Analysis of a discretization method for the Richards' equation

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Abstract

A time discretization method for the saturation-based formulation of Richards’ equation is analysed numerically. Depending on the flow regime, diffusion may vanish or blow up, leading to degeneracy in the original nonlinear parabolic problem. The numerical approach is based on an Euler implicit time discretization scheme and includes a regularization step, combined with the Kirchhoff transform. Convergence is shown by obtaining error estimates in terms of the time step and of the regularization parameter.
Original languageEnglish
Title of host publicationAnalysis and Simulation of Multifield Problems (Proceedings International Conference, Stuttgart, Germany, April 8-10, 2002)
EditorsW.L. Wendland, M. Efendiev
Place of PublicationBerlin
PublisherSpringer
Pages171-178
ISBN (Print)3-540-00696-6
DOIs
Publication statusPublished - 2003
Eventconference; Stuttgart; 2002-04-08; 2002-04-10 -
Duration: 8 Apr 200210 Apr 2002

Publication series

NameLecture Notes in Applied and Computational Mechanics
Volume12
ISSN (Print)1613-7736

Conference

Conferenceconference; Stuttgart; 2002-04-08; 2002-04-10
Period8/04/0210/04/02
OtherStuttgart

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