An efficient numerical scheme for fully coupled flow and reactive transport in variably saturated porous media including dynamic capillary effects
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2019
- DOI:
- 10.48550/arXiv.1912.06731
- arXiv:
- arXiv:1912.06731
- Bibcode:
- 2019arXiv191206731I
- Keywords:
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- Mathematics - Numerical Analysis
- E-Print:
- 8 pages, 1 figure, paper proceeding from Enumath 2019