Partially Averaged Navier–Stokes (PANS) Method for Turbulence Simulations—Flow Past a Square Cylinder

Journal of Fluids Engineering, Transactions of the ASME - Tập 132 Số 12 - 2010
Eun-Hwan Jeong1, Sharath S. Girimaji1
1Department of Aerospace Engineering, Texas A&M University, College Station, TX 77845

Tóm tắt

The partially averaged Navier–Stokes (PANS) approach is a bridging closure model intended for any level of resolution between the Reynolds averaged Navier–Stokes (RANS) method and direct numerical simulations. In this paper, the proposed closure model is validated in the flow past a square cylinder. The desired ratio of the modeled-to-resolved scales in the PANS closure is achieved by appropriately specifying two bridging parameters: the ratios of unresolved-to-total kinetic energy (fk) dissipation (fε). PANS calculations of different bridging parameter values are performed and the results are compared with experimental data and large-eddy simulations. The Strouhal number(St), mean/root-mean-square (RMS) drag coefficient (CD), RMS lift coefficient (CL), mean velocity profiles, and various turbulent stresses are investigated. The results gradually improve from the RANS level of accuracy to a close agreement with the experimental results with decreasing value of the bridging parameter fk. Overall, the results indicate that the PANS method clearly satisfies the basic tenets of a bridging model: (i) provides a meaningful turbulence closure at any modeled-to-resolved scale ratio and (ii) yields improved accuracy with increasing resolution (decreasing modeled-to-resolved ratio).

Từ khóa


Tài liệu tham khảo

Song, Numerical Simulation of Flow Past a Square Cylinder Using Partially-Averaged Navier-Stokes Model, J. Wind. Eng. Ind. Aerodyn., 97, 37, 10.1016/j.jweia.2008.11.004

Frendi, Flow Past a Backward-Facing Step: Comparison of PANS, DES and URANS Results With Experiments, International Journal of Computational Methods in Engineering Science and Mechanics, 8, 23, 10.1080/15502280601006207

Tosh, Partially Averaged Navier–Stokes: A New Turbulence Model for Unsteady Flows With Application to Acoustics, 10.2514/6.2005-2987

Spalart, Trends in Turbulence Treatments, 10.2514/6.2000-2306

Khorrami, Time Accurate Simulations and Acoustic Analysis of Slat Free Shear Layer, AIAA J., 40, 1284, 10.2514/2.1817

Batten, LNS—An Approach Towards Embedded LES, 10.2514/6.2002-427

Speziale, Computing Non-Equilibrium Flows With Time-Dependant RANS and VLES, 15th ed.

Girimaji, Partially-Averaged Navier–Stokes Method for Turbulence: A Reynolds-Averaged Navier–Stokes to Direct Numerical Simulation Bridging Method, ASME J. Appl. Mech., 73, 413, 10.1115/1.2151207

Girimaji, PANS Method for Turbulence: Fixed Point Analysis and Comparison With URANS, ASME J. Appl. Mech., 73, 422, 10.1115/1.2173677

Abdol-Hamid, K. S., and Girimaji, S. S., 2004, “A Two-Stage Procedure Toward the Efficient Implementation of PANS and Other Hybrid Turbulence Models,” Report No. NASA/TM 2004-213260.

Rodi, Status of Large Eddy Simulation: Result of Workshop, ASME J. Fluids Eng., 119, 248, 10.1115/1.2819128

Voke, Flow Past Square Cylinder: Test Case LES2, ERCOFTAC Series: Direct and Large Eddy Simulation II

Sohankar, Large Eddy Simulation of Flow Past a Square Cylinder: Comparison of Different Subgrid Scale Models, ASME J. Fluids Eng., 122, 39, 10.1115/1.483224

Germano, Turbulence: The Filtering Approach, J. Fluid Mech., 238, 325, 10.1017/S0022112092001733

Norberg, Flow Around Rectangular Cylinders: Pressure Forces and Wake Frequencies, J. Wind. Eng. Ind. Aerodyn., 49, 187, 10.1016/0167-6105(93)90014-F

Lakshmipathy, Extension of Boussinessq Turbulence Constitutive Relation for Bridging Models, J. Turbul., 8, 1, 10.1080/14685240701420478

McLean, Spanwise Correlations of Pressure on a Rigid Square Section Cylinder, J. Wind. Eng. Ind. Aerodyn., 41–44, 779

Bearman, An Experimental Study of Pressure Fluctuations on Fixed and Oscillating Square-Section Cylinders, J. Fluid Mech., 119, 297, 10.1017/S0022112082001360

Luo, Effects of Incidence and Afterbody Shape on Flow Past Bluff Cylinders, J. Wind. Eng. Ind. Aerodyn., 53, 375, 10.1016/0167-6105(94)90092-2

Durão, Measurements of Turbulent and Periodic Flows Around a Square Cross-Section Cylinder, Exp. Fluids, 6, 298, 10.1007/BF00538820

Lyn, A Laser-Doppler Velocimetry Study of the Ensemble-Averaged Characteristics of the Turbulent Near Wake of a Square Cylinder, J. Fluid Mech., 304, 285, 10.1017/S0022112095004435

Franke, Calculation of Vortex Shedding Past a Square Cylinder With Various Turbulence Models, Proceedings of the Eighth Symposium on Turbulent Shear Flows, 10.1007/978-3-642-77674-8_14

Murakami, On Turbulent Vortex Shedding Flow Past 2D Square Cylinder Predicted by CFD, J. Wind. Eng. Ind. Aerodyn., 54–55, 191, 10.1016/0167-6105(94)00043-D

Rodi, Comparison of LES and RANS Calculation of the Flow Around Bluff Bodies, J. Wind. Eng. Ind. Aerodyn., 69–71, 55, 10.1016/S0167-6105(97)00147-5

Thông tin
: []
Thông tin xuất bản

Journal of Fluids Engineering, Transactions of the ASME

Tập 132 Số 12

Thông tin tác giả