Title: Recent progress in dynamic tensor diffusivity subgrid-scale modelling for LES of turbulent heat transfer

Authors: Bing-Chen Wang, Qian-Qiu Xun, Donald J. Bergstrom, Eugene Yee

Addresses: Department of Mechanical and Manufacturing Engineering, University of Manitoba, Winnipeg, R3T 5V6, MB, Canada. ' Department of Mechanical and Manufacturing Engineering, University of Manitoba, Winnipeg, R3T 5V6, MB, Canada. ' Department of Mechanical Engineering, University of Saskatchewan, 57 Campus Drive, Saskatoon, SK, S7N 5A9, Canada. ' Defence R&D Canada – Suffield, P.O. Box 4000, STN Main, Medicine Hat, AB, T1A 8K6, Canada

Abstract: In this paper, we review the recent progress in dynamic Subgrid-Scale (SGS) Heat-Flux (HF) modelling for Large-Eddy Simulation (LES) of turbulent thermal convection. A general framework applied towards the development of advanced explicit algebraic dynamic tensor diffusivity SGS HF models will be provided. Most of the currently available explicit algebraic SGS HF models based on a symmetrical tensor diffusivity can be derived using this general framework for modelling. An application of the derived SGS HF models will be illustrated with results from numerical simulations of thermal convection in vertical, horizonal, and rotating channels.

Keywords: turbulence; heat transfer; turbulent thermal convection; LES; large-eddy simulation; subgrid-scale models; dynamic tensor diffusivity; heat flux modelling.

DOI: 10.1504/PCFD.2010.034449

Progress in Computational Fluid Dynamics, An International Journal, 2010 Vol.10 No.4, pp.195 - 207

Published online: 04 Aug 2010 *

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