A unified approach to finite and boundary element discretization in linear time-harmonic acoustics

Computational Acoustics of Noise Propagation in Fluids -Finite and Boundary Element Methods

Volumn , Issue , 2008, Pages 1-34

  Marburg, Steffen ^a   Nolte, Bodo ^b  

^a INSTITUTE OF SOLID MECHANICS   (Germany)

^b Forschungsanstalt der Bundeswehr fur Wasserschall und Geophysik FWG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84878929092     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-540-77448-8_1     Document Type: Chapter

References (111)

1. Ainsworth M, Davies P, Duncan D, Martin P, Rynne B (eds) (2003) Topics in computational wave propagation and inverse problems. Springer-Verlag, Berlin-Heidelberg-New York
2. Amini S, Harris PJ, Wilton DT (1992) Coupled boundary and finite element methods for the solution of the dynamic fluid-structure interaction problem. Springer-Verlag, Berlin
3. Anderssohn R, Marburg S (2007) Non-linear approach to approximate acoustic boundary admittance in cavities. Journal of Computational Acoustics 15:63-79
4. Anderssohn R, Marburg S, Großmann C (2006) FEM-based reconstruction of sound pressure field damped by partially absorbing boundary conditions. Mechanics Research Communication 33:851-859
5. Astley RJ (2000) Infinite elements for wave problems: A review of current formulations and an assessment of accuracy. International Journal for Numerical Methods in Engineering 49:951-976
6. Astley RJ, Coyette J-P (2001) The performance of spheroidal infinite elements. International Journal of Numerical Methods in Engineering 52:1379-1396
7. Astley J, Gerdes K, Givoli D, Harari I (eds) (2000) Special issue: Finite elements for wave propagation. Journal of Computational Acoustics 8(1)
8. Atalla N, Sgard F, Amedin CK (2006) On the modeling of sound radiation from poroe-lastic materials. Journal of the Acoustical Society of America 120:1990-1995
9. Batifol C, Zielinski TG, Ichchou MN, Galland M-A (2007) A finite-element study of a piezoelectric/poroelastic sound package concept. Smart Materials & Structures 16:168-177
10. Belegundu AD, Salagame RR, Koopmann GH (1994) A general optimization strategy for sound power minimization. Structural Optimization 8:113-119
11. Bermúdez A, Ferrín JL, Prieto A (2006) Finite element solution of new displacement/pressure poroelastic models in acoustics. Computer Methods in Applied Mechanics and Engineering 195:1914-1932
12. Bermúdez A, Hervella-Nieto L, Prieto A, Rodríguez R (2007) Validation of acoustic models for time harmonic dissipative scattering problems. Journal of Computational Acoustics 15:95-121
13. Borgiotti GV (1990) The power radiated by a vibrating body in an acoustic fluid and its determination from acoustic measurements. Journal of the Acoustical Society of America 88:1884-1893
14. Burnett D (1994) A three-dimensional acoustic infinite element based on a prolate spheroidal multipole expansion. Journal of the Acoustical Society of America 96:2798-2816
15. Chen ZS, Hofstetter G, Mang HA (1993) A 3d boundary element method for determination of acoustic eigenfrequencies considering admittance boundary conditions. Journal of Computational Acoustics 1:455-468
16. Christensen ST, Sorokin SV, Olhoff N (1998) On analysis and optimization in structural acoustics. Part I: Problem formulation and solution techniques. Structural Optimization 16:83-95
17. Christensen ST, Sorokin SV, Olhoff N (1998) On analysis and optimization in structural acoustics. Part II: Exemplifications for axisymmetric structures. Structural Optimization 16:96-107
18. Ciskowski RD, Brebbia CA (eds) (1991) Boundary elements in acoustics. Computational Mechanics Publications and Elsevier Applied Science, Southampton-Boston
19. Conca C, Planchard J, Vanninathan M (1997) Fluids and periodic structures. John Wiley & Sons, Chichester
20. Cottereau R, Clouteau D, Soize C (2007) Construction of a probabilistic model for impedance matrices. Computer Methods in Applied Mechanics and Engineering 196:2252-2268
21. Coyette J-P, Wynendaele H, Chargin MK (1993) A global acoustic sensitivity tool for improving structural design. Proceedings-SPIE The International Society for Optical Engineering 1923:1389-1394
22. Cremers L, Guisset P, Meulewaeter L, Tournour M (2000) A computer-aided engineering method for predicting the acoustic signature of vibrating structures using discrete models. Great Britain Patent No. GB 2000-16259
23. Crighton D, Dowling A, Ffowcs-Williams J, Heckl M, Leppington F (1992) Modern methods in analytical acoustics (Lecture Notes). Springer-Verlag, London
24. Cunefare KA (1990) The design sensitivity and control of acoustic power radiated by three-dimensional structures. PhD Thesis, The University of Pennsylvania
25. Cunefare KA (1991) The minimum multi-modal radiation efficiency of baffled finite beams. Journal of the Acoustical Society of America 90:2521-2529
26. Dong J, Choi KK, Kim N-H (2004) Design optimization of structural-acoustic problems using FEA-BEA with adjoint variable method. ASME Journal of Mechanical Design 126:527-533
27. Elman HC, Ernst OG, O'Leary DP, Stewart M (2005) Efficient iterative algorithms for the stochastic finite element method with application to acoustic scattering. Computer Methods in Applied Mechanics and Engineering 194:1037-1055
28. Engelstad SP, Cunefare KA, Powell EA, Biesel V (2000) Stiffener shape design to minimize interior noise. Journal of Aircraft 37:165-171
29. Estorff O von (ed) (2000) Boundary elements in acoustics: Advances and applications. WIT Press, Southampton
30. Fritze D, Marburg S, Hardtke H-J (2005) FEM-BEM-coupling and structural-acoustic sensitivity analysis for shell geometries. Computers & Structures 83:143-154
31. Füldner M, Dehe A, Aigner R, Lerch R (2005) Analytical analysis and finite element simulation of advanced membranes for silicon microphones. IEEE Sensors Journal, 5(5):857-863, 2005
32. Gan RZ, Sun Q, Feng B, Wood MW (2006) Acoustic-structural coupled finite element analysis for sound transmission in human ear-Pressure distributions. Medical Engineering & Physics 28:395-404
33. Geers TL (ed) (1998) Iutam Symposium on computational methods for unbounded domains. Proceedings of the IUTAM Symposium held in Boulder, Colorado. Kluwer Academic Publishers, Dortrecht
34. Ghanem R, Sarkarb A (2003) Reduced models for the medium-frequency dynamics of stochastic systems. Journal of the Acoustical Society of America 113:834-846
35. Ghanem R, Spanos P (1991) Stochastic finite elements: a spectral approach. Springer-Verlag, Berlin
36. Givoli D (1992) Numerical methods for problems in infinite domains. Elsevier, Amsterdam
37. Givoli D, Harari I (eds) (1998) Special issue: Exterior problems of wave propagation Computer Methods in Applied Mechanics and Engineering 164(1)&(2)
38. Givoli D (1999) Recent advances in the DtN finite element method for unbounded domains. Archives of Computational Methods in Engineering. State of the art reviews 6:71-116
39. Hambric SA (1995) Approximation techniques for broad-band acoustic radiated noise design optimization problems. Journal of Vibration and Acoustics 117:136-144
40. Hanss M (2005) Applied fuzzy arithmetic. An introduction with engineering applications. Springer-Verlag, Berlin
41. Harari I (2006) A survey of finite element methods for time-harmonic acoustics. Computer Methods in Applied Mechanics and Engineering 195:1594-1607
42. Harari I, Grosh K, Hughes TJR, Malhotra M, Pinsky PM, Stewart JR, Thompson LL (1996) Recent development in finite element methods for structural acoustics. Archives of Computational Methods in Engineering 3:131-309
43. Harari I, Hughes TJR (1992) A cost comparison of boundary element and finite element methods for problems of time-harmonic acoustics. Computer Methods in Applied Mechanics and Engineering 97:77-102
44. Helmig R, Mielke A, Wohlmuth BI (2006) Multifield problems in solid and sluid mechanics (Lecture Notes in Applied and Computational Mechanics.) Springer-Verlag, Berlin-Heidelberg-New York
45. Hepberger A, Volkwein S, Diwoky F, Priebsch H-H (2006) Impedance identification out of pressure data's with a hybrid measurement-simulation methodology up to 1kHz. Proceedings of ISMA 4513-4523
46. Howe MS (2004) Acoustics of fluid-structure interactions. Cambridge Monographs on Mechanics
47. Ihlenburg F (1998) Finite element analysis of acoustic scattering. Springer-Verlag, New Yo r k
48. Ihlenburg F (ed) (2003) Special issue: Computational methods for vibroacoustic simulation in the medium-frequency range. Journal of Computational Acoustics 11(2)
49. Ishiyama S-I, Imai M, Maruyama S-I, Ido H, Sugiura N, Suzuki S (1988) The application of ACOUST/BOOM-A noise level prediction and reduction code. SAE-paper 880910:195-205
50. Jog CS (2002) Topology design of structures subjected to periodic load. Journal of Sound and Vibration 253:687-709
51. Kaltenbacher M (2007) Numerical simulation of mechatronic sensors and actuators. Springer-Verlag, Berlin-Heidelberg-New York
52. Kaltenbacher M, Ettinger K, Lerch R, Tittmann B (1998) Finite element analysis of coupled electromagnetic acoustic systems. IEEE Transactions on Magnetics 35:1610-1613
53. Kessels PHL (2001) Engineering toolbox for structural-acoustic design. Applied to MRI-scanners. PhD Thesis, Technische Universiteit Eindhoven
54. Kim Y-K, Kim Y-H (1999) Holographic reconstruction of active sources and surface admittance in an enclosure. Journal of the Acoustical Society of America 105:2377-2383
55. Kirkup SM (1998) The boundary element method in acoustics. Integrated Sound Software, Heptonstall
56. Kollmann FG (1999) Maschinenakustik. Grundlagen, Meßtechnik, Berechnung, Beeinflussung. Springer-Verlag, Berlin-Heidelberg
57. Koopmann GH, Fahnline JB (1997) Designing quiet structures: A sound power minimization approach. Academic Press, San Diego-London
58. Lamancusa JS, Eschenauer HA (1994) Design optimization methods for rectangular panels with minimal sound radiation. AIAA Journal 32:472-479
59. Langley RS, Bremner P (1999) A hybrid method for the vibration analysis of complex structural-acoustic systems. Journal of the Acoustical Society of America 105:1657-1671
60. Mace BR, Worden K, Manson G (eds) (2005) Special Issue: Uncertainty in structural dynamics. Journal of Sound and Vibration 288(3)
61. Magoul'es F (ed) (2005) Special issue: Innovative computational methods for wave propagation. Journal of Computational Acoustics 13(3)
62. Magoul'es F (ed) (2006) Special issue: High performance computing for wave propagation. Journal of Computational Acoustics 14(1)
63. Marburg S (2002) Developments in structural-acoustic optimization for passive noise control. Archives of Computational Methods in Engineering. State of the art reviews, 9:291-370
64. Marburg S (2002) Efficient optimization of a noise transfer function by modification of a shell structure geometry. Part I: Theory. Structural and Multidisciplinary Optimization 24:51-59
65. Marburg S (2006) Normal modes in external acoustics. Part III: Sound power evaluation based on frequency-independent superposition of modes. Acta Acustica united with Acustica 92:296-311
66. Marburg S (ed) (2003) Special Issue: Numerical methods. Journal of Computational Acoustics 11(3)
67. Marburg S, Beer H-J, Gier J, Hardtke H-J, Rennert R, Perret F (2002) Experimental verification of structural-acoustic modeling and design optimization. Journal of Sound and Vibration 252:591-615
68. Marburg S, Dienerowitz F, Fritze D, Hardtke H-J (2006) Case studies on structural-acoustic optimization of a finite beam. Acta Acustica united with Acustica 92:427-439
69. Marburg S, Hardtke H-J (1999) A study on the acoustic boundary admittance. Determination, results and consequences. Engineering Analysis with Boundary Elements 23:737-744
70. Marburg S, Hardtke H-J, Schmidt R, Pawandenat D (1997) An application of the concept of acoustic influence coefficients for the optimization of a vehicle roof. Engineering Analysis with Boundary Elements 20:305-310
71. Marburg S, Nolte B (eds) (2005) Special Issue: Boundary element methods. Journal of Computational Acoustics 13(1)
72. Marburg S, Schneider S (2003) Performance of iterative solvers for acoustic problems. Part I. Solvers and effect of diagonal preconditioning. Engineering Analysis with Boundary Element 27:727-750
73. Mechel FP (ed) (2002) Formulas of acoustics. Springer-Verlag, Berlin-Heidelberg-New York
74. Moens D, Vandepitte D (2006) Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis. Archives of Computational Methods in Engineering 13:389-464
75. Morand HJP, Ohayon R (1995) Fluid structure interaction. John Wiley & Sons, Chich-ester
76. Munjal ML (ed) (2002) IUTAM Symposium on designing for quietness. Kluwer Academic Publishers, Dortrecht-Boston-London
77. Nava GP, Sato Y, Yasuda Y, Sakamoto S (2006) An inverse method for in-situ estimation of acoustic surface impedance targeting inverse sound rendering in rooms. In: Proceedings of the Inter-Noise 2006, Honolulu (CD)
78. Nédélec JC (2000) Acoustic and electromagnetic equations. Integral representations for harmonic problems. Springer-Verlag, New York
79. Nolte B (2005) Reconstruction of sound sources by means of a proper boundary element formulation. Journal of Computational Acoustics 13:187-201
80. Nolte B, Marburg S (eds) (2007) Special Issue: Efficient numerical methods. Journal of Computational Acoustics 15(1)
81. Nolte B, Marburg S (eds) (2007) Special Issue: Wave-based numerical methods. Journal of Computational Acoustics 15(4)
82. Ochmann M (ed) (2003) Special issue: Computational acoustics: FEM, BEM, structural optimization, and additional numerical methods. Acta Acustica united with Acustica 89(1)
83. Ohayon R, Soize C (1998) Structural acoustics and vibration. Academic Press, New Yo r k
84. Oliveira Rosa M, Pereira JC, Grellet M, Alwan A (2003) A contribution to simulating a three-dimensional larynx model using the finite element method. Journal of the Acoustical Society of America 114:2893-2905
85. Otsuru T, Sakuma T, Sakamoto S (2005) Constructing a database of computational methods for environmental acoustics. Acoustical Science and Technology 26:221-224
86. Pal C, Hagiwara I (1993) Dynamic analysis of a coupled structural-acoustic problem. Simultaneous multi-modal reduction of vehicle interior noise level by combined optimization. Finite Elements in Analysis and Design 14:225-234
87. Panneton R, Atalla N (1997) An efficient finite element scheme for solving the three-dimensional poroelasticity problem in acoustics. Journal of the Acoustical Society of America 101:3287-3298
88. Photiadis DM (1990) The relationship of singular value decomposition to wave-vector filtering in sound radiation problems. Journal of the Acoustical Society of America, 88:1152-1159
89. Richter A, Stiller J, Grundmann R (2007) Stabilized discontinuous Galerkin methods for flow-sound interaction. Journal of Computational Acoustics 15:123-143
90. Rusch PA, Dhingra AK (2002) Numerical and experimental investigation of the acoustic and flow performance of intake systems. Journal of Vibration and Acoustics 124:334-339
91. Sarkissian A (1991) Acoustic radiation from finite structures. Journal of the Acoustical Society of America 90:574-578
92. Schanz M (2001) Wave propagation in viscoelastic and poroelastic continua: a boundary element approach. Lecture Notes in Applied Mechanics. Springer-Verlag, Berlin-Heidelberg-New York
93. Schinnerl M, Kaltenbacher M, Langer U, Lerch R (2007) An efficient method for the numerical simulation of magneto-mechanical sensors and actuators. European Journal for Applied Mathematics 18:233-271
94. Shirron JJ, Babuška I (1998) A comparison of approximate boundary conditions and infinite element methods for exterior Helmholtz problems. Computer Methods in Applied Mechanics and Engineering 164:121-139
95. Shorter PJ, Langley RS (2005) Vibro-acoustic analysis of complex systems. Journal of Sound and Vibration 288:669-699
96. Soize C (1998) Reduced models in the medium-frequency range for general external structural-acoustic systems. Journal of the Acoustical Society of America 103:3393-3406.
97. Soize C (1999) Reduced models for structures in the medium-frequency range coupled with internal acoustic cavities. Journal of the Acoustical Society of America 106:3362-3374.
98. Tanneau O, Lamary P, Chevalier Y (2006) A boundary element method for porous media. Journal of the Acoustical Society of America 120:1239-1251
99. Thompson LL, (2006) A review of finite-element methods for time-harmonic acoustics. Journal of the Acoustical Society of America 119:1315-1330
100. Tinnsten M, Esping B, Jonsson M (1999) Optimization of acoustic response. Structural Optimization 18:36-47
101. Tolstoy A, Teng Y-C, Shang EC (eds) (2004) Theoretical and computational acoustics 2003. World Scientific Publishing, Singapore
102. Treyssède F, Gabard G, Ben Tahar M (2003) A mixed finite element method for acoustic wave propagation in moving fluids based on an Eulerian-Lagrangian description. Journal of the Acoustical Society of America 113:705-716
103. Tsay H-S, Yeh F-H (2006) Finite element frequency-domain acoustic analysis of open-cell plastic foams. Finite Elements in Analysis and Design 42:314-339
104. Turkel E (ed) (1998) Special issue: Absorbing boundary conditions. Applied Numerical Mathematics 27(4)
105. Visser R (2004) A boundary element approach to acoustic radiation and source identification. PhD thesis. University of Twente, Enschede
106. Vlahopoulos N, Zhao X (1999) Basic development of hybrid finite element method for midfrequency structural vibrations. AIAA Journal 37:1495-1505
107. Wan X, Karniadakis GE (2006) Multi-element generalized polynomial chaos for arbitrary probability measures. SIAM Journal of Scientic Computing 28:901-928
108. Whiteman JR (ed) (2000) The mathematics of finite elements and applications X. MAFELAP 1999. Elsevier, Oxford
109. Williams EG (1999) Fourier acoustics. Sound radiation and nearfield acoustical holography. Academic Press, San Diego-London
110. Wu TW (ed) (2000) Boundary element acoustics: Fundamentals and computer codes. WIT Press, Southampton
111. Xiu D, Karniadakis GE (2002) The Wiener-Askey polynomial chaos for stochastic differential equations. SIAM Journal of Scientic Computing 24:619-644