Spherical Centroidal Voronoi Tessellations Unstructured Meshes For Ocean Applications
In the past and increasingly so towards the present, the modeling of our oceans is of great import. In order to facilitate this simulation, we wish to discretize the sphere in an optimal manner. That is to say, we wish to place the most grid points where we have the most information to capture. Here, we wish to support both local refinement and global refinement. In order to do this, we use the theory of centroidal Voronoi tessellations on the sphere to give us a regular mesh, and then we add to it the ability to refine locally by managing the density of generators through a custom density map. We also take into account an approximation of the shoreline and we use this to force grid cells to conform to it.