Time-discretization strategies for the numerical solution of the nonlinear Richard's equation

C. Paniconi, A. A. Aldama, Eric F. Wood

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

The transient, nonlinear Richards' equation describing flow in partially saturated porous media is solved numerically using several time-discretization strategies. The aim of the research is to compare the computational efficiency of conventional iterative schemes with several newer non-iterative formulations. The Implicit Factored method in particular appears to be an attractive alternative because of its high accuracy and two-level nature. The performance of the different schemes is evaluated over a range of accuracy levels, using both the standard form of Richards' equation and a modified form with a forcing term added (allowing comparisons with an exact solution). The limitations and advantages of the different time-discretization approaches are discussed.

Original languageEnglish (US)
Title of host publicationComputational Methods in Subsurface Hydrology
EditorsG. Gambolati, A. Rinaldo, C.A. Brebbia, W.G. Gray, G.F. Pinder
PublisherPubl by Springer-Verlag Berlin
Pages161-167
Number of pages7
ISBN (Print)038752701X
StatePublished - Dec 1 1990
EventProceedings of the 8th International Conference on Computational Methods in Water Resources - Venice, Italy
Duration: Jun 11 1990Jun 15 1990

Publication series

NameComputational Methods in Subsurface Hydrology

Other

OtherProceedings of the 8th International Conference on Computational Methods in Water Resources
CityVenice, Italy
Period6/11/906/15/90

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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    Paniconi, C., Aldama, A. A., & Wood, E. F. (1990). Time-discretization strategies for the numerical solution of the nonlinear Richard's equation. In G. Gambolati, A. Rinaldo, C. A. Brebbia, W. G. Gray, & G. F. Pinder (Eds.), Computational Methods in Subsurface Hydrology (pp. 161-167). (Computational Methods in Subsurface Hydrology). Publ by Springer-Verlag Berlin.