A generalized quadrature free discontinuous Galerkin method

Preetham Rao, Philip J. Morris

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations

Abstract

A quadrature free discontinuous Galerkin method using a general polynomial basis set is developed. The generalized method allows one to use a basis set made up of any polynomial function, without the use of quadrature to evaluate the integrals of the discontinuous Galerkin formulation. This allows the use of polynomials such as Lagrange, Jacobi or similar polynomials whose properties considerably reduce the computation time required for boundary integrals. With the use of a Lagrange polynomial basis set, the non-Hnear flux terms are shown to be expanded easily. Results from the appHcation of the method to problems in computational aeroacoustics are presented. The performance of the method under p-refinement using Lagrange polynomials of up to 5th order is shown.

Original languageEnglish (US)
Title of host publicationComputational Fluid and Solid Mechanics 2003
PublisherElsevier Inc.
Pages2105-2109
Number of pages5
ISBN (Electronic)9780080529479
ISBN (Print)9780080440460
DOIs
StatePublished - Jun 2 2003

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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