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Title: A fully-neoclassical finite-orbit-width version of the CQL3D Fokker–Planck code

Abstract

The time-dependent bounce-averaged CQL3D flux-conservative finite-difference Fokker–Planck equation (FPE) solver has been upgraded to include finite-orbit-width (FOW) capabilities which are necessary for an accurate description of neoclassical transport, losses to the walls, and transfer of particles, momentum, and heat to the scrape-off layer. The FOW modifications are implemented in the formulation of the neutral beam source, collision operator, RF quasilinear diffusion operator, and in synthetic particle diagnostics. The collisional neoclassical radial transport appears naturally in the FOW version due to the orbit-averaging of local collision coefficients coupled with transformation coefficients from local (R, Z) coordinates along each guiding-center orbit to the corresponding midplane computational coordinates, where the FPE is solved. In a similar way, the local quasilinear RF diffusion terms give rise to additional radial transport of orbits. We note that the neoclassical results are obtained for ‘full’ orbits, not dependent on a common small orbit-width approximation. Results of validation tests for the FOW version are also presented.

Authors:
;
Publication Date:
Research Org.:
CompX, Del Mar, CA (United States)
Sponsoring Org.:
USDOE Office of Fossil Energy (FE); USDOE Office of Science (SC)
OSTI Identifier:
1322416
Alternate Identifier(s):
OSTI ID: 1322417; OSTI ID: 1425971
Grant/Contract Number:  
FC02-01ER54649; SC0006614; FG02-04ER54744
Resource Type:
Published Article
Journal Name:
Plasma Physics and Controlled Fusion
Additional Journal Information:
Journal Name: Plasma Physics and Controlled Fusion Journal Volume: 58 Journal Issue: 11; Journal ID: ISSN 0741-3335
Publisher:
IOP Publishing
Country of Publication:
United Kingdom
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Fokker–Planck, bounce-averaged, finite-orbit-width, finite-difference

Citation Formats

Petrov, Yu V., and Harvey, R. W. A fully-neoclassical finite-orbit-width version of the CQL3D Fokker–Planck code. United Kingdom: N. p., 2016. Web. doi:10.1088/0741-3335/58/11/115001.
Petrov, Yu V., & Harvey, R. W. A fully-neoclassical finite-orbit-width version of the CQL3D Fokker–Planck code. United Kingdom. https://doi.org/10.1088/0741-3335/58/11/115001
Petrov, Yu V., and Harvey, R. W. Thu . "A fully-neoclassical finite-orbit-width version of the CQL3D Fokker–Planck code". United Kingdom. https://doi.org/10.1088/0741-3335/58/11/115001.
@article{osti_1322416,
title = {A fully-neoclassical finite-orbit-width version of the CQL3D Fokker–Planck code},
author = {Petrov, Yu V. and Harvey, R. W.},
abstractNote = {The time-dependent bounce-averaged CQL3D flux-conservative finite-difference Fokker–Planck equation (FPE) solver has been upgraded to include finite-orbit-width (FOW) capabilities which are necessary for an accurate description of neoclassical transport, losses to the walls, and transfer of particles, momentum, and heat to the scrape-off layer. The FOW modifications are implemented in the formulation of the neutral beam source, collision operator, RF quasilinear diffusion operator, and in synthetic particle diagnostics. The collisional neoclassical radial transport appears naturally in the FOW version due to the orbit-averaging of local collision coefficients coupled with transformation coefficients from local (R, Z) coordinates along each guiding-center orbit to the corresponding midplane computational coordinates, where the FPE is solved. In a similar way, the local quasilinear RF diffusion terms give rise to additional radial transport of orbits. We note that the neoclassical results are obtained for ‘full’ orbits, not dependent on a common small orbit-width approximation. Results of validation tests for the FOW version are also presented.},
doi = {10.1088/0741-3335/58/11/115001},
journal = {Plasma Physics and Controlled Fusion},
number = 11,
volume = 58,
place = {United Kingdom},
year = {Thu Sep 08 00:00:00 EDT 2016},
month = {Thu Sep 08 00:00:00 EDT 2016}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1088/0741-3335/58/11/115001

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Cited by: 29 works
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Works referenced in this record:

Lagrangian formulation of neoclassical transport theory
journal, January 1983


Lagrangian formulation of transport theory: Like particle collisional transport and variational principle
journal, January 1984

  • Cohen, R. H.; Hizanidis, K.; Molvig, K.
  • Physics of Fluids, Vol. 27, Issue 2
  • DOI: 10.1063/1.864622

Quasilinear Diffusion of an Axisymmetric Toroidal Plasma
journal, January 1972


Solution of three-dimensional Fokker-Planck equations for tokamak plasmas using an operator splitting technique
journal, September 1991


Kinetic effects of magnetic turbulence in tokamaks
journal, June 1992


Fokker-Planck 3-D modelling of axisymmetric collisional losses of fusion products in TFTR
journal, December 1995


Three-dimensional Fokker–Planck equation for trapped fast ions in a Tokamak with weak toroidal field ripples
journal, October 1999

  • Yavorskij, V. A.; Andrushchenko, Zh. N.; Edenstrasser, J. W.
  • Physics of Plasmas, Vol. 6, Issue 10
  • DOI: 10.1063/1.873649

Global-wave solutions with self-consistent velocity distributions in ion cyclotron heated plasmas
journal, June 2006


Integrated Simulation of Fusion Plasmas
journal, February 2005


Overview of the initial NSTX experimental results
journal, October 2001


Monte Carlo operators for orbit‐averaged Fokker–Planck equations
journal, February 1994

  • Eriksson, L. ‐G.; Helander, P.
  • Physics of Plasmas, Vol. 1, Issue 2
  • DOI: 10.1063/1.870832

Fast-ion thermalization in non-circular tokamaks with large-banana-width effects
journal, November 1981


Three‐dimensional neoclassical nonlinear kinetic equation for low collisionality axisymmetric tokamak plasmas
journal, February 1993

  • Zaitsev, F. S.; O’Brien, M. R.; Cox, M.
  • Physics of Fluids B: Plasma Physics, Vol. 5, Issue 2
  • DOI: 10.1063/1.860536

Fokker-Planck Equation for an Inverse-Square Force
journal, July 1957

  • Rosenbluth, Marshall N.; MacDonald, William M.; Judd, David L.
  • Physical Review, Vol. 107, Issue 1
  • DOI: 10.1103/PhysRev.107.1

Velocity Space Diffusion from Weak Plasma Turbulence in a Magnetic Field
journal, January 1966


Quasilinear Theory of Resonant Diffusion in a Magneto-Active, Relativistic Plasma
journal, January 1968


Fokker-Planck and quasilinear codes
journal, August 1986


CASTOR-K: Stability Analysis of Alfvén Eigenmodes in the Presence of Energetic Ions in Tokamaks
journal, July 1999

  • Borba, Duarte; Kerner, Wolfgang
  • Journal of Computational Physics, Vol. 153, Issue 1
  • DOI: 10.1006/jcph.1999.6264

A new way to compute charged fusion product trajectories. Application to the detection of 3 MeV protons
journal, December 1995


Drift orbit topology of fast ions in tokamaks
journal, September 2000


Finite-aspect-ratio effects on the bootstrap current in tokamaks
journal, January 1988


Neoclassical conductivity and bootstrap current formulas for general axisymmetric equilibria and arbitrary collisionality regime
journal, July 1999

  • Sauter, O.; Angioni, C.; Lin-Liu, Y. R.
  • Physics of Plasmas, Vol. 6, Issue 7
  • DOI: 10.1063/1.873240

A model for bootstrap current calculations with bounce averaged Fokker-Planck codes
journal, June 1996


Electron Bernstein wave-bootstrap current synergy in the National Spherical Torus Experiment
journal, May 2005

  • Harvey, R. W.; Taylor, G.
  • Physics of Plasmas, Vol. 12, Issue 5
  • DOI: 10.1063/1.1893586

Works referencing / citing this record:

Synergy effect of the Ohkawa current drive of electron cyclotron waves and the lower hybrid current drive: a new mechanism
journal, April 2019


RABBIT: Real-time simulation of the NBI fast-ion distribution
journal, July 2018


Similarity of the coupled equations for RF waves in a tokamak
journal, January 2019

  • Lee, Jungpyo; Smithe, David; Jaeger, Erwin F.
  • Physics of Plasmas, Vol. 26, Issue 1
  • DOI: 10.1063/1.5066288