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Non-conforming Finite Elements for Flexible Discretization with Applications to Aeroacoustics

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Book cover Computational Acoustics

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 579))

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Abstract

The non-conforming Finite Element (FE) method allows the coupling of two or more sub-domains with quite different mesh sizes. Therewith, we gain the flexibility to choose for each sub-domain an optimal grid. The two proposed methods - Mortar and Nitsche-type mortaring - fulfill the physical conditions along the non-conforming interfaces. We exploit this capability and apply it to real engineering applications in aeroacoustics. The results clearly demonstrate the superiority of the non-conforming FE method over the standard FE method concerning pre-processing, mesh generation flexibility, accuracy and computational time.

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Acknowledgements

The author wishes to acknowledge his former Ph.D. students Andreas Hüppe, Simon Triebenbacher and Stefan Zörner for main contributions towards non-conforming grid techniques and its applications. Furthermore, I wish to tanks my colleague Barbara Wohlmuth (Technische Universität München, Germany) for our longtime cooperation on non-conforming grid techniques. Finally, many thanks to Stefan Schoder for proof reading and his usefull suggestions.

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  1. Institute of Mechanics and Mechatronics, TU Wien, Vienna, Austria

    Manfred Kaltenbacher

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  1. Manfred Kaltenbacher
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Correspondence to Manfred Kaltenbacher .

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  1. Institute of Mechanics and Mechatronics, Vienna University of Technology Institute of Mechanics and Mechatronics, Vienna, Wien, Austria

    Manfred Kaltenbacher

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Kaltenbacher, M. (2018). Non-conforming Finite Elements for Flexible Discretization with Applications to Aeroacoustics. In: Kaltenbacher, M. (eds) Computational Acoustics. CISM International Centre for Mechanical Sciences, vol 579. Springer, Cham. https://doi.org/10.1007/978-3-319-59038-7_2

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  • DOI: https://doi.org/10.1007/978-3-319-59038-7_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59037-0

  • Online ISBN: 978-3-319-59038-7

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