A novel highly efficient Lagrangian model for massively multidomain simulation applied to microstructural evolutions

Abstract

In this paper, a new method for the simulation of evolving multi-domains problems will be presented. The method is inspired by the front-tracking approaches where only the interfaces between domains are discretized. The presented method maintains the discretization of the interior of the domains using an evolving triangular mesh (valid for a Finite Element (FE) study) and treats the topological events such as the disappearance of domains or the creation of interfaces by means of selective local remeshing operations. Geometric properties are only computed on the interfaces using local spline reconstructions and interfaces are moved using a Lagrangian approach ensuring at all times the validity of the mesh. Accuracy and computational cost of this method will be evaluated in the context of microstructural evolutions, specifically for grain growth mechanism (GG) and it will be compared to a more classical front capturing approach based on a Level-Set (LS) description of grain interfaces which have been proved to be a powerful method for this kind of simulations.