This article is cited in 5 papers

Direct and inverse problems of high-viscosity fluid dynamics

A. I. Korotkii, I. A. Tsepelev

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

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.

PACS: 47.55.pb, 47.11.-j, 47.63.mf, 02.30.Zz

Presented by the member of Editorial Board: A. I. Kibzun

Received: 18.12.2006

 English version: Automation and Remote Control, 2007, 68:5, 822–833

Bibliographic databases:

• 
• 
•