A 3-D Hybrid Cell Method for Induction Heating Problems
A 3-D Hybrid Cell Method for Induction Heating Problems
复制标题
解决感应加热问题的 3-D 混合单元方法
DOI：
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发表时间：
2016
影响因子：
2.1
通讯作者：
L. Codecasa
中科院分区：
文献类型：
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作者：
F. Moro;L. Codecasa
提出了一种解决感应加热问题的新颖混合方法。通过单元法（CM）对电热问题进行离散化，并与边界元法耦合以避免空气区域网格划分。通过为CM引入一种新的拓扑框架，即增强对偶网格，来获得界面耦合。主要优点是用于计算时谐涡流的电磁混合公式会产生部分密集的不定线性系统，并通过快速 TFQMR 迭代方法进行求解。与电问题弱耦合的瞬态热问题可以在对流和辐射边界条件下通过 $\theta $ 方法求解。通过与轴对称测试案例上的三阶二维有限元法进行比较，该混合方法显示出非常准确。该方法的适用性随后扩展到计算资源有限的完整 3D 模型。
A novel hybrid approach for solving induction heating problems is presented. The electrothermal problem is discretized by the cell method (CM) and coupled to the boundary element method to avoid the air region meshing. The interface coupling is obtained by introducing a new topological framework for the CM, which is the augmented dual grid. The main advantage is that the electromagnetic hybrid formulation for computing time-harmonic eddy currents results in a partly dense indefinite linear system, which is solved by a fast TFQMR iterative method. The transient thermal problem, weakly coupled to the electrical one, is solved by the $\theta $ method under convection and radiation boundary conditions. The hybrid approach shows to be very accurate by comparison with third-order 2-D FEM on an axisymmetric test case. The applicability of the method then extends to full 3-D models with limited computing resources.