A non-local formulation for level-set modelling
DOI:
https://doi.org/10.13052/17797179.2012.740588Keywords:
level-set, iso-geometryAbstract
The level-set method, as introduced by Osher et al. (Osher, S., & Sethian, J., 1988. Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton–Jacobi formulations. Journal of Computational Physics, 79, 12–49.) presents some flaws with respect to algorithmic simplicity and solution admissibility. In this paper, we present a robust approach for the level-set modelling by taking advantage of readily available work from phase-field framework. By adapting the latter with proper velocity correction, we have obtained a non-local formulation of the level-set problem that overrides the aforementioned problems. An application of this approach, both in explicit finite differences and implicit iso-geometric analysis, illustrates the efficiency of this new formulation.
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