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Comparison of finite volume high-order schemes for the two-dimensional Euler equations

Wellner, Jens (2016) Comparison of finite volume high-order schemes for the two-dimensional Euler equations. In: Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. VII European Congress on Computational Methods in Applied Sciences and Engineering, 5.-10. Juni 2016, Kreta, Griechenland.

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Official URL: https://www.eccomas2016.org/proceedings/pdf/9251.pdf

Abstract

The present paper describes the use of various high-order schemes in a finite volume formulation for use on structured grids. In particular, WENO and compact upwind schemes as well as central and upwind schemes are investigated. Their efficiency and accuracy are compared to the well-established second- and third-order MUSCL family of schemes. The different schemes are analyzed and tested numerically using canonical flow problems in the context of the two-dimensional Euler equations. Results are shown for the two-dimensional advection of a density pulse to quantify the dissipation and dispersion properties of the schemes. To investigate the non-oscillatory nature of the schemes and the resolution of discontinuities the Riemann problem is analyzed. The simulations are performed on uniform as well as non-uniform meshes.

Item URL in elib:https://elib.dlr.de/114433/
Document Type:Conference or Workshop Item (Speech)
Title:Comparison of finite volume high-order schemes for the two-dimensional Euler equations
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Wellner, JensJens.Wellner (at) dlr.deUNSPECIFIED
Date:June 2016
Journal or Publication Title:Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Editors:
EditorsEmail
Papadrakakis, M.UNSPECIFIED
Papadopoulos, V.UNSPECIFIED
Stefanou, G.UNSPECIFIED
Plevris, V.UNSPECIFIED
Status:Published
Keywords:High-order, Finite volume, Euler equations, MUSCL, WENO, compact scheme
Event Title:VII European Congress on Computational Methods in Applied Sciences and Engineering
Event Location:Kreta, Griechenland
Event Type:international Conference
Event Dates:5.-10. Juni 2016
Organizer:ECCOMAS
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
Institute of Propulsion Technology > Fan and Compressor
Institute of Propulsion Technology > Engine Acoustic
Institute of Propulsion Technology > Turbine
Deposited By: Wellner, Jens
Deposited On:11 Oct 2017 15:09
Last Modified:11 Oct 2017 15:09

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