Application of a generalized quadrature free discontinuous galerkin method in aeroacoustics

9th AIAA/CEAS Aeroacoustics Conference and Exhibit

Volumn , Issue , 2003, Pages

  Rao, Preetham P ^a   Morris, Philip J ^a  

^a The Center for Nanotechnology Education and Utilization   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROACOUSTICS; MATHEMATICAL TRANSFORMATIONS; POLYNOMIALS;

BENCH-MARK PROBLEMS; CO-ORDINATE TRANSFORMATION; COMPUTATIONAL EFFORT; DISCONTINUOUS GALERKIN; DISCONTINUOUS GALERKIN METHODS; LAGRANGE POLYNOMIALS; NON-UNIFORM MEAN FLOW; ORTHOGONAL POLYNOMIAL;

GALERKIN METHODS;

EID: 85087603292     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2003-3120     Document Type: Conference Paper

References (11)

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2. Lockard, D. P. and Atkins, H. L., "Efficient implementations of the quadrature free discontinuous Galerkin method," 14th AIAA CFD Conference, No. AIAA paper 99-3309, Norfolk, VA, Jun. 1999.
3. Wasistho, B., Geurts, B. J., and Kuerten, J. G. M., "Simulation techniques for spatially evolving instabilities in compressible flow over a flat plate," Computers and Fluids, Vol. 26, No. 7, 1997, pp. 713-739.
4. Hu, F. Q., "A stable perfectly matched layer for linearized Euler equations in unsplit physical variables," Journal of Computational Physics, Vol. 173, 2001, pp. 455-480.
5. Cockburn, B. and Shu, C., "TVB Runge-Kutta local projection discontinuous Galekin finite element method for conservation laws II: General framework," Mathematics of Computation, Vol. 52, No. 186, Apr. 1989, pp. 411-435.
6. Benchmark Problems - Category 4, ICASE/LaRC Workshop on Benchmark Problems in Computational Aeroacoustics., Hampton, VA, Oct. 1994.
7. Benchmark Problems - Category 5, "Generation and radiation of acoustic waves from a 2D shear layer," Third Computational Aeroacoustics (CAA) Workshop on Benchmark Problems, NASA CP 2000- 209790, Cleveland, Ohio, Nov. 1999.
8. Atkins, H. L., "Continued development of the discontinuous Galerkin method for computational aeroacoustic applications," Third AIAA/CEAS Aeroacoustics Conference, No. AIAA paper 97-1581, Atlanta, GA, May 1997.
9. Shu, C.W. and Osher, S., "Efficient implementation of essentially non-oscillatory shock capturing schemes," Journal of computational Physics, Vol. 77, 1986, pp. 361-383.
10. Agarwal, A. and Morris, P. J., "Generation and Radiation of Acoustic Waves from a 2-D Shear Layer," Third Computational Aeroacoustics (CAA) Workshop on Benchmark Problems, NASA CP 2000- 209790, NASA Glenn Research Center, Aug. 2000, pp. 309-314.
11. Hu, F. Q. and Atkins, H. L., "Eigensolution analysis of the discontinuous Galerkin method with non-uniform grids, part I: one space dimension," Tech. Rep. NASA/CR-2001-211269, ICASE Report no. 2001-40, Dec. 2001.