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Diffraction of a solitary wave by a thin wedge

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Abstract

The diffraction of a solitary wave by a thin wedge with vertical walls is studied when the incident solitary wave is directed along the wedge axis. The method of multiple scales is extended to this problem and reduces the task to that of solving the two-dimensional KdV equation with proper boundary and initial conditions. The finite-difference numerical procedure is carried out with the fractional step algorithm in which difference schemes are all implicit. Except the maximum run-up at the wall, the results in this paper are found to corroborate the Melville's experiments not only qualitatively but also quantitatively. The maximum run-up of our results agrees well with Funakoshi's numerical one but it is considerably larger than that in Melville's experiment. An important reason for this discrepancy is believed to be the effect of viscous boundary layer on the vertical side wall.

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Authors and Affiliations

  1. Department of Naval Architecture and Ocean Engineering, Shanghai Jiaotong University, Shanghai, China

    Chen Xuenong & Liu Yingzhong

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  1. Chen Xuenong
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  2. Liu Yingzhong
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Xuenong, C., Yingzhong, L. Diffraction of a solitary wave by a thin wedge. Acta Mech Sinica 4, 201–210 (1988). https://doi.org/10.1007/BF02486651

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  • DOI: https://doi.org/10.1007/BF02486651

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