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!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.
! ###############################
MODULE MODI_ADVEC_3RD_ORDER_AUX
! ###############################
!! AUTHOR
!! ------
!!
!! Correction :
!! J.Escobar : 15/09/2015 : WENO5 & JPHEXT <> 1
!-------------------------------------------------------------------------------
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!
INTERFACE
!
!-------------------------------------------------------------------------------
!
SUBROUTINE ADVEC_3RD_ORDER_UX(HLBCX,PSRC, PRUCT, PR, TPHALO2)
!
USE MODE_ll
USE MODD_LUNIT
USE MODD_CONF
USE MODD_ARGSLIST_ll, ONLY : HALO2LIST_ll
!
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCX ! X direction LBC type
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PSRC ! variable on U grid at t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRUCT ! contrav. comp. on MASS GRID
!
! output source term
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PR
TYPE(HALO2_ll), OPTIONAL, POINTER :: TPHALO2 ! halo2 for the field at t
!
END SUBROUTINE ADVEC_3RD_ORDER_UX
!
!-------------------------------------------------------------------------------
!
SUBROUTINE ADVEC_3RD_ORDER_MX(HLBCX,PSRC, PRUCT, PR, TPHALO2)
!
USE MODE_ll
USE MODD_LUNIT
USE MODD_CONF
USE MODD_ARGSLIST_ll, ONLY : HALO2LIST_ll
!
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCX ! X direction LBC type
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PSRC ! variable on U grid at t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRUCT ! contrav. comp. on MASS GRID
!
! output source term
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PR
TYPE(HALO2_ll), OPTIONAL, POINTER :: TPHALO2 ! halo2 for the field at t
!
END SUBROUTINE ADVEC_3RD_ORDER_MX
!
!-------------------------------------------------------------------------------
!
SUBROUTINE ADVEC_3RD_ORDER_VY(HLBCY,PSRC, PRVCT, PR, TPHALO2)
!
USE MODE_ll
USE MODD_LUNIT
USE MODD_CONF
USE MODD_ARGSLIST_ll, ONLY : HALO2LIST_ll
!
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCY ! Y direction LBC type
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PSRC ! variable on U grid at t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRVCT ! contrav. comp. on MASS GRID
!
! output source term
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PR
TYPE(HALO2_ll), OPTIONAL, POINTER :: TPHALO2 ! halo2 for the field at t
!
END SUBROUTINE ADVEC_3RD_ORDER_VY
!
!-------------------------------------------------------------------------------
!
SUBROUTINE ADVEC_3RD_ORDER_MY(HLBCY,PSRC, PRVCT, PR, TPHALO2)
!
USE MODE_ll
USE MODD_LUNIT
USE MODD_CONF
USE MODD_ARGSLIST_ll, ONLY : HALO2LIST_ll
!
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCY ! Y direction LBC type
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PSRC ! variable on U grid at t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRVCT ! contrav. comp. on MASS GRID
!
! output source term
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PR
TYPE(HALO2_ll), OPTIONAL, POINTER :: TPHALO2 ! halo2 for the field at t
!
END SUBROUTINE ADVEC_3RD_ORDER_MY
!
!------------------------------------------------------------------------
!
FUNCTION UP3_WZ(PSRC, PRWCT) RESULT(PR)
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PSRC ! variable on W grid at t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRWCT ! contrav. comp. on MASS GRID
!
! output source term
REAL, DIMENSION(SIZE(PSRC,1),SIZE(PSRC,2),SIZE(PSRC,3)) :: PR
!
END FUNCTION UP3_WZ
!
!-------------------------------------------------------------------------------
!
FUNCTION UP3_MZ(PSRC, PRWCT) RESULT(PR)
REAL, DIMENSION(:,:,:), INTENT(IN) :: PSRC ! variable on MASS grid at t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRWCT ! contrav. comp. on W grid
!
! output source term
REAL, DIMENSION(SIZE(PSRC,1),SIZE(PSRC,2),SIZE(PSRC,3)) :: PR
!
END FUNCTION UP3_MZ
!
END INTERFACE
!
END MODULE MODI_ADVEC_3RD_ORDER_AUX
!
!-------------------------------------------------------------------------------
!
! #############################################################
SUBROUTINE ADVEC_3RD_ORDER_UX(HLBCX,PSRC, PRUCT, PR, TPHALO2)
! #############################################################
!!
!!**** ADVEC_3RD_ORDER_UX - 3rd order upstream fluxes of U in X direction
!! input variable PSRC is on U grid, and output PR is on mass grid
!!
!! AUTHOR
!! ------
!! C.Lac * CNRM/GMME *
!!
!! MODIFICATIONS
!! -------------
!!
!-------------------------------------------------------------------------------
!
USE MODE_ll
!
USE MODD_LUNIT
USE MODD_CONF
USE MODD_ARGSLIST_ll, ONLY : HALO2LIST_ll
!
IMPLICIT NONE
!
!* 0.1 Declarations of dummy arguments :
!
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCX ! X direction LBC type
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PSRC ! variable on U grid at t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRUCT ! contrav. comp. on MASS GRID
!
! output source term
!
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PR
TYPE(HALO2_ll), OPTIONAL, POINTER :: TPHALO2 ! halo2 for the field at t
!
!* 0.2 Declarations of local variables :
!
INTEGER :: IIB,IJB ! Begining useful area in x,y,z directions
INTEGER :: IIE,IJE ! End useful area in x,y,z directions
INTEGER:: IW,IE,IWF,IEF ! Coordinate of third order diffusion area
!
INTEGER:: ILUOUT,IRESP ! for prints
!
!-------------------------------------------------------------------------------
!
!* 0.3. COMPUTES THE DOMAIN DIMENSIONS
! ------------------------------
!
CALL GET_INDICE_ll(IIB,IJB,IIE,IJE)
!
!-------------------------------------------------------------------------------
!
!* 0.4. INITIALIZE THE FIELD
! ---------------------
!
PR(:,:,:) = 0.0
!
!-------------------------------------------------------------------------------
!
SELECT CASE ( HLBCX(1) ) ! X direction LBC type: (1) for left side
!
!* 1.1 CYCLIC CASE IN THE X DIRECTION:
!
CASE ('CYCL') ! In that case one must have HLBCX(1) == HLBCX(2)
!
!!$ IF(NHALO == 1) THEN
!!$ ELSE
!!$ CALL FMLOOK_ll(CLUOUT0,CLUOUT0,ILUOUT,IRESP)
!!$ WRITE(ILUOUT,*) 'ERROR : 3rd order advection in CYCLic case '
!!$ WRITE(ILUOUT,*) 'cannot be used with NHALO=2'
!!$ CALL ABORT
!!$ STOP
!!$ END IF
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!
IWF=IW-1
IEF=IE-1
!
PR(IWF:IEF,:,:) = 1./6. * ( (2.*PSRC(IW:IE,:,:) + 5.*PSRC(IW-1:IE-1,:,:) - &
PSRC(IW-2:IE-2,:,:)) * (0.5+SIGN(0.5,PRUCT(IW-1:IE-1,:,:))) &
+ (5.*PSRC(IW:IE,:,:) + 2.*PSRC(IW-1:IE-1,:,:) - &
PSRC(IW+1:IE+1,:,:)) * (0.5-SIGN(0.5,PRUCT(IW-1:IE-1,:,:))) )
!
PR(IEF+1,:,:) = 1./6. * ( (2.*PSRC(IE+1,:,:) + 5.*PSRC(IE,:,:) - &
PSRC(IE-1,:,:)) * (0.5+SIGN(0.5,PRUCT(IE,:,:))) &
+ (5.*PSRC(IE+1,:,:) + 2.*PSRC(IE,:,:) - &
TPHALO2%EAST(:,:)) * (0.5-SIGN(0.5,PRUCT(IE,:,:))))
!
PR(IWF-1,:,:) = 1./6. * ( (2.*PSRC(IW-1,:,:) + 5.*PSRC(IW-2,:,:) - &
TPHALO2%WEST(:,:)) * (0.5+SIGN(0.5,PRUCT(IW-2,:,:))) &
+ (5.*PSRC(IW-1,:,:) + 2.*PSRC(IW-2,:,:) - &
PSRC(IW,:,:)) * (0.5-SIGN(0.5,PRUCT(IW-2,:,:))) )
!
! OPEN, WALL, NEST CASE IN THE X DIRECTION
!
CASE ('OPEN','WALL','NEST')
!
! USE A FIRST ORDER UPSTREAM SCHEME AT THE PHYSICAL BORDER
!
IF (LWEST_ll()) THEN
IW=IIB+2 ! special case of C grid
ELSE
!!$ IF(NHALO == 1) THEN
!!$ ELSE
!!$ IW=IIB
!!$ ENDIF
!!$ IF (LEAST_ll() .OR. NHALO == 1) THEN
IF (LEAST_ll()) THEN
IE=IIE
ELSE
IE=IIE
END IF
!
IWF=IW-1
IEF=IE-1
!
IF(LWEST_ll()) THEN
PR(IWF-1,:,:) = PSRC(IW-2,:,:) * (0.5+SIGN(0.5,PRUCT(IW-2,:,:))) &
+ PSRC(IW-1,:,:) * (0.5-SIGN(0.5,PRUCT(IW-2,:,:)))
!!$ ELSEIF (NHALO == 1) THEN
ELSE
PR(IWF-1,:,:) = 1./6. * ( (2.*PSRC(IW-1,:,:) + 5.*PSRC(IW-2,:,:) - &
TPHALO2%WEST(:,:)) * (0.5+SIGN(0.5,PRUCT(IW-2,:,:))) &
+ (5.*PSRC(IW-1,:,:) + 2.*PSRC(IW-2,:,:) - &
PSRC(IW,:,:)) * (0.5-SIGN(0.5,PRUCT(IW-2,:,:))) )
ENDIF
!
IF(LEAST_ll()) THEN
PR(IEF+1,:,:) = PSRC(IE,:,:) * (0.5+SIGN(0.5,PRUCT(IE,:,:))) &
+ PSRC(IE+1,:,:) * (0.5-SIGN(0.5,PRUCT(IE,:,:)))
!!$ ELSEIF (NHALO == 1) THEN
ELSE
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PR(IEF+1,:,:) = 1./6. * ( (2.*PSRC(IE+1,:,:) + 5.*PSRC(IE,:,:) - &
PSRC(IE-1,:,:)) * (0.5+SIGN(0.5,PRUCT(IE,:,:))) &
+ (5.*PSRC(IE+1,:,:) + 2.*PSRC(IE,:,:) - &
TPHALO2%EAST(:,:)) * (0.5-SIGN(0.5,PRUCT(IE,:,:))))
ENDIF
!
! USE A THIRD ORDER UPSTREAM SCHEME ELSEWHERE
!
PR(IWF:IEF,:,:) = 1./6. * ( (2.*PSRC(IW:IE,:,:) + 5.*PSRC(IW-1:IE-1,:,:) - &
PSRC(IW-2:IE-2,:,:)) * (0.5+SIGN(0.5,PRUCT(IW-1:IE-1,:,:))) &
+ (5.*PSRC(IW:IE,:,:) + 2.*PSRC(IW-1:IE-1,:,:) - &
PSRC(IW+1:IE+1,:,:)) * (0.5-SIGN(0.5,PRUCT(IW-1:IE-1,:,:))) )
!
END SELECT
!
PR = PR * PRUCT
!
END SUBROUTINE ADVEC_3RD_ORDER_UX
!
!-------------------------------------------------------------------------------
!
! #############################################################
SUBROUTINE ADVEC_3RD_ORDER_MX(HLBCX,PSRC, PRUCT, PR, TPHALO2)
! #############################################################
!!
!!**** ADVEC_3RD_ORDER_MX - 3rd order upstream fluxes of variable in X direction
!! Input variable PSRC is on MASS grid, and output PR is on U grid
!!
!! AUTHOR
!! ------
!! C.Lac * CNRM/GMME *
!!
!! MODIFICATIONS
!! -------------
!!
!-------------------------------------------------------------------------------
!
USE MODE_ll
USE MODD_LUNIT
USE MODD_CONF
USE MODD_ARGSLIST_ll, ONLY : HALO2LIST_ll
!
IMPLICIT NONE
!
!* 0.1 Declarations of dummy arguments :
!
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCX ! X direction LBC type
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PSRC ! variable on U grid at t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRUCT ! contrav. comp. on MASS GRID
!
! output source term
!
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PR
TYPE(HALO2_ll), OPTIONAL, POINTER :: TPHALO2 ! halo2 for the field at t
!
!
!* 0.2 Declarations of local variables :
!
INTEGER :: IIB,IJB ! Begining useful area in x,y,z directions
INTEGER :: IIE,IJE ! End useful area in x,y,z directions
INTEGER:: IW,IE,IWF,IEF ! Coordinate of third order diffusion area
!
INTEGER:: ILUOUT,IRESP ! for prints
!-------------------------------------------------------------------------------
!
!* 0.3. COMPUTES THE DOMAIN DIMENSIONS
! ------------------------------
!
CALL GET_INDICE_ll(IIB,IJB,IIE,IJE)
!
!-------------------------------------------------------------------------------
!
!* 0.4. INITIALIZE THE FIELD
! ---------------------
!
PR(:,:,:) = 0.0
!
!-------------------------------------------------------------------------------
!
SELECT CASE ( HLBCX(1) ) ! X direction LBC type: (1) for left side
!
!* 1.1 CYCLIC CASE IN THE X DIRECTION:
!
CASE ('CYCL') ! In that case one must have HLBCX(1) == HLBCX(2)
!
!!$ IF(NHALO == 1) THEN
!!$ ELSE
!!$ CALL FMLOOK_ll(CLUOUT0,CLUOUT0,ILUOUT,IRESP)
!!$ WRITE(ILUOUT,*) 'ERROR : 3rd order advection in CYCLic case '
!!$ WRITE(ILUOUT,*) 'cannot be used with NHALO=2'
!!$ CALL ABORT
!!$ STOP
!!$ END IF
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!
IWF=IW
IEF=IE
!
PR(IWF:IEF,:,:) = 1./6. * ( (2.*PSRC(IW:IE,:,:) + 5.*PSRC(IW-1:IE-1,:,:) - &
PSRC(IW-2:IE-2,:,:)) * (0.5+SIGN(0.5,PRUCT(IW:IE,:,:))) &
+ (5.*PSRC(IW:IE,:,:) + 2.*PSRC(IW-1:IE-1,:,:) - &
PSRC(IW+1:IE+1,:,:)) * (0.5-SIGN(0.5,PRUCT(IW:IE,:,:))) )
!
PR(IWF-1,:,:) = 1./6. * ( (2.*PSRC(IW-1,:,:) + 5.*PSRC(IW-2,:,:) - &
TPHALO2%WEST(:,:)) * (0.5+SIGN(0.5,PRUCT(IW-1,:,:))) &
+ (5.*PSRC(IW-1,:,:) + 2.*PSRC(IW-2,:,:) - &
PSRC(IW,:,:)) * (0.5-SIGN(0.5,PRUCT(IW-1,:,:))) )
!
PR(IEF+1,:,:) = 1./6. * ( (2.*PSRC(IE+1,:,:) + 5.*PSRC(IE,:,:) - &
PSRC(IE-1,:,:)) * (0.5+SIGN(0.5,PRUCT(IE+1,:,:))) &
+ (5.*PSRC(IE+1,:,:) + 2.*PSRC(IE,:,:) - &
TPHALO2%EAST) * (0.5-SIGN(0.5,PRUCT(IE+1,:,:))) )
!
! OPEN, WALL, NEST CASE IN THE X DIRECTION
!
CASE ('OPEN','WALL','NEST')
!
! USE A FIRST ORDER UPSTREAM SCHEME AT THE PHYSCIAL BORDER
!
IF (LWEST_ll()) THEN
IW=IIB+1
ELSE
!!$ IF(NHALO == 1) THEN
!!$ ELSE
!!$ IW=IIB
!!$ ENDIF
!!$ IF (LEAST_ll() .OR. NHALO == 1) THEN
IF (LEAST_ll()) THEN
IE=IIE
ELSE
IE=IIE
END IF
!
IWF=IW
IEF=IE
!
IF(LWEST_ll()) THEN
PR(IWF-1,:,:) = PSRC(IW-2,:,:) * (0.5+SIGN(0.5,PRUCT(IW-1,:,:))) &
+ PSRC(IW-1,:,:) * (0.5-SIGN(0.5,PRUCT(IW-1,:,:)))
!!$ ELSEIF (NHALO == 1) THEN
ELSE
PR(IWF-1,:,:) = 1./6. * ( (2.*PSRC(IW-1,:,:) + 5.*PSRC(IW-2,:,:) - &
TPHALO2%WEST(:,:)) * (0.5+SIGN(0.5,PRUCT(IW-1,:,:))) &
+ (5.*PSRC(IW-1,:,:) + 2.*PSRC(IW-2,:,:) - &
PSRC(IW,:,:)) * (0.5-SIGN(0.5,PRUCT(IW-1,:,:))) )
ENDIF
!
IF(LEAST_ll()) THEN
PR(IEF+1,:,:) = PSRC(IE,:,:) * (0.5+SIGN(0.5,PRUCT(IE+1,:,:))) &
+ PSRC(IE+1,:,:) * (0.5-SIGN(0.5,PRUCT(IE+1,:,:)))
!!$ ELSEIF (NHALO == 1) THEN
ELSE
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PR(IEF+1,:,:) = 1./6. * ( (2.*PSRC(IE+1,:,:) + 5.*PSRC(IE,:,:) - &
PSRC(IE-1,:,:)) * (0.5+SIGN(0.5,PRUCT(IE+1,:,:))) &
+ (5.*PSRC(IE+1,:,:) + 2.*PSRC(IE,:,:) - &
TPHALO2%EAST) * (0.5-SIGN(0.5,PRUCT(IE+1,:,:))) )
ENDIF
!
! USE A THIRD ORDER UPSTREAM SCHEME ELSEWHERE
!
PR(IWF:IEF,:,:) = 1./6. * ( (2.*PSRC(IW:IE,:,:) + 5.*PSRC(IW-1:IE-1,:,:) - &
PSRC(IW-2:IE-2,:,:)) * (0.5+SIGN(0.5,PRUCT(IW:IE,:,:))) &
+ (5.*PSRC(IW:IE,:,:) + 2.*PSRC(IW-1:IE-1,:,:) - &
PSRC(IW+1:IE+1,:,:)) * (0.5-SIGN(0.5,PRUCT(IW:IE,:,:))) )
!
END SELECT
!
PR = PR * PRUCT
!
END SUBROUTINE ADVEC_3RD_ORDER_MX
!
!-------------------------------------------------------------------------------
!
! #############################################################
SUBROUTINE ADVEC_3RD_ORDER_VY(HLBCY,PSRC, PRVCT, PR, TPHALO2)
! #############################################################
!!
!!**** ADVEC_3RD_ORDER_VY - 3rd order upstream fluxes of V in Y direction
!! Input variable PSRC is on V grid, and output PR is on MASS grid
!!
!! AUTHOR
!! ------
!! C.Lac * CNRM/GMME *
!!
!! MODIFICATIONS
!! -------------
!!
!-------------------------------------------------------------------------------
!
USE MODE_ll
USE MODD_LUNIT
USE MODD_CONF
USE MODD_ARGSLIST_ll, ONLY : HALO2LIST_ll
!
IMPLICIT NONE
!
!* 0.1 Declarations of dummy arguments :
!
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCY ! Y direction LBC type
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PSRC ! variable on U grid at t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRVCT ! contrav. comp. on MASS GRID
!
! output source term
!
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PR
TYPE(HALO2_ll), OPTIONAL, POINTER :: TPHALO2 ! halo2 for the field at t
!
!* 0.2 Declarations of local variables :
!
INTEGER :: IIB,IJB ! Begining useful area in x,y,z directions
INTEGER :: IIE,IJE ! End useful area in x,y,z directions
INTEGER:: IS,IN,ISF,INF ! Coordinate of third order diffusion area
!
INTEGER:: ILUOUT,IRESP ! for prints
!-------------------------------------------------------------------------------
!
!* 0.3. COMPUTES THE DOMAIN DIMENSIONS
! ------------------------------
!
CALL GET_INDICE_ll(IIB,IJB,IIE,IJE)
!
!-------------------------------------------------------------------------------
!
!* 0.4. INITIALIZE THE FIELD
! ---------------------
!
PR(:,:,:) = 0.0
!
!-------------------------------------------------------------------------------
!
SELECT CASE ( HLBCY(1) ) !
!
!* 1.1 CYCLIC CASE IN THE Y DIRECTION:
!
CASE ('CYCL') ! In that case one must have HLBCY(1) == HLBCY(2)
!
!!$ IF(NHALO == 1) THEN
!!$ ELSE
!!$ CALL FMLOOK_ll(CLUOUT0,CLUOUT0,ILUOUT,IRESP)
!!$ WRITE(ILUOUT,*) 'ERROR : 4th order advection in CYCLic case '
!!$ WRITE(ILUOUT,*) 'cannot be used with NHALO=2'
!!$ CALL ABORT
!!$ STOP
!!$ END IF
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!
ISF=IS-1
INF=IN-1
!
PR(:,ISF:INF,:) = 1./6. * ( (2.*PSRC(:,IS:IN,:) + 5.*PSRC(:,IS-1:IN-1,:) - &
PSRC(:,IS-2:IN-2,:)) * (0.5+SIGN(0.5,PRVCT(:,IS-1:IN-1,:))) &
+ (5.*PSRC(:,IS:IN,:) + 2.*PSRC(:,IS-1:IN-1,:) - &
PSRC(:,IS+1:IN+1,:)) * (0.5-SIGN(0.5,PRVCT(:,IS-1:IN-1,:))) )
!
PR(:,ISF-1,:) = 1./6. * ( (2.*PSRC(:,IS-1,:) + 5.*PSRC(:,IS-2,:) - &
TPHALO2%SOUTH(:,:)) * (0.5+SIGN(0.5,PRVCT(:,IS-2,:))) &
+ (5.*PSRC(:,IS-1,:) + 2.*PSRC(:,IS-2,:) - &
PSRC(:,IS,:)) * (0.5-SIGN(0.5,PRVCT(:,IS-2,:))) )
!
PR(:,INF+1,:) = 1./6. * ( (2.*PSRC(:,IN+1,:) + 5.*PSRC(:,IN,:) - &
PSRC(:,IN-1,:)) * (0.5+SIGN(0.5,PRVCT(:,IN,:))) &
+ (5.*PSRC(:,IN+1,:) + 2.*PSRC(:,IN,:) - &
TPHALO2%NORTH(:,:)) * (0.5-SIGN(0.5,PRVCT(:,IN,:))) )
!
! OPEN, WALL, NEST CASES IN THE Y DIRECTION
!
CASE ('OPEN','WALL','NEST')
!
! USE A FIRST ORDER UPSTREAM SCHEME AT THE PHYSICAL BORDER
!
IF (LSOUTH_ll()) THEN
IS=IJB+2
ELSE
!!$ IF(NHALO == 1) THEN
!!$ ELSE
!!$ IS=IJB
!!$ ENDIF
!!$ IF (LNORTH_ll() .OR. NHALO == 1) THEN
IF (LNORTH_ll()) THEN
IN=IJE
ELSE
IN=IJE
END IF
!
ISF=IS-1
INF=IN-1
!
IF(LSOUTH_ll()) THEN
PR(:,ISF-1,:) = PSRC(:,IS-2,:) * (0.5+SIGN(0.5,PRVCT(:,IS-2,:))) &
+ PSRC(:,IS-1,:) * (0.5-SIGN(0.5,PRVCT(:,IS-2,:)))
!!$ ELSEIF (NHALO == 1) THEN
ELSE
PR(:,ISF-1,:) = 1./6. * ( (2.*PSRC(:,IS-1,:) + 5.*PSRC(:,IS-2,:) - &
TPHALO2%SOUTH(:,:)) * (0.5+SIGN(0.5,PRVCT(:,IS-2,:))) &
+ (5.*PSRC(:,IS-1,:) + 2.*PSRC(:,IS-2,:) - &
PSRC(:,IS,:)) * (0.5-SIGN(0.5,PRVCT(:,IS-2,:))) )
ENDIF
!
IF(LNORTH_ll()) THEN
PR(:,INF+1,:) = PSRC(:,IN,:) * (0.5+SIGN(0.5,PRVCT(:,IN,:))) &
+ PSRC(:,IN+1,:) * (0.5-SIGN(0.5,PRVCT(:,IN,:)))
!!$ ELSEIF (NHALO == 1) THEN
ELSE
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PR(:,INF+1,:) = 1./6. * ( (2.*PSRC(:,IN+1,:) + 5.*PSRC(:,IN,:) - &
PSRC(:,IN-1,:)) * (0.5+SIGN(0.5,PRVCT(:,IN,:))) &
+ (5.*PSRC(:,IN+1,:) + 2.*PSRC(:,IN,:) - &
TPHALO2%NORTH(:,:)) * (0.5-SIGN(0.5,PRVCT(:,IN,:))) )
ENDIF
!
! USE A 3RD ORDER UPSTREAM SCHEME ELSEWHERE
!
PR(:,ISF:INF,:) = 1./6. * ( (2.*PSRC(:,IS:IN,:) + 5.*PSRC(:,IS-1:IN-1,:) - &
PSRC(:,IS-2:IN-2,:)) * (0.5+SIGN(0.5,PRVCT(:,IS-1:IN-1,:))) &
+ (5.*PSRC(:,IS:IN,:) + 2.*PSRC(:,IS-1:IN-1,:) - &
PSRC(:,IS+1:IN+1,:)) * (0.5-SIGN(0.5,PRVCT(:,IS-1:IN-1,:))) )
!
END SELECT
!
PR = PR * PRVCT
!
END SUBROUTINE ADVEC_3RD_ORDER_VY
!
!-------------------------------------------------------------------------------
!
! ##############################################################
SUBROUTINE ADVEC_3RD_ORDER_MY(HLBCY, PSRC, PRVCT, PR, TPHALO2)
! ##############################################################
!!
!!**** ADVEC_3RD_ORDER_MY - 3rd order upstream fluxes of variable in Y direction
!! Input variable PSRC is on MASS grid, and output PR is on V grid
!!
!! AUTHOR
!! ------
!! C.Lac * CNRM/GMME *
!!
!! MODIFICATIONS
!! -------------
!!
!-------------------------------------------------------------------------------
!
USE MODE_ll
USE MODD_LUNIT
USE MODD_CONF
USE MODD_ARGSLIST_ll, ONLY : HALO2LIST_ll
!
IMPLICIT NONE
!
!* 0.1 Declarations of dummy arguments :
!
CHARACTER (LEN=4), DIMENSION(2), INTENT(IN) :: HLBCY ! Y direction LBC type
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PSRC ! variable on U grid at t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRVCT ! contrav. comp. on MASS GRID
!
! output source term
!
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PR
TYPE(HALO2_ll), OPTIONAL, POINTER :: TPHALO2 ! halo2 for the field at t
!
!* 0.2 Declarations of local variables :
!
INTEGER :: IIB,IJB ! Begining useful area in x,y,z directions
INTEGER :: IIE,IJE ! End useful area in x,y,z directions
INTEGER:: IS,IN,ISF,INF ! Coordinate of third order diffusion area
!
INTEGER:: ILUOUT,IRESP ! for prints
!
!-------------------------------------------------------------------------------
!
!* 0.3. COMPUTES THE DOMAIN DIMENSIONS
! ------------------------------
!
CALL GET_INDICE_ll(IIB,IJB,IIE,IJE)
!
!-------------------------------------------------------------------------------
!
!* 0.4. INITIALIZE THE FIELD
! ---------------------
!
PR(:,:,:) = 0.0
!
!-------------------------------------------------------------------------------
!
SELECT CASE ( HLBCY(1) ) ! Y direction LBC type: (1) for left side
!
!* 1.1 CYCLIC CASE IN THE Y DIRECTION:
!
CASE ('CYCL') ! In that case one must have HLBCX(1) == HLBCX(2)
!
!!$ IF(NHALO == 1) THEN
!!$ ELSE
!!$ CALL FMLOOK_ll(CLUOUT0,CLUOUT0,ILUOUT,IRESP)
!!$ WRITE(ILUOUT,*) 'ERROR : 4th order advection in CYCLic case '
!!$ WRITE(ILUOUT,*) 'cannot be used with NHALO=2'
!!$ CALL ABORT
!!$ STOP
!!$ END IF
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!
ISF=IS
INF=IN
!
PR(:,ISF:INF,:) = 1./6. * ( (2.*PSRC(:,IS:IN,:) + 5.*PSRC(:,IS-1:IN-1,:) - &
PSRC(:,IS-2:IN-2,:)) * (0.5+SIGN(0.5,PRVCT(:,IS:IN,:))) &
+ (5.*PSRC(:,IS:IN,:) + 2.*PSRC(:,IS-1:IN-1,:) - &
PSRC(:,IS+1:IN+1,:)) * (0.5-SIGN(0.5,PRVCT(:,IS:IN,:))) )
!
PR(:,ISF-1,:) = 1./6. * ( (2.*PSRC(:,IS-1,:) + 5.*PSRC(:,IS-2,:) - &
TPHALO2%SOUTH(:,:)) * (0.5+SIGN(0.5,PRVCT(:,IS-1,:))) &
+ (5.*PSRC(:,IS-1,:) + 2.*PSRC(:,IS-2,:) - &
PSRC(:,IS,:)) * (0.5-SIGN(0.5,PRVCT(:,IS-1,:))) )
!
PR(:,INF+1,:) = 1./6. * ( (2.*PSRC(:,IN+1,:) + 5.*PSRC(:,IN,:) - &
PSRC(:,IN-1,:)) * (0.5+SIGN(0.5,PRVCT(:,IN+1,:))) &
+ (5.*PSRC(:,IN+1,:) + 2.*PSRC(:,IN,:) - &
TPHALO2%NORTH(:,:)) * (0.5-SIGN(0.5,PRVCT(:,IN+1,:))) )
!
! OPEN, WALL, NEST CASES IN THE Y DIRECTION
!
CASE ('OPEN','WALL','NEST')
!
! USE A FIRST ORDER UPSTREAM SCHEME AT THE PHYSICAL BORDER
!
IF (LSOUTH_ll()) THEN
IS=IJB+1
ELSE
!!$ IF(NHALO == 1) THEN
!!$ ELSE
!!$ IS=IJB
!!$ ENDIF
!!$ IF (LNORTH_ll() .OR. NHALO == 1) THEN
IF (LNORTH_ll()) THEN
IN=IJE
ELSE
IN=IJE
END IF
!
ISF=IS
INF=IN
!
IF(LSOUTH_ll()) THEN
PR(:,ISF-1,:) = PSRC(:,IS-2,:) * (0.5+SIGN(0.5,PRVCT(:,IS-1,:))) &
+ PSRC(:,IS-1,:) * (0.5-SIGN(0.5,PRVCT(:,IS-1,:)))
!!$ ELSEIF (NHALO == 1) THEN
ELSE
PR(:,ISF-1,:) = 1./6. * ( (2.*PSRC(:,IS-1,:) + 5.*PSRC(:,IS-2,:) - &
TPHALO2%SOUTH(:,:)) * (0.5+SIGN(0.5,PRVCT(:,IS-1,:))) &
+ (5.*PSRC(:,IS-1,:) + 2.*PSRC(:,IS-2,:) - &
PSRC(:,IS,:)) * (0.5-SIGN(0.5,PRVCT(:,IS-1,:))) )
END IF
!
IF(LNORTH_ll()) THEN
PR(:,INF+1,:) = PSRC(:,IN,:) * (0.5+SIGN(0.5,PRVCT(:,IN+1,:))) &
+ PSRC(:,IN+1,:) * (0.5-SIGN(0.5,PRVCT(:,IN+1,:)))
!!$ ELSEIF (NHALO == 1) THEN
ELSE
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PR(:,INF+1,:) = 1./6. * ( (2.*PSRC(:,IN+1,:) + 5.*PSRC(:,IN,:) - &
PSRC(:,IN-1,:)) * (0.5+SIGN(0.5,PRVCT(:,IN+1,:))) &
+ (5.*PSRC(:,IN+1,:) + 2.*PSRC(:,IN,:) - &
TPHALO2%NORTH(:,:)) * (0.5-SIGN(0.5,PRVCT(:,IN+1,:))) )
END IF
!
! USE A THIRD ORDER UPSTREAM SCHEME ELSEWHERE
!
PR(:,ISF:INF,:) = 1./6. * ( (2.*PSRC(:,IS:IN,:) + 5.*PSRC(:,IS-1:IN-1,:) - &
PSRC(:,IS-2:IN-2,:)) * (0.5+SIGN(0.5,PRVCT(:,IS:IN,:))) &
+ (5.*PSRC(:,IS:IN,:) + 2.*PSRC(:,IS-1:IN-1,:) - &
PSRC(:,IS+1:IN+1,:)) * (0.5-SIGN(0.5,PRVCT(:,IS:IN,:))) )
!
END SELECT
!
PR = PR * PRVCT
!
END SUBROUTINE ADVEC_3RD_ORDER_MY
!
!-------------------------------------------------------------------------------
!
! #######################################
FUNCTION UP3_WZ(PSRC, PRWCT) RESULT(PR)
! #######################################
!!
!!**** UP3_WZ - upstream fluxes of W in Z direction
!! input variable PSRC is on W grid, and output PR is on MASS grid
!!
!! AUTHOR
!! ------
!! C.Lac * CNRM/GMME *
!!
!! MODIFICATIONS
!! -------------
!!
!-------------------------------------------------------------------------------
!
USE MODE_ll
USE MODD_CONF
USE MODD_PARAMETERS,ONLY: JPVEXT
!
IMPLICIT NONE
!
!* 0.1 Declarations of dummy arguments :
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PSRC ! variable on W grid at t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRWCT ! contrav. comp. on MASS GRID
!
! output source term
!
REAL, DIMENSION(SIZE(PSRC,1),SIZE(PSRC,2),SIZE(PSRC,3)) :: PR
!
!* 0.2 Declarations of local variables :
!
INTEGER :: IKB ! Begining useful area in x,y,z directions
INTEGER :: IKE ! End useful area in x,y,z directions
!
!-------------------------------------------------------------------------------
!
!* 0.3. COMPUTES THE DOMAIN DIMENSIONS
! ------------------------------
!
IKB = 1 + JPVEXT
IKE = SIZE(PSRC,3) - JPVEXT
!
!-------------------------------------------------------------------------------
!
! upstream flux on mass points
!
PR(:,:,IKB:IKE-1) = 1./6. * ( (2.*PSRC(:,:,IKB+1:IKE) + 5.*PSRC(:,:,IKB:IKE-1)-&
PSRC(:,:,IKB-1:IKE-2)) * (0.5+SIGN(0.5,PRWCT(:,:,IKB:IKE-1))) &
+ (5.*PSRC(:,:,IKB+1:IKE) + 2.*PSRC(:,:,IKB:IKE-1)-&
PSRC(:,:,IKB+2:IKE+1)) * (0.5-SIGN(0.5,PRWCT(:,:,IKB:IKE-1))) )
!
PR(:,:,IKB-1) = PSRC(:,:,IKB-1) * (0.5+SIGN(0.5,PRWCT(:,:,IKB-1))) &
+ PSRC(:,:,IKB ) * (0.5-SIGN(0.5,PRWCT(:,:,IKB-1)))
PR(:,:,IKE ) = PSRC(:,:,IKE ) * (0.5+SIGN(0.5,PRWCT(:,:,IKE ))) &
+ PSRC(:,:,IKE+1) * (0.5-SIGN(0.5,PRWCT(:,:,IKE )))
PR(:,:,IKE+1) = -999.
!
PR = PR * PRWCT
!
END FUNCTION UP3_WZ
!
!-------------------------------------------------------------------------------
!
! #######################################
FUNCTION UP3_MZ(PSRC, PRWCT) RESULT(PR)
! #######################################
!!
!!**** UP3_MZ - upstream fluxes of variable in Z direction
!! input variable PSRC is on MASS grid, and output PR is on W grid
!!
!! AUTHOR
!! ------
!! C.Lac * CNRM/GMME *
!!
!! MODIFICATIONS
!! -------------
!!
!-------------------------------------------------------------------------------
!
USE MODE_ll
USE MODD_CONF
USE MODD_PARAMETERS,ONLY: JPVEXT
!
IMPLICIT NONE
!
!* 0.1 Declarations of dummy arguments :
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PSRC ! variable on MASS grid at t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRWCT ! contrav. comp. on W grid
!
! output source term
!
REAL, DIMENSION(SIZE(PSRC,1),SIZE(PSRC,2),SIZE(PSRC,3)) :: PR
!
!* 0.2 Declarations of local variables :
!
INTEGER :: IKB ! Begining useful area in x,y,z directions
INTEGER :: IKE ! End useful area in x,y,z directions
!
!-------------------------------------------------------------------------------
!
!* 0.3. COMPUTES THE DOMAIN DIMENSIONS
! ------------------------------
!
IKB = 1 + JPVEXT
IKE = SIZE(PSRC,3) - JPVEXT
!
!-------------------------------------------------------------------------------
!
! upstream flux on mass points
!
PR(:,:,IKB+1:IKE) = 1./6. * ( (2.*PSRC(:,:,IKB+1:IKE) + 5.*PSRC(:,:,IKB:IKE-1)-&
PSRC(:,:,IKB-1:IKE-2)) * (0.5+SIGN(0.5,PRWCT(:,:,IKB+1:IKE))) &
+ (5.*PSRC(:,:,IKB+1:IKE) + 2.*PSRC(:,:,IKB:IKE-1)-&
PSRC(:,:,IKB+2:IKE+1)) * (0.5-SIGN(0.5,PRWCT(:,:,IKB+1:IKE))) )
!
PR(:,:,IKB ) = PSRC(:,:,IKB-1) * (0.5+SIGN(0.5,PRWCT(:,:,IKB ))) &
+ PSRC(:,:,IKB ) * (0.5-SIGN(0.5,PRWCT(:,:,IKB )))
PR(:,:,IKE+1) = PSRC(:,:,IKE ) * (0.5+SIGN(0.5,PRWCT(:,:,IKE+1))) &
+ PSRC(:,:,IKE+1) * (0.5-SIGN(0.5,PRWCT(:,:,IKE+1)))
PR(:,:,IKB-1) = -999.
!
PR = PR * PRWCT
!
END FUNCTION UP3_MZ