Vortex-Induced Vibration Characteristics of an Elastic Circular Cylinder
A numerical simulation of vortex-induced vibration of
a 2-dimensional elastic circular cylinder with two degree of freedom
under the uniform flow is calculated when Reynolds is 200.
2-dimensional incompressible Navier-Stokes equations are solved
with the space-time finite element method, the equation of the cylinder
motion is solved with the new explicit integral method and the mesh
renew is achieved by the spring moving mesh technology. Considering
vortex-induced vibration with the low reduced damping parameter, the
variety trends of the lift coefficient, the drag coefficient, the
displacement of cylinder are analyzed under different oscillating
frequencies of cylinder. The phenomena of locked-in, beat and
phases-witch were captured successfully. The evolution of vortex
shedding from the cylinder with time is discussed. There are very
similar trends in characteristics between the results of the one degree
of freedom cylinder model and that of the two degree of freedom
cylinder model. The streamwise vibrations have a certain effect on the
lateral vibrations and their characteristics.
[1] P. Anagnostopoulos, P.W. Bearman, "Response characteristics of a
vortex-excited cylinder at low Reynolds number," J. luids.Struct., vol. 6,
pp. 39-50, 1992.
[2] A. Khalak, C.H.K. Williamson, "Investigation of the realative effects of
mass and damping in vortex-induced vibration of a circular cylinder", J.
Wind Eng. Ind. Aerodyn. vol. 69-71, pp. 341-350, 1997.
[3] D. Brika, A. Laneville, "Vortex-induced vibrations of a long flexible
circular cylinder", J. Fluid Mech. vol. 250, pp. 481-508, 1993.
[4] C.H.K. Williamson, A. Roshko, "Vortex formation in the wake of an
oscillating cylinder", J. Fluids Struct. vol. 2, pp. 355-381, 1988.
[5] E. Guilmineau, P. Queutey, "Numerical simulation of vortex-induced
vibration of a circular cylinder with low mass-damping in a turbulent
flow", J. Fluids Struct. vol. 19, pp. 449-466, 2004.
[6] S. Dong, G.E. Lesoinne, "DNS of flow past a stationary and oscillating
cylinder at Re=10000", J. Fluids Struct. vol. 20, pp. 519-531, 2005.
[7] H. Al-Jamal, C. Dalton, "vortex induced vibrations using large eddy
simulation at a moderate Reynolds number", J. Fluids Struct. vol. 19, pp.
73-92, 2004.
[8] A. Placzek, J.F. Sigrist, A.Hamdouni, "Numerical simulation of an
oscillating cylinder in a cross-flow at low Reynolds number: Forced and
free oscillations", Comuter&fluids. vol. 38, pp. 80-100, 2009.
[9] C.Y.Zhou, C.Sorm, K.Lam, "vortex induced vibrations of an elastic
circular cylinder", J. Fluids Struct. vol. 13, pp. 165-189, 1999.
[10] G.W. Li, A.L. Ren, W.Q. Chen, "An ALE method for vortex-induced
vibrations of an elastic circular cylinder", Acta.Aerodynamic.Asinica. vol.
22, pp. 283-288, 2004.
[11] J.R. Meneghini, P.W. Bearman, "Numerical simulation of high amplitude
oscillatory flow about a circular cylinder", J. Fluids Struct. vol. 9, pp.
435-455, 1995.
[12] T.Sarkaya, "Hydrodynamic damping, flow-induced oscillations, and
biharmonic response", ASME J.Offshore Mech. Arctic Eng. vol. 117, pp.
232-238, 1995.
[13] C.H.K. Williamson, R. Govardhan, "Vortex-induced vibration". Annu.
Rev. Fluid Mech. vol. 36, pp. 413-455, 2004.
[14] T.E.Tezduyar , S.Mittal and S.E.Ray, "Incompressible flow computations
with bilinear and linear equal-order-interpolation velocity-pressure
elements", Comp. Meth. App. Mech.&Eng., vol. 95, pp 221-242, 1992.
[15] T. Li, J.Y. Zhang, W.H. Zhang. "Efficient evaluation of space-time finite
element method", Journal of Southwest Jiaotong Unversity, vol. 43. pp
772-777. 2008
[16] W.M. Zhai, Vehicle-track coupling dynamics. Beijing: China Railway
publishing house, 2001, pp 397-399.
[17] M. Mistsuhiro, N.Kazuhiro, M. Kisa, "Unstructured dynamic mesh for
large movement and deformation", AIAA, vol. 40. pp 1-11. 2002
[18] L.P. Franca, S.L. Frey, "Stabilized finite element method:
II. The incompressible Navier-Stokes equations", Comp.
Meth. App. Mech. & Eng., vol. 99. pp 209-233. 1992.
[1] P. Anagnostopoulos, P.W. Bearman, "Response characteristics of a
vortex-excited cylinder at low Reynolds number," J. luids.Struct., vol. 6,
pp. 39-50, 1992.
[2] A. Khalak, C.H.K. Williamson, "Investigation of the realative effects of
mass and damping in vortex-induced vibration of a circular cylinder", J.
Wind Eng. Ind. Aerodyn. vol. 69-71, pp. 341-350, 1997.
[3] D. Brika, A. Laneville, "Vortex-induced vibrations of a long flexible
circular cylinder", J. Fluid Mech. vol. 250, pp. 481-508, 1993.
[4] C.H.K. Williamson, A. Roshko, "Vortex formation in the wake of an
oscillating cylinder", J. Fluids Struct. vol. 2, pp. 355-381, 1988.
[5] E. Guilmineau, P. Queutey, "Numerical simulation of vortex-induced
vibration of a circular cylinder with low mass-damping in a turbulent
flow", J. Fluids Struct. vol. 19, pp. 449-466, 2004.
[6] S. Dong, G.E. Lesoinne, "DNS of flow past a stationary and oscillating
cylinder at Re=10000", J. Fluids Struct. vol. 20, pp. 519-531, 2005.
[7] H. Al-Jamal, C. Dalton, "vortex induced vibrations using large eddy
simulation at a moderate Reynolds number", J. Fluids Struct. vol. 19, pp.
73-92, 2004.
[8] A. Placzek, J.F. Sigrist, A.Hamdouni, "Numerical simulation of an
oscillating cylinder in a cross-flow at low Reynolds number: Forced and
free oscillations", Comuter&fluids. vol. 38, pp. 80-100, 2009.
[9] C.Y.Zhou, C.Sorm, K.Lam, "vortex induced vibrations of an elastic
circular cylinder", J. Fluids Struct. vol. 13, pp. 165-189, 1999.
[10] G.W. Li, A.L. Ren, W.Q. Chen, "An ALE method for vortex-induced
vibrations of an elastic circular cylinder", Acta.Aerodynamic.Asinica. vol.
22, pp. 283-288, 2004.
[11] J.R. Meneghini, P.W. Bearman, "Numerical simulation of high amplitude
oscillatory flow about a circular cylinder", J. Fluids Struct. vol. 9, pp.
435-455, 1995.
[12] T.Sarkaya, "Hydrodynamic damping, flow-induced oscillations, and
biharmonic response", ASME J.Offshore Mech. Arctic Eng. vol. 117, pp.
232-238, 1995.
[13] C.H.K. Williamson, R. Govardhan, "Vortex-induced vibration". Annu.
Rev. Fluid Mech. vol. 36, pp. 413-455, 2004.
[14] T.E.Tezduyar , S.Mittal and S.E.Ray, "Incompressible flow computations
with bilinear and linear equal-order-interpolation velocity-pressure
elements", Comp. Meth. App. Mech.&Eng., vol. 95, pp 221-242, 1992.
[15] T. Li, J.Y. Zhang, W.H. Zhang. "Efficient evaluation of space-time finite
element method", Journal of Southwest Jiaotong Unversity, vol. 43. pp
772-777. 2008
[16] W.M. Zhai, Vehicle-track coupling dynamics. Beijing: China Railway
publishing house, 2001, pp 397-399.
[17] M. Mistsuhiro, N.Kazuhiro, M. Kisa, "Unstructured dynamic mesh for
large movement and deformation", AIAA, vol. 40. pp 1-11. 2002
[18] L.P. Franca, S.L. Frey, "Stabilized finite element method:
II. The incompressible Navier-Stokes equations", Comp.
Meth. App. Mech. & Eng., vol. 99. pp 209-233. 1992.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:60073", author = "T. Li and J.Y. Zhang and W.H. Zhang and M.H. Zhu", title = "Vortex-Induced Vibration Characteristics of an Elastic Circular Cylinder", abstract = "A numerical simulation of vortex-induced vibration of
a 2-dimensional elastic circular cylinder with two degree of freedom
under the uniform flow is calculated when Reynolds is 200.
2-dimensional incompressible Navier-Stokes equations are solved
with the space-time finite element method, the equation of the cylinder
motion is solved with the new explicit integral method and the mesh
renew is achieved by the spring moving mesh technology. Considering
vortex-induced vibration with the low reduced damping parameter, the
variety trends of the lift coefficient, the drag coefficient, the
displacement of cylinder are analyzed under different oscillating
frequencies of cylinder. The phenomena of locked-in, beat and
phases-witch were captured successfully. The evolution of vortex
shedding from the cylinder with time is discussed. There are very
similar trends in characteristics between the results of the one degree
of freedom cylinder model and that of the two degree of freedom
cylinder model. The streamwise vibrations have a certain effect on the
lateral vibrations and their characteristics.", keywords = "Fluid-structure interaction, Navier-Stokes equation,Space-time finite element method, vortex-induced vibration.", volume = "3", number = "12", pages = "1114-10", }