arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 0811.2883cond-mat.supr-concond-mat.mtrl-sci
收藏

高温超导体磁化强度的数值模拟:单时间步迭代三维有限元法

Numerical simulation of the magnetization of high-temperature superconductors: 3D finite element method using a single time-step iteration

Gregory P. Lousberg, Marcel Ausloos, Christophe Geuzaine, Patrick Dular, Philippe Vanderbemden, Benoit Vanderheyden

摘要:

我们取得进展的三维有限元模型的磁化的高温超导体(HTS):我们建议的方法,考虑到退磁效应和磁通蠕变,而忽略了与电流不垂直的局部磁感应强度的影响。我们考虑的样品受到一个均匀的磁场随时间线性变化。它们的磁化强度是通过一个弱的制定在静磁近似的麦克斯韦方程组(A-phi制定)。隐式方法用于时间分辨率(向后欧拉方案),并在开源求解器GetDP中求解。采用Picard迭代法处理高温超导体的幂律电导率。通过与其他成熟的方法得到的结果进行比较,验证了具有大钉扎强度的高温超导管的有限元公式。我们表明,进行计算与一个单一的时间步长(而不是许多小的时间步长)产生的结果具有出色的精度,大大减少了模拟时间。数值方法被扩展到研究的圆柱体的被困磁化的圆柱体上钻有不同的阵列排列的圆柱孔平行于圆柱轴。

英文摘要:

We make progress towards a 3D finite-element model for the magnetization of a high temperature superconductor (HTS): We suggest a method that takes into account demagnetisation effects and flux creep, while it neglects the effects associated with currents that are not perpendicular to the local magnetic induction. We consider samples that are subjected to a uniform magnetic field varying linearly with time. Their magnetization is calculated by means of a weak formulation in the magnetostatic approximation of the Maxwell equations (A-phi formulation). An implicit method is used for the temporal resolution (Backward Euler scheme) and is solved in the open source solver GetDP. Picard iterations are used to deal with the power law conductivity of HTS. The finite element formulation is validated for an HTS tube with large pinning strength through the comparison with results obtained with other well-established methods. We show that carrying the calculations with a single time-step (as opposed to many small time-steps) produce results with excellent accuracy in a drastically reduced simulation time. The numerical method is extended to the study of the trapped magnetization of cylinders that are drilled with different arrays of columnar holes arranged parallel to the cylinder axis.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑