New Dynamic Subgrid-Scale Heat Flux Models for Large-Eddy Simulation of Therman Convection based on the General Gradient Diffusion Hypothesis


  1. Wang, B-C.
  2. Yee, E.
  3. Bergstrom, J.
  4. Iida, O.
Corporate Authors
Defence R&D Canada - Suffield, Ralston ALTA (CAN)
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 FGS 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 dynamics 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.
Report Number
DRDC-SUFFIELD-SL-2007-247 — Scientific Literature
Date of publication
01 Feb 2008
Number of Pages
Hardcopy;Document Image stored on Optical Disk

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