Transient waves produced by flow past a bump

Inviscid, incompressible, irrotational transient free surface flow past a bump is considered. Asymptotic methods are used to show that for Froude numbers sufficiently close to 1, the transient flow begins by satisfying the classical linear theory. The free surface then grows with time to become nonl...

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Bibliographic Details
Published inWave motion Vol. 7; no. 6; pp. 579 - 587
Main Author Cole, S.L.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.01.1985
Elsevier
Subjects
Exact sciences and technology
Fluid dynamics
fluid mechanics
Fundamental areas of phenomenology (including applications)
Hydrodynamic waves
incompressible flow
numerical analysis
Physics
waves
Free surface flow
Surface wave
Obstacle
Wave generation
Shallow water
Korteweg de Vries equation
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Summary:Inviscid, incompressible, irrotational transient free surface flow past a bump is considered. Asymptotic methods are used to show that for Froude numbers sufficiently close to 1, the transient flow begins by satisfying the classical linear theory. The free surface then grows with time to become nonlinear then satisfying the Korteweg-de Vries (KdV) equation with a forcing term. When solved numerically, this equation shows that solitary waves are generated at the bump and run upstream.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0165-2125
1878-433X
DOI:10.1016/0165-2125(85)90035-6