三维电磁场有限元数据到有限差格式的转换算法

为实现电磁场作用下三维凝固传输过程高效率有限元/有限差(FEM/FDM)耦合数值计算,针对任意三维ANSYS有限元剖分网格与有限差网格间不规则空间几何对应关系,并基于有限元数值插值原理,提出了一种将三维有限元网格节点上的场量计算结果转换为有限差格式数据的算法.采用基于Visual Fortran6.6A平台的QuickWin模块及Fortran95语言编写了三维数据转换和后处理图形显示程序.经冷坩埚电磁定向凝固等工艺三维电磁场有限元计算结果的FEM→FDM数据转换及三维矢量/标量场结果显示,表明该算法及计算与显示程序是成功和有效的,可为后续基于有限差法的电磁凝固传输耦合计算提供可靠的电磁场数据和有效的图示分析手段.

An FEM FDM data conversion algorithm for three-dimensional electromagnetic fields

An algorithm for converting the three-dimensional(3D) electromagnetic(EM) data calculated on finite element(FEM) nodes into a finite difference(FDM) format was proposed in order to perform efficient FEM/FDM-coupled computations for solidification transport phenomena(STP) under various EM fields.The present method is available for arbitrary spatial relationships between the irregular FEM and FDM mesh patterns based on the interpolation principle of FEM.The corresponding programs for the data conversion and post-processing for 3D-displays were developed using Fortran-95 language and the QuickWin module on a Visual-Fortran-6.6A platform.The sample calculations and displays for the system of a cold-crucible EM directional solidification show that the proposed FEM-FDM data conversion algorithm is successful and effective.The present work will provide reliable EM field data and an efficacious 3D graphic analysis tool for the subsequent EM-STP-coupled computations with an FDM-based numerical method.