An Efficient Method for Large-Scale Simulations of Bubbly Liquids

An efficient numerical method for simulating the motion of a large number of spherical bubbles through an inviscid liquid is described. The flow induced by each bubble is approximated as that due to a monopole and a dipole, and a rapid summation method based on dividing the system into groups of bubbles is used for evaluating interactions among bubbles. The computational time is shown to increase linearly with the number of bubbles. The method is shown to give accurate results for the effective properties of bubbly liquids.