基于三维输运和双极扩散方程的地球电离层F区数值模型

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Russian Journal of Numerical Analysis and Mathematical Modelling Pub Date : 2023-12-05 DOI:10.1515/rnam-2023-0027

Dmitry V. Kulyamin, Sergey V. Kostrykin, Pavel A. Ostanin, Valentin P. Dymnikov

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引用次数: 0

摘要

本文详细介绍了数值数学研究所(INMIM)地球电离层三维动力学模型中输运方案的数值实现。本文提出的INM-IM模式考虑了100 ~ 500 km(对应F区)范围内离子输运和双极扩散的全局动力学过程。该模型基于劈裂法在第一步上求解双极扩散方程，在第二步上加入专门设计的平流输运方案。通过解析解对模型中运输方案实施的准确性进行了研究。即使在传输速度接近极值的情况下，也证明了数值算法的稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Numerical model of Earth ionosphere F region based on three-dimensional transport and ambipolar diffusion equations

The paper provides a detailed description of the numerical implementation of the transport scheme in the Earth’s ionosphere three-dimensional dynamical model of the Institute of Numerical Mathematics (INMIM). The presented version of INM-IM model takes into account the global dynamical processes of ion transport and ambipolar diffusion in the altitude range between 100 and 500 km (corresponding to F region). Based upon the splitting method the model solves the equations of ambipolar diffusion on the first split step and incorporates specifically designed advective transport scheme on the second step. The accuracy of transport scheme implementation in the model has been investigated through analytical solutions. The stability of the numerical algorithm has been demonstrated even for cases when transport velocities approaching extreme values.

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来源期刊

Russian Journal of Numerical Analysis and Mathematical Modelling 数学-工程：综合

CiteScore

1.40

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Russian Journal of Numerical Analysis and Mathematical Modelling, published bimonthly, provides English translations of selected new original Russian papers on the theoretical aspects of numerical analysis and the application of mathematical methods to simulation and modelling. The editorial board, consisting of the most prominent Russian scientists in numerical analysis and mathematical modelling, selects papers on the basis of their high scientific standard, innovative approach and topical interest. Topics: -numerical analysis- numerical linear algebra- finite element methods for PDEs- iterative methods- Monte-Carlo methods- mathematical modelling and numerical simulation in geophysical hydrodynamics, immunology and medicine, fluid mechanics and electrodynamics, geosciences.