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Application of algebraic multigrid method to the numerical prediction of turbulent flow |
Received:November 28, 2008 Revised:November 14, 2009 |
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DOI:10.7511/jslx20106011 |
KeyWord:algebraic multigrid method conical diffuser turbulent flow DLR k-ε turbulent model sparse matrix |
Author | Institution |
蒋光彪 |
中南林业科技大学 流变力学与材料工程研究所,长沙 |
何永森 |
湘潭大学 数学与计算科学学院,湘潭 |
肖映雄 |
湘潭大学 土木工程与力学学院,湘潭 |
舒适 |
湘潭大学 数学与计算科学学院,湘潭 |
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Abstract: |
A conical diffuser has been widely used in mechanical and mine engineering. DLR k-ε turbulent model is discreted by finite difference method. A full implicit difference scheme of high precision based on 13 points node stencil is constructed.Large sparse matrices with 13 diagonals are formed.The sparse matrices are compressively stored by three one-dimension arrays for saving memory.The algebraic multigrid method is a popular fast algorithm which is used to solve the discrete systems of differential equations. Numerical method of integrating the DLR k-ε turbulent model with the algebraic multigrid method are posed and the detailed implement process is given . Numerical experiments are shown that the computational efficiency is improved and the numerical results agree well with the experiment results. |