One dimensional models for supercritical and subcritical transitions in rotating convection
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916183886790656 |
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| author | Mandal, Sutapa Sarkar, Snehashish Pal, Pinaki |
| author_facet | Mandal, Sutapa Sarkar, Snehashish Pal, Pinaki |
| contents | Numerous study on natural and man made systems including rotating convection report the phenomena of supercritical and subcritical transitions from one state to another with the variation of relevant control parameters. However, the complexity of the rotating convection system even under the idealized Rayleigh-Bénard geometry, hindered the simplest possible description of these transitions to convection. Here we present an one dimensional description of the stationary subcritical and supercritical transitions to rotating Rayleigh-Bénard convection both for rigid and free-slip boundary conditions. The analysis of the one dimensional models and performance of three dimensional direct numerical simulations of the system show qualitatively similar results in a wide region of the parameter space. A brief discussion on time dependent convection of overstable origin is also presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19953 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | One dimensional models for supercritical and subcritical transitions in rotating convection Mandal, Sutapa Sarkar, Snehashish Pal, Pinaki Fluid Dynamics Adaptation and Self-Organizing Systems Pattern Formation and Solitons Numerous study on natural and man made systems including rotating convection report the phenomena of supercritical and subcritical transitions from one state to another with the variation of relevant control parameters. However, the complexity of the rotating convection system even under the idealized Rayleigh-Bénard geometry, hindered the simplest possible description of these transitions to convection. Here we present an one dimensional description of the stationary subcritical and supercritical transitions to rotating Rayleigh-Bénard convection both for rigid and free-slip boundary conditions. The analysis of the one dimensional models and performance of three dimensional direct numerical simulations of the system show qualitatively similar results in a wide region of the parameter space. A brief discussion on time dependent convection of overstable origin is also presented. |
| title | One dimensional models for supercritical and subcritical transitions in rotating convection |
| topic | Fluid Dynamics Adaptation and Self-Organizing Systems Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2403.19953 |