Vortex ring interaction by the vortex method

1988 ◽  
pp. 23-36 ◽  
Author(s):  
Christopher Anderson ◽  
Claude Greengard
Keyword(s):  
Vortex Ring ◽  
Vortex Method ◽  
Ring Interaction

Spectrum study on unsteadiness of shock wave–vortex ring interaction

2018 ◽  
Vol 30 (5) ◽  
pp. 056101 ◽  
Author(s):  
Xiangrui Dong ◽  
Yonghua Yan ◽  
Yong Yang ◽  
Gang Dong ◽  
Chaoqun Liu
Keyword(s):  
Shock Wave ◽  
Vortex Ring ◽  
Ring Interaction

Frequency Investigation on Unsteadiness of Shock-Vortex Ring Interaction

2018 ◽  
Author(s):  
Xiangrui Dong ◽  
Yonghua Yan ◽  
Yong Yang ◽  
Chaoqun Liu
Keyword(s):  
Vortex Ring ◽  
Ring Interaction

scholarly journals Mathematical Modelling of the Elliptical Vortex Ring in a Viscous Fluid with the Vortex Filament Method

2021 ◽  
pp. 46-61
Author(s):  
O. S. Kotsur
Keyword(s):  
Viscous Fluid ◽  
Vortex Ring ◽  
Diffusion Rate ◽  
Grid Method ◽  
Vortex Method ◽  
Vortex Filament ◽  
Viscosity Model ◽  
Complete Agreement ◽  
Vortex Lines ◽  
Vortex Filament Method

The article deals with modelling an elliptical vortex ring in a viscous fluid using the Lagrangian vortex filament method. The novelty is that earlier only inviscid flows restricted vortex filament method application. The proposed viscosity model uses an analogue of the diffusion rate method, which is widely applied to simulate plane-parallel and axisymmetric flows of viscous fluid. A transfer of the formula of a diffusion rate from two-dimensional flows to the model of spatial vortex filament is due to assumption that swirling of vortex lines (helicity of vorticity) is unavailable. Despite the laxity of the diffusion rate model for general spatial flows, its application enables taking into account the effect of viscous diffusion of vorticity, which provides expansion of vortex tubes in space. The paper formulates the vortex filament method in which the filaments are broken into the vortex segments. Such discretization enables turning from the equation of vorticity evolution in partial derivatives to a system of ordinary differential equations with respect to the parameters of the segments. Formulas to calculate a filament system-induced flow rate as well as formulas to perform approximate calculation of an analogue of the diffusion rate are given.The objective is to propose the viscosity model as an application to the vortex filament method by the example of modelling the evolution of an elliptical vortex ring in viscous fluid. The calculation results obtained by the vortex method are compared with the existing experiment and with the calculation performed by the grid method in the OpenFOAM package. A feature of the problem is that there are zones of nonzero helicity of vorticity where the proposed model of viscosity, strictly speaking, is not correct. It is shown that the results of calculations are in good agreement with each other and are in complete agreement with experiment. This allows saying that the effects of swirling vortex lines do not significantly affect the results of modelling a specific example of the spatial flow of viscous fluid by the proposed modification of the vortex filament method.

scholarly journals Numerical study on thoracic aortic aneurysms : the aneurysms aggravation effects on the seconda rythme flows motion

Mechanika ◽  
2020 ◽  
Vol 26 (5) ◽  
pp. 407-415
Author(s):  
Mohammed Ilies ARAB ◽  
Mohamed BOUZIT ◽  
Houari AMEUR ◽  
Youcef KAMLA
Keyword(s):  
Vortex Ring ◽  
Vascular System ◽  
Numerical Study ◽  
Blood Rheology ◽  
Aortic Aneurysms ◽  
Hydrodynamic Instabilities ◽  
Thoracic Aortic Aneurysms ◽  
Secondary Motion ◽  
Ring Interaction ◽  
Ring Phenomenon

It is Well know  that there is a strong correlation between artery wall diseases and the flow structure disturbance. Aneurysms are enlargements situated at different but specifics parts of the vascular system; it is a silent diseas that evolves in time. The thoracic aortic aneurysms  (T. A. A) remains relatively unstudied and therefore the present study aimis is to clarify the effects of the  (T . A. A) evolution and the geometrical variations on both hydrodynamic instabilities inside the aortic bulge especially the vortex ring phenomenon and the secondary motion (Dean and lyne vortices) downsream the aneurysms.  Two different cases of asymmetric enlargements in the ascending part of the aortic are studied for both newtonien and the shear-thinning model to mimic the blood rheology inside the aneurysms bulge in order to investigate both parameters impact on the vortex ring behavior. Results schowed that the blood rheoligy effects the propagation velocity while the aneurysms size influences the vortex ring rupture,  the motion of the ring interaction with an inclined wall phenomenon. Results also showed that vortex ring disturbs the boundary layer and therefore the secondary motion in the rest of the aorta.

scholarly journals Numerical Simulation of a Vortex Ring Interaction with a Density Interface

1991 ◽  
Vol 3 (9) ◽  
pp. 2028-2028 ◽  
Author(s):  
Daniel L. Marcus ◽  
John B. Bell ◽  
Michael Welcome ◽  
Michael Allison
Keyword(s):  
Numerical Simulation ◽  
Vortex Ring ◽  
Density Interface ◽  
Ring Interaction

3. Shock/vortex ring interaction and the generation of acoustic waves (2)

2001 ◽  
Vol 3 (4) ◽  
pp. 309-309
Author(s):  
Z. Ding ◽  
M. Y. Hussaini ◽  
G. Erlebacher
Keyword(s):  
Vortex Ring ◽  
Acoustic Waves ◽  
Ring Interaction

Scattered waves generated by shock wave and vortex ring interaction

2000 ◽  
Vol 27 (2) ◽  
pp. 65-90 ◽  
Author(s):  
Tarou Shimizu ◽  
Yodai Watanabe ◽  
Tsutomu Kambe
Keyword(s):  
Shock Wave ◽  
Vortex Ring ◽  
Ring Interaction
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