SOLUTION OF 2-DIMENSIONAL RIEMANN PROBLEMS OF GAS-DYNAMICS BY POSITIVE SCHEMES

Authors
LAX PD LIU XD
Citation
Pd. Lax et Xd. Liu, SOLUTION OF 2-DIMENSIONAL RIEMANN PROBLEMS OF GAS-DYNAMICS BY POSITIVE SCHEMES, SIAM journal on scientific computing, 19(2), 1998, pp. 319-340
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on scientific computing → ACNP
ISSN journal
10648275
Volume
19
Issue
2
Year of publication
1998
Pages
319 - 340
Database
ISI
SICI code
1064-8275(1998)19:2<319:SO2RPO>2.0.ZU;2-V
Abstract
The positivity principle and positive schemes to solve multidimensiona l hyperbolic systems of conservation laws have been introduced in [X.- D. Liu and P.D. Lax, J. Fluid Dynam., 5 (1996), pp. 133-156. Some nume rical experiments presented there show how well the method works. In t his paper we use positive schemes to solve Riemann problems for two-di mensional gas dynamics.