Fast iterative solvers for buoyancy driven flow problems

JOURNAL OF COMPUTATIONAL PHYSICS

卷:230

Article

Elman, Howard¹  Mihajlovic, Milan²  Silvester, David³ 

[1] Univ Maryland, Inst Adv Comp Studies, College Pk, MD 20742 USA

[2] Univ Manchester, Sch Comp Sci, Manchester M13 9PL, Lancs, England

[3] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

关键词: Navier-Stokes;    Boussinesq;    Finite element approximation;    Time stepping;    Adaptivity;    Preconditioning;    Algebraic multigrid;   

DOI  :  10.1016/j.jcp.2011.02.014

来源: Elsevier

【 摘 要 】

We outline a new class of robust and efficient methods for solving the Navier-Stokes equations with a Boussinesq model for buoyancy driven flow. 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 efficiency of the chosen preconditioning schemes with respect to the discretization parameters. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free