Webenables it to achieve high order in space more easily. These advantages increase the appeal of our algorithm for certain applications in computational fluid dynamics. Our scheme may be extended to handle topological changes and multiphase flows such as wetting problems as in [30,32], but that is outside the scope of this paper. WebMar 1, 2024 · The threshold dynamics algorithm of Merriman, Bence, and Osher is only first order accurate in the two-phase setting. Its accuracy degrades further to half order in the …
The physics of higher-order interactions in complex systems
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Mathematics Free Full-Text Stability and Threshold Dynamics in …
WebThe departure point is the threshold dynamics algorithm of Merriman, Bence, and Osher for the two-phase case. A new energetic interpretation of this algorithm allows us to extend it … WebWe present a simplified version of the threshold dynamics algorithm given in Esedo¯glu and Otto (Commun Pure Appl Math 68(5):808–864, 2015). The new version still allows specifying N 2 possibly distinct surface tensions and N 2 possibly distinct mobilities for a network with N phases, but achieves this level of generality without the use of ... hairetic