Benchmark on the Aerodynamics of a Rectangular 5:1 Cylinder: An overview after the first four years of activity

Abstract In July 2008, a benchmark study on the aerodynamics of a stationary rectangular cylinder with chord-to-depth ratio equal to 5 (BARC) was launched. This paper gives an outline of the state of the art on the aerodynamics of 5:1 rectangular cylinders prior to the starting of BARC, and summarizes the results obtained by the contributors during the first four years of activity. The results of about 70 realizations of the BARC flow configuration obtained under a nominally common set-up in both wind tunnel experiments and numerical simulations are compared among themselves and with the data available in the literature prior to BARC, in terms of bulk parameters, flow and aerodynamic load statistics, pressure and force spanwise correlations. It is shown that the near wake flow, the base pressure and, hence, the drag coefficient obtained in the different flow realizations are in very good agreement. Conversely, the flow features along the cylinder lateral surfaces and, hence, the lift, are strongly sensitive to set-up and modelling, leading to a significant dispersion of both wind tunnel measurements and numerical predictions. Finally, a possible asymmetry of the time averaged flow has been recognized both in wind tunnel tests and in numerical simulations.

[1]  G. Schewe Nonlinear flow-induced resonances of an H-shaped section , 1989 .

[2]  Luca Bruno,et al.  Simulated flow around a rectangular 5:1 cylinder: Spanwise discretisation effects and emerging flow features , 2012 .

[3]  L. Bruno,et al.  3D flow around a rectangular cylinder: A computational study , 2010 .

[4]  Luca Bruno,et al.  Effect of the spanwise features of the computational domain on the simulated flow around a rectangular 5:1 cylinder , 2011 .

[5]  武人 溝田,et al.  長方形断面柱のストローハル数と背圧係数 : 断面辺長比が1~9の場合 , 1983 .

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

[7]  K. Kuwahara,et al.  Computational separated-reattaching flows around a rectangular cylinder , 1993 .

[8]  P. Bearman On vortex shedding from a circular cylinder in the critical Reynolds number régime , 1969, Journal of Fluid Mechanics.

[9]  Günter Schewe Influence of the Reynolds-Number on Flow Induced Vibrations of Generic Bridge Sections , 2006 .

[10]  I. S. Gartshore,et al.  Spanwise correlations of pressure on a rigid square section cylinder , 1992 .

[11]  M. Matsumoto,et al.  Spanwise coherent structure of wind turbulence and induced pressure on rectangular cylinders , 2009 .

[12]  Y. Nakamura,et al.  Flutter and vortex excitation of rectangular prisms in pure torsion in smooth and turbulent flows , 1982 .

[13]  B. J. Vickery Fluctuating lift and drag on a long cylinder of square cross-section in a smooth and in a turbulent stream , 1966, Journal of Fluid Mechanics.

[14]  G. Schewe On the force fluctuations acting on a circular cylinder in crossflow from subcritical up to transcritical Reynolds numbers , 1983, Journal of Fluid Mechanics.

[15]  Francesco Ricciardelli,et al.  Effects of the vibration regime on the spanwise correlation of the aerodynamic forces on a 5:1 rectangular cylinder , 2010 .

[16]  Alain Dervieux,et al.  Variational multiscale large-eddy simulations of the flow past a circular cylinder: Reynolds number effects , 2011 .

[17]  Ahsan Kareem,et al.  Simulation of the Influence of Aspect Ratio on the Aerodynamics of Rectangular Prisms , 2013 .

[18]  R. Parker,et al.  Effects of sound on flow separation from blunt flat plates , 1983 .

[19]  Ahsan Kareem,et al.  Anatomy of Turbulence Effects on the Aerodynamics of an Oscillating Prism , 2009 .

[20]  M. Matsumoto,et al.  Spanwise Coherence Characteristics of Surface Pressure Field on 2-D Bluff Bodies , 2001 .

[21]  Luca Bruno,et al.  Probabilistic evaluation of the aerodynamic properties of a bridge deck , 2011 .

[22]  Yuji Ohya,et al.  Experiments on vortex shedding from flat plates with square leading and trailing edges , 1991, Journal of Fluid Mechanics.

[23]  Ahsan Kareem,et al.  Parametric study of flow around rectangular prisms using LES , 1998 .

[24]  I. S. Gartshore,et al.  Direct measurements of oscillating lift on a rigid square section cylinder in a turbulent stream , 1988 .

[25]  Fu-jun Wang,et al.  Quantitative numerical analysis of flow past a circular cylinder at Reynolds number between 50 and 200 , 2013 .

[26]  Hiroshi Nakaguchi,et al.  An Experimental Study on Aerodynamic Drag of Rectangular Cylinders , 1968 .

[27]  Yasuharu Nakamura,et al.  A numerical study of vortex shedding from flat plates with square leading and trailing edges , 1992, Journal of Fluid Mechanics.

[28]  Takeshi Ishihara,et al.  Numerical study of aerodynamic characteristics of a square prism in a uniform flow , 2009 .

[29]  Yasuharu Nakamura,et al.  TORSIONAL FLUTTER OF RECTANGULAR PRISMS , 1975 .

[30]  Pierre Sagaut,et al.  On sensitivity of RANS simulations to uncertain turbulent inflow conditions , 2012 .

[31]  Claudio Mannini,et al.  Unsteady RANS modelling of flow past a rectangular cylinder: Investigation of Reynolds number effects , 2010 .

[32]  Mark C. Thompson,et al.  Flow past rectangular cylinders: receptivity to transverse forcing , 2004, Journal of Fluid Mechanics.

[33]  T. Tamura,et al.  Numerical prediction of unsteady pressures on a square cylinder with various corner shapes , 1998 .

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

[35]  Guido Buresti,et al.  Variational multiscale large-eddy simulations of the BARC flow configuration , 2011 .

[36]  Lorenzo Procino,et al.  Wind tunnel study on the aerodynamics of a 5:1 rectangular cylinder in smooth flow , 2011 .

[37]  Luigi Carassale,et al.  Flow-induced actions on cylinders in statistically-symmetric cross flow , 2009 .

[38]  Cpw Chris Geurts,et al.  Unsteady pressure measurements on a 5:1 rectangular cylinder , 2011 .

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

[40]  Alain Dervieux,et al.  Classical and variational multiscale LES of the flow around a circular cylinder on unstructured grids , 2010 .

[41]  Yasuharu Nakamura,et al.  Vortex excitation of prisms with elongated rectangular, H and [vdash ] cross-sections , 1986, Journal of Fluid Mechanics.

[42]  Francesco Ricciardelli,et al.  SECTIONAL AERODYNAMIC FORCES AND THEIR LONGITUDINAL CORRELATION ON A VIBRATING 5 : 1 RECTANGULAR CYLINDER , 2008 .

[43]  T. Gerhold,et al.  Calculation of Complex Three-Dimensional Configurations Employing the DLR-tau-Code , 1997 .

[44]  O. Posdziech,et al.  A systematic approach to the numerical calculation of fundamental quantities of the two-dimensional flow over a circular cylinder , 2007 .

[45]  Günter Schewe,et al.  Reynolds-number-effects in flow around a rectangular cylinder with aspect ratio 1:5 , 2013 .

[46]  W. Rodi Comparison of LES and RANS calculations of the flow around bluff bodies , 1997 .

[47]  A. Okajima Strouhal numbers of rectangular cylinders , 1982, Journal of Fluid Mechanics.

[48]  A. N. Stokes,et al.  Flow-resonant sound interaction in a duct containing a plate, II: Square leading edge , 1986 .

[49]  Mark C. Thompson,et al.  SELF-SUSTAINED OSCILLATIONS IN FLOWS AROUND LONG BLUNT PLATES , 2001 .

[50]  A. Wada,et al.  Numerical study of pressure fluctuations on a rectangular cylinder in aerodynamic oscillation , 1995 .

[51]  Yasuharu Nakamura,et al.  Experimental and numerical analysis of vortex shedding from elongated rectangular cylinders at low Reynolds numbers 200-103 , 1996 .

[52]  Yoshiaki Itoh,et al.  AERODYNAMIC CHARACTERISTICS AND FLOW STRUCTURES AROUND A RECTANGULAR CYLINDER WITH A SECTION OF VARIOUS DEPTH/BREADTH RATIOS , 1996 .

[53]  Claudio Mannini,et al.  Three-Dimensional Numerical Simulation of Flow Around a 1 : 5 Rectangular Cylinder , 2009 .

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

[55]  Peter R. Voke,et al.  Flow Past a Square Cylinder: Test Case LES2 , 1997 .

[56]  Luca Bruno,et al.  Large-eddy simulations of a Benchmark on the Aerodynamics of a Rectangular 5:1 Cylinder , 2011 .

[57]  C. Knisely STROUHAL NUMBERS OF RECTANGULAR CYLINDERS AT INCIDENCE: A REVIEW AND NEW DATA , 1990 .

[58]  Claudio Mannini,et al.  Numerical study on the three-dimensional unsteady flow past a 5:1 rectangular cylinder using the DES approach , 2011 .

[59]  H. Shirato,et al.  Coherent Structure of Surface Pressures on 2-D Rectangular Cylinders in Turbulent Flow , 2010 .

[60]  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.

[61]  Claudio Mannini,et al.  Numerical investigation on the three-dimensional unsteady flow past a 5:1 rectangular cylinder , 2011 .