Structure-preserving strategy for conservative simulation of the relativistic nonlinear Landau-Fokker-Planck equation
Structure-preserving strategy for conservative simulation of the relativistic nonlinear Landau-Fokker-Planck equation
复制标题
相对论非线性朗道-福克-普朗克方程保守模拟的结构保持策略
DOI：
10.1103/physreve.99.053309
复制
发表时间：
2019
影响因子：
2.4
通讯作者：
Sentoku Yasuhiko
中科院分区：
文献类型：
--
作者：
Shiroto Takashi;Sentoku Yasuhiko
Beliaev-Budker核的数学对称性是相对论Landau-Fokker-Planck方程的最重要结构。然而，在大多数数值模拟中，其中一种对称性没有保留在离散水平上，导致违反能量守恒。最近，我们提出了一个电荷动量能量守恒的相对论Vlasov-Maxwell方案，通过保留离散形式的数学公式，在这里，我们将这个概念应用到相对论Landau-Fokker-Planck方程。通过相对论碰撞弛豫的数值实验，证明了在没有任何人为约束的情况下的质量-动量-能量守恒模拟。
Mathematical symmetries of the Beliaev-Budker kernel are the most important structure of the relativistic Landau-Fokker-Planck equation. In most numerical simulations, however, one of the symmetries is not preserved in the discrete level resulting in a violation of the energy conservation. Recently, we proposed a charge-momentum-energy-conserving relativistic Vlasov-Maxwell scheme by preserving mathematical formulas in discrete form, and here we apply the concept to the relativistic Landau-Fokker-Planck equation. Through a numerical experiment of relativistic collisional relaxation, a mass-momentum-energy-conserving simulation has been demonstrated without any artificial constraints.