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A numerical model for sand bar stability

机译:沙洲稳定性的数值模型

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摘要

We investigate the flow field and bed topography in a cohesionless channel through a fully nonlinear three dimensional numerical model. The channel is long enough to allow neglect of the effect of end conditions on the process of bar formation. The channel bottom consists of uniform sediments. The development of free bars is investigated under suspended load dominated conditions. In agreement with the results of previous linear analyses (Tubino et al., 1999; Seminara & Tubino, 2001) bar development displays several distinctive features with respect to the case of gravel bed rivers. In particular, bars with longer wavelength are selected; furthermore, different transverse modes exhibit almost similar growth rates. The numerical model also suggests that when suspended load is dominant bar topography may reach an equilibrium state only for values of the width to depth ratio relatively close to the critical value for bar formation. As the above ratio increases, nonlinear effects, which are stronger when suspended load is dominant, lead to local emergence of bar structures.
机译:我们通过完全非线性的三维数值模型研究了无粘性通道中的流场和床形貌。通道足够长,可以忽略端部条件对棒材成形过程的影响。通道底部由均匀的沉积物组成。在悬浮载荷为主的条件下研究了自由钢筋的发展。与先前的线性分析结果(Tubino等,1999; Seminara&Tubino,2001)一致,就砾石河床而言,钢筋的发展表现出一些独特的特征。特别是,选择具有更长波长的条形。此外,不同的横向模式表现出几乎相似的增长率。数值模型还表明,当悬吊载荷为主导时,仅当宽度与深度之比的值相对接近于钢筋形成的临界值时,钢筋的地形才会达到平衡状态。随着上述比率的增加,当悬浮载荷占主导时,非线性效应会更强,从而导致钢筋结构局部出现。

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