The refilling of the plasmasphere following geomagnetic storms remains one of the longstanding and interesting problems in ionosphere–magnetosphere coupling research. The objective of this paper is the formulation and development of a one-dimensional (1D) refilling model using the flux-corrected transport method, a numerical method that is well-suited to handling problems with shocks and discontinuities. In this paper, the developed methodology has been validated against exact, analytical benchmarks, and good agreement has been obtained between these analytical benchmarks and numerical results. The objective of this research is the development of a three-dimensional (3D) multi-ion model for ionosphere–magnetosphere coupling problems in open and closed line geometries.

中文翻译：

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针对地磁风暴后等离子体层再填充问题的基于“通量校正传输”的解决方案方法的开发和验证

地磁暴之后等离子体层的重新填充仍然是电离层-磁层耦合研究中长期存在且有趣的问题之一。本文的目标是使用通量校正传输方法制定和开发一维 (1D) 再填充模型，这是一种非常适合处理冲击和不连续问题的数值方法。在本文中，所开发的方法已针对精确的分析基准进行了验证，并且在这些分析基准和数值结果之间获得了良好的一致性。这项研究的目标是开发一个三维 (3D) 多离子模型，用于解决开放和封闭线几何中的电离层-磁层耦合问题。