Several Iterative Schemes for the Stationary Natural Convection Equations at Different Rayleigh Numbers
Several Iterative Schemes for the Stationary Natural Convection Equations at Different Rayleigh Numbers
复制标题
不同瑞利数下稳态自然对流方程的几种迭代方案
DOI：
10.1002/num.21915
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发表时间：
2015-05-01
影响因子：
3.9
通讯作者：
Si, Zhiyong
中科院分区：
文献类型：
--
作者：
Huang, Pengzhan;Li, Wenqiang;Si, Zhiyong
本文研究了求解二维自然对流方程的几种基于有限元离散和三角剖分的迭代格式。我们建立了一些参考点，用于评估三种方案对Rayleigh数的可能影响。在这种情况下，方案I和II可以很好地运行。最后，在这种情况下，只有方案I仍然是稳定和收敛的。通过数值实验验证了所提方案的性能，验证了理论分析的正确性。(C)2014 Wiley期刊，Inc.数字方法偏差式31：761-776,2015
Several iterative schemes based on finite element discretization with triangulation for solving two-dimensional natural convection equations are studied in this article. We establish some reference points for evaluation of the possible impact from three kinds of schemes with respect to Rayleigh numbers. In case of , Schemes I and II can run well. Finally, in case of , only Scheme I is still stable and convergent. Numerical experiment is presented and discussed for testing of the performances of the proposed schemes, which confirms the theoretic analysis. (c) 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 761-776, 2015