论文标题
关于构建局部曲线坐标系，该坐标系统符合血浆聚焦鞘的天然曲线几何形状
On the construction of a local curvilinear coordinate system conforming to the native curved geometry of the plasma focus sheath
论文作者
论文摘要
本文详细描述了局部右手的正交曲线坐标系统的构建，其轴沿局部切线，局部方位角和分析定义的3D旋转表面的局部正常形式构建，其形状模拟了Plasma焦点电流的形状。各种差异操作员的表达方式以教程形式得出，以使年轻的研究人员和非专家。该坐标系中表达的物理问题将受益于等离子体焦点鞘的自然对称特性。例如，电流密度的正常成分为零，速度主要具有正常分量。本文旨在作为随时可用的参考，希望能找到有用。
This paper describes in detail the construction of a local right-handed, orthogonal curvilinear coordinate system whose axes are along the local tangent, the local azimuth and the local normal of an analytically defined 3D surface of rotation, whose shape mimics the shape of a plasma focus current sheath. Expressions for various differential operators are derived in a tutorial format for the benefit of young researchers and non-specialists. Physical problems expressed in this coordinate system would benefit from the natural symmetry properties of the plasma focus sheath. For example, the normal component of current density is zero and the velocity has mainly the normal component. This paper is meant to serve as a readily available reference in the hope that it would be found useful.
