The effect of choosing dependent variables and cell-face velocities on convergence of the SIMPLE algorithm using non-orthogonal grids
The effect of choosing dependent variables and cell-face velocities on convergence of the SIMPLE algorithm using non-orthogonal grids
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.
algorithms, convergence, fluid mechanics
524-546
Lai, H.
d29d0222-d1d4-4188-b3c9-fcc6f5b33e1e
Yan, Y.Y.
d551c7ee-a7f9-43ff-bfef-63b3dee23979
2001
Lai, H.
d29d0222-d1d4-4188-b3c9-fcc6f5b33e1e
Yan, Y.Y.
d551c7ee-a7f9-43ff-bfef-63b3dee23979
Lai, H. and Yan, Y.Y.
(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 and Fluid Flow, 11 (6), .
(doi:10.1108/EUM0000000005667).
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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Published date: 2001
Additional Information:
This paper firstly proposed a “cell-face velocity cross-correction” method to improve the convergence performance of the SIMPLE method. The effects were studied of choosing different velocity components as dependent variables on the convergence of calculations. The equivalence of the two pressure-correction equations is analytically proved and numerically validated.
Keywords:
algorithms, convergence, fluid mechanics
Identifiers
Local EPrints ID: 40756
URI: http://eprints.soton.ac.uk/id/eprint/40756
ISSN: 0961-5539
PURE UUID: 622fd6b4-95c2-44c6-8ffd-1dcaf9116443
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Date deposited: 10 Jul 2006
Last modified: 15 Mar 2024 08:22
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Author:
H. Lai
Author:
Y.Y. Yan
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