A comment on the computation of non-conservative products

Journal of Computational Physics

Volumn 229, Issue 8, 2010, Pages 2759-2763

  Abgrall, Rémi ^a   Karni, Smadar ^b  

^a UNIVERSITÉ BORDEAUX 1   (France)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL ISSUES; CONSERVATIVE SCHEMES; EULER'S EQUATION; NON-CONSERVATIVE HYPERBOLIC SYSTEMS; PATH CONSERVATIVES; PERFECT GAS;

COMPUTATIONAL METHODS;

EID: 78649322822     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.12.015     Document Type: Article

References (5)

1. G. Dal Maso, P. LeFloch, F. Murat, Definition and weak stability of non-conservative products, Journal of Math Pures Application. 74 (1995) 483-548.
2. C. Parés, Numerical methods for non-conservative hyperbolic systems: a theoretical framework, SIAM Journal of Numerical Analysis. 44 (2006) 300-321.
3. M.J. Castro, P. LeFloch, M.L. Muñoz-Ruiz, C. Parés, Why many theories of shock waves are necessary: Convergence error in formally path-consistentschemes, Journal of Computational Physics 227 (17) (2008) 8107-8129.
4. S. Karni, Viscous Shock Profiles and Primitive Formulations, SIAM Journal on Numerical Analysis 29 (1992) 1592-1609.
5. C.D. Munz, On Godunov-Type Schemes for Lagrangian Gas Dynamics, SIAM Journal on Numerical Analysis 31 (1994) 17-42.