Title :
Proposing a Numerical Solution for the 3D Heat Conduction Equation
Author :
al Qubeissi, Mansour
Author_Institution :
Eng. Dept., Univ. of Sussex, Brighton, UK
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.
Keywords :
FORTRAN; computational fluid dynamics; computational geometry; finite volume methods; grid computing; heat conduction; integral equations; iterative methods; 3D heat conduction equation; FORTRAN based heat conduction code; Gauss theorem; commercial software solver; complex geometries; computational fluid dynamics; discretisation scheme; finite volume method; grid independence check; integral equation; numerical solution; steady states; unsteady states; unstructured tetrahedral elements; Boundary conditions; Equations; Finite element methods; Heating; Mathematical model; Temperature distribution; Vectors; Computational Fluid Dynamics; Finite Volume Method; Gauss´s theorem; Heat Conduction code; Heat Transfe;
Conference_Titel :
Modelling Symposium (AMS), 2012 Sixth Asia
Conference_Location :
Bali
Print_ISBN :
978-1-4673-1957-7
DOI :
10.1109/AMS.2012.10
