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Meandering jets in shallow rectangular reservoirs: POD analysis and identification of coherent structures

机译:矩形浅水库弯流射流:POD分析与相干结构识别

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摘要

The effect of the shallowness on meandering jets in a shallow rectangular reservoir isinvestigated. Four meandering flows were investigated in an experimental shallowrectangular reservoir. Their boundary conditions were chosen to cover a large range offriction numbers (defined with the sudden expansion width). Due to the unsteadycharacteristics of the flows, a Proper Orthogonal Decomposition of the fluctu-ating partof the surface velocity fields measured using LSPIV was used for discriminating theflow struc-tures responsible for the meandering of the jet. Less than 1 % of thecalculated POD modes significantly contribute to the meandering of the jet and twotypes of instability are in competition in such a flow con-figuration. The sinuous mode isthe dominant mode in the flow and it induces the meandering of the flow, while thevaricose mode is a source of local mixing and weakly participates to the flow. Thefluctuating velocity fields were then reconstructed using the POD modes correspondingto 80% of the total mean fluctuating kinetic energy and the coherent structures wereidentified using the residual vorticity, their centres being localised using a topologyalgorithm. The trajectories of the structures centres emphasize that at high frictionnumber the coherent structures are small and laterally paired in the near, middle andfar fields of the jet, while with decreasing friction number the structures merge intolarge horizontal vortices in the far-field of the jet, their trajectories showing morevariability in space and time. The analysis of the stability regime finally reveals that thesinuous mode is convectively unstable and may become absolutely unstable at the endof the reservoir when the friction number is small.
机译:研究了浅度对浅矩形储层中曲流射流的影响。在一个实验性的浅矩形水库中研究了四次曲流。选择它们的边界条件以覆盖较大范围的摩擦数(由突然的扩展宽度定义)。由于流动的不稳定特性,使用LSPIV测量的表面速度场的波动部分的适当正交分解用于区分造成射流弯曲的流动结构。少于1%的计算出的POD模式会明显影响射流的曲折,在这种流量配置中,两种类型的不稳定性在竞争中。弯曲模式是流中的主导模式,它会引起流曲,而曲张模式是局部混合的源头,并且很少参与流。然后,使用对应于总平均波动动能的80%的POD模式重建波动速度场,并使用剩余涡度识别相干结构,并使用拓扑算法确定其中心。结构中心的轨迹强调,在高摩擦数下,相干结构在射流的近场,中场和远场较小且横向配对,而随着摩擦数的减小,结构在射流的远场合并成较大的水平涡流,它们的轨迹显示出时空变化更大。对稳定状态的分析最终表明,当摩擦数较小时,弯曲模式对流不稳定,并且在储层末端可能变得绝对不稳定。

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