Modeling Multi-point Correlations in Wall-Bounded Turbulence
In large eddy simulation (LES), one is generally not interested in the large-scale or filtered quantities computed in the simulation, but rather the corresponding characteristics of the underlying real turbulence. One approach to reconstructing the statistics of turbulence from the filtered statistics of an LES is to employ models for the small separation multi-point velocity correlations, which can be parameterized using the statistics of the LES. This has been employed to good effect in isotropic turbulence, but to employ this technique for near-wall turbulent shear flows requires a model for the anisotropy and inhomogeneity in the correlations. Here we explore the use of multi-point correlation models in LES modeling and reconstruction, and propose a anisotropy/inhomogeneity model for the two-point second-order correlation.
KeywordsLarge Eddy Simulation Isotropic Turbulence Inertial Range Velocity Correlation Turbulent Shear Flow
The financial support of the National Science Foundation, the Air Force Office of Scientific Research and the National Aeronautics and Space Administration are gratefully acknowledged. In addition, we would like to thank Profs. Javier Jimenez and Ron Adrian for many helpful discussions of near-wall turbulence.
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