Nova: a nonvariational code for solving the MHD stability of axisymmetric toroidal plasmas

Nova: a nonvariational code for solving the MHD stability of axisymmetric toroidal plasmas
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DOI:
10.1016/0021-9991(87)90023-4
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发表时间:
1987-07
影响因子:
4.1
通讯作者:
C. Cheng;M. Chance
C. Cheng;M. Chance
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
C. Cheng;M. Chance

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提出了一种确定轴对称环形约束系统理想MHD稳定性的非变分方法。该程序(NOVA)在通用通量坐标系(ψ,φ,ζ)中使用三次B-样条有限元和傅立叶展开。与现有的采用线性有限元的变分PEST和ERATO程序相比,至少获得了同样高的精度和更快的收敛速度。这种以理想MHD问题为基准的非变分方法是未来适用于具有无法获得变分能量原理的非厄米本征模方程的问题的扩展版本的前奏。
A nonvariational approach for determining the ideal MHD stability of axisymmetric toroidal confinement systems is presented. The code (NOVA) employs cubicB-spline finite elements and Fourier expansion in a general flux coordinate (ψ, φ, ζ) system. At least as much accuracy and faster convergence were obtained in comparison with the existing variational PEST and ERATO codes which employ linear finite elements. This nonvariational approach benchmarked here on the ideal MHD problem is a prelude to a future extended version applicable to problems having non-Hermitian eigenmode equations where variational energy principles cannot be obtained.