Linearised coupling of elasticity and Navier-Stokes equations

Authors

Irena Lasiecka, Systems Research Institute of the Polish Academy of SciencesFollow
Katarzyna Szulc, Systems Research Institute of the Polish Academy of Sciences
Antoni Zochowski, Systems Research Institute of the Polish Academy of SciencesFollow

Abstract

In the paper we consider a coupled problem of the linearly elastic body immersed in the flowing fluid which is modelled by means of incompressible Navier-Stokes equations. The approach is based on transforming the variable domain occupied by the fluid to the fixed one corresponding to the un-deformed elastic inclusion. The main idea consists in performing the linearisation of this transformation, similarly as in linear elasticity one assumes the smallness of strains. We base our approach on the observation that the gradients of the suitably defined transformation are bounded by traces of strains on the surface of the elastic body.

Publication Title

2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015

Recommended Citation

Lasiecka, I., Szulc, K., & Zochowski, A. (2015). Linearised coupling of elasticity and Navier-Stokes equations. 2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015, 208-210. https://doi.org/10.1109/MMAR.2015.7283874