Nonlinear Heat Conduction Equation Solved with Lattice Boltzmann Method

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2010, Vol. 27 ›› Issue (5): 699-704.

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Nonlinear Heat Conduction Equation Solved with Lattice Boltzmann Method

ZHANG Donghui¹, LIU Fanggui², ZHANG Jincun³, RUI Xiaofang⁴

1. Jiangsu University of Science & Technology, School of Naval Architecture & Ocean Engineering, Zhenjiang 212003, China;
2. Guangxi University, School of Civil Engineering, Nanning 530004, China;
3. Shandong University, School of Civil Engineering, Jinan 250061, China;
4. Hohai University, College of Water Resource and Enviroment, Nanjing 210098, China

Received:2009-08-26 Revised:2009-11-16 Online:2010-09-25 Published:2010-09-25

Abstract

Abstract: Lattice Boltzmann method is employed to study nonlinear heat conduction problems.A kind of lattice Boltzmann model is derived in details and multi-scale algorithm and macroscopic quantity are selected.It is proposed to solve transient responses of nonlinear heat conduction problems.The relation between heat conductivity and temperature meets the multi-polynomial function.Different parameters are considered to verify feasibility of the proposed method.Simulation results are illustrated with comparison in linear case.

Key words: lattice Boltzmann method, nonlinear, heat conduction equation

CLC Number:

TK121

ZHANG Donghui, LIU Fanggui, ZHANG Jincun, RUI Xiaofang. Nonlinear Heat Conduction Equation Solved with Lattice Boltzmann Method[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 27(5): 699-704.

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Nonlinear Heat Conduction Equation Solved with Lattice Boltzmann Method

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