Turbulence modeling applied to flow over a sphere

Numerical simulations of the subcritical flow over a sphere are presented. The primary aim is to compare prediction of some of the main physics and flow parameters from solutions of the unsteady Reynolds-averaged Navier-Stokes (URANS) equations, large-eddy simulation (LES), and detached-eddy simulation (DES). URANS predictions are obtained using two-layer κ-e, κ-ω, ν 2 -f, and the Spalart-Allmaras model. The dynamic eddy viscosity model is used in the LES. DES is a hybrid technique in which the closure is a modification to the Spalart-Allmaras model, reducing to RANS near solid boundaries and LES in the wake. The techniques are assessed by evaluating simulation results against experimental measurements, as well as through their ability to resolve time-dependent features of the flow related to vortex shedding. Simulation are performed at a Reynolds number of 10 4 , where laminar boundary-layer separation occurs at approximately 83 deg

[1]  D. Wilcox Reassessment of the scale-determining equation for advanced turbulence models , 1988 .

[2]  V. C. Patel,et al.  Near-wall turbulence models for complex flows including separation , 1988 .

[3]  Lars Davidson,et al.  Numerical simulation of vortex shedding past triangular cylinders at high Reynolds number using a k‐ε turbulence model , 1993 .

[4]  P. Spalart Strategies for turbulence modelling and simulations , 2000 .

[5]  S. Orszag,et al.  Numerical investigation of transitional and weak turbulent flow past a sphere , 2000, Journal of Fluid Mechanics.

[6]  Fotis Sotiropoulos,et al.  Prediction of turbulent flow through a transition duct using a second-moment closure , 1994 .

[7]  Fotis Sotiropoulos,et al.  A primitive variable method for the solution of three-dimensional incompressible viscous flows , 1992 .

[8]  E. Achenbach,et al.  Experiments on the flow past spheres at very high Reynolds numbers , 1972, Journal of Fluid Mechanics.

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

[10]  P. Moin,et al.  Suitability of upwind-biased finite difference schemes for large-eddy simulation of turbulent flows , 1997 .

[11]  Fotis Sotiropoulos,et al.  Application of Reynolds-stress transport models to stern and wake flows , 1995 .

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

[13]  H. Sakamoto,et al.  A STUDY ON VORTEX SHEDDING FROM SPHERES IN A UNIFORM FLOW , 1990 .

[14]  Wolfgang Rodi,et al.  On the Simulation of Turbulent Flow Past Bluff Bodies , 1993 .

[15]  P. Moin,et al.  Numerical experiments on the flow past A circular cylinder at sub-critical reynolds number , 1994 .

[16]  P. Durbin SEPARATED FLOW COMPUTATIONS WITH THE K-E-V2 MODEL , 1995 .

[17]  D. Drikakis Development and implementation of parallel high resolution schemes in 3D flows over bluff bodies , 1996 .

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

[19]  William W. Willmarth,et al.  Some experimental results on sphere and disk drag , 1971 .

[20]  V. C. Patel,et al.  Flow past a sphere up to a Reynolds number of 300 , 1999, Journal of Fluid Mechanics.

[21]  V. C. Patel,et al.  Numerical Model for Simulation of Pump-Intake Flow and Vortices , 1998 .

[22]  Fotis Sotiropoulos,et al.  Toward the simulation of complex 3D shear flows using unsteady statistical turbulence models , 2004 .

[23]  C. Meneveau,et al.  A Lagrangian dynamic subgrid-scale model of turbulence , 1994, Journal of Fluid Mechanics.

[24]  George Em Karniadakis,et al.  Direct and large-eddy simulations of axisymmetric wakes , 1993 .

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

[26]  F. Sotiropoulos,et al.  Flow in Curved Ducts of Varying Cross-Section , 1992 .

[27]  Philippe R. Spalart,et al.  Navier-Stokes simulation of shedding turbulent flow past a circular cylinder and a cylinder with backward splitter plate , 1996 .

[28]  Philippe R. Spalart,et al.  Detached-Eddy Simulations Past a Circular Cylinder , 2000 .

[29]  W. Rodi,et al.  Calculation of Vortex Shedding Past a Square Cylinder with Various Turbulence Models , 1993 .

[30]  S. Taneda,et al.  Visual observations of the flow past a sphere at Reynolds numbers between 104 and 106 , 1978, Journal of Fluid Mechanics.

[31]  Dean R. Chapman,et al.  Computational Aerodynamics Development and Outlook , 1979 .