NUMERICAL ANALYSIS OF SOME DECOUPLING TECHNIQUES FOR THE APPROXIMATION OF THE UNSTEADY FLUID STRUCTURE INTERACTION
Céline Grandmont, V. Guimet, Yvon Maday · Mathematical Models and Methods in Applied Sciences · 2001
This paper deals with the numerical analysis of some algorithms for the simulation of the interaction between a fluid and a structure in the case where the deformation of the structure induces an evolution in the fluid domain. This is a highly nonlinear problem and the algorithms of time decoupling are very numerous and not completely well understood. We study three of them for a one-dimensional representative problem. We prove that the considered algorithms are stable and we also prove that one of them is convergent.