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고립파와 파도패킷의 상호작용

On the Interaction of a Solitary Wave and a Wave-Packet

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주제분류조선공학

초록

In this paper, numerical experiments are performed to examine the collision between a solitary wave and a wave-packet (dispersive wave) in shallow water. We attempt to introduce the improved Boussinesq equation governing the experiments, which is solved by using a semi-analytical approach, called Pseudo-parameter Iteration method(PIM). Using various numerical experiments, we have observed that the wave-packet (propagating dispersive wave) experiences a phase shift after collision with a solitary wave. This phenomenon may be considered as a nonlinear wave–wave interaction in shallow water.

Abstract

In this paper, numerical experiments are performed to examine the collision between a solitary wave and a wave-packet (dispersive wave) in shallow water. We attempt to introduce the improved Boussinesq equation governing the experiments, which is solved by using a semi-analytical approach, called Pseudo-parameter Iteration method(PIM). Using various numerical experiments, we have observed that the wave-packet (propagating dispersive wave) experiences a phase shift after collision with a solitary wave. This phenomenon may be considered as a nonlinear wave–wave interaction in shallow water.

참고문헌 (6)

  1. Cooker, M. J., "Reflection of a high-amplitude solitary wave at a vertical wall", Journal of Fluid Mechanics, 342, pp.141~158 (1997)
  2. Jang, T. S., "A new dispersion-relation preserving method for integrating the classical Boussinesq equation", Communications in Nonlinear Science and Numerical Simulation, 43, pp.118~138 (2017)
  3. 박진수, "고립파의 수직 벽면 반사와 Stokes 감쇠에 관한 개선된 부시네스크 방정식을 이용한 수치해석 연구", 대한조선학회 논문집, 59(2), pp.64~71 (2022), 대한조선학회[DOI]
  4. 박진수, "A numerical experiment on a new piston-type wavemaker: Shallow water approximation", International Journal of Naval Architecture and Ocean Engineering, 15, pp.1~8 (2023), 대한조선학회[DOI]
  5. Zou, Q., "Overtaking collision between two solitary waves", The Physics of Fluids, 29(7), pp.2113~2123 (1986)
  6. Kim, J, "A new numerical algorithm for long time simulation of the Boussinesq equation using Pseudo-parameter Iteration Method(PIM)", M.S., pp.2023

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