Numerical solution of the electron transport equation in the upper atmosphere
Journal Article
·
· Journal of Computational Physics
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Rensselaer Polytechnic Inst., Troy, NY (United States). Dept. of Mathematical Sciences
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.
- Research Organization:
- Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Organization:
- USDOE National Nuclear Security Administration (NNSA)
- Grant/Contract Number:
- AC04-94AL85000
- OSTI ID:
- 1478331
- Alternate ID(s):
- OSTI ID: 1702376
- Report Number(s):
- SAND--2017-8093J; 655787
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: C Vol. 376; ISSN 0021-9991
- Publisher:
- ElsevierCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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