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Abstract
The one-dimensional stochastic Burgers equation has the remarkable ability to mimic some of the fundamental statistical and dynamical properties of three-dimensional fully developed turbulence. In this study, we numerically investigate the competence of commonly used dynamic eddy-viscosity-type subgrid-scales (SGSs) models in large-eddy simulation of this equation. We found that the inertial-range characteristics of Burgers turbulence (also known as Burgulence) are well preserved by this class of SGS models.
Acknowledgements
The author is grateful to Alberto Scotti, Efi Foufoula-Georgiou, and Fernando Porté-Agel for many thought-provoking discussions. This work was partially funded by the National Science Foundation (ATM-0748606) and the Texas Advanced Research Program (003644-0003-2006) grants.
Notes
1. These SGS models are widely used by the atmospheric boundary layer turbulence community (see [Citation31] and the references therein).
2. Estimation of C n for n > 3 typically requires extremely large sample size for achieving statistical convergence, and thus is not attempted in the present study.