Triangular element refinement in automatic adaptive mesh generation

摘要

Given the nature of many magnetic field problems however, where very narrow material regions and curved boundaries exist, the angle condition is often difficult to satisfy using the standard centroid refinement approach. A new refinement strategy is proposed for use in an adaptive procedure. The method developed places new nodes in regions of high solution error such that the benefit of the Delaunay re-triangulation algorithm is fully realised. Results show that the improved mesh geometry obtained with this method compared with the conventional centroid approach produces a more efficient mesh, where less nodes are needed to obtain the same solution accuracy. New algorithms with the purpose of removing thin elements and obtaining a gradual transition in node density in the mesh after each refinement step are also described.