# An energy- and charge-conserving, nonlinearly implicit, electromagnetic 1D-3V Vlasov-Darwin particle-in-cell algorithm

@article{Chen2013AnEA, title={An energy- and charge-conserving, nonlinearly implicit, electromagnetic 1D-3V Vlasov-Darwin particle-in-cell algorithm}, author={Guangye Chen and Luis Chac{\'o}n}, journal={Comput. Phys. Commun.}, year={2013}, volume={185}, pages={2391-2402} }

## 40 Citations

### A multi-dimensional, energy- and charge-conserving, nonlinearly implicit, electromagnetic Vlasov-Darwin particle-in-cell algorithm

- PhysicsComput. Phys. Commun.
- 2015

### A semi-implicit, energy- and charge-conserving particle-in-cell algorithm for the relativistic Vlasov-Maxwell equations

- PhysicsJ. Comput. Phys.
- 2020

### An Energy-Conserving Fourier Particle-in-Cell Method with Asymptotic-Preserving Preconditioner for Vlasov-Ampère System with Exact Curl-Free Constraint

- Computer ScienceArXiv
- 2022

Comparisons are made among the proposed energy-conserving scheme, the classical leapfrog scheme, and a Strang operator-splitting scheme to demonstrate the superiority of the proposed method, especially for plasma systems crossing physical scales.

### Fluid preconditioning for Newton-Krylov-based, fully implicit, electrostatic particle-in-cell simulations

- Computer ScienceJ. Comput. Phys.
- 2014

### Energy-conserving perfect-conductor boundary conditions for an implicit, curvilinear Darwin particle-in-cell algorithm

- PhysicsJ. Comput. Phys.
- 2019

### Charge-conserving, variational particle-in-cell method for the drift-kinetic Vlasov-Maxwell system

- PhysicsArXiv
- 2019

The proposed method could be used to simulate electromagnetic turbulence in fusion experiments or space plasmas that exhibit a strong background magnetic field while retaining all of the ion physics, most of the necessary electron physics, yet eliminating perhaps the biggest obstacle in reaching macroscopic transport time scales in kinetic simulations, namely the electron cyclotron time scale.

### A curvilinear, fully implicit, conservative electromagnetic PIC algorithm in multiple dimensions

- Computer ScienceJ. Comput. Phys.
- 2016

### Verification of a fully implicit particle-in-cell method for the v ∥-formalism of electromagnetic gyrokinetics in the XGC code

- PhysicsPhysics of Plasmas
- 2021

A fully implicit particle-in-cell method for handling the v‖-formalism of electromagnetic gyrokinetics has been implemented in XGC. By choosing the v‖ formalism, we avoid introducing the non-physical…

### An energy-conserving and asymptotic-preserving charged-particle orbit implicit time integrator for arbitrary electromagnetic fields

- PhysicsJ. Comput. Phys.
- 2020

### An Implicit, Conservative and Asymptotic-Preserving Electrostatic Particle-in-Cell Algorithm for Arbitrarily Magnetized Plasmas in Uniform Magnetic Fields

- PhysicsSSRN Electronic Journal
- 2022

We introduce a new electrostatic particle-in-cell algorithm capable of using large timesteps compared to particle gyro-period under a uniform external magnetic ﬁeld. The algorithm extends earlier…

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