410	RWTH Publication No: 443035        2014        IGPM410.pdf
TITLE	An HDG Method for unsteady compressible flows
AUTHORS	Alexander Jaust, Jochen Schütz, Michael Woopen
ABSTRACT	The recent gain of interest in Discontinuous Galerkin (DG) methods shows their success in computational fluid dynamics. However, in the case of an implicit discretization, one potential drawback is the high number of globally coupled unknowns. By means of hybridization, this number can be significantly reduced. The hybridized DG (HDG) method has proven to be beneficial especially for steady flows. In this work we apply this method to time-dependent flow problem with shocks. Due to its inherently implicit structure, time integration methods such as diagonally implicit Runge-Kutta (DIRK) methods present themselves as natural candidates. Furthermore, as the application of flux limiting to HDG is not straightforward, an artificial viscosity model is applied to stabilize the method.
KEYWORDS	CFD, hybridized discontinuous Galerkin, shock-capturing
DOI	10.1007/978-3-319-19800-2_23
PUBLICATION	Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014 pp 267 - 274