Research output: Contribution to journal › Conference article › peer-review
The problem about a symmetric convex body that is lifted from shallow water. / Kovyrkina, O. A.; Ostapenko, V. V.
In: Journal of Physics: Conference Series, Vol. 1268, No. 1, 012034, 16.07.2019.Research output: Contribution to journal › Conference article › peer-review
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TY - JOUR
T1 - The problem about a symmetric convex body that is lifted from shallow water
AU - Kovyrkina, O. A.
AU - Ostapenko, V. V.
PY - 2019/7/16
Y1 - 2019/7/16
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85073903338&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/1268/1/012034
DO - 10.1088/1742-6596/1268/1/012034
M3 - Conference article
AN - SCOPUS:85073903338
VL - 1268
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012034
T2 - All-Russian Conference and School for Young Scientists, devoted to 100th Anniversary of Academician L.V. Ovsiannikov on Mathematical Problems of Continuum Mechanics, MPCM 2019
Y2 - 13 May 2019 through 17 May 2019
ER -
ID: 22036717