Harmonic oscillations of a thin lamina in a quiescent viscous fluid: A numerical investigation within the framework of the lattice Boltzmann method
The flow physics induced by the harmonic motion of a rigid thin lamina in a quiescent viscous fluid is investigated numerically by a combined lattice Boltzmann-immersed boundary approach. Consistency and accuracy are carefully examined and validated against experimental results for oscillations of small and moderate amplitudes, and against analytical predictions for zero-amplitude oscillations. Comparisons with previous lattice Boltzmann simulations highlight the benefit of the present approach in terms of accuracy. A new empirical law for the hydrodynamic function, which accounts for oscillations of large amplitudes (similar to the length of the lamina) is introduced.
lattice boltzmann method fluidstructure interaction hydrodynamic load immersed boundary method