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@TECHREPORT{Vereecken:189465,
      author       = {Vereecken, H. and Lindenmayr, G. and Kuhr, A. and Welte, D.
                      H. and Basermann, A.},
      title        = {{N}umerical {M}odelling of {F}ield {S}cale {T}ransport in
                      {H}eterogeneous {V}ariably {S}aturated {P}orous {M}edia},
      number       = {KFA-ZAM-IB-9301},
      address      = {Jülich},
      publisher    = {Zentralinstitut für Angewandte Mathematik},
      reportid     = {FZJ-2015-02628, KFA-ZAM-IB-9301},
      pages        = {29 p.},
      year         = {1993},
      abstract     = {Many of the current environmental problems are caused by
                      the transport of potentially hazardous agricultural and
                      industrial chemicals in soil and aquifers. Most of these
                      chemicals are introduced at the soil-air interface from
                      where they are either directly transported to the underlying
                      aquifer and drainage system or interact with the
                      soil-aquifer matrix and biomass.A common approach to analyse
                      transport and chemical processes in heterogeneous 3D porous
                      media has been to model water and reactive solute transport
                      using a combination of stochastic partial differential
                      equations (transport) and nonlinear algebraic equations
                      (reactions). Accounting for the heterogeneity of the porous
                      medium, results in grid sizes of more than 10E+6 nodal
                      points. In combination with the strong nonlinearity of the
                      partial differential equations such problems can only be
                      handled on vector or parallel computer systems using
                      appropriate numerical solution techniques for the linearized
                      set of equations. In our case, these equations are obtained
                      by applying Galerkin's finite element method to the water
                      and solute transport equation. In this paper, we will
                      address numerical solution techniques appropriate for the
                      linearized set of equations and their efficient
                      implementation on the CRAY X-MP/416, the CRAY Y-MP8/832 and
                      the INTEL iPSC/860. The need for modelling an integrated
                      soil-aquifer-plant-atmosphere system will be illustrated by
                      an ongoing KFA-project.},
      cin          = {ZAM / JSC / IBG-3},
      cid          = {I:(DE-Juel1)VDB62 / I:(DE-Juel1)JSC-20090406 /
                      I:(DE-Juel1)IBG-3-20101118},
      pnm          = {899 - ohne Topic (POF2-899)},
      pid          = {G:(DE-HGF)POF2-899},
      typ          = {PUB:(DE-HGF)29},
      url          = {https://juser.fz-juelich.de/record/189465},
}