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首页> 外文期刊>Journal of Plasma Physics >Two-dimensional nonlinear cylindrical equilibria with reversed magnetic shear and sheared flow
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Two-dimensional nonlinear cylindrical equilibria with reversed magnetic shear and sheared flow

机译：具有反向磁剪和剪切流的二维非线性圆柱平衡

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摘要

Nonlinear translational symmetric equilibria with up to quartic flux terms in free functions, reversed magnetic shear, and sheared flow are constructed in two ways: (i) quasi-analytically by an ansatz, which reduces the pertinent generalized Grad- Shafranov equation to a set of ordinary differential equations and algebraic constraints which is then solved numerically, and (ii) completely numerically by prescribing analytically a boundary having an X-point. This latter case presented in Sec. 4 is relevant to the International Thermonuclear Experimental Reactor project. The equilibrium characteristics are then examined by means of pressure, safety factor, current density, and electric field. For flows parallel to the magnetic field, the stability of the equilibria constructed is also examined by applying a sufficient condition. It turns out that the equilibrium nonlinearity has a stabilizing impact, which is slightly enhanced by the sheared flow. In addition, the results indicate that the stability is affected by the up-down asymmetry.
机译：非线性平移对称均衡具有两种自由函数，反向磁剪切和剪切流的四次通量项，其构造方式有两种：（i）ansatz准解析，将相关的广义Grad-Shafranov方程简化为一组常微分方程和代数约束，然后对其进行数值求解;（ii）通过分析性地规定具有X点的边界来完全数值求解。后一种情况在第二节中介绍。图4与国际热核实验反应堆项目有关。然后通过压力，安全系数，电流密度和电场检查平衡特性。对于平行于磁场的流动，还通过施加足够的条件来检验构造的平衡的稳定性。事实证明，平衡非线性具有稳定的影响，而剪切流会稍微增强该影响。此外，结果表明稳定性受上下不对称性的影响。

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