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Three-dimensional mode coupling around a seamount

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Abstract

A recently developed three-dimensional normal-mode model is adopted to investigate mode coupling around a seamount in a deep water environment. As indicated by the theoretical analysis and verified by the numerical results, strong mode coupling occurs at the edge of a seamount under certain conditions. Therefore, mode coupling is critical for the investigation of the acoustic field in the presence of a seamount. In addition, the issue regarding the number of sectors assuring convergence is also presented. This issue is important in a two-way coupled-mode approach, especially for solving three-dimensional problems, because the computational effort increases dramatically with the number of sectors in representing a varying bathymetry. The theoretical analysis as well as the numerical example in this paper shows that artificial diffraction lobes form in the event that uniform discretization is used with a horizontal step size greater than half of the acoustic wavelength. However, by using random discretization instead, such artificial diffraction lobes are diffused, resulting in a faster convergence rate.

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Authors and Affiliations

  1. State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing, 100190, China

    WenYu Luo & RenHe Zhang

  2. Department of Mechanical Engineering, Massachusetts Institute of Technology, Massachusetts, 02139, USA

    Henrik Schmidt

Authors
  1. WenYu Luo
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  2. RenHe Zhang
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  3. Henrik Schmidt
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Correspondence to WenYu Luo.

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Luo, W., Zhang, R. & Schmidt, H. Three-dimensional mode coupling around a seamount. Sci. China Phys. Mech. Astron. 54, 1561 (2011). https://doi.org/10.1007/s11433-011-4442-6

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  • DOI: https://doi.org/10.1007/s11433-011-4442-6

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