非相对论粒子模拟中基于精确速度流的保体积粒子积分器
Volume-preserving particle integrator based on exact flow of velocity for nonrelativistic particle-in-cell simulations
摘要：
本文根据粒子在恒定电场和磁场中的运动方程的精确流，用分裂法构造了一个非相对论粒子的粒子积分器。该积分器是体积保持类似于标准的鲍里斯积分器，是适合于长期的粒子在细胞模拟积分。数值试验表明，它是显着更准确的比以前的体积保持积分器的二阶精度。例如，在$E \times B$漂移测试中，该积分器比Boris积分器和基于陀螺仪运动精确解的积分器分别精确三个和两个数量级。此外，我们推导出近似积分器，产生低计算成本和高精度积分器显示第四至第十阶精度的援助的组合方法。这些积分器也是体积保持的。它还表明，鲍里斯积分器是等价的最简单的情况下，在这项研究中导出的近似积分。
英文摘要：
We construct a particle integrator for nonrelativistic particles by means of the splitting method based on the exact flow of the equation of motion of particles in the presence of constant electric and magnetic field. This integrator is volume-preserving similar to the standard Boris integrator and is suitable for long-term integrations in particle-in-cell simulations. Numerical tests reveal that it is significantly more accurate than previous volume-preserving integrators with second-order accuracy. For example, in the $E \times B$ drift test, this integrator is more accurate than the Boris integrator and the integrator based on the exact solution of gyro motion by three and two orders of magnitude, respectively. In addition, we derive approximate integrators that incur low computational cost and high-precision integrators displaying fourth- to tenth-order accuracy with the aid of the composition method. These integrators are also volume-preserving. It is also demonstrated that the Boris integrator is equivalent to the simplest case of the approximate integrators derived in this study.
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