scholarly journals Computation of incipient separation via solution of the vorticity equation on a lagrangian mesh

1996 ◽  
Vol 1 ◽  
pp. 109-123 ◽  
Author(s):  
Stephen A. Huyer ◽  
John R. Grant
Keyword(s):  
Vorticity Equation ◽  
Incipient Separation

The Equatorial Undercurrent in the Light of the Vorticity Equation

Tellus ◽  
1955 ◽  
Vol 7 (4) ◽  
pp. 518-521 ◽  
Author(s):  
N. P. Fofonoff ◽  
R. B. Montgomery
Keyword(s):  
Vorticity Equation ◽  
Equatorial Undercurrent

Incipient Separation Near Corners

2018 ◽  
Author(s):  
Anatoly I. Ruban
Keyword(s):  
Corner Point ◽  
Analytic Form ◽  
The Body ◽  
Recirculation Region ◽  
Body Contour ◽  
Concave Corner ◽  
Attached Flow ◽  
Surface Deflection ◽  
Interaction Problem ◽  
Incipient Separation

Chapter 4 analyses the transition from an attached flow to a flow with local recirculation region near a corner point of a body contour. It considers both subsonic and supersonic flow regimes, and shows that the flow near a corner can be studied in the framework of the triple-deck theory. It assumes that the body surface deflection angle is small, and formulates the linearized viscous-inviscid interaction problem. Its solution is found in an analytic form. It also presents the results of the numerical solution of the full nonlinear problem. It shows how, and when, the separation region forms in the boundary layer. In conclusion, it suggests that in the subsonic flow past a concave corner, the solution is not unique.

On one solution of the linearized non-divergent vorticity equation

1975 ◽  
Vol 19 (1) ◽  
pp. 102-103
Author(s):  
Vojtěch Vítek ◽  
O. Zikmunda
Keyword(s):  
Vorticity Equation

scholarly journals Lie reduction and exact solutions of vorticity equation on rotating sphere

2012 ◽  
Vol 376 (14) ◽  
pp. 1179-1184 ◽  
Author(s):  
Alexander Bihlo ◽  
Roman O. Popovych
Keyword(s):  
Exact Solutions ◽  
Vorticity Equation ◽  
Rotating Sphere

Solution of Two-Dimensional Vorticity Equation on a Lagrangian Mesh

AIAA Journal ◽  
2000 ◽  
Vol 38 (5) ◽  
pp. 774-783 ◽  
Author(s):  
Stephen A. Huyer ◽  
John R. Grant
Keyword(s):  
Vorticity Equation ◽  
Two Dimensional

scholarly journals Discussion on the complete-form vorticity equation and slantwise vorticity development

2016 ◽  
Vol 30 (1) ◽  
pp. 67-75
Author(s):  
Xiuming Wang ◽  
Xiaogang Zhou ◽  
Zuyu Tao ◽  
Hua Liu
Keyword(s):  
Vorticity Equation ◽  
Complete Form

Boson Hamiltonians and stochasticity for the vorticity equation

1990 ◽  
Vol 68 (9) ◽  
pp. 719-722 ◽  
Author(s):  
Hubert H. Shen
Keyword(s):  
Viscous Flow ◽  
Inviscid Flow ◽  
Vorticity Equation ◽  
Hamiltonian Form ◽  
Bose Operators

The evolution of the vorticity in time for 2D inviscid flow and in Lagrangian time for 3D viscous flow is written in Hamiltonian form by introducing Bose operators. The addition of the viscous and convective terms, respectively, leads to an interpretation of the Hamiltonian contribution to the evolution as Langevin noise.

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