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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 (2008) Adaptive time-stepping for incompressible flow Part II: Navier-Stokes Equations.

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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 2000 > 65 Numerical analysis
MSC 2000 > 76 Fluid mechanics
MIMS number:2008.61
Deposited By:professor david silvester
Deposited On:23 June 2008

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