My research in Professor Johnsen's Computational Flow Physics Laboratory consists of investigating the effects of cavitation in human tissue. Cavitation has a wide array of biomedical applications such as Histotripsy, an ultrasound therapy used to mechanically lesion tissue (more on Histotripsy ). My model implements a Kelvin-Voigt constitutive model to solve the stresses in the tissue and model temperature and vapor concentration gradients inside the bubble. To account for the effects of compressibility in the liquid, I implement a Keller-Miksis model. I use a finite difference method to resolve the temperature and concentration fields inside the bubble. A 4th order Runge-Kutta method with an adaptive step size is used to march the equations in time.
Check out the following link below to learn more about my work: