多孔介质中非平稳双扩散自然对流的有限差分法
A Finite Difference Method for Unsteady Double-Diffusive Natural Convection in Porous Medium
摘要: 本文用有限差分方法求多孔介质中非平稳双扩散自然对流问题的数值解，建立了交错网格有限差分格式，并给出这种格式的稳定性分析和收敛阶。最后，用数值算例验证该格式的可行性和有效性，模拟结果与以往发表的工作成果进行了比较，具有非常好的一致性。
Abstract: A finite difference method is used to numerically solve unsteady double-diffusive natural convec-tion in porous medium. A staggered grid finite difference scheme is established, and the stability analysis and convergence order are provided. Finally, some numerical examples are presented to verify the feasibility and efficiency of the staggered grid finite difference scheme. The results are compared with previously published work and excellent agreement has been obtained.
文章引用：蔡志飞. 多孔介质中非平稳双扩散自然对流的有限差分法[J]. 应用数学进展, 2018, 7(8): 1008-1019. https://doi.org/10.12677/AAM.2018.78118

参考文献

[1] 陈宝明, 王补宣, 方肇洪. 多孔介质自然对流中温度梯度与浓度梯度的相互耦合[J]. 工程热物理学报, 1995, V16(2): 210-214.
[2] 竺可桢. 物理学[M]. 北京: 科学出版社, 1973: 1-3.
[3] Nield, D.A. and Bejan, A. (2013) Convection in Porous Media. 4th Edition, Springer, New York. [Google Scholar] [CrossRef] 
[4] Basak, T., Roy, S., Matta, A. and Pop, I. (2010) Analysis of Heatline for Natural Convection within Porous Trapezoidal Enclosures: Effect of Uniform and Non-Uniform Heating of Bottom Wall. International Journal of Heat and Mass Transfer, 53, 5947-5961. [Google Scholar] [CrossRef] 
[5] Sathiyamoorthy, M., Basak, T. and Roy, S. (2011) Non-Darcy Buoyancy Flow in a Square Cavity Filled with Porous Medium for Various Temperature Difference Aspect Ratios. Journal of Porous Media, 14, 649-657. [Google Scholar] [CrossRef] 
[6] Roy, S., Basak, T., Thirumalesha, Ch. and Murali Krishna, Ch. (2008) Finite Element Simulation on Natural Convection Flow in a Triangular Enclosure Due to Uniform and Nonuniform Bottom Heating. Journal of Heat Transfer, 130, Article Number: 032501. [Google Scholar] [CrossRef] 
[7] Nithiarasu, P., Seetharamu, K.N. and Sundarararjan, T. (1997) Natural Convective Heat Transfer in a Fluid Saturated Variable Porosity Medium. International Journal of Heat and Mass Transfer, 40, 3955-3967. [Google Scholar] [CrossRef] 
[8] Mahapatra, T.R., Pal, D. and Mondal, S. (2013) Effects of Buoyancy Ratio on Double-Diffusive Natural Convection in a Lid-Driven Cavity. International Journal of Heat and Mass Transfer, 57, 771-785. [Google Scholar] [CrossRef] 
[9] 张文生. 科学计算中的偏微分方程有限差分法[M]. 北京: 高等教育出版社, 2006.
[10] Chung, T. (2002) Computational Fluid Dynamics. Cambridge University Press, Cambridge, 1036. [Google Scholar] [CrossRef] 

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