Solving two-dimensional groundwater flow equation using alternating direction implicit method
Groundwater model can be described as a mathematical model and the equation of groundwater is governed by partial differential equation. In order to solve the groundwater flow equation, numerical method such that Finite Difference Method (FDM) is used. In this research, a two-dimensional transient g...
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my-utm-ep.534602020-07-15T03:51:45Z Solving two-dimensional groundwater flow equation using alternating direction implicit method 2014-06 Ahmad Nordin, Norain QA Mathematics Groundwater model can be described as a mathematical model and the equation of groundwater is governed by partial differential equation. In order to solve the groundwater flow equation, numerical method such that Finite Difference Method (FDM) is used. In this research, a two-dimensional transient groundwater flow equation for a confined, nonleaky, and homogeneous with mixed boundary conditions is solved using Alternating Direction Implicit (ADI) method where ADI method is one of the FDM. The algorithm of ADI method has been developed for three different types of boundary conditions that is Dirichlet condition, Neuman condition and Mixed condition. The transient groundwater flow equation has been derived and was solved using ADI method by Matlab software. Then, the results obtained were compared to analytical solution. Since the solutions from numerical method provide the small error when compared to the analytical solutions, it therefore can be concluded that ADI method provides good approximations in solving two-dimensional groundwater transient flow problem. 2014-06 Thesis http://eprints.utm.my/id/eprint/53460/ http://eprints.utm.my/id/eprint/53460/25/NorainAhmadNordinMFS2014.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:86587 masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science |
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QA Mathematics Ahmad Nordin, Norain Solving two-dimensional groundwater flow equation using alternating direction implicit method |
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Groundwater model can be described as a mathematical model and the equation of groundwater is governed by partial differential equation. In order to solve the groundwater flow equation, numerical method such that Finite Difference Method (FDM) is used. In this research, a two-dimensional transient groundwater flow equation for a confined, nonleaky, and homogeneous with mixed boundary conditions is solved using Alternating Direction Implicit (ADI) method where ADI method is one of the FDM. The algorithm of ADI method has been developed for three different types of boundary conditions that is Dirichlet condition, Neuman condition and Mixed condition. The transient groundwater flow equation has been derived and was solved using ADI method by Matlab software. Then, the results obtained were compared to analytical solution. Since the solutions from numerical method provide the small error when compared to the analytical solutions, it therefore can be concluded that ADI method provides good approximations in solving two-dimensional groundwater transient flow problem. |
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Thesis |
qualification_level |
Master's degree |
author |
Ahmad Nordin, Norain |
author_facet |
Ahmad Nordin, Norain |
author_sort |
Ahmad Nordin, Norain |
title |
Solving two-dimensional groundwater flow equation using alternating direction implicit method |
title_short |
Solving two-dimensional groundwater flow equation using alternating direction implicit method |
title_full |
Solving two-dimensional groundwater flow equation using alternating direction implicit method |
title_fullStr |
Solving two-dimensional groundwater flow equation using alternating direction implicit method |
title_full_unstemmed |
Solving two-dimensional groundwater flow equation using alternating direction implicit method |
title_sort |
solving two-dimensional groundwater flow equation using alternating direction implicit method |
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Universiti Teknologi Malaysia, Faculty of Science |
granting_department |
Faculty of Science |
publishDate |
2014 |
url |
http://eprints.utm.my/id/eprint/53460/25/NorainAhmadNordinMFS2014.pdf |
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1747817560690130944 |