Research output: Contribution to journal › Article › peer-review
The problem of lifting a symmetric convex body from shallow water. / Kovyrkina, O. A.; Ostapenko, V. V.
In: European Journal of Mechanics, B/Fluids, Vol. 79, 01.01.2020, p. 297-314.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - The problem of lifting a symmetric convex body from shallow water
AU - Kovyrkina, O. A.
AU - Ostapenko, V. V.
PY - 2020/1/1
Y1 - 2020/1/1
N2 - A problem of a plane-parallel flow induced by vertical lifting of a symmetric convex body partly immersed in water filling a rectangular prismatic channel with a horizontal bottom is solved within the framework of the shallow water theory. The body width coincides with the channel width, its flat side surfaces are perpendicular to the channel bottom, and its lower downward-convex surface has sufficiently small curvature and is completely immersed in water at the initial time. The liquid flow is obtained analytically in the region adjacent to the lower surface of the body and by means of the numerical solution of shallow water equations by the second-order CABARET (compact accurately boundary-adjusting high-resolution technique) scheme outside this region. Equations that define the motion of the boundary line between the liquid and the lower surface of the body are derived. It is shown that the form of these equations is determined by the sign of the spatial derivative of pressure on this boundary line. Numerical results demonstrating liquid lifting behind the body leaving the water medium are presented.
AB - A problem of a plane-parallel flow induced by vertical lifting of a symmetric convex body partly immersed in water filling a rectangular prismatic channel with a horizontal bottom is solved within the framework of the shallow water theory. The body width coincides with the channel width, its flat side surfaces are perpendicular to the channel bottom, and its lower downward-convex surface has sufficiently small curvature and is completely immersed in water at the initial time. The liquid flow is obtained analytically in the region adjacent to the lower surface of the body and by means of the numerical solution of shallow water equations by the second-order CABARET (compact accurately boundary-adjusting high-resolution technique) scheme outside this region. Equations that define the motion of the boundary line between the liquid and the lower surface of the body are derived. It is shown that the form of these equations is determined by the sign of the spatial derivative of pressure on this boundary line. Numerical results demonstrating liquid lifting behind the body leaving the water medium are presented.
KW - Gravity currents
KW - Shallow water flows
KW - Water exit
KW - RECTANGULAR BEAM
KW - EQUATIONS
KW - EXIT
UR - http://www.scopus.com/inward/record.url?scp=85072873261&partnerID=8YFLogxK
U2 - 10.1016/j.euromechflu.2019.09.020
DO - 10.1016/j.euromechflu.2019.09.020
M3 - Article
AN - SCOPUS:85072873261
VL - 79
SP - 297
EP - 314
JO - European Journal of Mechanics, B/Fluids
JF - European Journal of Mechanics, B/Fluids
SN - 0997-7546
ER -
ID: 21805058