Single streamers are currently well simulated using detailed computational models. Most of these models are inhibitively complex to use for modelling many-streamer interactions in a streamer corona. This work develops reduced order models of single positive streamers in atmospheric pressure air that replicate the core macroscopic behaviour of detailed models whilst using a simpler physics representation. Models are developed using the 1.5D framework, with emphasis placed on solving the equations of motion in the streamer reference frame. The solution in this quasi-steady frame is shown to be a good representation of the instantaneous state of the streamer. Finally, a method of uniquely characterizing the instantaneous state of a streamer using its macroscopic parameters (velocity, radius, tip electric field and channel electric field) is developed. This characterization is interpreted graphically, with streamers treated as quasi-steady structures which evolve in time at a rate much slower than the time scale of electron transport. Previous work in the literature is shown to be well captured by this interpretation.

中文翻译：

---

使用降阶模型研究作为准稳态结构的正拖缆

目前使用详细的计算模型很好地模拟了单个拖缆。这些模型中的大多数对于用于模拟拖缆电晕中的多拖缆相互作用非常复杂。这项工作开发了大气压空气中单个正拖缆的降阶模型，该模型复制了详细模型的核心宏观行为，同时使用了更简单的物理表示。模型是使用 1.5D 框架开发的，重点是求解拖缆参考系中的运动方程。该准稳态坐标系中的解被证明可以很好地表示拖缆的瞬时状态。最后，开发了一种使用宏观参数（速度、半径、尖端电场和通道电场）来唯一表征拖缆瞬时状态的方法。这种表征以图形方式解释，流注被视为准稳态结构，其随时间演变的速度远慢于电子传输的时间尺度。文献中以前的工作被证明可以很好地被这种解释所捕获。