Stabilized Reduced-Order Model of a Non-Linear Eddy Current Problem by a Gappy-POD Approach
Stabilized Reduced-Order Model of a Non-Linear Eddy Current Problem by a Gappy-POD Approach
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基于 Gappy-POD 方法的非线性涡流问题的稳定降阶模型
DOI：
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发表时间：
2018
影响因子：
2.1
通讯作者：
R. Sabariego
中科院分区：
文献类型：
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作者：
MD. Rokibul Hasan;L. Montier;T. Henneron;R. Sabariego
本文将基于Gappy本征正交分解(POD)技术的稳定化降阶模型应用于具有非线性材料特性的涡流问题。以经典的基于磁矢势的磁动力学有限元列式为参考和起点，建立了简化模型。离散经验插值法-POD技术可以降低非线性问题的计算复杂度，但涡流效应可能会使该方法不稳定。在本文中，我们提出了一种类似于Gappy方法的方法，成功地克服了这种不稳定性问题，同时保持了较低的计算成本(时间和内存)。
In this paper, a stabilized reduced-order model based on the gappy proper orthogonal decomposition (POD) technique is applied to an eddy-current problem with the non-linear material property. A classical magnetodynamic finite element formulation based on the magnetic vector potential is used as reference and starting point to build up the reduced models. The computational complexity of the non-linear problem might be reduced by the discrete empirical interpolation method-POD technique, but the eddy current effects may make this method unstable. In this paper, we propose an approach which is similar to the gappy method to successfully overcome this instability problem, while keeping the computational cost (time and memory) low.