Numerical solutions of the Krook kinetic equation-Reference-Cited by-同舟云学术

Numerical solutions of the Krook kinetic equation

Published:1966-06 Issue:2 Volume:25 Page:271-287
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Anderson Donald G.

Abstract

Because of the relative simplicity of the statistical model for molecular interactions, numerically exact solutions of the Krook kinetic equation can be obtained. Comparison of exact and approximate solutions of the model equation allows the evaluation of approximate procedures for solving the Boltzmann equation. Exact and approximate numerical solutions have been obtained for Couette flow with heat transfer and the structure of a plane shock wave. The present paper summarizes the work of the author in obtaining the numerically exact solutions.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference20 articles.

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3. Anderson, D. G. & Macomber, H. K. 1964 Tech. Rep. no. 10, Engineering Sciences Laboratory, Harvard University. (To be published in J. Math. Phys.)

4. Macomber, H. K. 1965 Moment methods for non-linear problems in kinetic theory. Ph.D. Thesis, Harvard University. (Also available as Tech. Rep. no. 13, Engineering Sciences Laboratory, Harvard University.)

5. Lanczos, C. 1952 National Bureau of Standards Applied Mathematics Series no. 9, Washington.

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