Journal ArticleDOI
An accelerated discrete velocity method for flows of rarefied ternary gas mixtures in long rectangular channels
TLDR
In this article, an accelerated discrete velocity method is presented for rarefied three-component gas mixtures flowing through long rectangular ducts, based on the McCormack linearized kinetic model.About:
This article is published in Computers & Fluids.The article was published on 2016-04-10. It has received 6 citations till now. The article focuses on the topics: Rarefaction & Diffusion (business).read more
Citations
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Journal ArticleDOI
Can we find steady-state solutions to multiscale rarefied gas flows within dozens of iterations?
TL;DR: A general synthetic iteration scheme (GSIS) to find the steady-state solutions of general rarefied gas flows within dozens of iterations at any Knudsen number, which is expected to accelerate the slow convergence in simulation of near-continuum flows via the direct simulation Monte Carlo method and its low-variance version.
Journal ArticleDOI
A fast iterative scheme for the linearized Boltzmann equation
TL;DR: In this article, a synthetic iterative scheme is developed to speed up the solution of the linearized Boltzmann equation by penalizing the collision operator $L$ into the form $L=(L+N\delta{h})-N √ n √ h, where h is the velocity distribution function and n is a tuning parameter controlling the convergence rate.
Journal ArticleDOI
General synthetic iterative scheme for nonlinear gas kinetic simulation of multi-scale rarefied gas flows
TL;DR: The efficiency and accuracy of GSIS is demonstrated by a number of canonical test cases in rarefied gas dynamics, and it can be solved by sophisticated techniques in computational fluid dynamics, making it amenable to large scale engineering applications.
Journal ArticleDOI
A high-order hybridizable discontinuous Galerkin method with fast convergence to steady-state solutions of the gas kinetic equation
TL;DR: The high-order hybridizable discontinuous Galerkin (HDG) method is used to find the steady-state solution of the linearized Bhatnagar–Gross–Krook equation on two-dimensional triangular meshes to simulate rarefied gas mixtures and the Boltzmann collision operator.
References
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Book
Heat Transfer and Fluid Flow in Minichannels and Microchannels
TL;DR: In this paper, the authors focus on flow through passages with hydraulic diameters from about 1μm to 3 mm, covering the range of microchannels and minichannels, and the challenge is to understand and quantify how utilizing microscale passages alters fluid flow patterns and the resulting, momentum, heat, and mass transfer processes to maximize device performance while minimizing cost, size, and energy requirements.
Journal ArticleDOI
Fast iterative methods for discrete-ordinates particle transport calculations
Marvin L. Adams,Edward W. Larsen +1 more
TL;DR: This Review discusses the theoretical foundations of the development of acceleration methods for iterative convergence of discrete-ordinates simulations, the important results that have been accomplished, and remaining open questions.
Journal ArticleDOI
Equilibrium and transport properties of the noble gases and their mixtures at low density
TL;DR: In this article, a set of easy-to-program expressions for the calculation of the thermodynamic and transport properties of the five noble gases (He, Ne, Ar, Kr, Xe) and of the 26 binary and multicomponent mixtures that can be formed with them are presented.
Book
Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows
TL;DR: A survey of Mathematical Approaches to Solving the Boltzmann Equation can be found in this article, where the authors consider the following problems: 1. Nonuniform Relaxation Problem as a Basic Model for Description of Open Systems.
Journal ArticleDOI
Construction of linearized kinetic models for gaseous mixtures and molecular gases
TL;DR: In this paper, a simple method of construction of linearized kinetic models is proposed which is based upon the equivalence of moments of the Nth-order modeled collision operator and the full collision operator calculated with the nthorder approximation to the distribution function.