电弧喷射推力器流动区域电磁场数值解法

Numerical solution for electromagnetic field within arcjet thruster flow region

关键词:  电弧喷射发动机  电磁场  模型  数值算法

Key words:  Arcjet engine  Electromagnetic field  Model  Numerical algorithm

摘要:

为了有效地进行电弧喷射推力器流动区域全场 (流场、电场、磁场和化学反应 ) 耦合数值模拟并揭示其电磁场特征, 建立了适当的电磁场模型, 对电磁场控制方程的数值解法进行了详细研究。模型基于推力器稳态工作特征, 控制方程由麦克斯韦方程组简化得到, 采用有限控制容积积分方法离散椭圆型控制方程, 采用 9种不同的迭代方法求解离散方程。给出了不同迭代方法的收敛速度、数值稳定性和最终精度。研究表明, Gauss Seidel逐线超松弛迭代法是推力器流动区域电磁场离散方程的一种快速有效的数值解法。

Abstract:

To achieve coupling numerical simulation of the whole fields including flow field, electric field, magnetic field and chemical reaction efficiently and to illustrate the characteristic of electromagnetic field within arcjet thruster flow region, an appropriate electromagnetic field model was established and detailed investigation on numerical solution for it was carried out. The electromagnetic field model was based upon the steady-state operating characteristic of the thruster and the control equation was simplified from Maxwell’s equations. Finite control volume integral method was adopted to discretize the elliptic control equation and nine different iteration techniques were introduced to solve the discretized equation numerically. Convergence speed, stability of solution and ultimate precision of each iteration technique are presented. The investigation indicates that Gauss-Seidel successive line over relaxation method is an efficient numerical solution in this instance.