Conference Papers Year : 2020

Robust Newton solver based on variable switch for a finite volume discretization of Richards equation

Sabrina Bassetto
Guillaume Enchéry
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Quang Huy Tran

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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Dates and versions

hal-02464945 , version 1 (03-02-2020)

Identifiers

  • HAL Id : hal-02464945 , version 1

Cite

Sabrina Bassetto, Clément Cancès, Guillaume Enchéry, Quang Huy Tran. Robust Newton solver based on variable switch for a finite volume discretization of Richards equation. Finite Volumes for Complex Applications IX, Jun 2020, Bergen, Norway. ⟨hal-02464945⟩
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