For safe design and operation of high-speed craft, it is essential to develop a methodology for assessing the critical conditions for surf-riding. This is because surf-riding of high-speed craft could result in broaching or bow-diving in following waves. However, this is still an unsolved problem in the framework of the IMO High-Speed Craft Code. In particular, for high-speed craft the higher limit of operational speed resulting in surf-riding is important, while the lower limits have already been investigated for conventional ships. Considering this, a significant effort has gone into developing a numerical simulation to investigate the critical speed for surf-riding to occur in the past. However, this is too complex to apply on a routine basis for commercial high-speed craft. Therefore, for more practical applications, an analytical method has been developed for calculating the upper threshold, the boundary between overtaking waves and surf-riding, and this is verified with the numerical simulation and validated with results from free running model experiments. The results can be used for ensuring the safe design and operation of high-speed marine vessels without numerical integration.
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