Inserting a Curve into an Existing Two Dimensional Unstructured Mesh

In this work, a new method for inserting a curve as an internal boundary into an existing mesh is developed. The curve insertion is done with minimal adjustment to the original topology while maintaining the original sizing of the mesh. The curve is discretized by initially placing vertices, defining a length scale at every location on the curve based on the local underlying mesh, and equidistributing length scale along the curve between vertices. This results in the final discretization being spaced in a way that is consistent with the initial mesh. The new points are then inserted into the mesh and local refinement is performed, resulting in a final mesh containing a representation of the curve while preserving mesh quality. The advantage of this algorithm over generating a new mesh from scratch is in allowing for the majority of existing simulation data to be preserved, and not have to be interpolated onto the new mesh.