Showing papers by "Vladimir E. Zakharov published in 2002"
TL;DR: In this paper, a new method for numerical simulation of potential flows with a free surface of two-dimensional fluid, based on combination of the conformal mapping and Fourier Transform is proposed.
Abstract: New method for numerical simulation of potential flows with a free surface of two-dimensional fluid, based on combination of the conformal mapping and Fourier Transform is proposed. The method is efficient for study of strongly nonlinear effects in gravity waves including wave breaking and formation of rogue waves.
176 citations
TL;DR: The long-time evolution of deep-water ocean surface waves is studied in order to better understand the behavior of the nonlinear interaction processes that need to be accurately predicted in numerical models of wind-generated Ocean surface waves.
Abstract: We study the long-time evolution of deep-water ocean surface waves in order to better understand the behavior of the nonlinear interaction processes that need to be accurately predicted in numerical models of wind-generated ocean surface waves. Of particular interest are those nonlinear interactions which are predicted by weak turbulence theory to result in a wave energy spectrum of the form of jkj � 2:5 .W e numerically implement the primitive Euler equations for surface waves and demonstrate agreement between weak turbulence theory and the numerical results.
103 citations
TL;DR: In this paper, the continuous spectrum and soliton solutions for the Boussinesq equation are investigated using the ∂-dressing method, and a systematic study of the solitonic sector is presented.
67 citations