1996
DOI: 10.1016/0045-7930(96)00007-2
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Nonlinear interaction between gas bubble and free surface

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Cited by 203 publications
(137 citation statements)
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References 14 publications
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“…A similar domain-cut procedure was used by Zhang et al [9], whose model also allows a shear layer to be generated along the cut surface during the impact. Recently, Wang et al [6], utilizing a concept due to Lundgren and Mansour [10], proposed that the flow circulation generated during jet impact be modelled by a vortex ring placed inside the tube of the toroidal bubble. This ingenious device removes the discontinuity of the velocity potential due to non-zero flow circulation, and hence also the need for an explicit domain cut.…”
Section: Introductionmentioning
confidence: 99%
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“…A similar domain-cut procedure was used by Zhang et al [9], whose model also allows a shear layer to be generated along the cut surface during the impact. Recently, Wang et al [6], utilizing a concept due to Lundgren and Mansour [10], proposed that the flow circulation generated during jet impact be modelled by a vortex ring placed inside the tube of the toroidal bubble. This ingenious device removes the discontinuity of the velocity potential due to non-zero flow circulation, and hence also the need for an explicit domain cut.…”
Section: Introductionmentioning
confidence: 99%
“…The smoothing procedure, which removes the noise generated by the instabilities, allows a reasonable time step to be used to carry forward the computation. The vortex ring method introduced by Wang et al [6] to represent flow circulation for axisymmetric toroidal bubbles is extended to 3D bubbles here. In this approach, the potential of the flow is decomposed into a vortex-induced part and a remainder that is continuous throughout the fluid domain.…”
Section: Introductionmentioning
confidence: 99%
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“…The BIM based on the potential flow theory is grid-free in the flow domain and has been widely used in bubble boundary interactions for axisymmetric cases [20][21][22][23][24][25][26][27][28][29] and for three-dimensional configurations [30 -33]. Recently, Wang et al [34 -37] developed the BIM for bubble dynamics in a compressible liquid.…”
Section: Computational Bubble Dynamicsmentioning
confidence: 99%
“…[4][5][6][7] Between these two extremes, the translational dynamics of bubbles oscillating near compliant interfaces are much more nuanced and depend on a number of factors. 8,9 With the current expanding interest in using microbubbles to induce therapeutic bioeffects in tissue there has also been interest in the deformation of, and stresses induced within, adjacent tissue due to the bubble motion.…”
Section: Introductionmentioning
confidence: 99%