Stability of Tokamak Equilibrium with Internal Transport Barrier against High-n MHD Ballooning Mode

A new eigen-mode equation for the tokamak high-n （the toroidal mode number） ideal magnetohydrodynamic （MHD） ballooning mode in tokamak plasmas is derived to include the toroidal effects that are significant for stability of configurations with internal transport barriers （ITBs）, Fot tokamak equilibria of shift circular flux surfaces, these toroidal effects basically are the finite inverse aspect ratio and the Shafranov shift. The former yields the averaged favorable curvature stabilization while the latter further strengthens this effect, leading to a low shear stable channel connecting the first and second stability regions, and to the shrinkage of unstable region in the （8,α） diagram. The dependence of the critical shear, below which the plasma is stable, on these effects is given. These results are important for understanding the ITB physics to some regards.     

Stability of Tokamak Plasmas with Internal Transport Barriers against High Ideal Magnetohydrodynamic Ballooning Mode

High n （ the toroidal mode number） ballooning mode analysis is generally thought to be the most fundamental tool for the study of the magnetohydrodynamic （MHD） stability in magnetically confinement toroidal fusion devices. Very recently, new interest on ballooning mode study is put on the internal transport barrier （ITB） phenomena, an improved confinement structure characterized by a central negative shear region and a much smaller energy transport region near the minimum of q.     

托卡马克等离子体内部输运垒触发机制的数值模拟和并行效率

对托卡马克等离子体内部输运垒触发机制的动力学特征进行了数值模拟,通过区域分解法实现了数值模拟程序并行化,并行效率随计算机规模的增加而提高,结果与理论分析相吻合.并行模拟程序也适合MHD非线性撕裂模的数值求解.     

Stability of tokamak plasmas with internal transport barriers against high n ideal magnetohydrodynamic ballooning mode

A ballooning mode equation for tokamak plasma, with the toroidicity and the Shafranov shift effects included, is derived for a shift circular flux tokamak configuration. Using this equation, the stability of the plasma configuration with an internal transport barrier （ITB） against the high n （the toroidal mode number） ideal magnetohydrodynamic （MHD） ballooning mode is analysed. It is shown that both the toroidicity and the Shaftanov shift effects are stabilizing. In the ITB region, these effects give rise to a low shear stable channel between the first and the second stability regions. Out of the ITB region towards the plasma edge, the stabilizing effect of the Shaftanov shift causes the unstable zone to be significantly narrowed.