论文标题
在稳定的水波下停滞的旋转流动与不连续的涡度旋转
On rotational flows with discontinuous vorticity beneath steady water waves near stagnation
论文作者
论文摘要
我们从数值上研究了固定的相对质量通量的周期性稳态水波以零散的恒定涡度在旋转流程上传播。我们表明，对于沿全局分叉图的波解，停滞点可以首先发生或底部发生，然后再次发生在波峰上，波高进一步增加。我们观察到分叉图具有一个新的分支，该分支未连接到微不足道的解决方案。此外，我们对在停滞附近的大幅度稳定波下的压力分布和粒子轨迹的结果进行了深入的讨论。我们还扩展了先前的结果，即稳定水波在旋转流动以不连续的涡度上传播的幅度和质量通量。
We numerically investigate the flow structure of periodic steady water waves of fixed relative mass flux propagating on rotational flows with piece-wise constant vorticity. We show that for wave solutions along the global bifurcation diagram the stagnation point can first occur internally or at the bottom, and then again occurs at the crest with further increase in wave height. We observe that the bifurcation diagram has a new branch which is not connected to the trivial solution. Furthermore, we present an in-depth discussion of the results on pressure distributions and particle trajectories beneath large-amplitude steady waves near stagnation. We also expand on previous results concerning the amplitude and mass flux of steady water waves traveling on rotational flows with discontinuous vorticity.
