On numerical dispersion by upwind differencing

DOI10.1016/0168-9274(86)90040-1zbMath0619.65078OpenAlexW2027295576WikidataQ127295942 ScholiaQ127295942MaRDI QIDQ1089755

Bram van Leer

Publication date: 1986

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(86)90040-1

zbMATH Keywords

dispersionCFL numberCourant-Friedrichs-Lewy numberlinear one- dimensional convection equationupwind biased scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for first-order hyperbolic systems (35L45)

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A transport-physics-accurate convection discretization based on first order upwind and the need for a new error assessment strategy

Cites Work

• The numerical simulation of two-dimensional fluid flow with strong shocks
• Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
• A method for reducing dispersion in convective difference schemes
• Difference schemes with best possible truncation error
• On the construction of accurate difference schemes for hyper olic partial differential equations
• On the solution of nonlinear hyperbolic differential equations by finite differences