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2021 | OriginalPaper | Chapter

Implementation of High Order Discontinuous Galerkin Method and Its Verification Using Taylor-Green Vortex and Periodic Hills Test Cases

Authors : Igor Bosnyakov, Sergey Mikhaylov, Vladimir Podaruev, Alexey Troshin, Andrey Wolkov

Published in: TILDA: Towards Industrial LES/DNS in Aeronautics

Publisher: Springer International Publishing

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Abstract

An implementation of Discontinuous Galerkin method designed for unsteady computations is presented. Explicit 4-th order 5-stage strong stability-preserving Runge-Kutta scheme is used together with global time stepping technique. Shape functions are taken to be orthonormal polynomials in physical space. Polynomial orders K of up to 5 are used, formally giving a K + 1 accuracy order. Bassi and Rebay 2 approximation of viscous fluxes is adopted. Test cases presented are DNS of Taylor-Green Vortex at Re = 1600 and ILES/DDES computations of ERCOFTAC Periodic Hills test case at Re = 10 595. The results include accuracy versus computational cost comparisons.

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Metadata
Title
Implementation of High Order Discontinuous Galerkin Method and Its Verification Using Taylor-Green Vortex and Periodic Hills Test Cases
Authors
Igor Bosnyakov
Sergey Mikhaylov
Vladimir Podaruev
Alexey Troshin
Andrey Wolkov
Copyright Year
2021
Book
TILDA: Towards Industrial LES/DNS in Aeronautics

Print ISBN: 978-3-030-62047-9

Electronic ISBN: 978-3-030-62048-6

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-62048-6_12

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