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Title: Time-step dependent force interpolation scheme for suppressing numerical Cherenkov instability in relativistic particle-in-cell simulations

Journal Article · · Journal of Computational Physics
ORCiD logo [1]; ORCiD logo [2];  [2];  [2];  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Rice Univ., Houston, TX (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Rice Univ., Houston, TX (United States)

The WT scheme, a piecewise polynomial force interpolation scheme with time-step dependency, is proposed in this paper for relativistic particle-in-cell (PIC) simulations. The WT scheme removes the lowest order numerical Cherenkov instability (NCI) growth rate for arbitrary time steps allowed by the Courant condition. While NCI from higher order resonances is still present, the numerical tests show that for smaller time steps, the numerical instability grows much slower than using the optimal time step found in previous studies. The WT scheme is efficient for improving the quality and flexibility of relativistic PIC simulations.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1825431
Alternate ID(s):
OSTI ID: 1615098
Report Number(s):
LA-UR-19-29419; TRN: US2215808
Journal Information:
Journal of Computational Physics, Vol. 413; ISSN 0021-9991
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 5 works
Citation information provided by
Web of Science

References (15)

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Finite grid instability and spectral fidelity of the electrostatic Particle-In-Cell algorithm journal October 2016
Numerical instability due to relativistic plasma drift in EM-PIC simulations journal November 2013
Alternating-order interpolation in a charge-conserving scheme for particle-in-cell simulations journal February 2013
The Maximum Energy of Accelerated Particles in Relativistic Collisionless Shocks journal June 2013
A systematic approach to numerical dispersion in Maxwell solvers journal March 2018
A Note on the Generation of Random Normal Deviates journal June 1958
Particle-in-cell charged-particle simulations, plus Monte Carlo collisions with neutral atoms, PIC-MCC journal April 1991
Numerical Cherenkov instabilities in electromagnetic particle codes journal August 1974
Improved numerical Cherenkov instability suppression in the generalized PSTD PIC algorithm journal November 2015
Exact charge conservation scheme for Particle-in-Cell simulation with an arbitrary form-factor journal April 2001
On energy and momentum conservation in particle-in-cell plasma simulation journal July 2016
Contemporary particle-in-cell approach to laser-plasma modelling journal September 2015

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