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Abstract
This article proposes a new treatment method for nonorthogonal terms in the pressure-correction equation in order to enlarge the ranges of relaxation factors for convergence that are independent of the grid skewness and thus to ease the difficulty in determining the relaxation factors. The proposed method has been tested against four typical nonorthogonal two-dimensional cavity flows on a nonstaggered grid system. The results show that this method yields converged solution in wide ranges of relaxation factors, αu and α p, which is nearly independent of the grid skewness. In addition, since only seven nodes are required to define the coefficient matrix of the pressure-correction equation for three-dimensional flows, the proposed method makes computations of three-dimensional flows quite practical.
Notes
Address correspondence to Myung Kyoon Chung, Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong, Yusong-ku, Taejon, 305-701, Korea.