A numerical study of initial flow past a circular cylinder with combined streamwise and transverse oscillations

This paper is a numerical study of the initial flow past a circular cylinder with combined streamwise and transverse oscillations. The motion is governed by the two-dimensional unsteady Navier–Stokes equations in non-primitive variables. The method of solution is based on conjugating the perturbation theory with the collocation method. The development of the physical properties of the flow at early times is captured. Comparisons with existing results verify the accuracy of the present results.

► We studied numerically initial flow past a cylinder with combined 2-DoF oscillation.
► We generalize some theoretical results to make the computer implementation easier.
► We modify the technique of Collins and Dennis by utilizing the collocation method.