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An Efficient Numerical Scheme for Fully Coupled Flow and Reactive Transport in Variably Saturated Porous Media Including Dynamic Capillary Effects

Book Contribution - Book Chapter Conference Contribution

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.
Book: Numerical Mathematics and Advanced Applications ENUMATH 2019
Series: Lecture Notes in Computational Science and Engineering
Pages: 563 - 571
ISBN:9783030558734
Publication year:2021
Accessibility:Closed