关键词: 六面体网格, 网格生成, 内在特征, 能量约束, 网格投影

Abstract:

In order to effectively project the source surface mesh onto the target surface during the generation of a hexahedral mesh,a new algorithm of surface mesh projection is proposed based on intrinsic characteristics and energy constraints. In this algorithm,first,the source surface mesh and the target base mesh are projected onto a planar area via a mesh parameterization process. Then,the source mesh in the planar area is further mapped onto
the target base mesh based on the intrinsic characteristics and energy constraints of the mesh. Finally,the target mesh is obtained by the projection of the plane source mesh onto the target surface. Applied examples demonstrate that the proposed algorithm is of high stability and reliability,achieves the mesh projection between multiple surfaces without the self-intersection of target mesh,and is suitable for the generation of hexahedral meshes.

Key words: hexahedral mesh, mesh generation, intrinsic characteristic, energy constraint, mesh projection