有限体积法在滑动电接触问题中的应用

Application of finite volume method in analyzing sliding electrical contact problem

为了对滑动电接触问题中枢轨接触面的物理现象进行深入分析,建立了二维导轨式电磁发射装置的数值计算模型。采用有限体积法的全隐格式对电磁扩散方程进行离散,得到了考虑速度趋肤效应时的磁感应强度及电流密度分布云图,并将计算结果与现有文献中采用有限差分法得到的结果进行对比。结果表明:两种方法所得到的磁感应强度与电流密度的分布趋势及数值基本一致,验证了所编写的有限体积法程序的正确性。

For an in-depth analysis of the physical phenomena of the armature/rail(AR) interface of the sliding electrical contact, a numerical calculation model of the two-dimensional electromagnetic rail launcher is established. Electromagnetic diffusion equations are discretized using the fully implicit scheme of finite volume method(FVM). The distribution of magnetic induction intensity and current density is obtained when considering velocity skin effect(VSE). The calculation results are compared with the results obtained by finite difference method(FDM) in the existing literature. Results show that: the distribution trend and numerical value of magnetic induction intensity and current density by these two methods are basically consistent, thus the correctness of computational program of FVM is verified. The work also provides an effective technical approach for subsequent analysis by FVM of the magneto-hydrodynamic(MHD) characteristics of the liquid metal layer on the AR interface.