An improved hydrodynamic/acoustic splitting method for fluid–structure interaction feedback with elastic boundaries

Abstract

To simulate the noise caused by acoustic radiation, scattering, and flow, standard hydrodynamic/acoustic splitting methods have been extensively researched and developed. These methods decompose compressible Navier–Stokes equations into incompressible Navier–Stokes equations and acoustic perturbed equations but generally do not consider the influence of the fluid–structure interaction with elastic boundaries. In response to this defect, a wavelet finite element method is introduced to construct the elastic boundary static model, and a wavelet immersed boundary method is used to simulate the fluid–structure coupling incompressible flow field. In addition, a perfectly matched layer technique is applied to form non-reflective boundary conditions in the acoustic perturbed equations. Based on these approaches, an improved hydrodynamic/acoustic splitting method is presented for fluid–structure interaction feedback with elastic boundaries. Finally, several numerical examples were calculated, including acoustic radiations and scatterings, as well as flow-induced noise, to verify that the new method is a simple and efficient method for fluid–structure–sound interactions.