A mass-conservative control volume-finite element method for solving Richards' equation in heterogeneous porous media

DOI10.1007/s10543-011-0335-3zbMath1287.76170OpenAlexW1984777640MaRDI QIDQ657889

Ben Cumming, Timothy J. Moroney, Ian W. Turner

Publication date: 10 January 2012

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-011-0335-3

zbMATH Keywords

finite volumeRichards' equationDAE

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (6)

Unnamed Item ⋮ A family of new globally convergent linearization schemes for solving Richards' equation ⋮ Approximate analytical solution for Richards' equation with finite constant water head Dirichlet boundary conditions ⋮ Saturated-unsaturated groundwater modeling using 3D Richards equation with a coordinate transform of nonorthogonal grids ⋮ An adjoint-based a posteriori analysis of numerical approximation of Richards equation ⋮ Numerical methods to simulate moisture dynamics in fibrous sheet

Uses Software

• Gmsh
• SUNDIALS

Cites Work

• SUNDIALS
• Inexact Newton methods and the method of lines for solving Richards' equation in two space dimensions
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• An unstructured mesh cell-centered control volume method for simulating heat and mass transfer in porous media: Application to softwood drying. I: The isotropic model
• An unstructured mesh cell-centered control volume method for simulating heat and mass transfer in porous media: Application to softwood drying. II: The anisotropic model
• A finite volume simulation model for saturated--unsaturated flow and application to Gooburrum, Bundaberg, Queensland, Australia
• A finite volume method based on radial basis functions for two-dimensional nonlinear diffusion equations
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• A Control Volume Finite Element Approach to NAPL Groundwater Contamination
• Unnamed Item
• Unnamed Item

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