Adaptive Time-Stepping for Incompressible Flow Part II: Navier--Stokes Equations

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: 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 potential of our approach. Key words. time-stepping, adaptivity, Navier–Stokes, preconditioning, fast solvers AMS subject classifications. 65M12, 65M15, 65M20 DOI. 10.1137/080728032

• Type: Journal
• Year: 2010
• Where: SIAMSC
• Authors: David A. Kay, Philip M. Gresho, David F. Griffiths, David J. Silvester
• Keywords: Explicit Adams–bashforth Method, Navier– Stokes Equations, Robust Krylov Subspace, SIAMSC 2010