利用实验室实验和三维数值模拟研究Internal wave吸引子
Internal wave attractors examined using laboratory experiments and 3D numerical simulations
摘要：
在本文中，我们结合数值和实验方法来研究稳定和不稳定的内波吸引子的动力学。这个问题被认为是在一个经典的梯形设置充满了均匀分层的流体。能量注入系统在全球范围内的小幅运动的垂直墙。在试验水池中的波动测量与传统的合成纹影和PIV技术的帮助下。的数值设置密切再现实验的几何形状和操作范围的雷诺数和施密特数。本文采用谱元方法模拟了粘性盐成层流体的非线性动力学。我们表明，三维计算的结果是在良好的定性和定量的协议与实验数据，包括空间和时间参数的三阶共振不稳定性产生的二次波。此外，我们还通过实验和数值模拟的方法研究了侧壁对二次流和波束中速度幅值展向分布的影响。最后，我们测试的二维流动的假设，并估计在合成纹影测量由于这一假设的误差。
英文摘要：
In the present paper, we combine numerical and experimental approaches to study the dynamics of stable and unstable internal wave attractors. The problem is considered in a classic trapezoidal setup filled with a uniformly stratified fluid. Energy is injected into the system at global scale by the small-amplitude motion of a vertical wall. Wave motion in the test tank is measured with the help of conventional synthetic schlieren and PIV techniques. The numerical setup closely reproduces the experimental one in terms of geometry and the operational range of the Reynolds and Schmidt numbers. The spectral element method is used as a numerical tool to simulate the nonlinear dynamics of a viscous salt-stratified fluid. We show that the results of three-dimensional calculations are in excellent qualitative and quantitative agreement with the experimental data, including the spatial and temporal parameters of the secondary waves produced by triadic resonance instability. Further, we explore experimentally and numerically the effect of lateral walls on secondary currents and spanwise distribution of velocity amplitudes in the wave beams. Finally, we test the assumption of a bidimensional flow and estimate the error made in synthetic schlieren measurements due to this assumption.
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。
