BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Using Data to Accurately and Efficiently Model Turbulent Flows: Da
 ta Assimilation & Parameter Recovery - Elizabeth Carlson (University of Vi
 ctoria)
DTSTART:20220316T130000Z
DTEND:20220316T140000Z
UID:TALK171764@talks.cam.ac.uk
DESCRIPTION:One of the challenges of the accurate simulation of turbulent 
 flows is that initial data is often incomplete. Data assimilation circumve
 nts this issue by continually incorporating the observed data into the mod
 el. An emerging approach to data assimilation known as the Azouani-Olson-T
 iti (AOT) algorithm introduced a feedback control term to the 2D incompres
 sible Navier-Stokes equations (NSE) in order to incorporate sparse measure
 ments. The solution to the AOT algorithm applied to the 2D NSE was proven 
 to converge exponentially to the true solution of the 2D NSE with respect 
 to the given initial data. In this talk\, we present our tests on the robu
 stness\, improvements\, and implementation of the AOT algorithm\, as well 
 as generate new ideas based off these investigations. First\, we discuss t
 he application of the AOT algorithm to the 2D NSE with an incorrect parame
 ter and prove it still converges to the correct solution up to an error de
 termined by the error in the parameters. This led to the development of a 
 simple parameter recovery algorithm\, whose convergence we recently proved
  in the setting of the Lorenz equations. It has now been proven by a co-au
 thor for the full 2D NSE\, presenting new insights into the equation itsel
 f.&nbsp\; We may also discuss applications to climate models.\n&nbsp\;\n&n
 bsp\;\n&nbsp\;
LOCATION:Seminar Room 2\, Newton Institute
END:VEVENT
END:VCALENDAR