We propose a novel discrete method of constructing Gaussian Random Fields based on combination modified spectral representations, Fourier and Blob. The is intended for Direct Numerical Simulations the V-Langevin equations. latter are stereotypical descriptions anomalous stochastic transport in various physical systems. From an Eulerian perspective, our designed to exhibit improved convergence r...

We consider the 3D incompressible Navier–Stokes equations under following 2 + 1 2+\frac {1}{2}</mml:annotatio...

Texture is an important part of the visual world of animals and men and their visual systems successfully detect, discriminate and segment texture. Relatively recently progress was made concerning structures in the brain which are presumably responsible for texture processing. Von der Heydt et al. (von der Heydt et al. 1992) reported on the discovery of a texture processing neuron in areas V1 a...

We carry out extensive Monte Carlo simulations of the three-dimensional uniformly frustrated XY model with uncorrelated randomly perturbed couplings, as a model for the equilibrium behavior of an extreme type-II superconductor with quenched uncorrelated random point vortex pinning, in the presence of a uniform applied magnetic field. We map out the resulting phase diagram as a function of tempe...

This paper provides experimental and theoretical evidence for the existence of contiguous failure regions in the program input space (`blob' defects). For real-time systems where successive input values tend to be similar, blob defects can have a major impact on the software survival time because the failure probability is not constant. For example, with a `random walk' input sequence, the prob...

In this research we have implemented the Random Vortex Method to calculate velocity fields of fluids inside open cavities in both turbulent and laminar flows. the Random Vortex Method is a CFD method (in both turbulent and laminar fields) which needs the Schwarz-Christoffel transformation formula to map the physical geometry into the upper half plane. In some complex geometries like the flow in...

The random vortex world-surface model is an infrared effective model of Yang-Mills dynamics based on center vortex degrees of freedom. These degrees of freedom carry topological charge through writhe and self-intersection of their world-surfaces. A practical implementation of the model realizes the vortex world-surfaces by composing them of elementary squares on a hypercubic lattice. The topolo...

The Lagrangian transport of a passive scalar in a class of incompressible, random stationary velocity fields, termed “random-vortex” models, is studied. These fields generally consist of random distributions of finite-sized elementary vortices in space with zero mean velocity in the presence of molecular diffusion D. The effects of vortex density, vortex strength, and sign of the vorticity on t...

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...

In this paper, a novel saliency theory based RR-IQA metric is introduced. As the human visual system is sensitive to the salient region, evaluating the image quality based on the salient region could increase the accuracy of the algorithm. In order to extract the salient regions, we use blob decomposition (BD) tool as a texture component descriptor. A new method for blob decomposition is propos...