Coupling the BEM/TBEM and the MFS for the numerical simulation of acoustic wave propagation

Engineering Analysis with Boundary Elements

Volumn 34, Issue 4, 2010, Pages 405-416

  Tadeu, António ^a   António, Julieta ^a   Castro, Igor ^a  

^a UNIVERSITY OF COIMBRA   (Portugal)

Author keywords

Acoustic barriers; Acoustic wave propagation; TBEM+BEM MFS coupling; TBEM MFS coupling

Indexed keywords

ACOUSTIC ATTENUATION; ACOUSTIC BARRIERS; ACOUSTIC BEHAVIOR; FLUID-FILLED; METHOD OF FUNDAMENTAL SOLUTIONS; NUMERICAL SIMULATION; RAILWAY TRACK; REFERENCE SOLUTION; SUB-DOMAINS; TBEM+BEM/MFS COUPLING; TRACTION BOUNDARY ELEMENT METHOD; TRAIN STATIONS;

ACOUSTIC WAVE PROPAGATION; ACOUSTIC WAVES; ALGORITHMS; COMPUTER SIMULATION; ELECTROMAGNETIC WAVE SCATTERING; INCLUSIONS; RAILROADS; TRANSIENT ANALYSIS; UNDERWATER ACOUSTICS;

BOUNDARY ELEMENT METHOD;

EID: 74449090425     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2009.11.003     Document Type: Article

References (30)

1. Kausel E. Thin-layer method: formulation in the time domain. International Journal for Numerical Methods in Engineering 37 6 (1994) 927-941
2. In: Wu T.W. (Ed) (2000), WIT Press, Southampton
3. Ihlenburg F, Germanischer L. Finite element analysis of acoustic scattering (Applied Mathematical Sciences). Springer; 1998.
4. Thompson LL. A review of finite-element methods for time-harmonic acoustics. The Journal of the Acoustical Society of America 119 3 (2006) 1315-1330
5. Savioja L, Rinne T, Takala T. Simulation of room acoustics with a 3-D finite difference mesh. Proc ICMC'94, Aarhus, Denmark, 1994; 463-466.
6. Kulowski A. Algorithmic representation of the ray tracing technique. Applied Acoustics 18 (1985) 449-469
7. Dell'erba D.N., Aliabadi M.H., and Rooke DP. Dual boundary element method for three-dimensional thermoelastic crack problems. International Journal Fracture 94 (1998) 89-101
8. Rudolphi TJ. The use of simple solutions in the regularisation of hypersingular boundary integral equations. Mathematical and Computer Modelling 15 (1991) 269-278
9. Watson JO. Hermitian cubic boundary elements for plane problems of fracture mechanics. International Journal for Structural Mechanics and Material Science 4 (1982) 23-42
10. Watson JO. Singular boundary elements for the analysis of cracks in plane strain. International Journal of Numerical Methods in Engineering 38 (1995) 2389-2411
11. Amado Mendes P., and Tadeu A. Wave propagation in the presence of empty cracks in an elastic medium. Computational Mechanics 38 3 (2006) 183-199
12. Prosper D, Kausel E. Wave scattering by cracks in laminated media. Proc. of the Int. Conf. on Computational Engineering and Science ICES'01, Puerto Vallarta, Mexico; 2001.
13. Tadeu A., Amado Mendes P., and António J. 3D elastic wave propagation modelling in the presence of 2D fluid-filled thin inclusions. Engineering Analysis with Boundary Elements 30 3 (2006) 176-193
14. Tadeu A., Amado Mendes P., and António J. The simulation of 3D elastic scattering produced by thin rigid inclusions using the traction boundary element method. Computers and Structures 84 31-32 (2006) 2244-2253
15. Tadeu A., António J., Amado Mendes P., and Godinho L. Sound pressure level attenuation provided by thin rigid screens coupled to tall buildings. Journal of Sound and Vibration 304 3-5 (2007) 479-496
16. António J., Tadeu A., and Amado Mendes P. A 2.5D traction boundary element method formulation applied to the study of wave propagation in a fluid layer hosting a thin rigid body. Journal of Computational Acoustics 16 2 (2007) 177-198
17. Fairweather G., and Karageorghis A. The method of fundamental solutions for elliptic boundary value problems. Advances in Computational Mathematics 9 (1998) 69-95
18. Fairweather G., Karageorghis A., and Martin PA. The method of fundamental solutions for scattering and radiation problems. Engineering Analysis with Boundary Elements 27 (2003) 759-769
19. Chen JT., Chang MH., Chen KH., and Chen IL. Boundary collocation method for acoustic eigenanalysis of three-dimensional cavities using radial basis function. Computational Mechanics 29 (2002) 392-408
20. Song K., Zhang X., and Lu M. Meshless method based on collocation with consistent compactly supported radial basis functions. Acta Mechanica Sinica 20 5 (2004) 551-557
21. Smyrlis Y.-S. The method of fundamental solutions: a weighted least-squares approach. BIT 46 (2006) 163-194
22. Brown D., Ling L., Kansa E., and Levesley J. On approximate cardinal preconditioning methods for solving PDEs with radial basis functions. Engineering Analysis with Boundary Elements 29 (2005) 343-353
23. Godinho L., Tadeu A., and Simões NA. Accuracy of the MFS and BEM on the analysis of acoustic wave propagation and heat conduction problems. In: Sladek J., and Sladek V. (Eds). Advances in Meshless Methods (2006), Tech Science Press
24. Godinho L., Tadeu A., and Amado Mendes P. Wave propagation around thin structures using the MFS. Computers Materials and Continua 5 (2007) 117-128
25. Godinho L., Amado Mendes P., Tadeu A., Cadena-Isaza A., Smerzini C., Sánchez-Sesma FJ., et al. Numerical simulation of ground rotations along 2D topographical profiles under the incidence of elastic plane waves. Bulletin of the Seismological Society of America 99 2B (2009) 1147-1161
26. Alves C.J.S., and Leitão V. Crack analysis using an enriched MFS domain decomposition technique. Engineering Analysis with Boundary Elements 30 3 (2006) 160-166
27. Manolis GD., and Beskos DE. Boundary Element Methods in Elastodynamics (1988), Unwin Hyman (sold to Chapman and Hall), London
28. Tadeu A., Santos P., and Kausel E. Closed-form integration of singular terms for constant, linear and quadratic boundary elements. Part I. SH wave propagation. Engineering Analysis with Boundary Elements 23 8 (1999) 671-681
29. Tadeu A., Amado Mendes P., and António J. 3D elastic wave propagation modelling in the presence of 2D fluid-filled thin inclusions. Engineering Analysis with Boundary Elements 30 3 (2006) 176-193
30. Guiggiani M. Formulation and numerical treatment of boundary integral equations with hypersingular kernels. In: Sladek V., and Sladek J. (Eds). Singular Integrals in Boundary Element Methods (1998), Computational Mechanics Publications, Southampton and Boston