Fast Iterative Solution of Models of Incompressible Flow
- Date: 09/24/2007
Howard Elman (University of Maryland at College Park)
University of British Columbia
We discuss new efficient algorithms for computing the numerical
solution of the incompressible Navier-Stokes equations. We show that
preconditioning algorithms that take advantage of the structure of the
linearized equations can be combined with Krylov subspace methods to
produce algorithms that are optimal with respect to discretization mesh
size, largely insensitive to Reynolds numbers, and easily adapted to
handle both steady and evolutionary problems. We also show the relation
between these approaches and traditional methods derived from operator
splittings, and we demonstrate the performance of the new methods in
some practical settings.
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