Novosibirsk, Russia, May, 30 – June, 4, 2011

International Conference
"Modern Problems of Applied Mathematics and Mechanics: Theory, Experiment and Applications", devoted to the 90th anniversary of professor Nikolai N. Yanenko

Tsepelev I.A.   Короткий А.И.  

Numerical implementation of retroospective model of thermal convection of high viscous fluid

Reporter: Tsepelev I.A.

The issues of numerical modeling of the retrospective problem of thermal convection of a high inhomogeneous incompressible conducting fluid are considered. These models are used, for example, when studying the processes of evolution of sedimentary basins and salt diapirs in the crust, heat convection in the Earth's mantle, the movement of continents under the influence of mantle flow and many other problems in geophysics. The numerical simulation of the retrospective problems for these models is a relatively new direction in the field of geodynamics. Attention to these problems is increasing due to the increased performance of modern computers and the expanding range of applications.
A mathematical model thermoconvective flow of highly viscous fluid in the backward direction in time includes the boundary value problem to determine of the velocity field and the final value problem to determine the temperature. To get quality results of the numerical implementation of the problem should be carried out on a sufficiently fine mesh with the involvement of multiprocessor computers.
Sufficiently effective methods and algorithms for numerical simulation of problems that would break it up into several independent subproblems and solve them in parallel were developed. The results of numerical simulation of the restoration of the temperature field in the Japan Sea during preceding 30 million years will be presented.

Abstracts file: YNN-90.doc
Full text file: NN-dokl-Tsepelev-Kor.pdf

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