skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Gyrokinetic continuum simulation of turbulence in a straight open-field-line plasma

Abstract

Here, five-dimensional gyrokinetic continuum simulations of electrostatic plasma turbulence in a straight, open-field-line geometry have been performed using a full- discontinuous-Galerkin approach implemented in the Gkeyll code. While various simplifications have been used for now, such as long-wavelength approximations in the gyrokinetic Poisson equation and the Hamiltonian, these simulations include the basic elements of a fusion-device scrape-off layer: localised sources to model plasma outflow from the core, cross-field turbulent transport, parallel flow along magnetic field lines, and parallel losses at the limiter or divertor with sheath-model boundary conditions. The set of sheath-model boundary conditions used in the model allows currents to flow through the walls. In addition to details of the numerical approach, results from numerical simulations of turbulence in the Large Plasma Device, a linear device featuring straight magnetic field lines, are presented.

Authors:
ORCiD logo [1];  [2];  [1];  [2]
  1. Princeton Univ., Princeton, NJ (United States)
  2. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1373725
Grant/Contract Number:  
AC02-09CH11466
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Plasma Physics
Additional Journal Information:
Journal Volume: 83; Journal Issue: 03; Journal ID: ISSN 0022-3778
Publisher:
Cambridge University Press
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; plasma heat loss; plasma sheaths; plasma simulation

Citation Formats

Shi, E. L., Hammett, G. W., Stoltzfus-Dueck, T., and Hakim, A. Gyrokinetic continuum simulation of turbulence in a straight open-field-line plasma. United States: N. p., 2017. Web. doi:10.1017/S002237781700037X.
Shi, E. L., Hammett, G. W., Stoltzfus-Dueck, T., & Hakim, A. Gyrokinetic continuum simulation of turbulence in a straight open-field-line plasma. United States. doi:10.1017/S002237781700037X.
Shi, E. L., Hammett, G. W., Stoltzfus-Dueck, T., and Hakim, A. Mon . "Gyrokinetic continuum simulation of turbulence in a straight open-field-line plasma". United States. doi:10.1017/S002237781700037X. https://www.osti.gov/servlets/purl/1373725.
@article{osti_1373725,
title = {Gyrokinetic continuum simulation of turbulence in a straight open-field-line plasma},
author = {Shi, E. L. and Hammett, G. W. and Stoltzfus-Dueck, T. and Hakim, A.},
abstractNote = {Here, five-dimensional gyrokinetic continuum simulations of electrostatic plasma turbulence in a straight, open-field-line geometry have been performed using a full- discontinuous-Galerkin approach implemented in the Gkeyll code. While various simplifications have been used for now, such as long-wavelength approximations in the gyrokinetic Poisson equation and the Hamiltonian, these simulations include the basic elements of a fusion-device scrape-off layer: localised sources to model plasma outflow from the core, cross-field turbulent transport, parallel flow along magnetic field lines, and parallel losses at the limiter or divertor with sheath-model boundary conditions. The set of sheath-model boundary conditions used in the model allows currents to flow through the walls. In addition to details of the numerical approach, results from numerical simulations of turbulence in the Large Plasma Device, a linear device featuring straight magnetic field lines, are presented.},
doi = {10.1017/S002237781700037X},
journal = {Journal of Plasma Physics},
number = 03,
volume = 83,
place = {United States},
year = {2017},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 5 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Progress in Kinetic Simulation of Edge Plasmas
journal, March 2008


Two-fluid biasing simulations of the large plasma device
journal, February 2017

  • Fisher, Dustin M.; Rogers, Barrett N.
  • Physics of Plasmas, Vol. 24, Issue 2
  • DOI: 10.1063/1.4975616

Plasma–wall transition in an oblique magnetic field
journal, January 1982


Continuum kinetic and multi-fluid simulations of classical sheaths
journal, February 2017

  • Cagas, P.; Hakim, A.; Juno, J.
  • Physics of Plasmas, Vol. 24, Issue 2
  • DOI: 10.1063/1.4976544

A mass, momentum, and energy conserving, fully implicit, scalable algorithm for the multi-dimensional, multi-species Rosenbluth–Fokker–Planck equation
journal, September 2015


High- and Low-Confinement Modes in Simple Magnetized Toroidal Plasmas
journal, June 2008


Positivity Preservation and Advection Algorithms with Applications to Edge Plasma Turbulence
journal, January 2013

  • Peterson, J. L.; Hammett, G. W.
  • SIAM Journal on Scientific Computing, Vol. 35, Issue 3
  • DOI: 10.1137/120888053

Gyrokinetic equations for strong-gradient regions
journal, February 2012


Equivalence of two independent calculations of the higher order guiding center Lagrangian
journal, October 2014

  • Parra, F. I.; Calvo, I.; Burby, J. W.
  • Physics of Plasmas, Vol. 21, Issue 10
  • DOI: 10.1063/1.4897317

A tracking method for gas flow into vacuum based on the vacuum Riemann problem
journal, June 1994


Hermes: global plasma edge fluid turbulence simulations
journal, April 2017


Landau fluid models of collisionless magnetohydrodynamics
journal, November 1997

  • Snyder, P. B.; Hammett, G. W.; Dorland, W.
  • Physics of Plasmas, Vol. 4, Issue 11
  • DOI: 10.1063/1.872517

Phase-space Lagrangian derivation of electrostatic gyrokinetics in general geometry
journal, February 2011


The upgraded Large Plasma Device, a machine for studying frontier basic plasma physics
journal, February 2016

  • Gekelman, W.; Pribyl, P.; Lucky, Z.
  • Review of Scientific Instruments, Vol. 87, Issue 2
  • DOI: 10.1063/1.4941079

Intermittent Turbulence in the Linear VINETA Device
journal, March 2008

  • Kervalishvili, G. N.; Kleiber, R.; Schneider, R.
  • Contributions to Plasma Physics, Vol. 48, Issue 1-3
  • DOI: 10.1002/ctpp.200810005

The GBS code for tokamak scrape-off layer simulations
journal, June 2016


Turbulence Phase Space in Simple Magnetized Toroidal Plasmas
journal, April 2010


Self-consistent treatment of the sheath boundary conditions by introducing anisotropic ion temperatures and virtual divertor model
journal, April 2016

  • Togo, Satoshi; Takizuka, Tomonori; Nakamura, Makoto
  • Journal of Computational Physics, Vol. 310
  • DOI: 10.1016/j.jcp.2016.01.011

Discontinuous Galerkin for Diffusion
conference, June 2012

  • van Leer, Bram; Nomura, Shohei
  • 17th AIAA Computational Fluid Dynamics Conference
  • DOI: 10.2514/6.2005-5108

Intermittent turbulence and turbulent structures in a linear magnetized plasma
journal, January 2006


Strong Stability-Preserving High-Order Time Discretization Methods
journal, January 2001


The island coalescence problem: Scaling of reconnection in extended fluid models including higher-order moments
journal, November 2015

  • Ng, Jonathan; Huang, Yi-Min; Hakim, Ammar
  • Physics of Plasmas, Vol. 22, Issue 11
  • DOI: 10.1063/1.4935302

2-D Fluid Transport Simulations of Gaseous/Radiative Divertors
journal, January 1994

  • Rognlien, T. D.; Brown, P. N.; Campbell, R. B.
  • Contributions to Plasma Physics, Vol. 34, Issue 2-3
  • DOI: 10.1002/ctpp.2150340241

Comparisons and physics basis of tokamak transport models and turbulence simulations
journal, March 2000

  • Dimits, A. M.; Bateman, G.; Beer, M. A.
  • Physics of Plasmas, Vol. 7, Issue 3
  • DOI: 10.1063/1.873896

Three-dimensional global fluid simulations of cylindrical magnetized plasmas
journal, January 2008

  • Naulin, V.; Windisch, T.; Grulke, O.
  • Physics of Plasmas, Vol. 15, Issue 1
  • DOI: 10.1063/1.2829603

Chapter 1: Overview and summary
journal, June 2007


A numerical instability in an ADI algorithm for gyrokinetics
journal, November 2005


Gyrokinetic full-torus simulations of ohmic tokamak plasmas in circular limiter configuration
journal, June 2016


Nonlinear instability in simulations of Large Plasma Device turbulence
journal, May 2013

  • Friedman, B.; Carter, T. A.; Umansky, M. V.
  • Physics of Plasmas, Vol. 20, Issue 5
  • DOI: 10.1063/1.4805084

The Gyrokinetic Description of Microturbulence in Magnetized Plasmas
journal, January 2012


A High-Order Discontinuous Galerkin Method for 2D Incompressible Flows
journal, May 2000

  • Liu, Jian-Guo; Shu, Chi-Wang
  • Journal of Computational Physics, Vol. 160, Issue 2
  • DOI: 10.1006/jcph.2000.6475

A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
journal, September 2008

  • Dumbser, Michael; Balsara, Dinshaw S.; Toro, Eleuterio F.
  • Journal of Computational Physics, Vol. 227, Issue 18
  • DOI: 10.1016/j.jcp.2008.05.025

BOUT++: A framework for parallel plasma fluid simulations
journal, September 2009


A Suitable Boundary Condition for Bounded Plasma Simulation without Sheath Resolution
journal, January 1993

  • Parker, S. E.; Procassini, R. J.; Birdsall, C. K.
  • Journal of Computational Physics, Vol. 104, Issue 1
  • DOI: 10.1006/jcph.1993.1005

A very general electromagnetic gyrokinetic formalism
journal, September 2016

  • McMillan, B. F.; Sharma, A.
  • Physics of Plasmas, Vol. 23, Issue 9
  • DOI: 10.1063/1.4960975

BOUT++: Recent and current developments
journal, October 2014


Edge turbulence measurements in toroidal fusion devices
journal, June 2007


Three-dimensional computation of drift Alfvén turbulence
journal, October 1997


Study of ion turbulent transport and profile formations using global gyrokinetic full- f Vlasov simulation
journal, May 2009


On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
journal, November 2010


Heuristic drift-based model of the power scrape-off width in low-gas-puff H-mode tokamaks
journal, December 2011


Foundations of nonlinear gyrokinetic theory
journal, April 2007


A new hybrid-Lagrangian numerical scheme for gyrokinetic simulation of tokamak edge plasma
journal, June 2016


Design, construction, and properties of the large plasma research device−The LAPD at UCLA
journal, December 1991

  • Gekelman, W.; Pfister, H.; Lucky, Z.
  • Review of Scientific Instruments, Vol. 62, Issue 12
  • DOI: 10.1063/1.1142175

Scrape-Off Layer Turbulence Theory and Simulations
journal, January 1998


Scaling of the tokamak near the scrape-off layer H-mode power width and implications for ITER
journal, August 2013


Modification of Turbulent Transport with Continuous Variation of Flow Shear in the Large Plasma Device
journal, September 2012


Gyrokinetic particle simulation model
journal, September 1987


ITER predictions using the GYRO verified and experimentally validated trapped gyro-Landau fluid transport model
journal, June 2011


Low-Frequency Turbulence in a Linear Magnetized Plasma
journal, June 2010


Gyrofluid turbulence models with kinetic effects
journal, March 1993

  • Dorland, W.; Hammett, G. W.
  • Physics of Fluids B: Plasma Physics, Vol. 5, Issue 3
  • DOI: 10.1063/1.860934

Quantitative predictions of tokamak energy confinement from first‐principles simulations with kinetic effects
journal, June 1995

  • Kotschenreuther, M.; Dorland, W.; Beer, M. A.
  • Physics of Plasmas, Vol. 2, Issue 6
  • DOI: 10.1063/1.871261

Plasma Oscillations with Diffusion in Velocity Space
journal, December 1958


Turbulence and transport suppression scaling with flow shear on the Large Plasma Device
journal, May 2013

  • Schaffner, D. A.; Carter, T. A.; Rossi, G. D.
  • Physics of Plasmas, Vol. 20, Issue 5
  • DOI: 10.1063/1.4804637

Gyrokinetic treatment of a grazing angle magnetic presheath
journal, January 2017


Gyrokinetic field theory
journal, February 2000


A gyrokinetic one-dimensional scrape-off layer model of an edge-localized mode heat pulse
journal, February 2015

  • Shi, E. L.; Hakim, A. H.; Hammett, G. W.
  • Physics of Plasmas, Vol. 22, Issue 2
  • DOI: 10.1063/1.4907160

Continuum kinetic modeling of the tokamak plasma edge
journal, May 2016

  • Dorf, M. A.; Dorr, M. R.; Hittinger, J. A.
  • Physics of Plasmas, Vol. 23, Issue 5
  • DOI: 10.1063/1.4943106

A stabilized Runge–Kutta–Legendre method for explicit super-time-stepping of parabolic and mixed equations
journal, January 2014

  • Meyer, Chad D.; Balsara, Dinshaw S.; Aslam, Tariq D.
  • Journal of Computational Physics, Vol. 257
  • DOI: 10.1016/j.jcp.2013.08.021

Discontinuous Galerkin method based on non-polynomial approximation spaces
journal, October 2006


Tokamak turbulence computations on closed and open magnetic flux surfaces
journal, September 2005


Plasma Edge Physics with B2-Eirene
journal, February 2006

  • Schneider, R.; Bonnin, X.; Borrass, K.
  • Contributions to Plasma Physics, Vol. 46, Issue 1-2
  • DOI: 10.1002/ctpp.200610001

Modeling of plasma turbulence and transport in the Large Plasma Device
journal, December 2010

  • Popovich, P.; Umansky, M. V.; Carter, T. A.
  • Physics of Plasmas, Vol. 17, Issue 12
  • DOI: 10.1063/1.3527987

Analysis of plasma instabilities and verification of the BOUT code for the Large Plasma Device
journal, October 2010

  • Popovich, P.; Umansky, M. V.; Carter, T. A.
  • Physics of Plasmas, Vol. 17, Issue 10
  • DOI: 10.1063/1.3500283

Gyro-fluid and two-fluid theory and simulations of edge-localized-modes
journal, May 2013

  • Xu, X. Q.; Xi, P. W.; Dimits, A.
  • Physics of Plasmas, Vol. 20, Issue 5
  • DOI: 10.1063/1.4801746

Energy dynamics in a simulation of LAPD turbulence
journal, October 2012

  • Friedman, B.; Carter, T. A.; Umansky, M. V.
  • Physics of Plasmas, Vol. 19, Issue 10
  • DOI: 10.1063/1.4759010

Boundary conditions for plasma fluid models at the magnetic presheath entrance
journal, December 2012

  • Loizu, J.; Ricci, P.; Halpern, F. D.
  • Physics of Plasmas, Vol. 19, Issue 12
  • DOI: 10.1063/1.4771573

Energetic consistency and momentum conservation in the gyrokinetic description of tokamak plasmas
journal, November 2010

  • Scott, B.; Smirnov, J.
  • Physics of Plasmas, Vol. 17, Issue 11
  • DOI: 10.1063/1.3507920

Modeling of large amplitude plasma blobs in three-dimensions
journal, January 2014

  • Angus, Justin R.; Umansky, Maxim V.
  • Physics of Plasmas, Vol. 21, Issue 1
  • DOI: 10.1063/1.4863503

Turbulent regimes in the tokamak scrape-off layer
journal, September 2013

  • Mosetto, Annamaria; Halpern, Federico D.; Jolliet, Sébastien
  • Physics of Plasmas, Vol. 20, Issue 9
  • DOI: 10.1063/1.4821597

Kinetic simulations of scrape-off layer physics in the DIII-D tokamak
journal, August 2017


Compressed ion temperature gradient turbulence in diverted tokamak edge
journal, May 2009

  • Chang, C. S.; Ku, S.; Diamond, P. H.
  • Physics of Plasmas, Vol. 16, Issue 5
  • DOI: 10.1063/1.3099329

Fully electromagnetic nonlinear gyrokinetic equations for tokamak edge turbulence
journal, February 2009

  • Hahm, T. S.; Wang, Lu; Madsen, J.
  • Physics of Plasmas, Vol. 16, Issue 2
  • DOI: 10.1063/1.3073671