1993
DOI: 10.1017/s002211209300028x
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Water entry of two-dimensional bodies

Abstract: 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° to 81°. A simple asymptotic solution for small deadrise angles α based on Wagner (1932) agrees with the similarity solution for small α.

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Cited by 546 publications
(429 citation statements)
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“…She used the conformal mapping method and obtained the solution which satisfied the nonlinear free surface boundary conditions. The problem was further considered by Zhao & Faltinsen (1993). In particular, they solved the Laplace equation using the boundary element method together with the time matching method.…”
Section: Introductionmentioning
confidence: 99%
“…She used the conformal mapping method and obtained the solution which satisfied the nonlinear free surface boundary conditions. The problem was further considered by Zhao & Faltinsen (1993). In particular, they solved the Laplace equation using the boundary element method together with the time matching method.…”
Section: Introductionmentioning
confidence: 99%
“…The Boundary Element Method (Greenhow & Lin, 1985;Zhao & Faltinsen, 1993) based on potential flow was commonly used as a numerical solution to solve the water entry problems in the early stage of researches but this method shows drawbacks on the treatment of the water free surface and pISSN: 1225-1143, Vol. 53, No.…”
Section: Introductionmentioning
confidence: 99%
“…In almost of the aforementioned studies, the model that used in the simulation is either simple wedge or Zhao model (Zhao & Faltinsen, 1993) whose shape does not have bulb.…”
Section: Introductionmentioning
confidence: 99%
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“…Based on these assumptions, analytical solutions are valid only for the initial stage of the flow which is self similar. Based on the generalized Wagner theory, Zhao and Faltinsen (1993) proposed a model reproducing the jet flow in the case of a wedge impacting the free surface. By generalizing the Zhao approach, Mei, Lui and Yue (1999) developed analytical solutions of water impact of general two dimensional sections.…”
Section: Introductionmentioning
confidence: 99%