Adaptive time-stepping for incompressible flow part II: Navier-stokes equations

David A. Kay, Philip M. Gresho, David F. Griffiths, David J. Silvester

    Research output: Contribution to journalArticlepeer-review


    We outline a new class of robust and efficient methods for solving the Navier- Stokes equations. We describe a general solution strategy that has two basic building blocks: an implicit time integrator using a stabilized trapezoid rule with an explicit Adams-Bashforth method for error control, and a robust Krylov subspace solver for the spatially discretized system. We present numerical experiments illustrating the potential of our approach. © 2010 Society for Industrial and Applied Mathematics.
    Original languageEnglish
    Pages (from-to)111-128
    Number of pages17
    JournalSIAM Journal on Scientific Computing
    Issue number1
    Publication statusPublished - 2010


    • Adaptivity
    • Fast solvers
    • Navier-stokes
    • Preconditioning
    • Time-stepping


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