Efficient implementation of Tam and Auriault's time-domain impedance boundary condition

AIAA Journal

Volumn 46, Issue 9, 2008, Pages 2368-2376

  Reymen, Yves ^a,b   Baelmans, Martine ^a,b   Desmet, Wim ^a,b  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b Department of Mechanical Engineering ^*

Author keywords

[No Author keywords available]

Indexed keywords

EFFICIENT IMPLEMENTATION; FREQUENCY DOMAINS; TIME DOMAINS; TIME-DOMAIN IMPEDANCE;

BOUNDARY VALUE PROBLEMS; CONVOLUTION; DATA STORAGE EQUIPMENT; FREQUENCY DOMAIN ANALYSIS; FUNCTIONS; NASA; THEOREM PROVING; TUBES (COMPONENTS);

BOUNDARY CONDITIONS;

EID: 51749083982     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.35876     Document Type: Conference Paper

References (30)

1. Hamilton, J. A., and Astley, R. J., "Acoustic Propagation on Irrotational Mean Flows Using Time-domain Finite and Infinite Elements," AIAA Paper 2003-3280, May 2003.
2. Chevaugeon, N., Remade, J.-F., Gallez, X., Ploumhans, P., and Caro, S., "Efficient Discontinuous Galerkin Methods for Solving Acoustic Problems," AIAA Paper 2005-2823, May 2005.
3. Rienstra, S. W., "Impedance Models in Time Domain Including the Extended Helmholtz Resonator Model," AIAA Paper 2006-2686, May 2006.
4. Tam, C. K. W., and Auriault, L., "Time-Domain Impedance Boundary Conditions for Computational Aeroacoustics," AIAA Journal, Vol. 34, No. 5, May 1996, pp. 917-923. doi:10.2514/3.13168
5. Ozyoruk, Y., Long, L. N., and Jones, M. G., "Time-Domain Numerical Simulation of a Flow-Impedance Tube," Journal of Computational Physics, Vol. 146, Oct. 1998, pp. 29-57. doi:10.1006/jcph.1998.5919
6. Chevaugeon, N., Remade, J.-F., and Gallez, X., "Discontinuous Galerkin Implementation of the Extended Helmholtz Resonator Model in Time Domain," AIAA Paper 2006-2569, May 2006.
7. Fung, K.-Y., and Ju, H., "Broadband Time-Domain Impedance Models," AIAA Journal, Vol. 39. No. 8, Aug. 2001, pp. 1449-1454.
8. Botteldooren, D., "Finite-Difference Time-Domain Simulation of Low-Frequency Room Acoustic Problems," Journal of the Acoustical Society of America, Vol. 98, No. 6, Dec. 1995, pp. 3302-3308. doi:10.1121/1.413817
9. Zheng, S., and Zhuang, M., "Three-Dimensional Benchmark Problem for Broadband Time-Domain Impedance Boundary Conditions," AIAA Journal, Vol. 42, No. 2, Feb. 2004, pp. 405-407. doi:10.2514/1.9102
10. Zheng, S., and Zhuang, M., "Verification and Validation of Time-Domain Impedance Boundary Conditions in Lined Ducts," AIAA Journal, Vol. 43, No. 2, Feb. 2005, pp. 306-313. doi:10.2514/1.7214
11. Zhuang, M., Zheng, S., and Thiele, F., "Time-Domain Impedance Boundary Conditions for Slip Mean Flow Boundary," Proceedings in Applied Mathematics and Mechanics, Vol. 4, Dec. 2004, pp. 530-531. doi:10.1002/pamm.200410246
12. Li, X. D., and Thiele, F., "Numerical Computation of Sound Propagation in Lined Ducts by Time-Domain Impedance Boundary Conditions," AIAA Paper 2004-2902, May 2004.
13. Li, X. D., Richter, C., and Thiele, F., "Time-Domain Impedance Boundary Conditions for Surfaces with Subsonic Mean Flow," Journal of the Acoustical Society of America, Vol. 119, No. 5, May 2006, pp. 2665-2676. doi:10.1121/1.219160
14. Richter, C., Thiele, F., Li, X. D., and Zhuang, M., "Comparison of Time-Domain Impedance Boundary Conditions for Lined Duct Flows," AIAA Journal, Vol. 45, No. 6, June 2007, pp. 1333-1345. doi:10.2514/1.24945
15. Richter, C., and Thiele, F. H., "The Stability of Time Explicit Impedance Models," AIAA Paper 2007-3538, May 2007.
16. Lim, C. W., Cheong, C., Shin, S.-R., and Lee, S., "Time-Domain Numerical Computation of Noise Reduction by Diffraction and Finite Impedance of Barriers," Journal of Sound and Vibration, Vol. 268, Nov. 2003, pp.385-401. doi:10.1016/S0022-460X(02)01534-1
17. Reymen, Y., Baelmans, M., and Desmet, W., "Time-Domain Impedance Formulation based on Recursive Convolution," AIAA Paper 2006-2685, May 2006.
18. Reymen, Y., Baelmans, M., and Desmet, W., "Time- Domain Impedance Formulation Suited for Broadband Simulations," AIAA Paper 2007-3519, May 2007.
19. Rienstra, S. W., and Eversman, W., "A Numerical Comparison Between the Multiple Scales and Finite-Element Solution for Sound Propagation in Lined Flow Ducts," Journal of Fluid Mechanics, Vol. 437. June 2001, pp. 367-384. doi:10.1017/S0022112001004438
20. Reymen, Y., Baelmans, M., and Desmet, W., "Time-domain Simulation of 3D Lined Ducts with Flow by an Unstructured Discontinuous Galerkin Method," International Institute of Acoustics and Vibration Paper 519, July 2007.
21. Reymen, Y., De Roeck, W., Rubio, G., Baelmans, M., and Desmet, W., "A 3D Discontinuous Galerkin Method for Aeroacoustic Propagation," International Institute of Acoustics and Vibration Paper 387, July 2005.
22. Watson, W., "Benchmark Data for Evaluation of Aeroacoustic Propagation Codes with Grazing Flow," AIAA Paper 2005-2853, May 2005.
23. Keefe, L. R., and Reisenthel, P. H., "Time-Domain Characterization of Acoustic Liner Response from Experimental Data Part 1: Linear Response,"AIAA Paper 2005-3060, May 2005.
24. Ju, H., and Fung, K.-Y., "Time-Domain Impedance Boundary Conditions with Mean Flow Effects," AIAA Journal, Vol. 39. No. 9, Sept. 2001, pp. 1683-1690.
25. Luebbers, R. J., "FDTD for Nth Order Dispersive Media," IEEE Transactions on Antennas and Propagation, Vol. 40, No. 11, Nov. 1992, pp. 1297-1301. doi:10.1109/8.202707
26. Kelley, D. F., and Luebbers, R. J., "Piecewise Linear Recursive Convolution for Dispersive Media Using FDTD," IEEE Transactions on Antennas and Propagation, Vol. 44, No. 6, June 1996, pp. 792-797. doi:10.1109/8.509882
27. Carpenter, M. H., and Kennedy, C. A., "A Fourth-Order 2N-Storage Runge-Kutta Scheme," NASA TM 109112, June 1994.
28. Ainsworth, M., "Dispersive and Dissipative Behaviour of High Order Discontinuous Galerkin Finite Element Methods," Journal of Computational Physics, Vol. 198, July 2004, pp. 106-130. doi:10.1016/j.jcp.2004.01.004
29. Ingard, U., "Influence of Fluid Motion Past a Plane Boundary on Sound Reflection, Absorption and Transmission," Journal of the Acoustical Society of America, Vol. 31,No. 7, July 1959, pp. 1035-1036. doi:10.1121/1.1907805
30. Myers, M. K., "On the Acoustic Boundary Condition in the Presence of Flow," Journal of Sound and Vibration, Vol. 71. No. 3, Aug. 1980, pp. 429-434. doi:10.1016/0022-460X(80)90424-1