Adaptive time-stepping for incompressible flow Part II: Navier-Stokes Equations

Kay, David A. and Gresho, Philip M. and Griffiths, David F. and Silvester, David J. (2010) Adaptive time-stepping for incompressible flow Part II: Navier-Stokes Equations. SIAM Journal on Scientific Computing, 32 (1). pp. 111-128. ISSN 1095-7197

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Abstract

We outline a new class of robust and efficient methods for solving the Navier-Stokes equations. We describe a general solution strategy that has two basic building blocks; a fully 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 potential of our approach.

Item Type: Article
Additional Information: This is the sequel to a previous paper (Part I) which was published in SIAM J. Sci. Comput. 30, pp. 2018-2054, 2008.
Uncontrolled Keywords: time-stepping, adaptivity, Navier-Stokes, preconditioning, fast solvers
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/1610

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