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Modified Chapman-Enskog expansion: A new way to treat divergent series |
Zhen-Su She(佘振苏) |
State Key Laboratory for Turbulence and Complex Systems and the Department of Mechanics and Engineering Sciences, College of Engineering, Peking University, Beijing 100871, China |
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Abstract The resolution by Chen and Sun of divergent Chapman-Enskog expansion problem will not only build a unified foundation for non-equilibrium dynamics modeling at all Mach number and Knudsen number, but also shed light to a large class of difficult theoretical problems involving divergent expansion on strong nonlinearity.
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Received: 18 May 2017
Revised: 28 May 2017
Accepted manuscript online:
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PACS:
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05.20.Dd
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(Kinetic theory)
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05.70.Ln
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(Nonequilibrium and irreversible thermodynamics)
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02.30.Mv
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(Approximations and expansions)
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Corresponding Authors:
Zhen-Su She
E-mail: she@pku.edu.cn
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About author: 0.1088/1674-1056/26/8/ |
Cite this article:
Zhen-Su She(佘振苏) Modified Chapman-Enskog expansion: A new way to treat divergent series 2017 Chin. Phys. B 26 080501
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Chapman S and Cowling T G 1990 The Mathematical Theory of Non-uniform Gases (Cambridge: Cambridge University Press)
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Chen N X and Sun B H 2017 Chin. Phys. Lett. 34 020502
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Chen N X 2017 private communication
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Yakhot V and Orszag S A 1986 J. Sci. Computing 1 3
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She Z S, Chen X and Hussain F 2014 "A Lie-group derivation of a multi-layer mixing length formula for turbulent channel and pipe flow", Turbulence colloquium Marseille 2011, ed. Farge, Moffatt, Schneider, pp. 436-455, ISBN 978-2-7598-1145-8
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[13] |
She Z S, Chen X, Wu Y and Hussain F 2010 Acta Mech. Sin. 26 847
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