Three-dimensional cylindrical coordinate conformal grid generating technology for particle-in-cell simulation of high-power microwave device
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摘要: 基于面向对象的C++语言研制三维柱坐标共形网格生成程序，对束-场互作用器件作共形网格剖分，为粒子模拟算法提供积分线元、面元。通过定义三维柱坐标网格体系如网格步长、网格索引、守护网格层、包围盒等数据，使模型的空间信息能转换成柱坐标网格信息。将轴上网格单元作特殊处理，使粒子模拟算法形式在轴上网格和在非轴上网格上保持一致。利用射线跟踪法得到属于模型子面、模型棱边的离散边界点，接着通过拓扑关系获得模型的顶点，保存上述三类离散边界点的拓扑信息和网格信息。将构建的基础网格元与边界点信息耦合，在离散网格体系中重构模型。用该共形网格剖分技术对相对论磁控管进行剖分，能够识别该磁控管的透明阴极、阳极和谐振腔等结构。Abstract: Based on the object-oriented C++ language, a 3D cylindrical coordinate conformal grid generation program is developed. The conformal grid generation of beam-field interaction(BFI) device discretizing is performed, providing integral line and face elements for Particle-in-Cell simulation algorithm. By defining the basic elements of the three-dimensional cylindrical coordinate grid system, including grid step-size, grid index, guardian grid layer and bounding box, the spatial information of the model can be converted into the information of the cylindrical coordinate grid information necessary for numerical calculation. The grid cells on-axis should be specially treated so as to maintain the consistency of the particle-in-cell algorithm between the axial grid and the non-axial grid. The discrete boundary points on the model subsurface and on the model edge were attained by ray-tracing algorithm. Meanwhile, the vertices of the model were obtained by topological relations. Topological information and cylindrical coordinate grid information of the two types of boundary points and model vertices were recorded, then the basic grid elements were coupled with the boundary point information, finally the model was reconstructed in the discrete grid system. Taking the relativistic magnetron for example, using the conformal grid generation technique proposed in the paper to discretize the model, the transparent cathode, anode, and resonant cavity structures of the magnetron can be identified.
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图 7 两个实体重合面上的重合边界点
Figure 7. Coincident boundary points on two real weight coincident planes
图 8 共形网格边grid edge data的示意图
Figure 8. Schematic diagram of grid edge data forconformal grid edges
图 10 相对论磁控管模型r-z方向的共形网格剖面图
Figure 10. Conformal grid profile of relativistic magnetron in r-z cross section
图 12 相对论磁控管r-φ截面网格剖分剖面图
Figure 12. Grid profile of relativistic magnetron in r-φ cross section
图 11 Magic程序剖分相对论磁控管模型r-z方向剖面图
Figure 11. Grid profile of relativistic magnetron in r-z cross section by Magic
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