Výsledky vyhledávání - "Dyachenko, A. I."

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Free Surface in 2D Potential Flow: Singularities, Invariants and Virtual Fluid

Autor: Dyachenko, A. I., Dyachenko, S. A., Zakharov, V. E.

We study a 2D potential flow of an ideal fluid with a free surface with decaying conditions at infinity. By using the conformal variables approach, we study a particular solution of Euler equations having a pair of square-root branch points in the co

Externí odkaz: http://arxiv.org/abs/2109.13159

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Short branch cut approximation in $2$D Hydrodynamics with Free Surface

Autor: Dyachenko, A. I., Dyachenko, S. A., Lushnikov, P. M., Zakharov, V. E.

Publikováno v: Proc. Roy. Soc. A, v. 477, 20200811 (2021)

A potential motion of ideal incompressible fluid with a free surface and infinite depth is considered in two-dimensional geometry. A time-dependent conformal mapping of the lower complex half-plane of the auxiliary complex variable $w$ into the area

Externí odkaz: http://arxiv.org/abs/2003.05085

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Akademický článek

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Dynamics of Poles in 2D Hydrodynamics with Free Surface: New Constants of Motion

Autor: Dyachenko, A. I., Dyachenko, S. A., Lushnikov, P. M., Zakharov, V. E.

Publikováno v: Journal of Fluid Mechanics, v. 874, 891-925 (2019)

We address a problem of potential motion of ideal incompressible fluid with a free surface and infinite depth in two dimensional geometry with gravity forces and surface tension. A time-dependent conformal mapping z(w,t) of the lower complex half-pla

Externí odkaz: http://arxiv.org/abs/1809.09584

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Non-Canonical Hamiltonian Structure and Poisson Bracket for 2D Hydrodynamics with Free Surface

Autor: Dyachenko, A. I., Lushnikov, P. M., Zakharov, V. E.

Publikováno v: Journal of Fluid Mechanics, v. 869, pp. 526-552 (2019)

We consider Euler equations for potential flow of ideal incompressible fluid with a free surface and infinite depth in two dimensional geometry. Both gravity forces and surface tension are taken int account. A time-dependent conformal mapping is used

Externí odkaz: http://arxiv.org/abs/1809.00707

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