Vortex Induced Vibration (VIV) of structures is of practical interest to many fields of engineering. The particular case of a rigid cylinder mounted under elastic supports and constrained to oscillate in a single direction is modelled using OpenFOAM’s two-dimensional Reynolds-averaged Navier-Stokes (RANS) equations with k-ω SST turbulence model. The model aimed for relativelly low Reynolds numbers (2500 ≤ Re ≤ 15000) and the results were compared with Khalak and Williamson’s experimental results with the intent of also evaluating maximum amplitude to diameter ratio, A/D, achieving good agreement between both computational and experimental data. Lift and drag coefficients, C

[1] C. C. Feng, “The measurement of vortex induced effects in flow past stationary and oscillating circular and D-section cylinders,” University of British Columbia, Vancouver, Canada, 1968.

[2] T. Sarpkaya, “Vortex induced oscillations - A selective review,” J. Appl. Mech., 46, pp. 241–258, (1979).

[3] P. W. Bearman, “Vortex shedding from oscillating bluff bodies,” Annu. Rev. Fluid Mech., 16, pp. 195–222, (1984).

[4] A. Khalak and C.H.K. Williamson, “Dynamics of a hydroelastic cylinder with very low mass and damping,” J. Fluids Struct., 10, pp. 455–472, (1996).

[5] A. Khalak and C.H.K. Williamson, “Fluid forces and dynamics of a hydroelastic structure with very low mass damping,” J. Fluids Struct., 11, pp. 973–982, (1997).

[6] A. Khalak and C.H.K. Williamson, “Motions, Forces and Mode Transitions in Vortex-Induced Vibrations At Low Mass-Damping,” J. Fluids Struct., 13, no. 7–8, pp. 813–851, (1999).

[7] R. D. Blevins and C. S. Coughran, “Experimental Investigation of Vortex-Induced Vibration in One and Two Dimensions With Variable Mass, Damping, and Reynolds Number,” J. Fluids Eng., 131, no. 10, p. 101202, (2009).

[8] M. Bernitsas, K. Raghavan, Y. Ben-Simon, and E. Garcia, “VIVACE (Vortex Induced Vibration Aquatic Clean Energy): A New Concept in Generation of Clean and Renewable Energy From Fluid Flow,” J. Offshore Mech. Arct. Eng., 130, no. 4, p. 41101, (2008).

[9] J. Lee, C. Chang, N. Xiros, and M. Bernitsas, “Integrated power take-off and virtual oscilator system for the vivace converter: Vck system identification,” Proc. ASME 2009 Int. Mech. Eng. Congr. Expo., IMECE 2009, pp. 1–7, (2009).

[10] C. Chang, R. Ajith Kumar, and M. Bernitsas, “VIV and galloping of single circular cylinder with surface roughness at 30000≤Re≤120000,” Ocean Eng., 38, no. 16, pp. 1713–1732, (2011).

[11] C. Chang and M. Bernitsas, “Hydrokinetic Energy Harnessing Using the Vivace Converter With Passive Turbulence Control,” in Proc. ASME 2011 Int. Conf. Ocean. Offshore Arct. Eng., 2011, pp. 1–10.

[12] C. Chang and M. Bernitsas, “Envelope of power harvested by a single-cylinder vivace converter,” in Proc. ASME 2015 34th Int. Conf. Ocean. Offshore Arct. Eng., 2015.

[13] E. Kim and M. Bernitsas, “Performance prediction of horizontal hydrokinetic energy converter using multiple-cylinder synergy in flow induced motion,” Appl. Energy, 170, pp. 92–100, (2016).

[14] A. Chizfahm, E. Azadi Yazdi, and M. Eghtesad, “Dynamic modelling of vortex induced vibration wind turbines,” Renew. Energy, 121, no. 121, pp. 632–643, (2018).

[15] J. Wanderley, G. Souza, S. Sphaier, and C. Levi, “Vortex-induced vibration of an elastically mounted circular cylinder using an upwind TVD two-dimensional numerical scheme,” Ocean Eng., 35, pp. 1533– 1544, (2008).

[16] J. Wanderley, S. Sphaier, and C. Levi, “A two-dimensional numerical investigation of the hysteresis effect on vortex induced vibration on an elastically mounted rigid cylinder,” J. Offshore Mech. Arct. Eng., 134, p. 21801, (2012).

[17] W. Wu, M. M. Bernitsas, and K. Maki, “RANS Simulation Versus Experiments of Flow Induced Motion of Circular Cylinder With Passive Turbulence Control at 35,000 < RE < 130,000,” J. Offshore Mech. Arct. Eng., 136, no. 4, p. 041802, (2014).

[18] F. R. Menter, “Two-equation eddy-viscosity turbulence models for engineering applications,” AIAA J., 32, no. 8, pp. 1598–1605, (1994).

[19] C. H. K. Williamson and A. Roshko, “Vortex formation in the wake of an oscillating cylinder,” J. Fluids Struct., 2, no. 4, pp. 355–381, (1988).

[2] T. Sarpkaya, “Vortex induced oscillations - A selective review,” J. Appl. Mech., 46, pp. 241–258, (1979).

[3] P. W. Bearman, “Vortex shedding from oscillating bluff bodies,” Annu. Rev. Fluid Mech., 16, pp. 195–222, (1984).

[4] A. Khalak and C.H.K. Williamson, “Dynamics of a hydroelastic cylinder with very low mass and damping,” J. Fluids Struct., 10, pp. 455–472, (1996).

[5] A. Khalak and C.H.K. Williamson, “Fluid forces and dynamics of a hydroelastic structure with very low mass damping,” J. Fluids Struct., 11, pp. 973–982, (1997).

[6] A. Khalak and C.H.K. Williamson, “Motions, Forces and Mode Transitions in Vortex-Induced Vibrations At Low Mass-Damping,” J. Fluids Struct., 13, no. 7–8, pp. 813–851, (1999).

[7] R. D. Blevins and C. S. Coughran, “Experimental Investigation of Vortex-Induced Vibration in One and Two Dimensions With Variable Mass, Damping, and Reynolds Number,” J. Fluids Eng., 131, no. 10, p. 101202, (2009).

[8] M. Bernitsas, K. Raghavan, Y. Ben-Simon, and E. Garcia, “VIVACE (Vortex Induced Vibration Aquatic Clean Energy): A New Concept in Generation of Clean and Renewable Energy From Fluid Flow,” J. Offshore Mech. Arct. Eng., 130, no. 4, p. 41101, (2008).

[9] J. Lee, C. Chang, N. Xiros, and M. Bernitsas, “Integrated power take-off and virtual oscilator system for the vivace converter: Vck system identification,” Proc. ASME 2009 Int. Mech. Eng. Congr. Expo., IMECE 2009, pp. 1–7, (2009).

[10] C. Chang, R. Ajith Kumar, and M. Bernitsas, “VIV and galloping of single circular cylinder with surface roughness at 30000≤Re≤120000,” Ocean Eng., 38, no. 16, pp. 1713–1732, (2011).

[11] C. Chang and M. Bernitsas, “Hydrokinetic Energy Harnessing Using the Vivace Converter With Passive Turbulence Control,” in Proc. ASME 2011 Int. Conf. Ocean. Offshore Arct. Eng., 2011, pp. 1–10.

[12] C. Chang and M. Bernitsas, “Envelope of power harvested by a single-cylinder vivace converter,” in Proc. ASME 2015 34th Int. Conf. Ocean. Offshore Arct. Eng., 2015.

[13] E. Kim and M. Bernitsas, “Performance prediction of horizontal hydrokinetic energy converter using multiple-cylinder synergy in flow induced motion,” Appl. Energy, 170, pp. 92–100, (2016).

[14] A. Chizfahm, E. Azadi Yazdi, and M. Eghtesad, “Dynamic modelling of vortex induced vibration wind turbines,” Renew. Energy, 121, no. 121, pp. 632–643, (2018).

[15] J. Wanderley, G. Souza, S. Sphaier, and C. Levi, “Vortex-induced vibration of an elastically mounted circular cylinder using an upwind TVD two-dimensional numerical scheme,” Ocean Eng., 35, pp. 1533– 1544, (2008).

[16] J. Wanderley, S. Sphaier, and C. Levi, “A two-dimensional numerical investigation of the hysteresis effect on vortex induced vibration on an elastically mounted rigid cylinder,” J. Offshore Mech. Arct. Eng., 134, p. 21801, (2012).

[17] W. Wu, M. M. Bernitsas, and K. Maki, “RANS Simulation Versus Experiments of Flow Induced Motion of Circular Cylinder With Passive Turbulence Control at 35,000 < RE < 130,000,” J. Offshore Mech. Arct. Eng., 136, no. 4, p. 041802, (2014).

[18] F. R. Menter, “Two-equation eddy-viscosity turbulence models for engineering applications,” AIAA J., 32, no. 8, pp. 1598–1605, (1994).

[19] C. H. K. Williamson and A. Roshko, “Vortex formation in the wake of an oscillating cylinder,” J. Fluids Struct., 2, no. 4, pp. 355–381, (1988).