# Stable discrete representation of relativistically drifting plasmas

@article{Kirchen2016StableDR, title={Stable discrete representation of relativistically drifting plasmas}, author={Manuel Kirchen and R{\'e}mi Lehe and Brendan B. Godfrey and Irene Dornmair and Soeren Jalas and Kevin Peters and Jean-Luc Vay and Andreas R. Maier}, journal={Physics of Plasmas}, year={2016}, volume={23}, pages={100704-100704} }

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.

## 20 Citations

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

- PhysicsPhysical review. E
- 2020

The generalize this pseudospectral solver by incorporating spatial derivatives of arbitrary order, thereby enabling efficient parallelization by domain decomposition and derive the numerical dispersion relation of the algorithm and present a comprehensive theoretical stability analysis.

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

- PhysicsPhysical review. E
- 2016

It is shown that, for a plasma drifting at a uniform relativistic velocity, the NCI can be eliminated by simply integrating the PIC equations in Galilean coordinates that follow the plasma (also sometimes known as comoving coordinates) within a spectral analytical framework.

Simulation of plasma accelerators with the Particle-In-Cell method

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We present the standard electromagnetic Particle-in-Cell method, starting from the discrete approximation of derivatives on a uniform grid. The application to second-order, centered,…

On numerical errors to the fields surrounding a relativistically moving particle in PIC codes

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Accurate modeling of plasma acceleration with arbitrary order pseudo-spectral particle-in-cell methods

- Physics, Computer Science
- 2016

It is shown that acceptably low solver orders are sufficient to correctly model the physics of interest, while allowing for parallel computation by domain decomposition.

Simulations for Plasma and Laser Acceleration

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- 2016

Computer simulations have had a profound impact on the design and understanding of past and present plasma acceleration experiments, and will be a key component for turning plasma accelerators from a…

Toward Plasma Wakefield Simulations at Exascale

- Physics2018 IEEE Advanced Accelerator Concepts Workshop (AAC)
- 2018

Turning the current experimental plasma accelerator state-of-the-art from a promising technology into mainstream scientific tools depends critically on high-performance, high-fidelity modeling of…

Overcoming timestep limitations in boosted-frame particle-in-cell simulations of plasma-based acceleration.

- PhysicsPhysical review. E
- 2021

It is shown that it is possible to overcome traditional limitations on the timestep and thereby realize the full potential of the boosted-frame technique over a much wider range of parameters.

Summary of WG6: Theory and simulations

- Physics
- 2019

The presentations of working group 6 (theory and simulations) of the fourth edition of the European Advanced Accelerator Workshop presented new ideas for experimental schemes, analytical models, and…

Ultrahigh-order Maxwell solver with extreme scalability for electromagnetic PIC simulations of plasmas

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- 2018

## References

SHOWING 1-10 OF 54 REFERENCES

Effects of Hyperbolic Rotation in Minkowski Space on the Modeling of Plasma Accelerators in a Lorentz Boosted Frame

- Physics
- 2010

Laser driven plasma accelerators promise much shorter particle accelerators but their development requires detailed simulations that challenge or exceed current capabilities. We report the first…

Particle simulation of plasmas

- Physics
- 1983

For plasma with a large number of degrees of freedom, particle simulation using high-speed computers can offer insights and information that supplement those gained by traditional experimental and…

Numerical growth of emittance in simulations of laser-wakefield acceleration

- Physics
- 2013

Transverse emittance is a crucial feature of laser-wakefield accelerators, yet accurately reproducing its value in numerical simulations remains challenging. It is shown here that, when the charge of…

Particle-in-Cell modelling of laser-plasma interaction using Fourier decomposition

- PhysicsJ. Comput. Phys.
- 2009

Elimination of the numerical Cerenkov instability for spectral EM-PIC codes

- PhysicsComput. Phys. Commun.
- 2015

Numerical simulations of laser wakefield accelerators in optimal Lorentz frames

- PhysicsComput. Phys. Commun.
- 2010

THE MAXIMUM ENERGY OF ACCELERATED PARTICLES IN RELATIVISTIC COLLISIONLESS SHOCKS

- Physics
- 2013

The afterglow emission from gamma-ray bursts (GRBs) is usually interpreted as synchrotron radiation from electrons accelerated at the GRB external shock that propagates with relativistic velocities…