Screening effect of plasma flow on the resonant magnetic perturbation penetration in tokamaks based on two-fluid model

Numerical simulation on the resonant magnetic perturbation penetration is carried out by the newly-updated initial value code MDC (MHD@Dalian Code). Based on a set of two-fluid four-field equations, the bootstrap current, parallel, and perpendicular transport effects are included appropriately. Taking into account the bootstrap current, a mode penetration-like phenomenon is found, which is essentially different from the classical tearing mode model. To reveal the influence of the plasma flow on the mode penetration process, E × B drift flow and diamagnetic drift flow are separately applied to compare their effects. Numerical results show that a sufficiently large diamagnetic drift flow can drive a strong stabilizing effect on the neoclassical tearing mode. Furthermore, an oscillation phenomenon of island width is discovered. By analyzing it in depth, it is found that this oscillation phenomenon is due to the negative feedback regulation of pressure on the magnetic island. This physical mechanism is verified again by key parameter scanning.

[1]  Zhengxiong Wang,et al.  Effects of plasma radiation on the nonlinear evolution of neo-classical tearing modes in tokamak plasmas , 2022, Plasma Science and Technology.

[2]  N. Fisch,et al.  On the stabilisation of locked tearing modes in ITER and other large tokamaks , 2021, Nuclear Fusion.

[3]  Zhengxiong Wang,et al.  A brief review: effects of resonant magnetic perturbation on classical and neoclassical tearing modes in tokamaks , 2021, Plasma Science and Technology.

[4]  C. Zhu,et al.  Physics basis for design of 3D coils in tokamaks , 2021 .

[5]  Wei Zhang,et al.  Systematic simulation studies on the penetration of resonant magnetic perturbations in EAST , 2020 .

[6]  K. Lackner,et al.  Effect of resonant magnetic perturbations on local plasma current density gradients and neoclassical tearing modes , 2020, Nuclear Fusion.

[7]  Zhiwei Ma,et al.  Locking effects of error fields on a tearing mode in tokamak , 2020, Plasma Physics and Controlled Fusion.

[8]  E. Kolemen,et al.  Experimental evidence of electron-cyclotron current drive-based neoclassical tearing mode suppression threshold reduction during mode locking on DIII-D , 2020, Plasma Physics and Controlled Fusion.

[9]  R. Nazikian,et al.  Nonlinear modeling of the scaling law for the m/n=3/2 error field penetration threshold , 2020, Nuclear Fusion.

[10]  Jialei Wang,et al.  Control of neoclassical tearing mode by synergetic effects of resonant magnetic perturbation and electron cyclotron current drive in reversed magnetic shear tokamak plasmas , 2020 .

[11]  Zhengxiong Wang,et al.  Effects of diamagnetic drift on magnetohydrodynamic explosive bursts in reversed magnetic shear tokamak plasmas , 2019, Nuclear Fusion.

[12]  H. W. Zhang,et al.  Core-crash sawtooth associated with m/n = 2/1 double tearing mode in Tokamak , 2019, Plasma Physics and Controlled Fusion.

[13]  Jialei Wang,et al.  Effects of resonant magnetic perturbation on locked mode of neoclassical tearing modes , 2019, Plasma Science and Technology.

[14]  R. Fitzpatrick.  Nonlinear neoclassical two-fluid theory of response of tokamak plasma to resonant error-field , 2018, Physics of Plasmas.

[15]  C. Sovinec,et al.  Mode penetration induced by transient magnetic perturbations , 2018, Physics of Plasmas.

[16]  Jialei Wang,et al.  Suppression of explosive bursts triggered by neo-classical tearing mode in reversed magnetic shear tokamak plasmas via ECCD , 2018, Nuclear Fusion.

[17]  Yueqiang Liu,et al.  Density scaling on n  =  1 error field penetration in ohmically heated discharges in EAST , 2018 .

[18]  K. Lackner,et al.  Suppressing magnetic island growth by resonant magnetic perturbation , 2018 .

[19]  Wei Wang,et al.  Magnetic-island-induced ion temperature gradient mode: Landau damping, equilibrium magnetic shear and pressure flattening effects , 2018 .

[20]  Y. Liu,et al.  Experimental observation of the transition between resistive ballooning modes and ion temperature gradient modes in the edge of the HL-2A tokamak , 2018 .

[21]  Zhengxiong Wang,et al.  Multiple ion temperature gradient driven modes in transport barriers , 2017 .

[22]  F. Jenko,et al.  Multi-field/-scale interactions of turbulence with neoclassical tearing mode magnetic islands in the DIII-D tokamak , 2017 .

[23]  Jialei Wang,et al.  Control of neo-classical double tearing modes by differential poloidal rotation in reversed magnetic shear tokamak plasmas , 2017 .

[24]  Jialei Wang,et al.  Nonlinear evolution of multi-helicity neo-classical tearing modes in rotating tokamak plasmas , 2016 .

[25]  M. Walker,et al.  Error field optimization in DIII-D using extremum seeking control , 2016 .

[26]  Jialei Wang,et al.  Penetration of resonant magnetic perturbations in a rotating tokamak plasma with neoclassical poloidal viscosity , 2015 .

[27]  Wang Huihui,et al.  On the Transition Regime of Nonlinear Error Field Penetration in Toroidal Plasmas , 2015 .

[28]  Zhengxiong Wang,et al.  Nonlinear evolution of neo-classical tearing modes in reversed magnetic shear tokamak plasmas , 2015 .

[29]  Q. Hu,et al.  Study of the penetration of resonant magnetic perturbations in J-TEXT , 2014 .

[30]  P. Morrison,et al.  Stability of compressible reduced magnetohydrodynamic equilibria—Analogy with magnetorotational instability , 2013, 1302.1822.

[31]  Q. Hu,et al.  Effect of externally applied resonant magnetic perturbations on resistive tearing modes , 2012 .

[32]  M. Maraschek,et al.  Control of neoclassical tearing modes , 2012 .

[33]  A. Loarte,et al.  Screening of resonant magnetic perturbations by flows in tokamaks , 2012 .

[34]  Olivier Sauter,et al.  On the requirements to control neoclassical tearing modes in burning plasmas , 2010 .

[35]  S. Günter,et al.  Effect of resonant helical magnetic fields on plasma rotation , 2009 .

[36]  S. Günter,et al.  Locking of neoclassical tearing modes by error fields and its stabilization by RF current , 2008 .

[37]  H. Koslowski,et al.  The interaction between plasma rotation, stochastic fields and tearing mode excitation by external perturbation fields , 2008 .

[38]  A. Donné,et al.  Effect of the dynamic ergodic divertor in the TEXTOR tokamak on MHD stability, plasma rotation and transport , 2005 .

[39]  R. J. La Haye,et al.  Neoclassical tearing modes and their controla) , 2005 .

[40]  R. J. Buttery,et al.  Error field experiments in JET , 2000 .

[41]  M. F. F. Nave,et al.  Mode locking in tokamaks , 1990 .

[42]  R. Carrera,et al.  Island bootstrap current modification of the nonlinear dynamics of the tearing mode , 1986 .

[43]  Richard D Hazeltine,et al.  A four‐field model for tokamak plasma dynamics , 1985 .

[44]  H. R. Strauss,et al.  Dynamics of high tokamaks , 1977 .

[45]  Paul H. Rutherford,et al.  Nonlinear growth of the tearing mode , 1973 .

[46]  J. W. Connor,et al.  Diffusion Driven Plasma Currents and Bootstrap Tokamak , 1971 .

[47]  Harold P. Furth,et al.  Finite‐Resistivity Instabilities of a Sheet Pinch , 1963 .