Discontinuous Spectral Element Solution of Acoustic Radiation from Thin Airfoils

Abstract

A time-domain spectral element method is used to compute the acoustic radiation from thin airfoils generated in response to upstream, small amplitude plane vorticity waves. The method is a spectral element (collocation) form of the discontinuous Galerkin method for the solution of the Euler gasdynamics equations. Solutions are presented for flat plate and symmetric and nonsymmetric Joukowski airfoils. Comparisons are made to semi-analytic and finite difference computations.