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- W1999461763 abstract "This paper is devoted to the study of the one dimensional interfacial coupling of two PDE systems ata given fixed interface, say $x=0$. Each system is posed on a half-space, namely $x0$. As an interfacial model, a coupling condition whose objective is to enforcethe continuity (in a weak sense) of a prescribed variable is generally imposed at $x=0$. We first focus on the coupling of two scalar conservation laws and state an existence resultfor the coupled Riemann problem. Numerical experiments are also proposed.We then consider, both from a theoretical and a numerical point of view,the coupling of two-phase flow models namely a drift-flux model and a two-fluid model.In particular, the link between both models will be addressed using asymptotic expansions." @default.
- W1999461763 created "2016-06-24" @default.
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- W1999461763 date "2010-01-01" @default.
- W1999461763 modified "2023-10-14" @default.
- W1999461763 title "Theoretical and numerical aspects of the interfacial coupling: The scalar Riemann problem and an application to multiphase flows" @default.
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- W1999461763 doi "https://doi.org/10.3934/nhm.2010.5.507" @default.
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