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Mathematical modelling of wave impacts on seaward-inclined seawall

Mohd Shahridwan, Ramli and Fadhlyya Arawaney, Abdul Ghani and Nor Aida Zuraimi, Md Noar and Mohd Zuki, Salleh and Greenhow, Martin (2017) Mathematical modelling of wave impacts on seaward-inclined seawall. In: Journal of Physics: Conference Series, 1st International Conference on Applied & Industrial Mathematics and Statistics 2017 (ICoAIMS 2017), 8-10 August 2017 , Kuantan, Pahang, Malaysia. pp. 1-9., 890 (012008 ). ISSN 1742-6588 (print); 1742-6596 (online)

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Abstract

In this study, the numerical investigation of a mathematical model of wave impacts on an inclined seawall is considered, using an extension of Cooker’s model for vertical seawalls due to Greenhow, who considered a perturbation model to study the effect of small wall inclinations from the vertical. Cooker used pressure impulse theory to simplify the highly time-dependent and very nonlinear boundary-value problem (bvp) by considering the time integral of the pressure during the duration of the impact pressure-impulse. The solution to this bvp is found by solving Laplace’s Equation for simplified boundary conditions. The perturbation theory gives a series of bvps which are solved analytically by MATLAB. The relation between the pressure impulse and the inclination angle of a wall is investigated. We find that as the seaward or landward inclination of the seawall increases, the pressure impulse increases.

Item Type: Conference or Workshop Item (Lecture)
Uncontrolled Keywords: Boundary value problems; Laplace transforms; Offshore structures; Perturbation techniques
Subjects: Q Science > QA Mathematics
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Dr. Nor Aida Zuraimi Md Noar
Date Deposited: 22 Mar 2018 03:47
Last Modified: 22 Mar 2018 03:47
URI: http://umpir.ump.edu.my/id/eprint/20087
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