Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 12 of 12 for “"Point Vortices"”.
-
Stationary Configurations of Point Vortices (Morse Theory, Hamiltonian Systems, Fluid Mechanics)
The motion of point vortices in a plane of fluid is an old problem of fluid mechanics, which was given a Hamiltonian formulation by Kirchhoff. Stationary configurations are those which remain self-similar throughout the motion, and are of considerable physical interest.
-
Geometric Mechanics, Ideal Hydrodynamics, and the Locomotion of Planar Shape -Changing Aquatic Vehicles
… a free deformable body and an assembly of point vortices possesses a Hamiltonian structure, and study the energetics of forward locomotion and turning through numerical simulations. We also derive a reduced-order version of our model, suitable for use in model-based control and motion …
-
Integrable Vortex Motions in Unbounded and Periodic Domains
… motion of a passive particle in the field of the vortices is, in general, chaotic. One means of characterizing the advected field is through Thurston-Nielsen theory from topology. Using only information about the motions of the vortices themselves and the fact that the advected fluid is a …
-
Particle filtering with Lagrangian data in a point vortex model
… filters for LaDA using a two-dimensional point vortex model; this is a simplified fluid dynamics model wherein the positions of vortex singularities (point vortices) define the state. We consider various parameters associated with algorithm and examine their effect on filtering performance …
-
Dynamical System Representation and Analysis of Unsteady Flow and Fluid-Structure Interactions
… to derive the equations of motion of unsteady point vortices. This representation is a reconciliation between Newtonian and Lagrangian mechanics yielding a new approach to model the dynamics of these vortices. In the second chapter, I investigate the flutter of a helicopter rotor blade using …
-
Approach to equilibrium in systems with continuous symmetries
… by the correlation functions of the defects (point-vortices in two dimensions and vortex-strings in three dimensions). In the three dimensional case, the effect of a bias in the initial conditions is considered. The introduction of a bias (or external field) leads to exponential relaxation and …
-
Extracting energy from unsteady flows through vortex control
… placed in a flow with an array of oncoming vortices can achieve a very high propulsive efficiency and reduced wake signature. The canonical example of flow with regular arrays of vortices is the Karman vortex street, and this is our model for the inflow to the foil. The problem of an …
-
Approach to equilibrium in systems with continuous symmetries
… by the correlation functions of the defects (point-vortices in two dimensions and vortex-strings in three dimensions). In the three dimensional case, the effect of a bias in the initial conditions is considered. The introduction of a bias (or external field) leads to exponential relaxation and …
-
A model of a Mediterranean salt lens in external shear
… the eddy as a pair of quasigeostrophic 'point potential vortices' in uniform external shear, where the two point vortices are imagined to represent the top and bottom of a baroclinic eddy. While highly idealized, the model succeeds in qualitatively reproducing many aspects of the behavior …
-
Aspects of Parity Breaking in Classical and Quantum Fluids
… will generate observable signatures, such as point vortices in the bulk, and chiral modes that propagate along a boundary. When recast as a hydrodynamic problem these effects are readily studied by use of the familiar fluid boundary conditions, which can always be formulated as a …
-
Shock phenomena for the one-dimensional Boltzmann equation and related kinetic problems
… incompressible flow by finitely many interacting point vortices. Additionally, we study approximations of compressible gas dynamics by the Boltzmann equation, which models gases using a statistical description of molecular interactions, in which particles interact by elastic collisions. …
-
Dynamics of vortices in complex wakes: modeling, analysis, and experiments
… formation comprises two counter-rotating vortices in each shedding cycle and is popularly known as the vk vortex street. Of the more complex configurations, as a specific example, this thesis investigates one of the most commonly occurring wake arrangements, which consists of two pairs of …