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1 TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk

1 2007

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Simulation of water flow in double-porosity soils on unstructured grids with the finite-volume method

Szymkiewicz A., Burzyński K.

TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk

2007

Vol. 11, No 4

397-410

Double-porosity soils consist of two interacting porous systems corresponding to weakly conductive aggregates and highly conductive inter-aggregate regions. The flow of water in such media can be described with a two-scale model obtained by homogenization. The model consists of a single macroscopic equation for the flow in the highly conductive porous system coupled with a number of micro-scale equations for the flow in the weakly conductive aggregates. In this paper we present a numerical algorithm to solve the resulting system of equations for the case of macroscopically two-dimensional flow. It is based on the finite volume approach for unstructured grid of triangular cells. Special attention is paid to the coupling of the micro- and macro-scale equations. An exemplary calculation is presented, concerning infiltration and redistribution of water in a hill-slope of double-porosity structure with cubic aggregates.