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Numerical study of energy transport in expanding lightning return stroke channel

机译：扩大雷击回程通道能量传输的数值研究

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摘要

In previous work we developed a uniu001ced lightning return stroke solver to simulate therncomplicated return stroke phenomena [Q. Chen et. al., Phys. Plasmas, 21, 032901 (2014)]. Thernmain part of this numerical solver consists of speciu001ced pulse current models, plasma equationsrnof state and a two-dimensional Eulerian u001cnite diu001berence code for solving the non-ideal magne-rntohydrodynamic (MHD) equations including the eu001bects of self-consistent magnetic u001celd, thermalrnconduction, resistivity, gravity and radiation transfer. The diu001berential equations are kept in thernconservative form and modern high-accuracy shock capturing schemes are equipped, e.g., the 5-rnorder weighted essentially non-oscillatory (5WENO) scheme combined with Lax-Friedrichs (LF)rnu001dux splitting method is introduced for computing the convection terms of the MHD equations,rnwhere the artiu001ccial viscosity is used and the 3-order total variation diminishing (TVD) Runge-rnKutta integral operator is also equipped. The numerical algorithms for non-ideal terms, e.g.,rnradiation transfer, resistivity and thermal conduction, are implemented via physical phenomenarnseparating method which is called operator splitting method in mathematics. To describe thernradiation transfer, the assumption that the radiation in lightning return stroke channel is in localrnthermodynamic equilibrium (LTE) with plasma components is introduced and the u001dux limitedrndiu001busion algorithm with grey opacities is implemented. The transport coeu001ecients and plasmarnequations of state of lightning return stroke channel are obtained from detailed particle populationrndistribution calculation, which makes the numerical model is self-consistent. In previous workrnthis numerical solver was systematically validated via theoretical solutions and previous numericalrnresults. In this work the energy transport problems in expanding lightning return stroke channelsrnare intensively studied via the numerical solver, which includ the balance between power injectionrnand release, the evolution characters of diu001berent parts in total energy, the dynamical processesrninu001duenced by radiation cooling and energy transfer caused by population distribution evolution.rnThe nuerical results are consistent with the conservation law. The discussions in this work givernmore intensive knowledge about return stroke process which are of signiu001ccance to lightning physics.
机译：在以前的工作中，我们开发了一种通用的雷电回程求解器来模拟复杂的回程现象。陈等等，物理Plasmas，21，032901（2014）。该数值解算器的主要部分由特定的脉冲电流模型，等离子体方程组，稳态和二维欧拉uucncnite diu001berence码组成，用于求解非理想的磁流体动力学（MHD）方程，其中包括自洽磁，热传导，电阻率，重力和辐射传递。将微分方程保持为保守形式，并配备了现代的高精度震动捕获方案，例如，引入了5阶加权基本非振荡（5WENO）方案与Lax-Friedrichs（LF）rnu001dux分裂方法相结合来计算MHD方程的对流项，其中使用了人工粘度，并配备了三阶总变差递减（TVD）Runge-rnKutta积分算子。通过辐射现象转移，电阻率和热传导等非理想项的数值算法是通过物理现象分离方法实现的，该方法在数学上称为算子拆分方法。为了描述辐射传递，引入了假设雷电回程通道中的辐射处于具有等离子体成分的局部热力学平衡（LTE）的假设，并实现了具有灰色不透明的ubusdux limitedrndiu001busion算法。通过详细的粒子总数分布计算，得出了雷电回程通道状态的输运系数和等离子体方程，使数值模型具有自洽性。在以前的工作中，该数值解算器是通过理论解和先前的数值结果进行系统验证的。在这项工作中，通过数值求解器深入研究了扩展雷电回程通道的能量传输问题，其中包括能量注入与释放，总能量中微量部分的演化特征，辐射冷却引起的动力学过程以及由能量引起的能量转移之间的平衡。数值结果与保护定律一致。这项工作中的讨论使人们对回程过程有了更深入的了解，这对闪电物理学具有重要意义。

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  • 来源
  • 会议地点 Chengdu(CN)
  • 作者

    Qiang Chen; Bin Chen; Run Xiong; Zhaoyang Cai; Boao Xu;

  • 作者单位

    National Key Laboratory of Electromagnetic Environment and Electro-optical Engineering,PLA University of Science and Technology, Nanjing 210007, People's Republic of China emcchen@163.com;

    National Key Laboratory of Electromagnetic Environment and Electro-optical Engineering,PLA University of Science and Technology, Nanjing 210007, People's Republic of China;

    National Key Laboratory of Electromagnetic Environment and Electro-optical Engineering,PLA University of Science and Technology, Nanjing 210007, People's Republic of China;

    National Key Laboratory of Electromagnetic Environment and Electro-optical Engineering,PLA University of Science and Technology, Nanjing 210007, People's Republic of China;

    National Key Laboratory of Electromagnetic Environment and Electro-optical Engineering,PLA University of Science and Technology, Nanjing 210007, People's Republic of China;

  • 会议组织
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Magnetohydrodynamics; Radiation Transfer; Self-consistent Modeling; Conservation Law; Shock Capturing Schemes;

    机译：磁流体动力学；辐射转移；自洽的建模；养护法；震动捕捉方案;

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