Journal
JOURNAL OF HYDROLOGY
Volume 480, Issue -, Pages 69-84Publisher
ELSEVIER
DOI: 10.1016/j.jhydrol.2012.12.008
Keywords
Richards equation; Variably saturated flow; Finite volume method; Grid sensitivity; Time step sensitivity; Mualem-van Genuchten soil model
Funding
- Spanish Ministry of Science and Technology [CGL2008-05153-C02-02]
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Richards equation is a non-linear partial differential equation that describes flow in porous media. To solve it, numerical methods that need to be conservative, stable, accurate and efficient, are required. Finite volume methods have not been reported as widely as finite difference or finite element methods. This work is focused on providing numerical results and analysis of several finite volume schemes in one dimension. The formulation of time discretization schemes is revisited, a stability analysis is performed, and analytical and experimental benchmakrs are provided. (C) 2012 Elsevier B.V. All rights reserved.
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