Victor K. Andreev, “The 2D motion of perfect fluid with a free surface”, J. Sib. Fed. Univ. Math. Phys., 2015, Volume 8, Issue 1,Pages <nobr>3

The 2D motion of perfect fluid with a free surface

Victor K. Andreev^ab

^a Institute of Computational Modelling SB RAS, Akademgorodok, 50/44, Krasnoyarsk, 660036, Russia
^b Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia

Abstract: The 3D continuous subalgebra is used to searching new partially invariant solution of incompressible perfect fluid equations. It can be interpreted as a non-stationary motion of a plane layer with one free surface. The velocity field and pressure are determined in analytical form by using Lagrangian coordinates.

Keywords: perfect fluid, partially invariant solution, non-stationary motion, free surfaces.

UDC: 532.51

Received: 10.10.2014
Received in revised form: 10.11.2014
Accepted: 20.12.2014

Language: English