Calculation of the transition matrix for the scattering of acoustic waves from a thin elastic spherical shell using the COMSOL Multiphysics Finite-Element Code
In acoustics, the so-called Transition, or T-matrix relates the incident and scattered acoustic pressures of an object or scatterer. The T-matrix of a thin steel spherical shell in water has been determined by the COMSOL Multiphysics Finite-Element Code. The shell has an outer radius of 0.5m and a...
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Monterey, California. Naval Postgraduate School
2012
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ndltd-nps.edu-oai-calhoun.nps.edu-10945-106612014-11-27T16:09:08Z Calculation of the transition matrix for the scattering of acoustic waves from a thin elastic spherical shell using the COMSOL Multiphysics Finite-Element Code Ng, Kiang Chuan. Baker, Steve Scandrett, Clyde L. Physics. In acoustics, the so-called Transition, or T-matrix relates the incident and scattered acoustic pressures of an object or scatterer. The T-matrix of a thin steel spherical shell in water has been determined by the COMSOL Multiphysics Finite-Element Code. The shell has an outer radius of 0.5m and a thickness of 1cm. It is driven at a frequency of 474 Hz such that ka=1 (where k is the acoustic wave number and a is the outer radius of the shell). A standing wave, represented by a spherical Bessel function, is incident onto the shell surface and the corresponding scattering coefficient is computed. The approach is divided into three portions. Firstly, a fluid-loaded rigid sphere is modeled using the Acoustic-Shell Interaction (ACSH) physics mode to examine the functionality of COMSOL. It also explores the degree of improvement when a refined fluid mesh is applied. Secondly, a thin spherical shell is modeled in the ACSH physics mode. This will examine the credibility of COMSOL to obtain accurate results based on thin shell approximation. Finally, a true 3D finite element, employing the 3D elastic theory, is created using the Acoustic-Structure Interaction (ACSI) physics mode. The resulting diagonal T-matrix elements achieved an accuracy of 0.1% relative to the analytical T-matrix. Ultimately, these results will be applicable to the modeling of the radiation from an arbitrarily densely-packed array of sonar transducers. 2012-08-22T15:33:08Z 2012-08-22T15:33:08Z 2011-12 http://hdl.handle.net/10945/10661 This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. As such, it is in the public domain, and under the provisions of Title 17, United States Code, Section 105, it may not be copyrighted. Monterey, California. Naval Postgraduate School |
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description |
In acoustics, the so-called Transition, or T-matrix relates the incident and scattered acoustic pressures of an object or scatterer. The T-matrix of a thin steel spherical shell in water has been determined by the COMSOL Multiphysics Finite-Element Code. The shell has an outer radius of 0.5m and a thickness of 1cm. It is driven at a frequency of 474 Hz such that ka=1 (where k is the acoustic wave number and a is the outer radius of the shell). A standing wave, represented by a spherical Bessel function, is incident onto the shell surface and the corresponding scattering coefficient is computed. The approach is divided into three portions. Firstly, a fluid-loaded rigid sphere is modeled using the Acoustic-Shell Interaction (ACSH) physics mode to examine the functionality of COMSOL. It also explores the degree of improvement when a refined fluid mesh is applied. Secondly, a thin spherical shell is modeled in the ACSH physics mode. This will examine the credibility of COMSOL to obtain accurate results based on thin shell approximation. Finally, a true 3D finite element, employing the 3D elastic theory, is created using the Acoustic-Structure Interaction (ACSI) physics mode. The resulting diagonal T-matrix elements achieved an accuracy of 0.1% relative to the analytical T-matrix. Ultimately, these results will be applicable to the modeling of the radiation from an arbitrarily densely-packed array of sonar transducers. |
author2 |
Baker, Steve |
author_facet |
Baker, Steve Ng, Kiang Chuan. |
author |
Ng, Kiang Chuan. |
spellingShingle |
Ng, Kiang Chuan. Calculation of the transition matrix for the scattering of acoustic waves from a thin elastic spherical shell using the COMSOL Multiphysics Finite-Element Code |
author_sort |
Ng, Kiang Chuan. |
title |
Calculation of the transition matrix for the scattering of acoustic waves from a thin elastic spherical shell using the COMSOL Multiphysics Finite-Element Code |
title_short |
Calculation of the transition matrix for the scattering of acoustic waves from a thin elastic spherical shell using the COMSOL Multiphysics Finite-Element Code |
title_full |
Calculation of the transition matrix for the scattering of acoustic waves from a thin elastic spherical shell using the COMSOL Multiphysics Finite-Element Code |
title_fullStr |
Calculation of the transition matrix for the scattering of acoustic waves from a thin elastic spherical shell using the COMSOL Multiphysics Finite-Element Code |
title_full_unstemmed |
Calculation of the transition matrix for the scattering of acoustic waves from a thin elastic spherical shell using the COMSOL Multiphysics Finite-Element Code |
title_sort |
calculation of the transition matrix for the scattering of acoustic waves from a thin elastic spherical shell using the comsol multiphysics finite-element code |
publisher |
Monterey, California. Naval Postgraduate School |
publishDate |
2012 |
url |
http://hdl.handle.net/10945/10661 |
work_keys_str_mv |
AT ngkiangchuan calculationofthetransitionmatrixforthescatteringofacousticwavesfromathinelasticsphericalshellusingthecomsolmultiphysicsfiniteelementcode |
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1716721528066801664 |