99 citations · 694 across the 30 of their papers we have counts for
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Inverse cascade of gravity waves in the presence of condensate: numerical simulation
Alexander O. Korotkevich
During the set of direct numerical simulations of the forced isotropic turbulence of surface gravity waves in the framework of primordial dynamical equations, the universal inverse…
Superharmonic Instability of Stokes Waves
Alexander O. Korotkevich, Pavel M. Lushnikov, Anastassiya A. Semenova +1
A stability of nearly limiting Stokes waves to superharmonic perturbations is considered numerically. The new, previously inaccessible branches of superharmonic instability were in…
Direct verification of the kinetic description of wave turbulence for finite-size systems dominated by interactions among groups of 6 waves
J. W. Banks, T. Buckmaster, A. O. Korotkevich +2
The present work considers systems whose dynamics are governed by the nonlinear interactions among groups of 6 nonlinear waves, such as those described by the unforced quintic nonl…
Branch cuts of Stokes wave on deep water. Part I: Numerical solution and Padé approximation
S. A. Dyachenko, P. M. Lushnikov, A. O. Korotkevich
Complex analytical structure of Stokes wave for two-dimensional potential flow of the ideal incompressible fluid with free surface and infinite depth is analyzed. Stokes wave is th…
The complex singularity of a Stokes wave
S. A. Dyachenko, P. M. Lushnikov, A. O. Korotkevich
Two-dimensional potential flow of the ideal incompressible fluid with free surface and infinite depth can be described by a conformal map of the fluid domain into the complex lower…
Simultaneous numerical simulation of direct and inverse cascades in wave turbulence
Alexander O. Korotkevich
Results of direct numerical simulation of isotropic turbulence of surface gravity waves in the framework of Hamiltonian equations are presented. For the first time simultaneous for…
Numerical Verification of the Weak Turbulent Model for Swell Evolution
A. O. Korotkevich, A. Pushkarev, D. Resio +1
The purpose of this article is numerical verification of the theory of weak turbulence. We performed numerical simulation of an ensemble of nonlinearly interacting free gravity wav…
Mesoscopic wave turbulence
V. E. Zakharov, A. O. Korotkevich, A. N. Pushkarev +1
We report results of sumulation of wave turbulence. Both inverse and direct cascades are observed. The definition of "mesoscopic turbulence" is given. This is a regime when the num…
Weak turbulence of gravity waves
A. I. Dyachenko, A. O. Korotkevich, V. E. Zakharov
For the first time weak turbulent theory was demonstrated for the surface gravity waves. Direct numerical simulation of the dynamical equations shows Kolmogorov turbulent spectra a…
Decay of the monochromatic capillary wave
A. I. Dyachenko, A. O. Korotkevich, V. E. Zakharov
It was demonstrated by direct numerical simulation that, in the case of weakly nonlinear capillary waves, one can get resonant waves interaction on the discrete grid when resonant…
Weak Turbulent Kolmogorov Spectrum for Surface Gravity Waves
A. I. Dyachenko, A. O. Korotkevich, V. E. Zakharov
We study the long-time evolution of gravity waves on deep water exited by the stochastic external force concentrated in moderately small wave numbers. We numerically implement the…