Abstract. The dynamic laws of quantized vortex interactions in the Ginzburg–Landau–Schrödinger equation (GLSE) are analytically and numerically studied. A review of the reduced dynamic laws governing the motion of vortex centers in the GLSE is provided. The reduced dynamic laws are solved analytically for some special initial data. By directly simulating the GLSE with an efficient and accurate ...

This study aims to develop an alternative vortex analysis method by measuring structure ofIntracranial aneurysm (IA) flow vortexes across the cardiac cycle, to quantify temporal stability of aneurismal flow. Hemodynamics were modeled in "patient-specific" geometries, using computational fluid dynamics (CFD) simulations. Modified versions of known λ2 and Q-criterion methods identified vortex reg...

In ([19, 20]), Tryggvason and Aref use a boundary integral method and the vortex-in-cell method to evolve the interface between two fluids in a Hele-Shaw cell. The method gives excellent results for intermediate values of the nondimensional surface tension parameter. The results are different from the predicted results of McLean and Saffman for small surface tension. For large surface tension, ...

We study the interplay between the local geometric properties and the non-blowup of the 3D incompressible Euler equations. We consider the interaction of two perturbed antiparallel vortex tubes using Kerr’s initial condition [14][Phys. Fluids 5 (1993), 1725]. We use a pseudo-spectral method with resolution up to 1536 × 1024 × 3072 to resolve the nearly singular behavior of the Euler equations. ...

This cumulative dissertation presents a complete model for simulating smoke using polygonal vortex filaments. Based on a Hamiltonian system for the dynamics of smooth vortex filaments, we develop an efficient and robust algorithm that allows simulations in real time. The discrete smoke ring flow allows to use coarse polygonal vortex filaments, while preserving the qualitative behavior of the sm...

We propose a new criterion to characterize hierarchical two-dimensional vortex regions induced by swirling motion. Central to the definition are closed loops that intersect the flow field at a constant angle. The union of loops belonging to the same area of swirling motion defines a vortex region. These regions are disjunct but may be nested, thus introducing a spatial hierarchy of vortex regio...

The phase states and phase transitions in a system consisting of a two-dimensional vortex lattice with defects are studied by the Monte Carlo method. It is shown that a “rotating lattice” phase, which is an intermediate phase between the vortex crystal and vortex liquid phases, is present. The dependence of the temperature of the transition from the rotating lattice phase into a vortex liquid o...

The present study examines the effects of periodic and random excitations on particle dispersion in the near field of a transitional axisymmetric jet. The study is motivated by the consideration that particle dynamics in the near-jet region is governed by vortex structures, whose behavior, in turn, can be altered through external excitations. A large eddy simulation model based on a fourth-orde...

This chapter introduces a novel method for vortex detection in flow fields based on the corotation of line segments and glyph rendering. The corotation measure is defined as a point-symmetric scalar function on a sphere, suitable for direct representation in the form of a three-dimensional glyph. Appropriate placement of these glyphs in the domain of a flow field makes it possible to depict vor...

Recently, methods of approximations by particles systems have been widely studied. For an incompressible, inviscid, two dimensional fluid a natural approximating scheme follows the point vortex method. The basic idea of the point vortex method is to approximate the vorticity of a fluid by a “gas of vortices” which is represented by a linear combination of dirac measures ∑ Riδxi . The investigat...