Critical flow over an uneven bottom topography using Forced Korteweg-de Vries (fKdV)
This research examined the critical flow over an uneven bump using forced Korteweg-de Vries (fKdV) model. The forced KdV model containing forcing term which represent an uneven bump is solved using Homotopy Analysis Method (HAM). HAM is a semi-analytic technique whereby its solution contains a serie...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2021
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| Subjects: | |
| Online Access: | http://eprints.utm.my/98026/1/ArifahBahar2021_CriticalFlowOverAnUnevenBottomTopography.pdf |
| _version_ | 1796866539120492544 |
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| author | David, Vincent Daniel Bahar, Arifah Abdul Aziz, Zainal |
| author_facet | David, Vincent Daniel Bahar, Arifah Abdul Aziz, Zainal |
| author_sort | David, Vincent Daniel |
| collection | ePrints |
| description | This research examined the critical flow over an uneven bump using forced Korteweg-de Vries (fKdV) model. The forced KdV model containing forcing term which represent an uneven bump is solved using Homotopy Analysis Method (HAM). HAM is a semi-analytic technique whereby its solution contains a series of approximated solution in which it converges immediately to the exact solution. A particular HAM solution is chosen with an appropriate convergence parameter by referring to horizontal line segment. The convergent HAM solution depicts that waves only exhibited over the sloping region and no rise of waves found on flat part of bottom topography. |
| first_indexed | 2024-03-05T21:13:40Z |
| format | Conference or Workshop Item |
| id | utm.eprints-98026 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T21:13:40Z |
| publishDate | 2021 |
| record_format | dspace |
| spelling | utm.eprints-980262022-11-23T07:05:49Z http://eprints.utm.my/98026/ Critical flow over an uneven bottom topography using Forced Korteweg-de Vries (fKdV) David, Vincent Daniel Bahar, Arifah Abdul Aziz, Zainal QA Mathematics This research examined the critical flow over an uneven bump using forced Korteweg-de Vries (fKdV) model. The forced KdV model containing forcing term which represent an uneven bump is solved using Homotopy Analysis Method (HAM). HAM is a semi-analytic technique whereby its solution contains a series of approximated solution in which it converges immediately to the exact solution. A particular HAM solution is chosen with an appropriate convergence parameter by referring to horizontal line segment. The convergent HAM solution depicts that waves only exhibited over the sloping region and no rise of waves found on flat part of bottom topography. 2021 Conference or Workshop Item PeerReviewed application/pdf en http://eprints.utm.my/98026/1/ArifahBahar2021_CriticalFlowOverAnUnevenBottomTopography.pdf David, Vincent Daniel and Bahar, Arifah and Abdul Aziz, Zainal (2021) Critical flow over an uneven bottom topography using Forced Korteweg-de Vries (fKdV). In: 2nd International Conference on Mathematical Sciences, ICMS 2020, 4 - 6 March 2020, Chennai, India. http://dx.doi.org/10.1088/1742-6596/1770/1/012042 |
| spellingShingle | QA Mathematics David, Vincent Daniel Bahar, Arifah Abdul Aziz, Zainal Critical flow over an uneven bottom topography using Forced Korteweg-de Vries (fKdV) |
| title | Critical flow over an uneven bottom topography using Forced Korteweg-de Vries (fKdV) |
| title_full | Critical flow over an uneven bottom topography using Forced Korteweg-de Vries (fKdV) |
| title_fullStr | Critical flow over an uneven bottom topography using Forced Korteweg-de Vries (fKdV) |
| title_full_unstemmed | Critical flow over an uneven bottom topography using Forced Korteweg-de Vries (fKdV) |
| title_short | Critical flow over an uneven bottom topography using Forced Korteweg-de Vries (fKdV) |
| title_sort | critical flow over an uneven bottom topography using forced korteweg de vries fkdv |
| topic | QA Mathematics |
| url | http://eprints.utm.my/98026/1/ArifahBahar2021_CriticalFlowOverAnUnevenBottomTopography.pdf |
| work_keys_str_mv | AT davidvincentdaniel criticalflowoveranunevenbottomtopographyusingforcedkortewegdevriesfkdv AT bahararifah criticalflowoveranunevenbottomtopographyusingforcedkortewegdevriesfkdv AT abdulazizzainal criticalflowoveranunevenbottomtopographyusingforcedkortewegdevriesfkdv |