With decreasing Reynolds number, $Re$ , turbulence in channel flow becomes spatio-temporally intermittent and self-organises into solitary stripes oblique to the mean flow direction. We report here the existence of localised nonlinear travelling wave solutions of the Navier–Stokes equations possessing this obliqueness property. Such solutions are identified numerically using edge tracking coupled with arclength continuation. All solutions emerge in saddle-node bifurcations at values of $Re$ lower than the non-localised solutions. Relative periodic orbit solutions bifurcating from branches of travelling waves have also been computed. A complete parametric study is performed, including their stability, the investigation of their large-scale flow, and the robustness to changes of the numerical domain.

中文翻译：

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通道流的斜条纹解

随着雷诺数 $Re$ 的减小，通道流中的湍流在时空上变得间歇性并自组织成与平均流动方向倾斜的孤立条纹。我们在这里报告了具有这种倾斜特性的 Navier-Stokes 方程的局部非线性行波解的存在。使用边缘跟踪与弧长延续相结合以数值方式识别此类解决方案。所有解决方案都以低于非局部解决方案的 $Re$ 值出现在鞍节点分岔中。还计算了从行波分支分叉的相对周期轨道解。进行了完整的参数研究，包括它们的稳定性、大规模流动的研究以及对数值域变化的鲁棒性。