Special features of vortex diagram in simulation of subsonic detached flow around the semi-infinite equivalent body

V. N. Timofeev

Bauman Moscow State Technical University

Abstract: The paper introduces some special features of mathematical simulation of subsonic detached flow around the bodies, the flow being localized in the vicinity of the ground shear. The formation of vortex diagram for the semi-infinite equivalent body is examined. The formulae for determining the vector functions of the vortex segments velocity are reduced to a form allowing one to easily pass to the limit as the points of the origin or ends of these segments are moved off to infinity. Furthermore, the study shows the relationships for finding the velocity function vectors of semi-infinite vortex segments and U-shaped vortex lines, the relationships being adapted for computer calculations. Findings of mathematical simulation of the flow around cylindrical bodies with the head part of the ogival form are given.

Keywords: mathematical simulation, subsonic detached flow, equivalent body, vortex diagram, discrete vortex method, base pressure.

UDC: 531.6.011.32:532.582.4:517.958

DOI: 10.18698/2309-3684-2017-4-7391