Kinetic energy preserving DG schemes based on summation-by-parts operators on interior node distributions |
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| Authors: | Sigrun Ortleb |
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| Institution: | Department of Mathematics, University of Kassel, Heinrich-Plett-Str. 40, 34132 Kassel, Germany |
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| Abstract: | In this work, a kinetic energy preserving DG scheme in one space dimension using Gauss-Legendre nodes is presented. Stability problems will be demonstrated when using interface terms that are derived from the Lobatto nodes within the Gauss-Legendre skew-symmetric DG formulation. However, combined with correct interface terms, the skew-symmetric DG scheme constructed on Gauss-Legendre nodes is expected to yield higher accuracy compared to its Gauss-Lobatto counterpart. This advantage is demonstrated in the case of viscous compressible flow computation. (© 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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