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

Davide Illiano; Iuliu Sorin Pop; Florin Adrian Radu

doi:10.1007/978-3-030-55874-1_55

paper

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

arXiv:1912.06731 · doi:10.1007/978-3-030-55874-1_55

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.

8 pages, 1 figure, paper proceeding from Enumath 2019