Magnetic reconnection and tearing mode instability play a critical role in many physical processes.The application of Galerkin spectral method for tearing mode instability in two-dimensional geometry is investigated in this paper.A resistive magnetohydrodynamic code is developed,by the Galerkin spectral method both in the periodic and aperiodic directions.Spectral schemes are provided for global modes and local modes.Mode structures,resistivity scaling,convergence and stability of tearing modes are discussed.The effectiveness of the code is demonstrated,and the computational results are compared with the results using Galerkin spectral method only in the periodic direction.The numerical results show that the code using Galerkin spectral method individually allows larger time step in global and local modes simulations,and has better convergence in global modes simulations.

Wu Sun;Jiaqi Wang;Lai Wei;Zhengxiong Wang;Dongjian Liu;Qiaolin He

College of Physics&Key Laboratory of High Energy Density Physics and Technology,Sichuan University,Chengdu 610065,China;School of Physics,Dalian University of Technology,Dalian 116024,China;School of Mathematics,Sichuan University,Chengdu 610065,China

中国物理B（英文版）

[1]Wu Sun;Jiaqi Wang;Lai Wei;Zhengxiong Wang;Dongjian Liu;Qiaolin He-.Application of Galerkin spectral method for tearing mode instability)[J].中国物理B（英文版）,2022(11):200-208

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