V.Gorban, I.Gorban Theoretical study of vortex generation and vortex dynamics in channels |
Applied hydromechanics, Vol. 5 (77) ¹ 3, (2003) |
| A motion of two-dimensional inviscid vortices in channels of various configurations is studied. In particular, channels with abrupt broadening and with a junction are considered. The conditions under which one vortex in such a channel is in equilibrium in respect to the flow are derived. The vortex in the equilibrium is characterized by the eigenfrequency due to that it responds selectively on periodic perturbations of the channel flow. A coupled Lagrangian-Eulerian numerical scheme for modeling vortical flows of viscouse fluid in the channels is developed. The scheme uses the Lagrangian vortex method to simulate the convection of the vorticity and an Eulerian finite difference implementation on an adaptive mesh for the equation of diffusion. The scheme is applied to simulation of interactions of the viscous vortex with channel walls and to describing the flow pattern in the channels of complex configuration. The special technique for a flow control in the channel with a junction is analysed. It uses the interceptors mounted before the junction. The flow patterns and optimal parameters of the control elements are derived. |
|
KEY WORDS: *** |
| TEXT LANGUAGE: Ukrainian |