Direct and inverse problems of high-viscosity fluid dynamics

  • Authors:

  • A. I. Korotkii;I. A. Tsepelev

  • Affiliations:

  • Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia;Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2007

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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.