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首页> 外文期刊>Journal of Computational Physics >Implementation of high order spline interpolations for tracking test particles in discretized fields
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Implementation of high order spline interpolations for tracking test particles in discretized fields

机译：实现高阶样条插值以跟踪离散场中的测试粒子

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摘要

A systematic approach for constructing high order spline interpolation methods is proposed for fields known on regular, rectangular grids. These interpolation methods are tested in tracking trajectories of particles submitted to a force that derives from a potential known on a grid. The interplay between the time advancement scheme and the spatial interpolation is studied in detail and it is shown how the order of the trajectory solver is directly affected by the order of the spline interpolation. It is also shown how an interpolation method that preserves topological properties of physical fields can be better exploited with these higher order spline approximations.
机译：针对规则矩形网格上已知的场，提出了一种构建高阶样条插值方法的系统方法。这些插值方法在跟踪受力的粒子的轨迹中进行了测试，该力源自网格上已知的电势。详细研究了时间提前方案与空间插值之间的相互作用，并显示了样条插值的顺序如何直接影响轨迹求解器的顺序。还显示了如何使用这些高阶样条逼近更好地利用保留物理场拓扑特性的插值方法。

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