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Instabilities in Extreme Magnetoconvection

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Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 50))

Abstract

Thermal convection in an electrically conducting fluid (for example, a liquid metal) in the presence of a static magnetic field is considered in this chapter. The focus is on the extreme states of the flow, in which both buoyancy and Lorentz forces are very strong. It is argued that the instabilities occurring in such flows are often of unique and counter-intuitive nature due to the action of the magnetic field, which suppresses conventional turbulence and gives preference to two-dimensional instability modes not appearing in more conventional convection systems. Tools of numerical analysis suitable for such flows are discussed.

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Acknowledgements

The authors are thankful to Dmitry Krasnov for the continuing support of the computational tools used for the simulations presented in this paper. The work was supported by the US NSF (Grants CBET 1232851 and 1435269) and by the Ministry of Education and Science of the Russian Federation (Project No. 13.9619.2017/8.9).

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Authors and Affiliations

  1. University of Michigan - Dearborn, Dearborn, MI, 48128, USA

    Oleg Zikanov

  2. National Research University “Moscow Power Engineering Institute”, Moscow, 111250, Russia

    Yaroslav Listratov

  3. Max Plank Institute for Dynamics and Self-Organization, 37077, Göttingen, Germany

    Xuan Zhang

  4. Joint Institute for High Temperatures RAS, Moscow, 125412, Russia

    Valentin Sviridov

Authors
  1. Oleg Zikanov
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  2. Yaroslav Listratov
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  3. Xuan Zhang
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  4. Valentin Sviridov
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Correspondence to Oleg Zikanov .

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Editors and Affiliations

  1. School of Mechanical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv, Israel

    Alexander Gelfgat

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Zikanov, O., Listratov, Y., Zhang, X., Sviridov, V. (2019). Instabilities in Extreme Magnetoconvection. In: Gelfgat, A. (eds) Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics. Computational Methods in Applied Sciences, vol 50. Springer, Cham. https://doi.org/10.1007/978-3-319-91494-7_11

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  • DOI: https://doi.org/10.1007/978-3-319-91494-7_11

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