Kinetic Simulation of Collisional Magnetized Plasmas with Semi-implicit Time Integration

Ghosh, Debojyoti; Dorf, Mikhail A.; Dorr, Milo R.; Hittinger, Jeffrey A.  F.

doi:10.1007/s10915-018-0726-6

Title: Kinetic Simulation of Collisional Magnetized Plasmas with Semi-implicit Time Integration

Journal Article · 12 May 2018 · Journal of Scientific Computing

DOI: https://doi.org/10.1007/s10915-018-0726-6 · OSTI ID:1458696

^[1]; Dorf, Mikhail A. ^[2]; Dorr, Milo R. ^[1]; Hittinger, Jeffrey A. F. ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Center for Applied Scientific Computing
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Physics Division

Plasmas with varying collisionalities occur in many applications, such as tokamak edge regions, where the flows are characterized by significant variations in density and temperature. While a kinetic model is necessary for weakly-collisional high-temperature plasmas, high collisionality in colder regions render the equations numerically stiff due to disparate time scales. In this study, we propose an implicit–explicit algorithm for such cases, where the collisional term is integrated implicitly in time, while the advective term is integrated explicitly in time, thus allowing time step sizes that are comparable to the advective time scales. This partitioning results in a more efficient algorithm than those using explicit time integrators, where the time step sizes are constrained by the stiff collisional time scales. Finally, we implement semi-implicit additive Runge–Kutta methods in COGENT, a high-order finite-volume gyrokinetic code and test the accuracy, convergence, and computational cost of these semi-implicit methods for test cases with highly-collisional plasmas.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1458696

Report Number(s):: LLNL-JRNL-735522; 887762

Journal Information:: Journal of Scientific Computing, Vol. 77; ISSN 0885-7474

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

References (86)

Progress in Kinetic Simulation of Edge Plasmas Cohen, R. H.; Xu, X. Q. Contributions to Plasma Physics, Vol. 48, Issue 1-3 https://doi.org/10.1002/ctpp.200810038	journal	March 2008
Conservative Numerical Schemes for the Vlasov Equation Filbet, Francis; Sonnendrücker, Eric; Bertrand, Pierre Journal of Computational Physics, Vol. 172, Issue 1 https://doi.org/10.1006/jcph.2001.6818	journal	September 2001
Tempest Simulations of Collisionless Damping of the Geodesic-Acoustic Mode in Edge-Plasma Pedestals Xu, X. Q.; Xiong, Z.; Gao, Z. Physical Review Letters, Vol. 100, Issue 21 https://doi.org/10.1103/PhysRevLett.100.215001	journal	May 2008
Detailed comparison of simulated and measured plasma profiles in the scrape-off layer and edge plasma of DIII-D Porter, G. D.; Isler, R.; Boedo, J. Physics of Plasmas, Vol. 7, Issue 9 https://doi.org/10.1063/1.1286509	journal	September 2000
Discretization methods for one-dimensional Fokker-Planck operators Larsen, E. W.; Levermore, C. D.; Pomraning, G. C. Journal of Computational Physics, Vol. 61, Issue 3 https://doi.org/10.1016/0021-9991(85)90070-1	journal	December 1985
Entropy Stable Numerical Schemes for Two-Fluid Plasma Equations Kumar, Harish; Mishra, Siddhartha Journal of Scientific Computing, Vol. 52, Issue 2 https://doi.org/10.1007/s10915-011-9554-7	journal	November 2011
An IMEX-Scheme for Pricing Options under Stochastic Volatility Models with Jumps Salmi, Santtu; Toivanen, Jari; von Sydow, Lina SIAM Journal on Scientific Computing, Vol. 36, Issue 5 https://doi.org/10.1137/130924905	journal	January 2014
Gyrokinetic study of the edge shear layer Scott, B. Plasma Physics and Controlled Fusion, Vol. 48, Issue 5A https://doi.org/10.1088/0741-3335/48/5A/S39	journal	April 2006
Conservative gyrokinetic Vlasov simulation Idomura, Yasuhiro; Ida, Masato; Tokuda, Shinji Communications in Nonlinear Science and Numerical Simulation, Vol. 13, Issue 1 https://doi.org/10.1016/j.cnsns.2007.05.015	journal	February 2008
A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov–Poisson equations Rossmanith, James A.; Seal, David C. Journal of Computational Physics, Vol. 230, Issue 16 https://doi.org/10.1016/j.jcp.2011.04.018	journal	July 2011
Progress with the COGENT Edge Kinetic Code: Collision Operator Options Dorf, M. A.; Cohen, R. H.; Compton, J. C. Contributions to Plasma Physics, Vol. 52, Issue 5-6 https://doi.org/10.1002/ctpp.201210042	journal	June 2012
Relaxation of a system of charged particles Kho, T. H. Physical Review A, Vol. 32, Issue 1 https://doi.org/10.1103/PhysRevA.32.666	journal	July 1985
TEMPEST simulations of the plasma transport in a single-null tokamak geometry Xu, X. Q.; Bodi, K.; Cohen, R. H. Nuclear Fusion, Vol. 50, Issue 6 https://doi.org/10.1088/0029-5515/50/6/064003	journal	May 2010
A drift-kinetic Semi-Lagrangian 4D code for ion turbulence simulation Grandgirard, V.; Brunetti, M.; Bertrand, P. Journal of Computational Physics, Vol. 217, Issue 2 https://doi.org/10.1016/j.jcp.2006.01.023	journal	September 2006
Fast implicit schemes for the Fokker–Planck–Landau equation Lemou, Mohammed; Mieussens, Luc Comptes Rendus Mathematique, Vol. 338, Issue 10 https://doi.org/10.1016/j.crma.2004.03.010	journal	May 2004
A mass, momentum, and energy conserving, fully implicit, scalable algorithm for the multi-dimensional, multi-species Rosenbluth–Fokker–Planck equation Taitano, W. T.; Chacón, L.; Simakov, A. N. Journal of Computational Physics, Vol. 297 https://doi.org/10.1016/j.jcp.2015.05.025	journal	September 2015
Nonlinear gyrokinetic equations for turbulence in core transport barriers Hahm, T. S. Physics of Plasmas, Vol. 3, Issue 12 https://doi.org/10.1063/1.872034	journal	December 1996
Additive Runge–Kutta schemes for convection–diffusion–reaction equations Kennedy, Christopher A.; Carpenter, Mark H. Applied Numerical Mathematics, Vol. 44, Issue 1-2 https://doi.org/10.1016/S0168-9274(02)00138-1	journal	January 2003
Jacobian-free Newton–Krylov methods: a survey of approaches and applications Knoll, D. A.; Keyes, D. E. Journal of Computational Physics, Vol. 193, Issue 2 https://doi.org/10.1016/j.jcp.2003.08.010	journal	January 2004
Edge gyrokinetic theory and continuum simulations Xu, X. Q.; Xiong, Z.; Dorr, M. R. Nuclear Fusion, Vol. 47, Issue 8 https://doi.org/10.1088/0029-5515/47/8/011	journal	July 2007
NITSOL: A Newton Iterative Solver for Nonlinear Systems Pernice, Michael; Walker, Homer F. SIAM Journal on Scientific Computing, Vol. 19, Issue 1 https://doi.org/10.1137/S1064827596303843	journal	January 1998
Implicit–explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning Jacobs, G. B.; Hesthaven, J. S. Computer Physics Communications, Vol. 180, Issue 10 https://doi.org/10.1016/j.cpc.2009.05.020	journal	October 2009
High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids McCorquodale, P.; Dorr, M. R.; Hittinger, J. A. F. Journal of Computational Physics, Vol. 288 https://doi.org/10.1016/j.jcp.2015.01.006	journal	May 2015
Fast Algorithms for Numerical, Conservative, and Entropy Approximations of the Fokker–Planck–Landau Equation Buet, C.; Cordier, S.; Degond, P. Journal of Computational Physics, Vol. 133, Issue 2 https://doi.org/10.1006/jcph.1997.5669	journal	May 1997
A forward semi-Lagrangian method for the numerical solution of the Vlasov equation Crouseilles, Nicolas; Respaud, Thomas; Sonnendrücker, Eric Computer Physics Communications, Vol. 180, Issue 10 https://doi.org/10.1016/j.cpc.2009.04.024	journal	October 2009
Fokker-Planck Equation for an Inverse-Square Force Rosenbluth, Marshall N.; MacDonald, William M.; Judd, David L. Physical Review, Vol. 107, Issue 1 https://doi.org/10.1103/PhysRev.107.1	journal	July 1957
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
An implicit Vlasov–Fokker–Planck code to model non-local electron transport in 2-D with magnetic fields Kingham, R. J.; Bell, A. R. Journal of Computational Physics, Vol. 194, Issue 1 https://doi.org/10.1016/j.jcp.2003.08.017	journal	February 2004
Implicit-explicit runge-kutta schemes and applications to hyperbolic systems with relaxation Pareschi, Lorenzo; Russo, Giovanni Journal of Scientific Computing, Vol. 25, Issue 1-2 https://doi.org/10.1007/BF02728986	journal	November 2005
Kinetic simulation of a plasma collision experiment Larroche, Olivier Physics of Fluids B: Plasma Physics, Vol. 5, Issue 8 https://doi.org/10.1063/1.860670	journal	August 1993
Iterative Methods for Sparse Linear Systems Saad, Yousef https://doi.org/10.1137/1.9780898718003	book	January 2003
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems Saad, Youcef; Schultz, Martin H. SIAM Journal on Scientific and Statistical Computing, Vol. 7, Issue 3 https://doi.org/10.1137/0907058	journal	July 1986
Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: Theoretical analysis and application to the Vlasov–Poisson system Qiu, Jing-Mei; Shu, Chi-Wang Journal of Computational Physics, Vol. 230, Issue 23 https://doi.org/10.1016/j.jcp.2011.07.018	journal	September 2011
Anomalous Transport Scaling in the DIII-D Tokamak Matched by Supercomputer Simulation Candy, J.; Waltz, R. E. Physical Review Letters, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevLett.91.045001	journal	July 2003
Implicit–explicit Runge–Kutta methods applied to atmospheric chemistry-transport modelling Wolke, Ralf; Knoth, Oswald Environmental Modelling & Software, Vol. 15, Issue 6-7 https://doi.org/10.1016/S1364-8152(00)00034-7	journal	September 2000
An energy- and charge-conserving, nonlinearly implicit, electromagnetic 1D-3V Vlasov–Darwin particle-in-cell algorithm Chen, G.; Chacón, L. Computer Physics Communications, Vol. 185, Issue 10 https://doi.org/10.1016/j.cpc.2014.05.010	journal	October 2014
Particle Simulation of the Neoclassical Plasmas Heikkinen, J. A.; Kiviniemi, T. P.; Kurki-Suonio, T. Journal of Computational Physics, Vol. 173, Issue 2 https://doi.org/10.1006/jcph.2001.6891	journal	November 2001
Conservative finite-difference schemes for the Fokker-Planck equation not violating the law of an increasing entropy Berezin, Yu. A.; Khudick, V. N.; Pekker, M. S. Journal of Computational Physics, Vol. 69, Issue 1 https://doi.org/10.1016/0021-9991(87)90160-4	journal	March 1987
Simulation of neoclassical transport with the continuum gyrokinetic code COGENT Dorf, M. A.; Cohen, R. H.; Dorr, M. Physics of Plasmas, Vol. 20, Issue 1 https://doi.org/10.1063/1.4776712	journal	January 2013
Fully Implicit Kinetic Solution of Collisional Plasmas Mousseau, V. A.; Knoll, D. A. Journal of Computational Physics, Vol. 136, Issue 2 https://doi.org/10.1006/jcph.1997.5736	journal	September 1997
Spontaneous rotation sources in a quiescent tokamak edge plasma Chang, C. S.; Ku, S. Physics of Plasmas, Vol. 15, Issue 6 https://doi.org/10.1063/1.2937116	journal	June 2008
Full linearized Fokker–Planck collisions in neoclassical transport simulations Belli, E. A.; Candy, J. Plasma Physics and Controlled Fusion, Vol. 54, Issue 1 https://doi.org/10.1088/0741-3335/54/1/015015	journal	December 2011
Progress with the COGENT Edge Kinetic Code: Implementing the Fokker-Planck Collision Operator: Progress with the COGENT Edge Kinetic Code: Implementing the Fokker-Planck Collision Operator Dorf, M. A.; Cohen, R. H.; Dorr, M. Contributions to Plasma Physics, Vol. 54, Issue 4-6 https://doi.org/10.1002/ctpp.201410023	journal	June 2014
Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator Pataki, Andras; Greengard, Leslie Journal of Computational Physics, Vol. 230, Issue 21 https://doi.org/10.1016/j.jcp.2011.07.005	journal	September 2011
Numerical Methods for Unconstrained Optimization and Nonlinear Equations Dennis, J. E.; Schnabel, Robert B. Classics in Applied Mathematics https://doi.org/10.1137/1.9781611971200	book	January 1996
Conservative and Entropy Decaying Numerical Scheme for the Isotropic Fokker–Planck–Landau Equation Buet, C.; Cordier, S. Journal of Computational Physics, Vol. 145, Issue 1 https://doi.org/10.1006/jcph.1998.6015	journal	September 1998
Semi-Implicit Formulations of the Navier–Stokes Equations: Application to Nonhydrostatic Atmospheric Modeling Giraldo, F. X.; Restelli, M.; Läuter, M. SIAM Journal on Scientific Computing, Vol. 32, Issue 6 https://doi.org/10.1137/090775889	journal	January 2010
An adaptive, conservative 0D-2V multispecies Rosenbluth–Fokker–Planck solver for arbitrarily disparate mass and temperature regimes Taitano, W. T.; Chacón, L.; Simakov, A. N. Journal of Computational Physics, Vol. 318 https://doi.org/10.1016/j.jcp.2016.03.071	journal	August 2016
An energy- and charge-conserving, implicit, electrostatic particle-in-cell algorithm Chen, G.; Chacón, L.; Barnes, D. C. Journal of Computational Physics, Vol. 230, Issue 18 https://doi.org/10.1016/j.jcp.2011.05.031	journal	August 2011
Kinetic simulations of fuel ion transport in ICF target implosions Larroche, O. The European Physical Journal D - Atomic, Molecular and Optical Physics, Vol. 27, Issue 2 https://doi.org/10.1140/epjd/e2003-00251-1	journal	November 2003
FPPAC: A two-dimensional multispecies nonlinear Fokker-Planck package McCoy, M. G.; Mirin, A. A.; Killeen, J. Computer Physics Communications, Vol. 24, Issue 1 https://doi.org/10.1016/0010-4655(81)90105-3	journal	September 1981
A multi-dimensional, energy- and charge-conserving, nonlinearly implicit, electromagnetic Vlasov–Darwin particle-in-cell algorithm Chen, G.; Chacón, L. Computer Physics Communications, Vol. 197 https://doi.org/10.1016/j.cpc.2015.08.008	journal	December 2015
The solution of poisson's equation for isolated source distributions James, R. A. Journal of Computational Physics, Vol. 25, Issue 2 https://doi.org/10.1016/0021-9991(77)90013-4	journal	October 1977
hypre: A Library of High Performance Preconditioners Falgout, Robert D.; Yang, Ulrike Meier; Goos, Gerhard Computational Science — ICCS 2002: International Conference Amsterdam, The Netherlands, April 21–24, 2002 Proceedings, Part III https://doi.org/10.1007/3-540-47789-6_66	book	April 2002
Implicit and Conservative Difference Scheme for the Fokker-Planck Equation Epperlein, E. M. Journal of Computational Physics, Vol. 112, Issue 2 https://doi.org/10.1006/jcph.1994.1101	journal	June 1994
Gyrokinetic Simulation of Particle and Heat Transport in the Presence of Wide Orbits and Strong Profile Variations in the Edge Plasma Heikkinen, J. A.; Henriksson, S.; Janhunen, S. Contributions to Plasma Physics, Vol. 46, Issue 7-9 https://doi.org/10.1002/ctpp.200610035	journal	September 2006
Gyrokinetic approach in particle simulation Lee, W. W. Physics of Fluids, Vol. 26, Issue 2 https://doi.org/10.1063/1.864140	journal	January 1983
A hybrid method of semi-Lagrangian and additive semi-implicit Runge–Kutta schemes for gyrokinetic Vlasov simulations Maeyama, S.; Ishizawa, A.; Watanabe, T. -H. Computer Physics Communications, Vol. 183, Issue 9 https://doi.org/10.1016/j.cpc.2012.04.028	journal	September 2012
Implicit–Explicit Multistep Methods for Fast-Wave–Slow-Wave Problems Durran, Dale R.; Blossey, Peter N. Monthly Weather Review, Vol. 140, Issue 4 https://doi.org/10.1175/MWR-D-11-00088.1	journal	April 2012
Conservative global gyrokinetic toroidal full-f five-dimensional Vlasov simulation Idomura, Yasuhiro; Ida, Masato; Kano, Takuma Computer Physics Communications, Vol. 179, Issue 6 https://doi.org/10.1016/j.cpc.2008.04.005	journal	September 2008
Numerical Methods for Ordinary Differential Equations Butcher, J. C. John Wiley & Sons, Ltd https://doi.org/10.1002/0470868279	book	January 2003
An Implicit Energy-Conservative 2D Fokker–Planck Algorithm Chacón, L.; Barnes, D. C.; Knoll, D. A. Journal of Computational Physics, Vol. 157, Issue 2 https://doi.org/10.1006/jcph.1999.6395	journal	January 2000
Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA) Giraldo, F. X.; Kelly, J. F.; Constantinescu, E. M. SIAM Journal on Scientific Computing, Vol. 35, Issue 5 https://doi.org/10.1137/120876034	journal	January 2013
Two-Dimensional Nonlocal Electron Transport in Laser-Produced Plasmas Epperlein, E. M.; Rickard, G. J.; Bell, A. R. Physical Review Letters, Vol. 61, Issue 21 https://doi.org/10.1103/PhysRevLett.61.2453	journal	November 1988
Vlasov simulations of electron-ion collision effects on damping of electron plasma waves Banks, J. W.; Brunner, S.; Berger, R. L. Physics of Plasmas, Vol. 23, Issue 3 https://doi.org/10.1063/1.4943194	journal	March 2016
A second order self-consistent IMEX method for radiation hydrodynamics Kadioglu, Samet Y.; Knoll, Dana A.; Lowrie, Robert B. Journal of Computational Physics, Vol. 229, Issue 22 https://doi.org/10.1016/j.jcp.2010.07.019	journal	November 2010
Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations Ascher, Uri M.; Ruuth, Steven J.; Spiteri, Raymond J. Applied Numerical Mathematics, Vol. 25, Issue 2-3 https://doi.org/10.1016/S0168-9274(97)00056-1	journal	November 1997
A review of Vlasov–Fokker–Planck numerical modeling of inertial confinement fusion plasma Thomas, A. G. R.; Tzoufras, M.; Robinson, A. P. L. Journal of Computational Physics, Vol. 231, Issue 3 https://doi.org/10.1016/j.jcp.2011.09.028	journal	February 2012
Implicit Schemes for the Fokker--Planck--Landau Equation Lemou, Mohammed; Mieussens, Luc SIAM Journal on Scientific Computing, Vol. 27, Issue 3 https://doi.org/10.1137/040609422	journal	January 2005
Rapid self-magnetization of laser speckles in plasmas by nonlinear anisotropic instability Thomas, A. G. R.; Kingham, R. J.; Ridgers, C. P. New Journal of Physics, Vol. 11, Issue 3 https://doi.org/10.1088/1367-2630/11/3/033001	journal	March 2009
Semi-implicit Time Integration of Atmospheric Flows with Characteristic-Based Flux Partitioning Ghosh, Debojyoti; Constantinescu, Emil M. SIAM Journal on Scientific Computing, Vol. 38, Issue 3 https://doi.org/10.1137/15M1044369	journal	January 2016
The integration of the vlasov equation in configuration space Cheng, C. Z.; Knorr, Georg Journal of Computational Physics, Vol. 22, Issue 3 https://doi.org/10.1016/0021-9991(76)90053-X	journal	November 1976
Multipole expansions for the Fokker-Planck-Landau operator Lemou, M. Numerische Mathematik, Vol. 78, Issue 4 https://doi.org/10.1007/s002110050327	journal	February 1998
A Numerical Method for the Accurate Solution of the Fokker–Planck–Landau Equation in the Nonhomogeneous Case Filbet, Francis; Pareschi, Lorenzo Journal of Computational Physics, Vol. 179, Issue 1 https://doi.org/10.1006/jcph.2002.7010	journal	June 2002
High-order, finite-volume methods in mapped coordinates Colella, P.; Dorr, M. R.; Hittinger, J. A. F. Journal of Computational Physics, Vol. 230, Issue 8 https://doi.org/10.1016/j.jcp.2010.12.044	journal	April 2011
A conservative high order semi-Lagrangian WENO method for the Vlasov equation Qiu, Jing-Mei; Christlieb, Andrew Journal of Computational Physics, Vol. 229, Issue 4 https://doi.org/10.1016/j.jcp.2009.10.016	journal	February 2010
A practical difference scheme for Fokker-Planck equations Chang, J. S.; Cooper, G. Journal of Computational Physics, Vol. 6, Issue 1 https://doi.org/10.1016/0021-9991(70)90001-X	journal	August 1970
An Implicit Energy-Conservative 2D Fokker–Planck Algorithm Chacón, L.; Barnes, D. C.; Knoll, D. A. Journal of Computational Physics, Vol. 157, Issue 2 https://doi.org/10.1006/jcph.1999.6394	journal	January 2000
Numerical Methods for Ordinary Differential Equations Butcher, J. C. John Wiley & Sons, Ltd https://doi.org/10.1002/9780470753767	book	January 2008
FPPAC: A two-dimensional multispecies nonlinear fokker-planck package McCoy, M. G.; Mirin, A. A.; Killeen, J. Computer Physics Communications, Vol. 35 https://doi.org/10.1016/s0010-4655(84)82876-3	journal	January 1984
Numerical Methods for Ordinary Differential Equations Butcher, J. C. https://doi.org/10.1002/9781119121534	book	July 2016
A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations Rossmanith, J. A.; Seal, D. C. arXiv https://doi.org/10.48550/arxiv.1012.2494	text	January 2010
An Energy- and Charge-conserving, Implicit, Electrostatic Particle-in-Cell Algorithm Chen, Guangye; Chacón, Luis; Barnes, Daniel C. arXiv https://doi.org/10.48550/arxiv.1101.3701	text	January 2011
New velocity-space discretization for continuum kinetic calculations and Fokker-Planck collisions Landreman, Matt; Ernst, Darin R. arXiv https://doi.org/10.48550/arxiv.1210.5289	text	January 2012
An energy- and charge-conserving, nonlinearly implicit, electromagnetic 1D-3V Vlasov-Darwin particle-in-cell algorithm Chen, Guangye; Chacon, Luis arXiv https://doi.org/10.48550/arxiv.1310.1832	text	January 2013
A multi-dimensional, energy- and charge-conserving, nonlinearly implicit, electromagnetic Vlasov-Darwin particle-in-cell algorithm Chen, Guangye; Chacon, Luis arXiv https://doi.org/10.48550/arxiv.1503.01169	text	January 2015

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97 MATHEMATICS AND COMPUTING
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
IMEX time integration
plasma physics
gyrokinetic simulations
Vlasov–Fokker–Planck equations

Title: Kinetic Simulation of Collisional Magnetized Plasmas with Semi-implicit Time Integration

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