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

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

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