Mathematical modelling of wave impact on landward-inclined and seaward-inclined seawalls

Shoreline and ocean structures are subjected to breaking wave loads which may reach 690kNm−2. To reduce these loading, we might slope the exposed surface seaward or landward. However, it is unclear that sloped walls can reduce the wave impact and recent models tests indicated that sloped walls might...

Full description

Saved in:

Bibliographic Details
Main Author:	Mohd Shahridwan, Ramli
Format:	Thesis
Language:	English
Published:	2019
Subjects:	QA Mathematics
Online Access:	http://umpir.ump.edu.my/id/eprint/31121/1/Mathematical%20modelling%20of%20wave%20impact%20on%20landward-inclined%20and%20seaward-inclined%20seawalls.wm.pdf
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my-ump-ir.31121
record_format	uketd_dc
spelling	my-ump-ir.311212023-04-06T01:30:58Z Mathematical modelling of wave impact on landward-inclined and seaward-inclined seawalls 2019-11 Mohd Shahridwan, Ramli QA Mathematics Shoreline and ocean structures are subjected to breaking wave loads which may reach 690kNm−2. To reduce these loading, we might slope the exposed surface seaward or landward. However, it is unclear that sloped walls can reduce the wave impact and recent models tests indicated that sloped walls might be exposed to higher loads than vertical walls. Motivated by these findings, we perform a theoretical study of wave impacts on sloped seawalls. The mathematical models of wave impacts on landward-inclined and seaward-inclined seawalls are considered by using an extension of Cooker’s model for vertical seawalls. The pressure impulse theory proposed by Cooker is applied into these two problems which simplify the highly time-dependent and very nonlinear problem by considering the time integral of the pressure over the duration of the impact pressure-impulse. The solution to this problem is found by solving Laplace’s Equation for specific boundary condition. The perturbation theory is applied into these models and the problems are solved by using MATLAB. The correlation between the pressure impulse and the inclination angle of the wall is investigated. The results are found to be in good agreement with the experimental study. It was found that the lowest pressure impulse occurs when the small inclination happens near to the vertical wall. Study also shows that pressure impulse increases as impact region increases. Breaking wave pressures increase to 17% for landward inclined wall and to 20% for seaward inclined wall compared to vertical wall at 10° incline with impact region of 0.5. Design recommendations were found to be conservative. 2019-11 Thesis http://umpir.ump.edu.my/id/eprint/31121/ http://umpir.ump.edu.my/id/eprint/31121/1/Mathematical%20modelling%20of%20wave%20impact%20on%20landward-inclined%20and%20seaward-inclined%20seawalls.wm.pdf pdf en public masters Universiti Malaysia Pahang Centre for Mathematical Sciences Nor Aida Zuraimi, Md Noar
institution	Universiti Malaysia Pahang Al-Sultan Abdullah
collection	UMPSA Institutional Repository
language	English
advisor	Nor Aida Zuraimi, Md Noar
topic	QA Mathematics
spellingShingle	QA Mathematics Mohd Shahridwan, Ramli Mathematical modelling of wave impact on landward-inclined and seaward-inclined seawalls
description	Shoreline and ocean structures are subjected to breaking wave loads which may reach 690kNm−2. To reduce these loading, we might slope the exposed surface seaward or landward. However, it is unclear that sloped walls can reduce the wave impact and recent models tests indicated that sloped walls might be exposed to higher loads than vertical walls. Motivated by these findings, we perform a theoretical study of wave impacts on sloped seawalls. The mathematical models of wave impacts on landward-inclined and seaward-inclined seawalls are considered by using an extension of Cooker’s model for vertical seawalls. The pressure impulse theory proposed by Cooker is applied into these two problems which simplify the highly time-dependent and very nonlinear problem by considering the time integral of the pressure over the duration of the impact pressure-impulse. The solution to this problem is found by solving Laplace’s Equation for specific boundary condition. The perturbation theory is applied into these models and the problems are solved by using MATLAB. The correlation between the pressure impulse and the inclination angle of the wall is investigated. The results are found to be in good agreement with the experimental study. It was found that the lowest pressure impulse occurs when the small inclination happens near to the vertical wall. Study also shows that pressure impulse increases as impact region increases. Breaking wave pressures increase to 17% for landward inclined wall and to 20% for seaward inclined wall compared to vertical wall at 10° incline with impact region of 0.5. Design recommendations were found to be conservative.
format	Thesis
qualification_level	Master's degree
author	Mohd Shahridwan, Ramli
author_facet	Mohd Shahridwan, Ramli
author_sort	Mohd Shahridwan, Ramli
title	Mathematical modelling of wave impact on landward-inclined and seaward-inclined seawalls
title_short	Mathematical modelling of wave impact on landward-inclined and seaward-inclined seawalls
title_full	Mathematical modelling of wave impact on landward-inclined and seaward-inclined seawalls
title_fullStr	Mathematical modelling of wave impact on landward-inclined and seaward-inclined seawalls
title_full_unstemmed	Mathematical modelling of wave impact on landward-inclined and seaward-inclined seawalls
title_sort	mathematical modelling of wave impact on landward-inclined and seaward-inclined seawalls
granting_institution	Universiti Malaysia Pahang
granting_department	Centre for Mathematical Sciences
publishDate	2019
url	http://umpir.ump.edu.my/id/eprint/31121/1/Mathematical%20modelling%20of%20wave%20impact%20on%20landward-inclined%20and%20seaward-inclined%20seawalls.wm.pdf
_version_	1783732157005430784

Mathematical modelling of wave impact on landward-inclined and seaward-inclined seawalls

Similar Items