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Efficient high-resolution relaxation schemes for hyperbolic systems of conservation laws

✍ Scribed by Ritesh Kumar; M. K. Kadalbajoo

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
527 KB
Volume
55
Category
Article
ISSN
0271-2091

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πŸ“œ SIMILAR VOLUMES

High Resolution Schemes for Hyperbolic C
High Resolution Schemes for Hyperbolic Conservation Laws
✍ Ami Harten πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 604 KB

A class of new explicit second order accurate finite difference schemes for the computation of weak solutions of hyperbolic conwhere F is some other function called entropy flux. servation laws is presented. These highly nonlinear schemes are Admissible weak solutions of (1.1) satisfy, in the weak

FULLY DISCRETE HIGH-RESOLUTION SCHEMES F
FULLY DISCRETE HIGH-RESOLUTION SCHEMES FOR HYPERBOLIC CONSERVATION LAWS
✍ J. SHI; E. F. TORO πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 597 KB

The present paper is a sequel to two previous papers in which rigorous, up to fourth-order, fully discrete (FD) upwind TVD schemes have been presented. In this paper we discuss in detail the extension of these schemes to solutions of non-linear hyperbolic systems. The performance of the schemes is a

Introduction to β€œHigh Resolution Schemes
Introduction to β€œHigh Resolution Schemes for Hyperbolic Conservation Laws”
✍ Peter Lax πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 113 KB

This paper was a landmark; it introduced a new design main features of such a flow are recognizable in the numerical results presented. Subsequently, much effort was de-principle-total variation diminishing schemes-that led, in Harten's hands, and subsequently in the hands of others, voted by others

Numerical Schemes for Hyperbolic Conserv
Numerical Schemes for Hyperbolic Conservation Laws with Stiff Relaxation Terms
✍ Shi Jin; C.David Levermore πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 445 KB

was studied by Hsiao and Liu [22] who showed that its solutions exhibit a long-time behavior governed by Hyperbolic systems often have relaxation terms that give them a partially conservative form and that lead to a long-time behavior governed by reduced systems that are parabolic in nature. In this