Publications

We present a novel method for performing anisotropic mesh adaptation on high-order curved meshes. High-order simulations require meshes with faces that are curved to represent the geometry. Traditionally, curved meshes are made linear and then adapted and re-curved at the end of the adaptation process. However, for complex geometries the mesh curving procedure can fail or be computationally expensive. The mesh adaptation procedure presented here utilizes existing edge primitive operations for mesh adaptation methods and extends them to high-order meshes. Our method keeps the mesh valid and curved during the entire adaptation process leading to a more robust mesh adaptation. Results for four test cases demonstrate the ability of this method to produce valid curved meshes with a variety of different aspect ratio. The output error convergence for these cases is comparable to a global re-meshing strategy. This work is a step forward for automated, robust, and accurate high-order computational fluid dynamics simulations.