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首页> 外文期刊>Journal of Computational Physics >Numerical methods for instability mitigation in the modeling of laser wakefield accelerators in a Lorentz-boosted frame
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Numerical methods for instability mitigation in the modeling of laser wakefield accelerators in a Lorentz-boosted frame

机译：洛伦兹增强框架中激光尾波加速器建模中减轻不稳定性的数值方法

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摘要

Modeling of laser-plasma wakefield accelerators in an optimal frame of reference [1] has been shown to produce orders of magnitude speed-up of calculations from first principles. Obtaining these speedups required mitigation of a high-frequency instability that otherwise limits effectiveness. In this paper, methods are presented which mitigated the observed instability, including an electromagnetic solver with tunable coefficients, its extension to accommodate Perfectly Matched Layers and Friedman's damping algorithms, as well as an efficient large bandwidth digital filter. It is observed that choosing the frame of the wake as the frame of reference allows for higher levels of filtering or damping than is possible in other frames for the same accuracy. Detailed testing also revealed the existence of a singular time step at which the instability level is minimized, independently of numerical dispersion. A combination of the techniques presented in this paper prove to be very efficient at controlling the instability, allowing for efficient direct modeling of 10. GeV class laser plasma accelerator stages. The methods developed in this paper may have broader application, to other Lorentz-boosted simulations and Particle-In-Cell simulations in general.
机译：已经证明，在最佳参考系[1]中对激光等离子尾场加速器进行建模可以从第一原理中获得数量级的计算加速。要获得这些加速，就需要减轻高频不稳定性，否则会限制有效性。在本文中，提出了减轻观察到的不稳定性的方法，包括具有可调系数的电磁解算器，其扩展以适应完美匹配层和弗里德曼的阻尼算法，以及有效的大带宽数字滤波器。可以看出，与相同精度的其他帧相比，选择尾流帧作为参考帧可以实现更高级别的滤波或阻尼。详细的测试还揭示了存在一个奇异的时间步长，在该时间步长处，与数值离散无关，可以将不稳定性级别降至最低。事实证明，结合本文中介绍的技术可以非常有效地控制不稳定性，从而可以对10 GeV类激光等离子体加速器级进行有效的直接建模。一般而言，本文开发的方法在其他Lorentz增强模拟和单元粒子模拟中可能具有更广泛的应用。

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