EVENT DETAILS AND ABSTRACT

Title: Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate
Speaker: Professor Jian-Guo Liu
Speaker Info: University of Maryland
Brief Description:
Special Note:
Abstract:

For strong solutions of the incompressible Navier-Stokes equations in bounded domains with velocity specified at the boundary, joint with Bob Pego and Jie Liu, we establish the unconditional stability and convergence of discretization schemes that decouple the updates of pressure and velocity through explicit time-stepping for pressure. These schemes require no solution of stationary Stokes systems or inf-sup compatibility condition, and are representative of a class of highly efficient computational methods that have recently emerged. The proofs are simple, based upon a new, sharp estimate for the commutator of the Laplacian and Helmholtz projection operators. This allows us to treat an unconstrained formulation of the Navier-Stokes equations as a perturbed diffusion equation.