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Approximating one-dimensional coupled shallow-water equations for predicting tsunami wave propagation using finite difference method

Master of Science in Engineering Mathematics

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Bibliographic Details
Main Author: Nurhusnina, Mohd Supian
Other Authors: Nursalasawati, Rusli, Dr.
Format: Dissertation
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2017
Subjects:
Seismic waves
Elastic wave propagation
Water waves
Tsunamis > Research
Tsunamis
Differential equations, Partial
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77891
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spelling my.unimap-778912023-02-21T03:53:36Z Approximating one-dimensional coupled shallow-water equations for predicting tsunami wave propagation using finite difference method Nurhusnina, Mohd Supian Nursalasawati, Rusli, Dr. Seismic waves Elastic wave propagation Water waves Tsunamis -- Research Tsunamis Differential equations, Partial Master of Science in Engineering Mathematics Several countries on the Indian Ocean are hit by the tsunami on 26th December 2004. The tsunami is a rare phenomenon compared to other natural hazards. In order to enhance the preparedness of the people due to the tsunami, the tsunami wave propagation is predicted. Hence one-dimensional shallow-water equations are used in this study since the tsunami is considered as a shallow-water wave. The shallow-water equations are discretized using explicit finite difference method. Then, the numerical method is validated with  -method and analytical solution for free surface wave damping problem as to ensure that the proposed method is suitable for solving onedimensional shallow-water equations. The tsunami wave heights and effects show a high variability along the coastline. One way to study this complexity is by simulating the tsunami wave propagation. To simulate the tsunami, the boundary conditions, initial conditions, spatial and time step sizes, as well as the shallow-water equations in finite difference form, are coded into MATLAB software. The results showed that the tsunami wave is propagating towards the coastline as the time increases. The simulation results had successfully predicted the behaviour of tsunami wave propagation near the coastline. 2017 2023-02-21T03:49:53Z 2023-02-21T03:49:53Z Dissertation http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77891 en Universiti Malaysia Perlis (UniMAP) Universiti Malaysia Perlis (UniMAP) Institute of Engineering Mathematics
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Seismic waves
Elastic wave propagation
Water waves
Tsunamis -- Research
Tsunamis
Differential equations, Partial
spellingShingle Seismic waves
Elastic wave propagation
Water waves
Tsunamis -- Research
Tsunamis
Differential equations, Partial
Nurhusnina, Mohd Supian
Approximating one-dimensional coupled shallow-water equations for predicting tsunami wave propagation using finite difference method
description Master of Science in Engineering Mathematics
author2 Nursalasawati, Rusli, Dr.
author_facet Nursalasawati, Rusli, Dr.
Nurhusnina, Mohd Supian
format Dissertation
author Nurhusnina, Mohd Supian
author_sort Nurhusnina, Mohd Supian
title Approximating one-dimensional coupled shallow-water equations for predicting tsunami wave propagation using finite difference method
title_short Approximating one-dimensional coupled shallow-water equations for predicting tsunami wave propagation using finite difference method
title_full Approximating one-dimensional coupled shallow-water equations for predicting tsunami wave propagation using finite difference method
title_fullStr Approximating one-dimensional coupled shallow-water equations for predicting tsunami wave propagation using finite difference method
title_full_unstemmed Approximating one-dimensional coupled shallow-water equations for predicting tsunami wave propagation using finite difference method
title_sort approximating one-dimensional coupled shallow-water equations for predicting tsunami wave propagation using finite difference method
publisher Universiti Malaysia Perlis (UniMAP)
publishDate 2017
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77891
_version_ 1772813064836481024
score 13.214268

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