Hydroelastic analysis of fully nonlinear water waves with floating elastic plate via multiple knot B-splines |
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| Institution: | 1. Department of Mathematics, Vali-e-Asr University of Rafsanjan, Iran;2. Department of Civil Engineering, University of Birjand, Iran;1. Graduate School of Science and Technology, Kumamoto University, 2-39-1 Kurokami, Chuou-ku, Kumamoto 860-8555, Japan;2. Department of Materials Science and Technology, Tokyo University of Science, 6-3-1 Niijuku, Katsushika-ku, Tokyo 125-8585, Japan;1. Institute of Problems in Mechanical Engineering of Russian Academy of Sciences, St. Petersburg, Russia;2. Department of Mechanical and Manufacturing Engineering, Aalborg University, Denmark |
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| Abstract: | Hydroelastic analysis of fully nonlinear water waves with the floating elastic plate is a hard mission. Especially, the behavior of the wave would be more complex when water wave encounter the floating elastic plate. In this paper, the meshless numerical method is devoted to solve such a problem. Fundamental solution method is applied to approximate the velocity potential in the fluid domain. When the water wave encounters the plate, the wave function would not be enough smooth in the edge of plate compared to the other points. Hence, to analyze numerically the behavior of wave, the solution space should include the basis functions that are not enough smooth in the edge of plate. Moreover, to decrease computational cost significantly, the basis functions had better to have local compact support. The multiple knot B-spline basis functions are suitable that contain both properties. The number of repeated knots, the degree of B-spline and the spatial points are challengeable that are discussed in this paper. The results are in good agreement with those obtained from other numerical works. |
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| Keywords: | Multiple knot B-splines Fully nonlinear water wave Floating plate Method of fundamental solution Moving boundary Semi Lagrangian method |
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