Beyond secondary instability: on the emergence of finite-amplitude waves in Görtler vortices
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914529863008256 |
|---|---|
| author | Song, Runjie Deguchi, Kengo |
| author_facet | Song, Runjie Deguchi, Kengo |
| contents | Görtler vortices developing over a concave wall support rapidly oscillating wavelike disturbances through secondary instabilities. Although experiments indicate that the finite-amplitude evolution of these waves acts as a precursor to turbulence transition, accurate and efficient prediction has remained out of reach. We overcome this limitation by using the Parabolised Coherent Structures (PCS) method of Song & Deguchi (2025), which incorporates the nonlinear vortex-wave interaction into a standard spatial-marching approach. Our computations successfully reproduce the wave amplitude and displacement thickness observed in the widely known experiments of Swearingen & Blackwelder (1987). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_18017 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Beyond secondary instability: on the emergence of finite-amplitude waves in Görtler vortices Song, Runjie Deguchi, Kengo Fluid Dynamics Görtler vortices developing over a concave wall support rapidly oscillating wavelike disturbances through secondary instabilities. Although experiments indicate that the finite-amplitude evolution of these waves acts as a precursor to turbulence transition, accurate and efficient prediction has remained out of reach. We overcome this limitation by using the Parabolised Coherent Structures (PCS) method of Song & Deguchi (2025), which incorporates the nonlinear vortex-wave interaction into a standard spatial-marching approach. Our computations successfully reproduce the wave amplitude and displacement thickness observed in the widely known experiments of Swearingen & Blackwelder (1987). |
| title | Beyond secondary instability: on the emergence of finite-amplitude waves in Görtler vortices |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2601.18017 |