Kinetic Approximation of a Boundary Value Problem for Conservation
Denise Aregba-Driollet and Vuk Milisic
We design numerical schemes for systems of conservation laws with boundary
conditions. These schemes are based on relaxation approximations taking the
form of discrete BGK models with kinetic boundary conditions. The resulting
schemes are Riemann solver free and easily extendable to higher order in time
or in space. For scalar equations convergence is proved. We show numerical
examples, including solutions of Euler equations.
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- Denise Aregba-Driollet,
- Vuk Milisic,
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February 6 2002.
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