Results 241 to 250 of about 4,674,421 (280)

On the Point Vortex Method

SIAM Journal on Scientific and Statistical Computing, 1981
The discretization of the integrodifferential equation governing the evolution of a vortex sheet leads to a representation of the sheet by point vortices. It is shown, by examination of the special case of a uniform circular vortex sheet, that the chaotic motion which often arises when the point vortex representation is used is due to the amplification
D W Moore
exaly   +2 more sources

Convergence of a Point Vortex Method for Vortex Sheets

SIAM Journal on Numerical Analysis, 1991
Based on the observation that a point vortex approximation can be made spectrally accurate by using Van de Vooren’s desingularization, short time convergence of the point vortex method for both vortex sheets and the Boussinesq approximation are proved using analytic data.
Robert Krasny, John Lowengrub, Thomas Y Hou   +2 more
exaly   +3 more sources

Exotic vortex wakes—point vortex solutions

Journal of Fluids and Structures, 2006
Abstract Von Karman was the first to present a quantitative model of the “vortex street” wake as a double row of point vortices, to determine which configurations propagate in the direction of the rows, and to consider the linear stability theory for such states. In the early literature one works with infinite rows of vortices.
H Aref
exaly   +2 more sources

Point Source and Point Vortex in the Hodograph Plane

Journal of Applied Mechanics, 1957
Abstract Hodograph plane solutions possessing point-source and point-vortex singularities are obtained by means of series expansions in product solutions.
Poritsky, H., Powell, R. A.
openaire   +2 more sources

The interaction of an elliptical patch with a point vortex

Fluid Dynamics Research, 2000
Summary: An integrable model is proposed to analyze the two-dimensional asymmetrical interaction of two vortices, either co-rotating or counter-rotating, in the absence of viscosity. To this purpose two assumptions are made: one vortex is uniform and elliptical, and the other one is a point vortex. It follows a system with three degrees of freedom, for
RICCARDI, Giorgio, PIVA R.
openaire   +3 more sources

The point-circle vortex

Journal of Applied Mathematics and Mechanics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Betyaev, S. K., Gaifullin, A. M., Gordeev, S. V.   +2 more
openaire   +2 more sources

Dynamics of uniform vortex patch with a point vortex

IEEE Transactions on Plasma Science, 2002
Vortex dynamics in two-dimensional inviscid, incompressible fluids are isomorphic to the dynamics of strongly magnetized guiding center plasmas restricted to E /spl times/ B motion. In this paper, we exploit this analogy and study the dynamics of a uniform vortex patch with a point-like vortex using a particle-in-cell code.
Ganesh, R, Lee, JK
openaire   +2 more sources

Holtsmark Distributions in Point-Vortex Systems

Physical Review Letters, 2000
The statistics of uncorrelated point vortices in a plane is studied analytically and numerically. Theoretical distributions are obtained with the general method developed by Holtsmark [Ann. Phys. 58, 577 (1919)] and Chandrasekhar [Rev. Mod. Phys. 15, 1 (1943)]. They are found to agree with the results of numerical tests.
Kuvshinov, B.N., Schep, T.J.
openaire   +2 more sources

Dynamics of a vortex pair interacting with a fixed point vortex

EPL (Europhysics Letters), 2013
The dynamics of a vortex pair consisting of two counter-rotating point vortices encountering a fixed point vortex in a uniform medium is addressed. This problem is of interest in part because such an interaction occurs frequently in geophysical flows. The vortex pair is shown to exhibit two different regimes of motion.
E. A. Ryzhov, K. V. Koshel
openaire   +1 more source

Hydrodynamics of a point vortex ring

Journal of Engineering Physics and Thermophysics, 1996
The kinematics and dynamics of a point vortex ring in an incompressible fluid and its interaction with a surface are considered.
V. I. Korobko, I. V. Chekh
openaire   +1 more source