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RODIER Quentin
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MODULE MODE_GRADIENT_M_PHY
IMPLICIT NONE
CONTAINS
! #########################################
SUBROUTINE GZ_M_W_PHY(D,PY,PDZZ,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 MODD_DIMPHYEX, ONLY: DIMPHYEX_t
!
IMPLICIT NONE
!
!* 0.1 Declarations of arguments and results
! -------------------------------------
!
TYPE(DIMPHYEX_t), INTENT(IN) :: D
!
REAL, DIMENSION(D%NIT,D%NJT,D%NKT), INTENT(IN) :: PDZZ !d*zz
!
REAL, DIMENSION(D%NIT,D%NJT,D%NKT), INTENT(IN) :: PY ! variable at mass
! localization
REAL, DIMENSION(D%NIT,D%NJT,D%NKT), INTENT(OUT) :: PGZ_M_W ! result at flux
! side
!
INTEGER :: IKT,IKTB,IKTE,IIB,IJB,IIE,IJE
INTEGER :: JI,JJ,JK
!-------------------------------------------------------------------------------
!
!* 1. COMPUTE THE GRADIENT ALONG Z
! -----------------------------
!
IKT=D%NKT
IKTB=D%NKTB
IKTE=D%NKTE
IIE=D%NIEC
IIB=D%NIBC
IJE=D%NJEC
IJB=D%NJBC
DO JK=IKTB,IKTE
DO JJ=IJB,IJE
DO JI=IIB,IIE
PGZ_M_W(JI,JJ,JK) = (PY(JI,JJ,JK)-PY(JI,JJ,JK-D%NKL )) / PDZZ(JI,JJ,JK)
ENDDO
ENDDO
ENDDO
!$mnh_expand_array(JI=IIB:IIE,JJ=IJB:IJE)
PGZ_M_W(IIB:IIE,IJB:IJE,D%NKU)= (PY(IIB:IIE,IJB:IJE,D%NKU)-PY(IIB:IIE,IJB:IJE,D%NKU-D%NKL)) &
/ PDZZ(IIB:IIE,IJB:IJE,D%NKU)
PGZ_M_W(IIB:IIE,IJB:IJE,D%NKA)= PGZ_M_W(IIB:IIE,IJB:IJE,D%NKU) ! -999.
!$mnh_end_expand_array(JI=IIB:IIE,JJ=IJB:IJE)
!
!-------------------------------------------------------------------------------
!
END SUBROUTINE GZ_M_W_PHY
RODIER Quentin
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!
SUBROUTINE GX_M_M_PHY(D,OFLAT,PA,PDXX,PDZZ,PDZX,PGX_M_M)
USE PARKIND1, ONLY : JPRB
USE YOMHOOK , ONLY : LHOOK, DR_HOOK
! #######################################################
!
!!**** *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 MODD_DIMPHYEX, ONLY: DIMPHYEX_t
USE SHUMAN_PHY, ONLY: DXF_PHY, MZF_PHY, DZM_PHY, MXF_PHY, MXM_PHY
!
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 mass point
REAL, DIMENSION(D%NIT,D%NJT,D%NKT), INTENT(IN) :: PDXX ! metric coefficient dxx
REAL, DIMENSION(D%NIT,D%NJT,D%NKT), INTENT(IN) :: PDZZ ! metric coefficient dzz
REAL, DIMENSION(D%NIT,D%NJT,D%NKT), INTENT(IN) :: PDZX ! metric coefficient dzx
LOGICAL, INTENT(IN) :: OFLAT
!
REAL, DIMENSION(D%NIT,D%NJT,D%NKT), INTENT(OUT) :: PGX_M_M ! result mass point
REAL, DIMENSION(D%NIT,D%NJT,D%NKT) :: ZWORK1, ZWORK2, ZWORK3, ZWORK4, ZWORK5, ZWORK6, ZMXF_PDXX
!
INTEGER :: IIB,IJB,IIE,IJE
INTEGER :: JI,JJ,JK
!
!* 0.2 declaration of local variables
!
! NONE
!
!----------------------------------------------------------------------------
!
!* 1. DEFINITION of GX_M_M
! --------------------
!
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('GX_M_M',0,ZHOOK_HANDLE)
!
IIE=D%NIEC
IIB=D%NIBC
IJE=D%NJEC
IJB=D%NJBC
!
CALL MXF_PHY(D,PDXX,ZMXF_PDXX)
CALL MXM_PHY(D,PA,ZWORK1)
CALL DXF_PHY(D,ZWORK1,ZWORK2)
!
IF (.NOT. OFLAT) THEN
CALL DZM_PHY(D,PA,ZWORK3)
CALL MXF_PHY(D,PDZX,ZWORK4)
!$mnh_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:D%NKT)
ZWORK5(IIB:IIE,IJB:IJE,1:D%NKT) = ZWORK3(IIB:IIE,IJB:IJE,1:D%NKT) * ZWORK4(IIB:IIE,IJB:IJE,1:D%NKT) &
/ PDZZ(IIB:IIE,IJB:IJE,1:D%NKT)
!$mnh_end_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:D%NKT)
CALL MZF_PHY(D,ZWORK5,ZWORK6)
!$mnh_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:D%NKT)
PGX_M_M(IIB:IIE,IJB:IJE,1:D%NKT)= (ZWORK2(IIB:IIE,IJB:IJE,1:D%NKT) - ZWORK6(IIB:IIE,IJB:IJE,1:D%NKT)) &
/ ZMXF_PDXX(IIB:IIE,IJB:IJE,1:D%NKT)
!$mnh_end_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:D%NKT)
ELSE
!$mnh_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:D%NKT)
PGX_M_M(IIB:IIE,IJB:IJE,1:D%NKT)= ZWORK2(IIB:IIE,IJB:IJE,1:D%NKT) / ZMXF_PDXX(IIB:IIE,IJB:IJE,1:D%NKT)
!$mnh_end_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:D%NKT)
END IF
!
!----------------------------------------------------------------------------
!
IF (LHOOK) CALL DR_HOOK('GX_M_M',1,ZHOOK_HANDLE)
END SUBROUTINE GX_M_M_PHY
!
SUBROUTINE GY_M_M_PHY(D,OFLAT,PA,PDYY,PDZZ,PDZY,PGY_M_M)
USE PARKIND1, ONLY : JPRB
USE YOMHOOK , ONLY : LHOOK, DR_HOOK
! #######################################################
!
!!**** *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_DIMPHYEX, ONLY: DIMPHYEX_t
USE SHUMAN_PHY, ONLY: DYF_PHY, MZF_PHY, DZM_PHY, MYF_PHY, MYM_PHY
!
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 mass 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
LOGICAL, INTENT(IN) :: OFLAT
!
REAL, DIMENSION(D%NIT,D%NJT,D%NKT),INTENT(OUT) :: PGY_M_M ! result mass point
REAL, DIMENSION(D%NIT,D%NJT,D%NKT) :: ZWORK1, ZWORK2, ZWORK3, ZWORK4, ZWORK5, ZMYF_PDYY
!
INTEGER :: IIB,IJB,IIE,IJE
INTEGER :: JI,JJ,JK
!
!* 0.2 declaration of local variables
!
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('GY_M_M',0,ZHOOK_HANDLE)
!
IIE=D%NIEC
IIB=D%NIBC
IJE=D%NJEC
IJB=D%NJBC
!
!----------------------------------------------------------------------------
!
!* 1. DEFINITION of GY_M_M
! --------------------
!
CALL MYM_PHY(D,PA,ZWORK1)
CALL DYF_PHY(D,ZWORK1,ZWORK2)
CALL MYF_PHY(D,PDYY,ZMYF_PDYY)
!
IF (.NOT. OFLAT) THEN
!
CALL DZM_PHY(D,PA,ZWORK3)
CALL MYF_PHY(D,PDZY,ZWORK4)
!$mnh_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:D%NKT)
ZWORK5(IIB:IIE,IJB:IJE,1:D%NKT) = ZWORK4(IIB:IIE,IJB:IJE,1:D%NKT) * ZWORK3(IIB:IIE,IJB:IJE,1:D%NKT) &
/ PDZZ(IIB:IIE,IJB:IJE,1:D%NKT)
!$mnh_end_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:D%NKT)
CALL MZF_PHY(D,ZWORK5,ZWORK4)
!$mnh_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:D%NKT)
PGY_M_M(IIB:IIE,IJB:IJE,1:D%NKT)= (ZWORK2(IIB:IIE,IJB:IJE,1:D%NKT)-ZWORK4(IIB:IIE,IJB:IJE,1:D%NKT)) &
/ZMYF_PDYY(IIB:IIE,IJB:IJE,1:D%NKT)
!$mnh_end_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:D%NKT)
ELSE
!$mnh_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:D%NKT)
PGY_M_M(IIB:IIE,IJB:IJE,1:D%NKT) = ZWORK2(IIB:IIE,IJB:IJE,1:D%NKT)/ZMYF_PDYY(IIB:IIE,IJB:IJE,1:D%NKT)
!$mnh_end_expand_array(JI=IIB:IIE,JJ=IJB:IJE,JK=1:D%NKT)
ENDIF
!
!----------------------------------------------------------------------------
!
IF (LHOOK) CALL DR_HOOK('GY_M_M',1,ZHOOK_HANDLE)
END SUBROUTINE GY_M_M_PHY
RODIER Quentin
committed
END MODULE MODE_GRADIENT_M_PHY