Error Analysis of Various Basis Functions Used in BEM Solution of Acoustic Scattering

In this work, various basis functions used in the Method of Moments or Boundary Element (MoM/BEM) solution of acoustic scattering problems are compared with each other for their performance. Single layer formulation of the rigid bodies is considered in comparison of the solutions. Geometry of a scat...

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Bibliographic Details
Published inComputer modeling in engineering & sciences Vol. 56; no. 3; pp. 211 - 230
Main Author Chandrasekhar, B
Format Journal Article
LanguageEnglish
Published Henderson Tech Science Press 2010
Subjects
Acoustic scattering
Acoustic waves
Acoustics
Basis functions
Boundary element method
Computation
Error analysis
Errors
Exact solutions
Far fields
Mathematical analysis
Mathematical models
Method of moments
Rigid structures
Rigid-body dynamics
Scattering cross sections
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Summary:In this work, various basis functions used in the Method of Moments or Boundary Element (MoM/BEM) solution of acoustic scattering problems are compared with each other for their performance. Single layer formulation of the rigid bodies is considered in comparison of the solutions. Geometry of a scatterer is descritized using triangular patch modeling and basis functions are defined on triangular patches, edges and nodes for three different solutions. Far field scattering cross sections for different frequencies of incident acoustic wave are compared with the closed form solutions. Also, the errors of the solutions using these three types of basis functions are computed and plotted. Finally important conclusions are drawn and future work defined.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1526-1492
1526-1506
DOI:10.3970/cmes.2010.056.211