Large eddy simulation of flow around a rectangular cylinder using the finite element method

In previous papers, we proposed finite element schemes based on the Petrov- Galerkin weak formulation using exponential weighting functions for solving accurately, and in a stable manner, the flow field of an incompressible vi scous fluid. In this paper, we present the Petrov-Galerkin finite element s cheme for turbulent flow fields based on large eddy simulation using the st andard Smagorinsky model with the Van Driest damping function. The filtered incompressible Navier-Stokes equations are numerically integrated in time by using a fractional step strategy with second-order accurate Adams-Bashfo rth explicit differencing for both convection an diffusion terms. In order to evaluate more accurately a mass matrix, the well-known multi-pass algori thm was also adopted in this study. Numerical results obtained are compared through flow around a rectangular cylinder at Re = 22,000 with the experim ental data and other existing numerical data.