1. Wave Breaking Phenomena in Self-Similar Flow

概要

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Mechanism of the occurrence of wave breaking accompanied with vortex sheets is discussed by considering the self-similar flow in strictly taking account of the gravitational force. Approximate realization of the self-similar follow with wave breaking was experimentally confirmed by using a ship-like model with geometrically similar, triangular sections whose depth of keel line varies as AX^2, where X is the longitudinal length and A constant. It is shown that the breadth of wave breaking zone is proportional to ε X^2/F^2 and it is related to the zone of the existence of diverging waves as a result of applying a linearized theory under the assumption that ε≪1 and F≪1, where ε is a semi-apex-angle at keel of the model sections and F is defined as [numerical formula] Examinations of local flow solutions under the nonlinear free surface conditions showed an existence of the singular solution with a vortex sheet on the production of cusp-like, or folded wave surface.
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