Several iterative schemes for the stationary natural convection equations at different Rayleigh numbers |
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| Authors: | Pengzhan Huang Wenqiang Li Zhiyong Si |
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| Affiliation: | 1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, People's Republic of China;2. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, People's Republic of China;3. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, People's Republic of China |
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| Abstract: | 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  , all schemes are stable and convergent. Moreover, 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. © 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 761–776, 2015 |
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| Keywords: | natural convection equations finite element discretization iterative schemes Rayleigh numbers uniqueness condition |
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