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Direct and inverse problems of high-viscosity fluid dynamics

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Abstract

Methods and algorithms of numerical simulation for three-dimensional thermal-convective motions of the inhomogeneous high-viscosity incompressible fluid in the direct and inverse time are described. In contrast to the direct-time problem, the inverse-time problem is ill-posed; to solve it, one of the variants of the quasi-reversibility method is used. The main attention is focused on the organization of effective computing processes on parallel-action computers. As an example, simulation results of the inverse problem of restoration of development history of thermal mantle plumes are given.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia

    A. I. Korotkii & I. A. Tsepelev

Authors
  1. A. I. Korotkii
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  2. I. A. Tsepelev
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Original Russian Text © A.I. Korotkii, I.A. Tsepelev, 2007, published in Avtomatika i Telemekhanika, 2007, No. 5, pp. 84–96.

This work was supported by the Russian Foundation for Basic Research, projects nos. 04-07-90120, 05-01-00098.

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Korotkii, A.I., Tsepelev, I.A. Direct and inverse problems of high-viscosity fluid dynamics. Autom Remote Control 68, 822–833 (2007). https://doi.org/10.1134/S0005117907050098

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  • DOI: https://doi.org/10.1134/S0005117907050098

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