论文标题
库仑碰撞的粒子粒子代码碰撞的结构保存标记物粒子离散
Structure-preserving marker-particle discretizations of Coulomb collisions for particle-in-cell codes
论文作者
论文摘要
本文在动力学等离子体模型中贡献了离散库仑碰撞的新见解。基于先前的作品[Carrillo等。 J. Comp。物理。 X 7：100066（2020），Hirvijoki和Burby Phys。等离子体27（8）：082307（2020）]，我建议用于标准Landau碰撞算子和静电旋风旋转的Landau运算符的确定性离散时间和具有阳性的，具有熵的，分离熵的标记粒子方案。如果是标准的Landau操作员，该计划还保留了离散的时动力动量。 [Carrillo等。 J. Comp。物理。 X 7：100066（2020），Hirvijoki和Burby Phys。等离子体27（8）：082307（2020）]到离散时间，通过利用所涉及的碰撞运算符和所谓的离散级积分器的基本元齐截形结构来使其成为可能。
This paper contributes new insights into discretizing Coulomb collisions in kinetic plasma models. Building on the previous works [Carrillo et al. J. Comp. Phys. X 7:100066 (2020), Hirvijoki and Burby Phys. Plasmas 27(8):082307 (2020)], I propose deterministic discrete-time energy- and positivity-preserving, entropy-dissipating marker-particle schemes for the standard Landau collision operator and the electrostatic gyrokinetic Landau operator. In case of the standard Landau operator, the scheme preserves also the discrete-time kinetic momentum. The improvements, the extensions of the structure-preserving discretizations in [Carrillo et al. J. Comp. Phys. X 7:100066 (2020), Hirvijoki and Burby Phys. Plasmas 27(8):082307 (2020)] to discrete time, are made possible by exploiting the underlying metriplectic structure of the collision operators involved and the so-called discrete-gradient integrators.
