This report is a feasibility study of a level-set method for the computation of moving interfaces, in an Eulerian formulation. The report briefly introduces level-set methods and focuses on the development of such a method for moving material-void interfaces. Results are presented for illustrative model problems. As concerns its ability to improve the geometrical resolution of free boundaries, the level-set method appears to perform excellently. Concerning the improvement of other than merely geometrical free-boundary properties, the method performs very well for downstream-facing fronts and is promising for upstream-facing ones.

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Modelling, Analysis and Simulation [MAS]
Scientific Computing

Koren, B., & Venis, A. C. J. (1997). A level-set method for moving material-void interfaces. Modelling, Analysis and Simulation [MAS]. CWI.