The objective of this work is to develop a model to simulate the effects observed when a liquid with a distribution of bubbles is stimulated by an ultrasonic wave of large amplitude in a resonator. This model is based on a combination of numerical methods (finite volumes - finite differences). It solves the differential equation system coupling the wave equation with the vibrations of the bubbles. The results presented allow us to observe nonlinear effects, in particular the frequency mixing. The authors acknowledge the support of the Ministry of Economy and Competitiveness of Spain (DPI2012-34613, BES-2013-064399).
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