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基于形式代数和映射理论,针对二维/三维内外流场和流固交界面处的网格剖分问题,提出虚拟结构化映射的网格生成新方法。在虚拟规则多边形上建立虚拟网格,利用函数建立对应的映射关系,把虚拟网格映射到真实的流固边界网格上。在网格更新办法中,引入了位移映射关系,设定了流固交界面随机位移场,原流固交界面的拓扑关系和数据交换格式保持不变。分别以二维和三维管道的内部流体计算域、二维和三维建筑物体的外部流体计算域为算例,验证提出的网格生成和更新方法。统计分析表明,运用该方法可得到流体域较高质量的初始网格系统,经更新后的流体域网格质量良好,且不发生畸变。
Based on formal algebra and mapping theory, a new mesh generation method of virtual structured mapping is proposed to solve the meshing problem at two-dimensional / three-dimensional flow field and fluid-solid interface. The virtual grids are established on the virtual regular polygons, the corresponding mapping relations are established by using the functions, and the virtual grids are mapped onto the real fluid-solid boundary grids. In the grid updating method, a displacement mapping relationship is introduced, a random displacement field of the fluid-solid interface is set, and the topological relationship and data exchange format of the original fluid-solid interface remain unchanged. The computational domain of internal fluid in two-dimensional and three-dimensional pipes and the calculation domain of external fluid in two-dimensional and three-dimensional buildings are taken as an example to validate the proposed method of grid generation and updating. The statistical analysis shows that this method can obtain the initial grid system of higher quality in the fluid domain, and the updated grid of the fluid domain is of good quality without distortion.