Numerical analysis of 2D vortex‐induced oscillations of a circular cylinder

Abstract

SUMMARYIn this paper a finite element version of the direct Laplacian method is applied to flows around an oscillating body, using the arbitrary Langrangim-Eulerian (ALE) formulation for the partial domain around the body. This numerical calculation has been successfully conducted for vortex-induced, cross-flow oscillations of a circular cylinder under the same conditions as for Anagnostopoulos and Bearman's experiment ( . I Fluids Struct., 6, 39-50 (1992)), in which the Reynolds number ranged between 90 and 150, a regime where the vortex street is fully laminar. The numerical calculation results have been compared with the experimental data in order to check the calculational accuracy.

A moving frame of reference algorithm for fluid/structure interaction of rotating and translating bodies

“…However, the magnitude of the vibration when compared with the experiments was smaller and the lock-in range in terms of Reynolds number occurred at lower values. We note that these discrepancies are consistent with other numerical predictions [1][2][3]. Figure 6.…”

“…In fact, Equations (13) are the same equations as typically adopted in geophysical ow [10], where the term 2ÂI 0 v is related to the de ecting or Coriolis force and (Â) 2 x is related to the centrifugal force. However the terms −A T d and ÂI 0 x are related to the forces due to unsteady translation and rotation, which are not typically present in geophysical ow.…”

Calculation of fluid–structure interaction: methods, refinements, applications

“…Also plotted in these figures are data from previous numerical simulations (Li et al, 2002;Schulz and Kallinderis, 1998;Wei et al, 1995;Yang et al, 2008) and the experimentally predicted behaviour (Anagnostopoulos and Bearman, 1992). All previous computations use boundaryfitted methods, except Yang et al (2008), whose method is quite similar to the one presented here.…”

“…Nomura (1993), Schulz and Kallinderis (1998), and Wei et al (1995), all employed variations on the arbitrary Lagrangian-Eulerian technique to cope with moving body-fitted 2D grids, while Li et al (2002) used a spectral element fluid solver in a translating frame of reference, thereby negating the need for dynamic mesh regeneration. In all cases, the peak amplitude of vibration was in reasonable agreement with the experiments but the reduced velocity at which the peak occurred and the range of reduced velocities over which fluid dynamic excitation was observed were somewhat less so.…”

“…The experiments covered cylinder Reynolds numbers between Re = 90 and 140 with reduced velocities ranging from U red = 5·02 to 7·81. In addition to the experimental data, numerical simulation results (Kara et al, 2012b;Li et al, 2002;Nomura, 1993;Schulz and Kallinderis, 1998;Wei et al, 1995;Yang et al, 2008) are available for model comparison. Figure 8 shows a schematic representation of a cylinder that is elastically mounted and is allowed to move in the transverse direction.…”