Numerical Simulation of Three-Dimensional Instability of Flow past a Short Cylinder / A. I. Aleksyuk, V. P. Shkadova, and V. Ya. Shkadov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2016. № 1. P. 25-30 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 1-6].

The plane-parallel flow past an infinitely long circular cylinder becomes three-dimensional starting with Reynolds numbers \mathop{\rm{Re}}\nolimits \approx 190. The corresponding instability mode is called mode A. When \mathop{\rm{Re}}\nolimits \approx 260, vortex structures with a smaller cross scale are formed in the wake as a result of a secondary three-dimensional instability (mode B). The transition to three-dimensionality for a short cylinder bounded by planes is considered. The length of the cylinder is chosen to eliminate the unstable perturbations of mode A. Two instability modes similar to modes A and B modified under the effect of the bounding lateral planes are found. The problems of three-dimensional flow are numerically solved using the Navier–Stokes equations.

Key words: viscous fluid, three-dimensional flows, flow around a cylinder, instability, mode A, mode B.