Spline-based boundaries: A first step towards generic geometric domain descriptions for efficient mid-frequency acoustic analysis using the Wave Based Method

Journal of Computational and Applied Mathematics

Volumn 235, Issue 8, 2011, Pages 2679-2693

  Deckers, E ^a   Drofmans, B ^a   Van Genechten, B ^a   Bergen, B ^a   Vandepitte, D ^a   Desmet, W ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

B splines; Numerical acoustics; Trefftz; Wave Based Method

Indexed keywords

ACOUSTIC ANALYSIS; ACOUSTIC BEHAVIOR; B SPLINES; COMPARATIVE STUDIES; COMPUTATIONAL BURDEN; DESIGN PROCESS; DOMAIN DESCRIPTION; DYNAMIC FIELDS; EXACT SOLUTION; GAUSS-LEGENDRE; GEOMETRICAL FLEXIBILITY; GOVERNING DIFFERENTIAL EQUATIONS; LOW FREQUENCY; MID-FREQUENCY; NUMERICAL ACOUSTICS; NUMERICAL INTEGRATION TECHNIQUES; NUMERICAL INTEGRATIONS; NUMERICAL SIMULATION; ROMBERG INTEGRATION; TREFFTZ; WAVE BASED METHOD; WEIGHTED RESIDUAL FORMULATION;

COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; FREQUENCY DOMAIN ANALYSIS; INTEGRATION; NUMERICAL METHODS; SPLINES;

FINITE ELEMENT METHOD;

EID: 79251593672     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2010.11.020     Document Type: Article

References (29)

1. O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu, and P. Nithiarasu The Finite Element Method The Three Volume Set 6th ed. 2005 ButterworthHeinemann
2. O. Von Estorff Boundary Elements in Acoustics: Advances and Applications 2000 WIT Press
3. R. Freymann Advanced Numerical and Experimental Methods in the Field of Vehicle Structural-Acoustics 2000 Hieronymus Buchreproduktions GmbH Mnchen
4. S. Marburg Six boundary elements per wavelength: is that enough? J. Comput. Acoust. 10 2002 25 51
5. R.H. Lyon, and R.G. DeJong Theory and Application of Statistical Energy Analysis 2nd ed. 1995 ButterworthHeinemann
6. I. Harari A survey of finite element methods for time-harmonic acoustics Comput. Methods Appl. Mech. Eng. 195 2006 1594 1607
7. L.L. Thompson A review of finite element methods for time-harmonic acoustics J. Acoust. Soc. Am. 119 2006 1315 1330
8. W. Desmet, A wave based prediction technique for coupled vibro-acoustic analysis, Ph.D. Thesis, Katholieke Universiteit Leuven, division PMA, 98D12, 1998.
9. E. Trefftz, Ein Gegenstck zum Ritzschen Verfahren, in: Proceedings of the 2nd International Congress on Applied Mechanics, Zrich, Switzerland, 1926, pp. 131137.
10. B. Pluymers, B. Van Hal, D. Vandepitte, and W. Desmet Trefftz-based methods for time-harmonic acoustics Arch. Comput. Methods Eng. 14 2007 343 381
11. B. Van Hal, W. Desmet, and D. Vandepitte A coupled finite element-wave based approach for the steady state dynamic analysis of acoustic systems J. Comput. Acoust. 11 2003 285 303
12. C. Vanmaele, D. Vandepitte, and W. Desmet An efficient wave based prediction technique for plate bending vibrations Comput. Methods Appl. Mech. Engrg. 196 2007 3178 3189
13. C. Vanmaele, D. Vandepitte, and W. Desmet An efficient wave based prediction technique for dynamic plate bending problems with corner stress singularities Comput. Methods Appl. Mech. Engrg. 198 2009 2227 2245
14. B. Pluymers, W. Desmet, D. Vandepitte, and P. Sas On the use of a wave based prediction technique for steady-state structural-acoustic radiation analysis J. Comput. Model. Eng. Sci. 7 2005 173 184
15. B. Pluymers, W. Desmet, D. Vandepitte, and P. Sas Application of an efficient wave based prediction technique for the analysis of vibro-acoustic radiation problems J. Comput. Appl. Math. 168 2004 353 364
16. B. Van Genechten, D. Vandepitte, W. Desmet, A direct hybrid finite element wave based modelling technique for efficient mid-frequency coupled vibro-acoustic analysis, Comput. Methods Appl. Mech. Engrg. (2010) in press (doi:10.1016/j.cma.2010.09.017 ).
17. B. Van Genechten, D. Vandepitte, and W. Desmet A Trefftz-based numerical modelling framework for Helmholtz problems with complex multiple scatterer configurations J. Comput. Phys. 229 2010 6623 6643
18. B. Van Genechten, K. Vergote, D. Vandepitte, and W. Desmet A multi-level wave based numerical modelling framework for the steady-state dynamic analysis of bounded Helmholtz problems with multiple inclusions Comput. Methods Appl. Mech. Engrg. 199 2010 1881 1905
19. L. Piegl, and W. Tiller The NURBS Book 2nd ed. 1997 Springer
20. W. Press, S. Teukolsky, W. Vetterling, and B. Flannery Numerical Recipes in F77. The Art of Scientific Computing 2nd ed. 1992 Cambridge University Press
21. J. Dutka Richardson extrapolation and Romberg integration Hist. Math. 11 1984 3 21
22. B. Pluymers, A wave based prediction technique for coupled vibro-acoustic analysis, Ph.D. Thesis, Faculty of Engineering, Katholieke Universiteit Leuven, Belgium, 2006.
23. A.P. Zielinski, and I. Herrera Trefftz method: fitting boundary conditions Int. J. Numer. Method. Eng. 24 1987 871 891
24. T. Huttunen, P. Gamallo, and R.J. Astley Comparison of two wave element methods for the Helmholtz problem Comm. Numer. Method. Engrg. 25 2009 35 52
25. M. De Munck, Y. Reymen, Een Trefftz-gebaseerde voorspellingstechniek voor vibroakoestische problemen: performantie-optimalisatie en domeinkoppeling, Master Thesis, Faculty of Engineering, Katholieke Universiteit Leuven. Belgium, 2003.
26. B. Van Hal, Automation and performance optimization of the wave based method for interior structural-acoustic problems, Ph.D. Thesis, Faculty of Engineering, Katholieke Universiteit Leuven, 2004.
27. C.A. Brebbia, J.C.F. Telles, and L.C. Wrobel Boundary Element Techniques, Theory and Applications in Engineering 1984 Springer-Verlag
28. The MathWorks, 2009. http://www.mathworks.com/access/helpdesk/help/ helpdesk.html.
29. LMS SYSNOISE Rev 5.6: Computational Vibro-Acoustics, On-line User's manual, LMS International NV, Interleuvenlaan 68, Leuven, Belgium, 2002.