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.
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Taube, A., Gassner, G., Munz, CD. (2010). HP-Adaption in Space-Time within an Explicit Discontinuous Galerkin Framework. In: Kroll, N., Bieler, H., Deconinck, H., Couaillier, V., van der Ven, H., Sørensen, K. (eds) ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03707-8_30
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DOI: https://doi.org/10.1007/978-3-642-03707-8_30
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