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Minimization of Numerical Dispersion Errors in 2D Finite Element Models of Short Acoustic Wave Propagation

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Information and Software Technologies (ICIST 2016)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 639))

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Abstract

Numerical dispersion errors are inherent for simulations based on wave propagation models with discrete meshes. The paper presents approach applied to reduce errors of this type in finite element models. High order 2D synthesized finite elements with enhanced convergence properties are obtained by modal synthesis technique. Obtained elements have diagonal mass matrix which enables to employ explicit integration schemes for wave simulation. Waves of more than two times wider frequency can be simulated using model of synthesized elements compared to models assembled of conventional elements. Furthermore, such elements could be used as a template of higher-order element to construct finite element models for all simulation problems of this kind.

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Authors and Affiliations

  1. Faculty of Informatics, Kaunas University of Technology, Kaunas, Lithuania

    Andrius Kriščiūnas & Rimantas Barauskas

  2. Ultrasound Institute, Kaunas University of Technology, Kaunas, Lithuania

    Liudas Mažeika & Tautvydas Fyleris

Authors
  1. Andrius Kriščiūnas
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  2. Rimantas Barauskas
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  3. Liudas Mažeika
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  4. Tautvydas Fyleris
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Corresponding author

Correspondence to Andrius Kriščiūnas .

Editor information

Editors and Affiliations

  1. Kaunas University of Technology , Kaunas, Lithuania

    Giedre Dregvaite

  2. Kaunas University of Technology , Kaunas, Lithuania

    Robertas Damasevicius

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© 2016 Springer International Publishing Switzerland

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Kriščiūnas, A., Barauskas, R., Mažeika, L., Fyleris, T. (2016). Minimization of Numerical Dispersion Errors in 2D Finite Element Models of Short Acoustic Wave Propagation. In: Dregvaite, G., Damasevicius, R. (eds) Information and Software Technologies. ICIST 2016. Communications in Computer and Information Science, vol 639. Springer, Cham. https://doi.org/10.1007/978-3-319-46254-7_60

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  • DOI: https://doi.org/10.1007/978-3-319-46254-7_60

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46253-0

  • Online ISBN: 978-3-319-46254-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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