The problem about a symmetric convex body that is lifted from shallow water

O. A. Kovyrkina, V. V. Ostapenko

Результат исследования: Научные публикации в периодических изданияхстатья по материалам конференции

Аннотация

We studied wave currents arising from a vertical lifting of a symmetric convex body, partially submerged in shallow water, filling a rectangular prismatic channel with a horizontal bottom. The simulation of such flows was carried out within the framework of the first approximation of the shallow water theory without taking into account the influence of the friction, the viscosity of the liquid and its surface tension. The flow of liquid in the domain adjacent to the lower surface of the body was obtained analytically, and outside this domain by numerically solving shallow water equations. We obtained the equations that determine the motion of the boundary of the contact area of the liquid with the lower surface of the body. We showed that the form of these equations is depend of the pressure spatial derivative sign at this boundary. Numerical calculations are presented that demonstrate the rise of the liquid after the body exiting the liquid.

Язык оригиналаанглийский
Номер статьи012034
Число страниц7
ЖурналJournal of Physics: Conference Series
Том1268
Номер выпуска1
DOI
СостояниеОпубликовано - 16 июл 2019
СобытиеAll-Russian Conference and School for Young Scientists, devoted to 100th Anniversary of Academician L.V. Ovsiannikov on Mathematical Problems of Continuum Mechanics, MPCM 2019 - Novosibirsk, Российская Федерация
Продолжительность: 13 мая 201917 мая 2019

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