Initial asymptotics of the flow caused by sudden motion of a floating wedge is considered. Sedov's solution is corrected close to the intersection points, where the local flow is non-linear and self-similar at the initial stage. The local flow is calculated by iterations together with the unknown shape pf the free surface. The required number of iterations is essentially reduced with a proper first guess of the free surface shape. The first guess accounts for the features of the local flow obtained by asymptotic methods.

On the similarity solution generated by the water impact of a floating wedge

A Iafrati
2003

Abstract

Initial asymptotics of the flow caused by sudden motion of a floating wedge is considered. Sedov's solution is corrected close to the intersection points, where the local flow is non-linear and self-similar at the initial stage. The local flow is calculated by iterations together with the unknown shape pf the free surface. The required number of iterations is essentially reduced with a proper first guess of the free surface shape. The first guess accounts for the features of the local flow obtained by asymptotic methods.
2003
Istituto di iNgegneria del Mare - INM (ex INSEAN)
Matched asymptotic expansions
Small time asymptotics
Potential flow
Self-similar solution
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/123665
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