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2010.75: Fast iterative solvers for buoyancy driven flow problems

2010.75: Howard Elman, Milan Mihajlovic and David Silvester (2011) Fast iterative solvers for buoyancy driven flow problems. Journal of Computational Physics, 230 (10). pp. 3900-3914. ISSN 0021-9991

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DOI: 10.1016/


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.

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Uncontrolled Keywords:Navier-Stokes, Boussinesq, finite element approximation, time stepping, adaptivity, preconditioning, algebraic multigrid
Subjects:MSC 2000 > 65 Numerical analysis
MSC 2000 > 76 Fluid mechanics
MIMS number:2010.75
Deposited By:professor david silvester
Deposited On:23 April 2011

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