The Level-set (LS) method [1] is used to model dynamic interfaces in the context of largedeformations. This approach is used in simulations of microstructural evolutions [2–10] using a FiniteElement (FE) framework where the interfaces are implicitly defined and captured by a refined mesh.This process can be very costly in terms of CPU-time and the presence of vacuum regions is inevitable.A new approach to discretize the interfaces given by the LS fields, which enables to treat these voids andto maintain the same accuracy with a reduced CPU-time will be presented.Mots clés— Body-fitted, Moving Interfaces, Remeshing, Finite Element Method, Level-Set.