The investigation aims at developing advanced methods for flow-field analysis particularly for transitional and turbulent flows. The work deals
with decomposition techniques, mainly with decomposition of motion and vorticity. The vortex-identification criterion under development at
present is associated with the corotation of line segments near a point and with the so-called residual vorticity obtained after the 'removal' of
local shearing motion. The new quantity - the average corotation - is a vector, thus it provides a good starting point for developing both regionand
line-type vortex-identification methods, especially predictor-corrector type schemes. Further, the project aims to analyze the strain-rate
skeleton so as to draw a more complete picture of the flow. For testing purposes, large-scale numerical experiments based on the solution of
the Navier-Stokes equations (NSE) will be performed for selected 3D flow problems using finite element method on parallel supercomputers.
Some qualitative properties of the solutions to the NSE will be studied and described in detail.
grants
