Large eddy simulation of flow around a rectangular cylinder

A large eddy simulation (LES) of turbulent flow around a stationary rectangular cylinder at high Reynolds number of 2.2 × 104 is conducted as the first step to prove the applicability of LES to practical engineering problems. Time-averaged and phase-averaged velocities and turbulent stresses are obtained and they are compared with the experimental data. To investigate mesh dependence on computational results of the LES, two kinds of grid resolution are used. In addition, the effect of a second-order upwind scheme QUICK for convection terms is also investigated due to its dependence on grid resolution. The drag coefficients, the base pressure coefficients and Strouhal numbers are in fairly good agreement with the experimental results, while the computational results show that the artificial dissipative and dispersive effect of QUICK is large in the vicinity of the cylinder in our computation. Thus, it is necessary to use higher-order upwind schemes to reduce the numerical errors, since it is effective in applying LES to practical engineering problems with complicated geometry.

[1]  Anwar Ahmed,et al.  On streamwise vortices in turbulent wakes of cylinders , 1993 .

[2]  C. W. Hirt,et al.  Calculating three-dimensional flows around structures and over rough terrain☆ , 1972 .

[3]  B. J. Vickery Fluctuating lift and drag on a long cylinder of square cross-section in a smooth and in a turbulent stream , 1966, Journal of Fluid Mechanics.

[4]  Toshio Kobayashi,et al.  Numerical Analysis on Outflow Boundary Condition of Vortex Convection with Uniform Mean Flow. , 1992 .

[5]  Luis P. Bernal,et al.  Streamwise vortex structure in plane mixing layers , 1986, Journal of Fluid Mechanics.

[6]  S. Murakami,et al.  Numerical study on flow past 2D square cylinder by Large Eddy Simulation: Comparison between 2D and 3D computations , 1993 .

[7]  J. Lumley,et al.  A First Course in Turbulence , 1972 .

[8]  J. Deardorff A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers , 1970, Journal of Fluid Mechanics.

[9]  Shmuel Einav,et al.  A laser-Doppler velocimetry study of ensemble-averaged characteristics of the turbulent near wake of a square cylinder , 1995, Journal of Fluid Mechanics.

[10]  J. Ferziger,et al.  Evaluation of subgrid-scale models using an accurately simulated turbulent flow , 1979, Journal of Fluid Mechanics.

[11]  G. Karniadakis,et al.  Three-dimensional dynamics and transition to turbulence in the wake of bluff objects , 1992, Journal of Fluid Mechanics.

[12]  Akira Yoshizawa,et al.  Eddy‐viscosity‐type subgrid‐scale model with a variable Smagorinsky coefficient and its relationship with the one‐equation model in large eddy simulation , 1991 .

[13]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[14]  Parviz Moin,et al.  The structure of two-dimensional separation , 1990, Journal of Fluid Mechanics.