论文标题
一种隐式,保守和渐近保护静电粒子算法,用于在均匀磁场中任意磁化等离子体
An implicit, conservative and asymptotic-preserving electrostatic particle-in-cell algorithm for arbitrarily magnetized plasmas in uniform magnetic fields
论文作者
论文摘要
我们引入了一种新的静电粒子算法,该算法能够在均匀的外部磁场下与粒子陀螺仪相比使用大的时间段。该算法通过新的渐近保护粒子孔孔方案扩展了早期的静电完全隐式PIC实现,该方案允许时间段比粒子陀螺仪大得多。在大型隔离限制中,积分器保留了所有粒子漂移,同时恢复了小时间步长的整个轨道。该方案允许对并存磁性和未磁化物种对颗粒进行无缝,有效的处理,并保存能量并精确地充电而不会破坏隐式求解器性能。通过数值实验,我们证明了可变物种磁化的几个问题(二极管不稳定性,修饰的两流不稳定性和漂移不稳定性)表明,在不牺牲解决方案准确性的情况下,可能可能实现了数量级的壁锁定时间加速级与标准完全隐式静电图片算法。
We introduce a new electrostatic particle-in-cell algorithm capable of using large timesteps compared to particle gyro-period under a uniform external magnetic field. The algorithm extends earlier electrostatic fully implicit PIC implementations with a new asymptotic-preserving particle-push scheme that allows timesteps much larger than particle gyroperiods. In the large-timestep limit, the integrator preserves all particle drifts, while recovering the full orbit for small timesteps. The scheme allows for a seamless, efficient treatment of particles with coexisting magnetized and unmagnetized species, and conserves energy and charge exactly without spoiling implicit solver performance. We demonstrate by numerical experiment with several problems of variable species magnetization (diocotron instability, modified two-stream instability, and drift instability) that orders of magnitude wall-clock-time speedups vs. the standard fully implicit electrostatic PIC algorithm are possible without sacrificing solution accuracy.