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SUMMARY:The role of pressure in an incompressible Euler singularity - Dwig
 ht Barkley (University of Warwick)
DTSTART:20220221T160000Z
DTEND:20220221T170000Z
UID:TALK170135@talks.cam.ac.uk
DESCRIPTION:The blowup mechanism for an inviscid wall-bounded flow is inve
 stigated from a primitive-variables point of view. &nbsp\;The analysis foc
 uses on the interplay between inertia and pressure\, rather than on vortic
 ity. &nbsp\;The incompressible Euler equations are numerically simulated i
 n a cylindrical container. The flow is axisymmetric with the swirl. The si
 mulations reproduce and corroborate aspects of prior studies by Luo and Ho
 u reporting strong evidence for a finite-time singularity. The linearity o
 f the pressure Poisson equation is exploited to decompose the pressure fie
 ld into independent contributions. A model is presented based on a primiti
 ve-variables formulation of the Euler equations\, with closure coming from
  how pressure is determined from velocity. The model captures key features
  in the mechanics of the blowup scenario.
LOCATION:Seminar Room 2\, Newton Institute
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