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Numerical Analysis of Levermore's Moment System

Abstract : The simulation of transitional gas flow near rarefied regimes requires new models which can describe kinetic effects but which are less complex than the original Boltzmann equation. The strategy introduced by Levermore [1] rewrites the Boltzmann equations as a system of moment equations, with a new closure procedure. We recall here the mathematical properties of this Levermore's moment systems. Boundary conditions derived from the kinetic theory are proposed. Based on these properties, we present an original first-order kinetic scheme with explicit flux splitting and implicit source terms. A 14-moments system model is tested to simulate one-dimensional gas flows (Couette flow and normal shock wave) near the transitional regime.
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Submitted on : Wednesday, May 24, 2006 - 1:12:02 PM
Last modification on : Friday, February 4, 2022 - 3:08:11 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:18:36 PM


  • HAL Id : inria-00073565, version 1



Patrick Le Tallec, Jean-Philippe Perlat. Numerical Analysis of Levermore's Moment System. [Research Report] RR-3124, INRIA. 1997. ⟨inria-00073565⟩



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