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|Title:||The dirichlet quotient of point vortex interactions on the surface of the sphere examined by Monte Carlo experiments|
Inviscid incompressible fluid flow
Monte Carlo simulation
Point vortex dynamics
|Citation:||Nebus, J. (2005-02). The dirichlet quotient of point vortex interactions on the surface of the sphere examined by Monte Carlo experiments. Discrete and Continuous Dynamical Systems - Series B 5 (1) : 125-136. ScholarBank@NUS Repository.|
|Abstract:||The point-vortex system on the surface of the sphere is examined by Monte Carlo methods. The statistical equilibria found in the system when it is constrained to keep circulation zero (but without other explicit constraints on site values) are found to be self-regulating in a sense. While site strengths will grow without bound as the number of sweeps increases, the Dirichlet quotient, the ratio of enstrophy to energy, is found to converge rapidly to a finite nonzero value. This unlimited growth in site values remains controlled. The dependence of this quotient on the temperature and on the mesh size are examined.|
|Source Title:||Discrete and Continuous Dynamical Systems - Series B|
|Appears in Collections:||Staff Publications|
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