论文标题
对相对论vlasov的粒子中的能源颗粒方法 - 激光与血浆相互作用
Energy conserving particle-in-cell methods for relativistic Vlasov--Maxwell equations of laser-plasma interaction
论文作者
论文摘要
为一类减少的相对论vlasov-马克斯韦方程构建了能源保护粒子方案。数值解满足了离散的泊松方程。具体而言，使用粒子中的粒子法离散分布函数，使用兼容的有限元方法在外部积分的有限元框架中使用兼容的有限元方法进行离散化，并且使用的时间离散化基于离散的梯度方法，结合了Poisson splitting。进行参数不稳定性的数值实验是为了验证构建的数值方法的保护属性和良好的长时间行为。
Energy conserving particle-in-cell schemes are constructed for a class of reduced relativistic Vlasov--Maxwell equations of laser-plasma interaction. Discrete Poisson equation is also satisfied by the numerical solution. Specifically, distribution function is discretized using particle-in-cell method, discretization of electromagnetic fields is done using compatible finite element method in the framework of finite element of exterior calculus, and time discretization used is based on discrete gradient method combined with Poisson splitting. Numerical experiments of parametric instability are done to validate the conservation properties and good long time behavior of the numerical methods constructed.
