English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study the limiting behavior of large-amplitude standing waves on deepwater using high-resolution numerical simulations in double and quadrupleprecision. While periodic traveling waves approach Stokes's sharply crestedextreme wave in an asymptotically self-similar manner, we find that standingwaves behave differently. Instead of sharpening to a corner or cusp aspreviously conjectured, the crest tip develops a variety of oscillatorystructures. This causes the bifurcation curve that parametrizes these waves tofragment into disjoint branches corresponding to the different oscillationpatterns that occur. In many cases, a vertical jet of fluid pushes thesestructures upward, leading to wave profiles commonly seen in wave tankexperiments. Thus, we observe a rich array of dynamic behavior at small lengthscales in a regime previously thought to be self-similar.

Breakdown of self-similarity at the crests of large amplitude standing water waves