Abstract
Two-dimensional steady surface waves on an ideal fluid over a small and symmetric bump are studied when the Froude number F of the uniform flow far upstream is greater than unity. Recent numerical results for a symmetric bump indicate that corresponding to F > 1 there may exist two solutions for the problem. One approaches the uniform flow and the other a solitary wave, as the bump size goes to zero. In this paper we use a two-parameter asymptotic expansion to derive an explicit approximate expression for the later solution and show that the expansion is indeed an asymptotic approximation to the solution of the exact nonlinear equations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
