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CATEGORIES:Applied and Computational Analysis
SUMMARY:Analysis and computation of Navierâ€“Stokes equation
in bounded domains - Jian-Guo Liu (Duke Universit
y)
DTSTART;TZID=Europe/London:20091005T150000
DTEND;TZID=Europe/London:20091005T160000
UID:TALK20502AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/20502
DESCRIPTION:For incompressible Navier-Stokes equations in a bo
unded domain\, \nI will first present a formula fo
r the pressure that involves the commutator of the
Laplacian and Leray-Helmholtz projection operator
s. This commutator and hence the pressure is stric
tly dominated by the viscous term at leading order
. This leads to a well-posed and computationally c
ongenial unconstrained formulation for the Navier-
Stokes equations. Based on this pressure formulati
on\, we will present a new understanding and desig
n principle for third-order stable projection meth
ods. Finally\, we will discuss the delicate inf-su
p stability issue for these classes of methods. \n
\nThis is joint work with Bob Pego and Jie Liu.
LOCATION:MR14\, CMS
CONTACT:
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