论文标题
超导迪纳摩基准问题的快速解决方案
Fast solution of the superconducting dynamo benchmark problem
论文作者
论文摘要
高温超导发电机的模型是一种有希望的通量泵，能够将大型直流电流无线注入到超导电路中，最近已被选为应用的超导性基准问题，并使用十种不同的数值方法解决了（Ainslie et al 2020Supercond。Sci.sci。科学。3333331055009）。使用Chebyshev多项式中的扩展，以在空间中进行近似，并在时间上积分的线方法，我们得出了一种简单准确的数值方法，该方法更快。所提出的数值方法也应用于传输电流和磁场临界电流密度的问题。
A model of high temperature superconducting dynamo, a promising type of flux pumps capable of wireless injection of a large DC current into a superconducting circuit, has recently been chosen as an applied superconductivity benchmark problem and solved using ten different numerical methods (Ainslie et al 2020 Supercond. Sci. Technol. 33 105009). Using expansions in Chebyshev polynomials for approximation in space and the method of lines for integration in time we derive a simple and accurate numerical method which is much faster. The proposed numerical method was applied also to problems with transport current and a field-dependent sheet critical current density.
