A Variable Wave Number Plane Wave Enriched Partition of Unity Isogeometric Analysis for Acoustic Problems in Heterogeneous Media
Numerical issues like dispersion error and the demand of high degrees of freedom at higher wave numbers, limit the use of conventional low order polynomial based numerical methods in wave problems. As a remedy, enriched techniques based on non-polynomial bases like Partition of Unity method, Discontinuous enrichment method and Ultra-weak variational methods are proposed in the literature. When material inhomogeneity is present, where the wave number is smoothly varying in the medium, the conventional enriched techniques are limited to the use of homogeneous ansatz solutions like plane waves with constant wave number. A new enrichment based on plane wave expansion which accounts for the variation of wave number in the medium, is proposed within the framework of Partition of Unity Isogeometric Analysis for solving Helmholtz equation in a heterogeneous medium. The performance of the proposed enriched basis is illustrated numerically using two case studies.
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Document Type: Short Communication
Publication date: November 1, 2018
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- Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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