计算电磁学中非共形网格生成及应用

      Non-conformal mesh generation and applications in computational electromagnetics

      • 摘要: 网格生成技术是电磁模拟仿真中的一个重要环节。随着电磁模型复杂性的提升,一套可靠的网格生成技术尤为重要。传统电磁计算依赖共形网格,但其生成专业性强、较难掌握。目前,不连续伽辽金(discontinuous Galerkin, DG)方法已用于分析非共形网格,但非共形网格生成技术报道甚少。本文提出了一种非共形网格生成技术,采用非均匀有理B样条(Non-uniform rational B-spline, NURBS)曲面描述各构成面片,然后在参数平面剖分得到二维网格,再将平面网格映射到原模型表面得到最终网格,最后使用DG方法对生成的网格进行分析,并将结果与商业软件对比用于验证该方法的正确性。研究结果表明,使用本文方法生成的网格能够准确、可靠地分析目标电磁散射,并且生成过程简单,每个面片之间相互独立,并行化剖分实现容易。

         

        Abstract: Mesh generation technique is an important part of electromagnetic simulation. As the complexity of electromagnetic models increases, a set of reliable mesh generation techniques is particularly important. Conventional electromagnetic calculation techniques rely on the use of conformal meshes, which are challenging and highly professional to generate. Currently, the discontinuous Galerkin (DG) method has been used to analyze non-conformal meshes, but the non-conformal mesh generation techniques are rarely reported. In this paper, we propose a non-conformal mesh generation technique which uses non-uniform rational B-spline (NURBS) surfaces to represent the patches that make up the object. The 2D mesh are obtained by meshing in the parametric plane, and mapping the mesh to the surface of the original model to obtain the final mesh, the generated mesh are analyzed using the DG method, and comparison of the results with commercial software is used to verify the accuracy of the method. The results show that the mesh generated using this method can accurately and reliably analyze the target electromagnetic scattering. This method has a simple generation process, with each facet being independent of each other, and easy to mesh in parallel.

         

      /

      返回文章
      返回