An efficient exact numerical solution for scattering by a circular cylinder

2016 ◽  
Vol 11 ◽  
pp. S3-S10
Author(s):  
Chunhui Zhu ◽  
Lijun Liu ◽  
Zhengyong Song ◽  
Yanhui Liu ◽  
Qing Huo Liu
1964 ◽  
Vol 10 (3) ◽  
pp. 284-285
Author(s):  
R.A. Willet ◽  
S.G. Elkomoss

1958 ◽  
Vol 4 (1) ◽  
pp. 81-86 ◽  
Author(s):  
R. B. Payne

A numerical solution has been obtained for the starting flow of a viscous fluid past a circular cylinder at Reynolds numbers 40 and 100. The method used is the step-by-step forward integration in time of Helmholtz's vorticity equation. The advantage of working with the vorticity is that calculations can be confined to the region of non-zero vorticity near the cylinder.The general features of the flow, including the formation of the eddies attached to the rear of the cylinder, have been determined, and the drag has been calculated. At R = 40 the drag on the cylinder decreases with time to a value very near that for the steady flow.


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