Fast iterative solvers for buoyancy driven flow problems

Elman, Howard and Mihajlovic, Milan and Silvester, David (2010) Fast iterative solvers for buoyancy driven flow problems. [MIMS Preprint]

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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

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