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目前,电推力器中复杂电场的三维泊松方程求解仍存在速度偏慢、并行性欠佳等缺陷。通过分解三维求解区域,针对复杂电场提出一种超松弛并行(P-SOR)迭代算法。将求解区域划分为多个子块,利用超松弛迭代格式构造出若干分组显式格式,分别给出不同迭代步数下的求解方程以进行并行计算。通过数值模拟,计算时间至少缩短一半以上,该P-SOR方法较传统迭代格式在快速性方面取得较大进展,对电推进领域的数值仿真研究起到促进作用。
At present, the three-dimensional Poisson equation of complex electric field in electric thrusters still has defects such as slow speed and poor parallelism. By decomposing the three-dimensional solution region, an over-relaxation parallel (P-SOR) iterative algorithm is proposed for complex electric fields. The solution region is divided into several sub-blocks, and some group explicit format is constructed by over-relaxation iterative scheme. The solving equations under different iteration steps are given respectively for parallel computation. By numerical simulation, the computation time is shortened by at least half. Compared with the traditional iterative scheme, the P-SOR method has made great progress in the fastness, which can promote the numerical simulation in the field of electric propulsion.