Comparison of the finite volume and discontinuous Galerkin schemes for the double vortex pairing problem using the SU2 software suite

Kevin K. Singh, Dimitris Drikakis, Michael Frank, Ioannis W. Kokkinakis, Juan J. Alonso, Tom D. Economon, Edwin T. A. van der Weide

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Abstract

A numerical investigation of finite volume (FV) and discontinuous Galerkin (DG) finite element methods in the framework of the SU2 software is presented. The accuracy of different numerical variants is assessed with reference to the low Mach double vortex pairing flow problem, which has recently been proposed as a benchmark for studying the properties of structured and unstructured grid based methods with respect to turbulent-like vortices. The present study reveals that low-Mach corrections significantly improve the accuracy of second- and third-order, unstructured grid based schemes, at flow speeds in the incompressible limit. Furthermore, the 3rd-order DG method produces results similar to 11th-order accurate FV volume schemes.
LanguageEnglish
Title of host publication2018 AIAA Aerospace Sciences Meeting
Place of PublicationReston, VA.
Number of pages14
ISBN (Electronic)9781624105241
DOIs
Publication statusPublished - 8 Jan 2018
EventAIAA SciTech 2018 - Gaylord Palms, Kissimmee, United States
Duration: 8 Jan 201812 Jan 2018
https://scitech.aiaa.org/Register/

Conference

ConferenceAIAA SciTech 2018
CountryUnited States
CityKissimmee
Period8/01/1812/01/18
Internet address

Fingerprint

Mach number
Vortex flow
Galerkin methods
Finite element method

Keywords

  • discontinuous Galerkin method
  • finite volume method
  • SU2

Cite this

Singh, K. K., Drikakis, D., Frank, M., Kokkinakis, I. W., Alonso, J. J., Economon, T. D., & van der Weide, E. T. A. (2018). Comparison of the finite volume and discontinuous Galerkin schemes for the double vortex pairing problem using the SU2 software suite. In 2018 AIAA Aerospace Sciences Meeting [1833] Reston, VA.. https://doi.org/10.2514/6.2018-1833
Singh, Kevin K. ; Drikakis, Dimitris ; Frank, Michael ; Kokkinakis, Ioannis W. ; Alonso, Juan J. ; Economon, Tom D. ; van der Weide, Edwin T. A. / Comparison of the finite volume and discontinuous Galerkin schemes for the double vortex pairing problem using the SU2 software suite. 2018 AIAA Aerospace Sciences Meeting. Reston, VA., 2018.
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title = "Comparison of the finite volume and discontinuous Galerkin schemes for the double vortex pairing problem using the SU2 software suite",
abstract = "A numerical investigation of finite volume (FV) and discontinuous Galerkin (DG) finite element methods in the framework of the SU2 software is presented. The accuracy of different numerical variants is assessed with reference to the low Mach double vortex pairing flow problem, which has recently been proposed as a benchmark for studying the properties of structured and unstructured grid based methods with respect to turbulent-like vortices. The present study reveals that low-Mach corrections significantly improve the accuracy of second- and third-order, unstructured grid based schemes, at flow speeds in the incompressible limit. Furthermore, the 3rd-order DG method produces results similar to 11th-order accurate FV volume schemes.",
keywords = "discontinuous Galerkin method, finite volume method, SU2",
author = "Singh, {Kevin K.} and Dimitris Drikakis and Michael Frank and Kokkinakis, {Ioannis W.} and Alonso, {Juan J.} and Economon, {Tom D.} and {van der Weide}, {Edwin T. A.}",
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Singh, KK, Drikakis, D, Frank, M, Kokkinakis, IW, Alonso, JJ, Economon, TD & van der Weide, ETA 2018, Comparison of the finite volume and discontinuous Galerkin schemes for the double vortex pairing problem using the SU2 software suite. in 2018 AIAA Aerospace Sciences Meeting., 1833, Reston, VA., AIAA SciTech 2018, Kissimmee, United States, 8/01/18. https://doi.org/10.2514/6.2018-1833

Comparison of the finite volume and discontinuous Galerkin schemes for the double vortex pairing problem using the SU2 software suite. / Singh, Kevin K.; Drikakis, Dimitris; Frank, Michael; Kokkinakis, Ioannis W.; Alonso, Juan J.; Economon, Tom D.; van der Weide, Edwin T. A.

2018 AIAA Aerospace Sciences Meeting. Reston, VA., 2018. 1833.

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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