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

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 wat...

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Published in:Journal of physics. Conference series 2019-07, Vol.1268 (1), p.12034
Main Authors: Kovyrkina, O A, Ostapenko, V V
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Language:English
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Mathematical analysis
Physics
Shallow water equations
Surface tension
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description 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.
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subjects Domains
Mathematical analysis
Physics
Shallow water equations
Surface tension
title The problem about a symmetric convex body that is lifted from shallow water
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