Efficient discontinuous Galerkin methods for solving acoustic problems

Collection of Technical Papers - 11th AIAA/CEAS Aeroacoustics Conference

Volumn 1, Issue , 2005, Pages 295-313

  Chevaugeon, Nicolas ^a,c   Remacle, Jean François ^a,c   Gallez, Xavier ^b,d   Ploumhans, Paul ^b,d   Caro, Stéphane ^b,d  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^b Free Field Technologies   (Belgium)

^c Civil Engineering Department   (Belgium)

^d NONE   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 29244485606     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2005-2823     Document Type: Conference Paper

References (18)

1. Myers, K. K., "On the acoustic boundary condition in the presence of flow," J. Sound Vib., Vol. 71, 1980, pp. 429-434.
2. Eversman, W., "The boundary condition at an impedance wall in a non-uniform duct with potential mean flow," J. Sound Vib., Vol. 246, No. 1, 2001, pp. 63-69.
3. Atkins, H. L. and Shu, C. W., "Quadrature-free implementation of discontinuous Galerkin methods for hypebolic equations," AIAA Journal, Vol. 36, No. 5, 1998.
4. Atkins, H. L., "Continuous development of the discontinuous Galerkin method for aeroacoustic applications," Proceeding of the 3rd AIAA/CEAS Aeroacoustics Conference, No. AIAA Paper 1997-1581, Altanta, GA, 1997.
5. Lockard, D. and Atkins, H., "Efficient implementations of the quadrature-free discontinuous Galerkin method." Proceeding of 14th AIAA CFD conference, AIAA, 1999.
6. Cockburn, B. and Shu, C.-H., "TVD Runge-Kutta local projection Discontinuous Galerkin finite element method for conservation laws," Mathematics of Computations, Vol. 52(186), 1989, pp. 411-435.
7. Atkins, H. L., "Application of a Generalized Qudareture-Free Discontinuous Galerkin Method in aeroacoustics," Proceeding of the 9th AIAA/CEAS Aeroacoustics Conference, No. AIAA Paper 2003-3120, Hilton Head, SC, 2003.
8. Astley, R. J. and Coyette, J.-P., "Conditioning of infinite element schemes for wave problems," Commun. Numer. Meth. Engng, Vol. 17, 2001, pp. 31-41.
9. Astley, R. J. and Coyette, J.-P., "The performance of spheroidal infinite elements," Int. J. Numer. Meth. Engng, Vol. 52, 2001, pp. 1379-1396.
10. Astley, R. J., Hamilton, J. A., Baker, N., and Kitchen, A. H., "Modelling tone propagation from turbofan inlets - The effect of extended lip liners," 2002, AIAA Paper 2002-2449.
11. Ploumhans, P., Meerbergen, K., Knapen, T., Gallez, X., Lielens, G., and Coyette, J.-P., "Development and Validation of a Parallel Out-of-core Propagation and Radiation Code With Validation on a Turbofan Application," Proceedings of the Eighteenth International Congress on Acoustics, ICA, 2004.
12. Rienstra, S. W. and Hirschberg, A., An Introduction to Acoustics, 2002.
13. Remacle, J.-F., Flaherty, J., and Shephard, M., "An Adaptive Discontinuous Galerkin Technique with an Orthogonal Basis Applied to Compressible Flow Problems," SIAM Review, Vol. 45, 2003, pp. 53-72.
14. "ATLAS (Automatically Tuned Linear Algebra Software),".
15. Hu, F. and Atkins, H., "Eigensolution Analysis of the Discontinuous Galerkin Method with Nonuniform Grids I One Space Dimension," Journal of Computational Physics, Vol. 182, No. 2, 2002, pp. 516-545.
16. Ainsworth, M., "Dispersive and dissipative behavior of high order Discontinuous Galerkin finite element methods," Journal of Computational Physics, Vol. 198, No. 1, 2004, pp. 106-130.
17. Cockburn, B. and Shu, C.-W., "Runge-Kutta Discontinuous Galerkin methods for convection-dominated problems," Journal of Scientific Computing, Vol. 16, 2001, pp. 173-261.
18. Remacle, J.-F., Flaherty, J. E., and Shephard, M. S., "Parallel Algorithm Oriented Mesh Database," Tenth International Meshing Roundtable, 2001.