Proposing a Numerical Solution for the 3D Heat Conduction Equation

Mansour Al Qubeissi

    Research output: Chapter in Book/Report/Conference proceedingConference proceedingpeer-review

    5 Citations (Scopus)

    Abstract

    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.
    Original languageEnglish
    Title of host publication 2012 Sixth Asia Modelling Symposium
    PublisherIEEE
    Pages144-149
    Number of pages6
    ISBN (Print)978-1-4673-1957-7
    DOIs
    Publication statusPublished - 19 Jul 2012
    EventSixth Asia International Conference on Mathematical Modelling and Computer Simulation - Bali, Indonesia
    Duration: 29 May 201231 May 2012

    Conference

    ConferenceSixth Asia International Conference on Mathematical Modelling and Computer Simulation
    Country/TerritoryIndonesia
    Period29/05/1231/05/12

    Keywords

    • 3D heat conduction equation

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