On the behavior of nonlinear ultrasonic waves in water-air mixtures

In this paper we present some results related to nonlinear ultrasonic propagation in air-water mixtures. The model we use is based on the coupling of the bubble equation in a volume formulation to the linear wave equation. The main hypothesis are the consideration of adiabatic behavior of the air inside the bubble, uniform size of bubbles, and that the nonlinear behavior comes exclusively from the bubble vibration. Several cases are considered, including continuous and pulsed waves; soliton propagation is also analyzed. Some results considering one bubbly layer are given as well. Finally, a model for standing waves in a cavity is shown. The different numerical algorithms are including in the code SNOW (SNOW-BL).