Analysis and finite element simulations of a second‐order fluid model in a bounded domain
Analysis and finite element simulations of a second‐order fluid model in a bounded domain
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有界域二阶流体模型的分析和有限元模拟
DOI：
10.1002/num.20236
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发表时间：
2007
影响因子：
3.9
通讯作者：
A. Sequeira
中科院分区：
文献类型：
--
作者：
N. Arada;P. Correia;A. Sequeira
这篇文章关注的是粘弹性不可压缩二阶流体在有界区域中的定常运动方程。给出了强解存在唯一性的一个新的证明。此外，使用适当的有限元方法来近似一个耦合的等价问题，尖锐的误差估计使用一个不动点的论点。该方法被应用到二维盖驱动空腔问题，在低雷诺数和一定范围内的粘弹性参数的值，分析惯性和粘弹性的流动的组合效应。© 2007 Wiley Periodicals，Inc.数学方法偏微分方程，2007
This article is concerned with the equations governing the steady motion of a viscoelastic incompressible second‐order fluid in a bounded domain. A new proof of existence and uniqueness of strong solutions is given. In addition, using appropriate finite element methods to approximate a coupled equivalent problem, sharp error estimates are obtained using a fixed point argument. The method is applied to the two‐dimensional lid‐driven cavity problem, at low Reynolds number and in a certain range of values of the viscoelastic parameters, to analyze the combined effects of inertia and viscoelasticity on the flow. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2007