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arXiv 1310.6641physics.flu-dyncs.NAmath.NA
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Reynolds数为40时圆柱体上流动的参考解

A reference solution of the flow over a circular cylinder at Re=40

Institut Pprime, CNRS-Université de Poitiers-ENSMA(普里姆研究所,法国国家科学研究中心-普瓦捷大学-国立高等航空航天学院)

Rémi Gautier, Damien Biau, Eric Lamballais

AI总结:

本文提出了一种新的边界条件,用于提高无限流域的表示,特别是在尾涡区域。该参考解可作为验证代码的基准,通过谱插值提供用户友好的脚本,用于收敛研究和数值误差的空间分布分析。

摘要:

本文使用高精度伪谱代码研究了Reynolds数为40时圆柱体上流动的经典问题。提出了一种新的边界条件以改进无限流域的表示,特别是在远尾涡区域。结果显示,计算的流动精度允许其作为代码验证的参考解。此参考解可通过谱插值在距离圆柱中心50个直径范围内任何位置获得,附录中提供了用户友好的脚本。本文展示了该解如何用于收敛研究和数值误差的空间分布分析。主要目标是将此参考解作为数值验证和发展的有用工具,特别是用于改进浸入边界方法以实现高阶精度。

英文摘要:

The classical problem of the flow over a circular cylinder at Reynolds number 40 is considered using an accurate pseudo-spectral code. A new set of boundary conditions is proposed to improve the representation of the infinite flow domain, especially in the far wake area. It is shown that the resulting accuracy of the computed flow allows its use as a reference solution for code validation. This reference solution is reachable at any location up to 50 cylinder diameters far from the cylinder centre through spectral interpolation with a user-friendly script provided in appendix. It is shown how this solution offers the opportunity to perform a convergence study and to investigate the spatial distribution of numerical errors. The main goal of this study is to propose this reference solution as an helpful tool for numerical validation and development, especially for the improvement of immersed boundary methods toward high-order accuracy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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