Resolving Small-scale Structures in Two-dimensional Boussinesq Convection by Spectral Methods with High Resolutions

Details Resolving Small-scale Structures in Two-dimensional Boussinesq Convection by Spectral Methods with High Resolutions Resolving Small-scale Structures in Two-dimensional Boussinesq Convection by Spectral Methods with High Resolutions

2005-09-21

arxiv.org/abs/physics/0509170v1

Physics

Fluid Dynamics

4 pages, 5 figures

Scientific paper

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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