THE INTERFACE COUPLING OF THE GAS DYNAMICS EQUATIONS

被引：22

作者：

Chalons, Christophe ^{[1
]}

Raviart, Pierre-Arnaud ^{[2
]}

Seguin, Nicolas ^{[3
]}

机构：

[1] Univ Paris 07, UMR 7598, Lab Jacques Louis Lions, F-75252 Paris 05, France

[2] CNRS, UMR 7598, Lab Jacques Louis Lions, F-75252 Paris 05, France

[3] Univ Paris 06, UMR 7598, Lab Jacques Louis Lions, F-75252 Paris 05, France

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2008年 / 66卷 / 04期

关键词：

D O I：

10.1090/S0033-569X-08-01087-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：659 / 705

页数：47

共 23 条

[1] Computations of compressible multifluids [J].

Abgrall, R ;

Karni, S .

JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 169 (02) :594-623

[2]

Ambroso A, 2008, MATH COMPUT, V77, P909, DOI 10.1090/S0025-5718-07-02064-9

[3] Extension of interface coupling to general Lagrangian systems [J].

Ambroso, A. ;

Chalons, C. ;

Coquel, F. ;

Godlewski, E. ;

Lagoutiere, F. ;

Raviart, P. -A. ;

Seguin, N. .

NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, 2006, :852-+

[4]

Ambroso A., 2007, INT J FINITE, V4, P1

[5]

Ambroso A., 2005, FINITE VOLUMES COMPL, VIV, P483

[6]

Ambroso A., 2005, P 11 INT M NUCL THER

[7] Existence and uniqueness of entropy solution of scalar conservation laws with a flux function involving discontinuous coefficients [J].

Bachmann, F ;

Vovelle, J .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2006, 31 (03) :371-395

[8] Coupling conditions for gas networks governed by the isothermal Euler equations [J].

Banda, Mapundi K. ;

Herty, Michael ;

Klar, Axel .

NETWORKS AND HETEROGENEOUS MEDIA, 2006, 1 (02) :295-314

[9] Gas flow in pipeline networks [J].

Banda, Mapundi K. ;

Herty, Michael ;

Klar, Axel .

NETWORKS AND HETEROGENEOUS MEDIA, 2006, 1 (01) :41-56

[10]

Boutin B., 2006, THESIS U P M CURIE P, P6

← 1 2 3 →