自己相似流場の砕波現象について

概要

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Mechanism of the occurrence of wave breaking with vortex sheets is discussed by thinking the self-similar flow in strict consideration of the gravitational effect. Approximate realization of the self-similar flow with wave breaking was experimentally confirmed by using a ship model with triangular similar sections whose keel line varies as AX^2 where X is the longitudinal length. It is shown that the zonal breadth of wave breaking is proportional to e X^2/F^2 and it is related to the zone of the existence of longitudinal waves as a result of applying a linearized theory under the assumption that ε≪1 and F≪1, where e is an appex angle and F is defined as U_∞√<A/g>. Examinations of local solutions under the nonlinear free surface conditions showed an existence of the singular solution with a vortex sheet on the production of folded wave surface into two. Its solution explains the mechanism of the initiation of wave breaking phenomena.
社団法人日本船舶海洋工学会の論文