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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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Perturbative approaches in relativistic kinetic theory and the emergence of first-order hydrodynamics

TL;DR: In this article , the relativistic generalizations of the perturbative expansions put forward by Chapman and Enskog, and Hilbert, using general matching conditions in kinetic theory are discussed.
Journal ArticleDOI

Non-equilibrium diffusion temperatures in mixture of gases via Maxwellian iteration

TL;DR: In this paper, the difference of non-equilibrium temperatures between constituents, so-called diffusion temperature in the model of mixtures of gases in which each constituent has assigned its own velocity and temperature field, was studied.
Proceedings ArticleDOI

Evaporation/condensation boundary conditions for the regularized 13 moment equations

TL;DR: In this paper, the regularized 13 moment equations (R13) are used to describe rarefied gas flows in the transition regime and their range of applicability is extended by boundary conditions for evaporating and condensing interfaces derived from the microscopic interface conditions of kinetic theory.

Capturing the influence of intermolecular potential in rarefied gas flows by a kinetic model with velocity-dependent collision frequency

Rui-ying Yuan, +1 more
TL;DR: In this article , a kinetic model called the $ u$-model is proposed to replace the complicated Boltzmann collision operator in the simulation of rarefied flows of monatomic gas.
Journal ArticleDOI

A unified stochastic particle method based on the Bhatnagar-Gross-Krook model for polyatomic gases and its combination with DSMC

TL;DR: In this article , the particle-particle hybrid method is extended to polyatomic gas flows, and a hybrid scheme combining the stochastic particle Bhatnagar-Gross-Krook (BGK) method with direct simulation Monte Carlo (DSMC) was developed.