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Numerical methods and programming, 2012, Volume 13, Issue 1, Pages 98–106 (Mi vmp12)  
Вычислительные методы и приложения

A scheme for evaluating the Boltzmann collision integral

E. A. Malkov, M. S. Ivanov

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (336 kB)
Abstract: A scheme developed for the highly accurate evaluation of the Boltzmann collision integral in rarefied gas flows is proposed. Test computations show that the proposed scheme makes it possible to find the numerical solutions of the Boltzmann equation in a wide range of flow velocities, including extremely slow flows.
Keywords: rarefied gas dynamics; Boltzmann equation; numerical methods.
Received: 27.12.2011
Document Type: Article
UDC: 519.6; 533.72
Language: Russian
Citation: E. A. Malkov, M. S. Ivanov, “A scheme for evaluating the Boltzmann collision integral”, Num. Meth. Prog., 13:1 (2012), 98–106
Citation in format AMSBIB
\Bibitem{MalIva12}
\by E. A. Malkov, M.~S.~Ivanov
\paper A scheme for evaluating the Boltzmann collision integral
\jour Num. Meth. Prog.
\yr 2012
\vol 13
\issue 1
\pages 98--106
\mathnet{http://mi.mathnet.ru/vmp12}
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