Analysis of breaking and re-closure of a bubble near a free surface based on the Eulerian finite element method

Tian, Zhao-Li; Liu, Yunlong; Zhang, A-Man; Wang, S.P.

doi:10.1016/j.compfluid.2018.04.028

Cited by 59 publications

(7 citation statements)

References 40 publications

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“…The Eulerian finite element method can effectively deal with the explosion and impact problems [26,31,32], where the viscosity and thermal conduction can be ignored [12]. In this method, the governing equation for fluid is the following equation, i.e.,…”

Section: The Eulerian Finite Element Methods For Fluid Solvermentioning

confidence: 99%

“…The VOF method is a commonly used and effective method in computational fluid dynamics [33,34,46,47]. Its transport equation is [32]…”

Section: The Eulerian Finite Element Methods For Fluid Solvermentioning

confidence: 99%

“…This method was first established by Benson. Then he gave the main framework of the Eulerian finite element method, and proposed a brand-new advection approach for the node-centered parameters like momentum [26][27][28][29]. Liu et al [30][31][32] applied it to the research of bubble dynamics, and obtained good numerical results. Besides, the volume of fluid method (VOF) is a mature interface capture method [22,[33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The Nonlinear Coupling of Oscillating Bubble and Floating Body with Circular Hole

Minghe¹,

Liu²,

Ren³

et al. 2021

Computer Modeling in Engineering &Amp; Sciences

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The fluid-structure interaction of the oscillating bubble and floating body with circular hole is essentially the nonlinear coupling problem among the incomplete movable boundary, free surface and bubble. This problem is particularly complicated in bubble dynamics. Combined with the volume of fluid method, the Eulerian finite element method is employed to deal with the fluid movement. Based on the improved penalty immersed boundary method, the transient axisymmetric numerical model is established in this paper, considering the fluid-structure interaction effect. The results of simulation are consistent with those of the electric discharge bubble experiment and explosion experiment. Subsequently, considering the influence of the hole size, floating body density, explosive location, and buoyancy, this complex fluid-structure interaction problem is analyzed systematically. Through numerical simulation, we get some new conclusions. When the radius of the hole R h less than the maximum radius of the oscillating bubble, the changes in the whole system are incredibly intense, and the free surface crushing will emerge. The energy of the bubble acts more on the radial direction of the floating body, when the explosive location parameter is small. When the floating body has the same density as the water, the multiple spike skirt is displayed vividly. And the buoyancy of fluid can produce a lifting effect on the floating body.

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Section: The Eulerian Finite Element Methods For Fluid Solvermentioning

confidence: 99%

“…The VOF method is a commonly used and effective method in computational fluid dynamics [33,34,46,47]. Its transport equation is [32]…”

Section: The Eulerian Finite Element Methods For Fluid Solvermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The Nonlinear Coupling of Oscillating Bubble and Floating Body with Circular Hole

Minghe¹,

Liu²,

Ren³

et al. 2021

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

show abstract

“…According to the non-dimensionalization theory of bubble dynamics (Zhang and Liu, 2015;Klaseboer et al, 2005a), the gravity is negligible as a result of the small buoyancy parameter δ 2 = Rmρg P∞ . In this case, the internal gas is modeled with the ideal gas equation (Tian et al, 2018)…”

Section: Model Validation and General Features Of Collapsing Bubble Near Solid Wallmentioning

confidence: 99%

“…Liu et al (2017) studied the bubble collapse based on the combination of front tracking method and FVM. Tian et al (2018) and Liu et al (2018b) numerically simulated the explosion from the shock wave phase to the bubble phase contiguously and analyzed the breaking and re-closure of a bubble with the Eulerian finiteelement method (EFEM). In , the EFEM is modified to resolve the dynamics of an oscillating bubble initially at a liquid-liquid interface.…”

Section: Introductionmentioning

confidence: 99%

Jet development and impact load of underwater explosion bubble on solid wall

Tian

Liu

Zhang

et al. 2020

Applied Ocean Research

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The damage effects of an underwater explosion have always been a crucial problem in the ship mechanics. Notably, the bubble evolution and the jet impact load are one of the most difficult parts in the shock-resistance design of ship structures due to the discontinuities and significant nonlinear deformation. In this paper, the Eulerian finite-element method is introduced to continuously simulate the shock wave and non-spherical bubble evolution stages, and to evaluate the explosion impact load on a nearby solid wall with the volume of fluid method and pressure balance technique used to solve the multi-phase flow. The numerical model is established in a cylindrical coordinate system and validated by comparing the results with a spark-generated bubble experiment. After that, based on the present model, the shock wave propagation and the bubble evolution are simulated to study the characteristics of the impact loads of an underwater explosion. Besides, the influences of the wall location (upside or downside) and the stand-off distance from the wall are also analyzed. The results show that the features of the jet impact load are much more complicated than those of the shock wave. Nearby a downside wall, the buoyancy and Bjerknes force compete to dominate the bubble motion with opposite influences.

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Experimental and Numerical Study on the Bubble Dynamics near Two-Connected Walls with An Obtuse Angle

Cui

Zhang

et al. 2020

China Ocean Eng

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Analysis of breaking and re-closure of a bubble near a free surface based on the Eulerian finite element method

Cited by 59 publications

References 40 publications

The Nonlinear Coupling of Oscillating Bubble and Floating Body with Circular Hole

The Nonlinear Coupling of Oscillating Bubble and Floating Body with Circular Hole

Jet development and impact load of underwater explosion bubble on solid wall

Experimental and Numerical Study on the Bubble Dynamics near Two-Connected Walls with An Obtuse Angle

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