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Zhang, W.; Jardin, S. C.; Ma, Z. W.; Kleiner, A.; Zhang, H. W.

Linear and nonlinear benchmarks between the CLT code and the M3D-C1 code for the 2/1 resistive tearing mode and the 1/1 resistive kink mode. (English) Zbl 1535.76067

Comput. Phys. Commun. 269, Article ID 108134, 8 p. (2021).
Summary: The linear and nonlinear benchmarks between the CLT code and the M3D-C1 code for the 2/1 resistive tearing mode and the 1/1 resistive kink mode are presented. CLT is an explicit finite difference code, while M3D-C1 is an implicit finite element code. Although the implementations of CLT and M3D-C1 are totally different, we find that the simulation results of the resistive-kink mode and the \(m/n = 2/1\) tearing mode from M3D-C1 and CLT are almost the same, including the linear and nonlinear growth rates, the mode structures, the nonlinear saturation levels, the Poincare plots, and the scaling laws. This confirms that the nonlinear results for the 1/1 resistive-kink mode and 2/1 tearing mode are accurate and reliable.

Cited in 2 Documents

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76M20 Finite difference methods applied to problems in fluid mechanics
76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
76W05 Magnetohydrodynamics and electrohydrodynamics

Keywords:

finite element method; finite difference method; single-fluid magnetohydrodynamic instability; Poincaré plot; scaling law

Software:

XTOR-2F
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Full Text: DOI Link

References:

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