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

Authors:

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

Publication Date:: 2015-11-18

Sponsoring Org.:: USDOE

OSTI Identifier:: 1226394

Grant/Contract Number:: AC02-09CH11466

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Name: Physics of Plasmas Journal Volume: 22 Journal Issue: 11; Journal ID: ISSN 1070-664X

Publisher:: American Institute of Physics

Country of Publication:: United States

Language:: English

Citation Formats


                    Xiao, Jianyuan, Qin, Hong, Liu, Jian, He, Yang, Zhang, Ruili, and Sun, Yajuan. Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems.  United States: N. p., 2015. 
        Web.  doi:10.1063/1.4935904.

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                    Xiao, Jianyuan, Qin, Hong, Liu, Jian, He, Yang, Zhang, Ruili, & Sun, Yajuan. Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems.  United States.  doi:https://doi.org/10.1063/1.4935904

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                    Xiao, Jianyuan, Qin, Hong, Liu, Jian, He, Yang, Zhang, Ruili, and Sun, Yajuan. Wed .  
        "Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems".  United States.  doi:https://doi.org/10.1063/1.4935904.

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@article{osti_1226394,

  title        = {Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems},

  author       = {Xiao, Jianyuan and Qin, Hong and Liu, Jian and He, Yang and Zhang, Ruili and Sun, Yajuan},

  abstractNote = {},

  doi          = {10.1063/1.4935904},

  journal      = {Physics of Plasmas},

  number       = 11,

  volume       = 22,

  place        = {United States},

  year         = {2015},

  month        = {11}

}

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DOI: https://doi.org/10.1063/1.4935904

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

Citation Formats

Canonicalization and symplectic simulation of the gyrocenter dynamics in time-independent magnetic fields journal, March 2014

Variational symplectic algorithm for guiding center dynamics and its application in tokamak geometry journal, April 2009

Gauge properties of the guiding center variational symplectic integrator journal, May 2012

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Hamiltonian splitting for the Vlasov–Maxwell equations journal, February 2015

A variational multi-symplectic particle-in-cell algorithm with smoothing functions for the Vlasov-Maxwell system journal, October 2013

Comments on: The Maxwell-Vlasov equations as a continuous hamiltonian system journal, November 1981

The Maxwell-Vlasov equations as a continuous hamiltonian system journal, December 1980

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Comment on “Symplectic integration of magnetic systems” by Stephen D. Webb [J. Comput. Phys. 270 (2014) 570–576] journal, February 2015

VORPAL: a versatile plasma simulation code journal, May 2004

A Can0nical Integrati0n Technique journal, August 1983

Variational formulation of macro-particle plasma simulation algorithms journal, May 2014

Comment on “Hamiltonian splitting for the Vlasov–Maxwell equations” journal, September 2015

A symplectic integration algorithm for separable Hamiltonian functions journal, January 1991

Geometric Numerical Integration book, January 2002

Numerical study on Landau damping journal, October 2001

Fourth-order symplectic integration journal, May 1990

Hamiltonian gyrokinetic Vlasov–Maxwell system journal, September 2015

Discrete mechanics and variational integrators journal, May 2001

Collisionless Damping of Nonlinear Plasma Oscillations journal, January 1965

Variational symplectic algorithm for guiding center dynamics in the inner magnetosphere journal, May 2011

Why is Boris algorithm so good? journal, August 2013

Comment on “Symplectic integration of magnetic systems”: A proof that the Boris algorithm is not variational journal, November 2015

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Long-Time Behavior of Nonlinear Landau Damping journal, October 1997

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On Landau Damping journal, January 1961

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Variational integration for ideal magnetohydrodynamics with built-in advection equations journal, October 2014

Application of the phase space action principle to finite-size particle plasma simulations in the drift-kinetic approximation journal, November 2014

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Geometric integration of the Vlasov-Maxwell system with a variational particle-in-cell scheme journal, August 2012

Plasma Physics via Computer Simulation book, January 1991

Geometric gyrokinetic theory for edge plasmas journal, May 2007

Volume-preserving algorithms for charged particle dynamics journal, January 2015

On Landau damping journal, January 2011

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Canonicalization and symplectic simulation of the gyrocenter dynamics in time-independent magnetic fields
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Variational symplectic algorithm for guiding center dynamics and its application in tokamak geometry
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Gauge properties of the guiding center variational symplectic integrator
journal, May 2012

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journal, April 2015

Hamiltonian splitting for the Vlasov–Maxwell equations
journal, February 2015

A variational multi-symplectic particle-in-cell algorithm with smoothing functions for the Vlasov-Maxwell system
journal, October 2013

Comments on: The Maxwell-Vlasov equations as a continuous hamiltonian system
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The Maxwell-Vlasov equations as a continuous hamiltonian system
journal, December 1980

Variational Symplectic Integrator for Long-Time Simulations of the Guiding-Center Motion of Charged Particles in General Magnetic Fields
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Comment on “Symplectic integration of magnetic systems” by Stephen D. Webb [J. Comput. Phys. 270 (2014) 570–576]
journal, February 2015

VORPAL: a versatile plasma simulation code
journal, May 2004

A Can0nical Integrati0n Technique
journal, August 1983

Variational formulation of macro-particle plasma simulation algorithms
journal, May 2014

Comment on “Hamiltonian splitting for the Vlasov–Maxwell equations”
journal, September 2015

A symplectic integration algorithm for separable Hamiltonian functions
journal, January 1991

Geometric Numerical Integration
book, January 2002

Numerical study on Landau damping
journal, October 2001

Fourth-order symplectic integration
journal, May 1990

Hamiltonian gyrokinetic Vlasov–Maxwell system
journal, September 2015

Discrete mechanics and variational integrators
journal, May 2001

Collisionless Damping of Nonlinear Plasma Oscillations
journal, January 1965

Variational symplectic algorithm for guiding center dynamics in the inner magnetosphere
journal, May 2011

Why is Boris algorithm so good?
journal, August 2013

Comment on “Symplectic integration of magnetic systems”: A proof that the Boris algorithm is not variational
journal, November 2015

Volume-preserving algorithm for secular relativistic dynamics of charged particles
journal, April 2015

Variational symplectic particle-in-cell simulation of nonlinear mode conversion from extraordinary waves to Bernstein waves
journal, September 2015

Long-Time Behavior of Nonlinear Landau Damping
journal, October 1997

Symplectic integration of Hamiltonian systems
journal, May 1990

Field theory and weak Euler-Lagrange equation for classical particle-field systems
journal, October 2014

On Landau Damping
journal, January 1961

Conservative semi-Lagrangian schemes for Vlasov equations
journal, March 2010

Variational integration for ideal magnetohydrodynamics with built-in advection equations
journal, October 2014

Application of the phase space action principle to finite-size particle plasma simulations in the drift-kinetic approximation
journal, November 2014

Variational formulation of particle algorithms for kinetic plasma simulations
journal, July 2013

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Volume-preserving algorithms for charged particle dynamics
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On Landau damping
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Symplectic and energy-conserving algorithms for solving magnetic field trajectories
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The Hamiltonian structure of the Maxwell-Vlasov equations
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