ALE Mesh Updating using Mesh Optimisation

Accurate numerical simulation of problems in fluid mechanics requires using a method whereby the mesh can track free surfaces or fluid-solid or fluidfluid interfaces whilst coping with large distortions of the continuum. Such methods are referred to as Arbitrary Lagrangian Eulerian (ALE) methods and may be furthered studied in [1]. In order for the mesh to adapt to the deforming domain, a mesh update procedure must be performed at each time step of a calculation. In this paper we focus on a mesh update technique which aims to maintain or even improve the quality of a deforming mesh whilst accurately tracking the domain boundary. We focus on a problem from microfluid dynamics in order to illustrate our proposed method.