Symplectic particle-in-cell methods for hybrid plasma models with Boltzmann electrons and space-charge effects
arXiv:2306.11555 · doi:10.1017/S0022377824001053
Abstract
We study the geometric particle-in-cell methods for an electrostatic hybrid plasma model. In this model, ions are described by the fully kinetic equations, electron density is determined by the Boltzmann relation, and space-charge effects are incorporated through the Poisson equation. By discretizing the action integral or the Poisson bracket of the hybrid model, we obtain a finite dimensional Hamiltonian system, for which the Hamiltonian splitting methods or the discrete gradient methods can be used to preserve the geometric structure or energy. The global neutrality condition is conserved under suitable boundary conditions. Moreover, the results are further developed for an electromagnetic hybrid model proposed in [Vu H X. J Comput Phys, 124(2):417-430]. Numerical experiments of finite grid instability, Landau damping, and resonantly excited nonlinear ion waves illustrate the behaviour of the proposed numerical methods.
22 pages, 6 figures
References in corpus (17)
- GEMPIC: Geometric ElectroMagnetic Particle-In-Cell Methods
- Structure and structure-preserving algorithms for plasma physics
- A Hamiltonian splitting for the Vlasov-Maxwell system
- Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems
- Pegasus: A New Hybrid-Kinetic Particle-in-Cell Code for Astrophysical Plasma Dynamics
- Canonical symplectic particle-in-cell method for long-term large-scale simulations of the Vlasov-Maxwell system
- Hamiltonian integration methods for Vlasov-Maxwell equations
- Energy-conserving time propagation for a geometric particle-in-cell Vlasov--Maxwell solver
- Hamiltonian particle-in-cell methods for Vlasov-Maxwell equations
- A Legendre-Fourier spectral method with exact conservation laws for the Vlasov-Poisson system
- A fully implicit, conservative, non-linear, electromagnetic hybrid particle-ion/fluid-electron algorithm
- Finite grid instability and spectral fidelity of the electrostatic Particle-In-Cell algorithm
- Numerical approximation of the Euler-Poisson-Boltzmann model in the quasineutral limit
- Comment on "Hamiltonian splitting for the Vlasov-Maxwell equations"
- Field theory and structure-preserving geometric particle-in-cell algorithm for drift wave instability and turbulence
- A Spectral Canonical Electrostatic Algorithm
- Hamiltonian Particle-in-Cell methods for Vlasov-Poisson equations