Vorticity vector-potential method based on time-dependent curvilinear coordinates for two-dimensional rotating flows in closed configurations

2018 ◽  
Vol 30 (2) ◽  
pp. 218-234 ◽  
Author(s):  
Yuan Fu ◽  
Da-peng Zhang ◽  
Xi-lin Xie
1990 ◽  
Vol 10 (8) ◽  
pp. 875-888 ◽  
Author(s):  
Robin Raul ◽  
Peter S. Bernard ◽  
Frank T. Buckley

1998 ◽  
Vol 5 (3) ◽  
pp. 145-151
Author(s):  
A. D. Kirwan, Jr. ◽  
B. L. Lipphardt, Jr.

Abstract. Application of the Brown-Samelson theorem, which shows that particle motion is integrable in a class of vorticity-conserving, two-dimensional incompressible flows, is extended here to a class of explicit time dependent dynamically balanced flows in multilayered systems. Particle motion for nonsteady two-dimensional flows with discontinuities in the vorticity or potential vorticity fields (modon solutions) is shown to be integrable. An example of a two-layer modon solution constrained by observations of a Gulf Stream ring system is discussed.


Author(s):  
João P. G. Nascimento ◽  
Vanderley Aguiar ◽  
Raimundo N. Costa Filho ◽  
João Milton Pereira Jr

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