Fast iterative solvers for buoyancy driven flow problems

Elman, Howard and Mihajlovic, Milan and Silvester, David (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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Abstract

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.

Item Type: Article
Additional Information: This is the published version of this manuscript.
Uncontrolled Keywords: Navier-Stokes, Boussinesq, finite element approximation, time stepping, adaptivity, preconditioning, algebraic multigrid
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis
MSC 2010, the AMS's Mathematics Subject Classification > 76 Fluid mechanics
Depositing User: professor david silvester
Date Deposited: 23 Apr 2011
Last Modified: 20 Oct 2017 14:12
URI: https://eprints.maths.manchester.ac.uk/id/eprint/1611

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