Anisotropy of ocean surface wave turbulence
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913418900930560 |
|---|---|
| author | Balk, Alexander M |
| author_facet | Balk, Alexander M |
| contents | The paper continues to study the long-standing problem of quasi 1-D (one dimensional) spectrum of sea surface wave turbulence. The study is based on Hasselmann's kinetic equation, which significantly simplifies for the quasi 1-D turbulence. The goal of the paper is to compare the theoretical predictions with experimental observations. The paper starts with new derivation of the quasi 1-D approximation of Hasselmann's equation. The present work does not support the imposition of boundary conditions. Instead, the family of theoretical spectra is compared with P-M (Pierson-Moskowitz) and JONSWAP (Joint North Sea Wave Project) spectra. First, a simple solution (first approximation) of the quasi 1-D equation is obtained and compared with the P-M spectrum. Then self-similar solutions are considered; they are shown to satisfy the second order ordinary differential equation. The solutions of this equation have many features of the JONSWAP spectra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_04725 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anisotropy of ocean surface wave turbulence Balk, Alexander M Atmospheric and Oceanic Physics Soft Condensed Matter Mathematical Physics Fluid Dynamics The paper continues to study the long-standing problem of quasi 1-D (one dimensional) spectrum of sea surface wave turbulence. The study is based on Hasselmann's kinetic equation, which significantly simplifies for the quasi 1-D turbulence. The goal of the paper is to compare the theoretical predictions with experimental observations. The paper starts with new derivation of the quasi 1-D approximation of Hasselmann's equation. The present work does not support the imposition of boundary conditions. Instead, the family of theoretical spectra is compared with P-M (Pierson-Moskowitz) and JONSWAP (Joint North Sea Wave Project) spectra. First, a simple solution (first approximation) of the quasi 1-D equation is obtained and compared with the P-M spectrum. Then self-similar solutions are considered; they are shown to satisfy the second order ordinary differential equation. The solutions of this equation have many features of the JONSWAP spectra. |
| title | Anisotropy of ocean surface wave turbulence |
| topic | Atmospheric and Oceanic Physics Soft Condensed Matter Mathematical Physics Fluid Dynamics |
| url | https://arxiv.org/abs/2407.04725 |