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

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.