ON ERROR-ESTIMATES OF PROJECTION METHODS FOR NAVIER-STOKES EQUATIONS - 1ST-ORDER SCHEMES

被引：238

作者：

Shen, J

机构：

[1] INDIANA UNIV, DEPT MATH, BLOOMINGTON, IN 47405 USA

[2] INDIANA UNIV, INST APPL MATH & SCI COMP, BLOOMINGTON, IN 47405 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 01期

关键词：

PROJECTION METHOD; NAVIER-STOKES EQUATIONS; RATE OF CONVERGENCE;

D O I：

10.1137/0729004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper projection methods (or fractional step methods) are studied in the semidiscretized form for the Navier-Stokes equations in a two- or three-dimensional bounded domain. Error estimates for the velocity and the pressure of the classical projection scheme are established via the energy method. A modified projection scheme which leads to improved error estimates is also proposed.

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页码：57 / 77

页数：21

相关论文

共 19 条

[1] A 2ND-ORDER PROJECTION METHOD FOR THE INCOMPRESSIBLE NAVIER STOKES EQUATIONS [J].

BELL, JB ;

COLELLA, P ;

GLAZ, HM .

JOURNAL OF COMPUTATIONAL PHYSICS, 1989, 85 (02) :257-283

[2] NUMERICAL SOLUTION OF NAVIER-STOKES EQUATIONS [J].

CHORIN, AJ .

MATHEMATICS OF COMPUTATION, 1968, 22 (104) :745-&

[3] ON CONVERGENCE OF DISCRETE APPROXIMATIONS TO NAVIER-STOKES EQUATIONS [J].

CHORIN, AJ .

MATHEMATICS OF COMPUTATION, 1969, 23 (106) :341-&

[4]

FORTIN M, 1971, J MECANIQUE, V10, P357

[5] FINITE-ELEMENT APPROXIMATION OF THE NONSTATIONARY NAVIER-STOKES PROBLEM .1. REGULARITY OF SOLUTIONS AND 2ND-ORDER ERROR-ESTIMATES FOR SPATIAL DISCRETIZATION [J].

HEYWOOD, JG ;

RANNACHER, R .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1982, 19 (02) :275-311

[6] FINITE-ELEMENT APPROXIMATION OF THE NONSTATIONARY NAVIER-STOKES PROBLEM .4. ERROR ANALYSIS FOR 2ND-ORDER TIME DISCRETIZATION [J].

HEYWOOD, JG ;

RANNACHER, R .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1990, 27 (02) :353-384

[7]

Jie Shen, 1990, Applicable Analysis, V38, P201, DOI 10.1080/00036819008839963

[8] APPLICATION OF A FRACTIONAL-STEP METHOD TO INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].

KIM, J ;

MOIN, P .

JOURNAL OF COMPUTATIONAL PHYSICS, 1985, 59 (02) :308-323

[9]

LU T, IN PRESS APPL MATH L

[10]

Orszag S. A., 1986, Journal of Scientific Computing, V1, P75, DOI 10.1007/BF01061454