Fields Institute Workshop on Numerical Methods for Fluid Dynamics

Carleton University, August 19-22, 2013


Denis Hinz, Tae-Yeon Kim, Eliot Fried, James J. Riley

McGill University

A priori testing of alpha regularization models as subgrid-scale closures for large-eddy simulations

Alpha-type regularization models provide theoretically attractive subgrid-scale closure approximations for large-eddy simulations of turbulent flow. We adopt the a priori testing strategy to study three different alpha regularization models, namely the Navier-Stokes-α model, the Leray-α model, and the Clark-α model. Specifically, we use high-resolution direct numerical simulation data of homogeneous isotropic turbulence to compute the mean subgrid-scale dissipation, the spatial distribution of the subgrid-scale dissipation, and the spatial distribution of elements of the subgrid-scale stress tensor. This is done for different filter parameters and different large-eddy simulation grid resolutions. Predictions of the three regularization models are compared to the exact values of the subgrid-scale stress tensor, as defined in the filtered Navier-Stokes equations. The potential of the three regularization models to provide good approximations is quantified using spatial correlation coefficients. Whereas the Clark-α model exhibits the highest spatial correlation coefficients for the subgrid-scale dissipation and the subgrid-scale stress tensor elements, the Leray-α model provides lower correlation coefficients, and the Navier-Stokes-α exhibits the lowest correlation coefficients of the three models. Our results indicate the presence of an optimal choice of the filter parameter α depending on the large-eddy simulation grid resolution.