𝔖 Bobbio Scriptorium
✦   LIBER   ✦

FULLY DISCRETE HIGH-RESOLUTION SCHEMES FOR HYPERBOLIC CONSERVATION LAWS

✍ Scribed by J. SHI; E. F. TORO

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
597 KB
Volume
23
Category
Article
ISSN
0271-2091

No coin nor oath required. For personal study only.

✦ Synopsis

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 assessed by solving test problems for the time-dependent Euler equations of gas dynamics in one and two space dimensions. We use exact solutions and experimental data to validate the results.

πŸ“œ SIMILAR VOLUMES

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

On an Essentially Conservative Scheme fo
On an Essentially Conservative Scheme for Hyperbolic Conservation Laws
✍ Bao Xia Jin πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 248 KB

In this paper, a class of essentially conservative scheme are constructed and analyzed. The numerical tests and theoretical analysis show that although these schemes can not be written in the usual conservation form, but the numerical solutions obtained with these schemes can converge, as the mesh s

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