Fluid and gyrokinetic turbulence in open field-line, helical plasmas

Francisquez, M.; Bernard, T. N.; Zhu, B.; Hakim, A.; Rogers, B. N.; Hammett, G. W.

doi:10.1063/5.0005333

Title: Fluid and gyrokinetic turbulence in open field-line, helical plasmas

Authors:

^[1];

^[2];

^[3]; Hakim, A. ^[4]; Rogers, B. N. ^[5];

^[4]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
General Atomics, San Diego, CA (United States); Univ. of Texas, Austin, TX (United States)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Dartmouth College, Hanover, NH (United States)

Publication Date:: Mon Aug 03 00:00:00 EDT 2020

Research Org.:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA); US Air Force Office of Scientific Research (AFOSR)

OSTI Identifier:: 1647927

Alternate Identifier(s):: OSTI ID: 1644372; OSTI ID: 1668790

Report Number(s):: LLNL-JRNL-805473; 2020_246
Journal ID: ISSN 1070-664X; 1010487; TRN: US2203006

Grant/Contract Number:: AC52-07NA27344; DOE-SC-0010508; FC02-08ER54966; FG02-04ER-54742; FG02-95ER54309; AC02-09CH11466; FA9550-15-1-0193

Resource Type:: Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Volume: 27; Journal Issue: 8; Journal ID: ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Frequency spectrum; Thermal conductivity; Probability theory; Gyrokinetic simulations; Plasma properties and parameters; Plasma sheaths; Equations of fluid dynamics; Computational fluid dynamics; Magnetic fields; Tokamaks

Citation Formats


                    Francisquez, M., Bernard, T. N., Zhu, B., Hakim, A., Rogers, B. N., and Hammett, G. W. Fluid and gyrokinetic turbulence in open field-line, helical plasmas.  United States: N. p., 2020. 
Web.  doi:10.1063/5.0005333.

Copy to clipboard


                    Francisquez, M., Bernard, T. N., Zhu, B., Hakim, A., Rogers, B. N., & Hammett, G. W. Fluid and gyrokinetic turbulence in open field-line, helical plasmas.  United States.  https://doi.org/10.1063/5.0005333

Copy to clipboard


                    Francisquez, M., Bernard, T. N., Zhu, B., Hakim, A., Rogers, B. N., and Hammett, G. W. Mon .  
"Fluid and gyrokinetic turbulence in open field-line, helical plasmas".  United States.  https://doi.org/10.1063/5.0005333.  https://www.osti.gov/servlets/purl/1647927.

Copy to clipboard


                    
@article{osti_1647927,

  title        = {Fluid and gyrokinetic turbulence in open field-line, helical plasmas},

  author       = {Francisquez, M. and Bernard, T. N. and Zhu, B. and Hakim, A. and Rogers, B. N. and Hammett, G. W.},

  abstractNote = {},

  doi          = {10.1063/5.0005333},

  journal      = {Physics of Plasmas},

  number       = 8,

  volume       = 27,

  place        = {United States},

  year         = {Mon Aug 03 00:00:00 EDT 2020},

  month        = {Mon Aug 03 00:00:00 EDT 2020}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1063/5.0005333

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 10 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Comparison of 3D flux-driven scrape-off layer turbulence simulations with gas-puff imaging of Alcator C-Mod inner-wall limited discharges
journal, April 2015

Halpern, F. D.; Terry, J. L.; Zweben, S. J.
Plasma Physics and Controlled Fusion, Vol. 57, Issue 5
DOI: 10.1088/0741-3335/57/5/054005

Understanding narrow SOL power flux component in COMPASS limiter plasmas by use of Langmuir probes
journal, August 2015

Dejarnac, R.; Stangeby, P. C.; Goldston, R. J.
Journal of Nuclear Materials, Vol. 463
DOI: 10.1016/j.jnucmat.2014.12.100

Blob birth and transport in the tokamak edge plasma: Analysis of imaging data
journal, September 2006

Myra, J. R.; D’Ippolito, D. A.; Stotler, D. P.
Physics of Plasmas, Vol. 13, Issue 9
DOI: 10.1063/1.2355668

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
DOI: 10.1016/j.cpc.2009.03.008

Global 3D Braginskii simulations of the tokamak edge region of IWL discharges
journal, August 2017

Francisquez, M.; Zhu, B.; Rogers, B. N.
Nuclear Fusion, Vol. 57, Issue 11
DOI: 10.1088/1741-4326/aa7f23

Gyrokinetic continuum simulations of plasma turbulence in the Texas Helimak
journal, April 2019

Bernard, T. N.; Shi, E. L.; Gentle, K. W.
Physics of Plasmas, Vol. 26, Issue 4
DOI: 10.1063/1.5085457

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

Ricci, Paolo; Rogers, B. N.; Brunner, S.
Physical Review Letters, Vol. 100, Issue 22
DOI: 10.1103/PhysRevLett.100.225002

Eddy viscosity and hyperviscosity in spectral simulations of 2D drift wave turbulence
journal, April 1997

Smith, S. A.; Hammett, G. W.
Physics of Plasmas, Vol. 4, Issue 4
DOI: 10.1063/1.872210

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
DOI: 10.1088/1741-4326/aa7d46

Eigenfunctions and eigenvalues of the Dougherty collision operator
journal, May 2007

Anderson, M. W.; O’Neil, T. M.
Physics of Plasmas, Vol. 14, Issue 5
DOI: 10.1063/1.2727463

Gyrokinetic projection of the divertor heat-flux width from present tokamaks to ITER
journal, August 2017

Chang, C. S.; Ku, S.; Loarte, A.
Nuclear Fusion, Vol. 57, Issue 11
DOI: 10.1088/1741-4326/aa7efb

Improved boundary condition for full-f gyrokinetic simulations of circular-limited tokamak plasmas in ELMFIRE
journal, July 2018

Chôné, L.; Kiviniemi, T. P.; Leerink, S.
Contributions to Plasma Physics, Vol. 58, Issue 6-8
DOI: 10.1002/ctpp.201700185

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

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

Dudson, B. D.; Leddy, J.
Plasma Physics and Controlled Fusion, Vol. 59, Issue 5
DOI: 10.1088/1361-6587/aa63d2

Six-field two-fluid simulations of peeling–ballooning modes using BOUT++
journal, May 2013

Xia, T. Y.; Xu, X. Q.; Xi, P. W.
Nuclear Fusion, Vol. 53, Issue 7
DOI: 10.1088/0029-5515/53/7/073009

Anti-symmetric plasma moment equations with conservative discrete counterparts
journal, June 2018

Halpern, Federico D.; Waltz, Ronald E.
Physics of Plasmas, Vol. 25, Issue 6
DOI: 10.1063/1.5038110

Full- f gyrokinetic simulation of turbulence in a helical open-field-line plasma
journal, January 2019

Shi, E. L.; Hammett, G. W.; Stoltzfus-Dueck, T.
Physics of Plasmas, Vol. 26, Issue 1
DOI: 10.1063/1.5074179

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

Halpern, F. D.; Ricci, P.; Jolliet, S.
Journal of Computational Physics, Vol. 315
DOI: 10.1016/j.jcp.2016.03.040

Gyrokinetic Landau collision operator in conservative form
journal, February 2019

Pan, Qingjiang; Ernst, Darin R.
Physical Review E, Vol. 99, Issue 2
DOI: 10.1103/PhysRevE.99.023201

Collisional transport across the magnetic field in drift-fluid models
journal, March 2016

Madsen, J.; Naulin, V.; Nielsen, A. H.
Physics of Plasmas, Vol. 23, Issue 3
DOI: 10.1063/1.4943199

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

Ricci, Paolo; Rogers, B. N.
Physical Review Letters, Vol. 104, Issue 14
DOI: 10.1103/PhysRevLett.104.145001

Plasma transport and turbulence in the Helimak: Simulation and experiment
journal, August 2009

Li, B.; Rogers, B. N.; Ricci, P.
Physics of Plasmas, Vol. 16, Issue 8
DOI: 10.1063/1.3212591

Theory of the scrape-off layer width in inner-wall limited tokamak plasmas
journal, March 2014

Halpern, F. D.; Ricci, P.; Jolliet, S.
Nuclear Fusion, Vol. 54, Issue 4
DOI: 10.1088/0029-5515/54/4/043003

Anti-symmetric plasma moment equations with conservative discrete counterparts
journal, June 2018

Halpern, Federico D.; Waltz, Ronald E.
Physics of Plasmas, Vol. 25, Issue 6
DOI: 10.1063/1.5038110

GRILLIX: a 3D turbulence code based on the flux-coordinate independent approach
journal, January 2018

Stegmeir, Andreas; Coster, David; Ross, Alexander
Plasma Physics and Controlled Fusion, Vol. 60, Issue 3
DOI: 10.1088/1361-6587/aaa373

Global turbulence simulations of the tokamak edge region with GRILLIX
journal, May 2019

Stegmeir, A.; Ross, A.; Body, T.
Physics of Plasmas, Vol. 26, Issue 5
DOI: 10.1063/1.5089864

ELM transport in the JET scrape-off layer
journal, October 2007

Pitts, R. A.; Andrew, P.; Arnoux, G.
Nuclear Fusion, Vol. 47, Issue 11
DOI: 10.1088/0029-5515/47/11/005

Full- f version of GENE for turbulence in open-field-line systems
journal, June 2018

Pan, Q.; Told, D.; Shi, E. L.
Physics of Plasmas, Vol. 25, Issue 6
DOI: 10.1063/1.5008895

A 5D gyrokinetic full- $f$ global semi-Lagrangian code for flux-driven ion turbulence simulations
journal, October 2016

Grandgirard, V.; Abiteboul, J.; Bigot, J.
Computer Physics Communications, Vol. 207
DOI: 10.1016/j.cpc.2016.05.007

Multigrid treatment of implicit continuum diffusion
journal, March 2019

Francisquez, M.; Zhu, B.; Rogers, B. N.
Computer Physics Communications, Vol. 236
DOI: 10.1016/j.cpc.2018.10.022

Improved linearized model collision operator for the highly collisional regime
text, January 2019

Sugama, Hideo; Matsuoka, Seikichi; Satake, Shinsuke
arXiv
DOI: 10.48550/arxiv.1906.07427

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

Geraldini, A.; Parra, F. I.; Militello, F.
Plasma Physics and Controlled Fusion, Vol. 59, Issue 2
DOI: 10.1088/1361-6587/59/2/025015

The TOKAM3X code for edge turbulence fluid simulations of tokamak plasmas in versatile magnetic geometries
journal, September 2016

Tamain, P.; Bufferand, H.; Ciraolo, G.
Journal of Computational Physics, Vol. 321
DOI: 10.1016/j.jcp.2016.05.038

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

Understanding narrow SOL power flux component in COMPASS limiter plasmas by use of Langmuir probes
journal, August 2015

Dejarnac, R.; Stangeby, P. C.; Goldston, R. J.
Journal of Nuclear Materials, Vol. 463
DOI: 10.1016/j.jnucmat.2014.12.100

Convective transport by intermittent blob-filaments: Comparison of theory and experiment
journal, June 2011

D’Ippolito, D. A.; Myra, J. R.; Zweben, S. J.
Physics of Plasmas, Vol. 18, Issue 6
DOI: 10.1063/1.3594609

GDB: A global 3D two-fluid model of plasma turbulence and transport in the tokamak edge
journal, November 2018

Zhu, Ben; Francisquez, Manaure; Rogers, Barrett N.
Computer Physics Communications, Vol. 232
DOI: 10.1016/j.cpc.2018.06.002

Gyrokinetic full-f particle-in-cell simulations on open field lines with PICLS
journal, December 2019

Boesl, M.; Bergmann, A.; Bottino, A.
Physics of Plasmas, Vol. 26, Issue 12
DOI: 10.1063/1.5121262

Improved linearized model collision operator for the highly collisional regime
journal, October 2019

Sugama, H.; Matsuoka, S.; Satake, S.
Physics of Plasmas, Vol. 26, Issue 10
DOI: 10.1063/1.5115440

Nonlinear gyrokinetic Coulomb collision operator
journal, November 2019

Jorge, R.; Frei, B. J.; Ricci, P.
Journal of Plasma Physics, Vol. 85, Issue 6
DOI: 10.1017/S0022377819000734

Similar Records in DOE PAGES and OSTI.GOV collections:

Conservative discontinuous Galerkin scheme of a gyro-averaged Dougherty collision operator

Journal Article Francisquez, M. ; Bernard, T. N. ; Mandell, N. R. ; ... - Nuclear Fusion

Here, a conservative discontinuous Galerkin scheme for a non-linear Dougherty collision operator in full-f long-wavelength gyrokinetics is presented. Analytically this model operator has the advective-diffusive form of Fokker-Planck operators, it has a non-decreasing entropy functional, and conserves particles, momentum and energy. Discretely these conservative properties are maintained exactly as well, independent of numerical resolution. In this work the phase space discretization is performed using a novel version of the discontinuous Galerkin scheme, carefully constructed using concepts of weak equality and recovery. Discrete time advancement is carried out with an explicit time-stepping algorithm, whose stability limits we explore. The formulation andmore »« less
Cited by 14
https://doi.org/10.1088/1741-4326/aba0c9

Full Text Available
Conservative discontinuous Galerkin schemes for nonlinear Dougherty–Fokker–Planck collision operators

Journal Article Hakim, Ammar ; Francisquez, Manaure ; Juno, James ; ... - Journal of Plasma Physics

Here, we present a novel discontinuous Galerkin algorithm for the solution of a class of Fokker–Planck collision operators. These operators arise in many fields of physics, and our particular application is for kinetic plasma simulations. In particular, we focus on an operator often known as the ‘Lenard–Bernstein’ or ‘Dougherty’ operator. Several novel algorithmic innovations, based on the concept of weak equality, are reported. These weak equalities are used to define weak operators that compute primitive moments, and are also used to determine a reconstruction procedure that allows an efficient and accurate discretization of the diffusion term. We show that whenmore »« less
https://doi.org/10.1017/s0022377820000586

Full Text Available
Continuum electromagnetic gyrokinetic simulations of turbulence in the tokamak scrape-off layer and laboratory devices

Journal Article Hakim, Ammar H. ; Mandell, Noah R. ; Bernard, T. N. ; ... - Physics of Plasmas

Here, we present algorithms and results from Gkeyll, a full-f continuum, electromagnetic gyrokinetic code, designed to study turbulence in the edge region of fusion devices. The edge is computationally very challenging, requiring robust algorithms that can handle large-amplitude fluctuations and stable interactions with plasma sheaths. We present an energy-conserving high-order discontinuous Galerkin scheme that solves gyrokinetic equations in Hamiltonian form. Efficiency is improved by a careful choice of basis functions and automatically generated computation kernels. Previous verification tests were performed in the straight-field-line large plasma device [Shi et al., J. Plasma Phys. 83, 905830304 (2017)] and the Texas Helimak, a simple magnetized torus [Bernard et al., Phys. Plasmas 26, 042301 (2019)], including the effect of end-plate biasing on turbulence. Results for the scrape-off layer for NSTX parameters with a model helical magnetic geometry with bad curvature have been obtained [Shi et al., Phys. Plasmas 26, 012307 (2019)]. In this paper, we present algorithms for the two formulations of electromagnetic gyrokinetics: the Hamiltonian and the symplectic. We describe each formulation and show results of benchmark tests. Although our scheme works for the Hamiltonian formulation, the presence of spurious numerical modes for high-β and largemore »« less
Cited by 19
https://doi.org/10.1063/1.5141157

Full Text Available
Full-f gyrokinetic simulation of turbulence in a helical open-field-line plasma

Journal Article Shi, E. L. ; Hammett, G. W. ; Stoltzfus-Dueck, T. ; ... - Physics of Plasmas

Curvature-driven turbulence in a helical open-field-line plasma is investigated using electrostatic five-dimensional gyrokinetic continuum simulations in an all-bad-curvature helical-slab geometry. Parameters for a National Spherical Torus Experiment scrape-off-layer plasma are used in the model. Here, the formation and convective radial transport of plasma blobs is observed, and it is shown that the radial particle-transport levels are several times higher than diffusive Bohm-transport estimates. By reducing the strength of the poloidal magnetic field, the profile of the heat flux to the divertor plate is observed to broaden.
Cited by 15
https://doi.org/10.1063/1.5074179

Full Text Available
GDB: A global 3D two-fluid model of plasma turbulence and transport in the tokamak edge

Journal Article Zhu, Ben ; Francisquez, Manaure ; Rogers, Barrett N. - Computer Physics Communications

Here, the global drift-ballooning (GDB) code is developed to study tokamak edge low frequency turbulence and transport, and their relationship to global profile evolution. The code employs a 3D electromagnetic fluid model that does not discriminate between equilibrium and perturbative contributions, capturing arbitrary amplitude fluctuations. Primitive plasma variables, including the flow profiles, are evolved self-consistently in both closed-flux surfaces and the scrape-off-layer (SOL). A suite of numerical techniques described here handle the linear and non-linear components of the model efficiently so as to support realistic discharge parameters (such as realistic deuterium mass ratio √m_i/m_e ≈ 60) and yield good scalingmore »« less
Cited by 33
https://doi.org/10.1016/j.cpc.2018.06.002

Full Text Available

Similar Records

Title: Fluid and gyrokinetic turbulence in open field-line, helical plasmas

Citation Formats

Comparison of 3D flux-driven scrape-off layer turbulence simulations with gas-puff imaging of Alcator C-Mod inner-wall limited discharges journal, April 2015

Understanding narrow SOL power flux component in COMPASS limiter plasmas by use of Langmuir probes journal, August 2015

Blob birth and transport in the tokamak edge plasma: Analysis of imaging data journal, September 2006

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

Global 3D Braginskii simulations of the tokamak edge region of IWL discharges journal, August 2017

Gyrokinetic continuum simulations of plasma turbulence in the Texas Helimak journal, April 2019

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

Eddy viscosity and hyperviscosity in spectral simulations of 2D drift wave turbulence journal, April 1997

Edge turbulence and divertor heat flux width simulations of Alcator C-Mod discharges using an electromagnetic two-fluid model journal, August 2017

Eigenfunctions and eigenvalues of the Dougherty collision operator journal, May 2007

Gyrokinetic projection of the divertor heat-flux width from present tokamaks to ITER journal, August 2017

Improved boundary condition for full-f gyrokinetic simulations of circular-limited tokamak plasmas in ELMFIRE journal, July 2018

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

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

Six-field two-fluid simulations of peeling–ballooning modes using BOUT++ journal, May 2013

Anti-symmetric plasma moment equations with conservative discrete counterparts journal, June 2018

Full- f gyrokinetic simulation of turbulence in a helical open-field-line plasma journal, January 2019

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

Gyrokinetic Landau collision operator in conservative form journal, February 2019

Collisional transport across the magnetic field in drift-fluid models journal, March 2016

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

Plasma transport and turbulence in the Helimak: Simulation and experiment journal, August 2009

Theory of the scrape-off layer width in inner-wall limited tokamak plasmas journal, March 2014

Anti-symmetric plasma moment equations with conservative discrete counterparts journal, June 2018

GRILLIX: a 3D turbulence code based on the flux-coordinate independent approach journal, January 2018

Global turbulence simulations of the tokamak edge region with GRILLIX journal, May 2019

ELM transport in the JET scrape-off layer journal, October 2007

Full- f version of GENE for turbulence in open-field-line systems journal, June 2018

A 5D gyrokinetic full- f global semi-Lagrangian code for flux-driven ion turbulence simulations journal, October 2016

Multigrid treatment of implicit continuum diffusion journal, March 2019

Improved linearized model collision operator for the highly collisional regime text, January 2019

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

The TOKAM3X code for edge turbulence fluid simulations of tokamak plasmas in versatile magnetic geometries journal, September 2016

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

Understanding narrow SOL power flux component in COMPASS limiter plasmas by use of Langmuir probes journal, August 2015

Convective transport by intermittent blob-filaments: Comparison of theory and experiment journal, June 2011

GDB: A global 3D two-fluid model of plasma turbulence and transport in the tokamak edge journal, November 2018

Gyrokinetic full-f particle-in-cell simulations on open field lines with PICLS journal, December 2019

Improved linearized model collision operator for the highly collisional regime journal, October 2019

Nonlinear gyrokinetic Coulomb collision operator journal, November 2019

Comparison of 3D flux-driven scrape-off layer turbulence simulations with gas-puff imaging of Alcator C-Mod inner-wall limited discharges
journal, April 2015

Understanding narrow SOL power flux component in COMPASS limiter plasmas by use of Langmuir probes
journal, August 2015

Blob birth and transport in the tokamak edge plasma: Analysis of imaging data
journal, September 2006

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

Global 3D Braginskii simulations of the tokamak edge region of IWL discharges
journal, August 2017

Gyrokinetic continuum simulations of plasma turbulence in the Texas Helimak
journal, April 2019

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

Eddy viscosity and hyperviscosity in spectral simulations of 2D drift wave turbulence
journal, April 1997

Edge turbulence and divertor heat flux width simulations of Alcator C-Mod discharges using an electromagnetic two-fluid model
journal, August 2017

Eigenfunctions and eigenvalues of the Dougherty collision operator
journal, May 2007

Gyrokinetic projection of the divertor heat-flux width from present tokamaks to ITER
journal, August 2017

Improved boundary condition for full-f gyrokinetic simulations of circular-limited tokamak plasmas in ELMFIRE
journal, July 2018

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

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

Six-field two-fluid simulations of peeling–ballooning modes using BOUT++
journal, May 2013

Anti-symmetric plasma moment equations with conservative discrete counterparts
journal, June 2018

Full- f gyrokinetic simulation of turbulence in a helical open-field-line plasma
journal, January 2019

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

Gyrokinetic Landau collision operator in conservative form
journal, February 2019

Collisional transport across the magnetic field in drift-fluid models
journal, March 2016

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

Plasma transport and turbulence in the Helimak: Simulation and experiment
journal, August 2009

Theory of the scrape-off layer width in inner-wall limited tokamak plasmas
journal, March 2014

Anti-symmetric plasma moment equations with conservative discrete counterparts
journal, June 2018

GRILLIX: a 3D turbulence code based on the flux-coordinate independent approach
journal, January 2018

Global turbulence simulations of the tokamak edge region with GRILLIX
journal, May 2019

ELM transport in the JET scrape-off layer
journal, October 2007

Full- f version of GENE for turbulence in open-field-line systems
journal, June 2018

A 5D gyrokinetic full- $f$ global semi-Lagrangian code for flux-driven ion turbulence simulations
journal, October 2016

Multigrid treatment of implicit continuum diffusion
journal, March 2019

Improved linearized model collision operator for the highly collisional regime
text, January 2019

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

The TOKAM3X code for edge turbulence fluid simulations of tokamak plasmas in versatile magnetic geometries
journal, September 2016

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

Understanding narrow SOL power flux component in COMPASS limiter plasmas by use of Langmuir probes
journal, August 2015

Convective transport by intermittent blob-filaments: Comparison of theory and experiment
journal, June 2011

GDB: A global 3D two-fluid model of plasma turbulence and transport in the tokamak edge
journal, November 2018

Gyrokinetic full-f particle-in-cell simulations on open field lines with PICLS
journal, December 2019

Improved linearized model collision operator for the highly collisional regime
journal, October 2019

Nonlinear gyrokinetic Coulomb collision operator
journal, November 2019