Application of a fuzzy control method in SIMPLER algorithm and its solving performance analysis

被引：0
|
作者：
Wang Y. [1 ]
Sun D. [2 ]
Miao Z. [1 ]
Chen J. [2 ]
Cai X. [2 ]
机构：
[1] School of Renewable Energy, North China Electric Power University, Beijing
[2] School of Mechanical Engineering, Beijing Institute of Petrochemical Technology, Beijing
来源：
Hsi-An Chiao Tung Ta Hsueh/Journal of Xi'an Jiaotong University | 2016年 / 50卷 / 01期
关键词：
Convergence rate; Fuzzy control; Robustness; SIMPLER algorithm; Three-dimensional fluid flow problem; Under-relaxation factor;
D O I：
10.7652/xjtuxb201601013
中图分类号：
学科分类号：
摘要：
In order to enhance the solving performance of the SIMPLER algorithm for three-dimensional fluid flow problems, a fuzzy control method was introduced to automatically adjust the value of the velocity under-relaxation factor. The ratio of the maximum momentum residuals of two successive iteration levels is used as the input variable of the fuzzy control, and the variation of the velocity under-relaxation factor is taken as the output variable of the fuzzy control. Based on the changing trend of the maximum momentum residual, the velocity under-relaxation factor could be adjusted for accelerating the iteration convergence. Finally, the fuzzy control method was evaluated by solving three classic fluid flow problems. It could be concluded that when the initial under-relaxation factor is set at its most unfavorable value, the convergence rate of the fuzzy control method is about 5-30 times of the fixed relaxation factor method; however, when the initial under-relaxation factor is at its optimum value, the ratio of the iteration number of the fuzzy control method to the fixed relaxation factor method is 0.7-2.0 and there is a little difference for the convergence rates between the two methods. The SIMPLER algorithm using fuzzy control method could not only always get solutions with high convergence rate under different initial under-relaxation factors, but also possess much better robustness. Therefore, this research is of great significance in improving the solving performance of the SIMPLER algorithm for three-dimensional fluid flow problems. © 2016, Editorial Office of Journal of Xi'an Jiaotong University. All right reserved.
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页码：78 / 84
页数：6
相关论文
共 16 条
  • [11] Dragojlovic Z., Kaminski D.A., Ryoo J., Et al., Tuning of a fuzzy rule set for controlling convergence of a CFD solver in turbulent flow, International Journal of Heat and Mass Transfer, 44, 20, pp. 3811-3822, (2001)
  • [12] Dragojlovic Z., Kaminski D.A., A fuzzy logic algorithm for acceleration of convergence in solving turbulent flow and heat transfer problems, Numerical Heat Transfer: Part B, 46, 4, pp. 301-327, (2004)
  • [13] Jain A., Kaminski D.A., Effect of fin number and position on thermal behavior of natural convection in enclosed cavity using fuzzy controller algorithm, Proceedings of the 2007 IEEE Symposium on Foundations of Computational Intelligence, pp. 516-522, (2007)
  • [14] Jain A., Kaminski D.A., Using cognitive computing to extend the range of Grashof number in numerical simulation of natural convection, International Journal of Heat and Mass Transfer, 52, 15, pp. 3446-3455, (2009)
  • [15] Li Z.Y., Tao W.Q., A new stability-guaranteed second-order difference scheme, Numerical Heat Transfer: Part B, 42, 4, pp. 349-365, (2002)
  • [16] Tang L.Q., Cheng T., Tsang T.T.H., Transient solutions for three-dimensional lid-driven cavity flows by a least-squares finite element method, International Journal for Numerical Methods in Fluids, 21, 5, pp. 413-432, (1995)
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