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/j.jcp.2011.02.014
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 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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