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Interplay Between Diffusion Anisotropy and Mesh Skewness in Hybrid High-Order Schemes Read chapter Read first chapter

2020 | OriginalPaper | Chapter

Robust Newton Solver Based on Variable Switch for a Finite Volume Discretization of Richards Equation

Authors : Sabrina Bassetto, Clément Cancès, Guillaume Enchéry, Quang Huy Tran

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Publisher: Springer International Publishing

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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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previous chapter Model Adaptation of Balance Laws Based on A Posteriori Error Estimates and Surrogate Fluxes
next chapter Acceleration of Newton’s Method Using Nonlinear Jacobi Preconditioning
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Metadata
Title
Robust Newton Solver Based on Variable Switch for a Finite Volume Discretization of Richards Equation
Authors
Sabrina Bassetto
Clément Cancès
Guillaume Enchéry
Quang Huy Tran
Copyright Year
2020
Book
Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Print ISBN: 978-3-030-43650-6

Electronic ISBN: 978-3-030-43651-3

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-43651-3_35

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