High Order Discontinuous Galerkin Schemes for Industrial Flow Problems
High-order methods are attractive for simulations of multiscale problems. Due to their low dispersion and dissipation errors, they minimize the number of points, required to resolve a wavelength or another structure with given accuracy. In this talk a survey is given about the construction of the class of spectral element discontinuous Galerkin schemes. Several building aspects in this construction are considered in more detail including shock capturing and de-aliasing. Their high computational efficiency, especially on high performance computers is motivated and shown. As applications the fluid flow around a rear mirror of a car is shown and the noise generation by an acoustic feedback identified. Other large scale simulations include the direct numerical simulation of supersonic boundary layers and an example of plasma flow.