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

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

doi:10.1016/j.cpc.2021.108134

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

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

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

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.

Original language	English (US)
Article number	108134
Journal	Computer Physics Communications
Volume	269
DOIs	https://doi.org/10.1016/j.cpc.2021.108134
State	Published - Dec 2021

All Science Journal Classification (ASJC) codes

Hardware and Architecture
General Physics and Astronomy

Keywords

Benchmark
Finite difference
Finite element
Magnetohydrodynamic instabilities
Resistive kink mode
Tearing mode

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10.1016/j.cpc.2021.108134

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title = "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",

abstract = "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.",

keywords = "Benchmark, Finite difference, Finite element, Magnetohydrodynamic instabilities, Resistive kink mode, Tearing mode",

author = "W. Zhang and Jardin, \{S. C.\} and Ma, \{Z. W.\} and A. Kleiner and Zhang, \{H. W.\}",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier B.V.",

year = "2021",

month = dec,

doi = "10.1016/j.cpc.2021.108134",

language = "English (US)",

volume = "269",

journal = "Computer Physics Communications",

issn = "0010-4655",

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TY - JOUR

T1 - 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

AU - Zhang, W.

AU - Jardin, S. C.

AU - Ma, Z. W.

AU - Kleiner, A.

AU - Zhang, H. W.

PY - 2021/12

Y1 - 2021/12

N2 - 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.

AB - 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.

KW - Benchmark

KW - Finite difference

KW - Finite element

KW - Magnetohydrodynamic instabilities

KW - Resistive kink mode

KW - Tearing mode

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DO - 10.1016/j.cpc.2021.108134

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JO - Computer Physics Communications

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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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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