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Title: | An adaptive solution strategy for Richards' equation | Authors: | Stokke, Jakob S. MITRA, Koondanibha STORVIK, Erlend BOTH, Jakub Radu, Florin A. |
Issue Date: | 2023 | Publisher: | PERGAMON-ELSEVIER SCIENCE LTD | Source: | COMPUTERS & MATHEMATICS WITH APPLICATIONS, 152 , p. 155 -167 | Abstract: | Flow in variably saturated porous media is typically modeled by the Richards equation, a nonlinear elliptic parabolic equation which is notoriously challenging to solve numerically. In this paper, we propose a robust and fast iterative solver for Richards' equation. The solver relies on an adaptive switching algorithm, based on rigorously derived a posteriori indicators, between two linearization methods: L-scheme and Newton. Although a combined L-scheme/Newton strategy was introduced previously in [1], here, for the first time we propose a reliable and robust criteria for switching between these schemes. The performance of the solver, which can be in principle applied to any spatial discretization and linearization methods, is illustrated through several numerical examples. | Notes: | Radu, FA (corresponding author), Univ Bergen, Ctr Modeling Coupled Subsurface Dynam, Dept Math, Bergen, Norway. florin.radu@uib.no |
Keywords: | Richards equation;Linearisation schemes;Newton methodL-scheme;Flow in porous media;Finite elements | Document URI: | http://hdl.handle.net/1942/41884 | ISSN: | 0898-1221 | e-ISSN: | 1873-7668 | DOI: | 10.1016/j.camwa.2023.10.020 | ISI #: | 001094493100001 | Rights: | 2023 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). | Category: | A1 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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