Adaptive time-stepping for incompressible flow. Part II: Navier-Stokes equations

TY - JOUR

T1 - Adaptive time-stepping for incompressible flow. Part II: Navier-Stokes equations

AU - Kay, David A.

AU - Gresho, Philip M.

AU - Griffiths, David

AU - Silvester, David J.

N1 - © 2008 Society for Industrial and Applied Mathematics

PY - 2010/2

Y1 - 2010/2

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 - Time-stepping

KW - Adaptivity

KW - Navier-Stokes

KW - Preconditioning

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 -