TRANSIENT SOLUTIONS BY A LEAST-SQUARES FINITE-ELEMENT METHOD AND JACOBI CONJUGATE-GRADIENT TECHNIQUE

被引：9
作者：
TANG, LQ [1 ]
TSANG, TTH [1 ]
机构：
[1] UNIV KENTUCKY,DEPT CHEM & MAT ENGN,LEXINGTON,KY 40506
来源：
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS | 1995年 / 28卷 / 02期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1080/10407799508928829
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
We present a least-squares finite-element method that can provide implicit, fully coupled transient solutions for time-dependent incompressible fluid flows and thermal convection. The algorithm consists of the Crank-Nicolson scheme for time discretization, Newton's method for linearization, and a matrix-free Jacobi conjugate gradient method as an iterative solver for the symmetric, positive-definite linear system of equations. The combined algorithm is first validated by two-dimensional flows: flows in a square cavity with a periodically oscillating lid and mixed convection in a driven cavity. Then the algorithm is used to obtain transient solutions of a three-dimensional lid-driven cavity flow for Re = 400.
引用
收藏
页码：183 / 198
页数：16
相关论文
共 22 条
[1]   ACCURACY OF LEAST-SQUARES METHODS FOR THE NAVIER-STOKES EQUATIONS [J].
BOCHEV, PB ;
GUNZBURGER, MD .
COMPUTERS & FLUIDS, 1993, 22 (4-5) :549-563
[2]   A COMPARISON OF DIRECT AND PRECONDITIONED ITERATIVE TECHNIQUES FOR SPARSE, UNSYMMETRIC SYSTEMS OF LINEAR-EQUATIONS [J].
BRUSSINO, G ;
SONNAD, V .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1989, 28 (04) :801-815
[3]   A COMPARISON OF GMRES AND CGSTAB ACCELERATIONS FOR INCOMPRESSIBLE NAVIER-STOKES PROBLEMS [J].
CHIN, P ;
FORSYTH, PA .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1993, 46 (03) :415-426
[4]  
FUJIMA S, 1994, COMPUT METHOD APPL M, V112, P109, DOI 10.1016/0045-7825(94)90021-3
[5]  
Golub G.H., 1996, MATH GAZ, VThird
[6]  
GUJ G, 1993, J COMPUT PHYS, V106, P286
[7]  
IWATSU R, 1992, J FLUID ENG-T ASME, V114, P143, DOI 10.1115/1.2910008
[8]   MIXED CONVECTION IN A DRIVEN CAVITY WITH A STABLE VERTICAL TEMPERATURE-GRADIENT [J].
IWATSU, R ;
HYUN, JM ;
KUWAHARA, K .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1993, 36 (06) :1601-1608
[9]   LARGE-SCALE COMPUTATION OF INCOMPRESSIBLE VISCOUS-FLOW BY LEAST-SQUARES FINITE-ELEMENT METHOD [J].
JIANG, BN ;
LIN, TL ;
POVINELLI, LA .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1994, 114 (3-4) :213-231
[10]   LEAST-SQUARES FINITE-ELEMENT METHOD FOR FLUID-DYNAMICS [J].
JIANG, BN ;
POVINELLI, LA .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1990, 81 (01) :13-37
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