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New dynamic subgrid-scale heat flux models for large-eddy simulation of thermal convection based on the general gradient diffusion hypothesis

Published online by Cambridge University Press:  14 May 2008

BING-CHEN WANG ,
EUGENE YEE ,
DONALD J. BERGSTROM  and
OAKI IIDA
BING-CHEN WANG
Affiliation:
Defence Research & Development Canada – Suffield, P.O. Box 4000, Medicine Hat, AB, T1A 8K6, Canada bingchen.wang@drdc-rddc.gc.ca, eugene.yee@drdc-rddc.gc.ca
EUGENE YEE
Affiliation:
Defence Research & Development Canada – Suffield, P.O. Box 4000, Medicine Hat, AB, T1A 8K6, Canada bingchen.wang@drdc-rddc.gc.ca, eugene.yee@drdc-rddc.gc.ca
DONALD J. BERGSTROM
Affiliation:
Department of Mechanical Engineering, University of Saskatchewan, 57 Campus Drive, Saskatoon, S7N 5A9, SK, Canada don.bergstrom@usask.ca
OAKI IIDA
Affiliation:
Department of Mechanical Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466-8555, Japan iida.oaki@nitech.ac.jp
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Abstract

Three new dynamic tensor thermal diffusivity subgrid-scale (SGS) heat flux (HF) models are proposed for large-eddy simulation of thermal convection. The constitutive relations for the proposed modelling approaches represent the most general explicit algebraic formulations possible for the family of SGS HF models constructed using the resolved temperature gradient and SGS stress tensor. As a result, these three new models include a number of previously proposed dynamic SGS HF models as special cases. In contrast to the classical dynamic eddy thermal diffusivity SGS HF model, which strictly requires the SGS heat flux be aligned with the negative of the resolved temperature gradient, the three new models proposed here admit more degrees of freedom, and consequently provide a more realistic geometrical and physical representation of the SGS HF vector. To validate the proposed models, numerical simulations have been performed based on two benchmark test cases of neutrally and unstably stratified horizontal channel flows.

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Type
Papers
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Journal of Fluid Mechanics , Volume 604 , 10 June 2008 , pp. 125 - 163
Copyright
Copyright © Cambridge University Press 2008

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