An asymptotic-preserving 2D-2P relativistic Drift-Kinetic-Equation solver for runaway electron simulations in axisymmetric tokamaks
Abstract
We propose an asymptotic-preserving (AP), uniformly convergent numerical scheme for the relativistic collisional Drift-Kinetic Equation (rDKE) to simulate runaway electrons in axisymmetric toroidal magnetic field geometries typical of tokamak devices. The approach is derived from an exact Green's function solution with numerical approximations of quantifiable impact, and results in a simple, two-step operator-split algorithm, consisting of a collisional Eulerian step, and a Lagrangian orbit-integration step with analytically prescribed kernels. The AP character of the approach is demonstrated by analysis of the dominant numerical errors, as well as by numerical experiments. We demonstrate the ability of the algorithm to provide accurate answers regardless of plasma collisionality on a circular axisymmetric tokamak geometry.
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- OSTI Identifier:
- 1827585
- Alternate Identifier(s):
- OSTI ID: 1829947
- Report Number(s):
- LA-UR-21-22936
Journal ID: ISSN 0021-9991; TRN: US2216042
- Grant/Contract Number:
- 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Computational Physics
- Additional Journal Information:
- Journal Volume: 449; Journal ID: ISSN 0021-9991
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; Mathematics; Magnetic Fusion Energy
Citation Formats
Chacon, Luis, Daniel, Don, and Taitano, William T. An asymptotic-preserving 2D-2P relativistic Drift-Kinetic-Equation solver for runaway electron simulations in axisymmetric tokamaks. United States: N. p., 2021.
Web. doi:10.1016/j.jcp.2021.110772.
Chacon, Luis, Daniel, Don, & Taitano, William T. An asymptotic-preserving 2D-2P relativistic Drift-Kinetic-Equation solver for runaway electron simulations in axisymmetric tokamaks. United States. https://doi.org/10.1016/j.jcp.2021.110772
Chacon, Luis, Daniel, Don, and Taitano, William T. Wed .
"An asymptotic-preserving 2D-2P relativistic Drift-Kinetic-Equation solver for runaway electron simulations in axisymmetric tokamaks". United States. https://doi.org/10.1016/j.jcp.2021.110772. https://www.osti.gov/servlets/purl/1827585.
@article{osti_1827585,
title = {An asymptotic-preserving 2D-2P relativistic Drift-Kinetic-Equation solver for runaway electron simulations in axisymmetric tokamaks},
author = {Chacon, Luis and Daniel, Don and Taitano, William T.},
abstractNote = {We propose an asymptotic-preserving (AP), uniformly convergent numerical scheme for the relativistic collisional Drift-Kinetic Equation (rDKE) to simulate runaway electrons in axisymmetric toroidal magnetic field geometries typical of tokamak devices. The approach is derived from an exact Green's function solution with numerical approximations of quantifiable impact, and results in a simple, two-step operator-split algorithm, consisting of a collisional Eulerian step, and a Lagrangian orbit-integration step with analytically prescribed kernels. The AP character of the approach is demonstrated by analysis of the dominant numerical errors, as well as by numerical experiments. We demonstrate the ability of the algorithm to provide accurate answers regardless of plasma collisionality on a circular axisymmetric tokamak geometry.},
doi = {10.1016/j.jcp.2021.110772},
journal = {Journal of Computational Physics},
number = ,
volume = 449,
place = {United States},
year = {Wed Oct 13 00:00:00 EDT 2021},
month = {Wed Oct 13 00:00:00 EDT 2021}
}
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Works referenced in this record:
Spatial transport of runaway electrons in axisymmetric tokamak plasmas
journal, January 2019
- McDevitt, Christopher J.; Guo, Zehua; Tang, Xian-Zhu
- Plasma Physics and Controlled Fusion, Vol. 61, Issue 2
An asymptotic-preserving semi-Lagrangian algorithm for the time-dependent anisotropic heat transport equation
journal, September 2014
- Chacón, L.; del-Castillo-Negrete, D.; Hauck, C. D.
- Journal of Computational Physics, Vol. 272
Asymptotic Preserving schemes for highly oscillatory Vlasov–Poisson equations
journal, September 2013
- Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian
- Journal of Computational Physics, Vol. 248
NORSE: A solver for the relativistic non-linear Fokker–Planck equation for electrons in a homogeneous plasma
journal, March 2017
- Stahl, A.; Landreman, M.; Embréus, O.
- Computer Physics Communications, Vol. 212
Differential form of the collision integral for a relativistic plasma
journal, October 1987
- Braams, Bastiaan J.; Karney, Charles F. F.
- Physical Review Letters, Vol. 59, Issue 16
Phase-space dynamics of runaway electrons in magnetic fields
journal, February 2017
- Guo, Zehua; McDevitt, Christopher J.; Tang, Xian-Zhu
- Plasma Physics and Controlled Fusion, Vol. 59, Issue 4
Numerical characterization of bump formation in the runaway electron tail
journal, January 2016
- Decker, J.; Hirvijoki, E.; Embreus, O.
- Plasma Physics and Controlled Fusion, Vol. 58, Issue 2
Kinetic modelling of runaway electron avalanches in tokamak plasmas
journal, July 2015
- Nilsson, E.; Decker, J.; Peysson, Y.
- Plasma Physics and Controlled Fusion, Vol. 57, Issue 9
Runaway electron production in DIII-D killer pellet experiments, calculated with the CQL3D/KPRAD model
journal, November 2000
- Harvey, R. W.; Chan, V. S.; Chiu, S. C.
- Physics of Plasmas, Vol. 7, Issue 11
Conservative magnetic moment of runaway electrons and collisionless pitch-angle scattering
journal, August 2018
- Liu, Chang; Qin, Hong; Hirvijoki, Eero
- Nuclear Fusion, Vol. 58, Issue 10
Relativistic limitations on runaway electrons
journal, June 1975
- Connor, J. W.; Hastie, R. J.
- Nuclear Fusion, Vol. 15, Issue 3
A fully implicit, scalable, conservative nonlinear relativistic Fokker–Planck 0D-2P solver for runaway electrons
journal, September 2020
- Daniel, Don; Taitano, William T.; Chacón, Luis
- Computer Physics Communications, Vol. 254
Nonlinear relativistic gyrokinetic Vlasov-Maxwell equations
journal, December 1999
- Brizard, Alain J.; Chan, Anthony A.
- Physics of Plasmas, Vol. 6, Issue 12
Runaway electron generation in axisymmetric tokamak geometry
journal, August 2019
- McDevitt, C. J.; Tang, X. -Z.
- EPL (Europhysics Letters), Vol. 127, Issue 4
Numerical calculation of the runaway electron distribution function and associated synchrotron emission
journal, March 2014
- Landreman, Matt; Stahl, Adam; Fülöp, Tünde
- Computer Physics Communications, Vol. 185, Issue 3
NORSE: A solver for the relativistic non-linear Fokker-Planck equation for electrons in a homogeneous plasma
dataset, January 2016
- Stahl, A.
- Mendeley
Effect of partially ionized impurities and radiation on the effective critical electric field for runaway generation
journal, June 2018
- Hesslow, L.; Embréus, O.; Wilkie, G. J.
- Plasma Physics and Controlled Fusion, Vol. 60, Issue 7
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
journal, May 1954
- Bhatnagar, P. L.; Gross, E. P.; Krook, M.
- Physical Review, Vol. 94, Issue 3
Runaway Electrons in a Plasma
journal, September 1973
- Kulsrud, Russell M.; Sun, Yung-Chiun; Winsor, Niels K.
- Physical Review Letters, Vol. 31, Issue 11
Electron and Ion Runaway in a Fully Ionized Gas. I
journal, July 1959
- Dreicer, H.
- Physical Review, Vol. 115, Issue 2
Asymptotic-Preserving Scheme for the Resolution of Evolution Equations with Stiff Transport Terms
journal, January 2019
- Fedele, Baptiste; Negulescu, Claudia; Possanner, Stefan
- Multiscale Modeling & Simulation, Vol. 17, Issue 1