FVM-Modeling of Continuity-Coupled Electrical Charge Submitted to Incompressible Flow with OpenFOAM

D. Rubinetti, D. Weiss
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Abstract

This study conceives a FVM-based model for ionization processes coupling the incompressible Navier-Stokes equations to Maxwell’s equations adjusted for electrostatics. Modeling instructions for the opensource tool Open-FOAM™ are presented within the scope of defining a customized solver which calculates the distortion of electrical current by an external fluid flow. By means of a simplified test-case the neglegibile impact of external convection on the distribution of space charge for many engineering applications is confirmed while pointing out the limitations of negligible convection. The study shows that peak velocities beyond 100 ms − 1 within the flow field might have an impact on the current distribution, thus requiring careful evaluation of the modeling assumptions. The approach described in the modeling guide proves to be numerically stable. The results for the electric field distribution have been analytically verified.
不可压缩流动中连续耦合电荷的fvm建模
本研究设想了一个基于fvm的电离过程模型,将不可压缩的Navier-Stokes方程与根据静电调整的Maxwell方程耦合在一起。开源工具Open-FOAM™的建模说明在定义定制求解器的范围内提出,该求解器计算外部流体流动产生的电流畸变。通过一个简化的测试案例,在指出可忽略对流的局限性的同时,证实了外对流对空间电荷分布的影响可忽略不计。研究表明,流场中超过100 ms−1的峰值速度可能会对电流分布产生影响,因此需要仔细评估建模假设。建模指南中描述的方法在数值上是稳定的。对电场分布的计算结果进行了分析验证。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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