372 RWTH Publication No: 230401        2013        IGPM372.pdf
TITLE A Comparison of Hybridized and Standard DG Methods for Target-Based hp-Adaptive Simulation of Compressible Flow
AUTHORS Michael Woopen, Aravind Balan, Georg May, Jochen Schütz
ABSTRACT We present a comparison between hybridized and non-hybridized discontin- uous Galerkin methods in the context of target-based hp-adaptation. Using a discrete-adjoint approach, sensitivities with respect to output functionals are computed to drive the adaptation. From the error distribution given by the adjoint-based error estimator, h- or p-refinement is chosen based on the smoothness of the solution which can be quantified by properly-chosen smoothness indicators. Numerical results are shown for inviscid subsonic and transonic, and laminar viscous flow around the NACA0012 airfoil.
KEYWORDS discontinuous Galerkin methods, hybridization, hp-adaptation, adjoint-based error-estimation, compressible flow
DOI 10.1016/j.compfluid.2014.03.023
PUBLICATION Journal of Scientific Computing
August 2014, Volume 60, Issue 2, pp 438-456