4 papers
Poles and branch cuts in free surface hydrodynamics
P. M. Lushnikov, V. E. Zakharov
We consider the motion of ideal incompressible fluid with free surface. We analyzed the exact fluid dynamics though the time-dependent conformal mapping of the lowe…
Dynamics of Poles in 2D Hydrodynamics with Free Surface: New Constants of Motion
A. I. Dyachenko, S. A. Dyachenko, P. M. Lushnikov +1
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…
Non-Canonical Hamiltonian Structure and Poisson Bracket for 2D Hydrodynamics with Free Surface
A. I. Dyachenko, P. M. Lushnikov, V. E. Zakharov
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 ten…
Evolution of One-Dimensional Wind-Driven Sea Spectra
A. I. Dyachenko, D. I. Kachulin, V. E. Zakharov
We analyze modern operational models of wind wave prediction on the subject for compliance dissipation. Our numerical simulations from the "first principle" demonstrate that heuris…