Kay, David A. and Gresho, Philip M. and Griffiths, David F. and Silvester, David J. (2008) Adaptive time-stepping for incompressible flow Part II: Navier-Stokes Equations. [MIMS Preprint]
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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: | MIMS Preprint |
|---|---|
| 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, algebraic multigrid, Navier-Stokes |
| 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 Jun 2008 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1110 |
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- Adaptive time-stepping for incompressible flow Part II: Navier-Stokes Equations. (deposited 23 Jun 2008) [Currently Displayed]
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