Increasing smoothness of solutions to a hyperbolic system on the plane with delay in the boundary conditions.
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Initial-boundary value problem for the discrete Boltzmann equation
S. Kawashima (1988/1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
Interface model coupling via prescribed local flux balance
Annalisa Ambroso, Christophe Chalons, Frédéric Coquel, Thomas Galié (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
This paper deals with the non-conservative coupling of two one-dimensional barotropic Euler systems at an interface at x = 0. The closure pressure laws differ in the domains x < 0 and x > 0, and a Dirac source term concentrated at x = 0 models singular pressure losses. We propose two numerical methods. The first one relies on ghost state reconstructions at the interface while the second is based on a suitable relaxation framework. Both methods satisfy a well-balanced property for stationary...
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