Anisotropic delaunay mesh adaptation for unsteady simulations

Abstract

Anisotropic mesh adaptation is a key feature in many numerical simulations to capture the physical behavior of a complex phenomenon at a reasonable computational cost. It is a challenging problem, especially when dealing with time dependent and interface capturing or tracking problems. In this paper, we describe a local mesh adaptation method based on an extension of the Delaunay kernel for creating anisotropic mesh elements with respect to adequate metric tensors. In addition, we show that this approach can be successfully applied to deal with fluid-structure interaction problems where parts of the domain boundaries undergo large displacements. The accuracy and efficiency of the method is assessed on various numerical examples of complex three-dimensional simulations.