求解流函数方程Cauchy问题的一种迭代投影方法

A PROJECTION-ITERATION METHOD FOR SOLVING THE CAUCHY PROBLEM OF THE FLUX FUNCTION EQUATIONS

本文提出了求解流函数方程Cauchy问题的一种优化迭代方法——迭代投影法。此法具有较高的迭代收敛速度且宜于计算带有极向偏滤器等离子体平衡问题的外部解。计算了几种带偏滤器的等离子体平衡位形。此外,还将另一些计算结果与解析解进行了比较,结果是满意的。

In this paper, an optimal iteration procedure, the projection-iteration method, is developed to solve the Cauchy problems of the flux function equation. This method exhibits higher convergent speed and is suitable for calculating the plasma configurations with divertors. Several important plasma configurations have been calculated. The numerical solutions are found to be in good agreement with the analytical solutions.