2020/11/23 by Lin Chen, Biswajit Basu, Chen, Lin +3
Earth and Planetary Sciences · Physics and Astronomy · #35B10 #35B32 #35Q35 #Coastal and Marine Dynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Ocean Waves and Remote Sensing #Oceanographic and Atmospheric Processes #msc:35B10 #msc:35B32 #msc:35Q35 #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.2011.11775
23 pages, 22 figures
arxiv created 2020/11/23 · openalex publication_date 2020/11/23 · arxiv updated 2020/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.