Title :
Shape optimization problem for the coupled model of linear elasticity with Navier-Stokes equation
Author :
Lasiecka, Irena ; Szulc, Katarzyna ; Zochowski, Antoni
Author_Institution :
Syst. Res. Inst., Warsaw, Poland
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.
Keywords :
Navier-Stokes equations; elasticity; nonlinear equations; optimisation; coupled linear elasticity model; fluid transport; nonlinear Navier-Stokes equations; propitiate interface conditions; shape derivatives; shape optimization problem; topological derivatives; Elasticity; Equations; Mathematical model; Navier-Stokes equations; Optimization; Shape; Vectors; Coupled Problems; Linear elasticity; Navier-Stokes equation; Numerical Methods; Shape Optimization; Topological Derivative;
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2014 19th International Conference On
Conference_Location :
Miedzyzdroje
Print_ISBN :
978-1-4799-5082-9
DOI :
10.1109/MMAR.2014.6957344
