A New Type of Size Function Respecting Premeshed Entities

This paper describes the creation of a new type of size function – the mesh size function that honors the existing mesh on premeshed geometry entities and radiates the mesh sizes from the premeshed source entities to the attached entities – from the technology of using background overlay grids. The creation of faceted meshes from premeshed source entities (i.e. edges or faces) is presented in a more general way, which allows the use of existing procedure of size function implementations. The introduction of the mesh size function has greatly enhanced the capabilities of the three types of size functions that were already available (including a fixed size function, a curvature size function and a proximity size function) and provided nice solutions to the situations where the old size functions did not work desirably. Meshing results of the new size function with controlled mesh sizes are given.