Calculation of two-dimension radial electric field in boundary plasmas by using BOUT++
Abstract
The steady state radial electric field (Er) is measured by coupling a plasma transport model with the quasi-neutrality constraint and the vorticity equation within the BOUT++ framework. Due to the experimentally measured plasma density and temperature profiles in Alcator C-Mod discharges, the effective radial particle and heat diffusivities are inferred from the set of plasma transport equations. The effective diffusivities are then extended into the scrape-off layer (SOL) to calculate the plasma density, temperature and flow profiles across the separatrix into the SOL with the electrostatic sheath boundary conditions (SBC) applied on the divertor plates. Given these diffusivities, the electric field can be calculated self-consistently across the separatrix from the vorticity equation with SBC coupled to the plasma transport equations. The sheath boundary conditions act to generate a large and positive Er in the SOL, which is consistent with experimental measurements. The effect of magnetic particle drifts is shown to play a significant role on local particle transport and Er by inducing a net particle flow in both the edge and SOL regions.
- Authors:
-
- Dalian Univ. of Technology (China); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Chinese Academy of Sciences (CAS), Hefei (China)
- Dalian Univ. of Technology (China)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Fusion Energy Sciences (FES); National Natural Science Foundation of China (NSFC)
- OSTI Identifier:
- 1566019
- Alternate Identifier(s):
- OSTI ID: 1548560
- Report Number(s):
- LLNL-JRNL-737785
Journal ID: ISSN 0010-4655; 890841; TRN: US2000957
- Grant/Contract Number:
- AC52-07NA27344; FG02-97ER54392
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Computer Physics Communications
- Additional Journal Information:
- Journal Volume: 228; Journal Issue: C; Journal ID: ISSN 0010-4655
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Radial electric field; Tokamak boundary plasma transport; BOUT++
Citation Formats
Li, N. M., Xu, X. Q., Rognlien, T. D., Gui, B., Sun, J. Z., and Wang, D. Z. Calculation of two-dimension radial electric field in boundary plasmas by using BOUT++. United States: N. p., 2018.
Web. doi:10.1016/j.cpc.2018.03.003.
Li, N. M., Xu, X. Q., Rognlien, T. D., Gui, B., Sun, J. Z., & Wang, D. Z. Calculation of two-dimension radial electric field in boundary plasmas by using BOUT++. United States. https://doi.org/10.1016/j.cpc.2018.03.003
Li, N. M., Xu, X. Q., Rognlien, T. D., Gui, B., Sun, J. Z., and Wang, D. Z. Sat .
"Calculation of two-dimension radial electric field in boundary plasmas by using BOUT++". United States. https://doi.org/10.1016/j.cpc.2018.03.003. https://www.osti.gov/servlets/purl/1566019.
@article{osti_1566019,
title = {Calculation of two-dimension radial electric field in boundary plasmas by using BOUT++},
author = {Li, N. M. and Xu, X. Q. and Rognlien, T. D. and Gui, B. and Sun, J. Z. and Wang, D. Z.},
abstractNote = {The steady state radial electric field (Er) is measured by coupling a plasma transport model with the quasi-neutrality constraint and the vorticity equation within the BOUT++ framework. Due to the experimentally measured plasma density and temperature profiles in Alcator C-Mod discharges, the effective radial particle and heat diffusivities are inferred from the set of plasma transport equations. The effective diffusivities are then extended into the scrape-off layer (SOL) to calculate the plasma density, temperature and flow profiles across the separatrix into the SOL with the electrostatic sheath boundary conditions (SBC) applied on the divertor plates. Given these diffusivities, the electric field can be calculated self-consistently across the separatrix from the vorticity equation with SBC coupled to the plasma transport equations. The sheath boundary conditions act to generate a large and positive Er in the SOL, which is consistent with experimental measurements. The effect of magnetic particle drifts is shown to play a significant role on local particle transport and Er by inducing a net particle flow in both the edge and SOL regions.},
doi = {10.1016/j.cpc.2018.03.003},
journal = {Computer Physics Communications},
number = C,
volume = 228,
place = {United States},
year = {Sat Mar 17 00:00:00 EDT 2018},
month = {Sat Mar 17 00:00:00 EDT 2018}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 13 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Physics of the L to H transition in the DIII‐D tokamak
journal, June 1990
- Burrell, K. H.; Carlstrom, T. N.; Doyle, E. J.
- Physics of Fluids B: Plasma Physics, Vol. 2, Issue 6
Physics of the L-mode to H-mode transition in tokamaks
journal, December 1992
- Burrell, K. H.; Carlstrom, T. N.; Doyle, E. J.
- Plasma Physics and Controlled Fusion, Vol. 34, Issue 13
Edge electric-field profiles of H-mode plasmas in the JFT-2M tokamak
journal, September 1990
- Ida, K.; Hidekuma, S.
- Physical Review Letters, Vol. 65, Issue 11
Radial current in a tokamak caused by a biased electrode
journal, February 1992
- Askinazi, L. G.; Golant, V. E.; Lebedev, S. V.
- Nuclear Fusion, Vol. 32, Issue 2
Suppression of Large Edge-Localized Modes in High-Confinement DIII-D Plasmas with a Stochastic Magnetic Boundary
journal, June 2004
- Evans, T. E.; Moyer, R. A.; Thomas, P. R.
- Physical Review Letters, Vol. 92, Issue 23
Suppression of large edge localized modes with edge resonant magnetic fields in high confinement DIII-D plasmas
journal, June 2005
- Evans, T. E.; Moyer, R. A.; Watkins, J. G.
- Nuclear Fusion, Vol. 45, Issue 7
Prompt toroidal momentum balance with collisionless neutral beam injected torque in DIII-D
journal, November 2006
- deGrassie, J. S.; Groebner, R. J.; Burrell, K. H.
- Physics of Plasmas, Vol. 13, Issue 11
The effect of the radial electric field on the L–H transitions in tokamaks
journal, March 1992
- Rozhansky, V.; Tendler, M.
- Physics of Fluids B: Plasma Physics, Vol. 4, Issue 7
Evolution of edge pedestal transport between edge-localized modes in DIII-D
journal, February 2015
- Floyd, J. -P.; Stacey, W. M.; Groebner, R. J.
- Physics of Plasmas, Vol. 22, Issue 2
Edge turbulence and divertor heat flux width simulations of Alcator C-Mod discharges using an electromagnetic two-fluid model
journal, August 2017
- Chen, B.; Xu, X. Q.; Xia, T. Y.
- Nuclear Fusion, Vol. 57, Issue 11
Two-dimensional electric fields and drifts near the magnetic separatrix in divertor tokamaks
journal, May 1999
- Rognlien, T. D.; Ryutov, D. D.; Mattor, N.
- Physics of Plasmas, Vol. 6, Issue 5
Plasma Edge Physics with B2-Eirene
journal, February 2006
- Schneider, R.; Bonnin, X.; Borrass, K.
- Contributions to Plasma Physics, Vol. 46, Issue 1-2
Simulation of tokamak edge plasma including self-consistent electric fields
journal, April 2001
- Rozhansky, V. A.; Voskoboynikov, S. P.; Kaveeva, E. G.
- Nuclear Fusion, Vol. 41, Issue 4
Influence of and ∇B drift terms in 2-D edge/SOL transport simulations
journal, March 1999
- Rognlien, T. D.; Porter, G. D.; Ryutov, D. D.
- Journal of Nuclear Materials, Vol. 266-269
Simulation of plasma fluxes to material surfaces with self-consistent edge turbulence and transport for tokamaks
journal, March 2005
- Rognlien, T. D.; Umansky, M. V.; Xu, X. Q.
- Journal of Nuclear Materials, Vol. 337-339
Nonlinear Simulations of Peeling-Ballooning Modes with Anomalous Electron Viscosity and their Role in Edge Localized Mode Crashes
journal, October 2010
- Xu, X. Q.; Dudson, B.; Snyder, P. B.
- Physical Review Letters, Vol. 105, Issue 17
Nonlinear ELM simulations based on a nonideal peeling–ballooning model using the BOUT++ code
journal, September 2011
- Xu, X. Q.; Dudson, B. D.; Snyder, P. B.
- Nuclear Fusion, Vol. 51, Issue 10
Simulation of edge localized modes using BOUT++
journal, April 2011
- Dudson, B. D.; Xu, X. Q.; Umansky, M. V.
- Plasma Physics and Controlled Fusion, Vol. 53, Issue 5
Influence of equilibrium shear flow on peeling-ballooning instability and edge localized mode crash
journal, September 2012
- Xi, P. W.; Xu, X. Q.; Wang, X. G.
- Physics of Plasmas, Vol. 19, Issue 9
Nonlinear Simulations of Peeling-Ballooning Modes with Parallel Velocity Perturbation
journal, June 2012
- Xia, T. Y.; Xu, X. Q.; Dudson, B. D.
- Contributions to Plasma Physics, Vol. 52, Issue 5-6
Five-field simulations of peeling-ballooning modes using BOUT++ code
journal, May 2013
- Xia, T. Y.; Xu, X. Q.
- Physics of Plasmas, Vol. 20, Issue 5
2D simulations of transport dynamics during tokamak fuelling by supersonic molecular beam injection
journal, March 2014
- Wang, Z. H.; Xu, X. Q.; Xia, T. Y.
- Nuclear Fusion, Vol. 54, Issue 4
Status and verification of edge plasma turbulence code BOUT
journal, June 2009
- Umansky, M. V.; Xu, X. Q.; Dudson, B.
- Computer Physics Communications, Vol. 180, Issue 6
BOUT++: A framework for parallel plasma fluid simulations
journal, September 2009
- Dudson, B. D.; Umansky, M. V.; Xu, X. Q.
- Computer Physics Communications, Vol. 180, Issue 9
Drift-ordered fluid equations for field-aligned modes in low-β collisional plasma with equilibrium pressure pedestals
journal, December 2003
- Simakov, Andrei N.; Catto, Peter J.
- Physics of Plasmas, Vol. 10, Issue 12
Calculation of the radial electric field with RF sheath boundary conditions in divertor geometry
journal, January 2018
- Gui, B.; Xia, T. Y.; Xu, X. Q.
- Nuclear Fusion, Vol. 58, Issue 2
Electron temperature gradient induced instability in tokamak scrape-off layers
journal, February 1993
- Berk, H. -L; Cohen, R. H.; Ryutov, D. D.
- Nuclear Fusion, Vol. 33, Issue 2
Low-to-high confinement transition simulations in divertor geometry
journal, May 2000
- Xu, X. Q.; Cohen, R. H.; Rognlien, T. D.
- Physics of Plasmas, Vol. 7, Issue 5
First results from Alcator‐C‐MOD*
journal, May 1994
- Hutchinson, I. H.; Boivin, R.; Bombarda, F.
- Physics of Plasmas, Vol. 1, Issue 5
The Alcator C-Mod Program
journal, April 2007
- Marmar, E. S.; Group, Alcator C-Mod
- Fusion Science and Technology, Vol. 51, Issue 3
Hermes: global plasma edge fluid turbulence simulations
journal, April 2017
- Dudson, B. D.; Leddy, J.
- Plasma Physics and Controlled Fusion, Vol. 59, Issue 5
Works referencing / citing this record:
Simulations of tokamak boundary plasma turbulence transport in setting the divertor heat flux width
journal, October 2019
- Xu, X. Q.; Li, N. M.; Li, Z. Y.
- Nuclear Fusion, Vol. 59, Issue 12
Simulations of divertor heat flux width using transport code with cross-field drifts under the BOUT++ framework
journal, January 2020
- Li, N. M.; Xu, X. Q.; Hughes, J. W.
- AIP Advances, Vol. 10, Issue 1
Progress towards modeling tokamak boundary plasma turbulence and understanding its role in setting divertor heat flux widths
journal, May 2018
- Chen, B.; Xu, X. Q.; Xia, T. Y.
- Physics of Plasmas, Vol. 25, Issue 5
Prediction of divertor heat flux width for ITER using BOUT++ transport and turbulence module
journal, February 2019
- Li, Ze-Yu; Xu, X. Q.; Li, Na-Mi
- Nuclear Fusion, Vol. 59, Issue 4