Computational framework for the regularized 20-moment equations for non-equilibrium gas flows
TLDR
In this article, a framework for solving the regularized 20-moment equations consisting of a set of transport-like governing equations, the required constitutive closure, re-casting of the equations in second-order partial derivative form and derivation of additional wall boundary conditions is presented.Abstract:
This paper presents a framework for solving the regularized 20-moment equations consisting of a set of transport-like governing equations, the required constitutive closure, re-casting of the equations in second-order partial derivative form and derivation of additional wall boundary conditions. Couette flow results reveal that good agreement occurs between the 20-moment equations and direct simulation Monte Carlo data.read more
Citations
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Journal ArticleDOI
A high-order moment approach for capturing non-equilibrium phenomena in the transition regime
Xiao-Jun Gu,David R. Emerson +1 more
TL;DR: In this paper, the theory of regularized moment equations is extended to 26 moment equations for planar Couette and Poiseuille flows, which can correctly predict the Knudsen layer, the velocity profile and the mass flow rate of pressure-driven PoISEUille flow up to 1.0 and capture the bimodal temperature profile.
Journal ArticleDOI
Numerical Regularized Moment Method of Arbitrary Order for Boltzmann-BGK Equation
Zhenning Cai,Ruo Li +1 more
TL;DR: A conservative projection operator is defined and a fast implementation is proposed, which makes it convenient to add up two distributions and provides more efficient flux calculations compared with the classic method using explicit expressions of flux functions.
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.
Journal ArticleDOI
Simulating fluid flows in micro and nano devices: the challenge of non-equilibrium behaviour
Jason M. Reese,Yonghao Zhang +1 more
TL;DR: In this paper, a review of recent developments in the modelling of non-equilibrium (rarefied) gas flows at the micro and nano-scale, concentrating on two different but promising approaches: extended hydrodynamic models, and lattice Boltzmann methods.
Journal ArticleDOI
An Efficient NRxx Method for Boltzmann-BGK Equation
Zhenning Cai,Ruo Li,Yanli Wang +2 more
TL;DR: In this article, a numerical regularized moment method of arbitrary order (abbreviated as NRxx method) for Boltzmann-BGK equation is proposed, which makes numerical simulation using very large number of moments possible.
References
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Book
Molecular Gas Dynamics and the Direct Simulation of Gas Flows
TL;DR: The direct simulation Monte Carlo (or DSMC) method has, in recent years, become widely used in engineering and scientific studies of gas flows that involve low densities or very small physical dimensions as mentioned in this paper.
Journal ArticleDOI
On Stresses in Rarified Gases arising from Inequalities of Temperature
TL;DR: In this paper, it was shown that the difference between the maximum and the minimum pressure at a point may be of considerable magnitude when the density of the gas is small enough, and when the inequalities of temperature are produced by small solid bodies at a higher or lower temperature than the vessel containing the gas.
BookDOI
The MEMS Handbook
TL;DR: In this paper, the authors present a detailed overview of the history of the field of flow simulation for MEMS and discuss the current state-of-the-art in this field.
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