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Block-Adaptive Parallel Implicit Methods for Semirelativistic Multifluid Hall-MHD
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| Space missions have transformed our understanding of space and astrophysical environments into a more global picture. This wealth of data, however, will be of value only if we derive from these observations, and the subsequent interpretations, a clear understanding of the underlying and governing physical processes. It is here that a unifying multiscale, 3D model plays an essential role. The model must be sufficiently versatile to capture the complexity of the actual physical system. Then, by creating models that are consistent with the observations, the underlying and governing physical processes are revealed, and new phenomena, which are not currently available to observation, are suggested. This proposal requests support for the development of the next generation of such models. We propose a five year project to develop, implement and test a solution-adaptive, parallel code for multifluid semi-relativistic Hall MHD. The method used will be valid for magnetic fields ranging from very weak to strong enough that the Alfven speeds become relativistic. The analytical work will extend our earlier work in ideal MHD, semi-relativstic MHD, and high-moment models for rarefied flows. The code development will build on the implicit, parallel, block-adaptive framework developed here with previous support from the AISR program. The increased physical sophistication of the multifluid Hall model will allow us to calculate with improved fidelity space-weather events, Earth-ionosphere response, and outer-planet magnetosphere structure, as well as other applications in which resistivity and/or multiple species play a crucial role. Dealing with the additional complexity due to multiple species and the added Hall physics, as well as that due to the collisional processes, will require new development of numerical methods. In particular, work will need to be done on understanding the underlying Riemann problem of the extended equations, and on the effects that the collisional terms have on the evolution of the conservation-law system. However, this development can build on the existing framework for solution-adaptive, parallel ideal and semi-relativsic MHD, leading to a sophisticated physical model in a powerful, efficient computational framework. This proposal meets all three goals of this solicitation. It will help to reduce mission development time, risk, and cost through advanced simulation and design capabilities. These capabilities will be relevant for missions in solar and heliospheric physics, magnetospheric physics, planetary exploration and astrophysics. Finally, it increases interdisciplinary collaboration between space scientists (Gombosi), computational scientists (De Zeeuw, Powell), (De Zeeuw, Powell), plasma physicists (Sokolov, Toth) and computer scientists (Stout). This collaboration started over a decade ago and has resulted in a tightly integrated interdisciplinary team with a series of successful projects. |
Bibliography
| | Saturn's Variable Magnetosphere
Gombosi, Tamas; Kenneth Hansen; Science, 307 pp. 1224-1226
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| Space Weather Modeling Framework: A new tool for the space science community
Toth, Gabor; Igor Sokolov; Tamas Gombosi; D, R. Chesney, C. R. Clauer, D. L. De Zeeuw, K. C. Hansen, K. J. Kane, W. B. Manchester, R. C. Oehmke, K. G. Powell, A. J. Ridley, I. I. Roussev, Q. F. Stout, O. Volberg, R. A. Wolf, S. Sazykin, A. C, J. Geophys. Res., 110 pp. A12226
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