Numerical study on fast spectral evolution due to double resonance and applicability of generalized kinetic equation
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915715645177856 |
|---|---|
| author | Tanaka, Mitsuhiro |
| author_facet | Tanaka, Mitsuhiro |
| contents | It is known that for a two-layer fluid system, the kinetic equation governing the evolution of the spectrum of the wave field given by the standard wave turbulence theory (WTT) breaks down due to the existence of a "double resonance", and the spectrum can evolve on a time scale much faster than that predicted by the standard WTT. In this study, using a simplified model for a two-layer fluid system, the applicability of the generalized kinetic equation (GKE) for such a situation is examined numerically. It is shown that the GKE can reproduce the appearance of a sharp peak in the surface wave spectrum due to double resonance, but it overestimates the growth of the peak, consequently failing to quantitatively describe the temporal evolution of the spectrum correctly, particularly near the double resonance point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_04527 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Numerical study on fast spectral evolution due to double resonance and applicability of generalized kinetic equation Tanaka, Mitsuhiro Fluid Dynamics It is known that for a two-layer fluid system, the kinetic equation governing the evolution of the spectrum of the wave field given by the standard wave turbulence theory (WTT) breaks down due to the existence of a "double resonance", and the spectrum can evolve on a time scale much faster than that predicted by the standard WTT. In this study, using a simplified model for a two-layer fluid system, the applicability of the generalized kinetic equation (GKE) for such a situation is examined numerically. It is shown that the GKE can reproduce the appearance of a sharp peak in the surface wave spectrum due to double resonance, but it overestimates the growth of the peak, consequently failing to quantitatively describe the temporal evolution of the spectrum correctly, particularly near the double resonance point. |
| title | Numerical study on fast spectral evolution due to double resonance and applicability of generalized kinetic equation |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2601.04527 |