Application of a generalized quadrature free discontinuous galerkin method in aeroacoustics

Preetham P. Rao, Philip John Morris

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

18 Scopus citations

Abstract

A quadrature free discontinuous Galerkin method using a general polynomial basis set is developed. It is shown that this method allows for the use of orthogonal and near orthogonal polynomials, whose properties not only lead to sparse elemental matrices, but also reduce the computational effort required in the evaluation of elemental boundary integrals. Expansion of the nonlinear flux expressions is accomplished easily using nodal polynomials such as Lagrange polynomials. Since most of the work involved in a discontinuous Galerkin solver is concentrated in the calculation of the boundary integrals involving coordinate transformations and nonlinear flux expansions, the present approach proves to be an efficient one. The method is applied to solve benchmark problems in aeroacoustics, involving uniform and non-uniform mean flows in two dimensions. Basis sets consisting of polynomials of up to 5th degree are used on an unstructured grid, and a study of both h and p refinement is presented. The performance of the method is compared to the quadrature free method using moment polynomials.

Original languageEnglish (US)
Title of host publication9th AIAA/CEAS Aeroacoustics Conference and Exhibit
StatePublished - 2003
Event9th AIAA/CEAS Aeroacoustics Conference and Exhibit, 2003 - Hilton Head, SC, United States
Duration: May 12 2003May 14 2003

Other

Other9th AIAA/CEAS Aeroacoustics Conference and Exhibit, 2003
CountryUnited States
CityHilton Head, SC
Period5/12/035/14/03

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All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Electrical and Electronic Engineering
  • Mechanical Engineering
  • Acoustics and Ultrasonics

Cite this

Rao, P. P., & Morris, P. J. (2003). Application of a generalized quadrature free discontinuous galerkin method in aeroacoustics. In 9th AIAA/CEAS Aeroacoustics Conference and Exhibit