Various interaction patterns of free-surface flow over multiple bumps at the bottom topography
The free-surface flow generated by multiple bumps at the bottom topography in a rectangular channel was considered, in the framework of the forced Korteweg-de Vries (fKdV) equation. The fKdV equationwill be solved numerically using pseudo-spectral method as an analytical solution could not be obtain...
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American Scientific Publishers
2014
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author | Kee, B. H. Ong, Chee Tiong Tiong, W. K. |
author_facet | Kee, B. H. Ong, Chee Tiong Tiong, W. K. |
author_sort | Kee, B. H. |
collection | ePrints |
description | The free-surface flow generated by multiple bumps at the bottom topography in a rectangular channel was considered, in the framework of the forced Korteweg-de Vries (fKdV) equation. The fKdV equationwill be solved numerically using pseudo-spectral method as an analytical solution could not be obtained due to the presence of forcing term and broken symmetry. Various interaction patterns of solitary waves with certain parameter regimes were observed and presented in various graphical forms. Interesting interaction patterns of the collision between uniformly forced solitons will provide us with a better understanding of the hindrance caused by multiple bumps at the uneven bottom topography and it will have a high impact on the water flow in a rectangular channel with uneven bottom topography. |
first_indexed | 2024-03-05T19:56:02Z |
format | Article |
id | utm.eprints-63212 |
institution | Universiti Teknologi Malaysia - ePrints |
last_indexed | 2024-03-05T19:56:02Z |
publishDate | 2014 |
publisher | American Scientific Publishers |
record_format | dspace |
spelling | utm.eprints-632122017-06-18T06:48:58Z http://eprints.utm.my/63212/ Various interaction patterns of free-surface flow over multiple bumps at the bottom topography Kee, B. H. Ong, Chee Tiong Tiong, W. K. Q Science The free-surface flow generated by multiple bumps at the bottom topography in a rectangular channel was considered, in the framework of the forced Korteweg-de Vries (fKdV) equation. The fKdV equationwill be solved numerically using pseudo-spectral method as an analytical solution could not be obtained due to the presence of forcing term and broken symmetry. Various interaction patterns of solitary waves with certain parameter regimes were observed and presented in various graphical forms. Interesting interaction patterns of the collision between uniformly forced solitons will provide us with a better understanding of the hindrance caused by multiple bumps at the uneven bottom topography and it will have a high impact on the water flow in a rectangular channel with uneven bottom topography. American Scientific Publishers 2014 Article PeerReviewed Kee, B. H. and Ong, Chee Tiong and Tiong, W. K. (2014) Various interaction patterns of free-surface flow over multiple bumps at the bottom topography. International Conference on Quantitative Sciences and Its Applications (ICOQSIA 2014), 1635 . pp. 72-79. ISSN 0094-243X http://dx.doi.org/10.1063/1.4903565 DOI :10.1063/1.4903565 |
spellingShingle | Q Science Kee, B. H. Ong, Chee Tiong Tiong, W. K. Various interaction patterns of free-surface flow over multiple bumps at the bottom topography |
title | Various interaction patterns of free-surface flow over multiple bumps at the bottom topography |
title_full | Various interaction patterns of free-surface flow over multiple bumps at the bottom topography |
title_fullStr | Various interaction patterns of free-surface flow over multiple bumps at the bottom topography |
title_full_unstemmed | Various interaction patterns of free-surface flow over multiple bumps at the bottom topography |
title_short | Various interaction patterns of free-surface flow over multiple bumps at the bottom topography |
title_sort | various interaction patterns of free surface flow over multiple bumps at the bottom topography |
topic | Q Science |
work_keys_str_mv | AT keebh variousinteractionpatternsoffreesurfaceflowovermultiplebumpsatthebottomtopography AT ongcheetiong variousinteractionpatternsoffreesurfaceflowovermultiplebumpsatthebottomtopography AT tiongwk variousinteractionpatternsoffreesurfaceflowovermultiplebumpsatthebottomtopography |