An oscillation-free high order TVD/CBC-based upwind scheme for convection discretization

DOI10.1007/s11075-011-9474-5zbMath1269.65082OpenAlexW2099724088MaRDI QIDQ662889

Hong Li, Yang Liu, Yong-Jun Jian, Wei Gao

Publication date: 13 February 2012

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-011-9474-5

zbMATH Keywords

numerical resultsfinite volumeinviscid Burgers equationviscous Burgers equationHigh-orderconvection boundedness criterionConvection equationlinear adrection equationNormalized-variableoscillation-freetotal variational diminishing

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for first-order hyperbolic systems (35L45) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items

Numerical simulation of three-fluid Rayleigh-Taylor instability using an enhanced volume-of-fluid (VOF) model: new benchmark solutions, A bounded scheme based on Bézier curves for convection-dominated transport problems, Numerical error control for second-order explicit TVD scheme with limiters in advection simulation, A high resolution equi-gradient scheme for convective flows

Uses Software

• HE-E1GODF

Cites Work

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