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- W2156043404 abstract "Steady two-dimensional potential flow past a semi-infinite flat-bottomed body is considered. This stern flow is assumed to separate tangentially from the body. Gravity waves of finite amplitude occur on the free surface. An exact relation between the amplitude of these waves and the Fronde number F is derived. It shows that these waves can exist only for F greater than the value F * = 2·23. This is slightly less than the value F c = 2·26 at which breaking occurs. For F slightly larger than F * , the steepness is a multi-valued function of F , indicating the existence of more than one solution for these values of F . In addition, a numerical scheme based on an integro-differential equation formulation is derived to solve the problem in the fully nonlinear case. The shape of the free surface profile is computed for different values of F . As a check on the numerical results, they are shown to satisfy the exact relation between steepness and the Froude number." @default.
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- W2156043404 date "1980-02-13" @default.
- W2156043404 modified "2023-09-27" @default.
- W2156043404 title "Nonlinear stern waves" @default.
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- W2156043404 doi "https://doi.org/10.1017/s0022112080002273" @default.
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