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Title: A fully implicit, conservative, non-linear, electromagnetic hybrid particle-ion/fluid-electron algorithm

Abstract

The quasi-neutral hybrid model with kinetic ions and fluid electrons is a promising approach for bridging the inherent multi-scale nature of many problems in space and laboratory plasmas. A novel, implicit, particle-in-cell based scheme for the hybrid model is derived for fully 3D electromagnetic problems with multiple ion species, which features global mass, momentum and energy conservation. The scheme includes sub-cycling and orbit-averaging for the ions, with cell-centered finite differences and implicit midpoint time advance. To reduce discrete particle noise, the scheme allows arbitrary-order shape functions for the particle-mesh interpolations and the application of conservative binomial smoothing. The algorithm is verified for a number of test problems to demonstrate the correctness of the implementation, the unique conservation properties, and the favorable stability properties of the new scheme. In particular, there is no indication of unstable growth of the finite-grid instability for a population of cold ions drifting through a uniform spatial mesh, in a set-up where several commonly used non-conservative schemes are highly unstable.

Authors:
ORCiD logo [1]; ORCiD logo [1];  [1]
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  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1477697
Alternate Identifier(s):
OSTI ID: 1756197
Report Number(s):
LA-UR-18-21708
Journal ID: ISSN 0021-9991
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 376; Journal ID: ISSN 0021-9991
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; hybrid; plasma; particle-in-cell; implicit; conservative; finite grid instability

Citation Formats

Stanier, A., Chacón, L., and Chen, G. A fully implicit, conservative, non-linear, electromagnetic hybrid particle-ion/fluid-electron algorithm. United States: N. p., 2018. Web. doi:10.1016/j.jcp.2018.09.038.
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Stanier, A., Chacón, L., & Chen, G. A fully implicit, conservative, non-linear, electromagnetic hybrid particle-ion/fluid-electron algorithm. United States. https://doi.org/10.1016/j.jcp.2018.09.038
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Stanier, A., Chacón, L., and Chen, G. Thu . "A fully implicit, conservative, non-linear, electromagnetic hybrid particle-ion/fluid-electron algorithm". United States. https://doi.org/10.1016/j.jcp.2018.09.038. https://www.osti.gov/servlets/purl/1477697.
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@article{osti_1477697,
title = {A fully implicit, conservative, non-linear, electromagnetic hybrid particle-ion/fluid-electron algorithm},
author = {Stanier, A. and Chacón, L. and Chen, G.},
abstractNote = {The quasi-neutral hybrid model with kinetic ions and fluid electrons is a promising approach for bridging the inherent multi-scale nature of many problems in space and laboratory plasmas. A novel, implicit, particle-in-cell based scheme for the hybrid model is derived for fully 3D electromagnetic problems with multiple ion species, which features global mass, momentum and energy conservation. The scheme includes sub-cycling and orbit-averaging for the ions, with cell-centered finite differences and implicit midpoint time advance. To reduce discrete particle noise, the scheme allows arbitrary-order shape functions for the particle-mesh interpolations and the application of conservative binomial smoothing. The algorithm is verified for a number of test problems to demonstrate the correctness of the implementation, the unique conservation properties, and the favorable stability properties of the new scheme. In particular, there is no indication of unstable growth of the finite-grid instability for a population of cold ions drifting through a uniform spatial mesh, in a set-up where several commonly used non-conservative schemes are highly unstable.},
doi = {10.1016/j.jcp.2018.09.038},
journal = {Journal of Computational Physics},
number = ,
volume = 376,
place = {United States},
year = {Thu Sep 20 00:00:00 EDT 2018},
month = {Thu Sep 20 00:00:00 EDT 2018}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.jcp.2018.09.038
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Cited by: 11 works
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Figures / Tables:

Figure 1 Figure 1: Comparison study between an explicit leapfrog-based momentum-conserving scheme (red, see Appendix D.1), a predictor-corrector method (green, see Appendix D.2), and the new implicit conservative algorithm (blue). Top panel: Particle phase space distribution (xp, vxp) at t = 8.8Δx/Cs (400 steps). Second panel: Change in total momentum vs timemore » (the red and blue traces overlap). Third panel: Total energies (ion kinetic + electron thermal) vs time. Bottom panel: Ion-to-electron temperature ratio vs time on a logarithmic scale, with initial$T$i/$T$e = 1/600.« less
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    Works referencing / citing this record:

    PolyPIC: the Polymorphic-Particle-in-Cell Method for Fluid-Kinetic Coupling
    text, January 2018

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      Figure C.5 (p. 22)figure
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