Mathematical modelling of wave impacts on seaward-inclined seawall

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. C...

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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/ http://umpir.ump.edu.my/id/eprint/20087/ http://umpir.ump.edu.my/id/eprint/20087/ http://umpir.ump.edu.my/id/eprint/20087/1/ICoAIMS%20IOP%20Shah.pdf

id	ump-20087
recordtype	eprints
spelling	ump-200872018-03-22T03:47:21Z http://umpir.ump.edu.my/id/eprint/20087/ Mathematical modelling of wave impacts on seaward-inclined seawall Mohd Shahridwan, Ramli Fadhlyya Arawaney, Abdul Ghani Nor Aida Zuraimi, Md Noar Mohd Zuki, Salleh Greenhow, Martin QA Mathematics 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. IOP Publishing 2017 Conference or Workshop Item PeerReviewed application/pdf en cc_by http://umpir.ump.edu.my/id/eprint/20087/1/ICoAIMS%20IOP%20Shah.pdf 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) https://doi.org/10.1088/1742-6596/890/1/012008 doi: 10.1088/1742-6596/890/1/012008
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Mohd Shahridwan, Ramli Fadhlyya Arawaney, Abdul Ghani Nor Aida Zuraimi, Md Noar Mohd Zuki, Salleh Greenhow, Martin Mathematical modelling of wave impacts on seaward-inclined seawall
description	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.
format	Conference or Workshop Item
author	Mohd Shahridwan, Ramli Fadhlyya Arawaney, Abdul Ghani Nor Aida Zuraimi, Md Noar Mohd Zuki, Salleh Greenhow, Martin
author_facet	Mohd Shahridwan, Ramli Fadhlyya Arawaney, Abdul Ghani Nor Aida Zuraimi, Md Noar Mohd Zuki, Salleh Greenhow, Martin
author_sort	Mohd Shahridwan, Ramli
title	Mathematical modelling of wave impacts on seaward-inclined seawall
title_short	Mathematical modelling of wave impacts on seaward-inclined seawall
title_full	Mathematical modelling of wave impacts on seaward-inclined seawall
title_fullStr	Mathematical modelling of wave impacts on seaward-inclined seawall
title_full_unstemmed	Mathematical modelling of wave impacts on seaward-inclined seawall
title_sort	mathematical modelling of wave impacts on seaward-inclined seawall
publisher	IOP Publishing
publishDate	2017
url	http://umpir.ump.edu.my/id/eprint/20087/ http://umpir.ump.edu.my/id/eprint/20087/ http://umpir.ump.edu.my/id/eprint/20087/ http://umpir.ump.edu.my/id/eprint/20087/1/ICoAIMS%20IOP%20Shah.pdf
first_indexed	2023-09-18T22:28:46Z
last_indexed	2023-09-18T22:28:46Z
_version_	1777416144936763392

Mathematical modelling of wave impacts on seaward-inclined seawall

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