P. G. Yakovlev, S. A. Karabasov, V. M. Goloviznin, “Direct simulation of interacting vortex pairs”, Matem. Mod., 2011, Volume 23, Number 11,Pages <nobr>21

This article is cited in 3 papers

Direct simulation of interacting vortex pairs

P. G. Yakovlev^a, S. A. Karabasov^b, V. M. Goloviznin^c

^a TsAGI Acoustics Branch, Moscow, Russia
^b Cambridge University Engineering Department, Cambridge, UK
^c Institute of Nuclear Safety RAS, Moscow, Russia

Abstract: The coupled problem of dynamics and acoustics of two interacting vortex pairs is studied numerically for a range of Reynolds numbers, Re=5000–10000. The computations are performed on a Eulerian grid with the CABARET method. Two main integral characteristics of the vortex system, such as the period of vortex sleep through and the velocity of their centre of mass, as obtained from the computational solution, are compared with the analytical potential theory solution available for point vortices. Numerical grid sensitivity study is performed both for the hydrodynamic near-field and acoustic far-field solutions obtained.

Keywords: fluid dynamics, vortex interaction, acoustics, high-resolution computational methods, CABARET scheme.

Received: 14.02.2011