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Towards a Viscous Wall Model for Immersed Boundary Methods

机译:浸入边界方法的粘性壁模型

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Immersed boundary methods have drawn wide attention over the past decades due to the fact that the mesh generation process can be automated independent of the complexity of the geometry. While many immersed boundary approaches have been developed, there remains one key challenge that has yet to be solved. The primary shortcoming of Cartesian mesh immersed boundary methods is the inability of efficiently resolving thin turbulent boundary layers encountered in high-Reynolds number flow applications. The inefficiency of resolving this thin region of the flow is associated with the use of constant aspect ratio Cartesian grid cells. Conventional CFD approaches can efficiently resolve the large wall-normal gradients by employing grid stretching towards the wall thereby creating large aspect ratio cells near the wall. This paper discusses different types of local wall modeling approaches that were proposed in previous research studies and combines them with an immersed boundary method. Standard sub- sonic turbulence modeling test cases, i.e., flow past the NACA0012 airfoil and flow over a bump in a channel, are used to test different implementations. A key focus of this paper is to investigate the limitations of the different wall models, numerical implementation details of the immersed boundary method and the coupling effects.
机译:由于网格生成过程可以自动进行而不受几何复杂性的影响,因此浸入式边界方法在过去几十年中引起了广泛的关注。尽管已经开发了许多沉浸式边界方法,但仍然存在一个尚未解决的关键挑战。笛卡尔网格浸入边界方法的主要缺点是无法有效解决高雷诺数流应用中遇到的湍流薄边界层。解决流的这一薄区域的效率低下与使用恒定纵横比的笛卡尔网格单元有关。常规的CFD方法可以通过使用朝向墙的网格拉伸来有效地解析较大的墙法线梯度,从而在墙附近创建大的长宽比单元。本文讨论了先前研究中提出的不同类型的局部墙建模方法,并将其与沉浸边界方法相结合。标准的亚音速湍流建模测试用例,即流经NACA0012机翼的流和流经通道凸点的流,用于测试不同的实现。本文的重点是研究不同墙模型的局限性,沉浸边界法的数值实现细节以及耦合效应。

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