周期聚焦通道中带电粒子束的两尺度半拉格朗日模拟
Two-scale semi-lagrangian simulation of a charged particle beam in a periodic focusing channel
AI总结：
针对强振荡电场中的带电粒子束，采用两尺度收敛模型和向后半拉格朗日方法进行数值模拟，并提出新的相空间网格简化泊松方程求解，通过长时间模拟验证了方法的有效性。
摘要：
本文致力于对受到强振荡电场作用的带电粒子束进行数值模拟。为此，我们考虑如下两尺度数值方法：首先，我们回顾通过两尺度收敛技术获得的两尺度模型；然后，我们使用向后半拉格朗日方法对该极限模型进行数值求解，并提出一种新的相空间网格，从而简化泊松方程的求解。最后，我们展示了通过新方法获得的一些数值结果，并通过长时间模拟验证了其效率。
英文摘要：
This paper is devoted to numerical simulation of a charged particle beam submitted to a strong oscillating electric field. For that, we consider a two-scale numerical approach as follows: we first recall the two-scale model which is obtained by using two-scale convergence techniques; then, we numerically solve this limit model by using a backward semi-lagrangian method and we propose a new mesh of the phase space which allows us to simplify the solution of the Poisson's equation. Finally, we present some numerical results which have been obtained by the new method, and we validate its efficiency through long time simulations.
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