Dynamics of an unbalanced circular foil and point vortices in an ideal fluid

2021 ◽  
Vol 33 (8) ◽  
pp. 087119
Author(s):  
Ivan S. Mamaev ◽  
Ivan A. Bizyaev
Keyword(s):  
2006 ◽  
pp. 199-213
Author(s):  
A. V. Borisov ◽  
◽  
I. S. Mamaev ◽  
Keyword(s):  

2007 ◽  
Vol 12 (1) ◽  
pp. 68-80 ◽  
Author(s):  
A. V. Borisov ◽  
I. S. Mamaev
Keyword(s):  

2002 ◽  
Vol 460 ◽  
pp. 83-92 ◽  
Author(s):  
ANIK SOULIÈRE ◽  
TADASHI TOKIEDA

The theory of point vortices in a two-dimensional ideal fluid has a long history, but on surfaces other than the plane no method of finding periodic motions (except relative equilibria) of N vortices is known. We present one such method and find infinite families of periodic motions on surfaces possessing certain symmetries, including spheres, ellipsoids of revolution and cylinders. Our families exhibit bifurcations. N can be made arbitrarily large. Numerical plots of bifurcations are given.


2021 ◽  
Vol 164 ◽  
pp. 104201 ◽  
Author(s):  
Ramy Rashad ◽  
Federico Califano ◽  
Frederic P. Schuller ◽  
Stefano Stramigioli

2019 ◽  
Vol 53 (16) ◽  
pp. 2055-2059
Author(s):  
S. A. Moskalenko ◽  
V. A. Moskalenko ◽  
I. V. Podlesny ◽  
I. A. Zubac

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