面向电磁装置虚拟设计的多物理场耦合异型网格映射研究

项目名称： 面向电磁装置虚拟设计的多物理场耦合异型网格映射研究

项目编号： No.51207081

项目类型： 青年科学基金项目

立项/批准年度： 2013

项目学科： 电气科学与工程学科

项目作者： 张宇娇

作者单位： 三峡大学

项目金额： 25万元

中文摘要： 基于弱耦合法求解的多物理场分析中，不同物理场模型的网格离散，若使用不同类型单元则会导致计算数据无法准确映射。现有研究主要为平均载荷加载或使用完全一致的单元，从而影响数据映射的准确性及引起海量计算的问题，其中尤其是在时域瞬态多物理场耦合问题的实时求解中影响更为显著。针对提高电磁装置虚拟设计水平的迫切需求，本项目从多物理场耦合分析的异型网格映射入手，以不匹配网格边界节点数据传递研究成果为基础，围绕矢量数据方向映射和并行求解含高阶单元的映射问题展开研究，主要研究内容有：1）对流占优型对流扩散方程的有限元数值计算中Newton-Raphson方法解决迭代收敛性；2）异型网格映射中标量及矢量数据的传递；3）多物理场耦合计算的并行求解。其成果不仅有助于丰富和发展不匹配网格数据传递方法，为进一步研究不匹配网格数据传递的应用奠定基础，并可有效解决多物理场耦合分析中异型网格映射问题，为其他行业虚拟设计的多物

中文关键词： 电磁装置；虚拟设计；弱耦合；异型网格映射法；并行计算

英文摘要： In multi-physics finite element analysis which is done by the weak coupling method, the calculation data cannot be accurately mapped because the model in different fields is dispersed using different meshes. The method of average load or the same finite element model primarily is used in recent research. Thus, it will affect the accuracy of data mapping in and cause massive computational problems，especially for the real-time solution of transient coupled multi-physics analysis in time domain. To improve the level of virtual design for electromagnetic devices, in this project, on the basis of the data transfer between non-matching meshes, nonconforming meshes mapping in coupled multi-physics analysis will be researched, including direction mapping of vector data and parallel computing of the mapping between meshes that contain higher order elements. The main contents include as follows: (1) In finite element numerical calculation for convection- dominated diffusion equation, the iterative convergence is overcome by Newton-Raphson method; (2)The scalar and vector data is mapped between different meshes; (3) Parallel computing in coupled multi-physics calculation is achieved. The research achievements of this project are beneficial to the development and application of data transfer method between non-matching mesh

英文关键词： electromagnetic devices；virtual design；weak coupling；non-matching meshes mapping method；parallel computing