Abstract

In this paper, we present a high fidelity conservative and adaptive level-set method for the simulation of two-fluid flows. A new level-set method is designed that associates both re-initialization and convection steps in an implicit manner. Thus the new obtained convection-reaction problem is solved using a stabilized finite element method. The accuracy, the time scheme and the mass conservation are thoroughly analyzed. Anisotropic meshing with conservative interpolation is implemented and tested on several benchmarks including splashes, sloshing and complex bubble dynamics.

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