Nonlinear Finite-Volume Scheme for Complex Flow Processes on Corner-Point Grids

DOI10.1007/978-3-319-57394-6_44zbMath1365.76170OpenAlexW2617921417MaRDI QIDQ5271144

Martin Schneider, Dennis Gläser, Rainer Helmig, Bernd Flemisch

Publication date: 4 July 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57394-6_44

zbMATH Keywords

finite-volume methodmonotone discretizationchallenging gridscorner-point grid

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Navier-Stokes equations (35Q30) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (3)

Convergence of nonlinear finite volume schemes for heterogeneous anisotropic diffusion on general meshes ⋮ Unified approach to discretization of flow in fractured porous media ⋮ Monotone nonlinear finite-volume method for challenging grids

Uses Software

• DuMuX
• ISTL

Cites Work

• Monotone finite volume schemes for diffusion equations on polygonal meshes
• A nine-point finite volume scheme for the simulation of diffusion in heterogeneous media
• A benchmark study on problems related to CO\(_{2}\) storage in geologic formations. Summary and discussion of the results
• Geological modeling and simulation of CO\(_{2}\) injection in the Johansen formation
• A monotone nonlinear finite volume method for diffusion equations on conformal polyhedral meshes
• A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes

This page was built for publication: Nonlinear Finite-Volume Scheme for Complex Flow Processes on Corner-Point Grids