论文标题
对具有横向磁场的流量的有效二维模型的数值模拟
Numerical simulations of an effective two-dimensional model for flows with a transverse magnetic field
论文作者
论文摘要
本文介绍了Pothérat在Al上开发的2D模型的模拟（\ emph {J。FluidMech}，2000），对两个平面之间的MHD流量具有强大的横向均匀且稳定的磁场，这占Hartmann层中中等惯性的效果。我们首先通过分析表明，在运动方程式中的其他项是惯性的方程式，如何软化水平平面中的速度梯度，然后我们在代码上实现该模型以进行数值模拟，以将其与可用的实验结果进行比较。该比较表明，只要Hartmann层保持层流，新模型就可以给出非常准确的结果。实验速度曲线和全局角动量测量都均可仔细回收，并且局部和全球Ekman再循环都被证明会显着改变流量以及全局耗散的方面。
This paper presents simulations of the 2d model developed by Pothérat at al (\emph{J. Fluid Mech}, 2000) for MHD flows between two planes with a strong transverse homogeneous and steady magnetic field, accounting for moderate inertial effects in Hartmann layers. We first show analytically how the additional terms in the equations of motion accounting for inertia, soften velocity gradients in the horizontal plane, and then we implement the model on a code to carry out numerical simulations to be compared with available experimental results. This comparison shows that the new model can give very accurate results as long as the Hartmann layer remains laminar. Both experimental velocity profiles and global angular momentum measurements are closely recovered, and local and global Ekman recirculations are shown to alter significantly the aspect of the flow as well as the global dissipation.
