The generalized finite volume SUSHI scheme for the discretization of Richards equation

DOI10.1007/s10013-015-0170-yzbMath1348.35093OpenAlexW2262448863MaRDI QIDQ331603

Danielle Hilhorst, Konstantin Brenner, Huy-Cuong Vu-Do

Publication date: 27 October 2016

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-015-0170-y

zbMATH Keywords

finite volume schemeRichards equationSUSHI scheme

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for second-order parabolic equations (35K15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (3)

The generalized finite volume SUSHI scheme for the discretization of the Peaceman model. ⋮ Unnamed Item ⋮ A family of new globally convergent linearization schemes for solving Richards' equation

Cites Work

• A finite volume method on general meshes for a degenerate parabolic convection-reaction-diffusion equation
• The finite volume method for Richards equation
• Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation
• Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
• A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems
• Finite volume schemes for diffusion equations: Introduction to and review of modern methods
• A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS
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