Stability Analysis and Bifurcation of Two Dimensional Incompressible Flow Around Circular Cylinder
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Special attention is paid to the stability of the flow around circular cylinder, in particular to the evolution of vortices. From viewpoint of nonlinear dynamics, the stability of streamline patterns of the flow field is analyzed using qualitative theory of differential equations. Combined with the critical points of the flow, the local solutions of flow equations are derived to discuss the change of flow topology. It can be seen that the birth of vortices behind the cylinder are the results of the bifurcations of the corresponding critical points.
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1947 ◽
Vol 188
(1015)
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pp. 439-463
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2000 ◽
Vol 4
(2)
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pp. 125-133
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2010 ◽
Vol 645
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pp. 411-434
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2008 ◽
Vol 74
(738)
◽
pp. 345-353
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