Summary
Two-dimensional steady flow of an ideal fluid with a free surface over a semi-elliptical body attached to the bottom of a stream is considered. A numerical method is presented for computing the values of the ellipse length at which the non-linear wave train normally present downstream of the body vanishes, and the semi-elliptical body therefore experiences no wave resistance. These special ellipse lengths are shown to be such strong functions of the ellipse height that the predictions of linearized theory are grossly inadequate in general.
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References
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L. K. Forbes and L. W. Schwartz, Free-surface flow over a semi-circular obstruction, to appear in J. Fluid Mech. (1982).
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Forbes, L.K. Non-linear, drag-free flow over a submerged semi-elliptical body. J Eng Math 16, 171–180 (1982). https://doi.org/10.1007/BF00042552
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DOI: https://doi.org/10.1007/BF00042552