Adaptive time-stepping for incompressible flow part II: Navier-stokes equations

David A. Kay; Philip M. Gresho; David F. Griffiths; David J. Silvester

doi:10.1137/080728032

Adaptive time-stepping for incompressible flow part II: Navier-stokes equations

David A. Kay, Philip M. Gresho, David F. Griffiths, David J. Silvester

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	111-128
Number of pages	17
Journal	SIAM Journal on Scientific Computing
Volume	32
Issue number	1
DOIs	https://doi.org/10.1137/080728032
Publication status	Published - 2010

Keywords

Adaptivity
Fast solvers
Navier-stokes
Preconditioning
Time-stepping

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title = "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. {\textcopyright} 2010 Society for Industrial and Applied Mathematics.",

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T1 - Adaptive time-stepping for incompressible flow part II: Navier-stokes equations

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AU - Gresho, Philip M.

AU - Griffiths, David F.

AU - Silvester, David J.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - Adaptivity

KW - Fast solvers

KW - Navier-stokes

KW - Preconditioning

KW - Time-stepping

U2 - 10.1137/080728032

DO - 10.1137/080728032

M3 - Article

SN - 1064-8275

VL - 32

SP - 111

EP - 128

JO - SIAM Journal on Scientific Computing

JF - SIAM Journal on Scientific Computing

IS - 1

ER -

Adaptive time-stepping for incompressible flow part II: Navier-stokes equations

Abstract

Keywords

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