Analysis of a discretization method for the Richards' equation

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Samenvatting

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.
Originele taal-2Engels
TitelAnalysis and Simulation of Multifield Problems (Proceedings International Conference, Stuttgart, Germany, April 8-10, 2002)
RedacteurenW.L. Wendland, M. Efendiev
Plaats van productieBerlin
UitgeverijSpringer
Pagina's171-178
ISBN van geprinte versie3-540-00696-6
DOI's
StatusGepubliceerd - 2003
Evenementconference; Stuttgart; 2002-04-08; 2002-04-10 -
Duur: 8 apr 200210 apr 2002

Publicatie series

NaamLecture Notes in Applied and Computational Mechanics
Volume12
ISSN van geprinte versie1613-7736

Congres

Congresconference; Stuttgart; 2002-04-08; 2002-04-10
Periode8/04/0210/04/02
AnderStuttgart

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