Regularized, parameter free scale similarity type models for Large Eddy Simulation

Markus Klein, S. Ketterl, L. Engelmann, A. Kempf, H. Kobayashi

Research output: Contribution to journalArticle

Abstract

The fidelity of Large Eddy Simulations (LES) depends strongly on the closures of the sub-grid scale (SGS) stress tensor. Although it is well known that the SGS stresses in LES are not aligned with the strain rate tensor, the most widely used models are still of eddy viscosity type, due to their robust behavior in LES and reasonable performance in a posteriori testing. The unstable behavior of more advanced anisotropic models, that is typically found in LES, has been attributed to either the fact that these models provide backscatter or to the fact that they do not provide a sufficient amount of dissipation. Based on recent advances in the field, an alternative modeling strategy is suggested, which can be used to regularize an arbitrary anisotropic (e.g. scale similarity type) model. The resulting model is easy to implement, can be written in compact form and is free of model parameters. The model has been tested a-posteriori and results are presented for a Taylor-Green-Vortex, a free plane jet and a turbulent channel flow of friction Reynolds numbers 395, 590 and 934. The results are compared to well-known eddy viscosity models and when applicable, to simulations without explicit LES model. The new model exhibits good performance for a variety of mesh resolutions and for all configurations. Furthermore, a-priori analysis results in the context of liquid atomization indicate that the model might be suitable as well in more complex physical scenarios. The a-priori analysis performance of the model is found to be nearly equivalent to the underlying structural anisotropic model in terms of its correlation coefficient, but the model is free of backscatter and provides good stability in LES.

Original languageEnglish
Article number108496
JournalInternational Journal of Heat and Fluid Flow
Volume81
DOIs
Publication statusPublished - 2020 Feb

Fingerprint

Large eddy simulation
large eddy simulation
eddy viscosity
Tensors
liquid atomization
grids
Viscosity
stress tensors
Atomization
channel flow
Channel flow
correlation coefficients
closures
strain rate
Strain rate
mesh
Reynolds number
Vortex flow
friction
dissipation

Keywords

  • Large Eddy Simulations
  • Regularization
  • Scale-similarity type models

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

Regularized, parameter free scale similarity type models for Large Eddy Simulation. / Klein, Markus; Ketterl, S.; Engelmann, L.; Kempf, A.; Kobayashi, H.

In: International Journal of Heat and Fluid Flow, Vol. 81, 108496, 02.2020.

Research output: Contribution to journalArticle

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