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• W4298426431 abstract "We study the theoretical and numerical coupling of two hyperbolic systems of conservation laws at a fixed interface. As already proven in the scalar case, the coupling preserves in a weak sense the continuity of the solution at the interface without imposing the overall conservativity of the coupled model. We develop a detailed analysis of the coupling in the linear case. In the nonlinear case, we either use a linearized approach or a coupling method based on the solution of a Riemann problem. We discuss both approaches in the case of the coupling of two fluid models at a material contact discontinuity, the models being the usual gas dynamics equations with different equations of state. We also study the coupling of two-temperature plasma fluid models and illustrate the approach by numerical simulations." @default.
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• W4298426431 date "2005-07-01" @default.
• W4298426431 modified "2023-09-24" @default.
• W4298426431 title "The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: II. The case of systems" @default.
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• W4298426431 doi "https://doi.org/10.1051/m2an:2005029" @default.
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