Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems

Xiao, Jianyuan; Qin, Hong; Liu, Jian; He, Yang; Zhang, Ruili; Sun, Yajuan

doi:10.1063/1.4935904

Title: Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems

Journal Article · Wed Nov 18 00:00:00 EST 2015 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4935904· OSTI ID:1226394

Xiao, Jianyuan ^[1]; Qin, Hong ^[2];

^[1]; He, Yang ^[1];

^[1]; Sun, Yajuan ^[3]

School of Nuclear Science and Technology and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China, Key Laboratory of Geospace Environment, CAS, Hefei, Anhui 230026, China
School of Nuclear Science and Technology and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China, Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543, USA
LSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100190, China

View Accepted Manuscript (Publisher)

Cite

Export

Save

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-09CH11466

OSTI ID:: 1226394

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Vol. 22 Journal Issue: 11; ISSN 1070-664X

Publisher:: American Institute of PhysicsCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 32 works

Citation information provided by
Web of Science

References (40)

Canonicalization and symplectic simulation of the gyrocenter dynamics in time-independent magnetic fields Zhang, Ruili; Liu, Jian; Tang, Yifa Physics of Plasmas, Vol. 21, Issue 3 https://doi.org/10.1063/1.4867669	journal	March 2014
Variational symplectic algorithm for guiding center dynamics and its application in tokamak geometry Qin, Hong; Guan, Xiaoyin; Tang, William M. Physics of Plasmas, Vol. 16, Issue 4 https://doi.org/10.1063/1.3099055	journal	April 2009
Gauge properties of the guiding center variational symplectic integrator Squire, J.; Qin, H.; Tang, W. M. Physics of Plasmas, Vol. 19, Issue 5 https://doi.org/10.1063/1.4714608	journal	May 2012
Development of variational guiding center algorithms for parallel calculations in experimental magnetic equilibria Ellison, C. Leland; Finn, J. M.; Qin, H. Plasma Physics and Controlled Fusion, Vol. 57, Issue 5 https://doi.org/10.1088/0741-3335/57/5/054007	journal	April 2015
Hamiltonian splitting for the Vlasov–Maxwell equations Crouseilles, Nicolas; Einkemmer, Lukas; Faou, Erwan Journal of Computational Physics, Vol. 283 https://doi.org/10.1016/j.jcp.2014.11.029	journal	February 2015
A variational multi-symplectic particle-in-cell algorithm with smoothing functions for the Vlasov-Maxwell system Xiao, Jianyuan; Liu, Jian; Qin, Hong Physics of Plasmas, Vol. 20, Issue 10 https://doi.org/10.1063/1.4826218	journal	October 2013
Comments on: The Maxwell-Vlasov equations as a continuous hamiltonian system Weinstein, Alan; Morrison, Philip J. Physics Letters A, Vol. 86, Issue 4 https://doi.org/10.1016/0375-9601(81)90496-5	journal	November 1981
The Maxwell-Vlasov equations as a continuous hamiltonian system Morrison, Philip J. Physics Letters A, Vol. 80, Issue 5-6 https://doi.org/10.1016/0375-9601(80)90776-8	journal	December 1980
Variational Symplectic Integrator for Long-Time Simulations of the Guiding-Center Motion of Charged Particles in General Magnetic Fields Qin, Hong; Guan, Xiaoyin Physical Review Letters, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevLett.100.035006	journal	January 2008
Comment on “Symplectic integration of magnetic systems” by Stephen D. Webb [J. Comput. Phys. 270 (2014) 570–576] Zhang, Shuangxi; Jia, Yuesong; Sun, Qizhi Journal of Computational Physics, Vol. 282 https://doi.org/10.1016/j.jcp.2014.10.062	journal	February 2015
VORPAL: a versatile plasma simulation code Nieter, Chet; Cary, John R. Journal of Computational Physics, Vol. 196, Issue 2 https://doi.org/10.1016/j.jcp.2003.11.004	journal	May 2004
A Can0nical Integrati0n Technique Ruth, Ronald D. IEEE Transactions on Nuclear Science, Vol. 30, Issue 4 https://doi.org/10.1109/TNS.1983.4332919	journal	August 1983
Variational formulation of macro-particle plasma simulation algorithms Shadwick, B. A.; Stamm, A. B.; Evstatiev, E. G. Physics of Plasmas, Vol. 21, Issue 5 https://doi.org/10.1063/1.4874338	journal	May 2014
Comment on “Hamiltonian splitting for the Vlasov–Maxwell equations” Qin, Hong; He, Yang; Zhang, Ruili Journal of Computational Physics, Vol. 297 https://doi.org/10.1016/j.jcp.2015.04.056	journal	September 2015
A symplectic integration algorithm for separable Hamiltonian functions Candy, J.; Rozmus, W. Journal of Computational Physics, Vol. 92, Issue 1 https://doi.org/10.1016/0021-9991(91)90299-Z	journal	January 1991
Geometric Numerical Integration Hairer, Ernst; Wanner, Gerhard; Lubich, Christian Springer Series in Computational Mathematics https://doi.org/10.1007/978-3-662-05018-7	book	January 2002
Numerical study on Landau damping Zhou, Tie; Guo, Yan; Shu, Chi-Wang Physica D: Nonlinear Phenomena, Vol. 157, Issue 4 https://doi.org/10.1016/S0167-2789(01)00289-5	journal	October 2001
Hamiltonian gyrokinetic Vlasov–Maxwell system Burby, J. W.; Brizard, A. J.; Morrison, P. J. Physics Letters A, Vol. 379, Issue 36 https://doi.org/10.1016/j.physleta.2015.06.051	journal	September 2015
Discrete mechanics and variational integrators Marsden, J. E.; West, M. Acta Numerica, Vol. 10 https://doi.org/10.1017/S096249290100006X	journal	May 2001
Collisionless Damping of Nonlinear Plasma Oscillations O'Neil, Thomas Physics of Fluids, Vol. 8, Issue 12 https://doi.org/10.1063/1.1761193	journal	January 1965
Variational symplectic algorithm for guiding center dynamics in the inner magnetosphere Li, Jinxing; Qin, Hong; Pu, Zuyin Physics of Plasmas, Vol. 18, Issue 5 https://doi.org/10.1063/1.3589275	journal	May 2011
Why is Boris algorithm so good? Qin, Hong; Zhang, Shuangxi; Xiao, Jianyuan Physics of Plasmas, Vol. 20, Issue 8 https://doi.org/10.1063/1.4818428	journal	August 2013
Comment on “Symplectic integration of magnetic systems”: A proof that the Boris algorithm is not variational Ellison, C. L.; Burby, J. W.; Qin, H. Journal of Computational Physics, Vol. 301 https://doi.org/10.1016/j.jcp.2015.09.007	journal	November 2015
Volume-preserving algorithm for secular relativistic dynamics of charged particles Zhang, Ruili; Liu, Jian; Qin, Hong Physics of Plasmas, Vol. 22, Issue 4 https://doi.org/10.1063/1.4916570	journal	April 2015
Variational symplectic particle-in-cell simulation of nonlinear mode conversion from extraordinary waves to Bernstein waves Xiao, Jianyuan; Liu, Jian; Qin, Hong Physics of Plasmas, Vol. 22, Issue 9 https://doi.org/10.1063/1.4930118	journal	September 2015
Long-Time Behavior of Nonlinear Landau Damping Manfredi, Giovanni Physical Review Letters, Vol. 79, Issue 15 https://doi.org/10.1103/PhysRevLett.79.2815	journal	October 1997
Symplectic integration of Hamiltonian systems Channell, P. J.; Scovel, C. Nonlinearity, Vol. 3, Issue 2 https://doi.org/10.1088/0951-7715/3/2/001	journal	May 1990
Field theory and weak Euler-Lagrange equation for classical particle-field systems Qin, Hong; Burby, Joshua W.; Davidson, Ronald C. Physical Review E, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevE.90.043102	journal	October 2014
On Landau Damping Dawson, John Physics of Fluids, Vol. 4, Issue 7 https://doi.org/10.1063/1.1706419	journal	January 1961
Conservative semi-Lagrangian schemes for Vlasov equations Crouseilles, Nicolas; Mehrenberger, Michel; Sonnendrücker, Eric Journal of Computational Physics, Vol. 229, Issue 6 https://doi.org/10.1016/j.jcp.2009.11.007	journal	March 2010
Variational integration for ideal magnetohydrodynamics with built-in advection equations Zhou, Yao; Qin, Hong; Burby, J. W. Physics of Plasmas, Vol. 21, Issue 10 https://doi.org/10.1063/1.4897372	journal	October 2014
Application of the phase space action principle to finite-size particle plasma simulations in the drift-kinetic approximation Evstatiev, E. G. Computer Physics Communications, Vol. 185, Issue 11 https://doi.org/10.1016/j.cpc.2014.07.004	journal	November 2014
Variational formulation of particle algorithms for kinetic plasma simulations Evstatiev, E. G.; Shadwick, B. A. Journal of Computational Physics, Vol. 245 https://doi.org/10.1016/j.jcp.2013.03.006	journal	July 2013
Geometric integration of the Vlasov-Maxwell system with a variational particle-in-cell scheme Squire, J.; Qin, H.; Tang, W. M. Physics of Plasmas, Vol. 19, Issue 8 https://doi.org/10.1063/1.4742985	journal	August 2012
Plasma Physics via Computer Simulation Birdsall, C. K.; Langdon, A. B. https://doi.org/10.1887/0750301171	book	January 1991
Geometric gyrokinetic theory for edge plasmas Qin, H.; Cohen, R. H.; Nevins, W. M. Physics of Plasmas, Vol. 14, Issue 5 https://doi.org/10.1063/1.2472596	journal	May 2007
Volume-preserving algorithms for charged particle dynamics He, Yang; Sun, Yajuan; Liu, Jian Journal of Computational Physics, Vol. 281 https://doi.org/10.1016/j.jcp.2014.10.032	journal	January 2015
On Landau damping Mouhot, Clément; Villani, Cédric Acta Mathematica, Vol. 207, Issue 1 https://doi.org/10.1007/s11511-011-0068-9	journal	January 2011
Symplectic and energy-conserving algorithms for solving magnetic field trajectories Chin, Siu A. Physical Review E, Vol. 77, Issue 6 https://doi.org/10.1103/PhysRevE.77.066401	journal	June 2008
The Hamiltonian structure of the Maxwell-Vlasov equations Marsden, Jerrold E.; Weinstein, Alan Physica D: Nonlinear Phenomena, Vol. 4, Issue 3 https://doi.org/10.1016/0167-2789(82)90043-4	journal	March 1982

Similar Records

Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems

Journal Article · Sun Nov 15 00:00:00 EST 2015 · Physics of Plasmas · OSTI ID:1226394

Xiao, Jianyuan; Liu, Jian; He, Yang; +3 more

A variational multi-symplectic particle-in-cell algorithm with smoothing functions for the Vlasov-Maxwell system

Journal Article · Tue Oct 15 00:00:00 EDT 2013 · Physics of Plasmas · OSTI ID:1226394

Xiao, Jianyuan; Liu, Jian; Qin, Hong; +1 more

Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systems

Journal Article · Mon Nov 21 00:00:00 EST 2016 · Physics of Plasmas · OSTI ID:1226394

Xiao, Jianyuan; Qin, Hong; Morrison, Philip J.; +4 more

Title: Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems

Citation Formats

References (40)

Similar Records

Related Subjects