Simulation of gas bubble scattering for large Mach-numbers

Integrated calculations of radius oscillations and acoustic scattering from a coated gas bubble in a fluid, is developed. The elastic compression of the fluid is assumed linear, while convective acceleration produces a nonlinear wave equation for the fluid. The model allows fast, numerical experimentation of the gas bubble scattering. Comparison with Rayleigh-Plesset and the Trilling equations for bubble oscillations in an incident acoustic field is given. For bubble dimensions and incident pressures/frequencies typical for ultrasound contrast agent, the equations give similar results. For elevated incident pressures the new method gives lower scattered pressure than the Trilling and Rayleigh-Plesset equations, most likely due to radiation losses with the nonlinear wave equation for the fluid.