Analysis and computation of Navier–Stokes equation in bounded domains

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• Jian-Guo Liu (Duke University)
• Monday 05 October 2009, 15:00-16:00
• MR14, CMS.

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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.

This talk is part of the Applied and Computational Analysis series.

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