A Trajectory Refinement Scheme for Arbitrary Triangularly Tessellated Boundaries

GlennICE relies on a Delaunay triangulation step to generate a two dimensional mesh of the point cloud of trajectory release locations in its adaptive refinement process. Previously GlennICE performed a 2.5D Delaunay triangulation to generate a two dimensional mesh from a point cloud in three-dimensional space. This process is not a general scheme and contains restrictions that prohibit GlennICE from being extended to tackle new challenges. This paper introduces a new method that does not rely on a 2.5D Delaunay triangulation, and instead performs a triangulation directly on the tessellated inlet surface. It accomplishes this by performing a triangulation on the local point cloud associated with each triangular face of the tessellated inlet surface. Each of these local triangulations are stitched together to form a single contiguous mesh. While the resulting mesh is not guaranteed to be a valid Delaunay triangulation, this formulation is significantly more general than its predecessor and enables the GlennICE code to be extended for a variety of different applications. This includes the ability to extend the software to handle reentraining splashed, bounced, or broken droplets and crystals.