Projection-based monotone embedded discrete fracture method for flow and transport in porous media

DOI10.1016/J.CAM.2021.113484zbMath1464.76074OpenAlexW3129847933MaRDI QIDQ2020518

Kirill D. Nikitin, Ruslan M. Yanbarisov

Publication date: 23 April 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2021.113484

zbMATH Keywords

discrete maximum principlefracture modelingnonlinear finite volume schemecell-to-fracture flux

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12)

Related Items (3)

A generic workflow of projection-based embedded discrete fracture model for flow simulation in porous media ⋮ A novel projection-based embedded discrete fracture model (pEDFM) for anisotropic two-phase flow simulation using hybrid of two-point flux approximation and mimetic finite difference (TPFA-MFD) methods ⋮ Numerical modeling of groundwater flow in fractured porous media based on the DFM approach

Cites Work

• Nonlinear finite volume method with discrete maximum principle for the two-phase flow model
• A hierarchical fracture model for the iterative multiscale finite volume method
• Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes
• On maximum principles for monotone matrices
• Cell-centered nonlinear finite-volume methods for the heterogeneous anisotropic diffusion problem
• Monotone embedded discrete fractures method for flows in porous media
• A Finite Volume Scheme with the Discrete Maximum Principle for Diffusion Equations on Polyhedral Meshes
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• A compact multipoint flux approximation method with improved robustness
• A monotone nonlinear finite volume method for diffusion equations on conformal polyhedral meshes
• Minimal stencil finite volume scheme with the discrete maximum principle

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