Erratum: “Nonlinear modeling of forced magnetic reconnection in slab geometry with NIMROD” [Phys. Plasmas 24, 052508 (2017)]

Journal Article · 02 April 2018 · Physics of Plasmas

DOI: https://doi.org/10.1063/1.5029935 · OSTI ID:1544300

Beidler, M. T.  ^[1]; Callen, J. D. ^[1]; Hegna, C. C.  ^[1]; Sovinec, C. R. ^[1]

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1. Univ. of Wisconsin, Madison, WI (United States). Dept. of Engineering Physics

The linear layer response time is evaluated inappropriately in Ref. 1. This affects analytic predictions for linear and quasilinear magnetic field penetration due to a resonant, externally applied field according to Eqs. (14) and (19) of Ref. 1, respectively. The linear layer response time for the visco-resistive regime is given according to Ref. 2 as $$τ_{VR}$$ =2.104$$τ_{shA}$$S$$^{2/3}_{sh}$$P$$^{1/6}_{m}$$, where $$τ_{shA}$$ ≡ $$τ_A$$/$$k_ya$$ is the local shear Alfvén time at the rational surface (called the local hydromagnetic time $$τ_H$$ in Ref. 2) and S_sh=$$Sk_ya$$ is the local Lundquist number. However, Ref. 1 inadvertently omits the factor of $$k_y$$a in $$τ_{shA}$$, evaluating $$τ_{VR}$$ using the Alfvén time τA based on the sheared magnetic field strength at the computation boundary. The proper evaluation of $$τ_{VR}$$ results in a linear layer response time that is ($$k_ya$$) ^1/3=π^-1/3≃0.68 shorter than that in Ref. 1. The value of the time $$τ'_{VR}$$ used to predict quasilinear equilibria according to Eq. (19) is shorter by the same factor. Using the correct value of $$τ_{VR}$$ has a direct effect on analytic predictions for the magnitude and phase of the linear penetrated field, consistent with Eq. (14) in Ref. 1. Figure 1 replaces Fig. 5 of Ref. 1, exhibiting even better agreement between NIMROD computations and analytic predictions. The highest percent difference in penetrated field magnitude is 11% and in phase is 8%.

• Research Organization: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
• Sponsoring Organization: USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
• Grant/Contract Number: FG02-86ER53218; FG02-92ER54139; SC0014664
• OSTI ID: 1544300
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 4 Vol. 25; ISSN 1070-664X
• Publisher: American Institute of Physics (AIP)Copyright Statement
• Country of Publication: United States
• Language: English