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Boundary element method for thermal flows using k ‐ϵ turbulence models

Boundary element method for thermal flows using k ‐ϵ turbulence models Purpose – This paper aims to develop a multidomain boundary element method (BEM) for modeling 2D complex turbulent thermal flow using low Reynolds two‐equation turbulence models. Design/methodology/approach – The integral boundary domain equations are discretised using mixed boundary elements and a multidomain method also known as a subdomain technique. The resulting system matrix is an overdetermined, sparse block banded and solved using a fast iterative linear least squares solver. Findings – The simulation of a turbulent flow over a backward step is in excellent agreement with the finite volume method using the same turbulent model. A grid consisting of over 100,000 elements could be solved in the order of a few minutes using a 3.0 Ghz P4 and 1 GB memory indicating good efficiency. Originality/value – The paper shows, for the first time, that the BEM is applicable to thermal flows using k ‐ϵ. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Numerical Methods for Heat & Fluid Flow Emerald Publishing

Boundary element method for thermal flows using k ‐ϵ turbulence models

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Publisher
Emerald Publishing
Copyright
Copyright © 2008 Emerald Group Publishing Limited. All rights reserved.
ISSN
0961-5539
DOI
10.1108/09615530810853709
Publisher site
See Article on Publisher Site

Abstract

Purpose – This paper aims to develop a multidomain boundary element method (BEM) for modeling 2D complex turbulent thermal flow using low Reynolds two‐equation turbulence models. Design/methodology/approach – The integral boundary domain equations are discretised using mixed boundary elements and a multidomain method also known as a subdomain technique. The resulting system matrix is an overdetermined, sparse block banded and solved using a fast iterative linear least squares solver. Findings – The simulation of a turbulent flow over a backward step is in excellent agreement with the finite volume method using the same turbulent model. A grid consisting of over 100,000 elements could be solved in the order of a few minutes using a 3.0 Ghz P4 and 1 GB memory indicating good efficiency. Originality/value – The paper shows, for the first time, that the BEM is applicable to thermal flows using k ‐ϵ.

Journal

International Journal of Numerical Methods for Heat & Fluid FlowEmerald Publishing

Published: May 22, 2008

Keywords: Flow; Turbulence; Simulation; Boundary‐elements methods

References