Benchmarking NIMROD continuum kinetic formulations through the steady-state poloidal flow

Jepson, J. R.; Hegna, C. C.; Held, E. D.; Spencer, J. A.; Lyons, B. C.

doi:10.1063/5.0054978

Title: Benchmarking NIMROD continuum kinetic formulations through the steady-state poloidal flow

Journal Article · Tue Aug 03 00:00:00 EDT 2021 · Physics of Plasmas

DOI:https://doi.org/10.1063/5.0054978· OSTI ID:1849933

^[1];

^[1]; Held, E. D. ^[2]; Spencer, J. A. ^[2]; Lyons, B. C. ^[3]

Univ. of Wisconsin, Madison, WI (United States). Dept. of Engineering Physics
Utah State Univ., Logan, UT (United States). Dept. of Physics
General Atomics, San Diego, CA (United States)

In this work, continuum kinetic formulations are employed as a mechanism to include closure physics in an extended magnetohydrodynamics model. Two continuum kinetic approaches have been implemented in the plasma fluid code NIMROD [Sovinec et al., “Nonlinear magnetohydrodynamics with high-order finite elements,” J. Comput. Phys. 195, 355 (2004)] including a Chapman–Enskog-like (CEL) formulation and a more conventional df approach. Ion kinetic closure schemes are employed to describe the neoclassical flow properties in axisymmetric toroidal geometry. In particular, predictions for steady-state values of poloidal flow profiles in tokamak geometry are provided using both the df formulation and two different solution techniques for the CEL approach. These results are benchmarked against analytic theory predictions as well as results from the drift kinetic code DK4D. The continuum kinetic formulations employed here show agreement with both the analytic theory and DK4D results, and offer a novel velocity space representation involving higher-order finite elements in pitch angle.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Univ. of Wisconsin, Madison, WI (United States); General Atomics, San Diego, CA (United States); Utah State Univ., Logan, UT (United States); Univ. of California, Oakland, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-86ER53218; SC0018109; SC0018146; AC02-05CH11231

OSTI ID:: 1849933

Journal Information:: Physics of Plasmas, Vol. 28, Issue 8; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (31)

Fluid/kinetic hybrid moment description of plasmas via a Chapman–Enskog‐like approach Wang, J. P.; Callen, J. D. Physics of Fluids B: Plasma Physics, Vol. 4, Issue 5 https://doi.org/10.1063/1.860122	journal	May 1992
Nonlinear magnetohydrodynamics simulation using high-order finite elements Sovinec, C. R.; Glasser, A. H.; Gianakon, T. A. Journal of Computational Physics, Vol. 195, Issue 1 https://doi.org/10.1016/j.jcp.2003.10.004	journal	March 2004
An Eulerian gyrokinetic-Maxwell solver Candy, J.; Waltz, R. E. Journal of Computational Physics, Vol. 186, Issue 2 https://doi.org/10.1016/S0021-9991(03)00079-2	journal	April 2003
Verification of continuum drift kinetic equation solvers in NIMROD Held, E. D.; Kruger, S. E.; Ji, J. -Y. Physics of Plasmas, Vol. 22, Issue 3 https://doi.org/10.1063/1.4914165	journal	March 2015
Resistive Wall Mode Instability at Intermediate Plasma Rotation Berkery, J. W.; Sabbagh, S. A.; Betti, R. Physical Review Letters, Vol. 104, Issue 3 https://doi.org/10.1103/PhysRevLett.104.035003	journal	January 2010
Steady-state benchmarks of DK4D: A time-dependent, axisymmetric drift-kinetic equation solvera) Lyons, B. C.; Jardin, S. C.; Ramos, J. J. Physics of Plasmas, Vol. 22, Issue 5 https://doi.org/10.1063/1.4918349	journal	May 2015
Extending the collisional fluid equations into the long mean‐free‐path regime in toroidal plasmas. I. Plasma viscosity Shaing, K. C.; Spong, D. A. Physics of Fluids B: Plasma Physics, Vol. 2, Issue 6 https://doi.org/10.1063/1.859255	journal	June 1990
Neoclassical transport of impurities in tokamak plasmas Hirshman, S. P.; Sigmar, D. J. Nuclear Fusion, Vol. 21, Issue 9 https://doi.org/10.1088/0029-5515/21/9/003	journal	September 1981
A reduced resistive wall mode kinetic stability model for disruption forecasting Berkery, J. W.; Sabbagh, S. A.; Bell, R. E. Physics of Plasmas, Vol. 24, Issue 5 https://doi.org/10.1063/1.4977464	journal	May 2017
Fluid and drift-kinetic description of a magnetized plasma with low collisionality and slow dynamics orderings. II. Ion theory Ramos, J. J. Physics of Plasmas, Vol. 18, Issue 10 https://doi.org/10.1063/1.3647568	journal	October 2011
Fluid and drift-kinetic description of a magnetized plasma with low collisionality and slow dynamics orderings. I. Electron theory Ramos, J. J. Physics of Plasmas, Vol. 17, Issue 8 https://doi.org/10.1063/1.3454368	journal	August 2010
New velocity-space discretization for continuum kinetic calculations and Fokker–Planck collisions Landreman, Matt; Ernst, Darin R. Journal of Computational Physics, Vol. 243 https://doi.org/10.1016/j.jcp.2013.02.041	journal	June 2013
Time-dependent neoclassical viscosity Garcia-Perciante, A. L.; Callen, J. D.; Shaing, K. C. Physics of Plasmas, Vol. 12, Issue 5 https://doi.org/10.1063/1.1899159	journal	May 2005
Effects of poloidal and parallel flows on resistive wall mode instability in toroidally rotating plasmas Xia, Guoliang; Liu, Yueqiang; Li, L. Nuclear Fusion, Vol. 59, Issue 12 https://doi.org/10.1088/1741-4326/ab415d	journal	October 2019
Analytic expression for poloidal flow velocity in the banana regime Taguchi, M. Physics of Plasmas, Vol. 20, Issue 1 https://doi.org/10.1063/1.4789619	journal	January 2013
Erratum: “Nonlinear modeling of forced magnetic reconnection in slab geometry with NIMROD” [Phys. Plasmas 24 , 052508 (2017)] Beidler, M. T.; Callen, J. D.; Hegna, C. C. Physics of Plasmas, Vol. 25, Issue 4 https://doi.org/10.1063/1.5029935	journal	April 2018
Neoclassical tearing modes Buttery, R. J.; Günter, S.; Giruzzi, G. Plasma Physics and Controlled Fusion, Vol. 42, Issue 12B https://doi.org/10.1088/0741-3335/42/12B/306	journal	December 2000
Resolving velocity space dynamics in continuum gyrokinetics Barnes, M.; Dorland, W.; Tatsuno, T. Physics of Plasmas, Vol. 17, Issue 3 https://doi.org/10.1063/1.3313348	journal	March 2010
Interaction of tearing modes with external structures in cylindrical geometry (plasma) Fitzpatrick, R. Nuclear Fusion, Vol. 33, Issue 7 https://doi.org/10.1088/0029-5515/33/7/I08	journal	July 1993
Mode penetration induced by transient magnetic perturbations Beidler, M. T.; Callen, J. D.; Hegna, C. C. Physics of Plasmas, Vol. 25, Issue 8 https://doi.org/10.1063/1.5046076	journal	August 2018
Kinetic calculation of neoclassical transport including self-consistent electron and impurity dynamics Belli, E. A.; Candy, J. Plasma Physics and Controlled Fusion, Vol. 50, Issue 9 https://doi.org/10.1088/0741-3335/50/9/095010	journal	July 2008
The neoclassical theory of poloidal flow damping in a tokamak Morris, R. C.; Haines, M. G.; Hastie, R. J. Physics of Plasmas, Vol. 3, Issue 12 https://doi.org/10.1063/1.872068	journal	December 1996
Neoclassical tearing modes and their control La Haye, R. J. Physics of Plasmas, Vol. 13, Issue 5 https://doi.org/10.1063/1.2180747	journal	May 2006
The Boltzmann equation an d the one-fluid hydromagnetic equations in the absence of particle collisions Chew, G. F.; Goldberger, M. L.; Low, F. E. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 236, Issue 1204, p. 112-118 https://doi.org/10.1098/rspa.1956.0116	journal	July 1956
Impact of plasma poloidal rotation on resistive wall mode instability in toroidally rotating plasmas Aiba, N.; Shiraishi, J.; Tokuda, S. Physics of Plasmas, Vol. 18, Issue 2 https://doi.org/10.1063/1.3551731	journal	February 2011
The physics of neoclassical magnetohydrodynamic tearing modes Hegna, C. C. Physics of Plasmas, Vol. 5, Issue 5 https://doi.org/10.1063/1.872846	journal	May 1998
Control of Neoclassical Tearing Modes by Sawtooth Control Sauter, O.; Westerhof, E.; Mayoral, M. L. Physical Review Letters, Vol. 88, Issue 10 https://doi.org/10.1103/PhysRevLett.88.105001	journal	February 2002
Toroidal self-consistent modeling of drift kinetic effects on the resistive wall mode Liu, Yueqiang; Chu, M. S.; Chapman, I. T. Physics of Plasmas, Vol. 15, Issue 11 https://doi.org/10.1063/1.3008045	journal	November 2008
Nonlinear modeling of forced magnetic reconnection in slab geometry with NIMROD Beidler, M. T.; Callen, J. D.; Hegna, C. C. Physics of Plasmas, Vol. 24, Issue 5 https://doi.org/10.1063/1.4982814	journal	May 2017
Island bootstrap current modification of the nonlinear dynamics of the tearing mode Carrera, R.; Hazeltine, R. D.; Kotschenreuther, M. Physics of Fluids, Vol. 29, Issue 4 https://doi.org/10.1063/1.865682	journal	January 1986
An iterative metric method for solving the inverse tokamak equilibrium problem DeLucia, J.; Jardin, S. C.; Todd, A. M. M. Journal of Computational Physics, Vol. 37, Issue 2 https://doi.org/10.1016/0021-9991(80)90020-0	journal	September 1980

Similar Records

Verification of continuum drift kinetic equation solvers in NIMROD

Journal Article · Sun Mar 15 00:00:00 EDT 2015 · Physics of Plasmas · OSTI ID:1849933

Held, E. D.; Ji, J. -Y.; Kruger, S. E.; +2 more

Self-consistent hybrid neoclassical-magnetohydrodynamic simulations of axisymmetric plasmas

Thesis/Dissertation · Sat Nov 01 00:00:00 EDT 2014 · OSTI ID:1849933

Lyons, Brendan Carrick

MHD simulation on magnetic compression of field reversed configurations with NIMROD

Journal Article · Mon Mar 06 00:00:00 EST 2023 · Nuclear Fusion · OSTI ID:1849933

Ma, Y.; Zhu, P.; Rao, B.; +1 more

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Physics
Plasma confinement
Equations of fluid dynamics
Viscosity
Tokamaks
Magnetohydrodynamics
Kinetics and dynamics
Collisional processes
Computational methods
Numerical methods
Fluid flows

Title: Benchmarking NIMROD continuum kinetic formulations through the steady-state poloidal flow

Citation Formats

References (31)

Similar Records

Related Subjects