An iterative method for the creation of structured hexahedral meshes over complex orography

In this paper we propose a technique for measuring the quality of hexahedral Cartesian meshes used to model meso-scale atmospheric circulation in 3D. It is used to verify the progress of a novel method for satisfying the Delaunay criterion for structured hexahedral meshes over complex orography with high gradients and wide gradient variability. Based on a simile with potential energy, the iterative method of mesh smoothing is shown to improve mesh quality with logarithmic convergence. The method is evaluated in a practical application in a specific geographic location.