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Journal cover: International Journal of Numerical Methods for Heat & Fluid Flow

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Online from: 1991

Subject Area: Mechanical & Materials Engineering

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The effect of choosing dependent variables and cell-face velocities on convergence of the SIMPLE algorithm using non-orthogonal grids


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Title:The effect of choosing dependent variables and cell-face velocities on convergence of the SIMPLE algorithm using non-orthogonal grids
Author(s):H. Lai, (Department of Mechanical and Manufacturing Engineering, Nottingham Trent University, Nottingham, UK), Y.Y. Yan, (Department of Mechanical and Manufacturing Engineering, Nottingham Trent University, Nottingham, UK)
Citation:H. Lai, Y.Y. Yan, (2001) "The effect of choosing dependent variables and cell-face velocities on convergence of the SIMPLE algorithm using non-orthogonal grids", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 11 Iss: 6, pp.524 - 546
Keywords:Algorithms, Convergence, Fluid mechanics
Article type:Conceptual Paper
DOI:10.1108/EUM0000000005667 (Permanent URL)
Publisher:MCB UP Ltd
Abstract:In this paper the effects of choosing dependent variables and cell face velocities on convergence of the SIMPLE algorithm are discussed. Using different velocity components as either dependent variables or cell-face velocities, both convergent rate and calculation accuracy of the algorithm are compared and studied. A novel method, named “cross-correction”, is developed to improve the convergence of the algorithm of using non-orthogonal grids. Cases with benchmark and analytical solutions are used for numerical experiments and validation. The results show that, although different velocity components are employed as either dependent variables or cell face velocities, there is no obvious difference in both the convergent rates and numerical solutions. Moreover, the “cross-correction” method is validated by computations with several first-order and high-order convection schemes; and the generality of convergence improvement achieved by the method is shown in the paper.



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