Extension of Metric-Based Anisotropic Mesh Adaptation to Time-Dependent Problems Involving Moving Geometries

Abstract

This paper deals with anisotropic mesh adaptation applied to unsteady simulations, especially those involving moving geometries. Anisotropic metric-based mesh adaptation is an efficient strategy to reduce the extensive CPU time currently required by such simulations in the perspective of performing this kind of computations on a daily basis in an industrial context. In this work, we detail the extension of the multiscale anisotropic mesh adaptation, i.e., a control of the interpolation error in L norm, to unsteady flows thanks to an enhanced version of the fixed-point algorithm. The parallelization of the whole mesh adaptation plate-form is also discussed. The efficiency of the approach is emphasized on three-dimensional blast problems. The last part of this paper is concerned with the extension of this new algorithm to moving mesh problems. We explain how the mesh displacement is taken into account in the adaptation strategy. The method is illustrated on three-dimensional analytical examples and on a two dimensional blast computation.