ZIB

Treffer pro Seite

Treffer 1 - 1 | 1 Treffer

Alles auswählen Exportieren

Unbekannt

On the Possible Accuracy of TVD Schemes. (1989)

Huamo, Wu

zur Merkliste hinzufügen auf der Merkliste

Details

Publikationsdatum: 2014-02-26

Beschreibung: The paper presents a detailed analysis of the possible accuracy available for TVD schemes in one dimension with emphasis to the semi-discrete 1-D TVD schemes. The analysis shows that the widely accepted statement [1] of degeneration of accuracy at critical points for TVD schemes should be corrected. We have theorem: TVD schemes using flux limiters $ \varphi $ of the form [1], [2] may be second-order accurate at critical points if $ \varphi $ (3) + $ \varphi $(-1) = 2, but cannot be uniformly second-order accurate in the whole neighborhood of critical point. If $ \varphi $(1) = 1, then the TVD schemes are second-order accurate in the region of smooth solutions sufficiently far from the critical points. Two ways are suggested to improve the accuracy. Numerical example is given. {\bf Keywords:} Semi-discrete schemes, TVD, flux limiter, degeneration of accuracy.

Schlagwort(e): ddc:000

Sprache: Englisch

Materialart: reportzib , doc-type:preprint

Format: application/pdf

Bibliothek	Standort	Signatur	Band/Heft/Jahr	Verfügbarkeit

Andere fanden auch interessant ...

OPUS

PDF

Überblick

Treffer 1 - 1 | 1 Treffer