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We present a numerical study of vorticity production and transport in thetwo-dimensional Rayleigh-B\'enard (RB) convection. Direct numerical simulationsare carried out in the Rayleigh number ($Ra$) range $10^{5}\le Ra \le 10^{6}$,the Prandtl number ($Pr$) of 0.71, and the aspect ratio ($\Gamma$) of theconvection cell range $0.75\le \Gamma \le 6$. We found that the flow structureand temperature distribution vary with $\Gamma$ greatly due to multiplevortices interaction. Further investigation on the vorticity production andtransport reveals that, in the RB convection, in addition to the vorticityproduction due to wall shear stress, buoyancy produces significant vorticity inthe bulk region. The produced vorticity is transported via advection anddiffusion. An interesting finding is that the main vortices and the cornervortices can be visualized via the contour of buoyancy-produced vorticity.Although a vigorous definition of the vortex is still lacking in the community,our efficient vortex visualization approach in the RB convection may shed lighton further research toward vortex identification. We also found that thespatial distribution of vorticity flux along the wall is positively correlatedwith that of the Nusselt number ($Nu$), suggesting the amount of vorticity thatenters the flow is directly related to the amount of thermal energy that entersthe flow.

Production and transport of vorticity in two-dimensional Rayleigh-B\'enard convection cell