A three-component plasma fluid model that considers the presence of electrons, positive ions, and negative ions consists of a nonlinear system of partial differential equations, incorporating numerous disparate time scales both spatially and temporally, and therefore, it is known to be challenging to solve. In this study, on the basis of the model, we develop an Anemone solver capable of numerically estimating the corona inception voltage and energy conversion efficiency in a three-dimensional solid-state electroaerodynamic propulsion system. In previous research, the discharge inception voltage and initial discharge region in the governing equations were obtained by solving a large-scale eigenvalue problem based on global stability analysis. However, in this study, we employ the method of characteristics to obtain the subproblem, transforming it into a large number of smaller-scale eigenvalue problems. Furthermore, we successfully converted these eigenvalue problems into integral equations, making them easier to handle. Finally, we validated the prediction results based on the theoretical results in a previous study.

翻译：一种考虑电子、正离子和负离子存在的三组分等离子体流体模型，由非线性偏微分方程组构成，包含众多时空尺度各异的物理过程，因此求解难度较大。本研究基于该模型，开发了能够数值估算三维固态电空气动力学推进系统中电晕起始电压与能量转换效率的Anemone求解器。在先前研究中，控制方程中的放电起始电压与初始放电区域是通过基于全局稳定性分析的大规模特征值问题求解获得的。然而，本研究采用特征线法获取子问题，将其转化为大量小规模特征值问题。此外，我们成功将这些特征值问题转化为积分方程，使其更易于处理。最后，我们基于前人研究的理论结果对预测结果进行了验证。