Stabilized High-Order Discontinuous Galerkin Methods for Aeroacoustic Investigations

Abstract

Solving the compressible, unsteady Navier-Stokes equations is a powerful method to investigate the acoustic phenomena in technical systems with superimposed meanflow. This includes pipes, bends, but also musical woodwind instruments. Often the acoustics of these systems is treated as an linearacoustic problem and investigated by solving the Helmholtz equation. This approach neglects interactions between mean flow and acoustic wave, flow phenomena and also nonlinear phenomena like wave steepening. The pressure related to the flow field and the acoustic pressure perturbations that are radiated can vary about four or five order of magnitude. Resolving these effects requires the solution as accurate as possible to avoid numerical dissipation and dispersion errors. We use an explicit, high-order discontinuous Galerkin formulation to minimize these errors.