一种多层三维几何结构的网格拆分方法

A Mesh Method in 3D for a Multi-layers Geometry

为了采用偏微分方程求解流体的多层复杂几何结构的渗透性质,本文提出了一种多层三维复杂几何结构的网格拆分方法,尤其对多层结构中的核心——1个由6个四边形和8个六边形围成的十四面体(即物理学上经典的Tetrakaidecahedron体)的空间拓扑几何结构进行了详细的分析．在完成单元体向整体结构拼接的过程中,采用一种将单元体视为内外两层的思路,既有效地存贮了网格点的信息,又大大减少计算量．并讨论了影响十四面体几何性质的参数对所生成的网格性质的影响．

The research of flow＇s penetration through complex geometry especially in three-dimension is always one of the important and difficult problems in partial differential equation （PDE）. A method on the grid discretization of a several layers geometry was given. Particularly the detailed analysis of the topological geometry attribute on a fourteen surfaces structure-tetrakaidecahedron was fulfilled. In the process of putting the single elements together into a unity, we have used another technique that we treated one element as two inand out-parts, so that we could save the information of the grids efficiently, as well as get the simplification of the computation. At last, the discussion on the effects of tetrakaidecahedron was accomplished. the variable parameters on the geometry speciality of