标题： 漂移动力学和完全动力学 Vlasov-Maxwell 方程的几何粒子离散化 显示英文标题

标题： A geometric Particle-In-Cell discretization of the drift-kinetic and fully kinetic Vlasov-Maxwell equations

摘要： 本文中，我们将几何粒子-in-细胞框架从对偶网格扩展到无规范漂移动能Vlasov–Maxwell模型及其与完全动能模型的耦合。 我们在对偶网格上为我们的漂移动能模型推导出一个离散作用量原理，使得动力学系统仅涉及电场和磁场，而不涉及势能，这与其他大多数漂移动能和回旋动能模型不同。 这产生了一个包含极化和磁化项的宏观麦克斯韦方程，可以与完全动能模型直接耦合。 显示英文摘要

摘要： In this paper, we extend the geometric Particle in Cell framework on dual grids to a gauge-free drift-kinetic Vlasov--Maxwell model and its coupling with the fully kinetic model. We derive a discrete action principle on dual grids for our drift-kinetic model, such that the dynamical system involves only the electric and magnetic fields and not the potentials as most drift-kinetic and gyrokinetic models do. This yields a macroscopic Maxwell equation including polarization and magnetization terms that can be coupled straightforwardly with a fully kinetic model.