10.6084/m9.figshare.4524749.v1
Keith W. Myerscough
Jason Frank
Benedict Leimkuhler
Observation-based-correction.zip from Observation-based correction of dynamical models using thermostats
2017
The Royal Society
sampling
statistical estimation
thermostat
statistical fluid dynamics
2017-01-06 14:26:24
article
https://rs.figshare.com/articles/Observation-based-correction_zip_from_Observation-based_correction_of_dynamical_models_using_thermostats/4524749
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 â€˜thermostatâ€™) 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.