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Hydrodynamic Channel Flow Modeling Using Combined Large Eddy Simulation and Wall Functions

机译:结合大涡模拟和壁函数的水动力通道水流模拟

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Turbulent wall-bounded flows are commonly encountered in engineering practice and are of considerable interests in a variety of industrial applications. This presence of wall significantly affects turbulence characteristics. If we want to solve the near-wall region a very fine mesh is necessary. The number of points needed increases at least like Re. This requirement makes the application of Large Eddy Simulation (LES) for high Reynolds (order of 10~6 -10~8) practically impossible. One solution is to apply near-wall modification, or wall models with a coarse mesh near the wall. When the grid is not fine enough to resolve near-wall structure, the near-wall must be modeled by specifying a correlation between the velocity in first node and shear stress at the wall. The objective of this study is to implement wall-function for LES simulation of channel flow. The sub-grid scales are modeled using Smagorinsky and Wale model. The first node is placed at y~+ ~ 49 for Re_τ = 4000 and 54 ≤ y~+ ≤ 200 for Re_τ = 16000. So the first node was located in log-law region and standard wall function was applied. Other modification was introduced in the calculation of the length-scale in the Smagorinsky model using the model proposed by Mason-Callen [7]. Another model introduced was the Werner - Wengler model [6].
机译:在工程实践中通常会遇到湍流壁面流动,并且在各种工业应用中都引起了极大的兴趣。壁的存在显着影响湍流特性。如果要求解近壁区域,则需要非常细的网格。所需的点数至少像Re一样增加。这个要求使得大涡模拟(LES)不能用于高雷诺数(10〜6 -10〜8的量级)几乎是不可能的。一种解决方案是应用近墙修改,或在墙附近使用具有粗糙网格的墙模型。当网格不够精细以解决近壁结构时,必须通过指定第一节点中的速度与壁处的剪应力之间的相关性来对近壁建模。这项研究的目的是实现用于LES模拟通道流的墙函数。子网格比例使用Smagorinsky和Wale模型建模。对于Re_τ= 4000,第一个节点位于y〜+〜49;对于Re_τ= 16000,第一个节点位于54≤y〜+≤200。因此,第一个节点位于对数律区域,并应用标准墙函数。使用Mason-Callen [7]提出的模型,在Smagorinsky模型的长度比例的计算中引入了其他修改。引入的另一个模型是Werner-Wengler模型[6]。

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