Hydrodynamics with quadratic pressure. 2. Examples
A. P. Chupakhin
Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090
Pages: 190-195
Abstract
Exact solutions of Euler equations that
describe the motion of an ideal
incompressible fluid with quadratic
pressure are studied. The solutions are
described by explicit formulas and can
be physically interpreted. The dynamics
of a spherical fluid volume is studied
for specified initial velocity fields.
It is shown that under certain initial
conditions, the spherical volume can
evolve into a torus-shaped body, thereby
changing the connectivity of the region
occupied by the fluid.
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