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Mathematical modeling of thermal convection in a 3D model of the “DAKON” convection sensor

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A three-dimensional time-dependent mathematical model of thermal convection in a cubic convection sensor is developed. An efficient numerical algorithm is designed for computing convective flows on the basis of quasi-hydrodynamic equations. Analysis of the calculation results suggests that, in the range of real microaccelerations, the 3D model does not add new effects to the structure of convective motion compared with simplified two-dimensional models. The conclusion is that simplified models can be beneficially used for the interpretation of measurements carried out with the DAKON convection sensor.

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

    T. G. Elizarova, I. S. Kalachinskaya & O. Yu. Milyukova

Authors
  1. T. G. Elizarova
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  2. I. S. Kalachinskaya
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  3. O. Yu. Milyukova
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Corresponding author

Correspondence to I. S. Kalachinskaya.

Additional information

Translated from Prikladnaya Matematika i Informatika, No. 36, pp. 36–48, 2010.

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Elizarova, T.G., Kalachinskaya, I.S. & Milyukova, O.Y. Mathematical modeling of thermal convection in a 3D model of the “DAKON” convection sensor. Comput Math Model 23, 23–33 (2012). https://doi.org/10.1007/s10598-012-9114-5

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  • DOI: https://doi.org/10.1007/s10598-012-9114-5

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