摘要
基于一维粒子-能量输运方程组,采用差分方法编写了模拟托卡马克聚变等离子体的密度和温度剖面演化的数值求解程序。在其中使用预估-校正方法处理了方程中的非线性项并利用能量约束时间定标律求得输运系数。模拟得到的聚变性能与之前文献采用其他方法计算的结果符合较好。该程序可用于研究托卡马克反应堆的聚变性能以及温度和密度的剖面形状。
The evolution of plasma temperature and density profiles is simulated with a code which solving the one -dimensional transport formulas with difference method. The nonlinear terms in the formulas are treated with a predictor - corrector method and the transport coefficient is evaluated by matching the scaling law of energy confinement time. The fusion performance calculated with the modeling results accord well with the results calculated with other models in the references. The code in this paper can be used to study the fusion performance and the profiles of temperature and density in tokamak fusion reactors.
出处
《电子科技》
2017年第6期5-8,共4页
Electronic Science and Technology
基金
国家自然科学基金(11175178)
关键词
数值模拟
预估校正算法
非线性方程
定标律
numerical simulation
predictor - corrector method
non - linear formula
scaling law