### Abstract

The work aims to check one of the assumptions under which the kinetic equation for water waves was derived in order to understand whether it can be applied to the situations described by the Phillips spectrum. We evaluate a spectral line width of the spectrum from the simulations in the framework of primordial dynamical equations at different levels of nonlinearity in the system, corresponding to the weakly turbulent Kolmogorov-Zakharov spectra ω<sup>-4</sup>, Phillips spectra ω<sup>-5</sup>, and intermediate cases. The original motivation of the work was to check one of the assumptions under which the kinetic equation for water waves was derived in order to understand whether it can be applied to the Phillips spectrum. It is shown that, even in the case of relatively high average steepness, when the Phillips spectrum is present in the system, the spectral lines are still very narrow, at least in the region of the direct cascade spectrum. It allows us to state that, even in the case of the Phillips spectrum, one of the assumptions used for the derivation of the Hasselmann kinetic equation is still valid, at least in the case of moderate whitecapping.

Original language | English (US) |
---|---|

Pages (from-to) | 325-335 |

Number of pages | 11 |

Journal | Nonlinear Processes in Geophysics |

Volume | 22 |

Issue number | 3 |

DOIs | |

State | Published - May 28 2015 |

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### ASJC Scopus subject areas

- Geochemistry and Petrology
- Geophysics
- Statistical and Nonlinear Physics

### Cite this

*Nonlinear Processes in Geophysics*,

*22*(3), 325-335. https://doi.org/10.5194/npg-22-325-2015

**Evaluation of a spectral line width for the Phillips spectrum by means of numerical simulation.** / Korotkevich, A. O.; Zakharov, Vladimir E.

Research output: Contribution to journal › Article

*Nonlinear Processes in Geophysics*, vol. 22, no. 3, pp. 325-335. https://doi.org/10.5194/npg-22-325-2015

}

TY - JOUR

T1 - Evaluation of a spectral line width for the Phillips spectrum by means of numerical simulation

AU - Korotkevich, A. O.

AU - Zakharov, Vladimir E

PY - 2015/5/28

Y1 - 2015/5/28

N2 - The work aims to check one of the assumptions under which the kinetic equation for water waves was derived in order to understand whether it can be applied to the situations described by the Phillips spectrum. We evaluate a spectral line width of the spectrum from the simulations in the framework of primordial dynamical equations at different levels of nonlinearity in the system, corresponding to the weakly turbulent Kolmogorov-Zakharov spectra ω-4, Phillips spectra ω-5, and intermediate cases. The original motivation of the work was to check one of the assumptions under which the kinetic equation for water waves was derived in order to understand whether it can be applied to the Phillips spectrum. It is shown that, even in the case of relatively high average steepness, when the Phillips spectrum is present in the system, the spectral lines are still very narrow, at least in the region of the direct cascade spectrum. It allows us to state that, even in the case of the Phillips spectrum, one of the assumptions used for the derivation of the Hasselmann kinetic equation is still valid, at least in the case of moderate whitecapping.

AB - The work aims to check one of the assumptions under which the kinetic equation for water waves was derived in order to understand whether it can be applied to the situations described by the Phillips spectrum. We evaluate a spectral line width of the spectrum from the simulations in the framework of primordial dynamical equations at different levels of nonlinearity in the system, corresponding to the weakly turbulent Kolmogorov-Zakharov spectra ω-4, Phillips spectra ω-5, and intermediate cases. The original motivation of the work was to check one of the assumptions under which the kinetic equation for water waves was derived in order to understand whether it can be applied to the Phillips spectrum. It is shown that, even in the case of relatively high average steepness, when the Phillips spectrum is present in the system, the spectral lines are still very narrow, at least in the region of the direct cascade spectrum. It allows us to state that, even in the case of the Phillips spectrum, one of the assumptions used for the derivation of the Hasselmann kinetic equation is still valid, at least in the case of moderate whitecapping.

UR - http://www.scopus.com/inward/record.url?scp=84930672168&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84930672168&partnerID=8YFLogxK

U2 - 10.5194/npg-22-325-2015

DO - 10.5194/npg-22-325-2015

M3 - Article

AN - SCOPUS:84930672168

VL - 22

SP - 325

EP - 335

JO - Nonlinear Processes in Geophysics

JF - Nonlinear Processes in Geophysics

SN - 1023-5809

IS - 3

ER -