Investigation of hydrodynamics of water impact and tail slamming of high-speed water entry with a novel immersed boundary method

Liu, Wen-Tao; Zhang, A-Man; Miao, Xuhong; Ming, Fu-Ren; Liu, Yunlong

doi:10.1017/jfm.2023.120

Cited by 65 publications

(14 citation statements)

References 110 publications

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“…2015; Li, Zhang & Liu 2021; Liu et al. 2023). However, in practical cases, other boundaries, such as the seacoast or structures, often exist in the neighbourhood of the bubble below the free surface.…”

Section: Introductionmentioning

confidence: 99%

“…When the buoyancy effect is weak, the generation of a downward liquid jet is the most essential feature of the bubble (Chahine 1977;Blake 1981;Tomita, Kodama & Shima 1991;Li et al 2019b;Saade et al 2021;Zhang et al 2023a). As the buoyancy increases, the influence of the free surface on the downward bubble migration is counteracted to varying degrees, resulting in vertically neutral collapses or upward liquid jets Wang et al 1996a,b;Liu et al 2023). However, in practical cases, other boundaries, such as the seacoast or structures, often exist in the neighbourhood of the bubble below the free surface.…”

Section: Introductionmentioning

confidence: 99%

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Vertically neutral collapse of a pulsating bubble at the corner of a free surface and a rigid wall

Zhang

Cui

et al. 2023

J. Fluid Mech.

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Vertically neutral collapse of a pulsating bubble occurs when the boundaries above or below the bubble balance the buoyancy effect over a pulsation. In this study, the vertically neutral collapse of a bubble near a vertical rigid wall below the free surface is investigated. The boundary integral method (BIM) is employed to model the bubble dynamics with an open-domain free surface. Moreover, this method is validated against several buoyant bubble experiments. Bubble dynamics in such conditions are associated with three dimensionless parameters: the bubble-free surface distance $\gamma _{{f}}$ , bubble–wall distance $\gamma _{{w}}$ and buoyancy parameter $\delta$ . We derive the Kelvin impulse of a spherical bubble and the algebraic relationship for vertically neutral collapse, which proves to be accurate for predicting vertically neutral collapse when the bubble is relatively far from the boundaries. Four patterns of the vertically neutral collapse of the bubble for different $\gamma _{{w}}$ and $\gamma _{{f}}$ are identified: (i) formally downward jet; (ii) annular collapse; (iii) horizontal jet; and (iv) weak jet. Despite the downward jet shape, the ‘formally downward jet’ is in the vertically neutral collapse state in terms of the profile of toroidal bubbles and the orientation of local high-pressure zones around the bubble at jet impact. A bulge with a high curvature above the bubble in the ‘annular collapse’ pattern is formed during bubble collapse under two local high-pressure zones at the left and right extremities of the bubble. The ‘horizontal jet’ pattern has the greatest potential to attack the wall, and the power laws of the moment of the jet impact, jet velocity and bubble displacement with respect to the theoretical Kelvin impulse are discussed. In particular, we quantitatively illustrate the role of the free surface on bubble migration towards the wall through the variational power-law exponents of the bubble displacement with respect to $\gamma _{{w}}$ .

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vertically neutral collapse of a pulsating bubble at the corner of a free surface and a rigid wall

Zhang

Cui

et al. 2023

J. Fluid Mech.

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“…There are several ways of dropping a number of terms in the equations of fluid dynamics so that they no longer describe the propagation of high-speed waves. To eliminate sound and shock waves, it is sufficient to assume the incompressibility of a liquid or gas and to assume that the hydrodynamic pressure is equal to the hydrostatic pressure [12][13][14]. In almost all hydrodynamic models using "primitive" variables (velocity and pressure), it is assumed that the moving gas or liquid flow is incompressible, the vertical dimensions of the computational domain are small compared to the horizontal ones, and the hydrodynamic pressure is always exactly equal to the hydrostatic pressure [2,15,16].…”

Section: -Introductionmentioning

confidence: 99%

A New Approach to the Use of Non-Primitive Variables in the Mechanics of Continuous Media

Savitsky,

Radkevich,

Salokhiddinov

et al. 2024

Emerg Sci J

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The problem of an approximate solution to hydrodynamic problems is the consideration of pressure. To exclude it from the equations, the transition to “non-primitive variables” (vortex and velocity vector divergence) is made. In this case, there are difficulties in the algorithmization of new equations for solving the inverse problem of hydrodynamics and a lot of internal iterative calculations. The object of this study includes equations in “non-primitive” variables. The research methods are based on the transformation without simplifications and assumptions of hydrodynamic equations into a form containing “non-primitive” variables and the demonstration of the possibilities of solving the equations. The GAMS programming language was used for approximate solutions for the first time. The aim of this paper is to demonstrate the possibility of solving the full equations in “non-primitive” variables for various conditions. The results showed the possibility of considering the compressibility of the medium when solving the inverse problem of hydrodynamics; the identity of solutions of the proposed system of equations and equations using the potential; and the possibility of using optimizing programming languages for hydrodynamics problems. The scientific novelty of this research consists of solving the full equations of hydrodynamics with the use of “non-primitive” variables but without the use of the current function. Doi: 10.28991/ESJ-2024-08-02-021 Full Text: PDF

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“…Bubble dynamics find extensive application in scientific and engineering fields, encompassing marine science and engineering [1][2][3], advanced manufacturing [4][5][6][7], environmental and chemical engineering [8][9][10], medicine [11][12][13][14], and life sciences [15][16][17]. For instance, large-scale underwater explosion bubbles [18][19][20][21] can generate massive spike/tsunamis, high-pressure air gun bubbles [22][23][24] are effective pressure pulse sources in deep sea exploration, cavitation bubbles are key factors in water exit/entry of objects [25][26][27], *Corresponding author (email: zhangaman@hrbeu.edu.cn) and controllable small-scale bubbles [28][29][30] can be important carriers in life science fields. Therefore, bubble dynamics is an essential scientific problem in many fields.…”

Section: Introductionmentioning

confidence: 99%

Theoretical study on bubble dynamics under hybrid-boundary and multi-bubble conditions using the unified equation

Zhang,

Li,

Cui

et al. 2023

Sci. China Phys. Mech. Astron.

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This paper aims to use the unified bubble dynamics equation to investigate bubble behavior in complex scenarios involving hybrid free surface/wall boundaries and interactions between multiple bubbles. The effect of singularity movement on the unified equation’s form is analyzed after deriving the bubble pulsation equation using a moving point source and a dipole, followed by discussions on the effect of migration compressibility-related terms on the bubble dynamics. In addition, the present study accounts for the impact of hybrid boundaries, including crossed and parallel boundaries, by introducing a finite number of mirror bubbles for the former and an infinite number of mirror bubbles for the latter. Spark bubble experiments and numerical simulation are conducted to validate the present theory. The application of the unified equation in multi-bubble interactions is exemplified by computing a spherical bubble array containing more than 100 uniformly distributed cavitation bubbles under different boundary conditions. The bubble cluster-induced pressure peak can reach nearly two times or even higher than that of an individual bubble, highlighting the damage potential caused by cavitation bubble clusters.

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Investigation of hydrodynamics of water impact and tail slamming of high-speed water entry with a novel immersed boundary method

Cited by 65 publications

References 110 publications

Vertically neutral collapse of a pulsating bubble at the corner of a free surface and a rigid wall

Vertically neutral collapse of a pulsating bubble at the corner of a free surface and a rigid wall

A New Approach to the Use of Non-Primitive Variables in the Mechanics of Continuous Media

Theoretical study on bubble dynamics under hybrid-boundary and multi-bubble conditions using the unified equation

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