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Preprint-No.: <   410   >   Published in: October 2014   PDF-File: 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