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arXiv 2501.02121physics.flu-dyn
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壁面约束流动的湍流解析积分模拟

Turbulence-Resolving Integral Simulations for Wall-Bounded Flows

Tanner Ragan, Mark Warnecke, Samuel T. Stout, Perry L. Johnson

AI总结:

本文提出湍流解析积分模拟(TRIS)框架,利用二维三分量表示高效解析壁面约束流动的大尺度运动,在单处理器上实现快速模拟,并验证其作为壁面湍流建模新方法的可行性。

摘要:

湍流模型的物理保真度可以通过部分解析脉动来提升,但这通常会增加计算成本。为了在壁面约束流动背景下探索这种权衡,本文提出了一种湍流解析积分模拟(TRIS)框架,旨在利用由速度和压力的瞬时壁面法向积分定义的二维三分量流动表示,高效解析最大尺度的运动。使用从 Navier-Stokes 方程导出的动量矩积分方程及相对简单的闭合近似,证明了 TRIS 在明渠(半渠道)流动配置中能够产生具有定性真实大尺度结构的自持湍流。来自直接数值模拟(DNS)的证据表明,对于摩擦雷诺数在 180 至 5200 之间的情况,TRIS 理论上可解析 35-40% 的湍流摩擦阻力增量,且不随雷诺数发生明显增减。当前 TRIS 实现可在单处理器上约 1 分钟内模拟一个流动通过时间,即便在极大雷诺数下亦如此。该框架便于将预测统计量与 DNS 数据进行详细的逐项对比。在摩擦雷诺数为 395 和 590 时的比较表明,TRIS 生成了相对准确的流动表示,同时凸显了需改进闭合模型的差异。明渠流动的现有结果验证了 TRIS 作为壁面约束湍流建模新方法的可行性,为其推广至浸没物体边界层等更一般流动配置提供了依据。

英文摘要:

The physical fidelity of turbulence models can benefit from a partial resolution of fluctuations, but doing so often comes with an increase in computational cost. To explore this trade-off in the context of wall-bounded flows, this paper introduces a framework for Turbulence-Resolving Integral Simulations (TRIS) with the goal of efficiently resolving the largest motions using a two-dimensional, three component representation of the flow defined by instantaneous wall-normal integrals of velocity and pressure. Self-sustaining turbulence with qualitatively realistic large-scale structures is demonstrated for TRIS on an open-channel (half-channel) flow configuration using moment-of-momentum integral equations derived from Navier-Stokes with relatively simple closure approximations. Evidence from Direct Numerical Simulations (DNS) suggests that TRIS can theoretically resolve 35-40% of the turbulent skin friction enhancement for friction Reynolds numbers between 180 and 5200, without a noticeable decrease or increase as a function of Reynolds number. The current implementation of TRIS can match this resolution while simulating one flow through time in ~1 minute on a single processor, even for very large Reynolds numbers. The framework facilitates a detailed apples-to-apples comparison of predicted statistics against data from DNS. Comparisons at friction Reynolds numbers of 395 and 590 show that TRIS generates a relatively accurate representation of the flow, while highlight discrepancies that demonstrate a need for improving the closure models. The present results for open-channel flow represent a proof of concept for TRIS as a new approach for wall-bounded turbulence modeling, motivating extension to more general flow configurations such as boundary layers on immersed objects.

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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