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Acoustic Transmissi...
Acoustic Transmission in Ducts of Various Shapes with an Impedance Condition
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- Andersson, Anders (author)
- Jönköping University,Växjö universitet,Matematiska och systemtekniska institutionen,International Centre for Mathematical Modeling,JTH, Matematik
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- Nilsson, Börje (author)
- Växjö universitet,Matematiska och systemtekniska institutionen,International Centre for Mathematical modelling, Växjö University
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(creator_code:org_t)
- Melville : AIP, Melville, USA, 2008
- 2008
- English.
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In: International Conference on Numerical Analysis and Applied Mathematics 2008. - Melville : AIP, Melville, USA. - 9780735405769 ; , s. 33-36
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Abstract
Subject headings
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- Propagation of acoustic waves in a two-dimensional duct with an impedance condition at the boundary, is studied. The duct is assumed to have two ends at infinity being asymptotically straight, but otherwise to be arbitrarily shaped.The so called Building Block Method allows us to synthesize propagation properties for ducts with complicated geometries from results for simpler ducts. Conformal mappings can be used to transform these simple ducts to straight ducts with constant cross-sections.By using recently developed techniques for numerical conformal mappings, it is possible to construct a transformation between an infinite strip and an arbitrarily shaped duct with smooth or piecewise smooth boundary, keeping both smoothness and the well controlled boundary direction towards infinity that the above mentioned method requires.To accomplish a stable formulation of the problem, we express it in terms of scattering operators. The resulting differential equation is solved using wave splitting and invariant embedding techniques. We expand the involved functions in Fourier series, and hence, it is possible to give the operators a matrix representation. Numerical results are produced using truncated matrices.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Strömningsmekanik och akustik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Fluid Mechanics and Acoustics (hsv//eng)
Keyword
- acoustic scattering
- waveguide scattering
- impedance
- Building Block Method
- numerical conformal mapping
- Outer Polygon Method
- invariant embedding
- Applied mathematics
- Tillämpad matematik
- Mathematical physics
- Matematisk fysik
- Acoustics
- Akustik
- Mathematics
- Matematik
Publication and Content Type
- ref (subject category)
- kon (subject category)
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