A spectrally accurate and very efficient algorithm suitable for prediction of pressure losses in heated grooved channels has been developed. Heating and topography patterns are used to create spatial flow modulations resulting in a pattern interaction problem. Search for combinations of patterns resulting in the reduction of pressure losses requires development of a very accurate and efficient algorithm. The proposed algorithm uses a combination of the Fourier expansions in the horizontal directions and the Chebyshev expansions in the vertical direction to provide a very good resolution of the near wall regions. The immersed boundary conditions (IBC) method is used to enforce flow boundary conditions at the geometrically irregular boundaries. The resulting gridless discretization can be easily adapted to handle a wide range of topography patterns. Various tests demonstrate that the algorithm delivers spectral accuracy and can provide machine level accuracy. Comparisons with the standard open‐source codes based either on the finite volume or on the spectral element discretization demonstrate several orders of magnitude better efficiency of the proposed algorithm.

中文翻译：

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一种分析加热通道内压力损失的算法

已经开发了一种光谱准确且非常有效的算法，适用于预测加热的带槽通道中的压力损失。加热和地形图案被用于产生空间流动调制，从而导致图案相互作用问题。寻找导致压力损失减少的模式组合需要开发一种非常准确和有效的算法。所提出的算法结合了水平方向的傅立叶展开和垂直方向的切比雪夫展开的组合，从而为近壁区域提供了很好的分辨率。浸入边界条件（IBC）方法用于在几何不规则边界处强制执行流动边界条件。最终的无网格离散化可以轻松地适应各种地形图案。各种测试表明，该算法可提供频谱准确性，并可以提供机器级别的准确性。与基于有限体积或基于频谱元素离散化的标准开源代码的比较表明，所提出算法的效率提高了几个数量级。