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Solution of the Boltzmann Equation in Stiff Regime

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Hyperbolic Problems: Theory, Numerics, Applications

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 141))

Abstract

One consider a method for solving the Boltzmann kinetic equation for a gas flow which is close to the local thermadynamic equilibrium. To eliminate the “stiffness” of the equation, a special method for evaluation of the collision integral is developed. The numerical algorithm uses the splitting on a relaxation and on a transport stages. The scheme for the relaxation stage is conservative and gives correct asymptotic solution when the time stepτ→∞. For the transport stage the conservative flux-corrected scheme is applied. Some examples of calculations are presented.

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© 2001 Springer Basel AG

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Tcheremissine, F.G. (2001). Solution of the Boltzmann Equation in Stiff Regime. In: Freistühler, H., Warnecke, G. (eds) Hyperbolic Problems: Theory, Numerics, Applications. ISNM International Series of Numerical Mathematics, vol 141. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8372-6_42

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  • DOI: https://doi.org/10.1007/978-3-0348-8372-6_42

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9538-5

  • Online ISBN: 978-3-0348-8372-6

  • eBook Packages: Springer Book Archive

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