Shape optimization problem for the coupled model of linear elasticity with Navier-Stokes equation

Authors

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

Abstract

We consider a coupled model of linear elasticity with Navier-Stokes equations. Two subdomains Ω1 and Ω2 are considered. In Ω1 there is a linear elasticity model. In Ω2 there is the fluid transport which is modeled by nonlinear Navier-Stokes equations. A propitiate interface conditions should be provided. We want to determine the shape and topological derivatives in Ω2.

Publication Title

2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014

Recommended Citation

Lasiecka, I., Szulc, K., & Zochowski, A. (2014). Shape optimization problem for the coupled model of linear elasticity with Navier-Stokes equation. 2014 19th International Conference on Methods and Models in Automation and Robotics, MMAR 2014, 169-170. https://doi.org/10.1109/MMAR.2014.6957344