DocumentCode :
3663738
Title :
Linearised coupling of elasticity and Navier-Stokes equations
Author :
Irena Lasiecka;Katarzyna Szulc;Antoni Żochowski
Author_Institution :
System Research Institute Polish Academy of Science, Newelska 6, 01-447 Warsaw, Poland
fYear :
2015
Firstpage :
208
Lastpage :
210
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.
Keywords :
"Shape","Elasticity","Optimization","Navier-Stokes equations","Couplings","Mathematical model","Boundary conditions"
Publisher :
ieee
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2015 20th International Conference on
Type :
conf
DOI :
10.1109/MMAR.2015.7283874
Filename :
7283874
Link To Document :
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