Elman, Howard and Mihajlovic, Milan and Silvester, David (2010) Fast iterative solvers for buoyancy driven flow problems. [MIMS Preprint]
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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: | MIMS Preprint |
|---|---|
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis |
| Depositing User: | professor david silvester |
| Date Deposited: | 22 Aug 2010 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1511 |
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- Fast iterative solvers for buoyancy driven flow problems. (deposited 22 Aug 2010) [Currently Displayed]
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