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Proposing a Numerical Solution for the 3D Heat Conduction Equation

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posted on 2023-06-08, 12:08 authored by Mansour Al-Qubeissi
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.

History

Publication status

  • Published

File Version

  • Submitted version

Publisher

IEEE Conference Publications

Page range

144-149

Pages

238.0

Event type

conference

Book title

Modelling Symposium (AMS), 2012 Sixth Asia

Place of publication

Washington D.C.

ISBN

9780769547305

Department affiliated with

  • Engineering and Design Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-08-07

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