论文信息 - Kinetic symmetrizations and pressure laws for the Euler equations

Kinetic symmetrizations and pressure laws for the Euler equations

Abstract The symmetrizations of the compressible Euler equations written as kinetic mean are studied. Some of their properties are pointed out. We emphasize for numerical purpose the case of real rarefied gases with pressure laws p = ϱf ( ϵ ). Flux-splitting formulae are derived for such pressure laws.

Jean-Pierre Croisille | Philippe Delorme | J. Croisille | P. Delorme

[1] A. Harten. On the symmetric form of systems of conservation laws with entropy , 1983 .

[2] P. Lax. Shock Waves and Entropy , 1971 .

[3] M. Mock,et al. Systems of conservation laws of mixed type , 1980 .

[4] Rolf D. Reitz,et al. One-dimensional compressible gas dynamics calculations using the Boltzmann equation , 1981 .

[5] T. Teichmann,et al. Introduction to physical gas dynamics , 1965 .

[6] R. H. Sanders,et al. The possible relation of the 3-kiloparsec arm to explosions in the galactic nucleus , 1974 .

[7] G. H. Hardy,et al. Some properties of fractional integrals. I. , 1928 .

[8] P. Mazur,et al. Non-equilibrium thermodynamics, , 1963 .

[9] Jerrold E. Marsden,et al. A short course in fluid mechanics , 1976 .

[10] D. Pullin,et al. Direct simulation methods for compressible inviscid ideal-gas flow , 1980 .

[11] T. L. Hill,et al. An Introduction to Statistical Thermodynamics , 1960 .