Discretizing Maxwell's equations in Galilean (comoving) coordinates allows the derivation of a pseudospectral solver that eliminates the numerical Cherenkov instability for electromagnetic particle-in-cell simulations of relativistic plasmas flowing at a uniform velocity. Here we generalize this solver by incorporating spatial derivatives of arbitrary order, thereby enabling efficient parallelization by domain decomposition. This allows scaling of the algorithm to many distributed compute units. We derive the numerical dispersion relation of the algorithm and present a comprehensive theoretical stability analysis. The method is applied to simulations of plasma acceleration in a Lorentz-boosted frame of reference.

中文翻译：

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伽利略坐标中的可扩展频谱求解器可消除流式等离子体的单元格模拟中的数值Cherenkov不稳定性。

在伽利略（旋转）坐标中离散麦克斯韦方程组，可以推导伪谱求解器，从而消除了以均匀速度流动的相对论性等离子体的电磁粒子模拟中的数值Cherenkov不稳定性。在这里，我们通过合并任意阶的空间导数来概括此求解器，从而通过域分解实现有效的并行化。这允许将算法缩放到许多分布式计算单元。我们推导了算法的数值色散关系，并提出了全面的理论稳定性分析。该方法适用于在Lorentz增强参考框架中模拟等离子体加速度。