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An efficient numerical scheme for fully coupled flow and reactive transport in variably saturated porous media including dynamic capillary effects

Published 13 Dec 2019 in math.NA and cs.NA | (1912.06731v2)

Abstract: In this paper, we study a model for the transport of an external component, e.g., a surfactant, in variably saturated porous media. We discretize the model in time and space by combining a backward Euler method with the linear Galerkin finite elements. The Newton method and the L-Scheme are employed for the linearization and the performance of these schemes is studied numerically. A special focus is set on the effects of dynamic capillarity on the transport equation.

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