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.
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