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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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Switching criteria for hybrid rarefied gas flow solvers

TL;DR: In this article, switching from a molecular/kinetic solver to a hydrodynamic (continuum-fluid) solver is proposed based on the difference between the hydrodynamics near-equilibrium fluxes (i.e., the Navier-Stokes stress and Fourier heat flux) and the actual values of stress and heat flux as computed from the molecular solver.
Journal ArticleDOI

Assessment of the ellipsoidal-statistical Bhatnagar-Gross-Krook model for force-driven Poiseuille flows

TL;DR: The ellipsoidal-statistical Bhatnagar-Gross-Krook (ES-BGK) kinetic model for planar force-driven Poiseuille flows is found to be able to predict accurate velocity and temperature profiles in the slip flow regime.
Journal ArticleDOI

Rarefaction effects in thermally-driven microflows

TL;DR: In this paper, an analytical approach based on linearized and semi-linearized forms of the regularized 13-moment equations (R13 equations) for rarefied gas flow in a parallel-plate micro-channel is considered, where a streamwise constant temperature gradient is applied in the channel walls.
Journal ArticleDOI

Compressibility in lattice Boltzmann on standard stencils: effects of deviation from reference temperature.

TL;DR: The aim of the present study is to evaluate the stability domain of different EDFs, different collision models, with and without the correction terms for the third-order moments.
Journal ArticleDOI

Moment model and boundary conditions for energy transport in the phonon gas

TL;DR: In this paper, a simple model for phonon interaction with crystal boundaries, similar to the Maxwell boundary conditions in classical kinetic theory, is proposed, and a macroscopic transport equation for an arbitrary set of moments is developed and closed by means of Grad's moment method.