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26 April 2024

» arxiv » physics/0509170

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Resolving Small-scale Structures in Two-dimensional Boussinesq Convection by Spectral Methods with High Resolutions
Z.Yin ; Tao Tang ;
Date:	21 Sep 2005
Subject:	Fluid Dynamics; Computational Physics \| physics.flu-dyn physics.comp-ph
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 \| abla heta\|_{max} ~ {(T_c - t)}^{-3.58}.
Source:	arXiv, physics/0509170
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