The Boltzmann equation in the difference formulation

Szoke, Abraham¹  Brooks III, Eugene D.¹ 

[1]Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

关键词: BOLTZMANN EQUATION;    THERMAL CONDUCTIVITY;    APPROXIMATIONS;    COLLISIONS;    CHAPMAN-ENSKOG THEORY;    SERIES EXPANSION;    GASES;   

DOI  :  10.2172/1184176
RP-ID  :  LLNL--TR-671181
PID  :  OSTI ID: 1184176
Others  :  TRN: US1500306

学科分类：物理（综合）

美国|英语

来源: SciTech Connect

【 摘 要 】

First we recall the assumptions that are needed for the validity of the Boltzmann equation and for the validity of the compressible Euler equations. We then present the difference formulation of these equations and make a connection with the time-honored Chapman - Enskog expansion. We discuss the hydrodynamic limit and calculate the thermal conductivity of a monatomic gas, using a simplified approximation for the collision term. Our formulation is more consistent and simpler than the traditional derivation.