3D Impact and Toroidal Bubbles

By Y. L. Zhang, K. S. Yeo, Boo Cheong Khoo, C. Wang. 2001

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A hybrid particle level set method for improved interface capturing (2002, background): “In fact, even front tracking schemes need smoothing near the interface in order to obtain smooth geometrical quantities [ 48 ].”
Interactions of multiple spark-generated bubbles with phase differences (2009, methodology): “This procedure is necessitated by the bubble 1 taking on non-simply connected toroidal bubble configuration, which would imply the introduction of further complex numerical treatment to the BEM simulation code (see Wang 1998; Zhang et al. 2001 ).”
Spatially adaptive techniques for level set methods and incompressible flow (2006, methodology): “We refer the interested reader to [ 104 ] which uses a combination of a mesh reflnement technique and a least-squares based scheme to smooth deforming elements and to [40] which describes a simplifled front tracking algorithm and compares it to the level set method.”
Experimental and numerical investigation of the dynamics of an underwater explosion bubble near a resilient/rigid structure (2005, methodology): “Zhang et al. (2001) extended the surgical-cut and vortex ring technique to general three-dimensional toroidal bubble problems, looking specifically at the issues of the physical impact and its relation to the numerical stability of the BEM code.”