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) |
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| 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 |
| Download Statistic: | View Download Statistics |
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