马征征, 徐彬, 许正文. 尘埃等离子体混合模型中电荷—电势问题的迭代法求解[J]. 电波科学学报, 2015, 30(3): 549-553. doi: 10.13443/j.cjors.2014061301
      引用本文: 马征征, 徐彬, 许正文. 尘埃等离子体混合模型中电荷—电势问题的迭代法求解[J]. 电波科学学报, 2015, 30(3): 549-553. doi: 10.13443/j.cjors.2014061301
      MA Zhengzheng, XU Bin, XU Zhengwen. Solving charge-potential issue in dusty plasma hybrid model by iteration method[J]. CHINESE JOURNAL OF RADIO SCIENCE, 2015, 30(3): 549-553. doi: 10.13443/j.cjors.2014061301
      Citation: MA Zhengzheng, XU Bin, XU Zhengwen. Solving charge-potential issue in dusty plasma hybrid model by iteration method[J]. CHINESE JOURNAL OF RADIO SCIENCE, 2015, 30(3): 549-553. doi: 10.13443/j.cjors.2014061301

      尘埃等离子体混合模型中电荷—电势问题的迭代法求解

      Solving charge-potential issue in dusty plasma hybrid model by iteration method

      • 摘要: 针对尘埃等离子体领域的工程实际问题, 研究了混合模型中电荷电势问题的迭代法求解.具体情形为电子密度服从波尔兹曼分布, 而电势由泊松方程决定.研究结果表明, 简单情况下牛顿迭代法具有非常好的适用性, 但对于复杂的工程实际情况, 标准的牛顿迭代法不再适用.研究验证, 平行弦法对此复杂情况能够具有较好的适用性:当下山因子取值在一定范围内时, 迭代过程收敛且稳定; 同时, 收敛速度随下山因子增大而加快.

         

        Abstract: With respect to the engineering practice issues in the dusty plasma domain, we studied the iteration method of solving charge-potential issue in hybrid model. In detail, the electron density obeys the Boltzmann law distribution, and the electrostatic potential is determined by Poisson's equation. The result indicates that the Newton iteration method is quite applicable for the simple case. But it is inapplicable to the complex case in engineer practice. The study validates that the parallel secant method is applicable for this complex case. The iteration can be convergent and stable when the value of down factor is within a certain range. At the same time, the convergence speed increases when the value of down factor increases.

         

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