摘要
通过提出一种针对三维四面体网格的区域整形技术，给出了一种简便实用的四面体网格局部自适应加密方法，并将其与流量修正有限元法结合。
A local refinement method of three dimensional tetrahedron elements is presented in this paper. It is the extension of Lo ¨hner's mesh enrichment method for two dimensional triangular grid. Three steps are included in the whole process. First, a certain number of elements which need enrichment is defined according to the remeshing parameters. Those elements are called initial enrichment elements, which will be subdivided into eight small tetrahedra by introducing the midpoints of each side as new vertex. Second step involves modifying the region, which is the cream of this paper. The interpolation is the final step to determine the values of physical variables on new vertex points. The transition elements between the enrichment and the unrefined ones usually have hanging nodes and need to be treated specially. To make the situation simple, it is necessary to modify the refinement region. The modifying process is based on the faces of each tetrahedron here. Only one and three new points on each face are permitted. If there are two new points, a third point will be added. This rule divided the whole tetrahedra into five classes, which can be refined easily. More important, the adjacent elements are harmonious automatically. Combined with flux corrected transport finite element method(FEM FCT), the flowfield of three dimensional high speed flow was simulated successfully.
出处
《力学学报》
EI
CSCD
北大核心
1998年第4期461-467,共7页
Chinese Journal of Theoretical and Applied Mechanics
