Fast iterative solvers for buoyancy driven flow problems

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    We outline a new class of robust and efficient methods for solving the Navier-Stokes equations with a Boussinesq model for buoyancy driven flow. 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 efficiency of the chosen preconditioning schemes with respect to the discretization parameters. © 2011 Elsevier Inc.
    Original languageEnglish
    Pages (from-to)3900-3914
    Number of pages14
    JournalJournal of Computational Physics
    Issue number10
    Publication statusPublished - 10 May 2011


    • Adaptivity
    • Algebraic multigrid
    • Boussinesq
    • Finite element approximation
    • Navier-Stokes
    • Preconditioning
    • Time stepping


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