An Immersed Boundary Method for Fluid-Structure-Acoustics Interaction at Low Reynolds Numbers
* Presenting author
This paper presents an immersed boundary method for fluid--structure--acoustics interactions involving complex boundaries at low Reynolds numbers. In this method, the compressible Navier--Stokes equations are considered, where a fifth-order accuracy Weighted Essentially Non-Oscillation (WENO) scheme and a fourth-order central difference scheme are adopted to discretize the convective and diffusion terms, respectively. The third order Runge-Kutta method is used for the temporal discretization. The non-linear flexible structure immersed in the fluid is numerically solved by using a finite element method. By using a penalty immersed boundary method, the no-slip boundary between the fluid and the structure is achieved. Acoustic waves scattering benchmark problems and sound generation by a micro flapping vehicle are presented to validate the present solver. Comparisons with the published data are presented to demonstrate the good performance of the method in modelling acoustics. The capability of using this method to study the sound generation by flapping plates is also demonstrated.