Portal de Periódicos da CAPES

The calculation of some Batchelor flows: The Sadovskii vortex and rotational corner flow

1988; AIP Publishing; Volume: 31; Issue: 5 Linguagem: Inglês

10.1063/1.866718

2163-4998

Dennis W. Moore, P. G. Saffman, S. Tanveer,

Computational Fluid Dynamics and Aerodynamics

Steady, inviscid, incompressible, two-dimensional flows with vortex patches bounded by vortex sheets (Batchelor flows) are calculated numerically. Two particular cases are considered: the vortex on a plane wall (Sadovskii vortex) and the vortex in a right-angled corner. Nonlinear integral equations are derived for the shape of the bounding vortex sheet which are solved numerically. Two different formulations are employed to check the results. Previous results by Sadovskii [Appl. Math. Mech. 35, 773 (1971)] and Chernyshenko (Royal Aircraft Establishment library translations Report No. 2133, 1983) for specific values of the parameters are confirmed. Only symmetrical solutions are found to exist.