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Book ChapterDOI

Macroscopic Transport Equations for Rarefied Gas Flows

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The article was published on 2005-01-01. It has received 473 citations till now.

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Journal ArticleDOI

Characterization of the moment space corresponding to the Levermore basis

TL;DR: In this paper, a complete characterisation of the moment space corresponding to the Levermore basis is given, through constraints on the moments, thanks to classical tools, similar to Hankel determinants.
Proceedings ArticleDOI

Scale‐Induced Closure for Approximations of Kinetic Equations

TL;DR: In this paper, a generalization of the order-of-magnitude closure procedure for the infinte moment hierarchy in the kinetic theory of gases is presented, which produces a moment distribution function that respects the scaling of a Chapman-Enskog expansion.
Book ChapterDOI

Nature Knows Better

TL;DR: This chapter focuses on the experimental background of extended constitutive equations, especially on non-Fourier heat conduction, which conveys essential aspects and provides guidance for ‘special’ thermal and coupled problems.
Journal ArticleDOI

An Admissible Asymptotic-Preserving Numerical Scheme for the Electronic M1 Model in the Diffusive Limit

TL;DR: In this article, a numerical scheme is proposed to deal with the mixed derivatives which arise in the diffusive limit leading to an anisotropic diffusion, and the derived numerical scheme preserves the realisability domain and enjoys asymptotic-preserving properties correctly recovering the relevant limit equation.
Proceedings ArticleDOI

Analytical and Numerical Solutions of Boundary Value Problems for the Regularized 13 Moment Equations

TL;DR: In this paper, the regularized 13 moment equations were used to capture all important linear and nonlinear rarefaction effects with good accuracy, and anlytical and numerical solutions were provided.