Abstract
We propose an efficient nonlinear solver for the resolution of the Richards equation. It is based on variable switching and is easily implemented thanks to a fictitious variable allowing to describe both the saturation and the pressure. Numerical experiments show that our method enables to use Newton’s method with large time steps, reasonable number of iterations and in regions where the pressure-saturation relationship is given by a graph.
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Bassetto, S., Cancès, C., Enchéry, G., Tran, Q.H. (2020). Robust Newton Solver Based on Variable Switch for a Finite Volume Discretization of Richards Equation. In: Klöfkorn, R., Keilegavlen, E., Radu, F.A., Fuhrmann, J. (eds) Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 2020. Springer Proceedings in Mathematics & Statistics, vol 323. Springer, Cham. https://doi.org/10.1007/978-3-030-43651-3_35
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DOI: https://doi.org/10.1007/978-3-030-43651-3_35
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