Physics

Biography

Biography: Vasily Yu Belashov

Abstract

The results of numerical study of evolution and interaction of the vortex structures in a continuum and specifically, in plasmas and fluids in 2D approach, when the Euler-type equations are valid, are presented. The set of the model equations describing the continuum or quasi-particles with Coulomb interaction models, where r is a vorticity or charge density and y is a stream function or potential for inviscid fluid and guiding-centre plasma, respectively, and H is the Hamiltonian, was considered. For numerical simulation the CD method specially modified was used. The results showed that for some conditi­ons the interaction is nontrivial and can lead to formation of complex forms of vorticity regions, such as the vorticity filaments and sheets, and also can be ended to form the turbulent field. The theoretical explanation of the effects is given on the basis of the generalized critical parameter which determines qualitative character of interaction. We investigated the applications of the results to dynamics of vortex structures in the atmosphere, hydrosphere and plasma, namely: evolution of the cyclonic type synoptic and ocean vortices which can be considered as a vorticity front, and interactions in the vortex-dust particles system, and also dynamics of charged filaments which represent streams of charged particles in a uniform magnetic field in 2D model of plasma of Taylor-McNamara. Our approach may be effective in studying of the atmospheric and Alfvén vortex dynamics, and useful for the interpretation of effects associated with turbulent processes in fluids and plasmas.