Bluff-body flow simulations using hybrid RANS/LES.

The Detached Eddy Simulation (DES) and steady-state Reynolds-Averaged Navier-Stokes (RANS) turbulence modeling approaches are examined for the incompressible flow over a square cross-section cylinder at a Reynolds number of 21,400. A compressible flow code is used which employes a second-order Roe upwind spatial discretization. Efforts are made to assess the numerical accuracy of the DES predictions with regards to statistical convergence, iterative convergence, and temporal and spatial discretization error. Three-dimensional DES simulations compared well with two-dimensional DES simulations, suggesting that the dominant vortex shedding mechanism is effectively two-dimensional. The two-dimensional simulations are validated via comparison to experimental data for mean and RMS velocities as well as Reynolds stress in the cylinder wake. The steady-state RANS models significantly overpredict the size of the recirculation zone, thus underpredicting the drag coefficient relative to the experimental value. The DES model is found to give good agreement with the experimental velocity data in the wake, drag coefficient, and recirculation zone length.

[1]  Sangsan Lee,et al.  Unsteady aerodynamic force prediction on a square cylinder using k−ε turbulence models , 1997 .

[2]  S. Imlay,et al.  An efficient implicit method for solving viscous multi-stream nozzle/afterbody flow fields , 1986 .

[3]  S. Vengadesan,et al.  On the influence of numerical schemes and subgrid–stress models on large eddy simulation of turbulent flow past a square cylinder , 2002 .

[4]  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.

[5]  C. J. Roy,et al.  Methodology for Turbulence Model Validation: Application to Hypersonic Flows , 2003 .

[6]  Philippe R. Spalart,et al.  Detached-eddy simulation of an airfoil at high angle of attack , 1999 .

[7]  Walker,et al.  Verification of computational aerodynamic predictions for complex hypersonic vehicles using the INCA{trademark} code , 1995 .

[8]  C. G. Speziale Turbulence modeling for time-dependent RANS and VLES : a review , 1998 .

[9]  P. Moin,et al.  A dynamic subgrid‐scale eddy viscosity model , 1990 .

[10]  P. Roe Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .

[11]  P. Spalart A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[12]  Yasutaka Nagano,et al.  Improved Form of the k-ε Model for Wall Turbulent Shear Flows , 1987 .

[13]  Jeffrey L. Payne,et al.  Implementation of a parallel algorithm for thermo-chemical nonequilibrium flow simulations , 1995 .

[14]  Hyun-Moo Koh,et al.  Finite element formulation for the analysis of turbulent wind flow passing bluff structures using the RNG k−ε model , 2002 .

[15]  Hervé Jeanmart,et al.  On the comparison of turbulence intensities from large-eddy simulation with those from experiment or direct numerical simulation , 2002 .

[16]  P. Moin,et al.  Numerical Simulation of Turbulent Flows , 1984 .

[17]  Manuel V. Heitor,et al.  Measurements of turbulent and periodic flows around a square cross-section cylinder , 1988 .

[18]  Christopher J. Roy,et al.  Navier-Stokes and DSMC simulations for hypersonic laminar shock-shock interaction flows , 2002 .

[19]  Kenji Shimada,et al.  APPLICATION OF A MODIFIED k–ε MODEL TO THE PREDICTION OF AERODYNAMIC CHARACTERISTICS OF RECTANGULAR CROSS-SECTION CYLINDERS , 2002 .

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

[21]  P. Spalart Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach , 1997 .

[22]  L. Davidson,et al.  Large Eddy Simulation of Flow Past a Square Cylinder: Comparison of Different Subgrid Scale Models , 2000 .

[23]  Wolfgang Rodi,et al.  Simulation of vortex shedding past a square cylinder with different turbulence models , 1998 .

[24]  Christopher J. Roy,et al.  Verification and Validation for Laminar Hypersonic Flowfields , 2000 .

[25]  M. Lesieur,et al.  New Trends in Large-Eddy Simulations of Turbulence , 1996 .

[26]  Joel H. Ferziger,et al.  New approximate boundary conditions for large eddy simulations of wall-bounded flows , 1989 .

[27]  Masud Behnia,et al.  Reynolds averaged simulation of unsteady separated flow , 2003 .

[28]  Ugo Piomelli,et al.  Large-eddy simulation: achievements and challenges , 1999 .

[29]  K. Squires,et al.  LES and DES investigations of turbulent flow over a sphere , 2000 .

[30]  Seokkwan Yoon,et al.  An LU-SSOR scheme for the Euler and Navier-Stokes equations , 1987 .

[31]  Wolfgang Rodi,et al.  Large-Eddy Simulations of the Flow past Bluff Bodies: State-of-the Art. , 1998 .

[32]  F. Menter Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .

[33]  S. Arunajatesan,et al.  TOWARDS HYBRID LES-RANS COMPUTATIONS OF CAVITY FLOWFIELDS" , 2000 .

[34]  J. L. Payne,et al.  Massively parallel computational fluid dynamics calculations for aerodynamics and aerothermodynamics applications , 1998 .

[35]  D. Wilcox Turbulence modeling for CFD , 1993 .