Approximating one-dimensional coupled shallow water equation for predicting tsunami wave propagation using new semi-implicit method

Master of Science in Engineering Mathematics

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Bibliographic Details
Main Author: Siti Maryam Hafiza, Mohd Kanafiah
Other Authors: Nursalasawati, Rusli, Dr.
Format: Dissertation
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2016
Subjects:
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77064
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spelling my.unimap-770642022-11-17T04:31:20Z Approximating one-dimensional coupled shallow water equation for predicting tsunami wave propagation using new semi-implicit method Siti Maryam Hafiza, Mohd Kanafiah Nursalasawati, Rusli, Dr. Tsunamis -- Research Water waves Tsunamis Seismic waves Elastic wave propagation Master of Science in Engineering Mathematics Tsunamis are uncommon events compared to natural hazards. Population growth along the shorelines has increased the statistic of the number of victims affected by the tsunami disaster. In order to help people to be aware about the tsunami disasters, a tsunami wave propagation must be predicted. This study proposed a one dimensional coupled shallow water equation for predicting the tsunami wave propagation. The simulation of numerical modelling was conducted to predict the occurrence of tsunami wave propagation. In order to approximate the shallow water equation, the discretization process was conducted using a new semi-implicit method which is one of the methods in finite difference method. A problem regarding the free surface wave damping problem were used in validating the semiimplicit method. After the validation process, the numerical algorithm was developed in MATLAB software to solve the one dimensional coupled shallow water equation for the tsunami wave propagation. For the purposes of the simulation, the boundary condition and initial condition, the spatial steps and time steps as well as the approximation of shallow water equation were encoded. The simulation results of one dimensional shallow water equation successfully predicted the behaviour of the tsunami propagation near the coastline after the earthquake ground shaking occurred. 2016 2022-11-17T04:29:30Z 2022-11-17T04:29:30Z Dissertation http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77064 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 Tsunamis -- Research
Water waves
Tsunamis
Seismic waves
Elastic wave propagation
spellingShingle Tsunamis -- Research
Water waves
Tsunamis
Seismic waves
Elastic wave propagation
Siti Maryam Hafiza, Mohd Kanafiah
Approximating one-dimensional coupled shallow water equation for predicting tsunami wave propagation using new semi-implicit method
description Master of Science in Engineering Mathematics
author2 Nursalasawati, Rusli, Dr.
author_facet Nursalasawati, Rusli, Dr.
Siti Maryam Hafiza, Mohd Kanafiah
format Dissertation
author Siti Maryam Hafiza, Mohd Kanafiah
author_sort Siti Maryam Hafiza, Mohd Kanafiah
title Approximating one-dimensional coupled shallow water equation for predicting tsunami wave propagation using new semi-implicit method
title_short Approximating one-dimensional coupled shallow water equation for predicting tsunami wave propagation using new semi-implicit method
title_full Approximating one-dimensional coupled shallow water equation for predicting tsunami wave propagation using new semi-implicit method
title_fullStr Approximating one-dimensional coupled shallow water equation for predicting tsunami wave propagation using new semi-implicit method
title_full_unstemmed Approximating one-dimensional coupled shallow water equation for predicting tsunami wave propagation using new semi-implicit method
title_sort approximating one-dimensional coupled shallow water equation for predicting tsunami wave propagation using new semi-implicit method
publisher Universiti Malaysia Perlis (UniMAP)
publishDate 2016
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77064
_version_ 1751537838906671104
score 13.222552