Article

High-Order Discontinuous Galerkin Methods for the Acoustic Conservation Equations on Moving Meshes (en)

* Presenting author
Day / Time: 08.03.2023, 14:20-14:40
Room: Saal X 5-6
Typ: Regulärer Vortrag
Abstract: Due to their low dispersion and dissipation errors, discontinuous Galerkin methods are ideally suited to solve acoustic conservation equations.Extending the acoustic conservation equations with a convective term and a source term using quantities from an incompressible flow simulation yields the Acoustic Perturbation Equations (APE), which can be used in aero-acoustic computations.If meshes move, a convective term (with the mesh velocity as convection velocity) arises from the arbitrary Lagrangian--Eulerian (ALE) formulation.We are considering an academic test case with a right-hand side and perform computations on moving meshes.This way, the equations, we are solving, have the same structure as the APE, and the acoustic part of hybrid aero-acoustic simulations can be benchmarked against an analytical solution.We show optimal convergence rates in space and time using a purely explicit multistep method as a time integration scheme.From this starting point, computing aero-acoustic problems boils down to replacing the right-hand side with an aero-acoustic source term and considering the velocity of the background fluid in addition to the mesh velocity.
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