An efficient realization of frequency dependent boundary conditions in an acoustic finite-difference time-domain model

Journal of Sound and Vibration

Volumn 316, Issue 1-5, 2008, Pages 234-247

  Escolano, José ^a,b   Jacobsen, Finn ^a   López, José J ^b  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^b ITEAM RESEARCH INSTITUTE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIGITAL FILTERS; FINITE DIFFERENCE TIME DOMAIN METHOD; NATURAL FREQUENCIES;

COMPUTATIONAL COSTS; INTERACTION MODELS;

BOUNDARY CONDITIONS;

EID: 44649198266     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2008.02.035     Document Type: Article

References (42)

1. Botteldooren D. Finite-difference time-domain simulation in a quasi-Cartesian grid. Journal of the Acoustical Society of America 95 (1994) 2313-2319
2. Botteldooren D. Finite-difference time-domain simulation of low-frequency room acoustic problems. Journal of the Acoustical Society of America 98 (1995) 3302-3308
3. Lovetri J., Mardare D., and Soulodre G. Modeling of the seat dip effect using the finite-difference time-domain method. Journal of the Acoustical Society of America 100 (1996) 2204-2212
4. Dong H., Kaynia A.M., Madshus C., and Hovem J.M. Sound propagation over layered poro-elastic ground using a finite-difference model. Journal of the Acoustical Society of America 108 (2000) 494-502
5. Fung K.Y., and Ju H. Time-domain impedance boundary conditions for computational acoustics and aeroacoustics. Journal of Computational Fluid Dynamics 18 (2004) 503-511
6. Sullivan D.M. A frequency-dependent FDTD method using Z transforms. IEEE Transactions on Antennas and Propagation 40 (1992) 1223-1230
7. Heutschi K., Horvath M., and Hofmann J. Simulation of ground impedance in finite difference time domain calculations of outdoor sound propagation. Acta Acustica united with Acustica 91 (2005) 35-40
8. M. Karjalainen, C. Erkut, L. Savioja, Compilation of unified physical models for efficient sound synthesis, International Conference on Acoustics, Speech and Signal Processing (ICASSP'03), Hong Kong, China, 2003.
9. Fettweis A. Wave digital filters: theory and practice. Proceeding of the IEEE 74 (1986) 270-327
10. Yee K.S. Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. IEEE Transactions on Antennas and Propagation 14 (1966) 302-307
11. J.G. Maloney, K.E. Cummings, Adaptation of FDTD techniques to acoustic modelling, 11th Annual Review of Progress in Applied Computational Electromagnetics, Vol. 2, Monterey, CA, USA, 1995, pp. 724-731.
12. J. P. Thomas, An Investigation of the Upwind Leapfrog Method for Scalar Advection and Acoustic/Aeroacoustic Wave Propagation Problems, PhD Thesis, University of Michigan, Ann Arbor, MI, 1996.
13. Roe P. Linear bicharacteristic schemes without dissipation. SIAM Journal on Scientific Computing 19 5 (1998) 1405-1427
14. Taflove A. Computational Electromagnetics (1995), Artech House, Boston, MA
15. L. Savioja, T. J. Rinne, T. Takala, Simulation of room acoustics with a 3-D finite difference mesh, Proceedings of the International Computer Music Conference (ICMC'94), Aarhus, Denmark, 1994, pp. 463-466.
16. Escolano J., López J.J., and Pueo B. Directive sources in acoustic discrete-time domain simulations based on directivity diagrams. Journal of the Acoustical Society of America 121 6 (2007) EL256-EL262
17. Chaigne A., and Askenfelt A. Numerical simulations of piano strings-Part I: a physical model for a struck string using finite difference methods. Journal of the Acoustical Society of America 95 2 (1994) 1112-1118
18. Bensa J., Bilbao S., Kronland-Martinet R., and Smith J.O. The simulation of piano string vibration: from physical models to finite difference schemes and digital waveguides. Journal of the Acoustical Society of America 114 2 (2003) 1095-1107
19. Karjalainen M., and Erkut C. Digital waveguides vs. finite difference schemes: equivalence and mixed modeling. EURASIP Journal on Applied Signal Processing 2004 (2004) 978-989
20. Liu L., and Albert D. Acoustic pulse propagation near a right-angle wall. Journal of the Acoustical Society of America 119 4 (2006) 2073-2083
21. Botteldooren D. Time-domain simulation of the influence of close barriers on sound propagation to the environment. Journal of the Acoustical Society of America 101 (1997) 1278-1285
22. Ostashev V., Wilson D., Liu L., Aldridge D., Symons N., and Marlin D. Equations for finite-difference time-domain simulation of sound propagation in moving inhomogeneous media and numerical implementation. Journal of the Acoustical Society of America 117 (2005) 503-517
23. Strikwerda J. Finite Difference Schemes and Partial Differential Equations (1989), Wadsworth and Brooks/Cole, Pacific Grove, CA, USA
24. Parks T.W., and Burrus C.S. Digital Filter Design (1987), Wiley, New York
25. Friedlander B., and Porat B. The Modified Yule-Walker Method of ARMA spectral estimation. IEEE Transactions on Aerospace Electronic Systems 20 2 (1984) 158-173
26. Proakis J.G., and Manolakis D.G. Digital Signal Processing. third ed. (1996), Prentice Hall International, NJ, USA
27. Özyörük Y., and Long L.N. A time-domain implementation of surface acoustic impedance condition with and without flow. Journal of Computational Acoustics 5 (1997) 277-296
28. Bilbao S. Wave and Scattering Methods for the Numerical Integration of Partial Differential Equations (2004), Wiley, New York
29. S. Petrausch, J. Escolano, R. Rabenstein, A general approach to block-based physical modeling with mixed modeling strategies for digital sound synthesis, International Conference on Acoustics, Speech and Signal Processing (ICASSP'05), Philadelphia, USA, 2005.
30. Beranek L.L. Acoustics, Acoustical Society of America (1993), American Institute of Physics, Woodbury, NY, USA
31. Fettweis A. Pseudopassivity, sensitivity, and stability of wave digital filters. IEEE Transactions on Circuit Theory 19 (1972) 668-673
32. Petrausch S., and Rabenstein R. Interconnection of state space structures and wave digital filters. IEEE Transactions on Circuits and Systems II 52 (2004) 90-93
33. Kuttruff H. Room Acoustics. fourth ed. (2000), Spon Press, New York
34. Delany M.E., and Bazley E.N. Acoustical properties of fibrous absorbents materials. Applied Acoustics 3 (1970) 105-116
35. Yuan X., Borup D., Wiskin J.W., Berggren M., Eidens R., and Johnson S.A. Formulation and validation of Berenger's PML absorbing boundary for the FDTD simulation of acoustic scattering. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control 44 (1997) 816-822
36. Butov P.A. Reflection of a spherical wave from an impedance boundary. Soviet Physical Acoustics 27 (1981) 191-193
37. Taflove A. Review of the formulation and applications of the finite-difference time-domain method for numerical modeling of electromagnetic wave interaction with arbitrary structures. Wave Motion 10 (1998) 547-582
38. J. Huopaniemi, L. Savioja, M. Karjalainen, Modelling of reflections and air absorption in acoustical spaces-a digital filter design approach, Proceedings of the IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA'97), New York, USA, 1997.
39. Murphy D.T., and Beeson M. The KW-boundary hybrid digital waveguide mesh for room acoustics applications. IEEE Transactions on Audio, Speech and Language Processing 15 2 (2007) 552-564
40. S.A. Van Duyne, J. O. Smith, Physical modeling with the 2-D digital waveguide mesh, Proceedings of the 1993 International Computer Music Conference, Tokyo, Japan, 1993, pp. 40-47.
41. Savioja L., Huopaniemi J., Lokki T., and Vaananen R. Creating interactive virtual acoustic environments. Journal of the Audio Engineering Society 47 9 (1999) 675-705
42. Escolano J., and Jacobsen F. A note on the physical interpretation of frequency dependent boundary conditions in a digital waveguide mesh. Acta Acustica united with Acustica 93 3 (2007) 398-402