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On the acoustic radiation of axisymmetric fluid-filled pipes using the wave finite element (WFE) method. (English) Zbl 1360.76125

Summary: This paper investigates the efficiency of the wave finite element (WFE) method to assess the vibroacoustic behavior of finite baffled axisymmetric elastic pipes interacting with internal and external acoustic fluids. The pipes, of either homogeneous or multi-layered cross-sections, are surrounded by an external fluid of infinite extent, which can be light or heavy. The Sommerfeld radiation condition is taken into account by considering a perfectly matched layer (PML) around the external fluid. The method involves the computation of waves traveling along an axisymmetric multi-physics waveguide that incorporates a pipe, internal and external fluids, as well as a PML. Numerical experiments are carried out which highlight the relevance of the WFE method in terms of accuracy and CPU time savings, in comparison with the conventional finite element analysis.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76Q05 Hydro- and aero-acoustics
Full Text: DOI

References:

[1] J.-M. Mencik , Comput. Struct. 88 , 674 ( 2010 ) . genRefLink(16, ’rf1’, ’10.1016
[2] T. C. Lin and G. W. Morgan , J. Acoust. Soc. Am. 28 , 1165 ( 1956 ) . genRefLink(16, ’rf2’, ’10.1121
[3] R. Kumar , Acustica 27 , 317 ( 1972 ) .
[4] R. Kumar and R. W. Stephens , Proc. Roy. Soc. Lond. A 329 , 283 ( 1972 ) . genRefLink(16, ’rf4’, ’10.1098
[5] C. R. Fuller and F. J. Fahy , J. Sound Vibr. 81 , 501 ( 1982 ) . genRefLink(16, ’rf5’, ’10.1016
[6] L. Feng , J. Sound Vibr. 176 , 399 ( 1994 ) . genRefLink(16, ’rf6’, ’10.1006
[7] J. M. Muggleton and J. Yan , J. Sound Vibr. 332 , 1216 ( 2013 ) . genRefLink(16, ’rf7’, ’10.1016
[8] J.-M. Mencik and M. N. Ichchou , Int. J. Solids Struct. 44 , 2148 ( 2007 ) . genRefLink(16, ’rf8’, ’10.1016
[9] E. Manconi , B. R. Mace and R. Garziera , Wave finite element analysis of fluid-filled pipes , Proc. Noise and Vibration: Emerging Methods (NOVEM) 2009 ( Oxford, UK , 2009 ) .
[10] C.-M. Nilsson and S. Finnveden , J. Sound Vibr. 310 , 58 ( 2008 ) . genRefLink(16, ’rf10’, ’10.1016
[11] C.-M. Nilsson , J. Sound Vib. 321 , 813 ( 2009 ) . genRefLink(16, ’rf11’, ’10.1016
[12] Y. Waki , B. R. Mace and M. J. Brennan , J. Sound Vibr. 323 , 737 ( 2009 ) . genRefLink(16, ’rf12’, ’10.1016
[13] D. Duhamel , B. R. Mace and M. J. Brennan , J. Sound Vibr. 294 , 205 ( 2006 ) . genRefLink(16, ’rf13’, ’10.1016
[14] J. M. Renno and B. R. Mace , J. Sound Vibr. 329 , 5474 ( 2010 ) . genRefLink(16, ’rf14’, ’10.1016
[15] J.-M. Mencik , Int. J. Numer. Meth. Eng. 95 , 91 ( 2013 ) . genRefLink(16, ’rf15’, ’10.1002
[16] J.-M. Mencik and M.-L. Gobert , Wave finite element-based strategies for computing the acoustic radiation of stiffened or non-stiffened rectangular plates subject to arbitrary boundary conditions , Proc. 11th Int. Conf. on Computational Structures Technology ( Pubrovnik, Croatia , 2012 ) .
[17] G. C. Everstine , J. Sound Vibr. 79 , 157 ( 1981 ) . genRefLink(16, ’rf17’, ’10.1016
[18] W. X. Zhong and F. W. Williams , J. Sound Vibr. 181 , 485 ( 1995 ) . genRefLink(16, ’rf18’, ’10.1006
[19] C. H. Wilcox , J. Anal. Math. 33 , 146 ( 1978 ) . genRefLink(16, ’rf19’, ’10.1007
[20] S. H. Schot , Histh. Math. 19 , 385 ( 1992 ) . genRefLink(16, ’rf20’, ’10.1016
[21] L. L. Thompson , J. Acoust. Soc. Am. 119 , 1315 ( 2006 ) . genRefLink(16, ’rf21’, ’10.1121
[22] A. Taflove , Computational Electrodynamics: The Finite-Difference Time-Domain Method ( Artech House , 1995 ) . · Zbl 0840.65126
[23] E. Mesquita and R. Pavanello , Comput. Appl. Math. 24 , 1 ( 2005 ) . genRefLink(128, ’rf23’, ’000208135200001’);
[24] J.-P. Berenger , J. Comput. Phys. 114 , 185 ( 1994 ) . genRefLink(16, ’rf24’, ’10.1006
[25] A. Bermudez , J. Comput. Phys. 223 , 469 ( 2007 ) . genRefLink(16, ’rf25’, ’10.1016
[26] F. Ihlenburg , Finite Element Analysis of Acoustic Scattering ( Springer , 1998 ) . genRefLink(16, ’rf26’, ’10.1007
[27] M. Zampolli , J. Acoust. Soc. Am. 122 , 1472 ( 2007 ) . genRefLink(16, ’rf27’, ’10.1121
[28] E. Turkel and A. Yefet , Appl. Numer. Math. 27 , 533 ( 1998 ) . genRefLink(16, ’rf28’, ’10.1016
[29] F. Collino and P. Monk , SIAM J. Sci. Comput. 19 , 2061 ( 1998 ) . genRefLink(16, ’rf29’, ’10.1137
[30] M. Zampolli , N. Malm and A. Tesei , Improved perfectly matched layers for acoustic radiation and scattering problems , Proc. 2008 COMSOL Conference ( Various Worldwide Locations , 2008 ) .
[31] S. V. Sorokin and O. A. Ershova , J. Sound Vibr. 278 , 501 ( 2004 ) . genRefLink(16, ’rf31’, ’10.1016
[32] A. Bocquillet , M. N. Ichchou and L. Jezequel , J. Fluid. Struct. 17 , 491 ( 2003 ) . genRefLink(16, ’rf32’, ’10.1016
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