中文摘要：

采用约化的磁流体力学模型,数值研究了柱位形等离子体中q剖面和极向旋转剖面对q=1撕裂模不稳定性和Kelvin-Helmholtz（K-H）不稳定性的影响.随着旋转强度的增加,m/n=1/1模被逐渐抑制,而高阶谐波模式（如m/n=2/2,m/n=3/3等）会经历四个区间：撕裂模失稳区间、撕裂模致稳区间、稳定窗口区间和K-H不稳定性激发区间.更进一步,我们发现,m/n=1/1模的增长率随旋转强度的改变与剪切层所处位置有关,并且剪切层分布在有理面内外的结果基本一致;然而高阶谐波模式却没有此类现象.另外,有理面处磁剪切越小,撕裂模越容易被剪切流抑制,并且越容易激发K-H不稳定性.

英文摘要：

The influences of safety factor q profile and poloidal rotation profile on the q=1 tearing and Kelvin-Helmholtz（K-H） instabilities are investigated numerically by using a magnetohydrodynamic model in cylindrical geometry.With increasing the poloidal rotation,the m/n=1/1 mode is suppressed,while four domains exist for the high-order harmonic modes（such as m/n=2/2,m/n=3/3）：the destabilized tearing mode domain,stabilized tearing mode domain,stablewindow domain,and unstable K-H mode domain.Further,we find that the growth rate of the m/n=1/1 mode is related to the location of shear layer.Roles of shear flow in the m/n=1/1 mode for the shear layer located t on both the inner and outer sides of rational surface are almost the same,which is different from the scenarios of high-order harmonic modes.In addition,the smaller the magnetic shear on the rational surface,the smaller the growth rate of tearing mode is,and the more easily the K-H instability is excited.