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arXiv 1302.4115physics.plasm-ph
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流光放电的高阶流体模型。II。平面锋的数值解及研究

High order fluid model for streamer discharges. II. Numerical solution and investigation of planar fronts

A. H. Markosyan, S. Dujko, U. Ebert

摘要:

本文采用前一篇论文中发展的高阶流体模型,研究了负平面流注波前在纯氮中的传播。该模型由电子密度、平均电子速度、平均电子能量和平均电子能流的平衡方程组成。这些平衡方程已获得的玻尔兹曼方程的速度矩,并在这里耦合到泊松方程的空间电荷电场。在这里,与高阶模型,与PIC/MC(粒子在细胞/蒙特卡罗)模型和一阶流体模型的基础上的流体动力学漂移扩散近似的模拟结果进行了介绍和比较。通过与MC模型的比较,验证了高阶流体模型的正确性,从而支持了其正确的理论推导和数值实现。一阶流体模型的局部场近似的结果,通常用于流光放电,显示出相当大的偏差。此外,我们研究了不一致的实施到我们的高阶流体模型的传输数据所造成的模拟结果的不准确性。通过与忽略能流项的结果的比较,我们也证明了能流项在高阶模型中的重要性。最后,结果与近似的高阶张量的能流方程被认为是同意与PIC/MC的结果减少电场高达1000汤森,在这项工作中考虑。

英文摘要:

The high order fluid model developed in the preceding paper is employed here to study the propagation of negative planar streamer fronts in pure nitrogen. The model consists of the balance equations for electron density, average electron velocity, average electron energy and average electron energy flux. These balance equations have been obtained as velocity moments of Boltzmann's equation and are here coupled to the Poisson equation for the space charge electric field. Here the results of simulations with the high order model, with a PIC/MC (Particle in cell/Monte Carlo) model and with the first order fluid model based on the hydrodynamic drift-diffusion approximation are presented and compared. The comparison with the MC model clearly validates our high order fluid model, thus supporting its correct theoretical derivation and numerical implementation. The results of the first order fluid model with local field approximation, as usually used for streamer discharges, show considerable deviations. Furthermore, we study the inaccuracies of simulation results caused by an inconsistent implementation of transport data into our high order fluid model. We also demonstrate the importance of the energy flux term in the high order model by comparing with results where this term is neglected. Finally, results with an approximation for the high order tensor in the energy flux equation is found to agree well with the PIC/MC results for reduced electric fields up to 1000 Townsend, as considered in this work.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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