Nonlinear Simulations of Peeling-Ballooning Modes with Anomalous Electron Viscosity and their Role in Edge Localized Mode Crashes

Xu, X Q; Umansky, M V; Dudson, B; Wilson, H; Snyder, P B

doi:10.1103/PHYSREVLETT.105.175005

Title: Nonlinear Simulations of Peeling-Ballooning Modes with Anomalous Electron Viscosity and their Role in Edge Localized Mode Crashes

Journal Article · Fri Oct 22 00:00:00 EDT 2010 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.105.175005· OSTI ID:21467041

Xu, X Q; Umansky, M V ^[1]; Dudson, B; Wilson, H ^[2]; Snyder, P B ^[3]

Lawrence Livermore National Laboratory, Livermore, California 94550 (United States)
University of York, Heslington, York YO10 5DD (United Kingdom)
General Atomics, San Diego, California 92186 (United States)

A minimum set of equations based on the peeling-ballooning (P-B) model with nonideal physics effects (diamagnetic drift, ExB drift, resistivity, and anomalous electron viscosity) is found to simulate pedestal collapse when using the new BOUT++ simulation code, developed in part from the original fluid edge code BOUT. Nonlinear simulations of P-B modes demonstrate that the P-B modes trigger magnetic reconnection, which leads to the pedestal collapse. With the addition of a model of the anomalous electron viscosity under the assumption that the electron viscosity is comparable to the anomalous electron thermal diffusivity, it is found from simulations using a realistic high-Lundquist number that the pedestal collapse is limited to the edge region and the edge localized mode (ELM) size is about 5%-10% of the pedestal stored energy. This is consistent with many observations of large ELMs.

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OSTI ID:: 21467041

Journal Information:: Physical Review Letters, Vol. 105, Issue 17; Other Information: DOI: 10.1103/PhysRevLett.105.175005; (c) 2010 American Institute of Physics; ISSN 0031-9007

Country of Publication:: United States

Language:: English

References (10)

BOUT++: A framework for parallel plasma fluid simulations Dudson, B. D.; Umansky, M. V.; Xu, X. Q. Computer Physics Communications, Vol. 180, Issue 9 https://doi.org/10.1016/j.cpc.2009.03.008	journal	September 2009
Edge localized modes and the pedestal: A model based on coupled peeling–ballooning modes Snyder, P. B.; Wilson, H. R.; Ferron, J. R. Physics of Plasmas, Vol. 9, Issue 5 https://doi.org/10.1063/1.1449463	journal	May 2002
Numerical studies of edge localized instabilities in tokamaks Wilson, H. R.; Snyder, P. B.; Huysmans, G. T. A. Physics of Plasmas, Vol. 9, Issue 4 https://doi.org/10.1063/1.1459058	journal	April 2002
Progress in the peeling-ballooning model of edge localized modes: Numerical studies of nonlinear dynamics Snyder, P. B.; Wilson, H. R.; Xu, X. Q. Physics of Plasmas, Vol. 12, Issue 5 https://doi.org/10.1063/1.1873792	journal	May 2005
Edge localized linear ideal magnetohydrodynamic instability studies in an extended-magnetohydrodynamic code Burke, B. J.; Kruger, S. E.; Hegna, C. C. Physics of Plasmas, Vol. 17, Issue 3 https://doi.org/10.1063/1.3309732	journal	March 2010
Analysis of the current‐diffusive ballooning mode Yagi, M.; Itoh, K.; Itoh, S. ‐I. Physics of Fluids B: Plasma Physics, Vol. 5, Issue 10 https://doi.org/10.1063/1.860841	journal	October 1993
Pedestal stability comparison and ITER pedestal prediction Snyder, P. B.; Aiba, N.; Beurskens, M. Nuclear Fusion, Vol. 49, Issue 8 https://doi.org/10.1088/0029-5515/49/8/085035	journal	July 2009
Confinement studies in L and H-type Asdex discharges Keilhacker, M.; Becker, G.; Bernhardi, K. Plasma Physics and Controlled Fusion, Vol. 26, Issue 1A https://doi.org/10.1088/0741-3335/26/1a/305	journal	January 1984
Characteristics of type I ELM energy and particle losses in existing devices and their extrapolation to ITER Loarte, A.; Saibene, G.; Sartori, R. Plasma Physics and Controlled Fusion, Vol. 45, Issue 9 https://doi.org/10.1088/0741-3335/45/9/302	journal	August 2003
Tearing modes in a plasma with magnetic braiding Kaw, P. K.; Valeo, E. J.; Rutherford, P. H. https://doi.org/10.2172/6244004	report	July 1979

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Title: Nonlinear Simulations of Peeling-Ballooning Modes with Anomalous Electron Viscosity and their Role in Edge Localized Mode Crashes

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