The problem of incompressible steady flow simulation around an airfoil is discussed. For some simplest airfoils (circular, elliptical, Zhukovsky airfoils) the exact solution is known from complex analysis. It allows to compute the intensity of vortex layer which simulates the airfoil. Some modifications of the vortex element method are proposed and test computations are carried out. It’s shown ...

The vortex picture of the Yang-Mills vacuum, initially proposed as a possible mechanism of colour confinement, has recently attracted a renewed attention. This is mainly due to the advent of new gauge fixing techniques which permit the detection of center vortex structures directly within lattice Yang-Mills configurations. Numerical studies have revealed that the center projection vortices dete...

Simulations of vortex tube dynamics reveal that the non-Gaussian nature of turbulent fluctuation originates in the effect of random advection. A similar non-Gaussian distribution is found numerically in a simplified statistical model of random advection. An analytical solution is obtained in the mean-field case.

A random field composed by Poisson distributed Brownian vortex filaments is constructed. The filament have a random thickness, length and intensity, governed by a measure γ. Under appropriate assumptions on γ we compute the scaling law of the structure function and get the multifractal scaling as a particular case.

Coherent vortices are an important component of the dynamics of geophysical turbulence, but direct estimates of the properties of the vortex population from measured data is usually difficult. Motivated by this problem, we propose a new method for determining the statistical properties of coherent vortices in two-dimensional turbulence based on a small number of Lagrangian and Eulerian time ser...

Wake vortex encounter risk is a major safety issue in aircraft final approach phase. The evaluation of the risk is crucial when the industry takes the effort to reduce aircraft spacing for the purpose of capacity gain. This paper proposes a hybrid analytical method to assess the wake vortex encounter risk during the final approach phase. The hybrid method uses probabilistic method to calculate ...

We propose an efficient and spectrally accurate numerical method for computing vortex lattice structures in fast rotating Bose-Einstein condensates (BECs) with strongly repulsive interactions. The key ingredients of the method is to discretize the normalized gradient flow under rotational frame by Fourier spectral method in space and by backward Euler method in time. Different vortex lattice st...

The analysis of aircraft wake vortex is great significance for the improvement airspace utilization. To overcome shortcomings traditional manual methods which are unable to produce satisfactory results on number data with high accuracy recognition, a fast automatic method proposed based Random Forests (RF). development our model outlined as follows: (1) A dataset that consisted various measured...