Fast iterative solvers for buoyancy driven flow problems

被引：26

作者：

Elman, Howard ^{[1
]}

Mihajlovic, Milan ^{[2
]}

Silvester, David ^{[3
]}

机构：

[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

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2011年 / 230卷 / 10期

基金：

美国国家科学基金会; 英国工程与自然科学研究理事会;

关键词：

Navier-Stokes; Boussinesq; Finite element approximation; Time stepping; Adaptivity; Preconditioning; Algebraic multigrid; NAVIER-STOKES EQUATIONS; INCOMPRESSIBLE-FLOW; CONVECTION; PRECONDITIONERS; ALGORITHMS; BENCHMARK; STABILITY; CAVITY;

D O I：

10.1016/j.jcp.2011.02.014

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

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.

引用

页码：3900 / 3914

页数：15

共 22 条

[1]

[Anonymous], 2000, INCOMPRESSIBLE FLOW

[2] HSL MI20: An efficient AMG preconditioner for finite element problems in 3D [J].

Boyle, Jonathan ;

Mihajlovic, Milan ;

Scott, Jennifer .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2010, 82 (01) :64-98

[3] Computational predictability of time-dependent natural convection flows in enclosures (including a benchmark solution) [J].

Christon, MA ;

Gresho, PM ;

Sutton, SB .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2002, 40 (08) :953-980

[4] A monolithic FEM-multigrid solver for non-isothermal incompressible flow on general meshes [J].

Damanik, H. ;

Hron, J. ;

Ouazzi, A. ;

Turek, S. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 228 (10) :3869-3881

[5] An operator-splitting finite-element approach to the 8:1 thermal-cavity problem [J].

Davis, D ;

Bänsch, E .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2002, 40 (08) :1019-1030

[6] An analysis of the time integration algorithms for the finite element solutions of incompressible Navier-Stokes equations based on a stabilised formulation [J].

Dettmer, W ;

Peric, D .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (9-10) :1177-1226

[7]

Drazin P.G., 2002, Introduction to Hydrodynamic Stability

[8]

ELMAN H, 2005, FINITE ELEMENTS FAST

[9]

Elman HC, 2009, ELECTRON T NUMER ANA, V35, P257

[10] Stability of multiple steady states of convection in laterally heated cavities [J].

Gelfgat, AY ;

Bar-Yoseph, PZ ;

Yarin, AL .

JOURNAL OF FLUID MECHANICS, 1999, 388 :315-334

← 1 2 3 →