High-Order Discontinuous Galerkin Method on Hexahedral Elements for Aeroacoustics High-Order Discontinuous Galerkin Method on Hexahedral Elements for Aeroacoustics

Nonuniform time-step Runge-Kutta discontinuous Galerkin method for Computational Aeroacoustics

In computational aeroacoustics (CAA) simulations, discontinuous Galerkin space discretization (DG) in conjunction with Runge-Kutta time integration (RK), which is so called Runge-Kutta discontinuous Galerkin method (RKDG), has been an attractive alternative to the finite difference based high-order numerical approaches. However, when it comes to complex physical problems, especially the ones in...

Computational aeroacoustics with a high order discontinuous Galerkin scheme

The high order discontinuous Galerkin solver NoisSol for the linearized acoustic equations and its application to airfoil noise simulation are presented. Aiming at the fast simulation of the noise generation and propagation in domains with complex geometries, the discretization based on unstructured grids is seen as the favorable strategy. Further important requirements for an aeroacoustic solv...

Application of Discontinuous Galerkin spectral method on hexahedral elements for aeroacoustic

Final Report of NASA Langley Grant NCC1-01035 Relaxation and Preconditioning for High Order Discontinuous Galerkin Methods with Applications to Aeroacoustics and High Speed Flows

methods are two classes of high order, high resolution methods suitable for convection dominated simulations with possible discontinuous or sharp gradient solutions. In [18], we first review these two classes of methods, pointing out their similarities and differences in algorithm formulation, theoretical properties, implementation issues, applicability, and relative advantages. We then present...

Arbitrary High Order Discontinuous Galerkin Schemes

In this paper we apply the ADER one step time discretization to the Discontinuous Galerkin framework for hyperbolic conservation laws. In the case of linear hyperbolic systems we obtain a quadrature-free explicit single-step scheme of arbitrary order of accuracy in space and time on Cartesian and triangular meshes. The ADERDG scheme does not need more memory than a first order explicit Euler ti...