Development of higher-order discontinuous Galerkin method on hexahedral elements

H. Özdemir, C.P.A. Blom, R. Hagmeijer, H.W.M. Hoeijmakers

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

5 Citations (Scopus)

Abstract

A high-order implementation of the Discontinuous Galerkin (DG) method was presented for solving the three-dimensional Linearized Euler Equations on an unstructured hexahedral grid. The method was based on a quadrature free implementation and the high-order accuracy was obtained by employing higher-degree polynomials as basis functions. Non-reflecting boundary conditions were implemented at the boundaries of the computational domain. The results obtained show that the hexahedral elements were more accurate than the results obtained on tetrahedral elements. The results were compared to the leading term in a series expansion of the analytical solution.

Original languageEnglish
Title of host publication10th AIAA/CEAS Aeroacoustics Conference 2004
Subtitle of host publication10 May 2004 - 12 May 2004 Manchester, Great Britain
Place of PublicationReston, VA
Pages1809-1824
Number of pages16
DOIs
Publication statusPublished - 1 Dec 2004
Event10th AIAA/CEAS Aeroacoustics Conference 2004 - Manchester, United Kingdom
Duration: 10 May 200412 May 2004
Conference number: 10

Publication series

NameAIAA Meeting Paper
PublisherAerospace Research Central
Number2004-2961

Conference

Conference10th AIAA/CEAS Aeroacoustics Conference 2004
CountryUnited Kingdom
CityManchester
Period10/05/0412/05/04

Fingerprint

Euler equations
Galerkin methods
Polynomials
Boundary conditions

Cite this

Özdemir, H., Blom, C. P. A., Hagmeijer, R., & Hoeijmakers, H. W. M. (2004). Development of higher-order discontinuous Galerkin method on hexahedral elements. In 10th AIAA/CEAS Aeroacoustics Conference 2004: 10 May 2004 - 12 May 2004 Manchester, Great Britain (pp. 1809-1824). (AIAA Meeting Paper; No. 2004-2961). Reston, VA. https://doi.org/10.2514/6.2004-2961
Özdemir, H. ; Blom, C.P.A. ; Hagmeijer, R. ; Hoeijmakers, H.W.M. / Development of higher-order discontinuous Galerkin method on hexahedral elements. 10th AIAA/CEAS Aeroacoustics Conference 2004: 10 May 2004 - 12 May 2004 Manchester, Great Britain. Reston, VA, 2004. pp. 1809-1824 (AIAA Meeting Paper; 2004-2961).
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Özdemir, H, Blom, CPA, Hagmeijer, R & Hoeijmakers, HWM 2004, Development of higher-order discontinuous Galerkin method on hexahedral elements. in 10th AIAA/CEAS Aeroacoustics Conference 2004: 10 May 2004 - 12 May 2004 Manchester, Great Britain. AIAA Meeting Paper, no. 2004-2961, Reston, VA, pp. 1809-1824, 10th AIAA/CEAS Aeroacoustics Conference 2004, Manchester, United Kingdom, 10/05/04. https://doi.org/10.2514/6.2004-2961

Development of higher-order discontinuous Galerkin method on hexahedral elements. / Özdemir, H.; Blom, C.P.A.; Hagmeijer, R.; Hoeijmakers, H.W.M.

10th AIAA/CEAS Aeroacoustics Conference 2004: 10 May 2004 - 12 May 2004 Manchester, Great Britain. Reston, VA, 2004. p. 1809-1824 (AIAA Meeting Paper; No. 2004-2961).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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Özdemir H, Blom CPA, Hagmeijer R, Hoeijmakers HWM. Development of higher-order discontinuous Galerkin method on hexahedral elements. In 10th AIAA/CEAS Aeroacoustics Conference 2004: 10 May 2004 - 12 May 2004 Manchester, Great Britain. Reston, VA. 2004. p. 1809-1824. (AIAA Meeting Paper; 2004-2961). https://doi.org/10.2514/6.2004-2961