Numerical modeling of shock waves in biomedicine

We have developed a multi-phase compressible fluid solver that can handle shock waves efficiently and accurately. Using a level set formulation to treat sharp interfaces and employing multi-resolution techniques, we can study complex shock-bubble interactions. In this work, shock-induced bubble collapse interactions near a deformable interface are presented as a model for a simplified extracorporeal shock-wave lithotripsy experiment. The conservative sharp-interface method was successfully validated for free-field collapse and non-spherical collapse near solid walls. We observe a systematic small deviation of our results compared with that of the diffuse-interface method from the literature.