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RESEARCH PAPERS: Conduction Heat Transfer

Computation of Anisotropic Conduction Using Unstructured Meshes

[+] Author and Article Information
J. Y. Murthy, S. R. Mathur

Fluent, Inc., Ten Cavendish Court, Lebanon, NH 03766

J. Heat Transfer 120(3), 583-591 (Aug 01, 1998) (9 pages) doi:10.1115/1.2824315 History: Received September 09, 1996; Revised March 30, 1998; Online December 05, 2007

Abstract

This paper presents a conservative finite volume scheme for computing conduction heat transfer in materials with anisotropic conductivity. Unstructured solution-adaptive meshes composed of arbitrary convex polyhedra are used. Discrete energy balances are written over these polyhedra. Temperature gradients required for the evaluation of secondary diffusion fluxes are found by linear reconstruction. A fully implicit scheme is used for unsteady problems. The resulting discrete equations are solved using an algebraic multigrid scheme. Schemes for hanging-node and conformal adaption are implemented. Computations are performed using a variety of triangular and quadrilateral meshes. The results are compared to published analytical and numerical solutions and are shown to be satisfactory.

Copyright © 1998 by The American Society of Mechanical Engineers
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