Numerical solutions for steady flow past a circular cylinder at Reynolds numbers up to 100

Abstract

Finite-difference solutions of the equations of motion for steady incompressible flow around a circular cylinder have been obtained for a range of Reynolds numbers from R = 5 to R = 100. The object is to extend the Reynolds number range for reliable data on the steady flow, particularly with regard to the growth of the wake. The wake length is found to increase approximately linearly with R over the whole range from the value, just below R = 7, at which it first appears. Calculated values of the drag coefficient, the angle of separation, and the pressure and vorticity distributions over the cylinder surface are presented. The development of these properties with Reynolds number is consistent, but it does not seem possible to predict with any certainty their tendency as R → ∞. The first attempt to obtain the present results was made by integrating the time-dependent equations, but the approach to steady flow was so slow at higher Reynolds numbers that the method was abandoned.

Local moving least square‐one‐dimensional integrated radial basis function networks technique for incompressible viscous flows

“…It can be seen that the current simulations converge with increasing grid densities. The results obtained for the grids of 151 × 151 and 167 × 167 are in good agreement with those of Kim et al [22] and Dennis and Chang [32]. Therefore, the grid of 151 × 151 is then used to investigate the flow field with the other values of Re numbers (i.e.…”

A vorticity model for viscous flow past a cylinder

“…Instead, the asymptotic solutions for ~b and ~ are used at ~ = ~o~, some large enough value of ~. In the event of symmetrical flow both ~b and ~ are odd functions of 0 and the solutions of equations (5) and (6) are required only in the region 0 ~< 0 ~ subject to the conditions ~k =( =0 when 0 =0, n.…”

Implicit Virtual Boundary Method for Moving Boundary Problems on Non-Staggered Cartesian Patch Grids

“…Good agreements among the results are seen. The present numerical method seems to predict a drag coefficient that is slightly smaller than the existing numerical results [34][35][36]. This will be discussed later.…”

“…For both cases of Re = 20 and Re = 40, there is a stable recirculation zone behind the cylinder that contains a pair of symmetric vortices. To examine the accuracy of the predicted wake structure, the present numerical results for the length of the recirculation zone l/D, distance from the cylinder to the centers of the vortices a/D, the gap between the centers of the vortices b/D, the separation angle θ s , and the drag coefficient C D are compared with that from the existing experimental and numerical studies [33][34][35][36] in Table 1. Good agreements among the results are seen.…”