Efficient proconditioning of the linearized Navier-Stokes equations for incompressible flow

David Silvester, Howard Elman, David Kay, Andrew Wathen

    Research output: Contribution to journalArticlepeer-review


    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, robust with respect to the time-step, and only deteriorates very slowly as the Reynolds number is increased. © 2001 Elsevier Science B.V. All rights reserved.
    Original languageEnglish
    Pages (from-to)261-279
    Number of pages18
    JournalJournal of Computational and Applied Mathematics
    Issue number1-2
    Publication statusPublished - 1 Mar 2001


    • Incompressible flow
    • Multigrid iteration
    • Navier-Stokes equations
    • Preconditioning


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