Author(s)

H.J.G. Diersch

Abstract

A shock-capturing technique is introduced for a finite element approach of the governing balance equations of flow, contaminant mass and heat transport in vari- ably saturated porous media. It represents a nonlinear method which depends itself on the numerical solution and is characterized by an additional discontinuity-cap- turing term controlling the derivatives in the direction of the solution gradient. The technique is embedded in a predictor-corrector scheme of first and second order in time to handle the solution implicitly. The impact of the shock-capturing technique is studied for selected applications. 1 Introduction In the numerical modeling of multidimensional transport problems upwind techniques such as SUPG (stre

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