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

Novosibirsk participants

The dynamics of turbulent wake behind self-propelled body

Demenkov A.G., Kostomakha V.A., Chernykh G.G.

Kutateladze Institute of Thermophysics SD RAS (Novosibirsk) Institute of computational technologies SD RAS (Novosibirsk) Lavrentiev Institute of hydrodynamics SD RAS (Novosibirsk)

The longitudional component of excess momentum J and angular momentum M are the most important integral characteristics of the hydrodynamic wake past a body moving in unbounded fluid. The laws of turbulent motion in the wake essentially depend on these parameters. The present study deals with the numerical simulation of the wake when both the momentum and the angular momentum take zero values. The flow pattern is calculated within the framework of the thin shear layer approximation for nonclosed system of the motion and continuity equations. The closed system of equations is written for two different formulations of the closure relations. The numerical solution of the problem is performed with the use of the finite-difference algorithm realised on moving grids. The algorithm is conservative with respect to the laws of conservation of the momentum and the angular momentum. The experimentally measured distributions are used as the initial conditions. Both the models described agree well with the experimental data. It is demonstrated that at the large distances downstream from the body the solution of the problem approaches the self-similar one. Simplified models of far turbulent wake behind self-propelled body have been constructed. The rezults of numerical simulation of dynamics of passive scalar in swirling wakes have been prezented.

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Note. Abstracts are published in author's edition

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