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Medientyp:
E-Artikel
Titel:
The interface coupling of the gas dynamics equations
Beteiligte:
Chalons, Christophe;
Raviart, Pierre-Arnaud;
Seguin, Nicolas
Erschienen:
American Mathematical Society (AMS), 2008
Erschienen in:
Quarterly of Applied Mathematics, 66 (2008) 4, Seite 659-705
Sprache:
Englisch
DOI:
10.1090/s0033-569x-08-01087-x
ISSN:
0033-569X;
1552-4485
Entstehung:
Anmerkungen:
Beschreibung:
We investigate the one-dimensional coupling of two systems of gas dynamics at a fixed interface. The coupling constraints consist in requiring the continuity of a system of nonconservative variables at the interface. Since we are dealing with hyperbolic systems, weak coupling conditions are proposed. The existence and the uniqueness of the solutions of the coupled Riemann problem are investigated. Several examples of solutions satisfying the weak coupling conditions are contructed, either continuous or discontinuous with respect to the nonconservative variables at the interface.