Progress with the COGENT Edge Kinetic Code: Implementing the Fokker-Plank Collision Operator

Dorf, M. A.; Cohen, R. H.; Dorr, M.; Hittinger, J.; Rognlien, T. D.

doi:10.1002/ctpp.201410023

Title: Progress with the COGENT Edge Kinetic Code: Implementing the Fokker-Plank Collision Operator

Abstract

Here, COGENT is a continuum gyrokinetic code for edge plasma simulations being developed by the Edge Simulation Laboratory collaboration. The code is distinguished by application of a fourth-order finite-volume (conservative) discretization, and mapped multiblock grid technology to handle the geometric complexity of the tokamak edge. The distribution function F is discretized in v∥ – μ (parallel velocity – magnetic moment) velocity coordinates, and the code presently solves an axisymmetric full-f gyro-kinetic equation coupled to the long-wavelength limit of the gyro-Poisson equation. COGENT capabilities are extended by implementing the fully nonlinear Fokker-Plank operator to model Coulomb collisions in magnetized edge plasmas. The corresponding Rosenbluth potentials are computed by making use of a finite-difference scheme and multipole-expansion boundary conditions. Details of the numerical algorithms and results of the initial verification studies are discussed. (© 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Authors:

Dorf, M. A. ^[1]; Cohen, R. H. ^[1]; Dorr, M. ^[1]; Hittinger, J. ^[1]; Rognlien, T. D. ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Publication Date:: Fri Jun 20 00:00:00 EDT 2014

Research Org.:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1248299

Report Number(s):: LLNL-JRNL-643953
Journal ID: ISSN 0863-1042

Grant/Contract Number:: AC52-07NA27344

Resource Type:: Accepted Manuscript

Journal Name:: Contributions to Plasma Physics

Additional Journal Information:: Journal Volume: 54; Journal Issue: 4-6; Journal ID: ISSN 0863-1042

Publisher:: Wiley

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION; 97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; edge; plasma; simulation; kinetic; gyrokinetic

Citation Formats


                    Dorf, M. A., Cohen, R. H., Dorr, M., Hittinger, J., and Rognlien, T. D. Progress with the COGENT Edge Kinetic Code: Implementing the Fokker-Plank Collision Operator.  United States: N. p., 2014. 
Web.  doi:10.1002/ctpp.201410023.

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                    Dorf, M. A., Cohen, R. H., Dorr, M., Hittinger, J., & Rognlien, T. D. Progress with the COGENT Edge Kinetic Code: Implementing the Fokker-Plank Collision Operator.  United States.  https://doi.org/10.1002/ctpp.201410023

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                    Dorf, M. A., Cohen, R. H., Dorr, M., Hittinger, J., and Rognlien, T. D. Fri .  
"Progress with the COGENT Edge Kinetic Code: Implementing the Fokker-Plank Collision Operator".  United States.  https://doi.org/10.1002/ctpp.201410023.  https://www.osti.gov/servlets/purl/1248299.

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@article{osti_1248299,

  title        = {Progress with the COGENT Edge Kinetic Code: Implementing the Fokker-Plank Collision Operator},

  author       = {Dorf, M. A. and Cohen, R. H. and Dorr, M. and Hittinger, J. and Rognlien, T. D.},

  abstractNote = {Here, COGENT is a continuum gyrokinetic code for edge plasma simulations being developed by the Edge Simulation Laboratory collaboration. The code is distinguished by application of a fourth-order finite-volume (conservative) discretization, and mapped multiblock grid technology to handle the geometric complexity of the tokamak edge. The distribution function F is discretized in v∥ – μ (parallel velocity – magnetic moment) velocity coordinates, and the code presently solves an axisymmetric full-f gyro-kinetic equation coupled to the long-wavelength limit of the gyro-Poisson equation. COGENT capabilities are extended by implementing the fully nonlinear Fokker-Plank operator to model Coulomb collisions in magnetized edge plasmas. The corresponding Rosenbluth potentials are computed by making use of a finite-difference scheme and multipole-expansion boundary conditions. Details of the numerical algorithms and results of the initial verification studies are discussed. (© 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)},

  doi          = {10.1002/ctpp.201410023},

  journal      = {Contributions to Plasma Physics},

  number       = 4-6,

  volume       = 54,

  place        = {United States},

  year         = {Fri Jun 20 00:00:00 EDT 2014},

  month        = {Fri Jun 20 00:00:00 EDT 2014}

}

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Works referenced in this record:

Numerical modelling of geodesic acoustic mode relaxation in a tokamak edge
journal, May 2013

Dorf, M. A.; Cohen, R. H.; Dorr, M.
Nuclear Fusion, Vol. 53, Issue 6
DOI: 10.1088/0029-5515/53/6/063015

Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator
journal, September 2011

Pataki, Andras; Greengard, Leslie
Journal of Computational Physics, Vol. 230, Issue 21
DOI: 10.1016/j.jcp.2011.07.005

Local and global Fokker–Planck neoclassical calculations showing flow and bootstrap current modification in a pedestal
journal, October 2012

Landreman, Matt; Ernst, Darin R.
Plasma Physics and Controlled Fusion, Vol. 54, Issue 11
DOI: 10.1088/0741-3335/54/11/115006

Classical Electrodynamics
journal, November 1962

Jackson, John David; Levitt, L. C.
Physics Today, Vol. 15, Issue 11
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Simulation of neoclassical transport with the continuum gyrokinetic code COGENT
journal, January 2013

Dorf, M. A.; Cohen, R. H.; Dorr, M.
Physics of Plasmas, Vol. 20, Issue 1
DOI: 10.1063/1.4776712

High-order, finite-volume methods in mapped coordinates
journal, April 2011

Colella, P.; Dorr, M. R.; Hittinger, J. A. F.
Journal of Computational Physics, Vol. 230, Issue 8
DOI: 10.1016/j.jcp.2010.12.044

Progress with the COGENT Edge Kinetic Code: Collision Operator Options
journal, June 2012

Dorf, M. A.; Cohen, R. H.; Compton, J. C.
Contributions to Plasma Physics, Vol. 52, Issue 5-6
DOI: 10.1002/ctpp.201210042

Full linearized Fokker–Planck collisions in neoclassical transport simulations
journal, December 2011

Belli, E. A.; Candy, J.
Plasma Physics and Controlled Fusion, Vol. 54, Issue 1
DOI: 10.1088/0741-3335/54/1/015015

FPPAC: A two-dimensional multispecies nonlinear Fokker-Planck package
journal, September 1981

McCoy, M. G.; Mirin, A. A.; Killeen, J.
Computer Physics Communications, Vol. 24, Issue 1
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An Implicit Energy-Conservative 2D Fokker–Planck Algorithm
journal, January 2000

Chacón, L.; Barnes, D. C.; Knoll, D. A.
Journal of Computational Physics, Vol. 157, Issue 2
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Works referencing / citing this record:

Kinetic Simulation of Collisional Magnetized Plasmas with Semi-implicit Time Integration
journal, May 2018

Ghosh, Debojyoti; Dorf, Mikhail A.; Dorr, Milo R.
Journal of Scientific Computing, Vol. 77, Issue 2
DOI: 10.1007/s10915-018-0726-6

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

Kinetic Simulation of Collisional Magnetized Plasmas with Semi-Implicit Time Integration
preprint, January 2017

Ghosh, Debojyoti; Dorf, Mikhail A.; Dorr, Milo R.
arXiv
DOI: 10.48550/arxiv.1707.08247

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Similar Records

Title: Progress with the COGENT Edge Kinetic Code: Implementing the Fokker-Plank Collision Operator

Abstract

Citation Formats

Numerical modelling of geodesic acoustic mode relaxation in a tokamak edge journal, May 2013

Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator journal, September 2011

Local and global Fokker–Planck neoclassical calculations showing flow and bootstrap current modification in a pedestal journal, October 2012

Classical Electrodynamics journal, November 1962

Simulation of neoclassical transport with the continuum gyrokinetic code COGENT journal, January 2013

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Progress with the COGENT Edge Kinetic Code: Collision Operator Options journal, June 2012

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An Implicit Energy-Conservative 2D Fokker–Planck Algorithm journal, January 2000

Kinetic Simulation of Collisional Magnetized Plasmas with Semi-implicit Time Integration journal, May 2018

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

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Numerical modelling of geodesic acoustic mode relaxation in a tokamak edge
journal, May 2013

Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator
journal, September 2011

Local and global Fokker–Planck neoclassical calculations showing flow and bootstrap current modification in a pedestal
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Classical Electrodynamics
journal, November 1962

Simulation of neoclassical transport with the continuum gyrokinetic code COGENT
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High-order, finite-volume methods in mapped coordinates
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Progress with the COGENT Edge Kinetic Code: Collision Operator Options
journal, June 2012

Full linearized Fokker–Planck collisions in neoclassical transport simulations
journal, December 2011

FPPAC: A two-dimensional multispecies nonlinear Fokker-Planck package
journal, September 1981

An Implicit Energy-Conservative 2D Fokker–Planck Algorithm
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journal, May 2018

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