%0 DATA
%A Keith W., Myerscough
%A Jason, Frank
%A Benedict, Leimkuhler
%D 2017
%T Observation-based-correction.zip from Observation-based correction of dynamical models using thermostats
%U https://rs.figshare.com/articles/Observation-based-correction_zip_from_Observation-based_correction_of_dynamical_models_using_thermostats/4524749
%R 10.6084/m9.figshare.4524749.v1
%2 https://rs.figshare.com/ndownloader/files/7320947
%K sampling
%K statistical estimation
%K thermostat
%K statistical fluid dynamics
%X 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.