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Application of Immersed Boundary Method for Flow Over Stationary and Oscillating Cylinders  

Lee Dae-Sung (Department of mechanical engineering, Pusan National University)
Ha Man-Yeong (Department of mechanical engineering, Pusan National University)
Kim Sung-Jin (Department of mechanical engineering, Pusan National University)
Yoon Hyun-Sik (ASERC, Pusan National University)
Publication Information
Journal of Mechanical Science and Technology / v.20, no.6, 2006 , pp. 849-863 More about this Journal
Abstract
IBM (Immersed Boundary Method) with feedback momentum forcing was applied to stationary and moving bodies. The capability of IBM to treat the obstacle surfaces, especially with moving effect has been tested for two dimensional problems. Stationary and oscillating cylinders were simulated by using IBM based on finite volume method with Cartesian coordinates. For oscillating cylinder, lateral and vertical motions are considered, respectively. Present results such as time histories of drag and lift coefficients for both stationary and oscillating cases are in good agreement with previous numerical and experimental results. Also, the instantaneous wake patterns of oscillating cylinder with different oscillating frequency ratios well represented those of previous researches. More feasibility study for IBM has been carried out to two oscillating cylinders. Drag and lift coefficients are presented for two cylinders oscillating sinusoidally with phase difference of $180^{\circ}$.
Keywords
Immersed Boundary Method; Oscillating Cylinder; Drag & Lift Coefficients;
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1 Saiki, E. M. and Biringen, S., 1996, 'Numerical Simulation of a Cylinder in Uniform Flow; Application of a Virtual Boundary Method,' J. Comput. Phys., 123, pp.450-465   DOI   ScienceOn
2 Sumner, D. and Wong, S. S. T., Price, S. J. and Paidoussis, M. P., 1999, ' Fluid Behavior of Side-by side Circular Cylinders in Steady Cross-flow,' J. Fluids Struct., Vol. 13, pp. 309-338   DOI   ScienceOn
3 Udaykumar, H. S., Kan, Heng-Chuan, Shyy, W. and Roger Tran-Son-Tay, 1997, 'Multiphase Dynamics in Arbitrary Geometries on Fixed Cartesian Grids,' J. Comput. Phys., Vol. 137, pp. 366-405   DOI   ScienceOn
4 Udaykumar, H. S., Mittal, R., Rampunggoon, P. and Khanna, A., 2001, 'A Sharp Interface Cartesian Grid Method for· Simulating Flows with Complex Moving Boundaries,' J. Comput. Phys., Vol. 174, pp. 345-380   DOI   ScienceOn
5 Verzicco, R., Mohd-Yusof, J., Orlandi, P. and Haworth, D., 2000, 'Large Eddy Simulation in Complex Geometries Configurations Using Boundary Body Forces,' AIAA Journal, Vol. 38, No.3, pp.427-433   DOI   ScienceOn
6 Williamson, C. H. K., 1985,' 'Evolution of a Single Wake behind a Pair of Bluff Bodies,' J. Fluid Mech., Vol. 159, pp. 1-18   DOI   ScienceOn
7 Kim, J., Kim, D. and Choi, H., 2001, 'An Immersed Boundary Finite-Volume Method for Simulation of Flow in Complex Geometries,' J. Comput. Phys., 171, pp. 132-150   DOI   ScienceOn
8 Mohd-Yusof, J., 1997, 'Combined Immersed Boundaries/B-Splines Methods for Simulations of Flows in Complex Geometries,' CTR Annual Research Briefs, NASA Ames/Stanford University, pp.317-327
9 Park, J., Kwon, K. and Choi, H., 1998, 'Numerical Solutions of Flow past a Circular Cylinder at Reynolds Numbers up to 160,' KSME Int. J., Vol. 12, No.6, pp. 1200-1205
10 Peskin, C. S., 1982, 'The Fluid Dynamics of Heart Valves: Experimental, Theoretical, and Computational Methods,' Annu. Rev. Fluid Mech., 14, 235   DOI   ScienceOn
11 Keulegan G. H. and Carpenter, L. H., 1958, 'Forces on Cylinders and Plates in an Oscillating Fluid,' J. Res. Natl. Bur. Stand., 60, pp.423-440   DOI
12 Kim, J. and Moin, P., 1985, 'Application of a Fractional-Step Method to Incompressible Navier-Stockes Equation,' J. Comput
13 Lai, M. C. and Peskin., C. S., 2000, 'An Immersed Boundary Method with Formal Second-Order Accuracy and Reduced Numerical Viscosity,' J. Comput. Phys., 160, pp. 705-719   DOI   ScienceOn
14 Lee, C., 2003, 'Stability Characteristics of the Virtual Boundary Method in Three-dimensional Applications,' J. Comput. Phys., 184, pp.559-591   DOI   ScienceOn
15 Guilmineau, E. and Queutey, P., 2002, 'A Numerical Simulation of Vortex Shedding from an Oscillating Circular Cylinder,' J. Fluids and Structures, Vol. 16, No.6, pp.773-794   DOI   ScienceOn
16 Kang, S., 2003, 'Characteristics of Flow over Two Circular Cylinders in a Side-by-side Arrangement at Low Reynolds Numbers,' Phys. Fluids, Vol. 15, No.9, pp. 2486-2498   DOI   ScienceOn
17 Goldstein, D. and Tuan T.-C., 1998, 'Secondary Flow Induced by Riblets,' Journal of Fluid Mechanics , Vol. 363, pp. 1 15-151   DOI
18 Fadlun, E. A., Verzicco, R., Orlandi, P. and Mohd- Yusof, J., 2000, 'Combined Immersed Boundary Finite-Difference Methods for Three-Dimensional Complex Flow Simulations,' J. Comput. Phys., 161, pp. 35-60   DOI   ScienceOn
19 Goldstein, D., Handler, R. and Sirovich, L., 1993, 'Modeling a No-Slip Boundary with an External Force Field,' J. Comput. Phys., 105
20 Goldstein, D., Handler, R. and Sirovich, L., 1995, 'Direct Numerical Simulation of Turbulent Flow over a Modeled Riblet-Covered Surface,' J. Fluid. Mech., 302, pp. 333-376   DOI   ScienceOn
21 Zdravkovich, M. M., 1997, 'Review of Flow Interference between Two Circular Cylinders in Various Arrangements,' J. Fluids Eng., Vol. 99, pp.618-633   DOI
22 Chakrabarti, S. K. 1987, 'Hydrodynamics of Offshore Structures,' Computational Mechanics Publications
23 Diitsch, H., Durst, F., Becker, S. and Lienhart, H., 1998, 'Low-Reynolds-number Flow around an Oscillating Circular Cylinder at Low Keulegan-Carpenter Numbers,' J. Fluid Mech., Vol. 360, pp. 247-271
24 Ye. T., Mittal, R., Udaykumar, H. S. and Shyy, W .. 1999. 'An Accurate Cartesian Grid Method for Viscous Incompressible Flows with Complex Immersed Boundaries,' J. Comput. Phys., 156 , pp. 209-240   DOI   ScienceOn
25 Zang, Y., Street, R. L. and Koseff, J. R., 1994, 'A Non-staggered Grid, Fractional Step Method for Time-Dependent Incompressible Navier-Stokes Equations in Curvilinear Coordinates,' J. Comput. Phys., 114, pp. 18-33   DOI   ScienceOn