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arXiv 2602.09759physics.flu-dynphysics.comp-ph
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利用非平衡输运模型与混合长度特征时间闭合的空间发展圆柱射流波-粒子湍流模拟

Wave Particle Turbulent Simulation of Spatially Developing Round Jets Using a Non Equilibrium Transport Model with a Mixing Length Characteristic Time Closure

Hong Kong University of Science and Technology(香港科技大学);Shenzhen Research Institute, Hong Kong University of Science and Technology(香港科技大学深圳研究院)

Xiaojian Yang, Kun Xu

AI总结:

本文提出了一种基于混合长度特征时间模型的WPTS方法,用于模拟空问发展圆柱射流,验证了其在湍流建模中的有效性。

摘要:

在本文中,波-粒子湍流模拟(WPTS),一种 recently 开发的多尺度、非平衡湍流建模方法,与从普朗特混合长度假说中推导出的湍流特征时间闭合相结合,并应用于空间发展圆柱射流。在WPTS中,强湍流区域中的流体元素由拉格朗日粒子表示,这些粒子在与背景流场(以波状形式表示)相互作用前会旅行有限的距离。这种机制在概念上类似于普朗特混合长度模型中所调用的离散流体 parcel。WPTS 与传统基于混合长度的湍流模型有两个关键区别。首先,粒子的演化遵循非平衡输运机制,而不是通常嵌入在涡黏度闭合中的平衡假设。其次,WPTS 以耦合的方式推进波和粒子成分,其中粒子分数主要由建模的湍流特征时间所决定,这使层流和湍流区域能够在统一的框架内得到表示。由于空间发展射流提供了一个具有已确立相似行为的典型测试案例,因此在这里用于评估。具体而言,这项工作(1)开发了一个针对射流流动的混合长度特征时间模型;(2)将其纳入WPTS以评估预测性能。所得到的WPTS框架在雷诺数为5,000和20,000时准确再现了射流相似解和其他特征,证明了WPTS作为湍流建模和模拟实用工具的潜力。

英文摘要:

In this paper, the wave-particle turbulent simulation (WPTS), a recently developed multiscale, non-equilibrium turbulence modeling approach, is coupled with a turbulence characteristic-time closure derived from Prandtl mixing-length hypothesis and applied to spatially developing round jets. In WPTS, fluid elements in strongly turbulent regions are represented by Lagrangian particles that travel a finite distance before interacting with the background flow field represented in a wave-like (Eulerian) form. This mechanism bears conceptual similarity to the discrete fluid parcels invoked in the Prandtl mixing-length picture. WPTS differs from conventional mixing-length-based turbulence models in two key respects. First, particle evolution follows a non-equilibrium transport mechanism, rather than the equilibrium assumptions typically embedded in eddy-viscosity closures. Second, WPTS advances the wave and particle components in a coupled manner, with the particle fraction governed primarily by the modeled turbulence characteristic time, enabling laminar and turbulent regimes to be represented within a unified framework. Because spatially developing jets provide a canonical test case with well-established similarity behavior, they are used here for evaluation. Specifically, this work (1) develops a mixing-length-based characteristic-time model tailored to jet flows and (2) incorporates it into WPTS to assess predictive performance. The resulting WPTS framework accurately reproduces the jet similarity solution and other characteristic features at Reynolds numbers of 5,000 and 20,000, demonstrating the promise of WPTS as a practical tool for turbulence modeling and simulation.

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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