Critical flow over an uneven bottom topography using Forced Korteweg-de Vries (fKdV)

• Published in: Journal of Physics: Conference Series
• Main Author: David V.D.; Bahar A.; Aziz Z.A.
• Format: Conference paper
• Language: English
• Published: IOP Publishing Ltd 2021
• Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104192498&doi=10.1088%2f1742-6596%2f1770%2f1%2f012042&partnerID=40&md5=77b35e4ad9f024e03a36dce96099a4be

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 Institute of Physics Publishing. All rights reserved.