Unconditionally Stable Pressure-Correction Schemes for a Nonlinear Fluid-Structure Interaction Model

摘要

We consider in this paper numerical approximation of a nonlinear fluid-structure interaction (FSI) model with a fixed interface.We construct a new class of pressure-correction schemes for the FSI problem,and prove rigorously that they are unconditionally stable.These schemes are computationally very efficient,as they lead to,at each time step,a coupled linear elliptic system for the velocity and displacement in the whole region and a discrete Poisson equation in the fluid region.