Time-dependent flows in grooved non-isothermal channels,International Journal for Numerical Methods in Fluids

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Time-dependent flows in grooved non-isothermal channels
International Journal for Numerical Methods in Fluids ( IF 1.7 ) Pub Date : 2021-07-28 , DOI: 10.1002/fld.5035
S. Panday ₁ , J. M. Floryan ₁

Affiliation

A highly accurate and fully implicit algorithm for analyses of transient effects in heated grooved channels, including chaotic responses and transition to secondary states, has been developed. The algorithm can handle pattern interaction problems arising from combinations of geometric and heating patterns which are expected to be beneficial in the development of energy efficient stirring systems. The algorithm uses spectral spatial discretization and up to sixth-order temporal discretization, providing the means to deliver machine accuracy. The spatial discretization relies on a combination of Chebyshev and Fourier expansions, guaranteeing very good resolution in the vicinity of the grooved walls. The enforcement of boundary conditions along the irregular boundaries is carried out using the immersed boundary conditions. The overall discretization leads to a gridless algorithm and provides the geometric flexibility required for efficient analyses of multitude of topography patterns. Extensive testing demonstrates that the algorithm achieves the theoretically predicted accuracy.

中文翻译：

沟槽非等温通道中的瞬态流动

已经开发了一种高度准确和完全隐式的算法，用于分析加热凹槽通道中的瞬态效应，包括混沌响应和向二级状态的转变。该算法可以处理由几何和加热模式组合引起的模式交互问题，这有望有助于开发节能搅拌系统。该算法使用光谱空间离散化和最高六阶时间离散化，提供了提供机器精度的方法。空间离散化依赖于切比雪夫和傅立叶展开的组合，保证了凹槽壁附近非常好的分辨率。使用浸入边界条件执行沿不规则边界的边界条件。整体离散化导致无网格算法，并提供有效分析多种地形模式所需的几何灵活性。广泛的测试表明该算法达到了理论预测的准确性。

更新日期：2021-07-28

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