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 forma 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.