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首页> 外文期刊>Journal of Computational Physics >Spatially hybrid computations for streamer discharges with generic features of pulled fronts: I. Planar fronts
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Spatially hybrid computations for streamer discharges with generic features of pulled fronts: I. Planar fronts

机译：具有拖拉前沿的一般特征的拖缆流量的空间混合计算：I.平面前沿

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Streamers are the first stage of sparks and lightning; they grow due to a strongly enhanced electric field at their tips; this field is created by a thin curved space charge layer. These multiple scales are already challenging when the electrons are approximated by densities. However, electron density fluctuations in the leading edge of the front and non-thermal stretched tails of the electron energy distribution (as a cause of X-ray emissions) require a particle model to follow the electron motion. But present computers cannot deal with all electrons in a fully developed streamer. Therefore, super-particle have to be introduced, which leads to wrong statistics and numerical artifacts. The method of choice is a hybrid computation in space where individual electrons are followed in the region of high electric field and low density while the bulk of the electrons is approximated by densities (or fluids). We here develop the hybrid coupling for planar fronts. First, to obtain a consistent flux at the interface between particle and fluid model in the hybrid computation, the widely used classical fluid model is replaced by an extended fluid model. Then the coupling algorithm and the numerical implementation of the spatially hybrid model are presented in detail, in particular, the position of the model interface and the construction of the buffer region. The method carries generic features of pulled fronts that can be applied to similar problems like large deviations in the leading edge of population fronts, etc.
机译：彩带是火花和闪电的第一阶段。它们由于尖端电场的强烈增强而生长;该场由薄的弯曲空间电荷层产生。当电子通过密度近似时，这些多重尺度已经具有挑战性。但是，电子能量分布的前缘和非热拉伸尾端的电子密度波动（作为X射线发射的原因）需要使用粒子模型来跟随电子运动。但是目前的计算机无法在完全成熟的拖缆中处理所有电子。因此，必须引入超粒子，这会导致错误的统计信息和数值伪像。选择的方法是在空间中进行混合计算，其中在高电场和低密度的区域中跟踪单个电子，而大部分电子通过密度（或流体）来近似。我们在这里开发用于平面前端的混合耦合。首先，为了在混合计算中在粒子和流体模型之间的界面处获得一致的通量，被广泛使用的经典流体模型被扩展的流体模型代替。然后详细介绍了空间混合模型的耦合算法和数值实现，特别是模型接口的位置和缓冲区的构造。该方法具有拉动前沿的一般特征，可以应用于类似的问题，例如总体前沿的较大偏差等。

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