LES Modelings based on the Lagrangian Renormalized Approximation
A systematic way for formulating large-eddy simulation (LES) models based on the Lagrangian renormalized approximation is presented. A spectral LES to simulate the energy spectrum and a probabilistic LES to simulate both the energy spectrum and the error spectrum are formulated for 3-dimensional turbulence and 2-dimensional turbulence with the inverse energy cascading range. The derived models are free from any ad hoc parameters. The models are verified using high resolution nu-merical simulations with 5123 grid points for 3-dimension and 10243 for 2-dimension.
KeywordsEnergy Spectrum Direct Numerical Simulation Eddy Viscosity Subgrid Scale Inertial Subrange
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