Numerical investigation of the deformation of solid surfaces due to bubble collapse*

The growth and collapse of cavitation bubbles near solid boundaries has been shown to induce permanent deformations and eventually material erosion. In this study, we numerically investigate the inertial collapse of a spherical bubble near a solid wall. To do so, we use a diffuse interface approach in a fully Eulerian framework capable of representing any number of fluid and solid phases via hyperbolic conservation laws. The stress and deformation in the solids are captured by solving an evolution equation for local cobasis of the deformation tensor. The numerical diffusion of interfaces, inherent to this family of schemes, is addressed by the addition of a Phase-Field method, based on the Allen-Cahn formulation. The computational cost is reduced by making use of adaptive mesh refinement. The overall scheme is consistent and conservative and allows to accurately capture deformed interfaces during the violent bubble collapse process. We investigate different configurations to differentiate and characterize the effects of the velocity jet and the shock wave generated during the collapse.