High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws

High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws

The technique of obtaining high resolution, second order, oscillation free (TVD), explicit scalar difference schemes, by the addition of a limited antidiffusive flux to a first order scheme is explored and bounds derived for such limiters. A class of limiters is presented which includes a very compr...

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Veröffentlicht in:SIAM journal on numerical analysis 1984-10, Vol.21 (5), p.995-1011
1. Verfasser: Sweby, P. K.
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Approximation
Coefficients
Conservation laws
Entropy
Exact sciences and technology
High resolution
Inequality
Mathematical functions
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Scalars
Sciences and techniques of general use
Transfer functions
TVD schemes
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Beschreibung
Zusammenfassung:The technique of obtaining high resolution, second order, oscillation free (TVD), explicit scalar difference schemes, by the addition of a limited antidiffusive flux to a first order scheme is explored and bounds derived for such limiters. A class of limiters is presented which includes a very compressive limiter due to Roe, and various limiters are compared both theoretically and numerically.
ISSN:0036-1429
1095-7170
DOI:10.1137/0721062