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Modal ring method for the scattering of soundThe modal element method for acoustic scattering can be simplified when the scattering body is rigid. In this simplified method, called the modal ring method, the scattering body is represented by a ring of triangular finite elements forming the outer surface. The acoustic pressure is calculated at the element nodes. The pressure in the infinite computational region surrounding the body is represented analytically by an eigenfunction expansion. The two solution forms are coupled by the continuity of pressure and velocity on the body surface. The modal ring method effectively reduces the two-dimensional scattering problem to a one-dimensional problem capable of handling very high frequency scattering. In contrast to the boundary element method or the method of moments, which perform a similar reduction in problem dimension, the model line method has the added advantage of having a highly banded solution matrix requiring considerably less computer storage. The method shows excellent agreement with analytic results for scattering from rigid circular cylinders over a wide frequency range (1 is equal to or less than ka is less than or equal to 100) in the near and far fields.
Document ID
19940012024
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Baumeister, Kenneth J. (NASA Lewis Research Center Cleveland, OH, United States)
Kreider, Kevin L. (Akron Univ. OH., United States)
Date Acquired
September 6, 2013
Publication Date
November 1, 1993
Subject Category
Acoustics
Report/Patent Number
NAS 1.15:106342
E-8111
NASA-TM-106342
Meeting Information
Meeting: ASME Winter Annual Meeting
Location: New Orleans, LA
Country: United States
Start Date: November 28, 1993
End Date: December 3, 1993
Sponsors: ASME
Accession Number
94N16497
Funding Number(s)
PROJECT: RTOP 505-62-52
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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