论文标题
将泊松方程的尺寸降低，并应用于大厅推进器的粒子模拟
Dimensionality reduction of Poisson's equation with application to particle-in-cell simulations of Hall thrusters
论文作者
论文摘要
在本文中，我们在弗拉索夫 - 波森系统中为泊松方程介绍了一种新颖的维度降低公式，该方程得出了一个减少的粒子中的粒子方案。该方案可以显着降低霍尔推进器的自洽动力学模拟的计算成本。提出了降低降低方法的表述，以及其对一般泊松问题的验证。此外，我们显示了几个“准2D”轴向齐路模拟的结果，我们在建立良好的2D3V参考案例的条件下进行了。准2D模拟结果与参考案例的比较表明，我们的方法能够准确地解决密集等离子体参数的轴向分布。此外，从准2D模拟中观察到的方位角不稳定性的特征与文献中报道的那些相符。因此，降低的PIC方案被验证为霍尔推进器的传统多维粒子层模拟的可行，低计算成本的替代方案。
In this article, we introduce a novel dimensionality reduction formulation for the Poisson's equation in the Vlasov-Poisson system that yields a reduced-order particle-in-cell scheme. This scheme allows a remarkable reduction in the computational cost of self-consistent kinetic simulations of Hall thrusters. The formulation of the dimensionality reduction approach, together with its verification for a general Poisson's problem, is presented. Moreover, we show the results of several "quasi-2D" axial-azimuthal simulations we performed with the conditions of a well-established 2D3V reference case. Comparison between the results of the quasi-2D simulations and the reference case revealed that our method is able to resolve accurately the axial distributions of the intensive plasma parameters. In addition, the characteristics of the azimuthal instabilities observed from the quasi-2D simulation are shown to be closely in line with those reported in the literature. Accordingly, the reduced-order PIC scheme is verified as a viable, low-computational-cost alternative to the traditional multi-dimensional particle-in-cell simulations of Hall thrusters.
