In the present paper,we first derive the eigenmode equation of the ideal ballooning mode in tokamak plasmas using a gyrokinetic equation.It is shown that the gyrokinetic eigenmode equation can be reduced to the magnet...In the present paper,we first derive the eigenmode equation of the ideal ballooning mode in tokamak plasmas using a gyrokinetic equation.It is shown that the gyrokinetic eigenmode equation can be reduced to the magnetohydrodynamic（MHD） form in the long wavelength limit when kinetic effects are ignored.Then,the global gyrokinetic toroidal code（GTC） is applied for simulations of the edge-localized ideal ballooning modes.The obtained mode structures are compared with the results of ideal MHD simulations.The observed scaling of the linear growth rate with the toroidal mode number is consistent with the ideal MHD theory.The simulation results verify the GTC capability of simulating MHD processes in toroidal plasmas.展开更多
Using the Fourier helical decomposition, we obtain the absolute statistical equilibrium spectra of left- and right-handed helical modes in the incompressible ideal Hall magnetohydrodynamics (MHD). It is shown that the...Using the Fourier helical decomposition, we obtain the absolute statistical equilibrium spectra of left- and right-handed helical modes in the incompressible ideal Hall magnetohydrodynamics (MHD). It is shown that the left-handed helical modes play a major role on the spectral transfer properties of turbulence when the generalized helicity and magnetic helicity are both positive. In contrast, the right-handed helical modes will play a major role when both are negative. Furthermore, we also find that if the generalized helicity and magnetic helicity have opposite signs, the tendency of equilibrium spectra to condense at the large or small wave numbers will be presented in different helical sectors. This indicates that the generalized helicity dominates the forward cascade and the magnetic helicity dominates the inverse cascade properties of the Hall MHD turbulence.展开更多
The linear analysis of the influence of diamagnetic effect and toroidal rotation at the edge of tokamak plasmas with BOUT++ is discussed in this paper. This analysis is done by solving the dispersion relation, which i...The linear analysis of the influence of diamagnetic effect and toroidal rotation at the edge of tokamak plasmas with BOUT++ is discussed in this paper. This analysis is done by solving the dispersion relation, which is calculated through the numerical integration of the terms with different physics. This method is able to reveal the contributions of the different terms to the total growth rate. The diamagnetic effect stabilizes the ideal ballooning modes through inhibiting the contribution of curvature. The toroidal rotation effect is also able to suppress the curvaturedriving term, and the stronger shearing rate leads to a stronger stabilization effect. In addition,through linear analysis using the energy form, the curvature-driving term provides the free energy absorbed by the line-bending term, diamagnetic term and convective term.展开更多
研究目的:为选择出适用于钢轨导波无损检测的优势模态,采用半解析有限元法并基于哈密顿原理建立钢轨导波传播的控制方程,求解0~100 k Hz频率范围内的钢轨导波频散特性曲线。通过建立有限元模型对钢轨低频范围内的振动模态进行分析,验证...研究目的:为选择出适用于钢轨导波无损检测的优势模态,采用半解析有限元法并基于哈密顿原理建立钢轨导波传播的控制方程,求解0~100 k Hz频率范围内的钢轨导波频散特性曲线。通过建立有限元模型对钢轨低频范围内的振动模态进行分析,验证半解析有限元法的准确性。在此基础上,提出将有限元法与半解析有限元法相结合的方法,用以分类并追踪钢轨理想导波模态,并根据相应的振型对理想模态导波进行激励和验证。研究结论:(1)随着频率的增大,钢轨导波振动模态数目迅速增加,但频散效应呈减小趋势;(2)对于钢轨基本振动模态,其横截面变形由整体变形逐渐演化为局部变形,其中扭转振动模态适用于轨腰检测,横向弯曲振动模态及竖向弯曲振动模态适用于轨底缺陷的检测;(3)在理想导波模态最大变形位置处施加激励荷载可以成功地激励出理想的导波;(4)本研究结果可为导波传感器设计与优化以及检测试验提供理论参考。展开更多
基金supported by U.S.Department of Energy(DOE) SciDAC GSEP Center and National Special Research Program of China for ITER
文摘In the present paper,we first derive the eigenmode equation of the ideal ballooning mode in tokamak plasmas using a gyrokinetic equation.It is shown that the gyrokinetic eigenmode equation can be reduced to the magnetohydrodynamic（MHD） form in the long wavelength limit when kinetic effects are ignored.Then,the global gyrokinetic toroidal code（GTC） is applied for simulations of the edge-localized ideal ballooning modes.The obtained mode structures are compared with the results of ideal MHD simulations.The observed scaling of the linear growth rate with the toroidal mode number is consistent with the ideal MHD theory.The simulation results verify the GTC capability of simulating MHD processes in toroidal plasmas.
基金Supported by the National Natural Science Foundation of China under Grant Nos 11375190 and 11547137
文摘Using the Fourier helical decomposition, we obtain the absolute statistical equilibrium spectra of left- and right-handed helical modes in the incompressible ideal Hall magnetohydrodynamics (MHD). It is shown that the left-handed helical modes play a major role on the spectral transfer properties of turbulence when the generalized helicity and magnetic helicity are both positive. In contrast, the right-handed helical modes will play a major role when both are negative. Furthermore, we also find that if the generalized helicity and magnetic helicity have opposite signs, the tendency of equilibrium spectra to condense at the large or small wave numbers will be presented in different helical sectors. This indicates that the generalized helicity dominates the forward cascade and the magnetic helicity dominates the inverse cascade properties of the Hall MHD turbulence.
基金supported by program of Fusion Reactor Physics and Digital Tokamak with the CAS ‘OneThree-Five’ Strategic Planningthe JSPS-NRF-NSFC A3 Foresight Program in the field of Plasma Physics (NSFC: No. 11261140328 and NRF: No. z012K2A2A6000443)+1 种基金supported by National Natural Science Foundation of China under Contract Nos. 11405215, 11505236 and 11675217the National Magnetic Confinement Fusion Science Program of China under Contract Nos. 2015GB101003, 2014GB106001 and 2013GB111002
文摘The linear analysis of the influence of diamagnetic effect and toroidal rotation at the edge of tokamak plasmas with BOUT++ is discussed in this paper. This analysis is done by solving the dispersion relation, which is calculated through the numerical integration of the terms with different physics. This method is able to reveal the contributions of the different terms to the total growth rate. The diamagnetic effect stabilizes the ideal ballooning modes through inhibiting the contribution of curvature. The toroidal rotation effect is also able to suppress the curvaturedriving term, and the stronger shearing rate leads to a stronger stabilization effect. In addition,through linear analysis using the energy form, the curvature-driving term provides the free energy absorbed by the line-bending term, diamagnetic term and convective term.
文摘研究目的:为选择出适用于钢轨导波无损检测的优势模态,采用半解析有限元法并基于哈密顿原理建立钢轨导波传播的控制方程,求解0~100 k Hz频率范围内的钢轨导波频散特性曲线。通过建立有限元模型对钢轨低频范围内的振动模态进行分析,验证半解析有限元法的准确性。在此基础上,提出将有限元法与半解析有限元法相结合的方法,用以分类并追踪钢轨理想导波模态,并根据相应的振型对理想模态导波进行激励和验证。研究结论:(1)随着频率的增大,钢轨导波振动模态数目迅速增加,但频散效应呈减小趋势;(2)对于钢轨基本振动模态,其横截面变形由整体变形逐渐演化为局部变形,其中扭转振动模态适用于轨腰检测,横向弯曲振动模态及竖向弯曲振动模态适用于轨底缺陷的检测;(3)在理想导波模态最大变形位置处施加激励荷载可以成功地激励出理想的导波;(4)本研究结果可为导波传感器设计与优化以及检测试验提供理论参考。
