弗拉索夫关于GPU（VOG项目）
Vlasov on GPU (VOG Project)
摘要：
本文主要研究了在图形处理器（GPU）上利用半拉格朗日方法对Vlasov-Poisson方程组进行数值模拟。为了实现这一目标，必须对传统方法进行修改。首先，半拉格朗日方法进行了重新制定，这使我们能够重写的控制方程作为一个循环矩阵上的未知向量操作。可以使用FFT例程有效地执行该乘积计算。其次，为了克服GPU固有的单精度的局限性，采用了δf型方法，该方法只需要在相空间的特定区域进行细化，而不需要对整个相空间进行细化。因此，GPU Vlasov-Poisson求解器确实可以执行高精度模拟（因为它使用非常高阶的重建方法和相空间中的大量网格点）。我们显示结果，而学术测试情况下的朗道阻尼和物理相关的现象，如尾部不稳定性和模拟的动力学静电电子非线性（KEEN）波的颠簸。
英文摘要：
This work concerns the numerical simulation of the Vlasov-Poisson set of equations using semi- Lagrangian methods on Graphical Processing Units (GPU). To accomplish this goal, modifications to traditional methods had to be implemented. First and foremost, a reformulation of semi-Lagrangian methods is performed, which enables us to rewrite the governing equations as a circulant matrix operating on the vector of unknowns. This product calculation can be performed efficiently using FFT routines. Second, to overcome the limitation of single precision inherent in GPU, a δf type method is adopted which only needs refinement in specialized areas of phase space but not throughout. Thus, a GPU Vlasov-Poisson solver can indeed perform high precision simulations (since it uses very high order reconstruction methods and a large number of grid points in phase space). We show results for rather academic test cases on Landau damping and also for physically relevant phenomena such as the bump on tail instability and the simulation of Kinetic Electrostatic Electron Nonlinear (KEEN) waves.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
