Adaptive time-stepping for incompressible flow. Part II: Navier-Stokes equations

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

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    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 pages18
    JournalSIAM Journal on Scientific Computing
    Issue number1
    Publication statusPublished - Feb 2010


    • Time-stepping
    • Adaptivity
    • Navier-Stokes
    • Preconditioning


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