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Boundary Elements VIII pp 525–534Cite as

Nonlinear Wave Transformation

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Part of the book series: Boundary Elements ((BOUNDARY,volume 8))

Abstract

Recently, the boundary element method has been developed and applied to many engineering problems. The problems on the free surface profiles due to wave action (Nakayama et al1; Mizumura2) or running water (Mizumura3; Mizumura4) become easier through the merit of the boundaryelement method. The difficulty in solving these problems exists in the nonlinearity of the dynamic boundary condition (Bernoulli equation). The nonlinearity appears remarkably in the case of the shallow water. Herein, the boundary element method is applied to analyze the wave transformation over simple coastal structures and the iteration procedure is employed to deal with the nonlinear dynamic boundary condition. The problems on the transformation of a solitary wave over a uniform slope are numerically solved by using different methods (Hauguel5; Madsen6). The linear wave transformation over a semi-circular cylinder (Bird7) and a rectangular obstacle are calculated by different methods (Mei et al8). The problems on the wave interactions with submarine trenches are also analytically computed (Lee et al9, 10) for the linearized case.

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References

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Author information

Authors and Affiliations

  1. Department of Civil Engineering, Kanazawa Institute of Technology, 7-1, Ogigaoka, Nonoichimachi, Ishikawa Pref., Japan

    K. Mizumura

Authors
  1. K. Mizumura
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Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, Shinshu University, 500 Wakasato, Nagano 380, Japan

    M. Tanaka

  2. Computational Mechanics Institute, 52 Henstead Road, SO1 2DD, Southampton, UK

    C. A. Brebbia

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© 1986 Springer-Verlag Berlin Heidelberg

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Mizumura, K. (1986). Nonlinear Wave Transformation. In: Tanaka, M., Brebbia, C.A. (eds) Boundary Elements VIII. Boundary Elements, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22335-2_3

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  • DOI: https://doi.org/10.1007/978-3-662-22335-2_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-22337-6

  • Online ISBN: 978-3-662-22335-2

  • eBook Packages: Springer Book Archive

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