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Water entry of two-dimensional bodies. (English) Zbl 0766.76008

Summary: A numerical method for studying water entry of a two-dimensional body of arbitrary cross-section is presented. It is a nonlinear boundary element method with a jet flow approximation. The method has been verified by comparisons with new similarity solution results for wedges with deadrise angles varying from \(4^ \circ\) to \(81^ \circ\). A simple asymptotic solution for small deadrise angles \(\alpha\) based on H. Wagner [Z. Angew. Math. Mech. 12, 193-215 (1932; Zbl 0005.12601)] agrees with the similarity solution for small \(\alpha\).

MSC:

76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
76M15 Boundary element methods applied to problems in fluid mechanics

Citations:

Zbl 0005.12601
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References:

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