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 …
in which the particle collisions cannot maintain thermal equilibrium. Such a situation typically …
Macroscopic transport models for rarefied gas flows: a brief review
H Struchtrup, P Taheri - IMA journal of applied mathematics, 2011 - ieeexplore.ieee.org
Efficient modelling of gas microflows requires accurate, yet fast to solve, models. For finite
but moderate Knudsen numbers, extended macroscopic transport equations offer an …
but moderate Knudsen numbers, extended macroscopic transport equations offer an …
Fokker–Planck model for computational studies of monatomic rarefied gas flows
In this study, we propose a non-linear continuous stochastic velocity process for simulations
of monatomic gas flows. The model equation is derived from a Fokker–Planck approximation …
of monatomic gas flows. The model equation is derived from a Fokker–Planck approximation …
An analytical model for shale gas permeability
M Kazemi, A Takbiri-Borujeni - International journal of coal geology, 2015 - Elsevier
Based on the kinetic theory of gases and using the regularized 13-moment method, the
analytical R13 AP model is introduced for predicting gas apparent permeability of …
analytical R13 AP model is introduced for predicting gas apparent permeability of …
A robust numerical method for the R13 equations of rarefied gas dynamics: Application to lid driven cavity
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 …
regularized 13 moment (R13) equations of rarefied gas dynamics. The scheme allows fast …
Extending the Navier–Stokes solutions to transition regime in two-dimensional micro-and nanochannel flows using information preservation scheme
E Roohi, M Darbandi - Physics of fluids, 2009 - pubs.aip.org
The kinetic-theory-based numerical schemes, such as direct simulation Monte Carlo
(DSMC) and information preservation (IP), can be readily used to solve transition flow …
(DSMC) and information preservation (IP), can be readily used to solve transition flow …
Lattice ellipsoidal statistical BGK model for thermal non-equilibrium flows
A thermal lattice Boltzmann model is constructed on the basis of the ellipsoidal statistical
Bhatnagar–Gross–Krook (ES-BGK) collision operator via the Hermite moment …
Bhatnagar–Gross–Krook (ES-BGK) collision operator via the Hermite moment …
Thermodynamically admissible boundary conditions for the regularized 13 moment equations
AS Rana, H Struchtrup - Physics of Fluids, 2016 - pubs.aip.org
A phenomenological approach to the boundary conditions for linearized R13 equations is
derived using the second law of thermodynamics. The phenomenological coefficients …
derived using the second law of thermodynamics. The phenomenological coefficients …
Fundamental solutions of an extended hydrodynamic model in two dimensions: Derivation, theory, and applications
The inability of the Navier-Stokes-Fourier equations to capture rarefaction effects motivates
us to adopt the extended hydrodynamic equations. In the present work, a hydrodynamic …
us to adopt the extended hydrodynamic equations. In the present work, a hydrodynamic …
Non-equilibrium effects on flow past a circular cylinder in the slip and early transition regime
This paper presents a comprehensive investigation into flow past a circular cylinder where
compressibility and rarefaction effects play an important role. The study focuses on steady …
compressibility and rarefaction effects play an important role. The study focuses on steady …