Thursday, Sep 12, 9:30 am in MTH 3206, University of Maryland,
College Park
Preconditioning for the steady-state Navier-Stokes equations with low viscosity
Prof. Howard Elman
Department of Computer Science and
Institute for Advanced Computer Studies,
University of Maryland,
College Park
We introduce a preconditioning for the linearized Navier-Stokes equations
with finite difference discretization that is effective when either the
discretization mesh size or the viscosity approaches zero. We present a
Fourier analysis for periodic boundary conditions showing that an idealized
version of this method yields a system whose eigenvalues do not depend on
the Reynolds number or the mesh size. Thus, Krylov subspace methods display
convergence rates that are independent of these quantities. For other
boundary conditions, experimental results indicate that convergence is still
independent of the Reynolds number and depends only mildly on the mesh size.
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