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Abstract / Description of output
Based on the thermodynamic concept of a reservoir, we investigate a computational model for interaction with unresolved degrees of freedom (a thermal bath). We assume that a finite restricted system can be modelled by a generalized canonical ensemble, described by a density which is a smooth function of the energy of the restricted system. A thermostat is constructed to continuously perturb the resolved dynamics, while leaving the desired equilibrium distribution invariant. We build on a thermostatting framework developed and tested in the setting of molecular dynamics, using stochastic perturbations to control (and stabilize) the invariant measure. We also apply these techniques in the setting of a simplified point vortex flow on a disc, in which a modified Gibbs distribution (modelling a finite, rather than infinite, bath of weak vortices) provides a regularizing formulation for restricted system dynamics. Numerical experiments, effectively replacing many vortices by a few artificial degrees of freedom, are in excellent agreement with the twoscale simulations of Bühler [Phys. Fluids, 14 (2002), pp. 2139–2149].
Original language  English 

Pages (fromto)  18821901 
Journal  Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal (MMS) 
Volume  8 
Issue number  5 
DOIs  
Publication status  Published  2010 
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Dive into the research topics of 'Simplified Modelling of a Thermal Bath, with Application to a Fluid Vortex System'. Together they form a unique fingerprint.Projects
 1 Finished

Science and Innovation: Numerical Algorithms and Intelligent Software for the Evolving HPC Platform
1/08/09 → 31/07/14
Project: Research