Hamiltonian particle-in-cell methods for Vlasov-Maxwell equations

• DOI: 10.1063/1.4962573
• Publication Date: 2016-09-16T17:00:25Z
• Authors: Yang He; Yajuan Sun; Hong Qin; Jian Liu
• Keywords: Vlasov Equation; Particle-in-cell; Hamiltonian (control theory); Plasma Modeling

In this paper, we study the Vlasov-Maxwell equations based on Morrison-Marsden-Weinstein bracket. We develop Hamiltonian particle-in-cell methods for system by employing finite element in space and splitting time. order to derive semi-discrete that possesses a discrete non-canonical Poisson structure, present criterion choosing appropriate spaces. It is confirmed some conforming elements, e.g., Nédélec's mixed satisfy requirement. When method used discretize time, resulting algorithm explicit preserves structure. The structure-preserving nature of ensures accuracy fidelity numerical simulations over long