论文标题
用薄的hartmann层的磁性水流动力流动的有效边界条件
Effective boundary conditions for magnetohydrodynamic flows with thin Hartmann layers
论文作者
论文摘要
在这里，我们建立了一些有效的边界条件，以在数值计算中使用，以避免在涉及局部平面壁附近的Hartmann层的问题中所需的薄网格。为切向电流密度和速度提供了壁模型。特别是，得出了切向速度的正常衍生物的条件。唯一的限制是，磁性雷诺数必须在哈特曼层的规模上很大，因此涵盖了各种各样的问题。检查了完美传导或绝缘壁的情况，以及薄导电壁的情况。最新的结果是对Hartmann层中惯性效应的正常速度的条件。
Here we build some effective boundary conditions to be used in numerical calculations in order to avoid the thin meshing usually required in problems involving Hartmann layers near a locally plane wall. Wall model are provided for both tangential and normal electric current density and velocity. In particular, a condition on the normal derivative of the tangential velocity is derived. A wide variety of problems is covered as the only restriction is that the magnetic Reynolds number has to be large at the scale of the Hartmann layer. The cases of perfectly conducting or insulating wall are examined, as well as the case of a thin conducting wall. The newest result is a condition on the normal velocity accounting for inertial effects in the Hartmann layer.
