Proposing a Numerical Solution for the 3D Heat Conduction Equation

Al-Qubeissi, Mansour (2012) Proposing a Numerical Solution for the 3D Heat Conduction Equation. In: Modelling Symposium (AMS), 2012 Sixth Asia. IEEE Conference Publications, Washington D.C., pp. 144-149. ISBN 9780769547305

[img] PDF - Submitted Version
Restricted to SRO admin only

Download (477kB)


The current paper presents a numerical technique in solving the 3D heat conduction equation. The Finite Volume method is used in the discretisation scheme. Gauss's theorem has also been employed for solving the integral parts of the general heat conduction equation in solving problems of steady and unsteady states. The proposed technique is applicable to unstructured (tetrahedral) elements for dealing with domains of complex geometries. The validation cases of the developed, FORTRAN based, heat conduction code in 1D, 2D and 3D representations have been reviewed with a grid independence check. Comparisons to the available exact solution and a commercial software solver are attached to the manuscript.

Item Type: Book Section
Keywords: Computational Fluid Dynamics; Finite Volume Method; Gauss's theorem; Heat Conduction code; Heat Transfer
Schools and Departments: School of Engineering and Informatics > Engineering and Design
Subjects: Q Science > QA Mathematics > QA0150 Algebra. Including machine theory, game theory
Q Science > QA Mathematics > QA0297 Numerical analysis
T Technology > T Technology (General) > T0055.4 Industrial engineering. Management engineering > T0057 Applied mathematics. Quantitative methods
T Technology > TJ Mechanical engineering and machinery
Related URLs:
Depositing User: Mansour Al-Qubeissi
Date Deposited: 07 Aug 2012 09:48
Last Modified: 07 Aug 2012 09:48

View download statistics for this item

📧 Request an update