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...

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Bibliographic Details
Main Authors: David, Vincent Daniel, Bahar, Arifah, Abdul Aziz, Zainal
Format: Conference or Workshop Item
Language:English
Published: 2021
Subjects:
Online Access:http://eprints.utm.my/98026/1/ArifahBahar2021_CriticalFlowOverAnUnevenBottomTopography.pdf
Description
Summary: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.