Study on the head-on collisions of two-dimensional trains of solitons

The head on collisions of trains of solitons induced by a two-dimensional submerged elliptical cylinder at critical speed in shallow water are studied based on velocity potential theory. The boundary value problems are solved through boundary element method (BEM). The nonlinear free surface boundary...

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Bibliographic Details
Published in:Wave motion 2020-03, Vol.93, p.102450, Article 102450
Main Authors: Ma, C.P., Xu, G.D., Duan, W.Y.
Format: Article
Language:English
Subjects:
Boundary conditions
Boundary element method
Boundary value problems
Collision dynamics
Cylinder heads
Electromagnetics
Elliptical cylinders
Free surfaces
Head-on collisions
Kinetic energy
Kinetics
Potential energy
Potential theory
Propagation
Shallow water
Solitary waves
Trains of solitary waves
Velocity distribution
Velocity potential theory
Wave propagation
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Summary:The head on collisions of trains of solitons induced by a two-dimensional submerged elliptical cylinder at critical speed in shallow water are studied based on velocity potential theory. The boundary value problems are solved through boundary element method (BEM). The nonlinear free surface boundary conditions are satisfied. The mixed Euler–Lagrangian method is adopted to track the free surface through a time stepping scheme. The effects of thickness and velocity of the elliptical cylinder on the evolution of solitary waves have been investigated. Two sets of solitons are truncated from these trains of solitary waves. The head-on collisions of these solitons have been simulated. The wave profiles and velocity fields during collision have been analysed. The propagation of solitary waves is the transmissions of kinetic energy and the collision processes are the results of the dynamic balance of potential energy and kinematic energy.
ISSN:0165-2125
1878-433X
DOI:10.1016/j.wavemoti.2019.102450