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| Report | FZJ-2015-02628 |
; ; ; ;
1993
Zentralinstitut für Angewandte Mathematik
Jülich
Report No.: KFA-ZAM-IB-9301
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.
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