二维/三维时变热微极流体问题的压力校正投影有限元法

Comput. Math. Appl. Pub Date : 2022-03-29 DOI:10.48550/arXiv.2203.15419

Y. Ren, Demin Liu

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引用次数: 2

摘要

本文提出了二维/三维时变热微极流体方程的压力修正有限元法。采用一阶和二阶后向差分公式(BDF)逼近时间导数项，证明了一阶半离散格式的稳定性分析和误差估计。最后，通过数值算例验证了所提方法的有效性和可靠性，该方法可用于高瑞利数问题的模拟。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Pressure Correction Projection Finite Element Method for The 2D/3D Time-Dependent Thermomicropolar Fluid Problem

In this paper, the pressure correctionfinite element method is proposed for the 2D/3D time-dependent thermomicropolarfluid equations. Thefirst-order and second-order backward difference formulas (BDF) are adopted to approximate the time derivative term, stability analysis and error estimation of the first-order semi-discrete scheme are proved. Finally, some numerical examples are given to show the effectiveness and reliability of the proposed method, which can be used to simulate the problem with high Rayleigh number.

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Comput. Math. Appl.

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