PCWE for FSAI -- Derivation of scalar wave equations for fluid-structure-acoustics interaction of low Mach number flows

Abstract

This paper presents a novel derivation of the perturbed convective wave equation by utilizing the instantaneous velocity field as the foundation for the convective operator. This approach holds particular significance in the context of modeling fluid-structure-acoustic interaction (FSAI) problems, such as those encountered in human phonation or systems involving fans with flexible blades. The derivation is explored through two distinct methodologies: one commencing from the linearized perturbed compressible equations (LPCE) and the other rooted in the acoustic perturbation equations of variant 2 (APE-2). The comparative analysis of these alternative derivations may contribute to a more profound understanding of the underlying physics involved in FSI scenarios and aeroacoustics.