Evaluation of a Fourth-Order Finite-Volume Compact Scheme for LES with Explicit Filtering

ABSTRACT

The accuracy of the large-eddy simulation (LES) of turbulent flows can be increased by using high-order numerical schemes in space and time, due to a decrease in numerical errors. This work investigates a high-order compact finite-volume scheme suitable for LES. The explicit fourth-order Runge-Kutta (RK) scheme for time marching and fourth-order compact schemes for spatial derivatives using a cell-averaged approach are implemented. Different subgrid-scale models and the effect of explicit filtering in a fully turbulent channel flow are studied. In this flow, the fourth-order compact finite-volume method in space, and fourth-order RK in time in conjunction with the dynamic Smagorinsky model with explicit filter-grid size ratio of , show the best agreement with the available reference data.

F. Mashayek acknowledges the support of the U.S. National Science Foundation under grant CTS-0237951 for his contribution to this work.