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Title:
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A new numerical method for solving the acoustic radiation problem
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Author:
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Poblet-Puig, Jordi; Shanin, Andrey
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Other authors:
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Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
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Abstract:
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The final publication is available at Springer via http://dx.doi.org/10.1134/S1063771018020148 |
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Abstract:
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A numerical method of solving the problem of acoustic wave radiation in the presence of a rigid scatterer is described. It combines the finite element method and the boundary algebraic equation one. In the proposed method, the exterior domain around the scatterer is discretized, so that there appear an infinite domain with regular discretization and a relatively small layer with irregular mesh. For the infinite regular mesh, the boundary algebraic equation method is used with spurious resonance suppression according to Burton and Miller. In the thin layer with irregular mesh, the finite element method is used. The proposed method is characterized by simple implementation, fair accuracy, and absence of spurious resonances. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
-Difference equations, Partial--Numerical solutions
-Waves
-finite element method
-boundary element method
-boundary algebraic equations
-discrete Green's function
-Equacions diferencials parcials--solucions numèriques
-Ones
-Classificació AMS::65 Numerical analysis::65N Partial differential equations, boundary value problems
-Classificació AMS::74 Mechanics of deformable solids::74J Waves |
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Rights:
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Document type:
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Article - Submitted version
Article |
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