AN EFFICIENT LEAST-SQUARES FINITE ELEMENT METHOD FOR INCOMPRESSIBLE FLOWS AND TRANSPORT PROCESSES
作者:
L. Q. TANG,
T. T. H. TSANG,
期刊:
International Journal of Computational Fluid Dynamics
(Taylor Available online 1995)
卷期:
Volume 4,
issue 1-2
页码: 21-39
ISSN:1061-8562
年代: 1995
DOI:10.1080/10618569508904516
出版商: Taylor & Francis Group
关键词: Least-squares Finite Element Method;Jacobi Conjugate Gradient Method;Iterative Methods;Incompressible Flows
数据来源: Taylor
摘要:
A numerical procedure based on a least-squares finite element method (LSFEM) and Jacobi conjugate gradient method (JCG) is presented for the numerical solution of fluid flow and transport problems. Unlike many finite element methods, the LSFEM does not involve any upwinding factor. Furthermore, the LSFEM leads to a symmetric and positive definite linear system of equations which can be solved satisfactorily by a preconditioned conjugate gradient method. Four examples, lid-driven cavity flow, thermally-driven cavity flow, Rayleigh-Bénard convection and doubly-diffusive flow, are presented to validate the preconditioned conjugate gradient method. A comparison of the least-squares finite element method and theGalerkin finite clement method (GFEM) is also given. Finally, we demonstrate that the least-squares finite element method with the Jacobi conjugate gradient iterative technique is a promising approach to solve three-dimensional fluid flow and transport problems.
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