Abstract
The nonlinear problem of wave resistance is tackled in this paper by formulating it in the Fourier space and by deriving a nonlinear integral equation of the Zakharov-type for the velocity potential. This procedure is illustrated by computing the wave drag of a submerged cylinder (2D) and a sphere (3D). Special attention is paid to the small Froude number non-uniformity exhibited by the regular perturbation scheme. A uniform generalized expansion which satisfies the new nonlinear integral equation is constructed in this paper and the resulting generalized wave drag is shown to be considerably larger than that predicted by the regular perturbation. Several existing methods, which are based on a quasilinearization of the free-surface boundary conditions, are also discussed and compared against the present nonlinear solution.
| Original language | English |
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| Pages | 373-386 |
| Number of pages | 14 |
| State | Published - 1985 |