Finite-volume optimal large-eddy simulation of isotropic turbulence

The feasibility of an optimal finite-volume large-eddy simulation (LES) model for isotropic turbulence is evaluated. This modeling approach is based on the approximation of the ideal LES by a stochastic estimate of the fluxes in a finite-volume representation of the Navier–Stokes equation. Stochastic estimation of the fluxes allows for the simultaneous treatment of Navier–Stokes, discretization and subgrid effects, yielding a compact, yet accurate scheme for the large eddy simulation of isotropic turbulence. Both global and local models based on optimal finite-volume LES are developed and used in a priori tests guiding the choice of stencil geometry and model inputs. The most promising models in the a priori exams are tested in actual simulations (i.e., a posteriori) and the results compared with those for filtered direct numerical simulation (DNS) and the dynamic Smagorinsky model. The a posteriori performance of the optimal finite-volume LES models, evaluated by the energy spectrum and third-order struc...

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