2005/09/21 by Zhaohua Yin, Z. Yin, Tao Tang +2
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #physics.comp-ph #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.physics/0509170
4 pages, 5 figures
arxiv created 2005/09/21 · openalex publication_date 2005/09/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Two-dimensional Boussinesq convection is studied numerically with very fine spatial resolutions up to 40962. 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 (Tc). Our study shows that the vorticity will blow up at a finite time with |ω|max \~(Tc-t)-1.61 and |∇ θ|max ~ (Tc - t)-3.58.