A Fixed-point Scheme for the Numerical Construction of Magnetohydrostatic Atmospheres in Three Dimensions
| Autor: | G. Barnes, S. A. Gilchrist, D. C. Braun |
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| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Physics
Scheme (programming language) Generality 010504 meteorology & atmospheric sciences Numerical analysis FOS: Physical sciences Astronomy and Astrophysics Fixed point 01 natural sciences Article Nonlinear system Astrophysics - Solar and Stellar Astrophysics Space and Planetary Science 0103 physical sciences Physics::Space Physics Code (cryptography) Applied mathematics Helioseismology Focus (optics) 010303 astronomy & astrophysics computer Solar and Stellar Astrophysics (astro-ph.SR) 0105 earth and related environmental sciences computer.programming_language |
| Popis: | Magnetohydrostatic models of the solar atmosphere are often based on idealized analytic solutions because the underlying equations are too difficult to solve in full generality. Numerical approaches, too, are often limited in scope and have tended to focus on the two-dimensional problem. In this article we develop a numerical method for solving the nonlinear magnetohydrostatic equations in three dimensions. Our method is a fixed-point iteration scheme that extends the method of Grad and Rubin (Proc. 2nd Int. Conf. on Peaceful Uses of Atomic Energy 31, 190, 1958) to include a finite gravity force. We apply the method to a test case to demonstrate the method in general and our implementation in code in particular. Accepted for publication in Solar Physics |
| Databáze: | OpenAIRE |
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