Advances in numerical boundary conditions for computational aeroacoustics

Journal of Computational Acoustics

Volumn 6, Issue 4, 1998, Pages 377-402

  Tam, Christopher K W ^a  

^a FLORIDA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032218463     PISSN: 0218396X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218396X98000259     Document Type: Article

References (55)

1. D. Givoli, "Non-reflecting boundary conditions." J. Comput. Phys. 94 (1991), 1-29.
2. C. K. W. Tam, "Computational aeroacoustics: Issues and methods," AIAA Journal 33 (1995), 1788-1796.
3. S. K. Lele, "Computational aeroacoustics: A review." AIAA Paper 97-0018, (1997).
4. K. W. Thompson, "Time dependent boundary conditions for hyperbolic systems." J. Comput. Phys. 68 (1987), 1-24.
5. K. W. Thompson, "Time dependent boundary conditions for hyperbolic systems, II," J. Comput. Phys. 89 (1990), 439-461.
6. T. J. Poinsot and S. K. Lele, "Boundary conditions for direct simulations of compressible viscous flows," J. Comput. Phys. 101 (1992), 104-129.
7. A. Bayliss and E. Turkel, "Radiation boundary conditions for wavelike equations," Communications on Pure and Applied Mathematics 33 (1980), 707-725.
8. A. Bayliss and E. Turkel, "Far field boundary conditions for compressible flows," J. Comput. Phys. 48 (1982) 182-199.
9. T. Hagstrom and S. I. Hariharan. "Accurate boundary conditions for exterior problems in gas dynamics." Mathematics of Computation 51 (1988), 581-597.
10. C. K. W. Tam and J. C. Webb, "Dispersion-relation-preserving finite difference schemes for computational acoustics," J. Comput. Phys. 107 (1993), 262-281.
11. B. Engquist and A. Majda, "Absorbing boundary conditions for the numerical simulation of waves," Mathematics of Computation 31 (1977), 629-651.
12. R. L. Higdon, "Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation," Mathematics of Computation 47 (1986), 629-651.
13. R. L. Higdon, "Numerical absorbing boundary conditions for the wave equation," Mathematics of Computation 49 (1987), 65-90.
14. R. Kosloff and D. Kosloff, "Absorbing boundaries for wave propagation problems," J. Comput. Phys. 63 (1986), 363-376.
15. H. Jiang and Y. S. Wong, "Absorbing boundary conditions for second order hyperbolic equations," J. Comput. Phys. 88 (1990), 205-231.
16. T. Colonius, S. K. Lele and P. Moin, "Boundary conditions for direct computation of aerodynamic sound generation," AIAA Journal 31 (1993), 1574-1582.
17. M. M. Rai and P. Moin, "Direct numerical simulation of transition and turbulence in a spatially evolving boundary layer," J. Comput. Phys. 109 (1993), 169-192.
18. M. Israeli and S. A. Orszag, "Approximation of radiation boundary condition," J. Comput. Phys. 41 (1981), 115-135.
19. S. Ta'asan and D. M. Nark, "An absorbing buffer zone technique for acoustic wave propagation," AIAA Paper 95-0164 (1995).
20. M. E. Hayder and E. Turkel, "On buffer layers as non-reflecting computational boundaries," AIAA paper 96-0273 (1996).
21. J. B. Freund, "Proposed inflow/outflow boundary condition for direct computation of aerodynamic sound," AIAA Journal 35 (1997), 740-742.
22. J. P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys. 114 (1994), 185-200.
23. J. P. Berenger, "Three-dimensional perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys. 127 (1996), 363-379.
24. F. D. Hastings, J. B. Schneider and S. L. Broschat, "Application of the perfectly matched layer (PML) absorbing boundary condition to elastic wave propagation," J. Acoust. Soc. Am. 100 (1996), 3061-3069.
25. F. Q. Hu, "On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer," J. Comput. Phys. 129 (1996), 201-219.
26. F. Q. Hu, "On perfectly matched layer as an absorbing boundary condition," AIAA Paper 96-1664 (1996).
27. M. Hayder, F. Q. Hu and Y. M. Hussaini, "Toward perfectly absorbing boundary conditions for Euler equations," AIAA Paper 97-2075 (1997).
28. F. Q. Hu and J. L. Manthey, "Application of PML absorbing boundary conditions to the benchmark problems of computational aeroacoustics," in Proc. Second Computational Aeroacoustics Workshop on Benchmark Problems, eds. C. K. W. Tam and J. C. Hardin (to be published as a NASA CP, 1997).
29. C. K. W. Tam, J. C. Webb and Z. Dong, "A study of the short wave components in computational acoustics," J. Comput. Acoust. 1 (1993), 1-30.
30. M. B. Giles, "Nonreflecting boundary conditions for Euler equation calculations," AIAA Journal 28 (1990), 2050-2058.
31. H. Atkins and J. Casper, "Nonreflective boundary conditions for high-order methods," AIAA Journal 32 (1994), 512-518.
32. T. Colonius, "Numerically nonreflecting boundary and interface conditions," AIAA Paper 96-1661 (1996).
33. J. N. Scott, R. R. Mankbadi, M. E. Hayder and S. I. Hariharan. "Outflow boundary conditions for the computational analysis of jet noise," AIAA Paper 93-4366 (1993).
34. D. Kroner, "Absorbing boundary conditions for the linearized Euler equations in 2-D," Mathematics of Computation 57 (1991), 153-167.
35. P. Roe, "Remote boundary conditions for unsteady multidimensional aerodynamic computations," Computers and Fluids Journal 17 (1989), 221-231.
36. D. R. Hixon, S. Shih and R. R. Mankbadi, "Evaluation of boundary conditions for computational aeroacoustics," AIAA Journal 33 (1995), 2006-2012.
37. M. E. Hayder and E. Turkel, "Nonreflecting boundary conditions for jet flow computations," AIAA Journal 33 (1995), 2264-2270.
38. T. Z. Dong, "A set of simple radiation boundary conditions for acoustics computations in nonuniform mean flows," AIAA Paper 96-0274 (1996).
39. J. C. Hardin, J. R. Ristorcelli and C. K. W. Tam, ICASE/LaRC Workshop on Benchmark Problems in Computational Aeroacoustics (NASA CP 3300, 1995).
40. C. K. W. Tam and J. C. Hardin, Second Computational Aeroacoustics Workshop on Benchmark Problems (to be published as a NASA CP, 1997).
41. C. K. W. Tam and Z. Dong, "Wall boundary conditions for high-order finite difference schemes in computational aeroacoustics," Theoretical and Computational Fluid Dynamics 8 (1994), 303-322.
42. K. A. Kurbatskii and C. K. W. Tam, "Cartesian boundary treatment of curved walls for high-order computational aeroacoustics schemes," AIAA Journal 35 (1997), 133-140.
43. C. Chung and P. J. Morris, "Acoustic scattering from two and three-dimensional bodies," Proc. First Joint CEAS/AIAA Aeroacoustics Conference (Munich, Germany, 1995) 55-63.
44. R. E. Motsinger and R. E. Kraft, "Design and performance of duct acoustic treatment," in Aeroacoustics of Flight Vehicles: Theory and Practice, ed. H. H. Hubbard (NASA RP-1258, 1991, Chapter 14).
45. Y. Ozyoruk and L. L. Long, "A time-domain implementation of surface acoustic impedance condition with and without flow," AIAA Paper 96-1663 (1996).
46. Y. Ozyoruk and L. L. Long, "Impedance boundary conditions for time-domain computational aeroacoustics methods," AIAA Paper 97-0021 (1997).
47. D. M. Sullivan, "Frequency-dependent FDTD methods using z transform," IEEE Transactions on Antennas and Propagation 40 (1992), 1223-1230.
48. C. Penny, "Scattering from coated targets using a frequency-dependent impedance boundary condition in the finite difference time-domain method," Ph.D. thesis, The Pennsylvania State University, University Park (1995).
49. C. K. W. Tam and L. Auriault, "Time-domain impedance boundary conditions for computational aeroacoustics," AIAA Journal 34 (1996), 917-923.
50. C. K. W. Tam, K. Kurbatskii and J. Fang, "Numerical boundary conditions for computational aeroacoustics benchmark problems," in Proc. Second Computational Aeroacoustics Workshop on Benchmark Problems, eds. C. K. W. Tam and J. C. Hardin (to be published as a NASA CP, 1997).
51. C. K. W. Tam and Z. Dong, "Radiation and outflow boundary conditions for direct computation of acoustic and flow disturbances in a nonuniform mean flow," J. Comput. Acoust. 4 (1996), 175-201.
52. C. K. W. Tam, "Supersonic jet noise," Annual Review of Fluid Mechanics 27 (1995), 17-43.
53. H. Shen and C. K. W. Tam, "Numerical simulation of the generation of axisymmetric mode jet screech tones," AIAA Journal 36 (1998), 1801-1807.
54. 6," AIAA Paper 80-0035, (1980).
55. A. T. Thies, C. K. W. Tam and N. N. Reddy, Airframe Noise via Numerical Simulation (in press).