First-order continuation method for steady-state variably saturated groundwater flow modeling

2022/01/13 by Denis Anuprienko, Anuprienko, Denis
Engineering · Environmental Science · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Groundwater flow and contamination studies #Numerical Analysis (math.NA) #Soil and Unsaturated Flow

paper · pdf · doi:10.48550/arxiv.2201.05202

openalex publication_date 2022/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently, the nonlinearity continuation method has been used to numerically solve boundary value problems for steady-state Richards equation. The method can be considered as a predictor-corrector procedure with the simplest form which has been applied to date having a trivial, zeroth-order predictor. In this article, effect of a more sophisticated predictor technique is examined. Numerical experiments are performed with finite volume and mimetic finite difference discretizations on various problems, including real-life examples.

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