论文标题
使用数据驱动的材料建模的磁场仿真
Magnetic Field Simulation with Data-Driven Material Modeling
论文作者
论文摘要
本文开发了一个数据驱动的磁性有限元元素（Fe）求解器，该求解器直接利用测得的材料数据而不是从中构建的材料曲线。在执行麦克斯韦方程时，将场解和测量点之间的距离最小化。通过采用Lagrange乘数方法来解决最小化问题。该过程将FE方法包装在外部数据驱动的迭代中。该方法能够考虑各向异性材料，并适应具有精确材料知识和测量材料数据的组合的模型。因此，提出了三种与FE公式提出的侵入性越来越高的方法。四极磁力模型的数值结果表明，数据驱动的现场模拟是可行且负担得起的，并且克服了对材料定律进行建模的需求。
This paper developes a data-driven magnetostatic finite-element (FE) solver which directly exploits measured material data instead of a material curve constructed from it. The distances between the field solution and the measurement points are minimized while enforcing Maxwell's equations. The minimization problem is solved by employing the Lagrange multiplier approach. The procedure wraps the FE method within an outer data-driven iteration. The method is capable of considering anisotropic materials and is adapted to deal with models featuring a combination of exact material knowledge and measured material data. Thereto, three approaches with an increasing level of intrusivity according to the FE formulation are proposed. The numerical results for a quadrupole-magnet model show that data-driven field simulation is feasible and affordable and overcomes the need of modeling the material law.
