Estudo da vibração induzida por vórtices sobre um cilindro circular elasticamente apoiado pela solução numérica das equações de Reynolds

Abstract

Vortex-induced vibration (VIV) is a subject that is still little dominated by the scientific community and of great interest in engineering. Its numerical simulation presents itself as a challenge, either by the intrinsic nonlinearity to this phenomenon, or by the computational limitation and restricted range of efficient methods. For this reason, several studies have addressed this theme, however, the results obtained were unsatisfactory and the need to improve them is evident. In the present work, the slightly compressible Reynolds averaged Navier-Stokes equations were solved using the finite volume method in spatial discretization and the third order Runge-Kutta method in time integration. The numerical code was validated by the simulation of three laminar cases (Re = 40, 100 and 200) and two cases in which the wake is turbulent (Re = 500 and 1000) for the fixed cylinder. In turbulent cases, the one-equation turbulence models of Spalart-Allmaras and turbulent kinetic energy were used to simulate the turbulence in the cylinder’s wake. Finally, the elastically mounted cylinder with a low degree of freedom was simulated for Re = 2000-12000, where it was possible to capture many characteristics reported by previous experimental studies, such as the vortex emission mode 2P. However, the calculated amplitude response presented discrepancies, which were duly clarified. The present work is a pioneer in that it evaluates a simpler methodology for the study of VIV aiming at efficiency in terms of computational costs.