Advanced search
Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 41, 2002 - Issue 6
Submit an article Journal homepage
387
Views
55
CrossRef citations to date
0
Altmetric
Original Articles

LATTICE BOLTZMANN SCHEME FOR HYPERBOLIC HEAT CONDUCTION EQUATION

Jeng-Rong Ho Department of Mechanical Engineering, National Chung Cheng University, Chia-Yi, Taiwan, Republic of China
,
Chun-Pao Kuo Department of Mechanical Engineering, National Chung Cheng University, Chia-Yi, Taiwan, Republic of China
,
Wen-Shu Jiaung Department of Mechanical Engineering, National Chung Cheng University, Chia-Yi, Taiwan, Republic of China
&
Cherng-Jyh Twu Department of Mechanical Engineering, National Chung Cheng University, Chia-Yi, Taiwan, Republic of China
Pages 591-607 | Published online: 30 Nov 2010
 
Sample our Engineering & Technology journals, sign in here to start your access, latest two full volumes FREE to you for 14 days

Abstract

An extended lattice Boltzmann (LB) equation, the lattice Boltzmann equation with a source term, is developed for the system of equations governing the hyperbolic heat conduction equation. Mathematical consistence between the proposed extended LB equation and the governing equations are accomplished by the Chapman-Enskog expansion. Four illustrative examples, with both finite and semi-infinite computational domains and subjected to linear and nonlinear boundary conditions, are simulated. All numerical predications agree very well with the existing solutions in the literature. It is also demonstrated that the present scheme is stable and free of numerical oscillations especially around the wave front, where sharp change in temperature occurs.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related Research Data

Lattice Boltzmann Method Applied to the Solution of Energy Equation of a Radiation and Non-Fourier Heat Conduction Problem
Source: Informa UK Limited
Simultaneous Retrieval of Parameters in a Transient Conduction-Radiation Problem Using a Differential Evolution Algorithm
Source: Informa UK Limited
Application of a Particle Swarm Algorithm for Parameter Retrieval in a Transient Conduction-Radiation Problem
Source: Informa UK Limited
Simulation of Conjugate Heat Transfer Using the Lattice Boltzmann Method
Source: Informa UK Limited
Transient Magneto-Thermo-Elastic Stresses in an Anisotropic Viscoelastic Solid with and Without a Moving Heat Source
Source: Informa UK Limited
Nonlinear Analysis of Rubber-Based Polymeric Materials with Thermal Relaxation Models
Source: Informa UK Limited
Thermoelastic Stresses in a Rotating Non-Homogeneous Anisotropic Body
Source: Informa UK Limited

Linking provided by 

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.