A review on slip models for gas microflows

WM Zhang, G Meng, X Wei - Microfluidics and nanofluidics, 2012 - Springer
Accurate modeling of gas microflow is crucial for the microfluidic devices in MEMS. Gas
microflows through these devices are often in the slip and transition flow regimes …

Modeling nonequilibrium gas flow based on moment equations

M Torrilhon - Annual review of fluid mechanics, 2016 - annualreviews.org
This article discusses the development of continuum models to describe processes in gases
in which the particle collisions cannot maintain thermal equilibrium. Such a situation typically …

A high-order moment approach for capturing non-equilibrium phenomena in the transition regime

X Gu, DR Emerson - Journal of fluid mechanics, 2009 - cambridge.org
The method of moments is employed to extend the validity of continuum-hydrodynamic
models into the transition-flow regime. An evaluation of the regularized 13 moment …

A computational strategy for nonlinear coupled constitutive relations of rarefied nonequilibrium flows on unstructured grids

S Zeng, Z He, W Zhao, W Chen - Aerospace Science and Technology, 2023 - Elsevier
Abstract The Navier-Stokes-Fourier (NSF) equations are no longer valid in high-Knudsen
and high-Mach flows, where the local thermodynamically equilibrium assumption fails, while …

Lattice Boltzmann modeling of microchannel flows in the transition flow regime

Q Li, YL He, GH Tang, WQ Tao - Microfluidics and nanofluidics, 2011 - Springer
Owing to its kinetic nature and distinctive computational features, the lattice Boltzmann
method for simulating rarefied gas flows has attracted significant research interest in recent …

Boundary conditions for regularized 13-moment-equations for micro-channel-flows

M Torrilhon, H Struchtrup - Journal of Computational Physics, 2008 - Elsevier
Boundary conditions are the major obstacle in simulations based on advanced continuum
models of rarefied and micro-flows of gases. In this paper, we present a theory how to …

Investigation of heat and mass transfer in a lid-driven cavity under nonequilibrium flow conditions

B John, XJ Gu, DR Emerson - Numerical Heat Transfer, Part B …, 2010 - Taylor & Francis
Gaseous flow and heat transfer in a lid-driven cavity under nonequilibrium flow conditions is
investigated using the direct simulation Monte Carlo method, from the slip to the free …

Further acceleration of multiscale simulation of rarefied gas flow via a generalized boundary treatment

W Liu, Y Zhang, J Zeng, L Wu - Journal of Computational Physics, 2024 - Elsevier
The recently-developed general synthetic iterative scheme (GSIS) is efficient in simulating
multiscale rarefied gas flows due to the coupling of mesoscopic kinetic equation and …

A robust numerical method for the R13 equations of rarefied gas dynamics: Application to lid driven cavity

A Rana, M Torrilhon, H Struchtrup - Journal of Computational Physics, 2013 - Elsevier
In this work we present a finite difference scheme to compute steady state solutions of the
regularized 13 moment (R13) equations of rarefied gas dynamics. The scheme allows fast …

A second-order slip/jump boundary condition modified by nonlinear Rayleigh–Onsager dissipation factor

S Zeng, W Zhao, Z Jiang, W Chen - Physics of Fluids, 2023 - pubs.aip.org
A newly heuristic form of second-order slip/jump boundary conditions (BCs) for the Navier–
Stokes–Fourier (NSF) equations is proposed from the viewpoint of generalized …