期刊文献+

固定边界平衡方程的数值求解

The Solution of Equilibrium Equation with Fixed Boundary
下载PDF
导出
摘要 采用基于能量原理的变分法求解等离子体平衡方程,在给定的压强和环向电流密度分布情况下,采用变步长默森法对平衡方程进行了数值求解,得到了D型截面下极向和环向磁场分布.采用NSTX装置参数计算所得结果与文献结果一致.开发的固定边界平衡方程求解程序具有通用性特点,可以模拟不同装置的平衡位型. A variational method based on an energy principle is applied to solve plasma equilibrium equation. When the plasma pressure and current density profile is given,the balance equation is solved using a variable-step-size Merson method. The poloidal and toroidal magnetic field with dee-shaped plasma are obtained. The results which adopted NSTX device parameters are achieved agreeable to those in the references. The program is universal,which can be applied to simulate the balance equilibrium configuration in the different devices.
作者 黄千红
出处 《南华大学学报(自然科学版)》 2014年第3期1-4,共4页 Journal of University of South China:Science and Technology
基金 研究生创新课题基金资助项目(2013XCX02) 衡阳市科技局基础课题基金资助项目(2013KJ24) 湖南省核聚变与等离子体物理创新团队建设基金资助项目(NHXTD03)
关键词 Grad-Shafranov方程 变分法 默森法 Grad-Shafranov equation variational method Merson method
  • 相关文献

参考文献12

  • 1Mc Carthy P J. Analytical solutions to the Grad-Shafranov equation for tokamak equilibrium with dissimilar source functions [ J ]. Phys. Plasmas, 1999,6 (9) : 3554-3560. 被引量:1
  • 2Guazzotto L, Freidberg J P. A family of analytic equilibri- um solutions for the Grad-Shafranov equation [ J ]. Phys- ics of Plasmas,2007,14( 11 ) :112508. 被引量:1
  • 3Lao L L, Hirshman S P, Wieland R M. Variational, mo- ment solutions to the Grad-Shafranov equation[ J]. Phys- ics of Fluids, 1981,24(8) :1431-1440. 被引量:1
  • 4Ludwig G O. Direct variational solutions to the Grad- Schluter-Shafanov equation [ J ]. Plasma phys. Control.Fusion. 1995,37 : 633-646. 被引量:1
  • 5Ludwig G O. Direct variational solutions of the tokamak equilibriumproblem [ J ]. Plasma Phys. Control. Fusion, 1997,39 : 2021-2037. 被引量:1
  • 6Bingren Shi. Semi-analytic approach to diverted tokamak equilibria with incompressible toroidal and poloidal flows [ J ]. Nucl. Fusion,2011,51 (2) :023004. 被引量:1
  • 7Shi Bingren. Simple semi-analytic toroidally axisymmetric equilibria with natural D-shape separatrix [ J ]. Plasma Phys. control. Fusion ,2008,50( 8 ) :085006. 被引量:1
  • 8石秉仁.Analytic description of tokamak equilibrium sustained by high fraction bootstrap current[J].Chinese Physics B,2003,12(6):626-631. 被引量:3
  • 9查学军,朱思铮,虞清泉.托卡马克等离子体平衡的数值研究[J].计算物理,2002,19(5):413-418. 被引量:2
  • 10毛瑞,李佳鲜,马瑞,张锦华.HL-2M装置实时等离子体平衡重建算法[J].核聚变与等离子体物理,2013,33(3):231-238. 被引量:4

二级参考文献62

共引文献6

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部