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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Journal ArticleDOI
Shock wave structure for generalized Burnett equations
TL;DR: In this article, the generalized Burnett equations (GBE) were used to solve the shock wave problem for various Mach numbers and compared with the numerical solutions of Navier-Stokes equations and with the Mott-Smith approximation for the Boltzmann equation (all calculations are done for Maxwell molecules).
Proceedings ArticleDOI
Hyperbolic Moment Equations Using Quadrature-Based Projection Methods
TL;DR: In this article, the authors extend the proof for global hyperbolicity of the quadrature-based moment system system to arbitrary dimensions, utilizing quadratures-based projectors.
Journal ArticleDOI
Fundamental solutions to moment equations for the simulation of microscale gas flows
Duncan A. Lockerby,B.S. Collyer +1 more
TL;DR: In this paper, fundamental solutions to Grad's steady-state linearised 13-moment equations for non-equilibrium gas flow are derived. But their solutions are mesh free, and bene t from not having to truncate and discretise an in nite three-dimensional domain.
Journal ArticleDOI
Moment Closure Approximations of the Boltzmann Equation Based on \varphi -Divergences
TL;DR: In this paper, a generalization of the setting of the moment-closure problem from relative entropy to divergence-based divergences is proposed, which leads to a hierarchy of tractable symmetric hyperbolic systems that retain the fundamental structural properties of the Boltzmann equation.
Journal ArticleDOI
The general form of transport diffusivity of shale gas in organic-rich nano-slits—A molecular simulation study using Darken approximation
Yaxiong Li,Yaxiong Li,Zhiming Hu,Zhiming Hu,Xianggang Duan,Xianggang Duan,Xiangyang Wang,Jianglong Shi,Hongming Zhan,Hongming Zhan +9 more
TL;DR: In this article, the authors studied the diffusion behavior of shale gas in nano-scale channels and established a calculation method for generalized transport diffusivity using Darken approximation by molecular simulation (MS).