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Numerical investigation of split form nodal discontinuous Galerkin schemes for the implicit LES of a turbulent channel flow

Bergmann, Michael and Gölden, Rebecca and Morsbach, Christian (2018) Numerical investigation of split form nodal discontinuous Galerkin schemes for the implicit LES of a turbulent channel flow. In: ECCOMAS - - ECFD 2018 - 6th European Conference on Computational Mechanics (Solids, Structures and Coupled Problems) / 7th European Conference on Computational Fluid Dynamics. ECCOMAS ECCM ECFD, 11. - 15. Juni 2018, Glasgow, Schottland.

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Official URL: http://www.eccm-ecfd2018.org/admin/files/filePaper/p1509.pdf

Abstract

Gassner et al. (Split form nodal discontinuous Galerkin schemes with summation - by - parts property for the compressible Euler equations. Journal of Computational Physics, 327:3966, Dec. 2016) proposed a promising alternative stabilization technique for the discontinuous Galerkin scheme, which relies on the reformulation of the non-linear advection terms into split forms. It has been observed, that these split forms can stabilize the inviscid Taylor Green Vortex with high-order approximations, which are unstable with over-integration. In this paper, we apply different split form discontinous Galerkin schemes for the implicit large eddy simulation of a fully developed turbulent channel flow and investigate their robustness and accuracy for wall-bounded flows. Furthermore, we compare these results to implicit large eddy simulation with over-integrated high-order approximations in terms of statistical values and turbulence spectra. Finally, we show that the use of high-order split form discontinuous Galerkin scheme can significantly improve the results in comparison to low-order discretizations.

Item URL in elib:https://elib.dlr.de/126168/
Document Type:Conference or Workshop Item (Speech)
Title:Numerical investigation of split form nodal discontinuous Galerkin schemes for the implicit LES of a turbulent channel flow
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Bergmann, MichaelMichael.Bergmann (at) dlr.deUNSPECIFIED
Gölden, RebeccaUNSPECIFIEDUNSPECIFIED
Morsbach, ChristianChristian.Morsbach (at) dlr.dehttps://orcid.org/0000-0002-6254-6979
Date:June 2018
Journal or Publication Title:ECCOMAS - - ECFD 2018 - 6th European Conference on Computational Mechanics (Solids, Structures and Coupled Problems) / 7th European Conference on Computational Fluid Dynamics
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:Split form, Discontinuous Galerkin, LES, Channel flow
Event Title:ECCOMAS ECCM ECFD
Event Location:Glasgow, Schottland
Event Type:international Conference
Event Dates:11. - 15. Juni 2018
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:propulsion systems
DLR - Research area:Aeronautics
DLR - Program:L ER - Engine Research
DLR - Research theme (Project):L - Virtual Engine and Validation methods
Location: Köln-Porz
Institutes and Institutions:Institute of Propulsion Technology > Numerical Methodes
Deposited By: Bergmann, Michael
Deposited On:23 Jan 2019 15:36
Last Modified:23 Jan 2019 15:36

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