Application of transport equations for constructing exact solutions for the problem of motion of a fluid with a free boundary

Application of transport equations for constructing exact solutions for the problem of motion of a fluid with a free boundary Full article

Journal

Journal of Fluid Mechanics
ISSN: 0022-1120

Output data

Year: 2020, Volume: 890, Article number : A13, Pages count : DOI: 10.1017/jfm.2020.119

Tags

waves/free-surface flows

Authors

Karabut E.A. ^1,2 , Zhuravleva E.N. ^1,2 , Zubarev N.M. ^3,4

Affiliations

1	Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
2	Novosibirsk State University
3	P. N. Lebedev Physical Institute
4	Institute of Electrophysics, Ural Branch, Russian Academy of Sciences

A problem of an unsteady plane flow of an ideal incompressible fluid with a free boundary is considered. It is shown that the solution can be found by using a complex transport equation. In this case, the problem is linearized by means of the hodograph transform (the velocity components are chosen as independent variables). Examples of exact solutions are obtained. Various scenarios of formation of singularities on the free boundary within a finite time are considered.

Karabut E.A. , Zhuravleva E.N. , Zubarev N.M.
Application of transport equations for constructing exact solutions for the problem of motion of a fluid with a free boundary
Journal of Fluid Mechanics. 2020. V.890. A13 . DOI: 10.1017/jfm.2020.119 WOS Scopus РИНЦ OpenAlex

Web of science:	WOS:000524927700001
Scopus:	2-s2.0-85081537664
Elibrary:	43284077
OpenAlex:	W3011754207

DB	Citing
Scopus	8
OpenAlex	10
Elibrary	7
Web of science	7