Flexible Discretization for Computational Aeroacoustics

Abstract

This contribution discusses the capabilities of non-conforming grid techniques to allow an optimal discretization for each subdomain. In doing so, we derive the Nitsche-type mortaring formulation for the acoustic wave equation, which incorporates the physical transmission condition of continuity of acoustic pressure and its flux being the normal component of the acoustic particle velocity. The Nitschetype mortaring handles the coupling by symmetrizing the bilinear form and adding an appropriate jump term. The simulation of the edge tone demonstrates the applicability and superiority of non-conforming grids for computational aeroacoustics at low Mach numbers compared to conforming finite element methods.