Nonlinear simulations of peeling-ballooning modes with anomalous electron viscosity and their role in edge localized mode crashes

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

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:1238237

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

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Univ. of York, York (United Kingdom)
General Atomics, San Diego, CA (United States)

A minimum set of equations based on the peeling-ballooning (P-B) model with nonideal physics effects (diamagnetic drift, E×B 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. Furthermore, this is consistent with many observations of large ELMs.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1238237

Report Number(s):: LLNL-JRNL-426985; PRLTAO; TRN: US1600619

Journal Information:: Physical Review Letters, Vol. 105, Issue 17; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 124 works

Citation information provided by
Web of Science

References (12)

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
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
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
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
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
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
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
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
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
Theory for Explosive Ideal Magnetohydrodynamic Instabilities in Plasmas Wilson, H.; Cowley, S. Physical Review Letters, Vol. 92, Issue 17 https://doi.org/10.1103/PhysRevLett.92.175006	journal	April 2004
Tearing Modes in a Plasma with Magnetic Braiding Kaw, P. K.; Valeo, E. J.; Rutherford, P. H. Physical Review Letters, Vol. 43, Issue 19 https://doi.org/10.1103/PhysRevLett.43.1398	journal	November 1979
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

Cited By (37)

Simulations of particle and heat fluxes in an ELMy H-mode discharge on EAST using BOUT++ code Wu, Y. B.; Xia, T. Y.; Zhong, F. C. Plasma Physics and Controlled Fusion, Vol. 60, Issue 5 https://doi.org/10.1088/1361-6587/aab52c	journal	March 2018
Simulations of tokamak boundary plasma turbulence transport in setting the divertor heat flux width Xu, X. Q.; Li, N. M.; Li, Z. Y. Nuclear Fusion, Vol. 59, Issue 12 https://doi.org/10.1088/1741-4326/ab430d	journal	October 2019
Effect of resistivity on small edge localized mode Wu, N.; Chen, S. Y.; Mou, M. L. Physics of Plasmas, Vol. 25, Issue 9 https://doi.org/10.1063/1.5038042	journal	September 2018
Impact of n = 1 field on the non-axisymmetric magnetic perturbations associated with the edge localized mode crashes in the ASDEX Upgrade tokamak Wang, Nengchao; Liang, Yunfeng; Igochine, Valentin Nuclear Fusion, Vol. 59, Issue 5 https://doi.org/10.1088/1741-4326/ab0f82	journal	March 2019
2D simulations of transport dynamics during tokamak fuelling by supersonic molecular beam injection Wang, Z. H.; Xu, X. Q.; Xia, T. Y. Nuclear Fusion, Vol. 54, Issue 4 https://doi.org/10.1088/0029-5515/54/4/043019	journal	March 2014
Numerical study of collisionless q = 1 double tearing instability in a cylindrical plasma Wei, Lai; Yang, Xuefeng; Zheng, Shu Journal of Plasma Physics, Vol. 78, Issue 6 https://doi.org/10.1017/s0022377812000554	journal	July 2012
Edge state selection by modulating E × B shearing profile in toroidally confined plasmas Zhang, Y.; Guo, Z. B.; Xu, X. Q. Physics of Plasmas, Vol. 26, Issue 5 https://doi.org/10.1063/1.5093773	journal	May 2019
Nonlinear coupling induced toroidal structure of edge localized modes Mink, A. F.; Hoelzl, M.; Wolfrum, E. Nuclear Fusion, Vol. 58, Issue 2 https://doi.org/10.1088/1741-4326/aa98f7	journal	December 2017
Impact of inward turbulence spreading on energy loss of edge-localized modesa) Ma, C. H.; Xu, X. Q.; Xi, P. W. Physics of Plasmas, Vol. 22, Issue 5 https://doi.org/10.1063/1.4920963	journal	May 2015
Edge-localized-modes in tokamaks Leonard, A. W. Physics of Plasmas, Vol. 21, Issue 9 https://doi.org/10.1063/1.4894742	journal	September 2014
Hollow pellet injection for magnetic fusion Wang, Zhehui; Hoffbauer, M. A.; Hollmann, E. M. Nuclear Fusion, Vol. 59, Issue 8 https://doi.org/10.1088/1741-4326/ab19eb	journal	June 2019
Evolution of magnetic Kubo number of stochastic magnetic fields during the edge pedestal collapse simulation Kim, Jaewook; Lee, Wonjun; Jhang, Hogun Physics of Plasmas, Vol. 25, Issue 8 https://doi.org/10.1063/1.5025687	journal	August 2018
Quasi-coherent mode simulation during inter-ELM period in HL-2A Tang, T. F.; Shi, H.; Wang, Z. H. Physics of Plasmas, Vol. 25, Issue 12 https://doi.org/10.1063/1.5050853	journal	December 2018
Impact of particle sources and plasma resistivity on edge localized modes Huang, J.; Zhou, H.; Xu, Y. Plasma Physics and Controlled Fusion, Vol. 61, Issue 2 https://doi.org/10.1088/1361-6587/aaf410	journal	January 2019
Non-ideal effects on ballooning mode stability in the presence of resonant magnetic perturbations Mou, M. L.; Jhang, Hogun; Rhee, T. Physics of Plasmas, Vol. 25, Issue 8 https://doi.org/10.1063/1.5038070	journal	August 2018
Prediction of divertor heat flux width for ITER using BOUT++ transport and turbulence module Li, Ze-Yu; Xu, X. Q.; Li, Na-Mi Nuclear Fusion, Vol. 59, Issue 4 https://doi.org/10.1088/1741-4326/ab0184	journal	February 2019
Verification of BOUT++ by the method of manufactured solutions Dudson, B. D.; Madsen, J.; Omotani, J. Physics of Plasmas, Vol. 23, Issue 6 https://doi.org/10.1063/1.4953429	journal	June 2016
Simulation of edge localized modes using BOUT++ Dudson, B. D.; Xu, X. Q.; Umansky, M. V. Plasma Physics and Controlled Fusion, Vol. 53, Issue 5 https://doi.org/10.1088/0741-3335/53/5/054005	journal	April 2011
Simulation of supersonic molecular beam injection fueling into H-mode plasmas on EAST using BOUT++ Qian, Y. Z.; Xia, T. Y.; Huang, Y. Q. Physics of Plasmas, Vol. 27, Issue 1 https://doi.org/10.1063/1.5119043	journal	January 2020
Simulations on the transient heat fluxes for the low-hybrid wave heating H-mode on EAST Xia, T. Y.; Gui, B.; Huang, Y. Q. Nuclear Fusion, Vol. 59, Issue 7 https://doi.org/10.1088/1741-4326/ab1f15	journal	June 2019
Edge-localized mode control by electron cyclotron waves in a tokamak plasma Rossel, J. X.; Moret, J. -M.; Coda, S. Nuclear Fusion, Vol. 52, Issue 3 https://doi.org/10.1088/0029-5515/52/3/032004	journal	March 2012
Global kinetic ballooning mode simulations in BOUT++ Ma, C. H.; Xu, X. Q. Nuclear Fusion, Vol. 57, Issue 1 https://doi.org/10.1088/0029-5515/57/1/016002	journal	September 2016
Divertor heat flux simulations in ELMy H-mode discharges of EAST Xia, T. Y.; Xu, X. Q.; Wu, Y. B. Nuclear Fusion, Vol. 57, Issue 11 https://doi.org/10.1088/1741-4326/aa7bba	journal	August 2017
Computational challenges in magnetic-confinement fusion physics Fasoli, A.; Brunner, S.; Cooper, W. A. Nature Physics, Vol. 12, Issue 5 https://doi.org/10.1038/nphys3744	journal	May 2016
Study of power width scaling in scrape-off layer with 2D electrostatic turbulence code based on EAST L-mode discharges Liu, X.; Nielsen, A. H.; Rasmussen, J. J. Physics of Plasmas, Vol. 26, Issue 4 https://doi.org/10.1063/1.5083063	journal	April 2019
Self-consistent simulation of transport and turbulence in tokamak edge plasma by coupling SOLPS-ITER and BOUT++ Zhang, D. R.; Chen, Y. P.; Xu, X. Q. Physics of Plasmas, Vol. 26, Issue 1 https://doi.org/10.1063/1.5084093	journal	January 2019
A first-principles predictive model of the pedestal height and width: development, testing and ITER optimization with the EPED model Snyder, P. B.; Groebner, R. J.; Hughes, J. W. Nuclear Fusion, Vol. 51, Issue 10 https://doi.org/10.1088/0029-5515/51/10/103016	journal	August 2011
Ideal MHD stability and characteristics of edge localized modes on CFETR Li, Ze-Yu; Chan, V. S.; Zhu, Yi-Ren Nuclear Fusion, Vol. 58, Issue 1 https://doi.org/10.1088/1741-4326/aa9149	journal	November 2017
Statistical study of particle flux footprint widths with tungsten divertor in EAST Liu, X.; Naulin, V.; Xu, J. C. Plasma Physics and Controlled Fusion, Vol. 61, Issue 4 https://doi.org/10.1088/1361-6587/aaf762	journal	February 2019
Linear analyses of peeling-ballooning modes in high beta pedestal plasmas Sun, C. K.; Xu, X. Q.; Ma, C. H. Physics of Plasmas, Vol. 25, Issue 8 https://doi.org/10.1063/1.5028261	journal	August 2018
E × B flow shear mitigates ballooning-driven edge-localized modes at high collisionality: experiment and simulation Kong, D. F.; Xu, X. Q.; Diamond, P. H. Nuclear Fusion, Vol. 59, Issue 1 https://doi.org/10.1088/1741-4326/aaef0c	journal	December 2018
Study on edge localized mode during plasma vertical swing in HL-2A tokamak Wu, N.; Chen, S. Y.; Mou, M. L. Physics of Plasmas, Vol. 25, Issue 10 https://doi.org/10.1063/1.5049348	journal	October 2018
The formation of blobs from a pure interchange process Zhu, P.; Sovinec, C. R.; Hegna, C. C. Physics of Plasmas, Vol. 22, Issue 2 https://doi.org/10.1063/1.4913476	journal	February 2015
Impact of bootstrap current and Landau-fluid closure on ELM crashes and transport Chen, J. G.; Xu, X. Q.; Ma, C. H. Physics of Plasmas, Vol. 25, Issue 5 https://doi.org/10.1063/1.5024681	journal	May 2018
Interplay between fluctuation driven toroidal axisymmetric flows and resistive ballooning mode turbulence Seto, H.; Xu, X. Q.; Dudson, B. D. Physics of Plasmas, Vol. 26, Issue 5 https://doi.org/10.1063/1.5086998	journal	May 2019
Verification of BOUT++ by the Method of Manufactured Solutions Dudson, Ben; Madsen, Jens; Omotani, John arXiv https://doi.org/10.48550/arxiv.1602.06747	text	January 2016
Evolution of magnetic Kubo number of stochastic magnetic fields during the edge pedestal collapse simulation Kim, Jaewook; Lee, Wonjun; Jhang, Hogun arXiv https://doi.org/10.48550/arxiv.1806.03938	text	January 2018

Similar Records

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 · OSTI ID:1238237

Xu, X Q; Umansky, M V; Dudson, B; +2 more

Nonlinear ELM simulations based on a nonideal peeling–ballooning model using the BOUT++ code

Journal Article · Fri Sep 23 00:00:00 EDT 2011 · Nuclear Fusion · OSTI ID:1238237

Xu, X. Q.; Dudson, B. D.; Snyder, P. B.; +3 more

Five-field simulations of peeling-ballooning modes using BOUT++ code

Journal Article · Wed May 15 00:00:00 EDT 2013 · Physics of Plasmas · OSTI ID:1238237

Xia, T. Y.; Xu, X. Q.

Related Subjects

70 PLASMA PHYSICS AND FUSION

Title: Nonlinear simulations of peeling-ballooning modes with anomalous electron viscosity and their role in edge localized mode crashes

Citation Formats

References (12)

Cited By (37)

Similar Records

Related Subjects