Kinetic approximation of a boundary value problem for conservation laws

被引：0
|
作者：
Denise Aregba-Driollet
Vuk Milišić
机构：
[1] Université Bordeaux 1,
[2] Modelling and Scientific Computing Chair SB/IACS/CMCS Ecole Polytechnique Fédérale de Lausanne,undefined
来源：
Numerische Mathematik | 2004年 / 97卷
关键词：
Boundary Condition; Euler Equation; Numerical Scheme; Scalar Equation; Kinetic Boundary;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：595 / 633
页数：38
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