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# Transmission and Reflection of Water-Wave on a Floating Ship in Vast Oceans

Amel A. Alaidrous*
Department of Mathematics, Faculty of Applied Science, Umm Al-Qura University, Makkah, Saudi Arabia
* Corresponding Author: Amel A. Alaidrous. Email:
(This article belongs to this Special Issue: Role of Computer in Modelling & Solving Real-World Problems)

Computers, Materials & Continua 2021, 67(3), 2971-2988. https://doi.org/10.32604/cmc.2021.015159

Received 08 November 2020; Accepted 15 December 2020; Issue published 01 March 2021

### Abstract

In this paper, we study the water-wave flow under a floating body of an incident wave in a fluid. This model simulates the phenomenon of waves abording a floating ship in a vast ocean. The same model, also simulates the phenomenon of fluid-structure interaction of a large ice sheet in waves. According to this method. We divide the region of the problem into three subregions. Solutions, satisfying the equation in the fluid mass and a part of the boundary conditions in each subregion, are given. We obtain such solutions as infinite series including unknown coefficients. We consider a limited number only of the coefficients by truncating the infinite series and satisfy the remaining boundary conditions approximately. Numerical experiments show that the results are acceptable. Tables are given along with the graph of the system of the resulting streamlines and the dynamical pressure acting on the obstacle. The drawn system of streamlines shows the correctness of the solution and the pressure is maximum on the side facing the upstream extremity of the channel. The same procedure can be adequately applied for problems with more complicated geometry and other phenomenon can thus be simulated.

### Keywords

Potential flow; linear theory; fixed floating obstacle; fourier transformation; boundary collocation technique; spectral method

A. A. Alaidrous and . , "Transmission and reflection of water-wave on a floating ship in vast oceans," Computers, Materials & Continua, vol. 67, no.3, pp. 2971–2988, 2021.

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