Abstract
We investigate the influence of numerical diffusion for the Ghost Fluid Method (GFM) in which the interface is captured with the level set method. The shock-bubble interactions are simulated using several numerical schemes for the reinitialization procedure of the level set function. It is shown that the interface is not captured accurately using the GFM without the reinitialization of the level set function. The numerical diffusion in the reinitialization procedure affects the formation of a re-entrant jet and vortex structures after a shock wave impacts the bubble; higher order scheme is needed to discretize the convection terms in the reinitialization equation. It is also shown that the accurate interface capturing is realized by using the hybrid particle level set method. The results with the hybrid particle level set method agree well with the experiments by Hass & Sturtevant.
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