Mathematics > Numerical Analysis
[Submitted on 2 Mar 2025
]
Title: Coupled general Riemann problems for the Euler equations
Title: 耦合的广义黎曼问题对于欧拉方程
Abstract: We introduce a novel method for systems of conservation laws coupled at a sharp interface based on generalized Riemann problems. This method yields a piecewise-linear in time approximation of the solution at the interface, thus, descynchronising the solvers for the coupled systems. We apply this framework to a problem of compressible Euler equations coupled via a gas generator and prove its solvability. Finally, we conduct numerical experiments and show that our algorithm performs at correct convergence rates.
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