Commun. Comput. Phys., 15 (2014), pp. 388-421.

Constrained Large-Eddy Simulation of Compressible Flow Past a Circular Cylinder

Renkai Hong 1, Zhenhua Xia 1, Yipeng Shi 2*, Zuoli Xiao 2*, Shiyi Chen 2*

1 State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, P.R. China.
2 State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, P.R. China; Center for Applied Physics and Technology, College of Engineering, Peking University, Beijing 100871, P.R. China

Received 5 May 2013; Accepted 27 May 2013
Available online 10 September 2013


Compressible flow past a circular cylinder at an inflow Reynolds number of 2x0^5 is numerically investigated by using a constrained large-eddy simulation (CLES) technique. Numerical simulation with adiabatic wall boundary condition and at a free-stream Mach number of 0.75 is conducted to validate and verify the performance of the present CLES method in predicting separated flows. Some typical and characteristic physical quantities, such as the drag coefficient, the root-mean-square lift fluctuations, the Strouhal number, the pressure and skin friction distributions around the cylinder, etc. are calculated and compared with previously reported experimental data, finer-grid large-eddy simulation (LES) data and those obtained in the present LES and detached-eddy simulation (DES) on coarse grids. It turns out that CLES is superior to DES in predicting such separated flow and that CLES can mimic the intricate shock wave dynamics quite well. Then, the effects of Mach number on the flow patterns and parameters such as the pressure, skin friction and drag coefficients, and the cylinder surface temperature are studied, with Mach number varying from 0.1 to 0.95. Non-monotonic behaviors of the pressure and skin friction distributions are observed with increasing Mach number and the minimum mean separation angle occurs at a subcritical Mach number of between 0.3 and 0.5. Additionally, the wall temperature effects on the thermodynamic and aerodynamic quantities are explored in a series of simulations using isothermal wall boundary conditions at three different wall temperatures. It is found that the flow separates earlier from the cylinder surface with a longer recirculation length in the wake and a higher pressure coefficient at the rear stagnation point for higher wall temperature. Moreover, the influences of different thermal wall boundary conditions on the flow field are gradually magnified from the front stagnation point to the rear stagnation point. It is inferred that the CLES approach in its current version is a useful and effective tool for simulating wall-bounded compressible turbulent flows with massive separations.

AMS subject classifications: 76F50, 76F65, 76H99, 76G25

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Key words: Compressible flow, constrained large-eddy simulation, circular cylinder, separated flow.

*Corresponding author.
Email: (R. Hong), (Z. Xia), (Y. Shi), (Z. Xiao), (S. Chen)

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