Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Russian participants

The solving of three-dimensional Navier-Stokes equations by method of finite elements

Volkov P.K., Pereverzev A.V.

Space Materials Science Research Center of IC RAS (Kaluga)

The grids are under construction by a method Delonau triangulation with the task of condensations at firm walls and in corners. The velocity and pressure come nearer polinomial of the second degree. All expressions for matrixes of elements are integrated analytically. The method Fedoseev regularization is used. The system of the equations МКЭ was solved in common for speeds and pressure by a code CNSPACK (А.I.Fedoseev). The accounts of currents cubed with a driven top cover are carried out. There is a conformity of accounts with the data with consecutive definition of velocity and pressure. The new classes of the solutions are received. All solutions are in the consent with conclusions of the theory of similarity.

The work is maintained RFFI and Administration of the Kaluga area (№ 00-01-96004, № 01-01-96021).

Note. Abstracts are published in author's edition

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