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X-dispersionless Maxwell solver for plasma-based particle acceleration
Journal of Computational Physics ( IF 4.1 ) Pub Date : 2020-06-01 , DOI: 10.1016/j.jcp.2020.109622
Alexander Pukhov

A semi-implicit finite difference time domain (FDTD) numerical Maxwell solver is developed for full electromagnetic Particle-in-Cell (PIC) codes for the simulations of plasma-based acceleration. The solver projects the volumetric Yee lattice into planes transverse to a selected axis (the particle acceleration direction). The scheme - by design - removes the numerical dispersion of electromagnetic waves running parallel the selected axis. The fields locations in the transverse plane are selected so that the scheme is Lorentz-invariant for relativistic transformations along the selected axis. The solver results in “Galilean shift” of transverse fields by exactly one cell per time step. This eases greatly the problem of numerical Cerenkov instability (NCI). The fields positions build rhombi in plane (RIP) patterns. The RIP scheme uses a compact local stencil that makes it perfectly suitable for massively parallel processing via domain decomposition along all three dimensions. No global/local spectral methods are involved.



中文翻译:

X色散麦克斯韦求解器,用于基于等离子体的粒子加速

开发了半隐式有限差分时域(FDTD)数值麦克斯韦求解器,用于全电磁粒子中(PIC)代码,用于基于等离子体的加速度模拟。求解器将体积Yee晶格投影到与所选轴(粒子加速方向)垂直的平面中。通过设计,该方案消除了与所选轴平行的电磁波的数值分散。选择横向平面中的场位置,以使该方案对于沿所选轴的相对论变换是Lorentz不变的。求解器导致横向场的“盖利移位”是每个时间步长仅一个单元格。这大大减轻了数值切伦科夫不稳定性(NCI)的问题。场位置在平面(RIP)模式中构建菱形。RIP方案使用了紧凑的局部模版,使其非常适合通过所有三个维度上的域分解进行大规模并行处理。不涉及全局/局部频谱方法。

更新日期:2020-06-01
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