A Hybrid Method with Deviational Particles for Spatial Inhomogeneous Plasma
For computational plasma physics, this hybrid method offers a more efficient simulation approach for spatially inhomogeneous plasmas, particularly in fluid regimes.
The paper proposes a hybrid method (HDP) for simulating the inhomogeneous Vlasov-Poisson-Landau system, combining fluid and particle approaches with deviational particles. The method significantly improves efficiency over PIC-MCC, especially in the fluid regime.
In this work we propose a Hybrid method with Deviational Particles (HDP) for a plasma modeled by the inhomogeneous Vlasov-Poisson-Landau system. We split the distribution into a Maxwellian part evolved by a grid based fluid solver and a deviation part simulated by numerical particles. These particles, named deviational particles, could be both positive and negative. We combine the Monte Carlo method proposed in \cite{YC15}, a Particle in Cell method and a Macro-Micro decomposition method \cite{BLM08} to design an efficient hybrid method. Furthermore, coarse particles are employed to accelerate the simulation. A particle resampling technique on both deviational particles and coarse particles is also investigated and improved. The efficiency is significantly improved compared to a PIC-MCC method, especially near the fluid regime.