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

Both 1DH (dispersive and non-dispersive) and 2DH axisymmetric (approximate,non-dispersive) analytical solutions are derived for water waves generated bymoving atmospheric pressures. In 1DH, three wave components can be identified:the locked wave propagating with the speed of the atmospheric pressure, $C_p$,and two free wave components propagating in opposite directions with therespective wave celerity, according to the linear frequency dispersionrelationship. Under the supercritical condition ($C_p > C$, which is thefastest celerity of the water wave) the leading water wave is the locked waveand has the same sign (i.e., phase) as the atmospheric pressure, while thetrailing free wave has the opposite sign. Under the subcritical condition ($C>C_p$) the fastest moving free wave component leads and its free surfaceelevation has the same sign as the atmospheric pressure. For a long atmosphericpressure disturbance, the induced free surface profile mimics that of theatmospheric pressure. The 2DH problem involves an axisymmetric atmosphericpressure decaying in the radial direction as $O(r^{-1/2})$. Only two wavecomponents, locked and free, appear due to symmetry.  The tsunami DART data captured during Tonga's volcanic eruption event isanalyzed. Corrections are necessary to isolate the free surface elevation data.Comparisons between the corrected DART data and the analytical solutions,including the arrival times of the leading locked waves and the trailing freewaves, and the amplitude ratios, are in agreement in order-of-magnitude. Thedifferences between them highlight the complexity of problems.

Water waves generated by moving atmospheric pressure: Theoretical analyses with applications to the 2022 Tonga event