High-order discontinuous Galerkin discretizations for computational aeroacoustics in complex domains

Discontinuous Galerkin discretization is applied for the numerical solution of the linearized Euler equations governing propagation of small-amplitude acoustic disturbances. Second-, fourth-, and sixth-order-accurate numerical solutions are obtained for domain discretizations with triangular elements. In addition, discretizations with quadrilateral unstructured meshes are obtained with second- and fourth-order accuracy. Detailed comparisons with exact solutions and accuracy tests are carried out with results obtained for a pressure pulse propagation and reflection from a solid surface. It is demonstrated that for triangular meshes the numerical solutions show grid convergence according to the order of accuracy used for the discretization. The versatility of the method to obtain accurate predictions in complex geometries is demonstrated with the results obtained for sound scattering from a single cylinder and two cylinders.