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Bibliographic Details
Main Author: Kochurin, Evgeny
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2403.12592
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author Kochurin, Evgeny
author_facet Kochurin, Evgeny
contents The dynamic conformal transformation method has been generalized for the first time to numerically simulate the capillary wave turbulence of a liquid surface in the plane symmetric anisotropic geometry. The model is strongly nonlinear and involves effects of surface tension, as well as energy dissipation and pumping. Simulation results have shown that the system of nonlinear capillary waves can pass to the quasistationary chaotic motion regime (wave turbulence). The calculated exponents of spectra do not coincide with those for the classical Zakharov-Filonenko spectrum for isotropic capillary turbulence but are in good agreement with the estimate obtained under the assumption of the dominant effect of five-wave resonant interactions.
format Preprint
id arxiv_https___arxiv_org_abs_2403_12592
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Simulation of the Wave Turbulence of a Liquid Surface Using the Dynamic Conformal Transformation Method
Kochurin, Evgeny
Fluid Dynamics
The dynamic conformal transformation method has been generalized for the first time to numerically simulate the capillary wave turbulence of a liquid surface in the plane symmetric anisotropic geometry. The model is strongly nonlinear and involves effects of surface tension, as well as energy dissipation and pumping. Simulation results have shown that the system of nonlinear capillary waves can pass to the quasistationary chaotic motion regime (wave turbulence). The calculated exponents of spectra do not coincide with those for the classical Zakharov-Filonenko spectrum for isotropic capillary turbulence but are in good agreement with the estimate obtained under the assumption of the dominant effect of five-wave resonant interactions.
title Simulation of the Wave Turbulence of a Liquid Surface Using the Dynamic Conformal Transformation Method
topic Fluid Dynamics
url https://arxiv.org/abs/2403.12592