HP-adaption in space-time within an explicit discontinuous Galerkin framework

Abstract

Based on an explicit discontinuous Galerkin scheme for the compressible Navier-Stokes equations we describe an adaptation framework which consists of two building blocks. First, adaptation in time due to time accurate local time stepping and second, adaptation in space by mesh refinement and increase of the local polynomial order in the element during runtime based on a feature based cell resolution indicator - (h-, p- and hp-adaption). At the end we show simulations of the unsteady laminar flow over a NACA0012 airfoil. © 2010 Springer-Verlag Berlin Heidelberg.