Development of higher-order discontinuous Galerkin method on hexahedral elements

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

doi:10.2514/6.2004-2961

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 proceeding › Conference contribution › Academic › peer-review

6 Citations (Scopus)

9 Downloads (Pure)

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 language	English
Title of host publication	10th AIAA/CEAS Aeroacoustics Conference 2004
Subtitle of host publication	10 May 2004 - 12 May 2004 Manchester, Great Britain
Place of Publication	Reston, VA
Pages	1809-1824
Number of pages	16
DOIs	https://doi.org/10.2514/6.2004-2961
Publication status	Published - 1 Dec 2004
Event	10th AIAA/CEAS Aeroacoustics Conference 2004 - Manchester, United Kingdom Duration: 10 May 2004 → 12 May 2004 Conference number: 10

Publication series

Name	AIAA Meeting Paper
Publisher	Aerospace Research Central
Number	2004-2961

Conference

Conference	10th AIAA/CEAS Aeroacoustics Conference 2004
Country/Territory	United Kingdom
City	Manchester
Period	10/05/04 → 12/05/04

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10.2514/6.2004-2961

Cite this

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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",

month = dec,

day = "1",

doi = "10.2514/6.2004-2961",

language = "English",

isbn = "9781563477133",

series = "AIAA Meeting Paper",

publisher = "Aerospace Research Central",

number = "2004-2961",

pages = "1809--1824",

booktitle = "10th AIAA/CEAS Aeroacoustics Conference 2004",

note = "10th AIAA/CEAS Aeroacoustics Conference 2004 ; Conference date: 10-05-2004 Through 12-05-2004",

}

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. et al.
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 proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Development of higher-order discontinuous Galerkin method on hexahedral elements

AU - Özdemir, H.

AU - Blom, C.P.A.

AU - Hagmeijer, R.

AU - Hoeijmakers, H.W.M.

N1 - Conference code: 10

PY - 2004/12/1

Y1 - 2004/12/1

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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DO - 10.2514/6.2004-2961

M3 - Conference contribution

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EP - 1824

BT - 10th AIAA/CEAS Aeroacoustics Conference 2004

CY - Reston, VA

T2 - 10th AIAA/CEAS Aeroacoustics Conference 2004

Y2 - 10 May 2004 through 12 May 2004

ER -

Development of higher-order discontinuous Galerkin method on hexahedral elements

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