Analysis of a fractional-step method on overset grids

被引：31

作者：

Burton, TM ^{[1
]}

Eaton, JK ^{[1
]}

机构：

[1] Stanford Univ, Dept Engn Mech, Stanford, CA 94305 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2002年 / 177卷 / 02期

关键词：

unsteady Navier-Stokes; fractional-step; overset grids; staggered grid;

D O I：

10.1006/jcph.2002.7012

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A fractional-step method for solving the incompressible Navier-Stokes equations on overset grids is derived as a matrix factorization of the spatially and temporally discretized system of equations. The algorithm is applied to several test problems using second-order-accurate finite-volume flux differencing on staggered grid systems and a hybrid implicit/explicit time advancement scheme. Spatial order of accuracy is shown to depend on the behavior of the overset grid overlap during grid refinement. The temporal order of accuracy of the time advancement algorithm on a single grid is maintained on the overset grid. (C) 2002 Elsevier Science (USA).

引用

页码：336 / 364

页数：29

共 17 条

[1] Accurate projection methods for the incompressible Navier-Stokes equations [J].

Brown, DL ;

Cortez, R ;

Minion, ML .

JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 168 (02) :464-499

[2] A SCHEME FOR CONSERVATIVE INTERPOLATION ON OVERLAPPING GRIDS [J].

CHESSHIRE, G ;

HENSHAW, WD .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1994, 15 (04) :819-845

[3] COMPOSITE OVERLAPPING MESHES FOR THE SOLUTION OF PARTIAL-DIFFERENTIAL EQUATIONS [J].

CHESSHIRE, G ;

HENSHAW, WD .

JOURNAL OF COMPUTATIONAL PHYSICS, 1990, 90 (01) :1-64

[4] APPROXIMATE FACTORIZATION AS A HIGH-ORDER SPLITTING FOR THE IMPLICIT INCOMPRESSIBLE-FLOW EQUATIONS [J].

DUKOWICZ, JK ;

DVINSKY, AS .

JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 102 (02) :336-347

[5] A 4TH-ORDER ACCURATE METHOD FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS ON OVERLAPPING GRIDS [J].

HENSHAW, WD .

JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 113 (01) :13-25

[6] NUMERICAL COMPUTATION OF UNSTEADY INCOMPRESSIBLE-FLOW IN COMPLEX-GEOMETRY USING A COMPOSITE MULTIGRID TECHNIQUE [J].

HINATSU, M ;

FERZIGER, JH .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1991, 13 (08) :971-997

[7] Computational approach for probing the flow through artificial heart devices [J].

Kiris, C ;

Kwak, D ;

Rogers, S ;

Chang, ID .

JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 1997, 119 (04) :452-460

[8] B-spline method and zonal grids for simulations of complex turbulent flows [J].

Kravchenko, AG ;

Moin, P ;

Shariff, K .

JOURNAL OF COMPUTATIONAL PHYSICS, 1999, 151 (02) :757-789

[9] Canonical fractional-step methods and consistent boundary conditions for the incompressible Navier-Stokes equations [J].

Lee, MJ ;

Oh, BD ;

Kim, YB .

JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 168 (01) :73-100

[10] Assessment of grid interface treatments for multi-block incompressible viscous flow computation [J].

Liu, J ;

Shyy, W .

COMPUTERS & FLUIDS, 1996, 25 (08) :719-740

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