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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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Kramers’ problem and the Knudsen minimum: a theoretical analysis using a linearized 26-moment approach

TL;DR: In this paper, a set of linearized 26 moment equations, along with their wall boundary conditions, are derived and used to study low-speed gas flows dominated by Knudsen layers.
Journal ArticleDOI

A Hierarchy of Hybrid Numerical Methods for Multiscale Kinetic Equations

TL;DR: This paper constructs a hierarchy of hybrid numerical methods for multi-scale kinetic equations based on moment realizability matrices, a concept introduced by Levermore, Morokoff, and Nadiga in [Phys. Fluids, 10 (1998), pp. 3214--3226].
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Entropy production moment closures and effective transport coefficients

TL;DR: In this paper, a moment closure based on entropy production rate minimization is proposed for non-local thermal equilibrium (LTE) medium, which is applicable to incoherent transport of independent particles interacting with an LTE medium.
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Early history of extended irreversible thermodynamics (1953–1983): An exploration beyond local equilibrium and classical transport theory

TL;DR: In this article, the authors give a historical account of the early years (1953-1983) of extended irreversible thermodynamics (EIT) and explore the consistency between generalized transport equations and a generalized version of the second law of thermodynamics.
Journal ArticleDOI

NR$xx$ Simulation of Microflows with Shakhov Model

TL;DR: Cai et al. as discussed by the authors proposed a method to simulate the microflows with Shakhov model using the NR$xx$ method developed in [Z. Cai and R. Li, SIAM J. Sci. Comput.