arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.08447physics.flu-dyn
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平板在槽道湍流中的响应:流固耦合分析

Response of a plate in turbulent channel flow: Analysis of fluid-solid coupling

Sreevatsa Anantharamu, Krishnan Mahesh

摘要:

本文模拟了摩擦雷诺数为180和400时槽道湍流激励下矩形板的运动。假设流固耦合是单向耦合的,即流体作用于固体,而不是固体作用于流体。我们在流体域中使用有限体积直接数值模拟来求解不可压缩的纳维-斯托克斯方程。在固体域中,我们使用时域有限元法求解动态线弹性方程。外标度下,得到的板平均位移谱在低频区发生了坍塌。然而,高频频谱水平不会在内部单位中崩溃。这种光谱行为是使用理论论证推理的。我们进一步研究的来源板激发使用一种新的配方。该公式将板的平均位移谱表示为通道内流体源的综合贡献。对净位移源的分析表明,在板的固有频率处,流体源对板激励的贡献在缓冲层中达到峰值。相应的壁法向宽度为$\approx 0.75δ$。我们使用净位移源的谱本征正交分解(POD)来分析源的去相关特征。我们在具有对称正定核的内积中加强了模的正交性。占主导地位的光谱POD模式有助于整个板激发。来自不同壁法线区域的剩余模式的贡献经历相消干涉,导致净贡献为零。主模的包络进一步表明,贡献的位置和宽度分别取决于内部和外部单元。

英文摘要:

The paper performs simulation of a rectangular plate excited by turbulent channel flow at friction Reynolds numbers of 180 and 400. The fluid-structure interaction is assumed to be one-way coupled, i.e, the fluid affects the solid and not vice versa. We solve the incompressible Navier Stokes equations using finite volume direct numerical simulation in the fluid domain. In the solid domain, we solve the dynamic linear elasticity equations using a time-domain finite element method. The obtained plate averaged displacement spectra collapse in the low frequency region in outer scaling. However, the high frequency spectral levels do not collapse in inner units. This spectral behavior is reasoned using theoretical arguments. We further study the sources of plate excitation using a novel formulation. This formulation expresses the average displacement spectra of the plate as an integrated contribution from the fluid sources within the channel. Analysis of the net displacement source reveals that at the plate natural frequencies, the contribution of the fluid sources to the plate excitation peaks in the buffer layer. The corresponding wall-normal width is found to be $\approx 0.75δ$. We analyze the decorrelated features of the sources using spectral Proper Orthogonal Decomposition (POD) of the net displacement source. We enforce the orthogonality of the modes in an inner product with a symmetric positive definite kernel. The dominant spectral POD mode contributes to the entire plate excitation. The contribution of the remaining modes from the different wall-normal regions undergo destructive interference resulting in zero net contribution. The envelope of the dominant mode further shows that the location and width of the contribution depend on inner and outer units, respectively.

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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