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Efficient Preconditioning of the Linearized Navier-Stokes Equations}. David Silvester. Howard Elman. David Kay. Andrew Wathen. October 1999.
We outline a new class of robust and efficient methods for solving subproblems that arise in the linearization and operator splitting of Navier-Stokes equations. We describe a very general strategy for preconditioning that has two basic building blocks; a multigrid V-cycle for the scalar convection-diffusion operator, and a multigrid V-cycle for a pressure Poisson operator. We present numerical experiments illustrating that a simple implementation of our approach leads to an effective and robust solver strategy in that the convergence rate is independent of the grid and the time-step, and only deteriorates very slowly as the Reynolds number is increased. (Also cross-referenced as UMIACS-TR-99-66) University of Maryland Institute for Advanced Computer Studies, Department of Computer Science, University of Maryland,
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