MODULE advec_u_up_mod

!--------------------------------------------------------------------------------!
! This file is part of PALM.
!
! PALM is free software: you can redistribute it and/or modify it under the terms
! of the GNU General Public License as published by the Free Software Foundation,
! either version 3 of the License, or (at your option) any later version.
!
! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
! A PARTICULAR PURPOSE.  See the GNU General Public License for more details.
!
! You should have received a copy of the GNU General Public License along with
! PALM. If not, see <http://www.gnu.org/licenses/>.
!
! Copyright 1997-2012  Leibniz University Hannover
!--------------------------------------------------------------------------------!
!
! Current revisions:
! -----------------
! 
!
! Former revisions:
! -----------------
! $Id: advec_u_up.f90 1037 2012-10-22 14:10:22Z witha $
!
! 1036 2012-10-22 13:43:42Z raasch
! code put under GPL (PALM 3.9)
!
! 106 2007-08-16 14:30:26Z raasch
! i loop is starting from nxlu (needed for non-cyclic boundary conditions)
!
! 75 2007-03-22 09:54:05Z raasch
! uxrp eliminated
!
! RCS Log replace by Id keyword, revision history cleaned up
!
! Revision 1.12  2006/02/23 09:45:04  raasch
! nzb_2d replaced by nzb_u_inner
!
! Revision 1.1  1997/08/29 08:55:25  raasch
! Initial revision
!
!
! Description:
! ------------
! Advection term for the u velocity-component using upstream scheme.
! NOTE: vertical advection at k=1 still has wrong grid spacing for w>0!
!       The same problem occurs for all topography boundaries!
!------------------------------------------------------------------------------!

    PRIVATE
    PUBLIC advec_u_up

    INTERFACE advec_u_up
       MODULE PROCEDURE advec_u_up
       MODULE PROCEDURE advec_u_up_ij
    END INTERFACE advec_u_up

 CONTAINS


!------------------------------------------------------------------------------!
! Call for all grid points
!------------------------------------------------------------------------------!
    SUBROUTINE advec_u_up

       USE arrays_3d
       USE control_parameters
       USE grid_variables
       USE indices

       IMPLICIT NONE

       INTEGER ::  i, j, k

       REAL ::  ukomp, vkomp, wkomp


       DO  i = nxlu, nxr
          DO  j = nys, nyn
             DO  k = nzb_u_inner(j,i)+1, nzt
!
!--             x-direction
                ukomp = u(k,j,i) - u_gtrans
                IF ( ukomp > 0.0 )  THEN
                   tend(k,j,i) = tend(k,j,i) - ukomp * &
                                         ( u(k,j,i) - u(k,j,i-1) ) * ddx
                ELSE
                   tend(k,j,i) = tend(k,j,i) - ukomp * &
                                          ( u(k,j,i+1) - u(k,j,i) ) * ddx
                ENDIF
!
!--             y-direction
                vkomp = 0.25 * ( v(k,j,i)   + v(k,j+1,i) + &
                                 v(k,j,i-1) + v(k,j+1,i-1) ) - v_gtrans
                IF ( vkomp > 0.0 )  THEN
                   tend(k,j,i) = tend(k,j,i) - vkomp * &
                                         ( u(k,j,i) - u(k,j-1,i) ) * ddy
                ELSE
                   tend(k,j,i) = tend(k,j,i) - vkomp * &
                                         ( u(k,j+1,i) - u(k,j,i) ) * ddy
                ENDIF
!
!--             z-direction
                wkomp = 0.25 * ( w(k,j,i)   + w(k-1,j,i) + &
                                 w(k,j,i-1) + w(k-1,j,i-1) )
                IF ( wkomp > 0.0 )  THEN
                   tend(k,j,i) = tend(k,j,i) - wkomp * &
                                         ( u(k,j,i) - u(k-1,j,i) ) * ddzu(k)
                ELSE
                   tend(k,j,i) = tend(k,j,i) - wkomp * &
                                         ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1)
                ENDIF

             ENDDO
          ENDDO
       ENDDO

    END SUBROUTINE advec_u_up


!------------------------------------------------------------------------------!
! Call for grid point i,j
!------------------------------------------------------------------------------!
    SUBROUTINE advec_u_up_ij( i, j )

       USE arrays_3d
       USE control_parameters
       USE grid_variables
       USE indices

       IMPLICIT NONE

       INTEGER ::  i, j, k

       REAL ::  ukomp, vkomp, wkomp


       DO  k = nzb_u_inner(j,i)+1, nzt
!
!--       x-direction
          ukomp = u(k,j,i) - u_gtrans
          IF ( ukomp > 0.0 )  THEN
             tend(k,j,i) = tend(k,j,i) - ukomp * &
                                         ( u(k,j,i) - u(k,j,i-1) ) * ddx
          ELSE
             tend(k,j,i) = tend(k,j,i) - ukomp * &
                                         ( u(k,j,i+1) - u(k,j,i) ) * ddx
          ENDIF
!
!--       y-direction
          vkomp = 0.25 * ( v(k,j,i) + v(k,j+1,i) + v(k,j,i-1) + v(k,j+1,i-1) &
                         ) - v_gtrans
          IF ( vkomp > 0.0 )  THEN
             tend(k,j,i) = tend(k,j,i) - vkomp * &
                                         ( u(k,j,i) - u(k,j-1,i) ) * ddy
          ELSE
             tend(k,j,i) = tend(k,j,i) - vkomp * &
                                         ( u(k,j+1,i) - u(k,j,i) ) * ddy
          ENDIF
!
!--       z-direction
          wkomp = 0.25 * ( w(k,j,i) + w(k-1,j,i) + w(k,j,i-1) + w(k-1,j,i-1) )
          IF ( wkomp > 0.0 )  THEN
             tend(k,j,i) = tend(k,j,i) - wkomp * &
                                         ( u(k,j,i) - u(k-1,j,i) ) * ddzu(k)
          ELSE
             tend(k,j,i) = tend(k,j,i) - wkomp * &
                                         ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1)
          ENDIF

       ENDDO

    END SUBROUTINE advec_u_up_ij

 END MODULE advec_u_up_mod