The Fictitious Domain Method with Sharp Interface for Elasticity Systems with General Jump Embedded Boundary Conditions

In the framework of fictitious domain methods with immersed interfaces for elasticity problem, present contribution is to study and numerically validate jump-integrated boundary conditions method sharp interface vector system discretized by a proposed finite volume method. The main idea approach consists in embedding original into geometrically larger simpler one called domain. Here, we cell-centered discretize problem. validated different test cases. This work can be considered as first step before more challenging problems such fluid-structure interactions or moving problems.