Numerical solution of the electron transport equation in the upper atmosphere

JOURNAL OF COMPUTATIONAL PHYSICS

卷:376

Article

Woods, M.¹  Sailor, W.¹  Holmes, M.² 

[1] Sandia Natl Labs, Dept Phenomenol & Sensor Sci, Albuquerque, NM 87185 USA

[2] Rensselaer Polytech Inst, Dept Math Sci, Troy, NY 12180 USA

关键词: Integro-differential equation;    Stiff boundary value problem;    Upwind difference method;    Electron transport;    Upper atmosphere;   

DOI  :  10.1016/j.jcp.2018.09.028

来源: Elsevier

【 摘 要 】

A new approach for solving the electron transport equation in the upper atmosphere is derived. The problem is a very stiff boundary value problem, and to obtain an accurate numerical solution, matrix factorizations are used to decouple the fast and slow modes. A stable finite difference method is applied to each mode. This solver is applied to a simplified problem for which an exact solution exists using various versions of the boundary conditions that might arise in a natural auroral display. The numerical and exact solutions are found to agree with each other, verifying the method. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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