Kinetic approximation of a boundary value problem for conservation laws
Langue
en
Article de revue
Ce document a été publié dans
Numerische Mathematik. 2004-06, vol. 97, n° 4, p. 595-633
Springer Verlag
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
Boundary Condition
Euler Equation
Numerical Scheme
Scalar Equation
Kinetic Boundary
Origine
Importé de halUnités de recherche