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Simulation of the Kolmogorov inertial subrange using an improved subgrid model. (English) Zbl 0718.76050

Summary: A subgrid model is developed and applied to a large-eddy simulation of the Kolmogorov inertial subrange. Currently popular subgrid models are derived from models of the turbulent energy equation, resulting in a significant loss of information as a consequence of the statistical averaging performed in going from the Navier-Stokes equation to the energy equation. The subgrid model developed here is based directly on a model of the Navier-Stokes equation. The improved subgrid model contains two terms: an eddy viscosity and a stochastic force. These terms are computed from the EDQNM stochastic model representation of the momentum equation, and from a fully resolved direct numerical simulation. Use of the subgrid model in a forced large-eddy simulation results in an energy spectrum that exhibits a clear \(k^{-5/3}\) power-law subrange with an approximate value \(Ko=2.1\) of the Kolmogorov constant.

MSC:

76F05 Isotropic turbulence; homogeneous turbulence
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