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      subroutine dlwq42 ( nosys  , notot  , nototp , noseg  , volume ,
     &                    surface, amass  , conc   , deriv  , idt    ,
     &                    ivflag , lun    , owners , mypart )

!     Deltares Software Centre

!>\File
!>           Sets an explicit time step from DERIV.
!>
!>           This routine deviates from dlwq18 in the sense
!>           that the resulting masses are stored in CONC
!>           rather than in AMASS to allow for an implicit step.
!>           DERIV is set to the new diagonal. This procedure
!>           is required for the old ADI solver (nr. 4) and for
!>           the 2 solvers with implicit vertical (nrs. 11 & 12)

!     Created             :    April   1988 by Leo Postma

!     Modified            : 13 Januari 2011 by Leo Postma
!                                           2D arrays, fortran 90 look and feel
!                                           conc of passive substances in mass/m2
!                                           Also equiped with computed volumes
!                                           feature.
!                            4 April   2013 by Leo Postma
!                                           take presence of particle-substances into account

!     Logical unitnumbers : LUN     = number of monitoring file

!     Subroutines called  : none

      use timers

      implicit none

!     Parameters          :
!     type     kind  function         name                      description

      integer   (4), intent(in   ) :: nosys                   !< number of transported substances
      integer   (4), intent(in   ) :: notot                   !< total number of substances
      integer  ( 4), intent(in   ) :: nototp                  !< number of particle substances
      integer   (4), intent(in   ) :: noseg                   !< number of computational volumes
      real      (4), intent(inout) :: volume(noseg )          !< volumes of the segments
      real     ( 4), intent(in   ) :: surface(noseg)          !< horizontal surface area
      real      (4), intent(inout) :: amass (notot ,noseg)    !< masses per substance per volume
      real      (4), intent(inout) :: conc  (notot ,noseg)    !< concentrations per substance per volume
      real      (4), intent(inout) :: deriv (notot ,noseg)    !< derivatives per substance per volume
      integer   (4), intent(in   ) :: idt                     !< integration time step size
      integer   (4), intent(in   ) :: ivflag                  !< if 1 computational volumes
      integer   (4), intent(in   ) :: lun                     !< unit number of the monitoring file
      integer   (4), intent(in   ) :: owners(noseg )          !< ownership array for segments
      integer   (4), intent(in   ) :: mypart                  !< number of the current subdomain

!     local variables

      integer(4)          isys            ! loopcounter substances
      integer(4)          iseg            ! loopcounter computational volumes
      real   (4)          surf            ! the horizontal surface area of the cell
      real   (4)          vol             ! helpvariable for this volume
      integer(4), save :: ivmess          ! number of messages printed
      data       ivmess  /0/
      integer(4), save :: ithandl         ! timer handle
      data       ithandl /0/
      if ( timon ) call timstrt ( "dlwq42", ithandl )

!         loop accross the number of computational volumes for the concentrations

      do iseg = 1, noseg

!         compute volumes if necessary and check for positivity

         if ( ivflag .eq. 1 ) volume(iseg) = amass(1,iseg) + idt*deriv(1,iseg)
         vol = volume(iseg)
         if ( abs(vol) .lt. 1.0e-25 ) then
            if ( ivmess .lt. 25 ) then
               ivmess = ivmess + 1
               write ( lun, 1000 ) iseg  , vol
            elseif ( ivmess .eq. 25 ) then
               ivmess = ivmess + 1
               write ( lun, 1001 )
            endif
            volume (iseg) = 1.0
            vol           = 1.0
         endif

!         transported substances first

         do isys = 1, nosys
            conc (isys,iseg) = amass(isys,iseg) + idt*deriv(isys,iseg)
            deriv(isys,iseg) = vol
         enddo

!         then the passive substances

         if ( notot - nototp .gt. nosys ) then
            surf = surface(iseg)
            do isys = nosys+1, notot - nototp
               amass(isys,iseg) = amass(isys,iseg) + idt*deriv(isys,iseg)
               conc (isys,iseg) = amass(isys,iseg) / surf
               deriv(isys,iseg) = 0.0
            enddo
         endif

      enddo

!        output formats

 1000 format ( 'Volume of segment:', I7, ' is:',
     &          E15.6, ' 1.0 assumed.' )
 1001 format ('25 or more zero volumes , further messages surpressed')

      if ( timon ) call timstop ( ithandl )
      return
      end