Journal of the Society of Naval Architects of Korea (대한조선학회논문집)

The Society of Naval Architects of Korea (대한조선학회)
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Numerical Study on the Reflection of a Solitary Wave by a Vertical Wall Using the Improved Boussinesq Equation with Stokes Damping

고립파의 수직 벽면 반사와 Stokes 감쇠에 관한 개선된 부시네스크 방정식을 이용한 수치해석 연구

  • Park, Jinsoo (Korea Research Institute of Ships & Ocean Engineering, Deep Ocean Engineering Research Center) ;
  • Jang, Taek Soo (Department of Naval Architecture and Ocean Engineering, Pusan National University)
  • 박진수 (선박해양플랜트연구소 심해공학연구센터) ;
  • 장택수 (부산대학교 조선해양공학과)
  • Received : 2021.07.24
  • Accepted : 2021.12.29
  • Published : 2022.04.20
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Abstract

In this paper, we simulate the collision of a solitary wave on a vertical wall in a uniform water channel and investigate the effect of damping on the amplitude attenuation. In order to take into account the damping effect, we introduce the Stokes damping whose dissipation is dependent on the velocity of wave motion on the surface of a thin layer of oil. That is, we use the improved Boussinesq equation with Stokes damping to describe the damped wave motion. Our work mainly focuses on the amplitude attenuation of a propagating solitary wave, which may depend on the Stokes damping together with the initial position and initial amplitude of the wave. We utilize the method of images and a powerful numerical tool (functional iteration method) for solving the improved Boussinesq equation, yielding an effective numerical simulation. This enables us to find the amplitudes of the incident wave and reflected one, whose ratio is a measure of the (wave) amplitude attenuation. Accordingly, we have shown that the reflection of a solitary wave by a vertical wall is dependent on not only the initial amplitude and position of a solitary but the Stokes damping.

Keywords

Acknowledgement

이 논문은 부산대학교 기본연구지원사업(2년)에 의하여 연구되었으며 이에 감사드립니다.

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