BAIL 2006 Book of Abstracts - Institut für Numerische und ...
BAIL 2006 Book of Abstracts - Institut für Numerische und ... BAIL 2006 Book of Abstracts - Institut für Numerische und ...
W.S. ISLAM, V.R. RAGHAVAN: Numerical Simulation of High Sub-critical Reynolds Number Flow Past a Circular Cylinder ✬ ✫ Numerical Simulation of High Sub-critical Reynolds Number Flow Past a Circular Cylinder Wan Saiful Islam* and Vijay R. Raghavan** Faculty of Mechanical Engineering Kolej Universiti Teknologi Tun Hussein Onn 86400 Parit Raja, Malaysia *wsaiful@kuittho.edu.my **vijay@kuittho.edu.my ABSTRACT Few areas in fluid mechanics have received more attention than that of flow past a bluff body. In particular, flow across a circular cylinder in unconfined and confined flow is a classical problem, and has been studied experimentally, visually and numerically [1-6]. Although the geometry is apparently simple, this problem has not yielded to closed form analytical solution except at very low Reynolds numbers because of the complexity associated with adverse pressure gradients, separation, eddy shedding, recirculation and reattachment. There are a very large number of attempts reported in the literature using a variety of numerical approaches viz., finite difference, finite element and finite volume methods. However, there is room for improvement in the agreement with experiments that has been obtained hitherto [5,6]. A numerical solution that gives good agreement is also likely to be useful for benchmarking existing codes and new ones that may be written. The purpose of the present study is to find a satisfactory solution in the entire range of sub-critical Reynolds numbers for flow over a circular cylinder. In earlier attempts to establish benchmark solutions and to obtain agreement with published data over a range of Reynolds numbers, various turbulence models including large eddy simulation (LES) had been considered and both 2-D and 3-D had been tried [4-6]. The results were obtained in the form of general appearance of the wake flow, examination of the velocity magnitudes in the near-field and far-field, eddy frequencies, Strouhal numbers and detailed local distributions of pressure. However, most of these authors have carried out their work in the more convenient Speaker: ISLAM, W.S. 96 BAIL 2006 ✩ ✪
W.S. ISLAM, V.R. RAGHAVAN: Numerical Simulation of High Sub-critical Reynolds Number Flow Past a Circular Cylinder ✬ ✫ Reynolds number range of 40 to 1000 [2,3]. As one goes to higher Re ranges, results are seen to deviate progressively more widely from experimental results. In the present study simulations are performed for unsteady, two-dimensional (2-D) flow past a circular cylinder in a confined duct with appropriate blockage ratios. At Reynolds numbers as high as 100,000 the numerical solutions obtained agree remarkably well with experiments, not only in the global sense in the form of CD, but also locally in terms of pressure distribution. The paper describes how the agreement was obtained and these results might serve as a benchmark for validating CFD codes. REFERENCES 1. Achenbach, E., “Distribution of Local Pressure and Skin Friction Around a Circular Cylinder in Cross-Flow up to Re = 5×10 6 ”, Journal of Fluid Mechanics, 34, 4, 625- 639, 1968. 2. Son, J.S. and Hanratty, T.J., “Numerical Solution for the Flow around a Cylinder at Reynolds Numbers of 40, 200 and 500”, Journal of Fluid Mechanics, 35, 2, 369-386, 1969. 3. Fornberg, B., “Steady Viscous Flow Past a Circular Cylinder up to Reynolds Number 600”, Journal of Computational Physics, 61, 297-320, 1985. 4. Chou, M.-H. and Huang, W., “Numerical Study of High-Reynolds-Number Flow Past a Bluff Object”, International Journal for Numerical Methods in Fluids, 23, 711- 732, 1996. 5. Selvam, R.P., “Finite Element Modeling of Flow Around a Circular Cylinder using LES”, Journal of Wind Engineering and Industrial Aerodynamics, 67&68, 129-139, 1997. 6. Breuer, M., “Numerical and Modeling Influences on Large Eddy Simulations for the Flow Past a Circular Cylinder”, International Journal of Heat and Fluid Flow, 19, 512-521, 1998 Speaker: ISLAM, W.S. 97 BAIL 2006 ✩ ✪
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W.S. ISLAM, V.R. RAGHAVAN: Numerical Simulation <strong>of</strong> High Sub-critical Reynolds<br />
Number Flow Past a Circular Cylinder<br />
✬<br />
✫<br />
Numerical Simulation <strong>of</strong> High Sub-critical Reynolds Number Flow<br />
Past a Circular Cylinder<br />
Wan Saiful Islam* and Vijay R. Raghavan**<br />
Faculty <strong>of</strong> Mechanical Engineering<br />
Kolej Universiti Teknologi Tun Hussein Onn<br />
86400 Parit Raja, Malaysia<br />
*wsaiful@kuittho.edu.my<br />
**vijay@kuittho.edu.my<br />
ABSTRACT<br />
Few areas in fluid mechanics have received more attention than that <strong>of</strong> flow past a bluff body. In<br />
particular, flow across a circular cylinder in unconfined and confined flow is a classical problem,<br />
and has been studied experimentally, visually and numerically [1-6]. Although the geometry is<br />
apparently simple, this problem has not yielded to closed form analytical solution except at very<br />
low Reynolds numbers because <strong>of</strong> the complexity associated with adverse pressure gradients,<br />
separation, eddy shedding, recirculation and reattachment. There are a very large number <strong>of</strong><br />
attempts reported in the literature using a variety <strong>of</strong> numerical approaches viz., finite difference,<br />
finite element and finite volume methods. However, there is room for improvement in the<br />
agreement with experiments that has been obtained hitherto [5,6]. A numerical solution that gives<br />
good agreement is also likely to be useful for benchmarking existing codes and new ones that<br />
may be written. The purpose <strong>of</strong> the present study is to find a satisfactory solution in the entire<br />
range <strong>of</strong> sub-critical Reynolds numbers for flow over a circular cylinder.<br />
In earlier attempts to establish benchmark solutions and to obtain agreement with published data<br />
over a range <strong>of</strong> Reynolds numbers, various turbulence models including large eddy simulation<br />
(LES) had been considered and both 2-D and 3-D had been tried [4-6]. The results were obtained<br />
in the form <strong>of</strong> general appearance <strong>of</strong> the wake flow, examination <strong>of</strong> the velocity magnitudes in<br />
the near-field and far-field, eddy frequencies, Strouhal numbers and detailed local distributions <strong>of</strong><br />
pressure. However, most <strong>of</strong> these authors have carried out their work in the more convenient<br />
Speaker: ISLAM, W.S. 96 <strong>BAIL</strong> <strong>2006</strong><br />
✩<br />
✪