An extended self-organisation principle for modelling and calculating the dissipation of 2D confined vortices
- 1 August 1989
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 2 (3) , 459-475
- https://doi.org/10.1088/0951-7715/2/3/006
Abstract
Steady Euler flows in a periodic square that, for positive vorticity distributions, minimise the entropy at given values of the energy and the circulations are non-confined vortices for optimal values of the circulation, and are confined vortices for certain non-optimal values. An extension of the self-organisation principle for the 2D Navier-Stokes equations is presented which models the dissipative evolution of such confined vortices by changing the values of the constraints in time in accordance with the effect of dissipation. An efficient numerical procedure for calculating these confined states is described and calculations of the dissipative evolution are presented.Keywords
This publication has 12 references indexed in Scilit:
- A computational method of solving free-boundary problems in vortex dynamicsJournal of Computational Physics, 1988
- Self-similar coherent structures in two-dimensional decaying turbulenceJournal of Physics A: General Physics, 1988
- Time-asymptotics and the self-organization hypothesis for 2D Navier-Stokes equationsPhysica A: Statistical Mechanics and its Applications, 1988
- Self-organization processes in continuous mediaAdvances in Physics, 1985
- The emergence of isolated coherent vortices in turbulent flowJournal of Fluid Mechanics, 1984
- Dual and inverse formulations of constrained extremum problemsMathematical Modelling, 1980
- Two-dimensional turbulenceReports on Progress in Physics, 1980
- Two-dimensional turbulence above topographyJournal of Fluid Mechanics, 1976
- Waves and turbulence on a beta-planeJournal of Fluid Mechanics, 1975
- LXXV. On the decay of vortices in a viscous fluidJournal of Computers in Education, 1923