Numerical method for dam break problem using Godunov approach
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Institute of Engineering Mathematics, Universiti Malaysia Perlis
2014
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my.unimap-356192018-07-24T01:54:09Z Numerical method for dam break problem using Godunov approach Mohamad Fadhli, Ahmad, Dr. Mustafa, Mamat, Dr. W. B., Wan Nik Agus Kartono, Dr. fadhli@umt.edu.my Godunov approach Roe’s scheme Shallow water equation Link to publisher's homepage at http://amci.unimap.edu.my In this study a numerical scheme was developed in order to overcome the problem of shock wave for the test case of dam break. The numerical scheme was based on Godunov approach of finite volume method to solve the shallow water equation. In order to expedite and improve the solution an approximate Roe’s Riemann solver associated with Monotone Upstream-centred Scheme for Conservation Laws (MUSCL) was applied. The results were presented in one and two dimensional and verifications were made with analytical solution. The results are comparable and a good agreement is achieved between numerical and analytical. 2014-06-17T09:27:07Z 2014-06-17T09:27:07Z 2013 Article Applied Mathematics and Computational Intelligence (AMCI), vol.2 (1), 2013, pages 95-107 2289-1315 (print) 2289-1323 (online) http://dspace.unimap.edu.my:80/dspace/handle/123456789/35619 http://amci.unimap.edu.my/Vol_2_1_2013/04.html en Institute of Engineering Mathematics, Universiti Malaysia Perlis |
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Universiti Malaysia Perlis |
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| language |
English |
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Godunov approach Roe’s scheme Shallow water equation |
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Godunov approach Roe’s scheme Shallow water equation Mohamad Fadhli, Ahmad, Dr. Mustafa, Mamat, Dr. W. B., Wan Nik Agus Kartono, Dr. Numerical method for dam break problem using Godunov approach |
| description |
Link to publisher's homepage at http://amci.unimap.edu.my |
| author2 |
fadhli@umt.edu.my |
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fadhli@umt.edu.my Mohamad Fadhli, Ahmad, Dr. Mustafa, Mamat, Dr. W. B., Wan Nik Agus Kartono, Dr. |
| format |
Article |
| author |
Mohamad Fadhli, Ahmad, Dr. Mustafa, Mamat, Dr. W. B., Wan Nik Agus Kartono, Dr. |
| author_sort |
Mohamad Fadhli, Ahmad, Dr. |
| title |
Numerical method for dam break problem using Godunov approach |
| title_short |
Numerical method for dam break problem using Godunov approach |
| title_full |
Numerical method for dam break problem using Godunov approach |
| title_fullStr |
Numerical method for dam break problem using Godunov approach |
| title_full_unstemmed |
Numerical method for dam break problem using Godunov approach |
| title_sort |
numerical method for dam break problem using godunov approach |
| publisher |
Institute of Engineering Mathematics, Universiti Malaysia Perlis |
| publishDate |
2014 |
| url |
http://dspace.unimap.edu.my:80/dspace/handle/123456789/35619 |
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1643804039596474368 |