Journal
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
Volume 121, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.icheatmasstransfer.2020.104860
Keywords
Natural convection equations; Projection methods; Velocity-correction; Rotational form; Stability
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Funding
- NSF of China [11701493, 12061076, 12061075]
- Natural Science Foundation of Xinjiang Province [2016D01C073]
- Tianshan Youth Project of Xinjiang Province [2017Q079]
- Key Research Project of Universities in the Xinjiang Uygur Autonomous Region [XJEDU2020I001]
- Open Project of Key Laboratory of Xinjiang Uygur Autonomous Region [2020D04002]
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Two categories of efficient decoupled methods for the unsteady incompressible natural convection equations are presented and analyzed in this article. The proposed methods include first order, second order standard form, and rotational form, and can be extended to any order schemes. The correctness of the theoretical analysis and the effectiveness of the given methods are verified through several numerical experiments.
We present and analyze two categories of efficient decoupled methods for the unsteady incompressible natural convection equations in this article. The proposed methods include first order, second order standard form and rotational form, and are extended to any order schemes. Some consistency items are added to help complete the stability analysis, and they disappear in non-discrete space. Finally, the correctness of the theoretical analysis and the effectiveness of the given methods are verified by several numerical experiments.
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