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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In the linear time domain computation of a floating body advancing at adynamic speed, the source formulation for the velocity potential of thehydrodynamic problem is commonly used so that the velocity potential isexpressed as the integral of time domain free surface sources distributed onthe two-dimensional wetted body surface and the one-dimensional waterline,which is the intersection of the wetted body surface and the mean free watersurface. A time domain free surface source is corresponding to the time domainfree surface Green function associated with a suitable source strength, whichis to be solved from body boundary condition and normal velocity boundaryintegral equation of the source formulation.  The normal velocity boundary integral equation contains an integral of thenormal derivative of the time domain free surface Green function on thewaterline. It is shown that the waterline integral is ill-posed. Thus thesource strength of velocity potential is not obtainable.

Ill-posedness of waterline integral of time domain free surface Green function for surface piercing body advancing at dynamic speed