A new parallel discontinuous Galerkin solver, called ArcOn, is developed to describe the intermittent turbulent transport of filamentary blobs in the scrape-off layer (SOL) of fusion plasma. The model is comprised of an elliptic subsystem coupled to two convection-dominated reactiondiffusion-convection equations. Upwinding is used for a class of numerical fluxes developed to accommodate cross p...

Submitted for the MAR14 Meeting of The American Physical Society Knotting of vortex tangle in three-dimensional random waves ALEXANDER TAYLOR, MARK DENNIS, University of Bristol — Quantised vortices are fundamental to the description of disordered 3D complex scalar fields such as turbulent superfluids or BECs, but also a wide range of other phenomena including optical volume speckle, the quantu...

Using the random matrix theory we demonstrate explicitly the insensitivity of the transverse force on a moving vortex to non-intrinsic and non-magnetic impurities in a superconductor. The Berry phase acquired by a moving vortex suggests that the total transverse force on a moving vortex is proportional to the superfluid density at zero temperature, irrespective whether or not impurities are pre...

This article proposes a new method to evaluate basic characteristics of the dynamics of a coherent plasma structure (blob). With this method, one can evaluate the propagation angle of a blob in a two-dimensional plasma cross section as well as the blob velocity, size, and amplitude from one-dimensional data. The method is applied to blob measurements from the Lithium beam emission spectroscopy ...

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...

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 ...

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...

The XY model with quenched random disorder is studied numerically at T 1⁄4 0 by a defect scaling method as a model of a disordered superconductor. In 3D we find that, in the absence of screening, a vortex glass phase exists at low T for large disorder in 3D with stiffness exponent h þ0:31 and with finite screening and in 2D this phase does not exist. For weak disorder, a superconducting phase e...

A tunable blob function is proposed which is computat ionally simple since it is a rational function of low degree. The blob function is dependent on a parameter d which can be used to control the blob function making it suitable for computer graphics applications such as implicit surface generation. The main properties of the blob function are descr ibed and graphed. When the parameter d is la...