论文标题
源自相空间保护的vlasov算法
A Vlasov Algorithm Derived from Phase Space Conservation
论文作者
论文摘要
解决弗拉索夫方程的现有方法将系统视为相位空间网格上的部分微分方程，并在Eulerian，Lagrangian或Semi-Lagrangian图片中跟踪。我们提出了一种替代方法，该方法将vlasov方程视为相位空间上的保守流，并使用类似于粒子中的粒子方法的粒子挤压算法得出其运动方程。对网格的沉积是由局部基础函数的卷积确定的。这种方法的好处是允许在网格中进行柔性定义，这与相空间流的发展方式相脱了。我们提出数值示例，并评论算法的各种属性。
Existing approaches to solving the Vlasov equation treat the system as a partial differential equation on a phase space grid, and track in either an Eulerian, Lagrangian, or semi-Lagrangian picture. We present an alternative approach, which treats the Vlasov equation as a conservative flow on phase space, and derives its equations of motion using particle-pushing algorithms akin to particle-in-cell methods. Deposition to the grid is determined from the convolution of local basis functions. This approach has the benefit of allowing flexible definitions in the grid, which are decoupled from how the phase space flow evolves. We present numerical examples and comment on the various properties of the algorithm.
