Modelling bubble clusters in compressible liquids

Creators: Fuster, D.; Colonius, T.

Abstract

We present a new model for bubbly cavitating flows. Based on volume-averaged equations, a subgrid model is added to account for a bubble, or multiple bubbles, within each computational cell. The model converges to the solution of ensemble-averaged bubbly flow equations for weak oscillations and monodisperse systems. In the other extreme, it also converges to the theoretical solution for a single oscillating bubble, and captures the bubble radius evolution and the pressure disturbance induced in the liquid. A substantial saving of computational time is achieved compared to ensemble-averaged models for polydisperse mixtures.

Additional Information

© 2011 Cambridge University Press. Received 3 March 2011; revised 6 July 2011; accepted 7 September 2011; first published online 21 October 2011. The authors would like thank Dr K. Ando for his generous assistance in making the comparisons with his ensemble-averaged models. We would also like to thank Professor C. Brennen for his helpful suggestions. The first author gratefully acknowledges the support of the Spanish Ministry of Education (grant E-28-2009-0540927). This work was supported in part by the Office of Naval Research under grant N00014-06-1-0730.

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