Mathematical modelling of wave impacts on seaward-inclined seawall

• Main Authors: Mohd Shahridwan, Ramli, Fadhlyya Arawaney, Abdul Ghani, Nor Aida Zuraimi, Md Noar, Mohd Zuki, Salleh, Greenhow, Martin
• Format: Conference or Workshop Item
• Language: English
• Published: IOP Publishing 2017
• Subjects: QA Mathematics
• Online Access: http://umpir.ump.edu.my/id/eprint/20087/1/ICoAIMS%20IOP%20Shah.pdf; http://umpir.ump.edu.my/id/eprint/20087/; https://doi.org/10.1088/1742-6596/890/1/012008
• Institution: Universiti Malaysia Pahang

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.