Oblique water entry of a cone by a fully three-dimensional nonlinear method

Sun, Shiyan; Wu, G.X.

doi:10.1016/j.jfluidstructs.2013.05.012

Cited by 44 publications

(15 citation statements)

References 30 publications

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“…Due to the horizontal velocity in the x direction, the slope of the pressure curve in the y = 0 plane is no longer zero at the tip, as shown in figure 7(a), while it is still zero in the x = 0 plane, clearly because of the symmetry about the y = 0 plane. In contrast to the discontinuity and sharp variation at the tip of a cone (Sun & Wu 2013a), the pressure here is finite and continuous at the tip. In the vertical entry case, the peak pressure for λ = 1 is at the tip of the body, as shown in figure 5(a).…”

Section: Oblique Water Entrymentioning

confidence: 86%

“…This problem was also solved by Battistin & Iafrati (2003) and by Xu, Duan & Wu (2011). In three dimensions, Sun & Wu (2013a) considered the oblique water entry of a cone and subsequently (in Sun & Wu 2013b) solved the problem of water entry of non-axisymmetric bodies with varying speed. While the above research on self-similar problems has provided significant insight into fluid-structure impact phenomena, the shapes of the solid surface in all these works are limited.…”

Section: Introductionmentioning

confidence: 99%

“…The integration is performed over the whole boundary of the fluid domain, including the free surface, the body surface and the control surface away from the body. These surfaces are discretized into many small elements, and ϕ is approximated by a shape function in each element (Sun & Wu 2013a). We note that the shape of the free surface on which the conditions (2.14) and (2.15) are imposed is unknown before obtaining the solution.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Similarity solution for oblique water entry of an expanding paraboloid

Sun

2014

J. Fluid Mech.

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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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Section: Oblique Water Entrymentioning

confidence: 86%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Similarity solution for oblique water entry of an expanding paraboloid

Sun

2014

J. Fluid Mech.

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“…(19) can also be obtained by using the auxiliary function technique Taylor, 1996, 2003), the details can be found in Wu and Hu (2005) and Sun & Wu (2013, 2014. The hydrodynamic force can be obtained through integrating the pressure along the body surface.…”

Section: Hydrodynamic Pressure and Forcementioning

confidence: 99%

Free surface flow generated by submerged twin-cylinders in forward motion using a fully nonlinear method

Ren

Sun

2015

J. Marine. Sci. Appl.

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The free surface flow generated by twin-cylinders in forced motion submerged beneath the free surface is studied based on the boundary element method. Two relative locations, namely, horizontal and vertical, are examined for the twin cylinders. In both cases, the twin cylinders are starting from rest and ultimately moving with the same constant speed through an accelerating process. Assuming that the fluid is inviscid and incompressible and the flow to be irrotational, the integral Laplace equation can be discretized based on the boundary element method. Fully-nonlinear boundary conditions are satisfied on the unknown free surface and the moving body surface. The free surface is traced by a Lagrangian technique. Regriding and remeshing are applied, which is crucial to quality of the numerical results. Single circular cylinder and elliptical cylinder are calculated by linear method and fully nonlinear method for accuracy checking and then fully nonlinear method is conducted on the twin cylinder cases, respectively. The generated wave elevation and the resultant force are analysed to discuss the influence of the gap between the two cylinders as well as the water depth. It is found that no matter the kind of distribution, when the moving cylinders are close to each other, they suffer hydrodynamic force with large absolute value in the direction of motion. The trend of force varying with the increase of gap can be clearly seen from numerical analysis. The vertically distributed twin cylinders seem to attract with each other while the horizontally distributed twin cylinders are opposite when they are close to each other.

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“…There are mainly three numerical schemes to track the free surface of the flooding flow which are boundary element method, smoothed particle hydrodynamics (SPH) method, and volume of fluid (VOF) method [8]. Using the dynamic and kinematic conditions on free surface, the boundary element method usually employed a time stepping scheme to track the free surface based on nonviscosity assumption [20]. The SPH method offers a variety of advantages for fluid modelling, particularly for the splashing droplets problem [21,22].…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation on Interface Evolution and Impact of Flooding Flow

Kan

et al. 2015

Shock and Vibration

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A numerical model based on Navier-Stokes equation is developed to simulate the interface evolution of flooding flows. The twodimensional fluid domain is discretised by structured rectangular elements according to finite volume method (FVM). The interface between air and liquid is captured through compressive interface capturing scheme for arbitrary meshes (CICSAM) based on the idea of volume of fluid (VOF). semiimplicit method for pressure linked equations (SIMPLE) scheme is used for the pressure-velocity coupling. A second order upwind discretization scheme is applied for the momentum equations. Both laminar flow model and turbulent flow model have been studied and the results have been compared. Previous experiments and other numerical solutions are employed to verify the present results on a single flooding liquid body. Then the simulation is extended to two colliding flooding liquid bodies. The impacting force of the flooding flow on an obstacle has been also analyzed. The present results show a favourable agreement with those by previous simulations and experiments.

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Oblique water entry of a cone by a fully three-dimensional nonlinear method

Cited by 44 publications

References 30 publications

Similarity solution for oblique water entry of an expanding paraboloid

Similarity solution for oblique water entry of an expanding paraboloid

Free surface flow generated by submerged twin-cylinders in forward motion using a fully nonlinear method

Numerical Simulation on Interface Evolution and Impact of Flooding Flow

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