2008.61: Adaptive time-stepping for incompressible flow Part II: Navier-Stokes Equations
2008.61: David A. Kay, Philip M. Gresho, David F. Griffiths and David J. Silvester (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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DOI: 10.1137/080728032
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 2000 > 65 Numerical analysis MSC 2000 > 76 Fluid mechanics |
| MIMS number: | 2008.61 |
| Deposited By: | professor david silvester |
| Deposited On: | 23 April 2011 |
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