On the Necessity of Superparametric Geometry Representation for Discontinuous Galerkin Methods on Domains with Curved Boundaries

Philip Zwanenburg; Siva Nadarajah

doi:10.2514/6.2017-3946

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arXiv · 1705.01668

On the Necessity of Superparametric Geometry Representation for Discontinuous Galerkin Methods on Domains with Curved Boundaries

Philip Zwanenburg·Siva Nadarajah

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Abstract

We provide numerical evidence demonstrating the necessity of employing a superparametric geometry representation in order to obtain optimal convergence orders on two-dimensional domains with curved boundaries when solving the Euler equations using Discontinuous Galerkin methods. However, concerning the obtention of optimal convergence orders for the Navier-Stokes equations, we demonstrate numerically that the use of isoparametric geometry representation is sufficient for the case considered here.

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Philip Zwanenburg, Siva Nadarajah. 2017-05-04. On the Necessity of Superparametric Geometry Representation for Discontinuous Galerkin Methods on Domains with Curved Boundaries. https://doi.org/10.2514/6.2017-3946

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