Book ChapterDOI
Macroscopic Transport Equations for Rarefied Gas Flows
Henning Struchtrup
- pp 145-160
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The article was published on 2005-01-01. It has received 473 citations till now.read more
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A computational strategy for the regularized 13 moment equations with enhanced wall-boundary conditions
Xiao-Jun Gu,David R. Emerson +1 more
TL;DR: This paper proposes a numerical solution procedure for the regularized 13 moment equations within a finite-volume framework and highlights limitations that are caused by the use of a first-order expansion of the third moment.
Journal ArticleDOI
A solution algorithm for the fluid dynamic equations based on a stochastic model for molecular motion
TL;DR: A stochastic model to simulate the flow of gases, which are not in thermodynamic equilibrium, and the application to the Knudsen paradox demonstrates the correctness and relevance of this development, and comparisons with existing kinetic equations and standard solution algorithms reveal its advantages.
Journal ArticleDOI
Incorporating forcing terms in cascaded lattice Boltzmann approach by method of central moments.
TL;DR: It is shown that the impressed force field influences the cascaded collision process in the evolution of the transformed distribution function, and the proposed approach implies "generalization" of both local equilibrium and source terms in the usual lattice frame of reference, which depend on the ratio of the relaxation times of moments of different orders.
Journal ArticleDOI
Fokker–Planck model for computational studies of monatomic rarefied gas flows
TL;DR: In this paper, a non-linear continuous stochastic velocity process for simulations of monatomic gas flows is proposed, which is derived from a Fokker-Planck approximation of the Boltzmann equation.
Journal ArticleDOI
Realizable high-order finite-volume schemes for quadrature-based moment methods
TL;DR: In the present work, realizability of the finite-volume schemes in both space and time is discussed for the 1st time and a generalized idea for developing realizable high-order finite- volumes for quadrature-based moment methods is presented.