论文标题
血浆物理学中Landau方程的光谱搭配方法
A spectral collocation method for the Landau equation in plasma physics
论文作者
论文摘要
在本文中，我们提出了一种光谱搭配方法，用于快速评估血浆物理学的Landau碰撞算子，这使我们能够获得光谱准确的数值溶液。该方法的灵感来自开创性的工作[36]，但是它是专门为库仑相互作用而设计的，该方法考虑了操作员的特定结构。它使我们能够减少离散卷积的数量，以提供Landau操作员的近似值。然后，我们表明该方法保留了总质量，而动量和能量则以光谱精度近似。提出了速度空间中三个维度的Landau方程的数值结果，以说明当前方法的效率。
In this paper we present a spectral collocation method for the fast evaluation of the Landau collision operator for plasma physics, which allows us to obtain spectrally accurate numerical solutions. The method is inspired by the seminal work [36], but it is specifically designed for Coulombian interactions, taking into account the particular structure of the operator. It allows us to reduce the number of discrete convolutions to provide an approximation of the Landau operator. Then, we show that the method preserves the total mass whereas momentum and energy are approximated with spectral accuracy. Numerical results for the Landau equation in three dimensions in velocity space are presented to illustrate the efficiency of the present approach.
