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The temperature-jump problem in rarefied-gas dynamics

Published online by Cambridge University Press:  23 October 2000

L. B. BARICHELLO  and
C. E. SIEWERT
L. B. BARICHELLO
Affiliation:
Instituto de Matemática, Universidade Federal do Rio Grande do Sul, 91509–900 Porto Alegre, RS, Brasil
C. E. SIEWERT
Affiliation:
Mathematics Department, North Carolina State University, Raleigh, NC 27695–8205, USA
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Abstract

An analytical version of the discrete-ordinates method is used here to solve the classical temperature-jump problem based on the BGK model in rarefied-gas dynamics. In addition to a complete development of the discrete-ordinates method for the application considered, the computational algorithm is implemented to yield very accurate results for the temperature jump and the complete temperature and density distributions in the gas. The algorithm is easy to use, and the developed code runs typically in less than a second on a 400 MHz Pentium-based PC.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 11 , Issue 4 , September 2000 , pp. 353 - 364
Copyright
2000 Cambridge University Press

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