The MAST-edge centred lumped scheme for the flow simulation in variably saturated heterogeneous porous media

DOI10.1016/j.jcp.2011.10.012zbMath1408.76490OpenAlexW1963726309MaRDI QIDQ422957

Tullio Tucciarelli, Costanza Aricò, Marco Sinagra

Publication date: 18 May 2012

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10447/64523

zbMATH Keywords

mass conservationanalytical solutionfinite elementunstructured meshnumerical modellumped schemevariably saturated porous medium

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (3)

A quadrature-based scheme for numerical solutions to Kirchhoff transformed Richards' equation ⋮ A new solver for incompressible non-isothermal flows in natural and mixed convection over unstructured grids ⋮ A new numerical \textit{mesoscopic scale} one-domain approach solver for free fluid/porous medium interaction

Cites Work

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• The MAST FV/FE scheme for the simulation of two-dimensional thermohaline processes in variable-density saturated porous media
• The continuous Galerkin method is locally conservative
• ADER schemes on adaptive triangular meshes for scalar conservation laws
• Numerical reliability for mixed methods applied to flow problems in porous media
• Application of nonconforming finite elements to solving advection—diffusion problems
• A new mass lumping scheme for the mixed hybrid finite element method
• A technique of upstream type applied to a linear nonconforming finite element approximation of convective diffusion equations
• Two-Dimensional Exponential Fitting and Applications to Drift-Diffusion Models
• Mixed finite elements and Newton-type linearizations for the solution of Richards' equation
• Monotonicity Considerations for Saturated--Unsaturated Subsurface Flow
• Finite Element Approximation of the Diffusion Operator on Tetrahedra
• CAPILLARY CONDUCTION OF LIQUIDS THROUGH POROUS MEDIUMS
• ConservativeP1 Conforming and Nonconforming Galerkin FEMs: Effective Flux Evaluation via a Nonmixed Method Approach
• The maximum principle violations of the mixed-hybrid finite-element method applied to diffusion equations
• Linear Galerkin vs mixed finite element 2D flow fields

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