Numerical simulation of flow around square cylinder using different low-Reynolds number turbulence models

Abstract

ABE-KONDOH-NAGANO, ABID, YANG-SHIH and LAUNDER-SHARMA low-Reynolds number turbulence models were applied to simulating unsteady turbulence flow around a square cylinder in different phases flow field and time-averaged unsteady flow field. Meanwhile, drag and lift coefficients of the four different low-Reynolds number turbulence models were analyzed. The simulated results of YANG-SHIH model are close to the large eddy simulation results and experimental results, and they are significantly better than those of ABE-KONDOH-NAGANO, ABID and LAUNDER-SHARMR models. The modification of the generation of turbulence kinetic energy is the key factor to a successful simulation for YANG-SHIH model, while the correction of the turbulence near the wall has minor influence on the simulation results. For ABE-KONDOH-NAGANO, ABID and LAUNDER-SHARMA models satisfactory simulation results cannot be obtained due to lack of the modification of the generation of turbulence kinetic energy. With the joint force of wall function and the turbulence models with the adoption of corrected swirl stream, flow around a square cylinder can be fully simulated with less grids by the near-wall.

Keywords

low-Reynolds number turbulence model / flow around square cylinder / numerical simulation

References

[1] LamK., GongW. Q., SoR. M. C.. Numerical simulation of cross-flow around four cylinders in an in-line square configuration [J]. Journal of Fluids and Structures, 2008, 24(1): 34-57

[2] SahaA. K., BiswasG., MuralidharK.. Three-dimensional study of flow past a square cylinder at low-Reynolds numbers [J]. International Journal of Heat and Fluid Flow, 2003, 24(1): 54-66

[3] ChengM., WhyteD. S., LouJ.. Numerical simulation of flow around a square cylinder in uniform-shear flow [J]. Journal of Fluids and Structures, 2007, 23(2): 207-226

[4] LeeS. S., BienkiewiczB.. Finite element implementation of large eddy simulation for separated flows [J]. Journal of Wind Engineering and Industrial Aerodynamics, 1998, 77(2): 603-617

[5] BourisD., BergelesG.. 2D LES of vortex shedding from a square cylinder [J]. Journal of Wind Engineering and Industrial Aerodynamics, 1999, 80(1): 31-46

[6] RodiW., FerzigerJ. H., BreuerM., PourquieM.. Status of large eddy simulation: Result of a workshop [J]. Journal of Fluids Engineering, 1997, 119(6): 248-262

[7] BoschG., RodiW.. Simulation of vortex shedding past a square cylinder with different turbulence models [J]. International Journal for Numerical Methods in Fluids, 1998, 28(4): 601-616

[8] KimuraI., HosodaT.. A non-linear k—ɛ model with realizablility for prediction of flows around bluff bodies [J]. International Journal for Numerical Methods in Fluids, 2003, 42(8): 813-837

[9] IaccarinoG., OoiA., DurbinP. A., BehniaM.. Reynolds averaged simulation of unsteady separated flow [J]. International Journal of Heat and Fluid Flow, 2003, 24(2): 147-156

[10] RodiW.. Comparison of LES and RANS calculations of the flow around bluff bodies [J]. Journal of Wind Engineering and Industrial Aerodynamics, 1997, 69/71(7/10): 55-75

[11] LübckeH., SchmidtS., RungT., ThieleF.. Comparison of LES and RANS in bluff-body flows [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2001, 89(14/15): 1471-1485

[12] AbeK., KondohT., NaganoY.. A new turbulence model for predicting fluid flow and heat transfer in separating and reattaching flows (I): Flow field calculations [J]. International Journal of Heat and Mass Transfer, 1994, 37(1): 139-151

[13] AbeK., KondohT., NaganoY.. A new turbulence model for predicting fluid flow and heat transfer in separating and reattaching flows (II): Thermal field calculations [J]. International Journal of Heat and Mass Transfer, 1995, 38(8): 1467-1481

[14] AbidR.. Evaluation of two-equation turbulence models for predicting transitional flows [J]. International Journal of Engineering Science, 1993, 31(6): 831-840

[15] YangZ., ShihT. H.. A k—ɛ model for turbulent and transitional boundary layers [C]. Near Wall Turbulent Flows, 1993, Amsterdam, Elsevier: 165-176

[16] LaunderB. E., SharmaB. I.. Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disc [J]. Letters in Heat and Mass Transfer, 1974, 1(2): 131-137

[17] DengG.-l., DuanJ.-a., ZhongJue.. 3-D numerical simulation of molten aluminum flow in feed tip nozzles of twin roll-casting [J]. Journal of Central South University: Science and Technology, 2005, 36(4): 615-620

[18] LynD. A., EinavS., RodiW., PARKJ.. A laser doppler velocimetry study of ensemble-averaged characteristics of the turbulent near wake of a square cylinder [J]. Journal of Fluid Mechanics, 1995, 304(12): 285-319

[19] DurãoD. F. G., HeitorM. V., PereiraJ. C. F.. Measurements of turbulent and periodic flows around a square cross-section cylinder [J]. Experiments in Fluids, 1988, 6(5): 298-304

[20] BourisD., BergelesG.. 2D LES of vortex shedding from a square cylinder [J]. Journal of Wind Engineering and Industrial Aerodynamics, 1999, 80(1/2): 31-46

[21] KATO M, LAUNDER B E. The modeling of turbulent flow around stationary and vibrating square cylinders [C]// Proceedings of the 9th Symposium on Turbulent Shear Flows. Kyoto, 1993: 1–6.

[22] ChenX.-chun.Analysis of turbulence flow in building environment [D], 2006, Beijing, Tsinghua University