A Nonlinear Correction FV Scheme for Near-Well Regions

DOI10.1007/978-3-319-57394-6_53zbMath1365.76160OpenAlexW2620360172MaRDI QIDQ5271156

Vasiliy Kramarenko, Yuri V. Vassilevski, Kirill D. Nikitin

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_53

zbMATH Keywords

finite volume methodnonlinear correctionimproved well modelling

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite volume methods applied to problems in fluid mechanics (76M12) 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 (1)

Non-linear multi-point flux approximation in the near-well region

Cites Work

• Nonlinear finite volume method with discrete maximum principle for the two-phase flow model
• A monotone nonlinear finite volume method for diffusion equations and multiphase flows
• Second-order accurate finite volume method for well-driven flows
• An application of Green's function technique for computing well inflow without radial flow assumption
• Two-phase water flooding simulations on dynamic adaptive octree grids with two-point nonlinear fluxes
• A Finite Volume Scheme with the Discrete Maximum Principle for Diffusion Equations on Polyhedral Meshes
• A monotone nonlinear finite volume method for diffusion equations on conformal polyhedral meshes
• Minimal stencil finite volume scheme with the discrete maximum principle
• Finite volume schemes for diffusion equations: Introduction to and review of modern methods
• A new methodology for singularity modelling in flow simulations in reservoir engineering

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