Article ID Journal Published Year Pages File Type
1896384 Physica D: Nonlinear Phenomena 2011 21 Pages PDF
Abstract
A simulated annealing method for calculating stationary states for models that describe continuous media is proposed. The method is based on the noncanonical Poisson bracket formulation of media, which is used to construct Dirac brackets with desired constraints, and symmetric brackets that cause relaxation with the desired constraints. The method is applied to two-dimensional vortex dynamics and a variety of numerical examples is given, including the calculation of monopole and dipole vortex states.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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