dorsal/arxiv
View SchemaWeak Turbulent Kolmogorov Spectrum for Surface Gravity Waves
| Authors | A. I. Dyachenko, A. O. Korotkevich, V. E. Zakharov |
|---|---|
| Categories | |
| ArXiv ID | physics/0308099 |
| URL | https://arxiv.org/abs/physics/0308099 |
| DOI | 10.1103/PhysRevLett.92.134501 |
| Journal | Phys. Rev. Lett., vol. 92, issue 13, 134501 (2004) |
Abstract
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 primitive Euler equations for the potential flow of an ideal fluid with free surface written in canonical variables, using expansion of the Hamiltonian in powers of nonlinearity of up to fourth order terms. We show that due to nonlinear interaction processes a stationary energy spectrum close to $|k| \sim k^{-7/2}$ is formed. The observed spectrum can be interpreted as a weak-turbulent Kolmogorov spectrum for a direct cascade of energy.
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"abstract": "We study the long-time evolution of gravity waves on deep water exited by the\nstochastic external force concentrated in moderately small wave numbers. We\nnumerically implement the primitive Euler equations for the potential flow of\nan ideal fluid with free surface written in canonical variables, using\nexpansion of the Hamiltonian in powers of nonlinearity of up to fourth order\nterms.\n We show that due to nonlinear interaction processes a stationary energy\nspectrum close to $|k| \\sim k^{-7/2}$ is formed. The observed spectrum can be\ninterpreted as a weak-turbulent Kolmogorov spectrum for a direct cascade of\nenergy.",
"arxiv_id": "physics/0308099",
"authors": [
"A. I. Dyachenko",
"A. O. Korotkevich",
"V. E. Zakharov"
],
"categories": [
"physics.flu-dyn",
"nlin.PS",
"physics.ao-ph",
"physics.comp-ph"
],
"doi": "10.1103/PhysRevLett.92.134501",
"journal_ref": "Phys. Rev. Lett., vol. 92, issue 13, 134501 (2004)",
"title": "Weak Turbulent Kolmogorov Spectrum for Surface Gravity Waves",
"url": "https://arxiv.org/abs/physics/0308099"
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