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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...
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....
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