关键词: 疏密过渡, 网格模板, 网格生成, 映射法

Abstract: Mesh template based on strict mathematical model is integrated into the mesh generation process by using mapping, which method can achieve a mesh density transition within the designated area and also guarantee mesh quality. Mesh template design should maintain robust and ensure uniform mesh transition, to avoid mesh nodes local concentration and template degradation failure of current mesh templates in the application process. A novel mesh template design method is proposed. In this method, basic mesh modules with fixed mesh form and uniform density is used to construct triangle template, then combination of basic mesh modules and relevant parameter values are deduced based on the division number distribution of triangle sides to achieve a density transition in the triangle area in three directions of opposite triangle sides. Basic mesh modules are combined with triangle template to construct quadrangle template, mesh density transition formed by quadrangle template is strictly limited in the area of triangle template to avoid mesh node local concentration. Finally, meshes for several geometries are presented to illustrate the versatility and validity of mesh templates designed.

Key words: Density transition, Mapping method, Mesh generation, Mesh template