On using perfectly matched layer for the euler equations with a non-uniform mean flow

Collection of Technical Papers - 10th AIAA/CEAS Aeroacoustics Conference

Volumn 2, Issue , 2004, Pages 1848-1858

  Hu, Fang Q ^a  

^a OLD DOMINION UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; ELECTROMAGNETISM; FLUID DYNAMICS; MATHEMATICAL MODELS; NUMERICAL METHODS; SPACE TIME ADAPTIVE PROCESSING; WAVE PROPAGATION;

LINEARIZED EULER EQUATIONS; MEAN FLOW; NUMERICAL INSTABILITY; PERFECTLY MATCHED LAYER (PML);

LINEAR EQUATIONS;

EID: 19644385122     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2004-2966     Document Type: Conference Paper

References (34)

1. S. Abarbanel, D. Gottlieb and J. S. Hesthaven, Journal of Computational Physics, Vol. 154, 266-283, 1999.
2. S. Abarbanel, D. Stanescu and M. Y. Hussaini, Computational Geosciences, Vol. 7 (4), 265-294, 2003.
3. E. Becache, A.-S. Bonnet-Ben Dhia and G. Legendre, SIAM J. Num. Anal., Vol. 42 (1), 409-433, 2004.
4. E. Becache, P. G. Petropoulos and S. D. Gedney, INRIA Report, No. 4538, 2002.
5. E. Becache, S. Fauqueux and P. Joly, Journal of Computational Physics, Vol. 188, 399-433, 2003.
6. J. P. Berenger, Journal of Computational Physics, Vol. 114, 185-200, 1994.
7. W. C. Chew, W. H. Weedon, IEEE Microwave Opt. Technol. Lett., Vol. 7, 599-604, 1994.
8. G. Chimonas, Journal of Fluid Mechanics, Vol. 43, 833-836, 1970.
9. F. Collino and P. Monk, SIAM J. Sci, Comp, Vol. 19, No. 6, P. 2016, 1998.
10. P. G. Drazin and W. H. Reid, Hydrodynamic stability, Cambridge University Press, 1981.
11. S. D. Gedney, IEEE Trans. Antennas Propagation, Vol. 44, P. 1630, 1996.
12. T. Hagstrom and I. Nazarov, AIAA paper 2002-2606, 2002.
13. T. Hagstrom and I. Nazarov, AIAA paper 2003-3298, 2003.
14. F. Q. Hu, Physics of Fluids A, Vol. 5, No. 6, 1420-1426, 1993.
15. F. Q. Hu, Journal of Sound and Vibration, Vol. 183, 841-856, 1995.
16. F. Q. Hu, Journal of Computational Physics, 129, 201-219, 1996.
17. F. Q. Hu, AIAA paper 96-1664, 1996
18. F. Q. Hu, Journal of Computational Physics, Vol. 173, 455-480, 2001.
19. F. Q. Hu, Absorbing boundary conditions (a review), to appear in International Journal of Computational Fluid Dynamics, 2004.
20. F. Q. Hu, Solution of aeroacoustic benchmark problems by discontinuous Galerkin method and Perfectly Matched Layer for nonuniform mean flows, to appear in the proceeding of the 4th CAA workshop on Benchmark problems, NASA CP, 2003.
21. F. Q. Hu, M. Y. Hussaini and J. L. Manthey, Journal of Computational Physics, Vol. 124, 177-191, 1996.
22. F. Q. Hu and C. K. W. Tam, Physics of Fluids A, Vol. 6, No. 3, 1645-1656, 1991.
23. H. Huerre and P. A. Monkewitz, Annu. Rev. Fluid Mech., Vol. 22, 473, 1990.
24. L. M. Mack, Theoretical and Computational Fluid Dynamics, Vol. 2, 97-123, 1990.
25. S. A. Orszag, Journal of Fluid Dynamics, Vol. 50, 689-703, 1971.
26. P. G. Petropoulos, SIAM J. App. Math., Vol. 60, 1037-1058, 2000.
27. C. K. W. Tarn, L. Auriault and F. Cambulli, Journal of Computational Physics, 144, 213-234, 1998.
28. C. K. W. Tarn and F. Q. Hu, Journal of Fluid Mechanics, Vol. 201, 447-483, 1989.
29. C. K. W. Tarn and F. Q. Hu, Journal of Fluid Mechanics, Vol. 203, 51-76, 1989.
30. C. K. W. Tam and J. C. Webb, Vol. 107, 262-281, 1993.
31. E. Turkel and A. Yefet, Applied Numerical Mathematics, Vol. 27, 533-557, 1998.
32. G. B. Witham, Linear and nonlinear waves, Willey, 1978.
33. L. Zhao and A. C. Cangellaris, IEEE Trans. Microwave Theory Tech., Vol. 44, 2555-2563, 1996.
34. M. Zhuang, Physics of Fluids, Vol. 7, 2489-2495, 1995.