Convergence of the Two-Point Upstream Weighting Scheme

DOI10.2307/2938705zbMath0734.65076OpenAlexW4247543385MaRDI QIDQ3361839

Marie-Claude Viallon

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2938705

zbMATH Keywords

porous mediumentropy solutionsecond-order finite difference schemeConvergencescalar hyperbolic conservation lawsNumerical testsincompressible two-phase flowtwo-point upstream weighting schemeVan Leer explicit scheme

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Finite difference methods applied to problems in fluid mechanics (76M20) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (1)

Convergence of a second-order scheme for non-local conservation laws

Cites Work

• Unnamed Item
• High Resolution Schemes and the Entropy Condition
• On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
• Convergence of Generalized MUSCL Schemes
• High-Order Schemes and Entropy Condition for Nonlinear Hyperbolic Systems of Conservation Laws
• Convergence of an accurate scheme for first order quasi linear equations
• Application of Oscillation Matrices to Diffusion‐Convection Equations

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