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Journal ArticleDOI

Conditional quadrature method of moments for kinetic equations

Cansheng Yuan, +1 more
- 01 Sep 2011 - 
- Vol. 230, Iss: 22, pp 8216-8246
TLDR
A novel moment-inversion algorithm, based on 1-D adaptive quadratures of conditional velocity moments, is introduced and shown to always yield realizable distribution functions (i.e. non-negative quadrature weights).
About
This article is published in Journal of Computational Physics.The article was published on 2011-09-01. It has received 220 citations till now. The article focuses on the topics: Gauss–Kronrod quadrature formula & Quadrature based moment methods.

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Citations
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Journal ArticleDOI

An Euler-Lagrange strategy for simulating particle-laden flows

TL;DR: A strategy capable of simulating polydisperse flows in complex geometries is employed where the fluid transport equations are solved in an Eulerian framework and the dispersed phase is represented as Lagrangian particles.
Journal ArticleDOI

An extended quadrature method of moments for population balance equations

TL;DR: In this article, a new generation of QBMM is introduced that provides an explicit form for the NDF, which allows unclosed source terms to be computed with great accuracy by increasing the number of quadrature nodes.
Journal Article

The limits of Navier-Stokes theory and kinetic extensions for describing small-scale gaseous hydrodynamics

TL;DR: In this paper, the authors review basic results and recent developments in the field of small-scale gaseous hydrodynamics, and present recent variance reduction ideas which address the prohibitive cost associated with the statistical sampling of macroscopic properties in low speed flows.
Journal ArticleDOI

Large-Eddy-Simulation Tools for Multiphase Flows

TL;DR: In this article, a systematic approach for developing large-eddy-simulation (LES) tools for dispersed multiphase flows starting from the microscale model is presented, where a key intermediate step is the mesoscopic model for the dispersed phase, formulated in terms of kinetic equations, that contains the physical models for the flow.
Journal ArticleDOI

Continuum theory for dense gas-solid flow: A state-of-the-art review

TL;DR: In this paper, the Navier-Stokes order continuum theory is used for CFD simulation of the hydrodynamics of gas-solid fluidization, without taking the effects of heat and mass transfer as well as chemical reactions into consideration.
References
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Journal ArticleDOI

A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

TL;DR: In this paper, a kinetic theory approach to collision processes in ionized and neutral gases is presented, which is adequate for the unified treatment of the dynamic properties of gases over a continuous range of pressures from the Knudsen limit to the high pressure limit where the aerodynamic equations are valid.

Small amplitude processes in charged and neutral one-component systems

TL;DR: In this article, a kinetic theory approach to collision processes in ionized and neutral gases is presented, which is adequate for the unified treatment of the dynamic properties of gases over a continuous range of pressures from the Knudsen limit to the high pressure limit where the aerodynamic equations are valid.
Book

Finite Volume Methods for Hyperbolic Problems

TL;DR: The CLAWPACK software as discussed by the authors is a popular tool for solving high-resolution hyperbolic problems with conservation laws and conservation laws of nonlinear scalar scalar conservation laws.
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.
Book

The Boltzmann equation and its applications

TL;DR: In this article, the Boltzmann Equation for rigid spheres is used to model the dynamics of a gas of rigid spheres in phase space and to solve the problem of flow and heat transfer in regions bounded by planes or cylinders.
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