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ADAPTIVE TIME-STEPPING FOR INCOMPRESSIBLE FLOW PART II: NAVIER-STOKES EQUATIONS

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: 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. © 2010 Society for Industrial and Applied Mathematics.
Publication status:
Published

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Publisher copy:
10.1137/080728032

Authors


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Institution:
University of Oxford
Department:
Oxford, MPLS, Computer Science
Gresho, PM More by this author
Griffiths, DF More by this author
Silvester, DJ More by this author
Journal:
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Volume:
32
Issue:
1
Pages:
111-128
Publication date:
2010
DOI:
EISSN:
1095-7197
ISSN:
1064-8275
URN:
uuid:394fa169-2273-4e90-9cf5-0be2b086ed19
Source identifiers:
298130
Local pid:
pubs:298130

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