Sankaranarayanan, K.; Kevrekidis, I. G.; Sundaresan, S.; Lu, J.; Tryggvason, G. A comparative study of lattice Boltzmann and front-tracking finite-difference methods for bubble simulations. (English) Zbl 1136.76630 Int. J. Multiphase Flow 29, No. 1, 109-116 (2003). Summary: This communication describes the results of bubble rise simulations using a lattice Boltzmann method and a front-tracking finite-difference method. The simulations, performed in a 2-D periodic box, consider two specific examples: a steadily rising bubble and a bubble rising in an oscillatory manner with accompanying shape change. We compare the shapes and rise velocities of the steadily rising and oscillating bubbles, the oscillation frequencies and amplitudes, and the bubble shapes at different phases of the oscillations. The simulations reveal that both numerical schemes afford qualitatively similar results, which are within a few percent quantitatively. Cited in 12 Documents MSC: 76Txx Multiphase and multicomponent flows Keywords:lattice Boltzmann method; front-tracking finite-difference method; bubble rise; gas-liquid flow PDFBibTeX XMLCite \textit{K. Sankaranarayanan} et al., Int. J. Multiphase Flow 29, No. 1, 109--116 (2003; Zbl 1136.76630) Full Text: DOI