相对论性laser -等离子体相互作用的可调阻尼直接隐式粒子模拟
Particle-in-cell modelling of relativistic laser-plasma interaction with the adjustable damping, direct implicit method
摘要：
隐式粒子-细胞代码提供的优势，他们明确的同行，因为他们遭受较弱的稳定性约束的需要，以解决系统的较高频率模式。这个功能可能被证明是特别有价值的建模高强度激光脉冲与超临界等离子体的相互作用，在这种情况下，在密集的区域中的静电模式是可以忽略不计的影响下研究的物理过程。为此，我们在直接隐式方法的相对论扩展基础上，开发了新的二维电磁场程序ELIXIRS（Electromagnetic Implicit X-dimensional Iterative Relativistic Solver）[D. Hewett和A. B. Langdon，J. Comp. Phys. \textbf{72}，121（1987）]。利用可调阻尼电磁解算器实现了光波在真空中的无耗散传播。在德拜长度未解的高密度情况下，通过使用高阶权重因子来确保令人满意的能量守恒。在本文中，我们首先提出了一个原始的推导电磁直接隐式方法的牛顿迭代格式。它的线性特性，然后通过数值求解光和等离子体波，占有限的空间和时间步长获得的关系色散研究。最后，我们的代码是成功的基准对明确的粒子在细胞模拟两种物理问题：等离子体膨胀到真空和相对论激光等离子体相互作用。在这两种情况下，我们将展示的鲁棒性的隐式求解器原油离散化，以及在效率上的增益，可以实现标准的显式模拟。
英文摘要：
Implicit particle-in-cell codes offer advantages over their explicit counterparts in that they suffer weaker stability constraints on the need to resolve the higher frequency modes of the system. This feature may prove particularly valuable for modeling the interaction of high-intensity laser pulses with overcritical plasmas, in the case where the electrostatic modes in the denser regions are of negligible influence on the physical processes under study. To this goal, we have developed the new two-dimensional electromagnetic code ELIXIRS (standing for ELectromagnetic Implicit X-dimensional Iterative Relativistic Solver) based on the relativistic extension of the so-called Direct Implicit Method [D. Hewett and A. B. Langdon, J. Comp. Phys. \textbf{72}, 121(1987)]. Dissipation-free propagation of light waves into vacuum is achieved by an adjustable-damping electromagnetic solver. In the high-density case where the Debye length is not resolved, satisfactory energy conservation is ensured by the use of high-order weight factors. In this paper, we first present an original derivation of the electromagnetic direct implicit method within a Newton iterative scheme. Its linear properties are then investigated through numerically solving the relation dispersions obtained for both light and plasma waves, accounting for finite space and time steps. Finally, our code is successfully benchmarked against explicit particle-in-cell simulations for two kinds of physical problems: plasma expansion into vacuum and relativistic laser-plasma interaction. In both cases, we will demonstrate the robustness of the implicit solver for crude discretizations, as well as the gains in efficiency which can be realized over standard explicit simulations.
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