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

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

doi:10.1007/978-3-030-62048-6_12

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

Igor Bosnyakov, Vladimir Podaruev + Show 3 more

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

Copy DOI

Publication Date: Jan 1, 2021

Affiliation: Central Aerohydrodynamic Institute, Moscow Institute of Physics and Technology

#Implementation Of Discontinuous Galerkin Method #High Order Discontinuous Galerkin Method + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

AbstractAn 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.

Full Text