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Convergence of Godunov type schemes

โœ Scribed by H. Yang


Book ID
103926697
Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
295 KB
Volume
9
Category
Article
ISSN
0893-9659

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โœฆ Synopsis


ln this note, we show that some standard Godunov type schemes cannot be both high-order accurate and convergent for every Cauchy problem of every scalar hyperbolic conservation law.


๐Ÿ“œ SIMILAR VOLUMES


The Convergence Rate of Godunov Type Sch
โœ Haim Nessyahu, Eitan Tadmor and Tamir Tassa ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Society for Industrial and Applied Mathematics ๐ŸŒ English โš– 369 KB
Projection Dynamics in Godunov-Type Sche
โœ Kun Xu; Jishan Hu ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 199 KB

There are two stages in the first-order Godunov-type schemes to update flow variables: the gas evolution stage for the numerical fluxes across a cell interface and the projection stage for the reconstruction of constant state inside each cell. Ideally, the evolution stage should be based on the exac