Abstract
we simulated the effects of initial conditions on the properties and structure of the hydromagnetic dynamo a rotating spherical layer. We developed an MHD code for the computational experiments adapted for hybrid computing systems with GPUs. We obtained quasi-stationary solutions with the stable energy of the generated magnetic field. The impact of the Rayleigh number on the solutions is also studied.
References
Wicht J., Sanchez S. Advances in Geodynamo Modelling. Geophysical and Astrophysical Fluid Dynamics. 2019;113(1–2):2–50. DOI: 10.1080/03091929.2019.1597074.
Yadav R. K., Gastine T., Christensen U. R., Wolk S. J., Poppenhaeger K. Approaching a Realistic Force Balance in Geodynamo Simulations. Proceedings of the National Academy of Sciences of the United States of America. 2016;113(43):12065–12070. DOI: 10.1073/pnas.1608998113.
Aubert J., Gastine T., Fournier A. Spherical Convective Dynamos in the Rapidly Rotating Asymptotic Regime. Journal of Fluid Mechanics. 2017;813:558–593. DOI: 10.1017/jfm.2016.789.
Schaeffer N., Jault D., Nataf H. C., Fournier A. Turbulent Geodynamo Simulations: a Leap Towards Earth’s Core. Geophysical Journal International. 2017;211:1–29. DOI: 10.1093/gji/ggx265.
Aubert J. State and Evolution of the Geodynamo from Numerical Models Reaching the Physical Conditions of Earth’s Core. Geophysical Journal International. 2023;235(1):468–487. DOI: 10.1093/gji/ggad229.
Aubert J. Geomagnetic Acceleration and Rapid Hydromagnetic Wave Dynamics in Advanced Numerical Simulations of the Geodynamo. Geophysical Journal International. 2018;214(1):531–547. DOI: 10.1093/gji/ggy161.
Nakagawa T., Davies C. J. Combined Dynamical and Morphological Characterisation of Geodynamo Simulations. Earth and Planetary Science Letters. 2022;594:117752. DOI: 10.1016/j.epsl.2022.117752.
Petitdemange L. Systematic Parameter Study of Dynamo Bifurcations in Geodynamo Simulations. Physics of the Earth and Planetary Interiors. 2018;277:113–132. DOI: 10.1016/j.pepi.2018.02.001.
Бычин И. В., Гореликов А. В., Ряховский А. В. Численное решение начально-краевой задачи с вакуумными граничными условиями для уравнения индукции магнитного поля в шаре. Вестник Томского государственного университета. Математика и механика. 2020;64:15–30.
Бычин И. В., Гореликов А. В., Ряховский А. В. Схема дискретизации уравнения индукции на смещенных сетках в ортогональных криволинейных координатах. Успехи кибернетики. 2022;3(2):60–73. DOI: 10.51790/2712-9942-2022-3-2-8.
Бычин И. В. Тестирование магнитогидродинамического кода на задачах естественной конвекции и геодинамо. Успехи кибернетики. 2021;2(1):6–13. DOI: 10.51790/2712-9942-2021-2-1-1.
Christensen U. R., Aubert J., Cardin P., Dormy E., Gibbons S. A Numerical Dynamo Benchmark. Physics of the Earth and Planetary Interiors. 2001;128:25–34. DOI: 10.1016/S0031-9201(01)00275-8.