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Journal ArticleDOI

Similarity solution for oblique water entry of an expanding paraboloid

Guoxiong Wu, +1 more
- 01 Apr 2014 - 
- Vol. 745, pp 398-408
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TLDR
Similarity solutions based on velocity potential theory are found to be possible in the case of an expanding paraboloid entering water when gravity is ignored in this article, and numerical solutions are obtained based on the boundary element method.
Abstract
Similarity solutions based on velocity potential theory are found to be possible in the case of an expanding paraboloid entering water when gravity is ignored. Numerical solutions are obtained based on the boundary element method. Iteration is used for the nonlinear boundary conditions on the unknown free surface, together with regular remeshing. Results are obtained for paraboloids with different slenderness (or bluntness). Flow features and pressure distributions are discussed along with the physical implications. It is also concluded that similarity solutions may be possible in more general cases.

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Citations
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Journal ArticleDOI

Experimental and numerical study of the water entry of projectiles at high oblique entry speed

TL;DR: In this article, the water entry of cylindrical projectiles at high oblique speed has been investigated experimentally and numerically, and it was found that the collapse of cavity and the generation of new cavity occur alternatively.
Journal ArticleDOI

Numerical simulation on the water entry of bow-flare section considering bulbous bow

TL;DR: In this article, a two-phase compressible flow model was established based on N-S equations and modeled by VOF (Volume of Fluid) algorithm, where geometric reconstruction approach was adopted to track the free surface and a dynamic mesh approach was used to treat body motion.
Journal ArticleDOI

Numerical prediction of slamming on bow-flared section considering geometrical and kinematic asymmetry

TL;DR: In this article, a two-phase flow model was established based on N-S equations, which were discretized through the finite volume method and the free surface was captured by VOF model.
Journal ArticleDOI

Experimental drop test investigation into slamming loads on a truncated 3D bow flare model

TL;DR: In this paper, a truncated bow flare model whose shape is from the ship-lines was used to simulate water entry problem and provided the 2D numerical results for different ship-like sections of the bow-flare model.
Journal ArticleDOI

Simulation of complete water exit of a fully-submerged body

TL;DR: In this article, the whole process of water exit of a fully-submerged rigid body is simulated using the boundary-element method for the velocity potential, and a numerical procedure is proposed for the free-surface breakup as well as for body detachment from water.
References
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Journal ArticleDOI

The Deformation of Steep Surface Waves on Water. I. A Numerical Method of Computation

TL;DR: In this paper, the authors present a method for following the time-history of space-periodic irrotational surface waves, where the only independent variables are the coordinates and velocity potential of marked particles at the free surface at each time step an integral equation is solved for the new normal component of velocity.
Journal ArticleDOI

Water entry of two-dimensional bodies

TL;DR: In this article, a nonlinear boundary element method with a jet flow approximation is presented for studying water entry of a two-dimensional body of arbitrary cross-section, and the method has been verified by comparison with new similarity solution results for wedges with deadrise angles varying from 4° to 81°.

Water entry of arbitrary two-dimensional sections with and without flow separation

TL;DR: In this paper, two different theoretical methods for predicting slamming loads on two-dimensional sections have been developed, one of which is a fully nonlinear numerical simulation, that includes flow separation from knuckles or fixed separation points of abody with continuously curved surface.
Journal ArticleDOI

On some problems of similarity flow of fluid with a free surface

TL;DR: In this paper, the authors proposed a method of solving a class of two-dimensional problems of the similarity flow of an incompressible fluid with a free surface, where the fluid is assumed to be non-viscous and weightless.
Journal ArticleDOI

Three-dimensional theory of water impact. Part 1. Inverse Wagner problem

TL;DR: In this paper, it was shown that an elliptic paraboloid entering calm water at a constant velocity has a contact line with the free surface of an ideal incompressible liquid, and the shape of the impacting body is determined from the Wagner condition.
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