ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
Prev
Next
|
|
|
Sound propagation in inhomogeneous waveguides with sound-speed profiles using the multimodal admittance method |
Qi Li(李琪)1,2,3, Juan Liu(刘娟)1,2,3, Wei Guo(郭威)1,2,3 |
1 Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, China; 2 Key Laboratory of Marine Information Acquisition and Security(Harbin Engineering University), Ministry of Industry and Information Technology, Harbin 150001, China; 3 College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China |
|
|
Abstract The multimodal admittance method and its improvement are presented to deal with various aspects in underwater acoustics, mostly for the sound propagation in inhomogeneous waveguides with sound-speed profiles, arbitrary-shaped liquid-like scatterers, and range-dependent environments. In all cases, the propagation problem governed by the Helmholtz equation is transformed into initial value problems of two coupled first-order evolution equations with respect to the modal components of field quantities (sound pressure and its derivative), by projecting the Helmholtz equation on a constructed orthogonal and complete local basis. The admittance matrix, which is the modal representation of Direchlet-to-Neumann operator, is introduced to compute the first-order evolution equations with no numerical instability caused by evanescent modes. The fourth-order Magnus scheme is used for the numerical integration of differential equations in the numerical implementation. The numerical experiments of sound field in underwater inhomogeneous waveguides generated by point sources are performed. Besides, the numerical results computed by simulation software COMSOL Multiphysics are given to validate the correction of the multimodal admittance method. It is shown that the multimodal admittance method is an efficient and stable numerical method to solve the wave propagation problem in inhomogeneous underwater waveguides with sound-speed profiles, liquid-like scatterers, and range-dependent environments. The extension of the method to more complicated waveguides such as horizontally stratified waveguides is available.
|
Received: 05 July 2019
Revised: 16 November 2019
Accepted manuscript online:
|
PACS:
|
43.20.Mv
|
(Waveguides, wave propagation in tubes and ducts)
|
|
43.20.Bi
|
(Mathematical theory of wave propagation)
|
|
43.30.-k
|
(Underwater sound)
|
|
Corresponding Authors:
Juan Liu
E-mail: liujuan@hrbeu.edu.cn
|
Cite this article:
Qi Li(李琪), Juan Liu(刘娟), Wei Guo(郭威) Sound propagation in inhomogeneous waveguides with sound-speed profiles using the multimodal admittance method 2020 Chin. Phys. B 29 014303
|
[1] |
Jensen F B, Kuperman W A, Porter M B and Schmidt H 2011 Computation ocean acoustics, 2nd edn. (New York: American Institute of Physics) pp. 12-15
|
[2] |
ČErvený V 2001 Seismic Ray Theory (Cambridge University Press) pp. 1098-1108
|
[3] |
Štumpf M, De Hoop A T and Vandenbosch G A E 2013 IEEE Trans. Anten. Propag. 61 2676
|
[4] |
Yang S E 2009 Theory of underwater sound propagation (Harbin: Harbin Engineering University Press) p. 6 (in Chinese)
|
[5] |
Mo Y X, Piao S C, Zhang H G and Li L 2014 Acta Phys. Sin. 63 214302 (in Chinese)
|
[6] |
Ihlenburg F and Babuska I 1997 SIAM J. Numer. Anal. 34 315
|
[7] |
Ihlenburg F and Babuska I 2000 SIAM Rec. 42 451
|
[8] |
Singer I and Turkel E 1998 Comput. Method Appl. M 163 343
|
[9] |
Nabavi M, Siddiqui M H K and Dargahi J 2007 J. Sound Vib. 307 972
|
[10] |
Pagneux V, Amir A and Kergomard J 1996 J. Acoust. Soc. Am. 101 2034
|
[11] |
Amir A, Pagneux V and Kergomard J 1997 J. Acoust. Soc. Am. 101 2504
|
[12] |
Maurel A and Pagneux V 2002 P. R. Soc. A-Math. Phys. 458 1913
|
[13] |
Félix S and Pagneux V 2001 J. Acoust. Soc. Am. 110 1329
|
[14] |
Félix S and Pagneux V 2002 Wave Motion 36 157
|
[15] |
Maurel A, Mercier J F and Félix S 2014 J. Acoust. Soc. Am. 135 165
|
[16] |
Bi W P, Pagneux V, Lafarge D and Aurégan Y 2007 J. Acoust. Soc. Am. 122 280
|
[17] |
Maurel A, Mercier J F, Pagneux V 2014 P. R. Soc. A-Math. Phys. 470 20130448
|
[18] |
Waldvogel J 2006 BIT 46 195
|
[19] |
Pagneux V and Maurel A 2006 P. Roy. Soc. A-Math. Phys. 462 1315
|
[20] |
Lu Y Y 2005 J. Comput. Appl. Math. 172 247
|
[21] |
Iserles A, Marthinsen A and N? rsett S P 1999 BIT 39 281
|
[22] |
Lu Y Y and McLaughlin J R 1996 J. Acoust. Soc. Am. 100 1432
|
[23] |
Pagneux V and Maurel A 2004 J. Acoust. Soc. Am. 116 1913
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|