIONS
! ------------
!
USE MODI_SHUMAN
USE MODD_PARAMETERS
!
IMPLICIT NONE
!
!* 0.1 Declarations of arguments and results
! -------------------------------------
!
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
! Metric coefficient:
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ !d*zz
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PY ! variable at mass
! localization
REAL, DIMENSION(SIZE(PY,1),SIZE(PY,2),SIZE(PY,3)) :: PGZ_M_W ! result at flux
! side
!
INTEGER :: IKT,IKTB,IKTE
!-------------------------------------------------------------------------------
!
!* 1. COMPUTE THE GRADIENT ALONG Z
! -----------------------------
!
IKT=SIZE(PY,3)
IKTB=1+JPVEXT_TURB
IKTE=IKT-JPVEXT_TURB
PGZ_M_W(:,:,IKTB:IKTE) = (PY(:,:,IKTB:IKTE)-PY(:,:,IKTB-KL:IKTE-KL)) &
/ PDZZ(:,:,IKTB:IKTE)
PGZ_M_W(:,:,KKU)= (PY(:,:,KKU)-PY(:,:,KKU-KL)) &
/ PDZZ(:,:,KKU)
PGZ_M_W(:,:,KKA)= PGZ_M_W(:,:,KKU) ! -999.
!
!-------------------------------------------------------------------------------
!
END FUNCTION GZ_M_W