The Darwin Direct Implicit Particle-in-Cell (DADIPIC) Method for Simulation of Low Frequency Plasma Phenomena
The Darwin Direct Implicit Particle-in-Cell (DADIPIC) Method for Simulation of Low Frequency Plasma Phenomena
复制标题
用于模拟低频等离子体现象的达尔文直接隐式颗粒细胞 (DADIPIC) 方法
DOI：
10.1006/jcph.1995.1160
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发表时间：
1995
影响因子：
4.1
通讯作者：
D. Hewett
中科院分区：
文献类型：
--
作者：
M. Gibbons;D. Hewett
我们描述了一种新的算法，用于模拟等离子体中的低频动力学现象。达尔文直接隐式粒子网格（DADIPIC），顾名思义，是达尔文方法和直接隐式方法的结合。通过达尔文方法，将双曲型麦克斯韦方程组转化为椭圆型方程组.公式中不存在散射光波，因此消除了时间步长上的Courant约束。直接隐式方法只适用于静电场的结果，静电等离子体振荡不需要解决的稳定性。随着这些限制的消除，空间和时间的离散化可以比显式电动PIC大得多。本文讨论了二维笛卡尔几何中粒子推进和场求解的算法。我们还详细介绍了导体和导体的边界条件。最后，我们提出了两个测试案例，电子回旋波和无碰撞加热电感耦合等离子体。对于这些测试情况下，DADIPIC显示协议与解析动力学理论和良好的能量守恒特性。
We describe a new algorithm for simulating low frequency, kinetic phenomena in plasmas. Darwin direct implicit particle-in-cell (DADIPIC), as its name implies, is a combination of the Darwin and direct implicit methods. Through the Darwin method the hyperbolic Maxwell's equations are reformulated into a set of elliptic equations. Propagating light waves do not exist in the formulation so the Courant constraint on the time step is eliminated. The direct implicit method is applied only to the electrostatic field with the result that electrostatic plasma oscillations do not have to be resolved for stability. With the elimination of these constraints spatial and temporal discretization can be much larger than that possible with explicit, electrodynamic PIC. We discuss the algorithms for pushing the particles and solving for the fields in 2D cartesian geometry. We also detail boundary conditions for conductors and dielectrics. Finally, we present two test cases, electron cyclotron waves and collisionless heating in inductively coupled plasmas. For these test cases DADIPIC shows agreement with analytic kinetic theory and good energy conservation characteristics.