Nonlinear ELM simulations based on a nonideal peeling–ballooning model using the BOUT++ code
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 BOUT++ simulation code, developed in part from the original fluid edge code BOUT. Linear simulations of P–B modes find good agreement in growth rate and mode structure with ELITE calculations. The influence of the E × B drift, diamagnetic drift, resistivity, anomalous electron viscosity, ion viscosity and parallel thermal diffusivity on P–B modes is being studied; we find that (1) the diamagnetic drift and E × B drift stabilize the P–B mode in a manner consistent with theoretical expectations; (2) resistivity destabilizes the P–B mode, leading to resistive P–B mode; (3) anomalous electron and parallel ion viscosities destabilize the P–B mode, leading to a viscous P–B mode; (4) perpendicular ion viscosity and parallel thermal diffusivity stabilize the P–B mode. With addition of the anomalous electron viscosity under the assumption that the anomalous kinematic electron viscosity is comparable to the anomalous electron perpendicular thermal diffusivity, or the Prandtl number is close to unity, it is found from nonlinear simulations using a realistic high Lundquist number thatmore »
 Authors:

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 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Univ. of York, York (United Kingdom)
 General Atomics, San Diego, CA (United States)
 ITER Organization, St. Paul lez Durance (France)
 Publication Date:
 Report Number(s):
 LLNLJRNL464898
Journal ID: ISSN 00295515
 Grant/Contract Number:
 AC5207NA27344
 Type:
 Accepted Manuscript
 Journal Name:
 Nuclear Fusion
 Additional Journal Information:
 Journal Volume: 51; Journal Issue: 10; Journal ID: ISSN 00295515
 Publisher:
 IOP Science
 Research Org:
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION
 OSTI Identifier:
 1313556
Xu, X. Q., Dudson, B. D., Snyder, P. B., Umansky, M. V., Wilson, H. R., and Casper, T.. Nonlinear ELM simulations based on a nonideal peeling–ballooning model using the BOUT++ code. United States: N. p.,
Web. doi:10.1088/00295515/51/10/103040.
Xu, X. Q., Dudson, B. D., Snyder, P. B., Umansky, M. V., Wilson, H. R., & Casper, T.. Nonlinear ELM simulations based on a nonideal peeling–ballooning model using the BOUT++ code. United States. doi:10.1088/00295515/51/10/103040.
Xu, X. Q., Dudson, B. D., Snyder, P. B., Umansky, M. V., Wilson, H. R., and Casper, T.. 2011.
"Nonlinear ELM simulations based on a nonideal peeling–ballooning model using the BOUT++ code". United States.
doi:10.1088/00295515/51/10/103040. https://www.osti.gov/servlets/purl/1313556.
@article{osti_1313556,
title = {Nonlinear ELM simulations based on a nonideal peeling–ballooning model using the BOUT++ code},
author = {Xu, X. Q. and Dudson, B. D. and Snyder, P. B. and Umansky, M. V. and Wilson, H. R. and Casper, T.},
abstractNote = {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 BOUT++ simulation code, developed in part from the original fluid edge code BOUT. Linear simulations of P–B modes find good agreement in growth rate and mode structure with ELITE calculations. The influence of the E × B drift, diamagnetic drift, resistivity, anomalous electron viscosity, ion viscosity and parallel thermal diffusivity on P–B modes is being studied; we find that (1) the diamagnetic drift and E × B drift stabilize the P–B mode in a manner consistent with theoretical expectations; (2) resistivity destabilizes the P–B mode, leading to resistive P–B mode; (3) anomalous electron and parallel ion viscosities destabilize the P–B mode, leading to a viscous P–B mode; (4) perpendicular ion viscosity and parallel thermal diffusivity stabilize the P–B mode. With addition of the anomalous electron viscosity under the assumption that the anomalous kinematic electron viscosity is comparable to the anomalous electron perpendicular thermal diffusivity, or the Prandtl number is close to unity, it is found from nonlinear simulations using a realistic high Lundquist number that the pedestal collapse is limited to the edge region and the ELM size is about 5–10% of the pedestal stored energy. Furthermore, this is consistent with many observations of large ELMs. The estimated island size is consistent with the size of fast pedestal pressure collapse. In the stable αzones of ideal P–B modes, nonlinear simulations of viscous ballooning modes or currentdiffusive ballooning mode (CDBM) for ITER Hmode scenarios are presented.},
doi = {10.1088/00295515/51/10/103040},
journal = {Nuclear Fusion},
number = 10,
volume = 51,
place = {United States},
year = {2011},
month = {9}
}