Template mapping method for plane quadrilateral mesh generation with controllable density transitions

Abstract

AbstractIn this article, we integrate the template method and the mapping method to propose a new approach for generating quadrilateral meshes with controllable density transitions for planar geometric models. This method first recursively generates pseudo‐midlines of the geometric model and uses them to divide the geometric model into large quadrilateral regions. Then, based on a nonuniform rational B‐spline surface, we design several mesh generation templates and further map these templates to large quadrilaterals to achieve controllable density transitions. Finally, the method includes a mesh smoothing method to improve mesh quality. This approach can quickly generate high‐quality quadrilateral meshes with controllable density transitions. The effectiveness of the technique is demonstrated by several test cases within the framework of the open‐source Gmsh code.