An mvtscrd boundary-Integral method 1s moddied m order to study the smgle-scale Raylergh-Taylor mstabthty for arbitrary Atwood number. The pnmary modificatron uses vortex blobs to smooth the Green’s functton and suppress a timte trme smgulartty in the curvature. Additronal moddicatrons to earher codes such as usmg second-order central drfferences along the Interface to accommodate spikes m the ...

Discrete Element Model (DEM) is used to simulate bubble and particle interactions with vortical flows. In this Euler-Lagrange approach, volume-averaged Navier-Stokes equations are solved using a co-located grid finite volume method. The dispersed phase is assumed spherical and is modeled by tracking the centroids of the particles/bubbles in a Lagrangian frame. In addition to interphase momentum...

Point vortex and vortex blob computations are used to investigate the evolution of the planar and the axisymmetric vortex sheet which initially induce ow past a cylinder and past a sphere respectively. In both cases the sheet develops a singularity at two points in the symmetry plane at a nite time. It rolls up at these points forming a vortex pair in the planar case and a vortex ring in the ax...

Explicit radius for nearly parallel vortex filaments in equilibrium 1 Geophysical research has focused on flows, such as ocean currents, as two dimensional. Two dimensional point or blob vortex models have the advantage of having a Hamilto-nian, whereas 3D vortex filament or tube systems do not necessarily have one, although they do have action functionals. On the other hand, certain classes of...

This paper generalizes Lyaponov functionals to the local setting, and it is shown that they may serve as a connection between Florack's et al. pseudo-linear scale-spaces and Koenderink's et al. local soft histograms. A generalized scale-selection method is proposed based on local Lyaponov functionals and local soft histograms, and it is shown that the method includes Lindebergs's Blob-detector ...

For a particular choice of the smoothing kernel, it is shown that the system of partial differential equations governing the vortex-blob method corresponds to the averaged Euler equations. These latter equations have recently been derived by averaging the Euler equations over Lagrangian fluctuations of length scale α, and the same system is also encountered in the description of inviscid and in...

For a particular choice of the smoothing kernel, it is shown that the system of partial differential equations governing the vortex-blob method corresponds to the averaged Euler equations. These latter equations have recently been derived by averaging the Euler equations over Lagrangian fluctuations of length scale α, and the same system is also encountered in the description of inviscid and in...