Incompressible water-entry problems at small deadrise angles

Howison, Sam; Ockendon, J. R.; Wilson, S. K.

doi:10.1017/s0022112091001076

Cited by 272 publications

(327 citation statements)

References 17 publications

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“…the impact of a rigid body striking the surface of still water (Batchelor, 1973;Cointe & Armand, 1987;Cointe, 1989;Howison et al, 1991;Wagner, 1932). Pressure-impulse theory, applied to the changes in a moving liquid domain that collides with a fixed structure, was introduced by Cooker and Peregrine (1995).…”

Section: 2! Pressure-impulsementioning

confidence: 99%

Three-dimensional steep wave impact on a vertical cylinder

2016

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The present study treats the three-dimensional hydrodynamic slamming problem on a vertical plate subjected to the impact of a steep wave moving towards the plate with a constant velocity. The problem is complicated significantly by assuming that there is a rectangular opening on the plate which allows the discharge of the liquid. The analysis is conducted analytically assuming linear potential theory. The examined configuration determines two boundary value problems with mixed conditions which should be taken into account properly. The mathematical process assimilates the plate with a degenerate elliptical cylinder allowing thus the employment of elliptical harmonics that ensure the satisfaction of the free-surface boundary condition of the front face of the steep wave, beyond the plate. This assumption leads to an additional boundary value problem with mixed conditions in the vertical direction. The associated problem involves triple trigonometrical series and it is solved through a transformation into integral equations. To tackle the boundary value problem in the vertical direction a perturbation technique is employed. Extensive numerical calculations are presented as regards the variation of the velocity potential on the plate at the instant of the impact which reveals the influence of the opening. The theory is extended to the computation of the total impulse exerted on the plate using pressure-impulse theory.

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Section: 2! Pressure-impulsementioning

confidence: 99%

Three-dimensional steep wave impact on a vertical cylinder

2016

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“…The turnover curve, wherê z = h becomes vertical, is given by ∂Ω(t), with projection t = ω(εx − X(t), εŷ − Y (t)) on the (x,ŷ)-plane. The turnover curve is a direct three-dimensional generalisation of the turnover points as discussed in Howison et al (1991). The set Ω(t) lying inside ∂Ω(t) has projection t > ω(εx − X(t), εŷ − Y (t)) in the (x,ŷ)-plane.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…However, when the impacting body is almost parallel to the undisturbed fluid free surface, that is, when the deadrise angle of the body is small, progress can be made using Wagner's idea that the bulk of the fluid motion can be approximated as that experienced due to the presence of an expanding flat plate on the undisturbed planar free surface, as explained in, for example, Armand & Cointe (1987) and Howison et al (1991).…”

Section: Introductionmentioning

confidence: 99%

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Three-dimensional oblique water-entry problems at small deadrise angles

et al. 2012

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This paper extends Wagner theory for the ideal, incompressible normal impact of rigid bodies that are nearly parallel to the surface of a liquid half-space. The impactors considered are three-dimensional and have an oblique impact velocity. A variational formulation is used to reveal the relationship between the oblique and corresponding normal impact solutions. In the case of axisymmetric impactors, several geometries are considered in which singularities develop in the boundary of the effective wetted region. We present the corresponding pressure profiles and models for the splash sheets.Key words: Authors should not enter keywords on the manuscript, as these must be chosen by the author during the online submission process and will then be added during the typesetting process (see http://journals.cambridge.org/data/relatedlink/jfmkeywords.pdf for the full list)

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“…Semenov & Iafrati (2006) considered the problem of *Author for correspondence (gx_wu@meng.ucl.ac.uk). vertical water entry of an asymmetric wedge using a kind of mapping method for the complex potential, while Xu et al (2008) solved the problem of oblique water entry of an asymmetric wedge using the boundary element method for the complex potential. There are many other studies based on various simplified methods or asymptotic expansion, including those by Howison et al (1991), Fraenkel & McLeod (1997) and Mei et al (1999).…”

Section: Introductionmentioning

confidence: 99%

Simulation of water entry of a wedge through free fall in three degrees of freedom

Duan

2010

Proc. R. Soc. A.

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The water entry problem of a wedge through free fall in three degrees of freedom is studied through the velocity potential theory for the incompressible liquid. In particular, the effect of the body rotation is taken into account, which seems to have been neglected so far. The problem is solved in a stretched coordinate system through a boundary element method for the complex potential. The impact process is simulated based on the time stepping method. Auxiliary function method has been used to decouple the mutual dependence between the body motion and the fluid flow. The developed method is verified through results from other simulation and experimental data for some simplified cases. The method is then used to undertake extensive investigation for the free fall problems in three degrees of freedom.

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Incompressible water-entry problems at small deadrise angles

Cited by 272 publications

References 17 publications

Three-dimensional steep wave impact on a vertical cylinder

Three-dimensional steep wave impact on a vertical cylinder

Three-dimensional oblique water-entry problems at small deadrise angles

Simulation of water entry of a wedge through free fall in three degrees of freedom

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