Optimising subgrid-scale closures for spectral energy transfer in turbulent flows. (English) Zbl 1541.76049
A modeling framework for subgrid scales (SGS) in large eddy simulation is proposed for computing turbulent flows. Starting point is the local transport equation of spectral kinetic energy. Multiresolution analysis using orthogonal wavelets is then used to provide a local scale decomposition; the unresolved inter-energy transfer and the modeled SGS dissipation are evaluated. Thus an optimal SGS closure model is derived for a range of filter widths. Moreover, eddy viscosity closures are optimized for Smagorinsky and Vreman type models. For the dynamic Smagorinsky model a suboptimal behavior is shown for filter scales larger than the inertial subrange. A Clark-type model is likewise optimized. Examples for forced homogeneous isotropic turbulence illustrate the properties of the proposed models using a posteriori analysis.
Reviewer: Kai Schneider (Marseille)
MSC:
| 76F25 | Turbulent transport, mixing |
| 76F65 | Direct numerical and large eddy simulation of turbulence |
| 76M99 | Basic methods in fluid mechanics |
| 65T60 | Numerical methods for wavelets |
Keywords:
large eddy simulation; incompressible Navier-Stokes equations; wavelet multiresolution analysis; local kinetic energy transport; Smagorinsky-Vreman eddy-viscosity closure; Clark modelReferences:
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