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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    title = "Development of higher-order discontinuous Galerkin method on hexahedral elements",
    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.",
    author = "H. {\"O}zdemir and C.P.A. Blom and R. Hagmeijer and H.W.M. Hoeijmakers",
    year = "2004",
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    language = "English",
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    series = "AIAA Meeting Paper",
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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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    N2 - 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.

    AB - 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.

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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