Observation-based correction of dynamical models using thermostats

Keith W. Myerscough, Jason Frank, Benedict Leimkuhler

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

Models used in simulation may give accurate short-term trajectories but distort long-term (statistical) properties. In this work, we augment a given approximate model with a control law (a ‘thermostat’) that gently perturbs the dynamical system to target a thermodynamic state consistent with a set of prescribed (possibly evolving) observations. As proof of concept, we provide an example involving a point vortex fluid model on the sphere, for which we show convergence of equilibrium quantities (in the stationary case) and the ability of the thermostat to dynamically track a transient state.
Original languageEnglish
Article number20160730
Number of pages23
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Publication statusPublished - 18 Jan 2017


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