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280
Lagrangian Simulation of Vortex Sheet Dynamics
"... Vorticity is the curl of velocity, $\omega=\nabla xu $. Before discussing vortex dynamics, we note that vortices are formed by the motion of a solid body in a fluid. This was appreciated by scientists in the 19th century; for example consider the comment by Felix Klein [11], referring to the stirri ..."
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Vorticity is the curl of velocity, $\omega=\nabla xu $. Before discussing vortex dynamics, we note that vortices are formed by the motion of a solid body in a fluid. This was appreciated by scientists in the 19th century; for example consider the comment by Felix Klein [11], referring
Computing vortex sheet motion
 Proc Int Congr Math Kyoto
, 1990
"... Coherent vortex structures occur in many types of fluid flow including mixing layers, jets and wakes. A vortex sheet is a mathematical model for such structures, in which the shear layer is approximated by a surface across which the tangential fluid velocity has a jump discontinuity. Vortex sheet mo ..."
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Cited by 7 (1 self)
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Coherent vortex structures occur in many types of fluid flow including mixing layers, jets and wakes. A vortex sheet is a mathematical model for such structures, in which the shear layer is approximated by a surface across which the tangential fluid velocity has a jump discontinuity. Vortex sheet
On the one fluid limit for vortex sheets
, 908
"... We consider the interface problem between two incompressible and inviscid fluids with constant densities in the presence of surface tension. Following the geometric approach of [14, 15] we show that solutions to this problem converge to solutions of the free–boundary Euler equations in vacuum as one ..."
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We consider the interface problem between two incompressible and inviscid fluids with constant densities in the presence of surface tension. Following the geometric approach of [14, 15] we show that solutions to this problem converge to solutions of the free–boundary Euler equations in vacuum
Lagrangian Theory for 3D Vortex Sheets with Axial or Helical Symmetry ∗
, 2005
"... Consider a threedimensional vortex sheet in inviscid, incompressible flow which is irrotational away from the sheet. We derive an equation for the evolution of a vortex sheet in Lagrangian coordinates, i.e. an equation that is restricted to the sheet itself and is analogous to the BirkhoffRott equ ..."
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Cited by 4 (0 self)
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Consider a threedimensional vortex sheet in inviscid, incompressible flow which is irrotational away from the sheet. We derive an equation for the evolution of a vortex sheet in Lagrangian coordinates, i.e. an equation that is restricted to the sheet itself and is analogous to the Birkhoff
Singularity Formation in the Shape of a Vortex Sheet in Three Dimensions  Numerical Simulation
 ESAIM Proc
, 1996
"... The evolution of a small but finite threedimensional disturbance on a flat uniform vortex sheet is studied numerically on the basis of a Lagrangian representation of the motion. The numerical simulations confirm the asymptotic analysis by Ishihara and Kaneda (1995; J. Fluid Mech., 300, 339366) for ..."
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Cited by 2 (0 self)
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The evolution of a small but finite threedimensional disturbance on a flat uniform vortex sheet is studied numerically on the basis of a Lagrangian representation of the motion. The numerical simulations confirm the asymptotic analysis by Ishihara and Kaneda (1995; J. Fluid Mech., 300, 339
RasettiRegge Dirac bracket formulation of Lagrangian fluid dynamics of vortex filaments
 Math. Comp. Simulation
, 2003
"... We review the Rasetti–Regge Dirac bracket (RRDB) for determining the constrained Hamiltonian dynamics of vortex filaments moving with an incompressible potential flow of superfluid heliumII in the Lagrangian fluid picture. We compare the equations for Lagrangian vortex filaments with their correspo ..."
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Cited by 6 (2 self)
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We review the Rasetti–Regge Dirac bracket (RRDB) for determining the constrained Hamiltonian dynamics of vortex filaments moving with an incompressible potential flow of superfluid heliumII in the Lagrangian fluid picture. We compare the equations for Lagrangian vortex filaments
Desingularization of vortex sheet rollup
 J. Comp. Phys
, 1986
"... In this article we shall review some recent developments for computing vortex sheet rollup. A vortex sheet is an asymptotic model of a free shear layer in which the transition region between the two fluid streams is approximated by a surface across which the tangential velocity component is discont ..."
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Cited by 5 (0 self)
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In this article we shall review some recent developments for computing vortex sheet rollup. A vortex sheet is an asymptotic model of a free shear layer in which the transition region between the two fluid streams is approximated by a surface across which the tangential velocity component
Vortex Fluid for Gaseous Phenomena
, 2005
"... In this paper, we present a method for visual simulation of gaseous phenomena based on the vortex method. This method uses a localized vortex flow as a basic building block and combines those blocks to describe a whole flow field. As a result, we achieve computational efficiency by concentrating o ..."
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only on a localized vorticity region while generating dynamic swirling fluid flows. Based on the Lagrangian framework, we resolve various boundary conditions. By exploiting the panel method, we satisfy the nothrough boundary condition in a Lagrangian way.
Fluid entrainment by isolated vortex rings
 J. Fluid Mech
, 2004
"... Of particular importance to the development of models for isolated vortex ring dynamics in a real fluid is knowledge of ambient fluid entrainment by the ring. This timedependent process dictates changes in the volume of fluid that must share impulse delivered by the vortex ring generator. Therefore ..."
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Cited by 26 (9 self)
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. Therefore fluid entrainment is also of immediate significance to the unsteady forces that arise due to the presence of vortex rings in starting flows. Applications ranging from industrial and transportation, to animal locomotion and cardiac flows, are currently being investigated to understand the dynamical
Turbulent Lagrangian Dynamics of Vortex and MagneticField Lines
, 2008
"... “section 415: The limit of zero viscosity We would like to point out that none of the flows we have described are anything like the potential flow solution we found in the preceding chapter. This is, at first sight, quite surprising. After all, R is proportional to 1/η. So η going to zero is equiva ..."
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. If we forget for a moment about diffusion of vorticity which causes a loss, the laws of flow say (as we have seen) that the vortex lines are carried along with the fluid, at the velocity v. We can imagine a certain number of lines of Ω which are being distorted and twisted by the complicated flow
Results 1  10
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280