New Strategy for Unstructured Mesh Generation

Abstract

A novel strategy, which includes the statements of the no-cavity and nonoverlapping conditions and a mesh generation approach, is presented to create unstructured triangular and tetrahedral meshes. For this strategy, the no-cavity and nonoverlapping conditions provide the theoretical basis for the mesh-generation procedure. In this procedure, a structured background grid is utilized to determine the distribution of characteristic lengths. According to thisdistribution,nodes are generated e rst. Then,a characteristic-rangemethod and a hybridmethod are proposed for connecting these nodes. By the use of a mesh-removal process, the e nal mesh is obtained. To illustratetheprocedure, a two-dimensional domain with four-element airfoils is considered. For three-dimensional domains, a postprocessing is introduced to improve the mesh quality. To evaluate the strategy, two concentric cubes, a coaxial annual pipe, and two concentric spheres are considered. For the e ow region around the ONERA M6 wing, the hybrid method with postprocessing is utilized, and the mesh quality is compared to those previously attained. To demonstrate this strategy further, a mesh is generated for the e ow region around an airplane.