Stable discrete representation of relativistically drifting plasmas

Kirchen, M.; Lehe, R.; Godfrey, B. B.; Dornmair, I.; Jalas, S.; Peters, K.; Vay, J. -L.; Maier, A. R.

doi:10.1063/1.4964770

Title: Stable discrete representation of relativistically drifting plasmas

Journal Article · Sat Oct 01 00:00:00 EDT 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4964770· OSTI ID:1328565

Kirchen, M.; Lehe, R.;

; Dornmair, I.; Jalas, S.; Peters, K.; Vay, J. -L.;

Representing the electrodynamics of relativistically drifting particle ensembles in discrete, co-propagating Galilean coordinates enables the derivation of a Particle-In-Cell algorithm that is intrinsically free of the numerical Cherenkov instability for plasmas flowing at a uniform velocity. Application of the method is shown by modeling plasma accelerators in a Lorentz-transformed optimal frame of reference.

View Journal Article

Cite

Export

Save

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1328565

Alternate ID(s):: OSTI ID: 1393079; OSTI ID: 1421101

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Vol. 23 Journal Issue: 10; ISSN 1070-664X

Publisher:: American Institute of PhysicsCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 18 works

Citation information provided by
Web of Science

References (26)

Principles and capabilities of 3-D, E-M particle simulations Buneman, O.; Barnes, C. W.; Green, J. C. Journal of Computational Physics, Vol. 38, Issue 1 https://doi.org/10.1016/0021-9991(80)90010-8	journal	November 1980
Particle simulation of plasmas Dawson, John M. Reviews of Modern Physics, Vol. 55, Issue 2 https://doi.org/10.1103/RevModPhys.55.403	journal	April 1983
Plasma Physics via Computer Simulation Birdsall, C. K.; Langdon, A. B. https://doi.org/10.1201/9781315275048	book	January 1991
Physics of laser-driven plasma-based electron accelerators Esarey, E.; Schroeder, C. B.; Leemans, W. P. Reviews of Modern Physics, Vol. 81, Issue 3 https://doi.org/10.1103/RevModPhys.81.1229	journal	August 2009
Noninvariance of Space- and Time-Scale Ranges under a Lorentz Transformation and the Implications for the Study of Relativistic Interactions Vay, J. -L. Physical Review Letters, Vol. 98, Issue 13 https://doi.org/10.1103/PhysRevLett.98.130405	journal	March 2007
The Maximum Energy of Accelerated Particles in Relativistic Collisionless Shocks Sironi, Lorenzo; Spitkovsky, Anatoly; Arons, Jonathan The Astrophysical Journal, Vol. 771, Issue 1 https://doi.org/10.1088/0004-637X/771/1/54	journal	June 2013
Numerical Cherenkov instabilities in electromagnetic particle codes Godfrey, Brendan B. Journal of Computational Physics, Vol. 15, Issue 4 https://doi.org/10.1016/0021-9991(74)90076-X	journal	August 1974
Canonical momenta and numerical instabilities in particle codes Godfrey, Brendan B. Journal of Computational Physics, Vol. 19, Issue 1 https://doi.org/10.1016/0021-9991(75)90116-3	journal	September 1975
Numerical stability of relativistic beam multidimensional PIC simulations employing the Esirkepov algorithm Godfrey, Brendan B.; Vay, Jean-Luc Journal of Computational Physics, Vol. 248 https://doi.org/10.1016/j.jcp.2013.04.006	journal	September 2013
Numerical instability due to relativistic plasma drift in EM-PIC simulations Xu, Xinlu; Yu, Peicheng; Martins, Samual F. Computer Physics Communications, Vol. 184, Issue 11 https://doi.org/10.1016/j.cpc.2013.07.003	journal	November 2013
Modeling Laser Wakefield Accelerators in a Lorentz Boosted Frame Vay, J. -L.; Geddes, C. G. R.; Benedetti, C. ADVANCED ACCELERATOR CONCEPTS: 14th Advanced Accelerator Concepts Workshop, AIP Conference Proceedings https://doi.org/10.1063/1.3520322	conference	January 2010
Numerical methods for instability mitigation in the modeling of laser wakefield accelerators in a Lorentz-boosted frame Vay, J. -L.; Geddes, C. G. R.; Cormier-Michel, E. Journal of Computational Physics, Vol. 230, Issue 15 https://doi.org/10.1016/j.jcp.2011.04.003	journal	July 2011
Effects of hyperbolic rotation in Minkowski space on the modeling of plasma accelerators in a Lorentz boosted frame Vay, J. -L.; Geddes, C. G. R.; Cormier-Michel, E. Physics of Plasmas, Vol. 18, Issue 3 https://doi.org/10.1063/1.3559483	journal	March 2011
Numerical simulations of laser wakefield accelerators in optimal Lorentz frames Martins, Samuel F.; Fonseca, Ricardo A.; Silva, Luís O. Computer Physics Communications, Vol. 181, Issue 5 https://doi.org/10.1016/j.cpc.2009.12.023	journal	May 2010
Suppressing the numerical Cherenkov instability in FDTD PIC codes Godfrey, Brendan B.; Vay, Jean-Luc Journal of Computational Physics, Vol. 267 https://doi.org/10.1016/j.jcp.2014.02.022	journal	June 2014
Improved numerical Cherenkov instability suppression in the generalized PSTD PIC algorithm Godfrey, Brendan B.; Vay, Jean-Luc Computer Physics Communications, Vol. 196 https://doi.org/10.1016/j.cpc.2015.06.008	journal	November 2015
Numerical stability analysis of the pseudo-spectral analytical time-domain PIC algorithm Godfrey, Brendan B.; Vay, Jean-Luc; Haber, Irving Journal of Computational Physics, Vol. 258 https://doi.org/10.1016/j.jcp.2013.10.053	journal	February 2014
Numerical Stability Improvements for the Pseudospectral EM PIC Algorithm Godfrey, Brendan B.; Vay, Jean-Luc; Haber, Irving IEEE Transactions on Plasma Science, Vol. 42, Issue 5 https://doi.org/10.1109/TPS.2014.2310654	journal	May 2014
Elimination of the numerical Cerenkov instability for spectral EM-PIC codes Yu, Peicheng; Xu, Xinlu; Decyk, Viktor K. Computer Physics Communications, Vol. 192 https://doi.org/10.1016/j.cpc.2015.02.018	journal	July 2015
Mitigation of numerical Cerenkov radiation and instability using a hybrid finite difference-FFT Maxwell solver and a local charge conserving current deposit Yu, Peicheng; Xu, Xinlu; Tableman, Adam Computer Physics Communications, Vol. 197 https://doi.org/10.1016/j.cpc.2015.08.026	journal	December 2015
Novel methods in the Particle-In-Cell accelerator Code-Framework Warp Vay, J-L; Grote, D. P.; Cohen, R. H. Computational Science & Discovery, Vol. 5, Issue 1 https://doi.org/10.1088/1749-4699/5/1/014019	journal	January 2012
Particle-in-Cell modelling of laser–plasma interaction using Fourier decomposition Lifschitz, A. F.; Davoine, X.; Lefebvre, E. Journal of Computational Physics, Vol. 228, Issue 5 https://doi.org/10.1016/j.jcp.2008.11.017	journal	March 2009
A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm Lehe, Rémi; Kirchen, Manuel; Andriyash, Igor A. Computer Physics Communications, Vol. 203 https://doi.org/10.1016/j.cpc.2016.02.007	journal	June 2016
Numerical growth of emittance in simulations of laser-wakefield acceleration Lehe, R.; Lifschitz, A.; Thaury, C. Physical Review Special Topics - Accelerators and Beams, Vol. 16, Issue 2 https://doi.org/10.1103/PhysRevSTAB.16.021301	journal	February 2013
Detailed analysis of the effects of stencil spatial variations with arbitrary high-order finite-difference Maxwell solver Vincenti, H.; Vay, J. -L. Computer Physics Communications, Vol. 200 https://doi.org/10.1016/j.cpc.2015.11.009	journal	March 2016
A domain decomposition method for pseudo-spectral electromagnetic simulations of plasmas Vay, Jean-Luc; Haber, Irving; Godfrey, Brendan B. Journal of Computational Physics, Vol. 243 https://doi.org/10.1016/j.jcp.2013.03.010	journal	June 2013

Cited By (3)

Accurate modeling of plasma acceleration with arbitrary order pseudo-spectral particle-in-cell methods Jalas, S.; Dornmair, I.; Lehe, R. Physics of Plasmas, Vol. 24, Issue 3 https://doi.org/10.1063/1.4978569	journal	March 2017
Efficient start-to-end 3D envelope modeling for two-stage laser wakefield acceleration experiments Massimo, F.; Beck, A.; Derouillat, J. Plasma Physics and Controlled Fusion, Vol. 61, Issue 12 https://doi.org/10.1088/1361-6587/ab49cf	journal	October 2019
Numerical studies on electron beam quality optimization in a laser-driven plasma accelerator with external injection at SINBAD for ATHENA _e Svystun, E. N.; Assmann, R. W.; Dorda, U. Journal of Physics: Conference Series, Vol. 1350 https://doi.org/10.1088/1742-6596/1350/1/012058	journal	November 2019

Similar Records

Scalable spectral solver in Galilean coordinates for eliminating the numerical Cherenkov instability in particle-in-cell simulations of streaming plasmas

Journal Article · Tue Jul 07 00:00:00 EDT 2020 · Physical Review. E · OSTI ID:1328565

Kirchen, Manuel; Lehe, Remi; Jalas, Soeren; +3 more

Elimination of numerical Cherenkov instability in flowing-plasma particle-in-cell simulations by using Galilean coordinates

Journal Article · Mon Nov 14 00:00:00 EST 2016 · Physical Review E · OSTI ID:1328565

Lehe, Remi; Kirchen, Manuel; Godfrey, Brendan B.; +2 more

ON THE MAGNETIZATION OF COSMIC OUTFLOWS: PLASMA MODES AND INSTABILITIES OF UNMAGNETIZED PLASMA BEAMS

Journal Article · Sat May 01 00:00:00 EDT 2010 · Astrophysical Journal · OSTI ID:1328565

Michno, M J; Schlickeiser, R

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Relativistic plasmas
Maxwell equations
Particle-in-cell method
Astrophysical plasmas
Plasma instabilities

Title: Stable discrete representation of relativistically drifting plasmas

Citation Formats

References (26)

Cited By (3)

Similar Records

Related Subjects