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

DOI10.2298/FIL1820857DzbMath1499.65617MaRDI QIDQ5087112

M. Pušić, M. Dimkić, Boris Pokorni, Milan Dotlić

Publication date: 8 July 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

finite volume methodgroundwater flowmulti-pointnear-well region

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) PDEs in connection with geophysics (35Q86) Finite volume methods for boundary value problems involving PDEs (65N08)

Cites Work

• Unnamed Item
• Unnamed Item
• A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes
• Nonlinear finite volume method with discrete maximum principle for the two-phase flow model
• Finite volume methods for well-driven flows in anisotropic porous media
• The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes
• Second-order accurate finite volume method for well-driven flows
• Sufficient criteria are necessary for monotone control volume methods
• A finite volume scheme with improved well modeling in subsurface flow simulation
• Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle
• Minimal stencil finite volume scheme with the discrete maximum principle
• Finite volume schemes for diffusion equations: Introduction to and review of modern methods
• A Nonlinear Correction FV Scheme for Near-Well Regions
• A new methodology for singularity modelling in flow simulations in reservoir engineering

This page was built for publication: Non-linear multi-point flux approximation in the near-well region