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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Fast iterative solvers for buoyancy driven flow problems. (deposited 22 Aug 2010)
- Fast iterative solvers for buoyancy driven flow problems. (deposited 23 Apr 2011) [Currently Displayed]
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