A fluid interface model by phase field approach applied to the diffusive solution of level-set equation

抄録

Level-set approach extended for its diffusive solution is investigated to make a relation to conservation law of fluid phenomena and phase field approach based on the free energy theory. Considering mathematical analysis of level-set approach and re-initialization procedure, a new mathematical model of fluid interface is introduced defined by a cumulated layer of multiple contour elements. A generalized formulation of the extended level-set equation is derived by using phase field approach with a potential function model newly proposed for non-equilibrium solution of the local contour elements.