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Vortex wave interaction theory to understand self sustaining processes in transitional flows

机译:涡流相互作用理论,用于理解过渡流中的自我维持过程

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摘要

In this work the self-sustaining processes are investigated within a Couette flow de-udveloping a method able to apply directly the stress jumps predicted by the vortexudwave interaction theory. The challenge of the approach is to implement a techniqueudable to directly implement the stress jumps and to implement a procedure able touddeform the mesh to the flow variations. The derivation of the vortex wave interactionudtheory is also discussed and the numerical formulations of the governing equationsudare discretized through a spectral/hp element method. The method turns out toudagree with the other approaches already utilised in literature and the results repro-udduce a constraint of the mathematically inviscid flow suggesting that the flow isudweakly dependent on the viscosity. The characteristics of the obtained flow are thenuddiscussed.udThese Navier-Stokes solutions are then perturbed by a sinusoidal wall forcing toudstudy the robustness of the self-sustained mechanism by varying the amplitude ofudthe forcing. The results show the possibility to control the behaviour of the flow andudthe effectiveness of the considered forcing to induce a drag reduction. Overcominguda certain amplitude threshold, a breakdown of the flow occurs in which the vortexudcore splits into multiple cores. Also after the breakdown the vortex wave interactionudtheory has been able to generate a self-sustained multiple core flow.
机译:在这项工作中,在Couette流中研究了自我维持过程,从而发展出一种方法,该方法能够直接应用涡旋/ udwave相互作用理论预测的应力跳跃。该方法面临的挑战是实现可直接实现应力跃变的技术,并实现能够使网格变形以适应流量变化的过程。还讨论了涡旋波相互作用的推论理论,并通过频谱/ hp元素法离散了控制方程的数值公式。结果证明该方法与文献中已经使用的其他方法一致,并且结果再现了数学上不粘稠的流动的约束,表明该流动非常不依赖于粘度。然后,讨论获得的流的特征。然后,这些正弦波壁会干扰这些Navier-Stokes解,从而通过改变强迫幅度来研究自持机构的鲁棒性。结果显示了控制流的行为的可能性和考虑的强迫诱导减阻作用的有效性。超过一定幅度阈值,会发生流动中断,其中涡旋 udcore分裂成多个核心。同样,在破裂之后,涡旋波相互作用理论已经能够产生自持的多核流。

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    Isoni Andrea;

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  • 年度 2014
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