dorsal/arxiv
View SchemaResolving Small-scale Structures in Two-dimensional Boussinesq Convection by Spectral Methods with High Resolutions
| Authors | Z. Yin, Tao Tang |
|---|---|
| Categories | |
| ArXiv ID | physics/0509170 |
| URL | https://arxiv.org/abs/physics/0509170 |
Abstract
Two-dimensional Boussinesq convection is studied numerically with very fine spatial resolutions up to 4096^2. Our numerical study starts with a smooth asymmetric initial condition, which is chosen to make the flow field well confined in the computational domain until the blow-up time (T_c). Our study shows that the vorticity will blow up at a finite time with |\omega|_{max} \~{(T_c-t)}^{-1.61} and |\nabla \theta|_{max} ~ {(T_c - t)}^{-3.58}.
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"date_created": "2026-03-02T18:01:00.802000Z",
"date_modified": "2026-03-02T18:01:00.802000Z",
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"record": {
"abstract": "Two-dimensional Boussinesq convection is studied numerically with very fine\nspatial resolutions up to 4096^2. Our numerical study starts with a smooth\nasymmetric initial condition, which is chosen to make the flow field well\nconfined in the computational domain until the blow-up time (T_c). Our study\nshows that the vorticity will blow up at a finite time with |\\omega|_{max}\n\\~{(T_c-t)}^{-1.61} and |\\nabla \\theta|_{max} ~ {(T_c - t)}^{-3.58}.",
"arxiv_id": "physics/0509170",
"authors": [
"Z. Yin",
"Tao Tang"
],
"categories": [
"physics.flu-dyn",
"physics.comp-ph"
],
"title": "Resolving Small-scale Structures in Two-dimensional Boussinesq Convection by Spectral Methods with High Resolutions",
"url": "https://arxiv.org/abs/physics/0509170"
},
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"execution_id": "efee0038-c04c-41f8-91a9-7e56cc38f945",
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"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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