论文标题
大厅推进器中无碰撞离子建模：分析轴向速度分布函数和热通量闭合
Collisionless ion modeling in Hall thrusters: analytical axial velocity distribution function and heat flux closures
论文作者
论文摘要
离子轴向速度分布函数（VDF）的起源分析了无碰撞霍尔推进器放电。 VDF的分析形式是从VLASOV方程中获得的，通过在推进器通道中应用Tonks-Langmuir理论，在简化的单声工创建离子和稳态的假设下。等效的1D非稳态各向异性力矩方程源自vlasov方程，并假设离子VDF的多项式形状，则配制了简单的现象学封闭。将分析结果和各向异性力矩方程与无碰撞PIC模拟进行比较，该模拟使用零热通量（Euler样方程）或多项式VDF闭合热通量。然后将分析离子VDF及其矩与实验测量进行比较。
The genesis of the ion axial velocity distribution function (VDF) is analyzed for collisionless Hall thruster discharges. An analytical form for the VDF is obtained from the Vlasov equation, by applying the Tonks-Langmuir theory in the thruster channel, under the simplifying assumptions of monoenergetic creation of ions and steady state. The equivalent set of 1D unsteady anisotropic moment equations is derived from the Vlasov equation, and simple phenomenological closures are formulated, assuming a polynomial shape for the ions VDF. The analytical results and the anisotropic moment equations are compared to collisionless PIC simulations, employing either a zero heat flux (Euler-like equations) or the polynomial-VDF closure for the heat flux. The analytical ion VDF and its moments are then compared to experimental measurements.
