The Boltzmann equation in the difference formulation
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.
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- Technical Report
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- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
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- Country of Publication:
- United States
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOLTZMANN EQUATION; THERMAL CONDUCTIVITY; APPROXIMATIONS; COLLISIONS; CHAPMAN-ENSKOG THEORY; SERIES EXPANSION; GASES
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