Error estimation and adaptive mesh refinement for aerodynamic flows

Hartmann, Ralf; Houston, Paul

Abstract

This lecture course covers the theory of so-called duality-based a posteriori error estimation of DG finite element methods. In particular, we formulate consistent and adjoint consistent DG methods for the numerical approximation of both the compressible Euler and Navier-Stokes equations; in the latter case, the viscous terms are discretized based on employing an interior penalty method. By exploiting a duality argument, adjoint-based a posteriori error indicators will be established. Moreover, application of these computable bounds within automatic adaptive finite element algorithms will be developed. Here, a variety of isotropic and anisotropic adaptive strategies, as well as $hp$-mesh refinement will be investigated.

Citation

Hartmann, R., & Houston, P. Error estimation and adaptive mesh refinement for aerodynamic flows. In H. Deconinck (Ed.), Proceedings of the 36THCFD/Adigma course on HP-adaptive and HP-multigrid methods. Von Karman Institute for Fluid Dynamics, Rhode Saint Genese, Belgium: von Karman Institute for Fluid Dynamics

• Conference Name: 6th CFD/ADIGMA course on hp-adaptive and hp-multigrid methods
• End Date: Oct 30, 2009
• Deposit Date: Jan 7, 2010
• Peer Reviewed: Not Peer Reviewed
• Book Title: Proceedings of the 36THCFD/Adigma course on HP-adaptive and HP-multigrid methods
• ISBN: 978-2-930389-98-2
• Public URL: https://nottingham-repository.worktribe.com/output/1014540
• Publisher URL: http://www.vki.ac.be/