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First Thermal and Fluids Engineering Summer Conference

ISSN: 2379-1748
ISBN: 978-1-56700-430-4

COMPARISON OF FINITE ELEMENT AND FINITE VOLUME ANALYSIS FOR ROUGH SURFACES USING MAPPED DOMAINS

DOI: 10.1615/TFESC1.cmd.012941
pages 337-351

Ashley F. Emery
Department of Mechanical Engineering, University of Washington, USA

R. J. Cochran
Applied CHT, Seattle, WA 98040


KEY WORDS: Roughness, Monte Carlo, Conduction, Penetration Depth

Abstract

The heat transfer from a domain with surface roughness to an underlying substrate is a function of the statistical nature of the roughness. It is rarely possible to characterize the conduction by an analytical expression. Consequently the simulation is usually done using Monte Carlo (MC) simulation based upon finite element or finite volume methods. For the MC simulations, each realization of the surface roughness requires a unique mesh leading to high computational costs. If the domain is mapped to a unit square or cube the mesh generation costs can be reduced. However, mapping introduces anisotropy into the modeling equations. Furthermore the mapping can be conservative or non-conservative in form, raising the question of which form is best. This paper analyses the effect of the induced anisotropy on the accuracy of finite element and finite volume methods.

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