Seminar series
Date
Mon, 11 May 2009
17:00
17:00
Location
Gibson 1st Floor SR
Speaker
Jian-Guo Liu
Organisation
College Park, Maryland
For incompressible Navier-Stokes equations in a bounded domain, I will
first present a formula for the pressure that involves the commutator
of the Laplacian and Leray-Helmholtz projection operators. This
commutator and hence the pressure is strictly dominated by the viscous
term at leading order. This leads to a well-posed and computationally
congenial unconstrained formulation for the Navier-Stokes equations.
Based on this pressure formulation, we will present a new
understanding and design principle for third-order stable projection
methods. Finally, we will discuss the delicate inf-sup stability issue
for these classes of methods. This is joint work with Bob Pego and Jie Liu.