P4D-9 Numerical Model for the Dynamics of a Contrast Agent Bubble in an Ultrasound Field

The proposed model involves several different scenarios for the calculation of oscillations for both free and contrast agent bubbles. For example, the gas-dynamic calculation can be made only for the inside of a gas bubble, while the dynamics of the encapsulating shell and the ambient fluid is simulated by Rayleigh-Plesset-type equations. A through gas-dynamic calculation over the entire area, taking account of the compressibility of all the media, can also be carried out. In this case, the bubble shell can consist of several layers following different rheological constitutive equations. Moreover, the model allows the calculation of the translational motion of the contrast agent bubble, which makes it possible to enhance the accuracy of calculating the radial oscillation.