Numerical Study of Interaction of Vortex Structures in Plasmas and Fluids
Abstract
The results of numerical study of evolution and interaction of the vortex structures in the continuum, and, specifically, in plasmas and fluids in the 2D approach, when the Euler-type equations are valid, are presented. The set of the model equations e(sub i)d(sub l)x(sub i)= partial derivative(sub yi) H/B, e(sub i)d(sub l)y(sub i)= -partial derivative(sub xi) H/B, partial derivative(sub t) rho-v xDELTA rho=0, v=-(ZETAxDELTA psi)/BETA, DELTA psi = -rho describing the a continuum or quasi-particles with Coulomb interaction models, where rho is a vorticity or charge density and psi is a stream function or potential for inviscid fluid and guiding-centre plasma, respectively, and ETA is a Hamiltonian, was considered. For numerical simulation the CD method specially modified was used. in terms of vortex motion of fluids the results of numerical experiments, specifically, showed that for some conditions the interaction of vortexes in continuum may be nontrivial and, as for the "classic" FAVRs, lead to formation of complex forms of vorticity regions, for example, the vorticity filaments and sheets, and also can ended to formation of the turbulent field. The undertaken approach may be effective in studying of the atmospheric and Alfven vortex dynamics, and also useful for the interpretation of effects associated with turbulent processes in fluids and plasmas.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 20, 2003
- Accession Number
- ADP015016
Entities
People
- R. M. Singatulin
- V. Yu. Belashov
Organizations
- Kazan Federal University