Large eddy simulation of homogeneous shear flows with several subgrid-scale models

Abstract

SUMMARYIn this article, large eddy simulation is used to simulate homogeneous shear ows. The spatial discretization is accomplished by the spectral collocation method and a third-order Runge-Kutta method is used to integrate the time-dependent terms. For the estimation of the subgrid-scale stress tensor, the Smagorinsky model, the dynamic model, the scale-similarity model and the mixed model are used. Their predicting performance for homogeneous shear ow is compared accordingly. The initial Reynolds number varies from 33 to 99 and the initial shear number is 2. Evolution of the turbulent kinetic energy, the growth rate, the anisotropy component and the subgrid-scale dissipation rate is presented. In addition, the performance of several ÿlters is examined.

Very large‐scale computation of very small‐scale motions in a fully developed pipe flow

“…Large eddy simulation (LES) is one of the most common such numerical approaches and consists of the resolution of the largest turbulence scales using a purposefully selected turbulence model in order to accurately estimate the effects of the small-scale motion. Wang et al [1] adopted the LES approach for the simulation of homogeneous shear flows using four different subgrid-scale (SGS) models and four different filter definitions. For turbulent Reynolds numbers varying between 33 and 99, the calculated results highlighted the key importance of the choice of turbulence model and filter.…”