Analytical solution of axi-symmetrical lattice Boltzmann model for cylindrical Couette flows

Hongyan An; Chuhua Zhang; Jian-Ping Meng; Yonghao Zhang

doi:10.1016/j.physa.2011.07.038

Analytical solution of axi-symmetrical lattice Boltzmann model for cylindrical Couette flows

Hongyan An, Chuhua Zhang, Jian-Ping Meng, Yonghao Zhang

Mechanical And Aerospace Engineering

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Abstract

Analytical solution for the axi-symmetrical lattice Boltzmann model is obtained for the low-Mach number cylindrical Couette flows. In the hydrodynamic limit, the present solution is in excellent agreement with the result of the Navier-Stokes equation. Since the kinetic boundary condition is used, the present analytical solution using nine discrete velocities can describe flows with the Knudsen number up to 0.1. Meanwhile, the comparison with the simulation data obtained by the direct simulation Monte Carlo method shows that higher-order lattice Boltzmann models with more discrete velocities are needed for highly rarefied flows.

Original language	English
Pages (from-to)	8-14
Number of pages	7
Journal	Physica A: Statistical Mechanics and its Applications
Volume	391
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physa.2011.07.038
Publication status	Published - 1 Jan 2012

Keywords

lattice Boltzmann model
analytical solution
axi-symmetric flow

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10.1016/j.physa.2011.07.038

Zhang YH Pure Analytical solution for the lattice Boltzmann model beyond Navier Stokes Apr 2010Submitted manuscript, 173 KB

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title = "Analytical solution of axi-symmetrical lattice Boltzmann model for cylindrical Couette flows",

abstract = "Analytical solution for the axi-symmetrical lattice Boltzmann model is obtained for the low-Mach number cylindrical Couette flows. In the hydrodynamic limit, the present solution is in excellent agreement with the result of the Navier-Stokes equation. Since the kinetic boundary condition is used, the present analytical solution using nine discrete velocities can describe flows with the Knudsen number up to 0.1. Meanwhile, the comparison with the simulation data obtained by the direct simulation Monte Carlo method shows that higher-order lattice Boltzmann models with more discrete velocities are needed for highly rarefied flows.",

keywords = "lattice Boltzmann model, analytical solution, axi-symmetric flow",

author = "Hongyan An and Chuhua Zhang and Jian-Ping Meng and Yonghao Zhang",

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T1 - Analytical solution of axi-symmetrical lattice Boltzmann model for cylindrical Couette flows

AU - An, Hongyan

AU - Zhang, Chuhua

AU - Meng, Jian-Ping

AU - Zhang, Yonghao

PY - 2012/1/1

Y1 - 2012/1/1

N2 - Analytical solution for the axi-symmetrical lattice Boltzmann model is obtained for the low-Mach number cylindrical Couette flows. In the hydrodynamic limit, the present solution is in excellent agreement with the result of the Navier-Stokes equation. Since the kinetic boundary condition is used, the present analytical solution using nine discrete velocities can describe flows with the Knudsen number up to 0.1. Meanwhile, the comparison with the simulation data obtained by the direct simulation Monte Carlo method shows that higher-order lattice Boltzmann models with more discrete velocities are needed for highly rarefied flows.

AB - Analytical solution for the axi-symmetrical lattice Boltzmann model is obtained for the low-Mach number cylindrical Couette flows. In the hydrodynamic limit, the present solution is in excellent agreement with the result of the Navier-Stokes equation. Since the kinetic boundary condition is used, the present analytical solution using nine discrete velocities can describe flows with the Knudsen number up to 0.1. Meanwhile, the comparison with the simulation data obtained by the direct simulation Monte Carlo method shows that higher-order lattice Boltzmann models with more discrete velocities are needed for highly rarefied flows.

KW - lattice Boltzmann model

KW - analytical solution

KW - axi-symmetric flow

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-2

ER -

Analytical solution of axi-symmetrical lattice Boltzmann model for cylindrical Couette flows

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Keywords

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Novel multi-relaxation time order models for Lattice Bolztman Simulation of Gas Flows

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Analytical solution of axi-symmetrical lattice Boltzmann model for cylindrical Couette flows

Abstract

Keywords

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Other files and links

Fingerprint

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Novel multi-relaxation time order models for Lattice Bolztman Simulation of Gas Flows

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